1,1,6927,0,1.191249," ","integrate((e*x)^m*(a+b*x^n)^3*(A+B*x^n)*(c+d*x^n),x, algorithm=""giac"")","\frac{B b^{3} d m^{5} x x^{m} x^{5 \, n} e^{m} + 10 \, B b^{3} d m^{4} n x x^{m} x^{5 \, n} e^{m} + 35 \, B b^{3} d m^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 50 \, B b^{3} d m^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 24 \, B b^{3} d m n^{4} x x^{m} x^{5 \, n} e^{m} + B b^{3} c m^{5} x x^{m} x^{4 \, n} e^{m} + 3 \, B a b^{2} d m^{5} x x^{m} x^{4 \, n} e^{m} + A b^{3} d m^{5} x x^{m} x^{4 \, n} e^{m} + 11 \, B b^{3} c m^{4} n x x^{m} x^{4 \, n} e^{m} + 33 \, B a b^{2} d m^{4} n x x^{m} x^{4 \, n} e^{m} + 11 \, A b^{3} d m^{4} n x x^{m} x^{4 \, n} e^{m} + 41 \, B b^{3} c m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 123 \, B a b^{2} d m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 41 \, A b^{3} d m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 61 \, B b^{3} c m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 183 \, B a b^{2} d m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 61 \, A b^{3} d m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 30 \, B b^{3} c m n^{4} x x^{m} x^{4 \, n} e^{m} + 90 \, B a b^{2} d m n^{4} x x^{m} x^{4 \, n} e^{m} + 30 \, A b^{3} d m n^{4} x x^{m} x^{4 \, n} e^{m} + 3 \, B a b^{2} c m^{5} x x^{m} x^{3 \, n} e^{m} + A b^{3} c m^{5} x x^{m} x^{3 \, n} e^{m} + 3 \, B a^{2} b d m^{5} x x^{m} x^{3 \, n} e^{m} + 3 \, A a b^{2} d m^{5} x x^{m} x^{3 \, n} e^{m} + 36 \, B a b^{2} c m^{4} n x x^{m} x^{3 \, n} e^{m} + 12 \, A b^{3} c m^{4} n x x^{m} x^{3 \, n} e^{m} + 36 \, B a^{2} b d m^{4} n x x^{m} x^{3 \, n} e^{m} + 36 \, A a b^{2} d m^{4} n x x^{m} x^{3 \, n} e^{m} + 147 \, B a b^{2} c m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 49 \, A b^{3} c m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, B a^{2} b d m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, A a b^{2} d m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 234 \, B a b^{2} c m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 78 \, A b^{3} c m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 234 \, B a^{2} b d m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 234 \, A a b^{2} d m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 120 \, B a b^{2} c m n^{4} x x^{m} x^{3 \, n} e^{m} + 40 \, A b^{3} c m n^{4} x x^{m} x^{3 \, n} e^{m} + 120 \, B a^{2} b d m n^{4} x x^{m} x^{3 \, n} e^{m} + 120 \, A a b^{2} d m n^{4} x x^{m} x^{3 \, n} e^{m} + 3 \, B a^{2} b c m^{5} x x^{m} x^{2 \, n} e^{m} + 3 \, A a b^{2} c m^{5} x x^{m} x^{2 \, n} e^{m} + B a^{3} d m^{5} x x^{m} x^{2 \, n} e^{m} + 3 \, A a^{2} b d m^{5} x x^{m} x^{2 \, n} e^{m} + 39 \, B a^{2} b c m^{4} n x x^{m} x^{2 \, n} e^{m} + 39 \, A a b^{2} c m^{4} n x x^{m} x^{2 \, n} e^{m} + 13 \, B a^{3} d m^{4} n x x^{m} x^{2 \, n} e^{m} + 39 \, A a^{2} b d m^{4} n x x^{m} x^{2 \, n} e^{m} + 177 \, B a^{2} b c m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A a b^{2} c m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 59 \, B a^{3} d m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A a^{2} b d m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 321 \, B a^{2} b c m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 321 \, A a b^{2} c m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 107 \, B a^{3} d m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 321 \, A a^{2} b d m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 180 \, B a^{2} b c m n^{4} x x^{m} x^{2 \, n} e^{m} + 180 \, A a b^{2} c m n^{4} x x^{m} x^{2 \, n} e^{m} + 60 \, B a^{3} d m n^{4} x x^{m} x^{2 \, n} e^{m} + 180 \, A a^{2} b d m n^{4} x x^{m} x^{2 \, n} e^{m} + B a^{3} c m^{5} x x^{m} x^{n} e^{m} + 3 \, A a^{2} b c m^{5} x x^{m} x^{n} e^{m} + A a^{3} d m^{5} x x^{m} x^{n} e^{m} + 14 \, B a^{3} c m^{4} n x x^{m} x^{n} e^{m} + 42 \, A a^{2} b c m^{4} n x x^{m} x^{n} e^{m} + 14 \, A a^{3} d m^{4} n x x^{m} x^{n} e^{m} + 71 \, B a^{3} c m^{3} n^{2} x x^{m} x^{n} e^{m} + 213 \, A a^{2} b c m^{3} n^{2} x x^{m} x^{n} e^{m} + 71 \, A a^{3} d m^{3} n^{2} x x^{m} x^{n} e^{m} + 154 \, B a^{3} c m^{2} n^{3} x x^{m} x^{n} e^{m} + 462 \, A a^{2} b c m^{2} n^{3} x x^{m} x^{n} e^{m} + 154 \, A a^{3} d m^{2} n^{3} x x^{m} x^{n} e^{m} + 120 \, B a^{3} c m n^{4} x x^{m} x^{n} e^{m} + 360 \, A a^{2} b c m n^{4} x x^{m} x^{n} e^{m} + 120 \, A a^{3} d m n^{4} x x^{m} x^{n} e^{m} + A a^{3} c m^{5} x x^{m} e^{m} + 15 \, A a^{3} c m^{4} n x x^{m} e^{m} + 85 \, A a^{3} c m^{3} n^{2} x x^{m} e^{m} + 225 \, A a^{3} c m^{2} n^{3} x x^{m} e^{m} + 274 \, A a^{3} c m n^{4} x x^{m} e^{m} + 120 \, A a^{3} c n^{5} x x^{m} e^{m} + 5 \, B b^{3} d m^{4} x x^{m} x^{5 \, n} e^{m} + 40 \, B b^{3} d m^{3} n x x^{m} x^{5 \, n} e^{m} + 105 \, B b^{3} d m^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 100 \, B b^{3} d m n^{3} x x^{m} x^{5 \, n} e^{m} + 24 \, B b^{3} d n^{4} x x^{m} x^{5 \, n} e^{m} + 5 \, B b^{3} c m^{4} x x^{m} x^{4 \, n} e^{m} + 15 \, B a b^{2} d m^{4} x x^{m} x^{4 \, n} e^{m} + 5 \, A b^{3} d m^{4} x x^{m} x^{4 \, n} e^{m} + 44 \, B b^{3} c m^{3} n x x^{m} x^{4 \, n} e^{m} + 132 \, B a b^{2} d m^{3} n x x^{m} x^{4 \, n} e^{m} + 44 \, A b^{3} d m^{3} n x x^{m} x^{4 \, n} e^{m} + 123 \, B b^{3} c m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 369 \, B a b^{2} d m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 123 \, A b^{3} d m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 122 \, B b^{3} c m n^{3} x x^{m} x^{4 \, n} e^{m} + 366 \, B a b^{2} d m n^{3} x x^{m} x^{4 \, n} e^{m} + 122 \, A b^{3} d m n^{3} x x^{m} x^{4 \, n} e^{m} + 30 \, B b^{3} c n^{4} x x^{m} x^{4 \, n} e^{m} + 90 \, B a b^{2} d n^{4} x x^{m} x^{4 \, n} e^{m} + 30 \, A b^{3} d n^{4} x x^{m} x^{4 \, n} e^{m} + 15 \, B a b^{2} c m^{4} x x^{m} x^{3 \, n} e^{m} + 5 \, A b^{3} c m^{4} x x^{m} x^{3 \, n} e^{m} + 15 \, B a^{2} b d m^{4} x x^{m} x^{3 \, n} e^{m} + 15 \, A a b^{2} d m^{4} x x^{m} x^{3 \, n} e^{m} + 144 \, B a b^{2} c m^{3} n x x^{m} x^{3 \, n} e^{m} + 48 \, A b^{3} c m^{3} n x x^{m} x^{3 \, n} e^{m} + 144 \, B a^{2} b d m^{3} n x x^{m} x^{3 \, n} e^{m} + 144 \, A a b^{2} d m^{3} n x x^{m} x^{3 \, n} e^{m} + 441 \, B a b^{2} c m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, A b^{3} c m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 441 \, B a^{2} b d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 441 \, A a b^{2} d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 468 \, B a b^{2} c m n^{3} x x^{m} x^{3 \, n} e^{m} + 156 \, A b^{3} c m n^{3} x x^{m} x^{3 \, n} e^{m} + 468 \, B a^{2} b d m n^{3} x x^{m} x^{3 \, n} e^{m} + 468 \, A a b^{2} d m n^{3} x x^{m} x^{3 \, n} e^{m} + 120 \, B a b^{2} c n^{4} x x^{m} x^{3 \, n} e^{m} + 40 \, A b^{3} c n^{4} x x^{m} x^{3 \, n} e^{m} + 120 \, B a^{2} b d n^{4} x x^{m} x^{3 \, n} e^{m} + 120 \, A a b^{2} d n^{4} x x^{m} x^{3 \, n} e^{m} + 15 \, B a^{2} b c m^{4} x x^{m} x^{2 \, n} e^{m} + 15 \, A a b^{2} c m^{4} x x^{m} x^{2 \, n} e^{m} + 5 \, B a^{3} d m^{4} x x^{m} x^{2 \, n} e^{m} + 15 \, A a^{2} b d m^{4} x x^{m} x^{2 \, n} e^{m} + 156 \, B a^{2} b c m^{3} n x x^{m} x^{2 \, n} e^{m} + 156 \, A a b^{2} c m^{3} n x x^{m} x^{2 \, n} e^{m} + 52 \, B a^{3} d m^{3} n x x^{m} x^{2 \, n} e^{m} + 156 \, A a^{2} b d m^{3} n x x^{m} x^{2 \, n} e^{m} + 531 \, B a^{2} b c m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 531 \, A a b^{2} c m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, B a^{3} d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 531 \, A a^{2} b d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 642 \, B a^{2} b c m n^{3} x x^{m} x^{2 \, n} e^{m} + 642 \, A a b^{2} c m n^{3} x x^{m} x^{2 \, n} e^{m} + 214 \, B a^{3} d m n^{3} x x^{m} x^{2 \, n} e^{m} + 642 \, A a^{2} b d m n^{3} x x^{m} x^{2 \, n} e^{m} + 180 \, B a^{2} b c n^{4} x x^{m} x^{2 \, n} e^{m} + 180 \, A a b^{2} c n^{4} x x^{m} x^{2 \, n} e^{m} + 60 \, B a^{3} d n^{4} x x^{m} x^{2 \, n} e^{m} + 180 \, A a^{2} b d n^{4} x x^{m} x^{2 \, n} e^{m} + 5 \, B a^{3} c m^{4} x x^{m} x^{n} e^{m} + 15 \, A a^{2} b c m^{4} x x^{m} x^{n} e^{m} + 5 \, A a^{3} d m^{4} x x^{m} x^{n} e^{m} + 56 \, B a^{3} c m^{3} n x x^{m} x^{n} e^{m} + 168 \, A a^{2} b c m^{3} n x x^{m} x^{n} e^{m} + 56 \, A a^{3} d m^{3} n x x^{m} x^{n} e^{m} + 213 \, B a^{3} c m^{2} n^{2} x x^{m} x^{n} e^{m} + 639 \, A a^{2} b c m^{2} n^{2} x x^{m} x^{n} e^{m} + 213 \, A a^{3} d m^{2} n^{2} x x^{m} x^{n} e^{m} + 308 \, B a^{3} c m n^{3} x x^{m} x^{n} e^{m} + 924 \, A a^{2} b c m n^{3} x x^{m} x^{n} e^{m} + 308 \, A a^{3} d m n^{3} x x^{m} x^{n} e^{m} + 120 \, B a^{3} c n^{4} x x^{m} x^{n} e^{m} + 360 \, A a^{2} b c n^{4} x x^{m} x^{n} e^{m} + 120 \, A a^{3} d n^{4} x x^{m} x^{n} e^{m} + 5 \, A a^{3} c m^{4} x x^{m} e^{m} + 60 \, A a^{3} c m^{3} n x x^{m} e^{m} + 255 \, A a^{3} c m^{2} n^{2} x x^{m} e^{m} + 450 \, A a^{3} c m n^{3} x x^{m} e^{m} + 274 \, A a^{3} c n^{4} x x^{m} e^{m} + 10 \, B b^{3} d m^{3} x x^{m} x^{5 \, n} e^{m} + 60 \, B b^{3} d m^{2} n x x^{m} x^{5 \, n} e^{m} + 105 \, B b^{3} d m n^{2} x x^{m} x^{5 \, n} e^{m} + 50 \, B b^{3} d n^{3} x x^{m} x^{5 \, n} e^{m} + 10 \, B b^{3} c m^{3} x x^{m} x^{4 \, n} e^{m} + 30 \, B a b^{2} d m^{3} x x^{m} x^{4 \, n} e^{m} + 10 \, A b^{3} d m^{3} x x^{m} x^{4 \, n} e^{m} + 66 \, B b^{3} c m^{2} n x x^{m} x^{4 \, n} e^{m} + 198 \, B a b^{2} d m^{2} n x x^{m} x^{4 \, n} e^{m} + 66 \, A b^{3} d m^{2} n x x^{m} x^{4 \, n} e^{m} + 123 \, B b^{3} c m n^{2} x x^{m} x^{4 \, n} e^{m} + 369 \, B a b^{2} d m n^{2} x x^{m} x^{4 \, n} e^{m} + 123 \, A b^{3} d m n^{2} x x^{m} x^{4 \, n} e^{m} + 61 \, B b^{3} c n^{3} x x^{m} x^{4 \, n} e^{m} + 183 \, B a b^{2} d n^{3} x x^{m} x^{4 \, n} e^{m} + 61 \, A b^{3} d n^{3} x x^{m} x^{4 \, n} e^{m} + 30 \, B a b^{2} c m^{3} x x^{m} x^{3 \, n} e^{m} + 10 \, A b^{3} c m^{3} x x^{m} x^{3 \, n} e^{m} + 30 \, B a^{2} b d m^{3} x x^{m} x^{3 \, n} e^{m} + 30 \, A a b^{2} d m^{3} x x^{m} x^{3 \, n} e^{m} + 216 \, B a b^{2} c m^{2} n x x^{m} x^{3 \, n} e^{m} + 72 \, A b^{3} c m^{2} n x x^{m} x^{3 \, n} e^{m} + 216 \, B a^{2} b d m^{2} n x x^{m} x^{3 \, n} e^{m} + 216 \, A a b^{2} d m^{2} n x x^{m} x^{3 \, n} e^{m} + 441 \, B a b^{2} c m n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, A b^{3} c m n^{2} x x^{m} x^{3 \, n} e^{m} + 441 \, B a^{2} b d m n^{2} x x^{m} x^{3 \, n} e^{m} + 441 \, A a b^{2} d m n^{2} x x^{m} x^{3 \, n} e^{m} + 234 \, B a b^{2} c n^{3} x x^{m} x^{3 \, n} e^{m} + 78 \, A b^{3} c n^{3} x x^{m} x^{3 \, n} e^{m} + 234 \, B a^{2} b d n^{3} x x^{m} x^{3 \, n} e^{m} + 234 \, A a b^{2} d n^{3} x x^{m} x^{3 \, n} e^{m} + 30 \, B a^{2} b c m^{3} x x^{m} x^{2 \, n} e^{m} + 30 \, A a b^{2} c m^{3} x x^{m} x^{2 \, n} e^{m} + 10 \, B a^{3} d m^{3} x x^{m} x^{2 \, n} e^{m} + 30 \, A a^{2} b d m^{3} x x^{m} x^{2 \, n} e^{m} + 234 \, B a^{2} b c m^{2} n x x^{m} x^{2 \, n} e^{m} + 234 \, A a b^{2} c m^{2} n x x^{m} x^{2 \, n} e^{m} + 78 \, B a^{3} d m^{2} n x x^{m} x^{2 \, n} e^{m} + 234 \, A a^{2} b d m^{2} n x x^{m} x^{2 \, n} e^{m} + 531 \, B a^{2} b c m n^{2} x x^{m} x^{2 \, n} e^{m} + 531 \, A a b^{2} c m n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, B a^{3} d m n^{2} x x^{m} x^{2 \, n} e^{m} + 531 \, A a^{2} b d m n^{2} x x^{m} x^{2 \, n} e^{m} + 321 \, B a^{2} b c n^{3} x x^{m} x^{2 \, n} e^{m} + 321 \, A a b^{2} c n^{3} x x^{m} x^{2 \, n} e^{m} + 107 \, B a^{3} d n^{3} x x^{m} x^{2 \, n} e^{m} + 321 \, A a^{2} b d n^{3} x x^{m} x^{2 \, n} e^{m} + 10 \, B a^{3} c m^{3} x x^{m} x^{n} e^{m} + 30 \, A a^{2} b c m^{3} x x^{m} x^{n} e^{m} + 10 \, A a^{3} d m^{3} x x^{m} x^{n} e^{m} + 84 \, B a^{3} c m^{2} n x x^{m} x^{n} e^{m} + 252 \, A a^{2} b c m^{2} n x x^{m} x^{n} e^{m} + 84 \, A a^{3} d m^{2} n x x^{m} x^{n} e^{m} + 213 \, B a^{3} c m n^{2} x x^{m} x^{n} e^{m} + 639 \, A a^{2} b c m n^{2} x x^{m} x^{n} e^{m} + 213 \, A a^{3} d m n^{2} x x^{m} x^{n} e^{m} + 154 \, B a^{3} c n^{3} x x^{m} x^{n} e^{m} + 462 \, A a^{2} b c n^{3} x x^{m} x^{n} e^{m} + 154 \, A a^{3} d n^{3} x x^{m} x^{n} e^{m} + 10 \, A a^{3} c m^{3} x x^{m} e^{m} + 90 \, A a^{3} c m^{2} n x x^{m} e^{m} + 255 \, A a^{3} c m n^{2} x x^{m} e^{m} + 225 \, A a^{3} c n^{3} x x^{m} e^{m} + 10 \, B b^{3} d m^{2} x x^{m} x^{5 \, n} e^{m} + 40 \, B b^{3} d m n x x^{m} x^{5 \, n} e^{m} + 35 \, B b^{3} d n^{2} x x^{m} x^{5 \, n} e^{m} + 10 \, B b^{3} c m^{2} x x^{m} x^{4 \, n} e^{m} + 30 \, B a b^{2} d m^{2} x x^{m} x^{4 \, n} e^{m} + 10 \, A b^{3} d m^{2} x x^{m} x^{4 \, n} e^{m} + 44 \, B b^{3} c m n x x^{m} x^{4 \, n} e^{m} + 132 \, B a b^{2} d m n x x^{m} x^{4 \, n} e^{m} + 44 \, A b^{3} d m n x x^{m} x^{4 \, n} e^{m} + 41 \, B b^{3} c n^{2} x x^{m} x^{4 \, n} e^{m} + 123 \, B a b^{2} d n^{2} x x^{m} x^{4 \, n} e^{m} + 41 \, A b^{3} d n^{2} x x^{m} x^{4 \, n} e^{m} + 30 \, B a b^{2} c m^{2} x x^{m} x^{3 \, n} e^{m} + 10 \, A b^{3} c m^{2} x x^{m} x^{3 \, n} e^{m} + 30 \, B a^{2} b d m^{2} x x^{m} x^{3 \, n} e^{m} + 30 \, A a b^{2} d m^{2} x x^{m} x^{3 \, n} e^{m} + 144 \, B a b^{2} c m n x x^{m} x^{3 \, n} e^{m} + 48 \, A b^{3} c m n x x^{m} x^{3 \, n} e^{m} + 144 \, B a^{2} b d m n x x^{m} x^{3 \, n} e^{m} + 144 \, A a b^{2} d m n x x^{m} x^{3 \, n} e^{m} + 147 \, B a b^{2} c n^{2} x x^{m} x^{3 \, n} e^{m} + 49 \, A b^{3} c n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, B a^{2} b d n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, A a b^{2} d n^{2} x x^{m} x^{3 \, n} e^{m} + 30 \, B a^{2} b c m^{2} x x^{m} x^{2 \, n} e^{m} + 30 \, A a b^{2} c m^{2} x x^{m} x^{2 \, n} e^{m} + 10 \, B a^{3} d m^{2} x x^{m} x^{2 \, n} e^{m} + 30 \, A a^{2} b d m^{2} x x^{m} x^{2 \, n} e^{m} + 156 \, B a^{2} b c m n x x^{m} x^{2 \, n} e^{m} + 156 \, A a b^{2} c m n x x^{m} x^{2 \, n} e^{m} + 52 \, B a^{3} d m n x x^{m} x^{2 \, n} e^{m} + 156 \, A a^{2} b d m n x x^{m} x^{2 \, n} e^{m} + 177 \, B a^{2} b c n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A a b^{2} c n^{2} x x^{m} x^{2 \, n} e^{m} + 59 \, B a^{3} d n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A a^{2} b d n^{2} x x^{m} x^{2 \, n} e^{m} + 10 \, B a^{3} c m^{2} x x^{m} x^{n} e^{m} + 30 \, A a^{2} b c m^{2} x x^{m} x^{n} e^{m} + 10 \, A a^{3} d m^{2} x x^{m} x^{n} e^{m} + 56 \, B a^{3} c m n x x^{m} x^{n} e^{m} + 168 \, A a^{2} b c m n x x^{m} x^{n} e^{m} + 56 \, A a^{3} d m n x x^{m} x^{n} e^{m} + 71 \, B a^{3} c n^{2} x x^{m} x^{n} e^{m} + 213 \, A a^{2} b c n^{2} x x^{m} x^{n} e^{m} + 71 \, A a^{3} d n^{2} x x^{m} x^{n} e^{m} + 10 \, A a^{3} c m^{2} x x^{m} e^{m} + 60 \, A a^{3} c m n x x^{m} e^{m} + 85 \, A a^{3} c n^{2} x x^{m} e^{m} + 5 \, B b^{3} d m x x^{m} x^{5 \, n} e^{m} + 10 \, B b^{3} d n x x^{m} x^{5 \, n} e^{m} + 5 \, B b^{3} c m x x^{m} x^{4 \, n} e^{m} + 15 \, B a b^{2} d m x x^{m} x^{4 \, n} e^{m} + 5 \, A b^{3} d m x x^{m} x^{4 \, n} e^{m} + 11 \, B b^{3} c n x x^{m} x^{4 \, n} e^{m} + 33 \, B a b^{2} d n x x^{m} x^{4 \, n} e^{m} + 11 \, A b^{3} d n x x^{m} x^{4 \, n} e^{m} + 15 \, B a b^{2} c m x x^{m} x^{3 \, n} e^{m} + 5 \, A b^{3} c m x x^{m} x^{3 \, n} e^{m} + 15 \, B a^{2} b d m x x^{m} x^{3 \, n} e^{m} + 15 \, A a b^{2} d m x x^{m} x^{3 \, n} e^{m} + 36 \, B a b^{2} c n x x^{m} x^{3 \, n} e^{m} + 12 \, A b^{3} c n x x^{m} x^{3 \, n} e^{m} + 36 \, B a^{2} b d n x x^{m} x^{3 \, n} e^{m} + 36 \, A a b^{2} d n x x^{m} x^{3 \, n} e^{m} + 15 \, B a^{2} b c m x x^{m} x^{2 \, n} e^{m} + 15 \, A a b^{2} c m x x^{m} x^{2 \, n} e^{m} + 5 \, B a^{3} d m x x^{m} x^{2 \, n} e^{m} + 15 \, A a^{2} b d m x x^{m} x^{2 \, n} e^{m} + 39 \, B a^{2} b c n x x^{m} x^{2 \, n} e^{m} + 39 \, A a b^{2} c n x x^{m} x^{2 \, n} e^{m} + 13 \, B a^{3} d n x x^{m} x^{2 \, n} e^{m} + 39 \, A a^{2} b d n x x^{m} x^{2 \, n} e^{m} + 5 \, B a^{3} c m x x^{m} x^{n} e^{m} + 15 \, A a^{2} b c m x x^{m} x^{n} e^{m} + 5 \, A a^{3} d m x x^{m} x^{n} e^{m} + 14 \, B a^{3} c n x x^{m} x^{n} e^{m} + 42 \, A a^{2} b c n x x^{m} x^{n} e^{m} + 14 \, A a^{3} d n x x^{m} x^{n} e^{m} + 5 \, A a^{3} c m x x^{m} e^{m} + 15 \, A a^{3} c n x x^{m} e^{m} + B b^{3} d x x^{m} x^{5 \, n} e^{m} + B b^{3} c x x^{m} x^{4 \, n} e^{m} + 3 \, B a b^{2} d x x^{m} x^{4 \, n} e^{m} + A b^{3} d x x^{m} x^{4 \, n} e^{m} + 3 \, B a b^{2} c x x^{m} x^{3 \, n} e^{m} + A b^{3} c x x^{m} x^{3 \, n} e^{m} + 3 \, B a^{2} b d x x^{m} x^{3 \, n} e^{m} + 3 \, A a b^{2} d x x^{m} x^{3 \, n} e^{m} + 3 \, B a^{2} b c x x^{m} x^{2 \, n} e^{m} + 3 \, A a b^{2} c x x^{m} x^{2 \, n} e^{m} + B a^{3} d x x^{m} x^{2 \, n} e^{m} + 3 \, A a^{2} b d x x^{m} x^{2 \, n} e^{m} + B a^{3} c x x^{m} x^{n} e^{m} + 3 \, A a^{2} b c x x^{m} x^{n} e^{m} + A a^{3} d x x^{m} x^{n} e^{m} + A a^{3} c x x^{m} e^{m}}{m^{6} + 15 \, m^{5} n + 85 \, m^{4} n^{2} + 225 \, m^{3} n^{3} + 274 \, m^{2} n^{4} + 120 \, m n^{5} + 6 \, m^{5} + 75 \, m^{4} n + 340 \, m^{3} n^{2} + 675 \, m^{2} n^{3} + 548 \, m n^{4} + 120 \, n^{5} + 15 \, m^{4} + 150 \, m^{3} n + 510 \, m^{2} n^{2} + 675 \, m n^{3} + 274 \, n^{4} + 20 \, m^{3} + 150 \, m^{2} n + 340 \, m n^{2} + 225 \, n^{3} + 15 \, m^{2} + 75 \, m n + 85 \, n^{2} + 6 \, m + 15 \, n + 1}"," ",0,"(B*b^3*d*m^5*x*x^m*x^(5*n)*e^m + 10*B*b^3*d*m^4*n*x*x^m*x^(5*n)*e^m + 35*B*b^3*d*m^3*n^2*x*x^m*x^(5*n)*e^m + 50*B*b^3*d*m^2*n^3*x*x^m*x^(5*n)*e^m + 24*B*b^3*d*m*n^4*x*x^m*x^(5*n)*e^m + B*b^3*c*m^5*x*x^m*x^(4*n)*e^m + 3*B*a*b^2*d*m^5*x*x^m*x^(4*n)*e^m + A*b^3*d*m^5*x*x^m*x^(4*n)*e^m + 11*B*b^3*c*m^4*n*x*x^m*x^(4*n)*e^m + 33*B*a*b^2*d*m^4*n*x*x^m*x^(4*n)*e^m + 11*A*b^3*d*m^4*n*x*x^m*x^(4*n)*e^m + 41*B*b^3*c*m^3*n^2*x*x^m*x^(4*n)*e^m + 123*B*a*b^2*d*m^3*n^2*x*x^m*x^(4*n)*e^m + 41*A*b^3*d*m^3*n^2*x*x^m*x^(4*n)*e^m + 61*B*b^3*c*m^2*n^3*x*x^m*x^(4*n)*e^m + 183*B*a*b^2*d*m^2*n^3*x*x^m*x^(4*n)*e^m + 61*A*b^3*d*m^2*n^3*x*x^m*x^(4*n)*e^m + 30*B*b^3*c*m*n^4*x*x^m*x^(4*n)*e^m + 90*B*a*b^2*d*m*n^4*x*x^m*x^(4*n)*e^m + 30*A*b^3*d*m*n^4*x*x^m*x^(4*n)*e^m + 3*B*a*b^2*c*m^5*x*x^m*x^(3*n)*e^m + A*b^3*c*m^5*x*x^m*x^(3*n)*e^m + 3*B*a^2*b*d*m^5*x*x^m*x^(3*n)*e^m + 3*A*a*b^2*d*m^5*x*x^m*x^(3*n)*e^m + 36*B*a*b^2*c*m^4*n*x*x^m*x^(3*n)*e^m + 12*A*b^3*c*m^4*n*x*x^m*x^(3*n)*e^m + 36*B*a^2*b*d*m^4*n*x*x^m*x^(3*n)*e^m + 36*A*a*b^2*d*m^4*n*x*x^m*x^(3*n)*e^m + 147*B*a*b^2*c*m^3*n^2*x*x^m*x^(3*n)*e^m + 49*A*b^3*c*m^3*n^2*x*x^m*x^(3*n)*e^m + 147*B*a^2*b*d*m^3*n^2*x*x^m*x^(3*n)*e^m + 147*A*a*b^2*d*m^3*n^2*x*x^m*x^(3*n)*e^m + 234*B*a*b^2*c*m^2*n^3*x*x^m*x^(3*n)*e^m + 78*A*b^3*c*m^2*n^3*x*x^m*x^(3*n)*e^m + 234*B*a^2*b*d*m^2*n^3*x*x^m*x^(3*n)*e^m + 234*A*a*b^2*d*m^2*n^3*x*x^m*x^(3*n)*e^m + 120*B*a*b^2*c*m*n^4*x*x^m*x^(3*n)*e^m + 40*A*b^3*c*m*n^4*x*x^m*x^(3*n)*e^m + 120*B*a^2*b*d*m*n^4*x*x^m*x^(3*n)*e^m + 120*A*a*b^2*d*m*n^4*x*x^m*x^(3*n)*e^m + 3*B*a^2*b*c*m^5*x*x^m*x^(2*n)*e^m + 3*A*a*b^2*c*m^5*x*x^m*x^(2*n)*e^m + B*a^3*d*m^5*x*x^m*x^(2*n)*e^m + 3*A*a^2*b*d*m^5*x*x^m*x^(2*n)*e^m + 39*B*a^2*b*c*m^4*n*x*x^m*x^(2*n)*e^m + 39*A*a*b^2*c*m^4*n*x*x^m*x^(2*n)*e^m + 13*B*a^3*d*m^4*n*x*x^m*x^(2*n)*e^m + 39*A*a^2*b*d*m^4*n*x*x^m*x^(2*n)*e^m + 177*B*a^2*b*c*m^3*n^2*x*x^m*x^(2*n)*e^m + 177*A*a*b^2*c*m^3*n^2*x*x^m*x^(2*n)*e^m + 59*B*a^3*d*m^3*n^2*x*x^m*x^(2*n)*e^m + 177*A*a^2*b*d*m^3*n^2*x*x^m*x^(2*n)*e^m + 321*B*a^2*b*c*m^2*n^3*x*x^m*x^(2*n)*e^m + 321*A*a*b^2*c*m^2*n^3*x*x^m*x^(2*n)*e^m + 107*B*a^3*d*m^2*n^3*x*x^m*x^(2*n)*e^m + 321*A*a^2*b*d*m^2*n^3*x*x^m*x^(2*n)*e^m + 180*B*a^2*b*c*m*n^4*x*x^m*x^(2*n)*e^m + 180*A*a*b^2*c*m*n^4*x*x^m*x^(2*n)*e^m + 60*B*a^3*d*m*n^4*x*x^m*x^(2*n)*e^m + 180*A*a^2*b*d*m*n^4*x*x^m*x^(2*n)*e^m + B*a^3*c*m^5*x*x^m*x^n*e^m + 3*A*a^2*b*c*m^5*x*x^m*x^n*e^m + A*a^3*d*m^5*x*x^m*x^n*e^m + 14*B*a^3*c*m^4*n*x*x^m*x^n*e^m + 42*A*a^2*b*c*m^4*n*x*x^m*x^n*e^m + 14*A*a^3*d*m^4*n*x*x^m*x^n*e^m + 71*B*a^3*c*m^3*n^2*x*x^m*x^n*e^m + 213*A*a^2*b*c*m^3*n^2*x*x^m*x^n*e^m + 71*A*a^3*d*m^3*n^2*x*x^m*x^n*e^m + 154*B*a^3*c*m^2*n^3*x*x^m*x^n*e^m + 462*A*a^2*b*c*m^2*n^3*x*x^m*x^n*e^m + 154*A*a^3*d*m^2*n^3*x*x^m*x^n*e^m + 120*B*a^3*c*m*n^4*x*x^m*x^n*e^m + 360*A*a^2*b*c*m*n^4*x*x^m*x^n*e^m + 120*A*a^3*d*m*n^4*x*x^m*x^n*e^m + A*a^3*c*m^5*x*x^m*e^m + 15*A*a^3*c*m^4*n*x*x^m*e^m + 85*A*a^3*c*m^3*n^2*x*x^m*e^m + 225*A*a^3*c*m^2*n^3*x*x^m*e^m + 274*A*a^3*c*m*n^4*x*x^m*e^m + 120*A*a^3*c*n^5*x*x^m*e^m + 5*B*b^3*d*m^4*x*x^m*x^(5*n)*e^m + 40*B*b^3*d*m^3*n*x*x^m*x^(5*n)*e^m + 105*B*b^3*d*m^2*n^2*x*x^m*x^(5*n)*e^m + 100*B*b^3*d*m*n^3*x*x^m*x^(5*n)*e^m + 24*B*b^3*d*n^4*x*x^m*x^(5*n)*e^m + 5*B*b^3*c*m^4*x*x^m*x^(4*n)*e^m + 15*B*a*b^2*d*m^4*x*x^m*x^(4*n)*e^m + 5*A*b^3*d*m^4*x*x^m*x^(4*n)*e^m + 44*B*b^3*c*m^3*n*x*x^m*x^(4*n)*e^m + 132*B*a*b^2*d*m^3*n*x*x^m*x^(4*n)*e^m + 44*A*b^3*d*m^3*n*x*x^m*x^(4*n)*e^m + 123*B*b^3*c*m^2*n^2*x*x^m*x^(4*n)*e^m + 369*B*a*b^2*d*m^2*n^2*x*x^m*x^(4*n)*e^m + 123*A*b^3*d*m^2*n^2*x*x^m*x^(4*n)*e^m + 122*B*b^3*c*m*n^3*x*x^m*x^(4*n)*e^m + 366*B*a*b^2*d*m*n^3*x*x^m*x^(4*n)*e^m + 122*A*b^3*d*m*n^3*x*x^m*x^(4*n)*e^m + 30*B*b^3*c*n^4*x*x^m*x^(4*n)*e^m + 90*B*a*b^2*d*n^4*x*x^m*x^(4*n)*e^m + 30*A*b^3*d*n^4*x*x^m*x^(4*n)*e^m + 15*B*a*b^2*c*m^4*x*x^m*x^(3*n)*e^m + 5*A*b^3*c*m^4*x*x^m*x^(3*n)*e^m + 15*B*a^2*b*d*m^4*x*x^m*x^(3*n)*e^m + 15*A*a*b^2*d*m^4*x*x^m*x^(3*n)*e^m + 144*B*a*b^2*c*m^3*n*x*x^m*x^(3*n)*e^m + 48*A*b^3*c*m^3*n*x*x^m*x^(3*n)*e^m + 144*B*a^2*b*d*m^3*n*x*x^m*x^(3*n)*e^m + 144*A*a*b^2*d*m^3*n*x*x^m*x^(3*n)*e^m + 441*B*a*b^2*c*m^2*n^2*x*x^m*x^(3*n)*e^m + 147*A*b^3*c*m^2*n^2*x*x^m*x^(3*n)*e^m + 441*B*a^2*b*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 441*A*a*b^2*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 468*B*a*b^2*c*m*n^3*x*x^m*x^(3*n)*e^m + 156*A*b^3*c*m*n^3*x*x^m*x^(3*n)*e^m + 468*B*a^2*b*d*m*n^3*x*x^m*x^(3*n)*e^m + 468*A*a*b^2*d*m*n^3*x*x^m*x^(3*n)*e^m + 120*B*a*b^2*c*n^4*x*x^m*x^(3*n)*e^m + 40*A*b^3*c*n^4*x*x^m*x^(3*n)*e^m + 120*B*a^2*b*d*n^4*x*x^m*x^(3*n)*e^m + 120*A*a*b^2*d*n^4*x*x^m*x^(3*n)*e^m + 15*B*a^2*b*c*m^4*x*x^m*x^(2*n)*e^m + 15*A*a*b^2*c*m^4*x*x^m*x^(2*n)*e^m + 5*B*a^3*d*m^4*x*x^m*x^(2*n)*e^m + 15*A*a^2*b*d*m^4*x*x^m*x^(2*n)*e^m + 156*B*a^2*b*c*m^3*n*x*x^m*x^(2*n)*e^m + 156*A*a*b^2*c*m^3*n*x*x^m*x^(2*n)*e^m + 52*B*a^3*d*m^3*n*x*x^m*x^(2*n)*e^m + 156*A*a^2*b*d*m^3*n*x*x^m*x^(2*n)*e^m + 531*B*a^2*b*c*m^2*n^2*x*x^m*x^(2*n)*e^m + 531*A*a*b^2*c*m^2*n^2*x*x^m*x^(2*n)*e^m + 177*B*a^3*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 531*A*a^2*b*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 642*B*a^2*b*c*m*n^3*x*x^m*x^(2*n)*e^m + 642*A*a*b^2*c*m*n^3*x*x^m*x^(2*n)*e^m + 214*B*a^3*d*m*n^3*x*x^m*x^(2*n)*e^m + 642*A*a^2*b*d*m*n^3*x*x^m*x^(2*n)*e^m + 180*B*a^2*b*c*n^4*x*x^m*x^(2*n)*e^m + 180*A*a*b^2*c*n^4*x*x^m*x^(2*n)*e^m + 60*B*a^3*d*n^4*x*x^m*x^(2*n)*e^m + 180*A*a^2*b*d*n^4*x*x^m*x^(2*n)*e^m + 5*B*a^3*c*m^4*x*x^m*x^n*e^m + 15*A*a^2*b*c*m^4*x*x^m*x^n*e^m + 5*A*a^3*d*m^4*x*x^m*x^n*e^m + 56*B*a^3*c*m^3*n*x*x^m*x^n*e^m + 168*A*a^2*b*c*m^3*n*x*x^m*x^n*e^m + 56*A*a^3*d*m^3*n*x*x^m*x^n*e^m + 213*B*a^3*c*m^2*n^2*x*x^m*x^n*e^m + 639*A*a^2*b*c*m^2*n^2*x*x^m*x^n*e^m + 213*A*a^3*d*m^2*n^2*x*x^m*x^n*e^m + 308*B*a^3*c*m*n^3*x*x^m*x^n*e^m + 924*A*a^2*b*c*m*n^3*x*x^m*x^n*e^m + 308*A*a^3*d*m*n^3*x*x^m*x^n*e^m + 120*B*a^3*c*n^4*x*x^m*x^n*e^m + 360*A*a^2*b*c*n^4*x*x^m*x^n*e^m + 120*A*a^3*d*n^4*x*x^m*x^n*e^m + 5*A*a^3*c*m^4*x*x^m*e^m + 60*A*a^3*c*m^3*n*x*x^m*e^m + 255*A*a^3*c*m^2*n^2*x*x^m*e^m + 450*A*a^3*c*m*n^3*x*x^m*e^m + 274*A*a^3*c*n^4*x*x^m*e^m + 10*B*b^3*d*m^3*x*x^m*x^(5*n)*e^m + 60*B*b^3*d*m^2*n*x*x^m*x^(5*n)*e^m + 105*B*b^3*d*m*n^2*x*x^m*x^(5*n)*e^m + 50*B*b^3*d*n^3*x*x^m*x^(5*n)*e^m + 10*B*b^3*c*m^3*x*x^m*x^(4*n)*e^m + 30*B*a*b^2*d*m^3*x*x^m*x^(4*n)*e^m + 10*A*b^3*d*m^3*x*x^m*x^(4*n)*e^m + 66*B*b^3*c*m^2*n*x*x^m*x^(4*n)*e^m + 198*B*a*b^2*d*m^2*n*x*x^m*x^(4*n)*e^m + 66*A*b^3*d*m^2*n*x*x^m*x^(4*n)*e^m + 123*B*b^3*c*m*n^2*x*x^m*x^(4*n)*e^m + 369*B*a*b^2*d*m*n^2*x*x^m*x^(4*n)*e^m + 123*A*b^3*d*m*n^2*x*x^m*x^(4*n)*e^m + 61*B*b^3*c*n^3*x*x^m*x^(4*n)*e^m + 183*B*a*b^2*d*n^3*x*x^m*x^(4*n)*e^m + 61*A*b^3*d*n^3*x*x^m*x^(4*n)*e^m + 30*B*a*b^2*c*m^3*x*x^m*x^(3*n)*e^m + 10*A*b^3*c*m^3*x*x^m*x^(3*n)*e^m + 30*B*a^2*b*d*m^3*x*x^m*x^(3*n)*e^m + 30*A*a*b^2*d*m^3*x*x^m*x^(3*n)*e^m + 216*B*a*b^2*c*m^2*n*x*x^m*x^(3*n)*e^m + 72*A*b^3*c*m^2*n*x*x^m*x^(3*n)*e^m + 216*B*a^2*b*d*m^2*n*x*x^m*x^(3*n)*e^m + 216*A*a*b^2*d*m^2*n*x*x^m*x^(3*n)*e^m + 441*B*a*b^2*c*m*n^2*x*x^m*x^(3*n)*e^m + 147*A*b^3*c*m*n^2*x*x^m*x^(3*n)*e^m + 441*B*a^2*b*d*m*n^2*x*x^m*x^(3*n)*e^m + 441*A*a*b^2*d*m*n^2*x*x^m*x^(3*n)*e^m + 234*B*a*b^2*c*n^3*x*x^m*x^(3*n)*e^m + 78*A*b^3*c*n^3*x*x^m*x^(3*n)*e^m + 234*B*a^2*b*d*n^3*x*x^m*x^(3*n)*e^m + 234*A*a*b^2*d*n^3*x*x^m*x^(3*n)*e^m + 30*B*a^2*b*c*m^3*x*x^m*x^(2*n)*e^m + 30*A*a*b^2*c*m^3*x*x^m*x^(2*n)*e^m + 10*B*a^3*d*m^3*x*x^m*x^(2*n)*e^m + 30*A*a^2*b*d*m^3*x*x^m*x^(2*n)*e^m + 234*B*a^2*b*c*m^2*n*x*x^m*x^(2*n)*e^m + 234*A*a*b^2*c*m^2*n*x*x^m*x^(2*n)*e^m + 78*B*a^3*d*m^2*n*x*x^m*x^(2*n)*e^m + 234*A*a^2*b*d*m^2*n*x*x^m*x^(2*n)*e^m + 531*B*a^2*b*c*m*n^2*x*x^m*x^(2*n)*e^m + 531*A*a*b^2*c*m*n^2*x*x^m*x^(2*n)*e^m + 177*B*a^3*d*m*n^2*x*x^m*x^(2*n)*e^m + 531*A*a^2*b*d*m*n^2*x*x^m*x^(2*n)*e^m + 321*B*a^2*b*c*n^3*x*x^m*x^(2*n)*e^m + 321*A*a*b^2*c*n^3*x*x^m*x^(2*n)*e^m + 107*B*a^3*d*n^3*x*x^m*x^(2*n)*e^m + 321*A*a^2*b*d*n^3*x*x^m*x^(2*n)*e^m + 10*B*a^3*c*m^3*x*x^m*x^n*e^m + 30*A*a^2*b*c*m^3*x*x^m*x^n*e^m + 10*A*a^3*d*m^3*x*x^m*x^n*e^m + 84*B*a^3*c*m^2*n*x*x^m*x^n*e^m + 252*A*a^2*b*c*m^2*n*x*x^m*x^n*e^m + 84*A*a^3*d*m^2*n*x*x^m*x^n*e^m + 213*B*a^3*c*m*n^2*x*x^m*x^n*e^m + 639*A*a^2*b*c*m*n^2*x*x^m*x^n*e^m + 213*A*a^3*d*m*n^2*x*x^m*x^n*e^m + 154*B*a^3*c*n^3*x*x^m*x^n*e^m + 462*A*a^2*b*c*n^3*x*x^m*x^n*e^m + 154*A*a^3*d*n^3*x*x^m*x^n*e^m + 10*A*a^3*c*m^3*x*x^m*e^m + 90*A*a^3*c*m^2*n*x*x^m*e^m + 255*A*a^3*c*m*n^2*x*x^m*e^m + 225*A*a^3*c*n^3*x*x^m*e^m + 10*B*b^3*d*m^2*x*x^m*x^(5*n)*e^m + 40*B*b^3*d*m*n*x*x^m*x^(5*n)*e^m + 35*B*b^3*d*n^2*x*x^m*x^(5*n)*e^m + 10*B*b^3*c*m^2*x*x^m*x^(4*n)*e^m + 30*B*a*b^2*d*m^2*x*x^m*x^(4*n)*e^m + 10*A*b^3*d*m^2*x*x^m*x^(4*n)*e^m + 44*B*b^3*c*m*n*x*x^m*x^(4*n)*e^m + 132*B*a*b^2*d*m*n*x*x^m*x^(4*n)*e^m + 44*A*b^3*d*m*n*x*x^m*x^(4*n)*e^m + 41*B*b^3*c*n^2*x*x^m*x^(4*n)*e^m + 123*B*a*b^2*d*n^2*x*x^m*x^(4*n)*e^m + 41*A*b^3*d*n^2*x*x^m*x^(4*n)*e^m + 30*B*a*b^2*c*m^2*x*x^m*x^(3*n)*e^m + 10*A*b^3*c*m^2*x*x^m*x^(3*n)*e^m + 30*B*a^2*b*d*m^2*x*x^m*x^(3*n)*e^m + 30*A*a*b^2*d*m^2*x*x^m*x^(3*n)*e^m + 144*B*a*b^2*c*m*n*x*x^m*x^(3*n)*e^m + 48*A*b^3*c*m*n*x*x^m*x^(3*n)*e^m + 144*B*a^2*b*d*m*n*x*x^m*x^(3*n)*e^m + 144*A*a*b^2*d*m*n*x*x^m*x^(3*n)*e^m + 147*B*a*b^2*c*n^2*x*x^m*x^(3*n)*e^m + 49*A*b^3*c*n^2*x*x^m*x^(3*n)*e^m + 147*B*a^2*b*d*n^2*x*x^m*x^(3*n)*e^m + 147*A*a*b^2*d*n^2*x*x^m*x^(3*n)*e^m + 30*B*a^2*b*c*m^2*x*x^m*x^(2*n)*e^m + 30*A*a*b^2*c*m^2*x*x^m*x^(2*n)*e^m + 10*B*a^3*d*m^2*x*x^m*x^(2*n)*e^m + 30*A*a^2*b*d*m^2*x*x^m*x^(2*n)*e^m + 156*B*a^2*b*c*m*n*x*x^m*x^(2*n)*e^m + 156*A*a*b^2*c*m*n*x*x^m*x^(2*n)*e^m + 52*B*a^3*d*m*n*x*x^m*x^(2*n)*e^m + 156*A*a^2*b*d*m*n*x*x^m*x^(2*n)*e^m + 177*B*a^2*b*c*n^2*x*x^m*x^(2*n)*e^m + 177*A*a*b^2*c*n^2*x*x^m*x^(2*n)*e^m + 59*B*a^3*d*n^2*x*x^m*x^(2*n)*e^m + 177*A*a^2*b*d*n^2*x*x^m*x^(2*n)*e^m + 10*B*a^3*c*m^2*x*x^m*x^n*e^m + 30*A*a^2*b*c*m^2*x*x^m*x^n*e^m + 10*A*a^3*d*m^2*x*x^m*x^n*e^m + 56*B*a^3*c*m*n*x*x^m*x^n*e^m + 168*A*a^2*b*c*m*n*x*x^m*x^n*e^m + 56*A*a^3*d*m*n*x*x^m*x^n*e^m + 71*B*a^3*c*n^2*x*x^m*x^n*e^m + 213*A*a^2*b*c*n^2*x*x^m*x^n*e^m + 71*A*a^3*d*n^2*x*x^m*x^n*e^m + 10*A*a^3*c*m^2*x*x^m*e^m + 60*A*a^3*c*m*n*x*x^m*e^m + 85*A*a^3*c*n^2*x*x^m*e^m + 5*B*b^3*d*m*x*x^m*x^(5*n)*e^m + 10*B*b^3*d*n*x*x^m*x^(5*n)*e^m + 5*B*b^3*c*m*x*x^m*x^(4*n)*e^m + 15*B*a*b^2*d*m*x*x^m*x^(4*n)*e^m + 5*A*b^3*d*m*x*x^m*x^(4*n)*e^m + 11*B*b^3*c*n*x*x^m*x^(4*n)*e^m + 33*B*a*b^2*d*n*x*x^m*x^(4*n)*e^m + 11*A*b^3*d*n*x*x^m*x^(4*n)*e^m + 15*B*a*b^2*c*m*x*x^m*x^(3*n)*e^m + 5*A*b^3*c*m*x*x^m*x^(3*n)*e^m + 15*B*a^2*b*d*m*x*x^m*x^(3*n)*e^m + 15*A*a*b^2*d*m*x*x^m*x^(3*n)*e^m + 36*B*a*b^2*c*n*x*x^m*x^(3*n)*e^m + 12*A*b^3*c*n*x*x^m*x^(3*n)*e^m + 36*B*a^2*b*d*n*x*x^m*x^(3*n)*e^m + 36*A*a*b^2*d*n*x*x^m*x^(3*n)*e^m + 15*B*a^2*b*c*m*x*x^m*x^(2*n)*e^m + 15*A*a*b^2*c*m*x*x^m*x^(2*n)*e^m + 5*B*a^3*d*m*x*x^m*x^(2*n)*e^m + 15*A*a^2*b*d*m*x*x^m*x^(2*n)*e^m + 39*B*a^2*b*c*n*x*x^m*x^(2*n)*e^m + 39*A*a*b^2*c*n*x*x^m*x^(2*n)*e^m + 13*B*a^3*d*n*x*x^m*x^(2*n)*e^m + 39*A*a^2*b*d*n*x*x^m*x^(2*n)*e^m + 5*B*a^3*c*m*x*x^m*x^n*e^m + 15*A*a^2*b*c*m*x*x^m*x^n*e^m + 5*A*a^3*d*m*x*x^m*x^n*e^m + 14*B*a^3*c*n*x*x^m*x^n*e^m + 42*A*a^2*b*c*n*x*x^m*x^n*e^m + 14*A*a^3*d*n*x*x^m*x^n*e^m + 5*A*a^3*c*m*x*x^m*e^m + 15*A*a^3*c*n*x*x^m*e^m + B*b^3*d*x*x^m*x^(5*n)*e^m + B*b^3*c*x*x^m*x^(4*n)*e^m + 3*B*a*b^2*d*x*x^m*x^(4*n)*e^m + A*b^3*d*x*x^m*x^(4*n)*e^m + 3*B*a*b^2*c*x*x^m*x^(3*n)*e^m + A*b^3*c*x*x^m*x^(3*n)*e^m + 3*B*a^2*b*d*x*x^m*x^(3*n)*e^m + 3*A*a*b^2*d*x*x^m*x^(3*n)*e^m + 3*B*a^2*b*c*x*x^m*x^(2*n)*e^m + 3*A*a*b^2*c*x*x^m*x^(2*n)*e^m + B*a^3*d*x*x^m*x^(2*n)*e^m + 3*A*a^2*b*d*x*x^m*x^(2*n)*e^m + B*a^3*c*x*x^m*x^n*e^m + 3*A*a^2*b*c*x*x^m*x^n*e^m + A*a^3*d*x*x^m*x^n*e^m + A*a^3*c*x*x^m*e^m)/(m^6 + 15*m^5*n + 85*m^4*n^2 + 225*m^3*n^3 + 274*m^2*n^4 + 120*m*n^5 + 6*m^5 + 75*m^4*n + 340*m^3*n^2 + 675*m^2*n^3 + 548*m*n^4 + 120*n^5 + 15*m^4 + 150*m^3*n + 510*m^2*n^2 + 675*m*n^3 + 274*n^4 + 20*m^3 + 150*m^2*n + 340*m*n^2 + 225*n^3 + 15*m^2 + 75*m*n + 85*n^2 + 6*m + 15*n + 1)","B",0
2,1,3415,0,0.809455," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)*(c+d*x^n),x, algorithm=""giac"")","\frac{B b^{2} d m^{4} x x^{m} x^{4 \, n} e^{m} + 6 \, B b^{2} d m^{3} n x x^{m} x^{4 \, n} e^{m} + 11 \, B b^{2} d m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 6 \, B b^{2} d m n^{3} x x^{m} x^{4 \, n} e^{m} + B b^{2} c m^{4} x x^{m} x^{3 \, n} e^{m} + 2 \, B a b d m^{4} x x^{m} x^{3 \, n} e^{m} + A b^{2} d m^{4} x x^{m} x^{3 \, n} e^{m} + 7 \, B b^{2} c m^{3} n x x^{m} x^{3 \, n} e^{m} + 14 \, B a b d m^{3} n x x^{m} x^{3 \, n} e^{m} + 7 \, A b^{2} d m^{3} n x x^{m} x^{3 \, n} e^{m} + 14 \, B b^{2} c m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 28 \, B a b d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 14 \, A b^{2} d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 8 \, B b^{2} c m n^{3} x x^{m} x^{3 \, n} e^{m} + 16 \, B a b d m n^{3} x x^{m} x^{3 \, n} e^{m} + 8 \, A b^{2} d m n^{3} x x^{m} x^{3 \, n} e^{m} + 2 \, B a b c m^{4} x x^{m} x^{2 \, n} e^{m} + A b^{2} c m^{4} x x^{m} x^{2 \, n} e^{m} + B a^{2} d m^{4} x x^{m} x^{2 \, n} e^{m} + 2 \, A a b d m^{4} x x^{m} x^{2 \, n} e^{m} + 16 \, B a b c m^{3} n x x^{m} x^{2 \, n} e^{m} + 8 \, A b^{2} c m^{3} n x x^{m} x^{2 \, n} e^{m} + 8 \, B a^{2} d m^{3} n x x^{m} x^{2 \, n} e^{m} + 16 \, A a b d m^{3} n x x^{m} x^{2 \, n} e^{m} + 38 \, B a b c m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 19 \, A b^{2} c m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 19 \, B a^{2} d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 38 \, A a b d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 24 \, B a b c m n^{3} x x^{m} x^{2 \, n} e^{m} + 12 \, A b^{2} c m n^{3} x x^{m} x^{2 \, n} e^{m} + 12 \, B a^{2} d m n^{3} x x^{m} x^{2 \, n} e^{m} + 24 \, A a b d m n^{3} x x^{m} x^{2 \, n} e^{m} + B a^{2} c m^{4} x x^{m} x^{n} e^{m} + 2 \, A a b c m^{4} x x^{m} x^{n} e^{m} + A a^{2} d m^{4} x x^{m} x^{n} e^{m} + 9 \, B a^{2} c m^{3} n x x^{m} x^{n} e^{m} + 18 \, A a b c m^{3} n x x^{m} x^{n} e^{m} + 9 \, A a^{2} d m^{3} n x x^{m} x^{n} e^{m} + 26 \, B a^{2} c m^{2} n^{2} x x^{m} x^{n} e^{m} + 52 \, A a b c m^{2} n^{2} x x^{m} x^{n} e^{m} + 26 \, A a^{2} d m^{2} n^{2} x x^{m} x^{n} e^{m} + 24 \, B a^{2} c m n^{3} x x^{m} x^{n} e^{m} + 48 \, A a b c m n^{3} x x^{m} x^{n} e^{m} + 24 \, A a^{2} d m n^{3} x x^{m} x^{n} e^{m} + A a^{2} c m^{4} x x^{m} e^{m} + 10 \, A a^{2} c m^{3} n x x^{m} e^{m} + 35 \, A a^{2} c m^{2} n^{2} x x^{m} e^{m} + 50 \, A a^{2} c m n^{3} x x^{m} e^{m} + 24 \, A a^{2} c n^{4} x x^{m} e^{m} + 4 \, B b^{2} d m^{3} x x^{m} x^{4 \, n} e^{m} + 18 \, B b^{2} d m^{2} n x x^{m} x^{4 \, n} e^{m} + 22 \, B b^{2} d m n^{2} x x^{m} x^{4 \, n} e^{m} + 6 \, B b^{2} d n^{3} x x^{m} x^{4 \, n} e^{m} + 4 \, B b^{2} c m^{3} x x^{m} x^{3 \, n} e^{m} + 8 \, B a b d m^{3} x x^{m} x^{3 \, n} e^{m} + 4 \, A b^{2} d m^{3} x x^{m} x^{3 \, n} e^{m} + 21 \, B b^{2} c m^{2} n x x^{m} x^{3 \, n} e^{m} + 42 \, B a b d m^{2} n x x^{m} x^{3 \, n} e^{m} + 21 \, A b^{2} d m^{2} n x x^{m} x^{3 \, n} e^{m} + 28 \, B b^{2} c m n^{2} x x^{m} x^{3 \, n} e^{m} + 56 \, B a b d m n^{2} x x^{m} x^{3 \, n} e^{m} + 28 \, A b^{2} d m n^{2} x x^{m} x^{3 \, n} e^{m} + 8 \, B b^{2} c n^{3} x x^{m} x^{3 \, n} e^{m} + 16 \, B a b d n^{3} x x^{m} x^{3 \, n} e^{m} + 8 \, A b^{2} d n^{3} x x^{m} x^{3 \, n} e^{m} + 8 \, B a b c m^{3} x x^{m} x^{2 \, n} e^{m} + 4 \, A b^{2} c m^{3} x x^{m} x^{2 \, n} e^{m} + 4 \, B a^{2} d m^{3} x x^{m} x^{2 \, n} e^{m} + 8 \, A a b d m^{3} x x^{m} x^{2 \, n} e^{m} + 48 \, B a b c m^{2} n x x^{m} x^{2 \, n} e^{m} + 24 \, A b^{2} c m^{2} n x x^{m} x^{2 \, n} e^{m} + 24 \, B a^{2} d m^{2} n x x^{m} x^{2 \, n} e^{m} + 48 \, A a b d m^{2} n x x^{m} x^{2 \, n} e^{m} + 76 \, B a b c m n^{2} x x^{m} x^{2 \, n} e^{m} + 38 \, A b^{2} c m n^{2} x x^{m} x^{2 \, n} e^{m} + 38 \, B a^{2} d m n^{2} x x^{m} x^{2 \, n} e^{m} + 76 \, A a b d m n^{2} x x^{m} x^{2 \, n} e^{m} + 24 \, B a b c n^{3} x x^{m} x^{2 \, n} e^{m} + 12 \, A b^{2} c n^{3} x x^{m} x^{2 \, n} e^{m} + 12 \, B a^{2} d n^{3} x x^{m} x^{2 \, n} e^{m} + 24 \, A a b d n^{3} x x^{m} x^{2 \, n} e^{m} + 4 \, B a^{2} c m^{3} x x^{m} x^{n} e^{m} + 8 \, A a b c m^{3} x x^{m} x^{n} e^{m} + 4 \, A a^{2} d m^{3} x x^{m} x^{n} e^{m} + 27 \, B a^{2} c m^{2} n x x^{m} x^{n} e^{m} + 54 \, A a b c m^{2} n x x^{m} x^{n} e^{m} + 27 \, A a^{2} d m^{2} n x x^{m} x^{n} e^{m} + 52 \, B a^{2} c m n^{2} x x^{m} x^{n} e^{m} + 104 \, A a b c m n^{2} x x^{m} x^{n} e^{m} + 52 \, A a^{2} d m n^{2} x x^{m} x^{n} e^{m} + 24 \, B a^{2} c n^{3} x x^{m} x^{n} e^{m} + 48 \, A a b c n^{3} x x^{m} x^{n} e^{m} + 24 \, A a^{2} d n^{3} x x^{m} x^{n} e^{m} + 4 \, A a^{2} c m^{3} x x^{m} e^{m} + 30 \, A a^{2} c m^{2} n x x^{m} e^{m} + 70 \, A a^{2} c m n^{2} x x^{m} e^{m} + 50 \, A a^{2} c n^{3} x x^{m} e^{m} + 6 \, B b^{2} d m^{2} x x^{m} x^{4 \, n} e^{m} + 18 \, B b^{2} d m n x x^{m} x^{4 \, n} e^{m} + 11 \, B b^{2} d n^{2} x x^{m} x^{4 \, n} e^{m} + 6 \, B b^{2} c m^{2} x x^{m} x^{3 \, n} e^{m} + 12 \, B a b d m^{2} x x^{m} x^{3 \, n} e^{m} + 6 \, A b^{2} d m^{2} x x^{m} x^{3 \, n} e^{m} + 21 \, B b^{2} c m n x x^{m} x^{3 \, n} e^{m} + 42 \, B a b d m n x x^{m} x^{3 \, n} e^{m} + 21 \, A b^{2} d m n x x^{m} x^{3 \, n} e^{m} + 14 \, B b^{2} c n^{2} x x^{m} x^{3 \, n} e^{m} + 28 \, B a b d n^{2} x x^{m} x^{3 \, n} e^{m} + 14 \, A b^{2} d n^{2} x x^{m} x^{3 \, n} e^{m} + 12 \, B a b c m^{2} x x^{m} x^{2 \, n} e^{m} + 6 \, A b^{2} c m^{2} x x^{m} x^{2 \, n} e^{m} + 6 \, B a^{2} d m^{2} x x^{m} x^{2 \, n} e^{m} + 12 \, A a b d m^{2} x x^{m} x^{2 \, n} e^{m} + 48 \, B a b c m n x x^{m} x^{2 \, n} e^{m} + 24 \, A b^{2} c m n x x^{m} x^{2 \, n} e^{m} + 24 \, B a^{2} d m n x x^{m} x^{2 \, n} e^{m} + 48 \, A a b d m n x x^{m} x^{2 \, n} e^{m} + 38 \, B a b c n^{2} x x^{m} x^{2 \, n} e^{m} + 19 \, A b^{2} c n^{2} x x^{m} x^{2 \, n} e^{m} + 19 \, B a^{2} d n^{2} x x^{m} x^{2 \, n} e^{m} + 38 \, A a b d n^{2} x x^{m} x^{2 \, n} e^{m} + 6 \, B a^{2} c m^{2} x x^{m} x^{n} e^{m} + 12 \, A a b c m^{2} x x^{m} x^{n} e^{m} + 6 \, A a^{2} d m^{2} x x^{m} x^{n} e^{m} + 27 \, B a^{2} c m n x x^{m} x^{n} e^{m} + 54 \, A a b c m n x x^{m} x^{n} e^{m} + 27 \, A a^{2} d m n x x^{m} x^{n} e^{m} + 26 \, B a^{2} c n^{2} x x^{m} x^{n} e^{m} + 52 \, A a b c n^{2} x x^{m} x^{n} e^{m} + 26 \, A a^{2} d n^{2} x x^{m} x^{n} e^{m} + 6 \, A a^{2} c m^{2} x x^{m} e^{m} + 30 \, A a^{2} c m n x x^{m} e^{m} + 35 \, A a^{2} c n^{2} x x^{m} e^{m} + 4 \, B b^{2} d m x x^{m} x^{4 \, n} e^{m} + 6 \, B b^{2} d n x x^{m} x^{4 \, n} e^{m} + 4 \, B b^{2} c m x x^{m} x^{3 \, n} e^{m} + 8 \, B a b d m x x^{m} x^{3 \, n} e^{m} + 4 \, A b^{2} d m x x^{m} x^{3 \, n} e^{m} + 7 \, B b^{2} c n x x^{m} x^{3 \, n} e^{m} + 14 \, B a b d n x x^{m} x^{3 \, n} e^{m} + 7 \, A b^{2} d n x x^{m} x^{3 \, n} e^{m} + 8 \, B a b c m x x^{m} x^{2 \, n} e^{m} + 4 \, A b^{2} c m x x^{m} x^{2 \, n} e^{m} + 4 \, B a^{2} d m x x^{m} x^{2 \, n} e^{m} + 8 \, A a b d m x x^{m} x^{2 \, n} e^{m} + 16 \, B a b c n x x^{m} x^{2 \, n} e^{m} + 8 \, A b^{2} c n x x^{m} x^{2 \, n} e^{m} + 8 \, B a^{2} d n x x^{m} x^{2 \, n} e^{m} + 16 \, A a b d n x x^{m} x^{2 \, n} e^{m} + 4 \, B a^{2} c m x x^{m} x^{n} e^{m} + 8 \, A a b c m x x^{m} x^{n} e^{m} + 4 \, A a^{2} d m x x^{m} x^{n} e^{m} + 9 \, B a^{2} c n x x^{m} x^{n} e^{m} + 18 \, A a b c n x x^{m} x^{n} e^{m} + 9 \, A a^{2} d n x x^{m} x^{n} e^{m} + 4 \, A a^{2} c m x x^{m} e^{m} + 10 \, A a^{2} c n x x^{m} e^{m} + B b^{2} d x x^{m} x^{4 \, n} e^{m} + B b^{2} c x x^{m} x^{3 \, n} e^{m} + 2 \, B a b d x x^{m} x^{3 \, n} e^{m} + A b^{2} d x x^{m} x^{3 \, n} e^{m} + 2 \, B a b c x x^{m} x^{2 \, n} e^{m} + A b^{2} c x x^{m} x^{2 \, n} e^{m} + B a^{2} d x x^{m} x^{2 \, n} e^{m} + 2 \, A a b d x x^{m} x^{2 \, n} e^{m} + B a^{2} c x x^{m} x^{n} e^{m} + 2 \, A a b c x x^{m} x^{n} e^{m} + A a^{2} d x x^{m} x^{n} e^{m} + A a^{2} c x x^{m} e^{m}}{m^{5} + 10 \, m^{4} n + 35 \, m^{3} n^{2} + 50 \, m^{2} n^{3} + 24 \, m n^{4} + 5 \, m^{4} + 40 \, m^{3} n + 105 \, m^{2} n^{2} + 100 \, m n^{3} + 24 \, n^{4} + 10 \, m^{3} + 60 \, m^{2} n + 105 \, m n^{2} + 50 \, n^{3} + 10 \, m^{2} + 40 \, m n + 35 \, n^{2} + 5 \, m + 10 \, n + 1}"," ",0,"(B*b^2*d*m^4*x*x^m*x^(4*n)*e^m + 6*B*b^2*d*m^3*n*x*x^m*x^(4*n)*e^m + 11*B*b^2*d*m^2*n^2*x*x^m*x^(4*n)*e^m + 6*B*b^2*d*m*n^3*x*x^m*x^(4*n)*e^m + B*b^2*c*m^4*x*x^m*x^(3*n)*e^m + 2*B*a*b*d*m^4*x*x^m*x^(3*n)*e^m + A*b^2*d*m^4*x*x^m*x^(3*n)*e^m + 7*B*b^2*c*m^3*n*x*x^m*x^(3*n)*e^m + 14*B*a*b*d*m^3*n*x*x^m*x^(3*n)*e^m + 7*A*b^2*d*m^3*n*x*x^m*x^(3*n)*e^m + 14*B*b^2*c*m^2*n^2*x*x^m*x^(3*n)*e^m + 28*B*a*b*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 14*A*b^2*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 8*B*b^2*c*m*n^3*x*x^m*x^(3*n)*e^m + 16*B*a*b*d*m*n^3*x*x^m*x^(3*n)*e^m + 8*A*b^2*d*m*n^3*x*x^m*x^(3*n)*e^m + 2*B*a*b*c*m^4*x*x^m*x^(2*n)*e^m + A*b^2*c*m^4*x*x^m*x^(2*n)*e^m + B*a^2*d*m^4*x*x^m*x^(2*n)*e^m + 2*A*a*b*d*m^4*x*x^m*x^(2*n)*e^m + 16*B*a*b*c*m^3*n*x*x^m*x^(2*n)*e^m + 8*A*b^2*c*m^3*n*x*x^m*x^(2*n)*e^m + 8*B*a^2*d*m^3*n*x*x^m*x^(2*n)*e^m + 16*A*a*b*d*m^3*n*x*x^m*x^(2*n)*e^m + 38*B*a*b*c*m^2*n^2*x*x^m*x^(2*n)*e^m + 19*A*b^2*c*m^2*n^2*x*x^m*x^(2*n)*e^m + 19*B*a^2*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 38*A*a*b*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 24*B*a*b*c*m*n^3*x*x^m*x^(2*n)*e^m + 12*A*b^2*c*m*n^3*x*x^m*x^(2*n)*e^m + 12*B*a^2*d*m*n^3*x*x^m*x^(2*n)*e^m + 24*A*a*b*d*m*n^3*x*x^m*x^(2*n)*e^m + B*a^2*c*m^4*x*x^m*x^n*e^m + 2*A*a*b*c*m^4*x*x^m*x^n*e^m + A*a^2*d*m^4*x*x^m*x^n*e^m + 9*B*a^2*c*m^3*n*x*x^m*x^n*e^m + 18*A*a*b*c*m^3*n*x*x^m*x^n*e^m + 9*A*a^2*d*m^3*n*x*x^m*x^n*e^m + 26*B*a^2*c*m^2*n^2*x*x^m*x^n*e^m + 52*A*a*b*c*m^2*n^2*x*x^m*x^n*e^m + 26*A*a^2*d*m^2*n^2*x*x^m*x^n*e^m + 24*B*a^2*c*m*n^3*x*x^m*x^n*e^m + 48*A*a*b*c*m*n^3*x*x^m*x^n*e^m + 24*A*a^2*d*m*n^3*x*x^m*x^n*e^m + A*a^2*c*m^4*x*x^m*e^m + 10*A*a^2*c*m^3*n*x*x^m*e^m + 35*A*a^2*c*m^2*n^2*x*x^m*e^m + 50*A*a^2*c*m*n^3*x*x^m*e^m + 24*A*a^2*c*n^4*x*x^m*e^m + 4*B*b^2*d*m^3*x*x^m*x^(4*n)*e^m + 18*B*b^2*d*m^2*n*x*x^m*x^(4*n)*e^m + 22*B*b^2*d*m*n^2*x*x^m*x^(4*n)*e^m + 6*B*b^2*d*n^3*x*x^m*x^(4*n)*e^m + 4*B*b^2*c*m^3*x*x^m*x^(3*n)*e^m + 8*B*a*b*d*m^3*x*x^m*x^(3*n)*e^m + 4*A*b^2*d*m^3*x*x^m*x^(3*n)*e^m + 21*B*b^2*c*m^2*n*x*x^m*x^(3*n)*e^m + 42*B*a*b*d*m^2*n*x*x^m*x^(3*n)*e^m + 21*A*b^2*d*m^2*n*x*x^m*x^(3*n)*e^m + 28*B*b^2*c*m*n^2*x*x^m*x^(3*n)*e^m + 56*B*a*b*d*m*n^2*x*x^m*x^(3*n)*e^m + 28*A*b^2*d*m*n^2*x*x^m*x^(3*n)*e^m + 8*B*b^2*c*n^3*x*x^m*x^(3*n)*e^m + 16*B*a*b*d*n^3*x*x^m*x^(3*n)*e^m + 8*A*b^2*d*n^3*x*x^m*x^(3*n)*e^m + 8*B*a*b*c*m^3*x*x^m*x^(2*n)*e^m + 4*A*b^2*c*m^3*x*x^m*x^(2*n)*e^m + 4*B*a^2*d*m^3*x*x^m*x^(2*n)*e^m + 8*A*a*b*d*m^3*x*x^m*x^(2*n)*e^m + 48*B*a*b*c*m^2*n*x*x^m*x^(2*n)*e^m + 24*A*b^2*c*m^2*n*x*x^m*x^(2*n)*e^m + 24*B*a^2*d*m^2*n*x*x^m*x^(2*n)*e^m + 48*A*a*b*d*m^2*n*x*x^m*x^(2*n)*e^m + 76*B*a*b*c*m*n^2*x*x^m*x^(2*n)*e^m + 38*A*b^2*c*m*n^2*x*x^m*x^(2*n)*e^m + 38*B*a^2*d*m*n^2*x*x^m*x^(2*n)*e^m + 76*A*a*b*d*m*n^2*x*x^m*x^(2*n)*e^m + 24*B*a*b*c*n^3*x*x^m*x^(2*n)*e^m + 12*A*b^2*c*n^3*x*x^m*x^(2*n)*e^m + 12*B*a^2*d*n^3*x*x^m*x^(2*n)*e^m + 24*A*a*b*d*n^3*x*x^m*x^(2*n)*e^m + 4*B*a^2*c*m^3*x*x^m*x^n*e^m + 8*A*a*b*c*m^3*x*x^m*x^n*e^m + 4*A*a^2*d*m^3*x*x^m*x^n*e^m + 27*B*a^2*c*m^2*n*x*x^m*x^n*e^m + 54*A*a*b*c*m^2*n*x*x^m*x^n*e^m + 27*A*a^2*d*m^2*n*x*x^m*x^n*e^m + 52*B*a^2*c*m*n^2*x*x^m*x^n*e^m + 104*A*a*b*c*m*n^2*x*x^m*x^n*e^m + 52*A*a^2*d*m*n^2*x*x^m*x^n*e^m + 24*B*a^2*c*n^3*x*x^m*x^n*e^m + 48*A*a*b*c*n^3*x*x^m*x^n*e^m + 24*A*a^2*d*n^3*x*x^m*x^n*e^m + 4*A*a^2*c*m^3*x*x^m*e^m + 30*A*a^2*c*m^2*n*x*x^m*e^m + 70*A*a^2*c*m*n^2*x*x^m*e^m + 50*A*a^2*c*n^3*x*x^m*e^m + 6*B*b^2*d*m^2*x*x^m*x^(4*n)*e^m + 18*B*b^2*d*m*n*x*x^m*x^(4*n)*e^m + 11*B*b^2*d*n^2*x*x^m*x^(4*n)*e^m + 6*B*b^2*c*m^2*x*x^m*x^(3*n)*e^m + 12*B*a*b*d*m^2*x*x^m*x^(3*n)*e^m + 6*A*b^2*d*m^2*x*x^m*x^(3*n)*e^m + 21*B*b^2*c*m*n*x*x^m*x^(3*n)*e^m + 42*B*a*b*d*m*n*x*x^m*x^(3*n)*e^m + 21*A*b^2*d*m*n*x*x^m*x^(3*n)*e^m + 14*B*b^2*c*n^2*x*x^m*x^(3*n)*e^m + 28*B*a*b*d*n^2*x*x^m*x^(3*n)*e^m + 14*A*b^2*d*n^2*x*x^m*x^(3*n)*e^m + 12*B*a*b*c*m^2*x*x^m*x^(2*n)*e^m + 6*A*b^2*c*m^2*x*x^m*x^(2*n)*e^m + 6*B*a^2*d*m^2*x*x^m*x^(2*n)*e^m + 12*A*a*b*d*m^2*x*x^m*x^(2*n)*e^m + 48*B*a*b*c*m*n*x*x^m*x^(2*n)*e^m + 24*A*b^2*c*m*n*x*x^m*x^(2*n)*e^m + 24*B*a^2*d*m*n*x*x^m*x^(2*n)*e^m + 48*A*a*b*d*m*n*x*x^m*x^(2*n)*e^m + 38*B*a*b*c*n^2*x*x^m*x^(2*n)*e^m + 19*A*b^2*c*n^2*x*x^m*x^(2*n)*e^m + 19*B*a^2*d*n^2*x*x^m*x^(2*n)*e^m + 38*A*a*b*d*n^2*x*x^m*x^(2*n)*e^m + 6*B*a^2*c*m^2*x*x^m*x^n*e^m + 12*A*a*b*c*m^2*x*x^m*x^n*e^m + 6*A*a^2*d*m^2*x*x^m*x^n*e^m + 27*B*a^2*c*m*n*x*x^m*x^n*e^m + 54*A*a*b*c*m*n*x*x^m*x^n*e^m + 27*A*a^2*d*m*n*x*x^m*x^n*e^m + 26*B*a^2*c*n^2*x*x^m*x^n*e^m + 52*A*a*b*c*n^2*x*x^m*x^n*e^m + 26*A*a^2*d*n^2*x*x^m*x^n*e^m + 6*A*a^2*c*m^2*x*x^m*e^m + 30*A*a^2*c*m*n*x*x^m*e^m + 35*A*a^2*c*n^2*x*x^m*e^m + 4*B*b^2*d*m*x*x^m*x^(4*n)*e^m + 6*B*b^2*d*n*x*x^m*x^(4*n)*e^m + 4*B*b^2*c*m*x*x^m*x^(3*n)*e^m + 8*B*a*b*d*m*x*x^m*x^(3*n)*e^m + 4*A*b^2*d*m*x*x^m*x^(3*n)*e^m + 7*B*b^2*c*n*x*x^m*x^(3*n)*e^m + 14*B*a*b*d*n*x*x^m*x^(3*n)*e^m + 7*A*b^2*d*n*x*x^m*x^(3*n)*e^m + 8*B*a*b*c*m*x*x^m*x^(2*n)*e^m + 4*A*b^2*c*m*x*x^m*x^(2*n)*e^m + 4*B*a^2*d*m*x*x^m*x^(2*n)*e^m + 8*A*a*b*d*m*x*x^m*x^(2*n)*e^m + 16*B*a*b*c*n*x*x^m*x^(2*n)*e^m + 8*A*b^2*c*n*x*x^m*x^(2*n)*e^m + 8*B*a^2*d*n*x*x^m*x^(2*n)*e^m + 16*A*a*b*d*n*x*x^m*x^(2*n)*e^m + 4*B*a^2*c*m*x*x^m*x^n*e^m + 8*A*a*b*c*m*x*x^m*x^n*e^m + 4*A*a^2*d*m*x*x^m*x^n*e^m + 9*B*a^2*c*n*x*x^m*x^n*e^m + 18*A*a*b*c*n*x*x^m*x^n*e^m + 9*A*a^2*d*n*x*x^m*x^n*e^m + 4*A*a^2*c*m*x*x^m*e^m + 10*A*a^2*c*n*x*x^m*e^m + B*b^2*d*x*x^m*x^(4*n)*e^m + B*b^2*c*x*x^m*x^(3*n)*e^m + 2*B*a*b*d*x*x^m*x^(3*n)*e^m + A*b^2*d*x*x^m*x^(3*n)*e^m + 2*B*a*b*c*x*x^m*x^(2*n)*e^m + A*b^2*c*x*x^m*x^(2*n)*e^m + B*a^2*d*x*x^m*x^(2*n)*e^m + 2*A*a*b*d*x*x^m*x^(2*n)*e^m + B*a^2*c*x*x^m*x^n*e^m + 2*A*a*b*c*x*x^m*x^n*e^m + A*a^2*d*x*x^m*x^n*e^m + A*a^2*c*x*x^m*e^m)/(m^5 + 10*m^4*n + 35*m^3*n^2 + 50*m^2*n^3 + 24*m*n^4 + 5*m^4 + 40*m^3*n + 105*m^2*n^2 + 100*m*n^3 + 24*n^4 + 10*m^3 + 60*m^2*n + 105*m*n^2 + 50*n^3 + 10*m^2 + 40*m*n + 35*n^2 + 5*m + 10*n + 1)","B",0
3,1,1290,0,1.796185," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)*(c+d*x^n),x, algorithm=""giac"")","\frac{B b d m^{3} x x^{m} x^{3 \, n} e^{m} + 3 \, B b d m^{2} n x x^{m} x^{3 \, n} e^{m} + 2 \, B b d m n^{2} x x^{m} x^{3 \, n} e^{m} + B b c m^{3} x x^{m} x^{2 \, n} e^{m} + B a d m^{3} x x^{m} x^{2 \, n} e^{m} + A b d m^{3} x x^{m} x^{2 \, n} e^{m} + 4 \, B b c m^{2} n x x^{m} x^{2 \, n} e^{m} + 4 \, B a d m^{2} n x x^{m} x^{2 \, n} e^{m} + 4 \, A b d m^{2} n x x^{m} x^{2 \, n} e^{m} + 3 \, B b c m n^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, B a d m n^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, A b d m n^{2} x x^{m} x^{2 \, n} e^{m} + B a c m^{3} x x^{m} x^{n} e^{m} + A b c m^{3} x x^{m} x^{n} e^{m} + A a d m^{3} x x^{m} x^{n} e^{m} + 5 \, B a c m^{2} n x x^{m} x^{n} e^{m} + 5 \, A b c m^{2} n x x^{m} x^{n} e^{m} + 5 \, A a d m^{2} n x x^{m} x^{n} e^{m} + 6 \, B a c m n^{2} x x^{m} x^{n} e^{m} + 6 \, A b c m n^{2} x x^{m} x^{n} e^{m} + 6 \, A a d m n^{2} x x^{m} x^{n} e^{m} + A a c m^{3} x x^{m} e^{m} + 6 \, A a c m^{2} n x x^{m} e^{m} + 11 \, A a c m n^{2} x x^{m} e^{m} + 6 \, A a c n^{3} x x^{m} e^{m} + 3 \, B b d m^{2} x x^{m} x^{3 \, n} e^{m} + 6 \, B b d m n x x^{m} x^{3 \, n} e^{m} + 2 \, B b d n^{2} x x^{m} x^{3 \, n} e^{m} + 3 \, B b c m^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, B a d m^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, A b d m^{2} x x^{m} x^{2 \, n} e^{m} + 8 \, B b c m n x x^{m} x^{2 \, n} e^{m} + 8 \, B a d m n x x^{m} x^{2 \, n} e^{m} + 8 \, A b d m n x x^{m} x^{2 \, n} e^{m} + 3 \, B b c n^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, B a d n^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, A b d n^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, B a c m^{2} x x^{m} x^{n} e^{m} + 3 \, A b c m^{2} x x^{m} x^{n} e^{m} + 3 \, A a d m^{2} x x^{m} x^{n} e^{m} + 10 \, B a c m n x x^{m} x^{n} e^{m} + 10 \, A b c m n x x^{m} x^{n} e^{m} + 10 \, A a d m n x x^{m} x^{n} e^{m} + 6 \, B a c n^{2} x x^{m} x^{n} e^{m} + 6 \, A b c n^{2} x x^{m} x^{n} e^{m} + 6 \, A a d n^{2} x x^{m} x^{n} e^{m} + 3 \, A a c m^{2} x x^{m} e^{m} + 12 \, A a c m n x x^{m} e^{m} + 11 \, A a c n^{2} x x^{m} e^{m} + 3 \, B b d m x x^{m} x^{3 \, n} e^{m} + 3 \, B b d n x x^{m} x^{3 \, n} e^{m} + 3 \, B b c m x x^{m} x^{2 \, n} e^{m} + 3 \, B a d m x x^{m} x^{2 \, n} e^{m} + 3 \, A b d m x x^{m} x^{2 \, n} e^{m} + 4 \, B b c n x x^{m} x^{2 \, n} e^{m} + 4 \, B a d n x x^{m} x^{2 \, n} e^{m} + 4 \, A b d n x x^{m} x^{2 \, n} e^{m} + 3 \, B a c m x x^{m} x^{n} e^{m} + 3 \, A b c m x x^{m} x^{n} e^{m} + 3 \, A a d m x x^{m} x^{n} e^{m} + 5 \, B a c n x x^{m} x^{n} e^{m} + 5 \, A b c n x x^{m} x^{n} e^{m} + 5 \, A a d n x x^{m} x^{n} e^{m} + 3 \, A a c m x x^{m} e^{m} + 6 \, A a c n x x^{m} e^{m} + B b d x x^{m} x^{3 \, n} e^{m} + B b c x x^{m} x^{2 \, n} e^{m} + B a d x x^{m} x^{2 \, n} e^{m} + A b d x x^{m} x^{2 \, n} e^{m} + B a c x x^{m} x^{n} e^{m} + A b c x x^{m} x^{n} e^{m} + A a d x x^{m} x^{n} e^{m} + A a c x x^{m} e^{m}}{m^{4} + 6 \, m^{3} n + 11 \, m^{2} n^{2} + 6 \, m n^{3} + 4 \, m^{3} + 18 \, m^{2} n + 22 \, m n^{2} + 6 \, n^{3} + 6 \, m^{2} + 18 \, m n + 11 \, n^{2} + 4 \, m + 6 \, n + 1}"," ",0,"(B*b*d*m^3*x*x^m*x^(3*n)*e^m + 3*B*b*d*m^2*n*x*x^m*x^(3*n)*e^m + 2*B*b*d*m*n^2*x*x^m*x^(3*n)*e^m + B*b*c*m^3*x*x^m*x^(2*n)*e^m + B*a*d*m^3*x*x^m*x^(2*n)*e^m + A*b*d*m^3*x*x^m*x^(2*n)*e^m + 4*B*b*c*m^2*n*x*x^m*x^(2*n)*e^m + 4*B*a*d*m^2*n*x*x^m*x^(2*n)*e^m + 4*A*b*d*m^2*n*x*x^m*x^(2*n)*e^m + 3*B*b*c*m*n^2*x*x^m*x^(2*n)*e^m + 3*B*a*d*m*n^2*x*x^m*x^(2*n)*e^m + 3*A*b*d*m*n^2*x*x^m*x^(2*n)*e^m + B*a*c*m^3*x*x^m*x^n*e^m + A*b*c*m^3*x*x^m*x^n*e^m + A*a*d*m^3*x*x^m*x^n*e^m + 5*B*a*c*m^2*n*x*x^m*x^n*e^m + 5*A*b*c*m^2*n*x*x^m*x^n*e^m + 5*A*a*d*m^2*n*x*x^m*x^n*e^m + 6*B*a*c*m*n^2*x*x^m*x^n*e^m + 6*A*b*c*m*n^2*x*x^m*x^n*e^m + 6*A*a*d*m*n^2*x*x^m*x^n*e^m + A*a*c*m^3*x*x^m*e^m + 6*A*a*c*m^2*n*x*x^m*e^m + 11*A*a*c*m*n^2*x*x^m*e^m + 6*A*a*c*n^3*x*x^m*e^m + 3*B*b*d*m^2*x*x^m*x^(3*n)*e^m + 6*B*b*d*m*n*x*x^m*x^(3*n)*e^m + 2*B*b*d*n^2*x*x^m*x^(3*n)*e^m + 3*B*b*c*m^2*x*x^m*x^(2*n)*e^m + 3*B*a*d*m^2*x*x^m*x^(2*n)*e^m + 3*A*b*d*m^2*x*x^m*x^(2*n)*e^m + 8*B*b*c*m*n*x*x^m*x^(2*n)*e^m + 8*B*a*d*m*n*x*x^m*x^(2*n)*e^m + 8*A*b*d*m*n*x*x^m*x^(2*n)*e^m + 3*B*b*c*n^2*x*x^m*x^(2*n)*e^m + 3*B*a*d*n^2*x*x^m*x^(2*n)*e^m + 3*A*b*d*n^2*x*x^m*x^(2*n)*e^m + 3*B*a*c*m^2*x*x^m*x^n*e^m + 3*A*b*c*m^2*x*x^m*x^n*e^m + 3*A*a*d*m^2*x*x^m*x^n*e^m + 10*B*a*c*m*n*x*x^m*x^n*e^m + 10*A*b*c*m*n*x*x^m*x^n*e^m + 10*A*a*d*m*n*x*x^m*x^n*e^m + 6*B*a*c*n^2*x*x^m*x^n*e^m + 6*A*b*c*n^2*x*x^m*x^n*e^m + 6*A*a*d*n^2*x*x^m*x^n*e^m + 3*A*a*c*m^2*x*x^m*e^m + 12*A*a*c*m*n*x*x^m*e^m + 11*A*a*c*n^2*x*x^m*e^m + 3*B*b*d*m*x*x^m*x^(3*n)*e^m + 3*B*b*d*n*x*x^m*x^(3*n)*e^m + 3*B*b*c*m*x*x^m*x^(2*n)*e^m + 3*B*a*d*m*x*x^m*x^(2*n)*e^m + 3*A*b*d*m*x*x^m*x^(2*n)*e^m + 4*B*b*c*n*x*x^m*x^(2*n)*e^m + 4*B*a*d*n*x*x^m*x^(2*n)*e^m + 4*A*b*d*n*x*x^m*x^(2*n)*e^m + 3*B*a*c*m*x*x^m*x^n*e^m + 3*A*b*c*m*x*x^m*x^n*e^m + 3*A*a*d*m*x*x^m*x^n*e^m + 5*B*a*c*n*x*x^m*x^n*e^m + 5*A*b*c*n*x*x^m*x^n*e^m + 5*A*a*d*n*x*x^m*x^n*e^m + 3*A*a*c*m*x*x^m*e^m + 6*A*a*c*n*x*x^m*e^m + B*b*d*x*x^m*x^(3*n)*e^m + B*b*c*x*x^m*x^(2*n)*e^m + B*a*d*x*x^m*x^(2*n)*e^m + A*b*d*x*x^m*x^(2*n)*e^m + B*a*c*x*x^m*x^n*e^m + A*b*c*x*x^m*x^n*e^m + A*a*d*x*x^m*x^n*e^m + A*a*c*x*x^m*e^m)/(m^4 + 6*m^3*n + 11*m^2*n^2 + 6*m*n^3 + 4*m^3 + 18*m^2*n + 22*m*n^2 + 6*n^3 + 6*m^2 + 18*m*n + 11*n^2 + 4*m + 6*n + 1)","B",0
4,1,327,0,0.454879," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n),x, algorithm=""giac"")","\frac{B d m^{2} x x^{m} x^{2 \, n} e^{m} + B d m n x x^{m} x^{2 \, n} e^{m} + B c m^{2} x x^{m} x^{n} e^{m} + A d m^{2} x x^{m} x^{n} e^{m} + 2 \, B c m n x x^{m} x^{n} e^{m} + 2 \, A d m n x x^{m} x^{n} e^{m} + A c m^{2} x x^{m} e^{m} + 3 \, A c m n x x^{m} e^{m} + 2 \, A c n^{2} x x^{m} e^{m} + 2 \, B d m x x^{m} x^{2 \, n} e^{m} + B d n x x^{m} x^{2 \, n} e^{m} + 2 \, B c m x x^{m} x^{n} e^{m} + 2 \, A d m x x^{m} x^{n} e^{m} + 2 \, B c n x x^{m} x^{n} e^{m} + 2 \, A d n x x^{m} x^{n} e^{m} + 2 \, A c m x x^{m} e^{m} + 3 \, A c n x x^{m} e^{m} + B d x x^{m} x^{2 \, n} e^{m} + B c x x^{m} x^{n} e^{m} + A d x x^{m} x^{n} e^{m} + A c x x^{m} e^{m}}{m^{3} + 3 \, m^{2} n + 2 \, m n^{2} + 3 \, m^{2} + 6 \, m n + 2 \, n^{2} + 3 \, m + 3 \, n + 1}"," ",0,"(B*d*m^2*x*x^m*x^(2*n)*e^m + B*d*m*n*x*x^m*x^(2*n)*e^m + B*c*m^2*x*x^m*x^n*e^m + A*d*m^2*x*x^m*x^n*e^m + 2*B*c*m*n*x*x^m*x^n*e^m + 2*A*d*m*n*x*x^m*x^n*e^m + A*c*m^2*x*x^m*e^m + 3*A*c*m*n*x*x^m*e^m + 2*A*c*n^2*x*x^m*e^m + 2*B*d*m*x*x^m*x^(2*n)*e^m + B*d*n*x*x^m*x^(2*n)*e^m + 2*B*c*m*x*x^m*x^n*e^m + 2*A*d*m*x*x^m*x^n*e^m + 2*B*c*n*x*x^m*x^n*e^m + 2*A*d*n*x*x^m*x^n*e^m + 2*A*c*m*x*x^m*e^m + 3*A*c*n*x*x^m*e^m + B*d*x*x^m*x^(2*n)*e^m + B*c*x*x^m*x^n*e^m + A*d*x*x^m*x^n*e^m + A*c*x*x^m*e^m)/(m^3 + 3*m^2*n + 2*m*n^2 + 3*m^2 + 6*m*n + 2*n^2 + 3*m + 3*n + 1)","B",0
5,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)/(a+b*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(d x^{n} + c\right)} \left(e x\right)^{m}}{b x^{n} + a}\,{d x}"," ",0,"integrate((B*x^n + A)*(d*x^n + c)*(e*x)^m/(b*x^n + a), x)","F",0
6,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)/(a+b*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(d x^{n} + c\right)} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(d*x^n + c)*(e*x)^m/(b*x^n + a)^2, x)","F",0
7,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)/(a+b*x^n)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(d x^{n} + c\right)} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^n + A)*(d*x^n + c)*(e*x)^m/(b*x^n + a)^3, x)","F",0
8,1,15358,0,2.012915," ","integrate((e*x)^m*(a+b*x^n)^3*(A+B*x^n)*(c+d*x^n)^2,x, algorithm=""giac"")","\frac{B b^{3} d^{2} m^{6} x x^{m} x^{6 \, n} e^{m} + 15 \, B b^{3} d^{2} m^{5} n x x^{m} x^{6 \, n} e^{m} + 85 \, B b^{3} d^{2} m^{4} n^{2} x x^{m} x^{6 \, n} e^{m} + 225 \, B b^{3} d^{2} m^{3} n^{3} x x^{m} x^{6 \, n} e^{m} + 274 \, B b^{3} d^{2} m^{2} n^{4} x x^{m} x^{6 \, n} e^{m} + 120 \, B b^{3} d^{2} m n^{5} x x^{m} x^{6 \, n} e^{m} + 2 \, B b^{3} c d m^{6} x x^{m} x^{5 \, n} e^{m} + 3 \, B a b^{2} d^{2} m^{6} x x^{m} x^{5 \, n} e^{m} + A b^{3} d^{2} m^{6} x x^{m} x^{5 \, n} e^{m} + 32 \, B b^{3} c d m^{5} n x x^{m} x^{5 \, n} e^{m} + 48 \, B a b^{2} d^{2} m^{5} n x x^{m} x^{5 \, n} e^{m} + 16 \, A b^{3} d^{2} m^{5} n x x^{m} x^{5 \, n} e^{m} + 190 \, B b^{3} c d m^{4} n^{2} x x^{m} x^{5 \, n} e^{m} + 285 \, B a b^{2} d^{2} m^{4} n^{2} x x^{m} x^{5 \, n} e^{m} + 95 \, A b^{3} d^{2} m^{4} n^{2} x x^{m} x^{5 \, n} e^{m} + 520 \, B b^{3} c d m^{3} n^{3} x x^{m} x^{5 \, n} e^{m} + 780 \, B a b^{2} d^{2} m^{3} n^{3} x x^{m} x^{5 \, n} e^{m} + 260 \, A b^{3} d^{2} m^{3} n^{3} x x^{m} x^{5 \, n} e^{m} + 648 \, B b^{3} c d m^{2} n^{4} x x^{m} x^{5 \, n} e^{m} + 972 \, B a b^{2} d^{2} m^{2} n^{4} x x^{m} x^{5 \, n} e^{m} + 324 \, A b^{3} d^{2} m^{2} n^{4} x x^{m} x^{5 \, n} e^{m} + 288 \, B b^{3} c d m n^{5} x x^{m} x^{5 \, n} e^{m} + 432 \, B a b^{2} d^{2} m n^{5} x x^{m} x^{5 \, n} e^{m} + 144 \, A b^{3} d^{2} m n^{5} x x^{m} x^{5 \, n} e^{m} + B b^{3} c^{2} m^{6} x x^{m} x^{4 \, n} e^{m} + 6 \, B a b^{2} c d m^{6} x x^{m} x^{4 \, n} e^{m} + 2 \, A b^{3} c d m^{6} x x^{m} x^{4 \, n} e^{m} + 3 \, B a^{2} b d^{2} m^{6} x x^{m} x^{4 \, n} e^{m} + 3 \, A a b^{2} d^{2} m^{6} x x^{m} x^{4 \, n} e^{m} + 17 \, B b^{3} c^{2} m^{5} n x x^{m} x^{4 \, n} e^{m} + 102 \, B a b^{2} c d m^{5} n x x^{m} x^{4 \, n} e^{m} + 34 \, A b^{3} c d m^{5} n x x^{m} x^{4 \, n} e^{m} + 51 \, B a^{2} b d^{2} m^{5} n x x^{m} x^{4 \, n} e^{m} + 51 \, A a b^{2} d^{2} m^{5} n x x^{m} x^{4 \, n} e^{m} + 107 \, B b^{3} c^{2} m^{4} n^{2} x x^{m} x^{4 \, n} e^{m} + 642 \, B a b^{2} c d m^{4} n^{2} x x^{m} x^{4 \, n} e^{m} + 214 \, A b^{3} c d m^{4} n^{2} x x^{m} x^{4 \, n} e^{m} + 321 \, B a^{2} b d^{2} m^{4} n^{2} x x^{m} x^{4 \, n} e^{m} + 321 \, A a b^{2} d^{2} m^{4} n^{2} x x^{m} x^{4 \, n} e^{m} + 307 \, B b^{3} c^{2} m^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 1842 \, B a b^{2} c d m^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 614 \, A b^{3} c d m^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 921 \, B a^{2} b d^{2} m^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 921 \, A a b^{2} d^{2} m^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 396 \, B b^{3} c^{2} m^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 2376 \, B a b^{2} c d m^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 792 \, A b^{3} c d m^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 1188 \, B a^{2} b d^{2} m^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 1188 \, A a b^{2} d^{2} m^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 180 \, B b^{3} c^{2} m n^{5} x x^{m} x^{4 \, n} e^{m} + 1080 \, B a b^{2} c d m n^{5} x x^{m} x^{4 \, n} e^{m} + 360 \, A b^{3} c d m n^{5} x x^{m} x^{4 \, n} e^{m} + 540 \, B a^{2} b d^{2} m n^{5} x x^{m} x^{4 \, n} e^{m} + 540 \, A a b^{2} d^{2} m n^{5} x x^{m} x^{4 \, n} e^{m} + 3 \, B a b^{2} c^{2} m^{6} x x^{m} x^{3 \, n} e^{m} + A b^{3} c^{2} m^{6} x x^{m} x^{3 \, n} e^{m} + 6 \, B a^{2} b c d m^{6} x x^{m} x^{3 \, n} e^{m} + 6 \, A a b^{2} c d m^{6} x x^{m} x^{3 \, n} e^{m} + B a^{3} d^{2} m^{6} x x^{m} x^{3 \, n} e^{m} + 3 \, A a^{2} b d^{2} m^{6} x x^{m} x^{3 \, n} e^{m} + 54 \, B a b^{2} c^{2} m^{5} n x x^{m} x^{3 \, n} e^{m} + 18 \, A b^{3} c^{2} m^{5} n x x^{m} x^{3 \, n} e^{m} + 108 \, B a^{2} b c d m^{5} n x x^{m} x^{3 \, n} e^{m} + 108 \, A a b^{2} c d m^{5} n x x^{m} x^{3 \, n} e^{m} + 18 \, B a^{3} d^{2} m^{5} n x x^{m} x^{3 \, n} e^{m} + 54 \, A a^{2} b d^{2} m^{5} n x x^{m} x^{3 \, n} e^{m} + 363 \, B a b^{2} c^{2} m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 121 \, A b^{3} c^{2} m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, B a^{2} b c d m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, A a b^{2} c d m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 121 \, B a^{3} d^{2} m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 363 \, A a^{2} b d^{2} m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 1116 \, B a b^{2} c^{2} m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 372 \, A b^{3} c^{2} m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 2232 \, B a^{2} b c d m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 2232 \, A a b^{2} c d m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 372 \, B a^{3} d^{2} m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 1116 \, A a^{2} b d^{2} m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 1524 \, B a b^{2} c^{2} m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 508 \, A b^{3} c^{2} m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 3048 \, B a^{2} b c d m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 3048 \, A a b^{2} c d m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 508 \, B a^{3} d^{2} m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 1524 \, A a^{2} b d^{2} m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 720 \, B a b^{2} c^{2} m n^{5} x x^{m} x^{3 \, n} e^{m} + 240 \, A b^{3} c^{2} m n^{5} x x^{m} x^{3 \, n} e^{m} + 1440 \, B a^{2} b c d m n^{5} x x^{m} x^{3 \, n} e^{m} + 1440 \, A a b^{2} c d m n^{5} x x^{m} x^{3 \, n} e^{m} + 240 \, B a^{3} d^{2} m n^{5} x x^{m} x^{3 \, n} e^{m} + 720 \, A a^{2} b d^{2} m n^{5} x x^{m} x^{3 \, n} e^{m} + 3 \, B a^{2} b c^{2} m^{6} x x^{m} x^{2 \, n} e^{m} + 3 \, A a b^{2} c^{2} m^{6} x x^{m} x^{2 \, n} e^{m} + 2 \, B a^{3} c d m^{6} x x^{m} x^{2 \, n} e^{m} + 6 \, A a^{2} b c d m^{6} x x^{m} x^{2 \, n} e^{m} + A a^{3} d^{2} m^{6} x x^{m} x^{2 \, n} e^{m} + 57 \, B a^{2} b c^{2} m^{5} n x x^{m} x^{2 \, n} e^{m} + 57 \, A a b^{2} c^{2} m^{5} n x x^{m} x^{2 \, n} e^{m} + 38 \, B a^{3} c d m^{5} n x x^{m} x^{2 \, n} e^{m} + 114 \, A a^{2} b c d m^{5} n x x^{m} x^{2 \, n} e^{m} + 19 \, A a^{3} d^{2} m^{5} n x x^{m} x^{2 \, n} e^{m} + 411 \, B a^{2} b c^{2} m^{4} n^{2} x x^{m} x^{2 \, n} e^{m} + 411 \, A a b^{2} c^{2} m^{4} n^{2} x x^{m} x^{2 \, n} e^{m} + 274 \, B a^{3} c d m^{4} n^{2} x x^{m} x^{2 \, n} e^{m} + 822 \, A a^{2} b c d m^{4} n^{2} x x^{m} x^{2 \, n} e^{m} + 137 \, A a^{3} d^{2} m^{4} n^{2} x x^{m} x^{2 \, n} e^{m} + 1383 \, B a^{2} b c^{2} m^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 1383 \, A a b^{2} c^{2} m^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 922 \, B a^{3} c d m^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 2766 \, A a^{2} b c d m^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 461 \, A a^{3} d^{2} m^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 2106 \, B a^{2} b c^{2} m^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 2106 \, A a b^{2} c^{2} m^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 1404 \, B a^{3} c d m^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 4212 \, A a^{2} b c d m^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 702 \, A a^{3} d^{2} m^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 1080 \, B a^{2} b c^{2} m n^{5} x x^{m} x^{2 \, n} e^{m} + 1080 \, A a b^{2} c^{2} m n^{5} x x^{m} x^{2 \, n} e^{m} + 720 \, B a^{3} c d m n^{5} x x^{m} x^{2 \, n} e^{m} + 2160 \, A a^{2} b c d m n^{5} x x^{m} x^{2 \, n} e^{m} + 360 \, A a^{3} d^{2} m n^{5} x x^{m} x^{2 \, n} e^{m} + B a^{3} c^{2} m^{6} x x^{m} x^{n} e^{m} + 3 \, A a^{2} b c^{2} m^{6} x x^{m} x^{n} e^{m} + 2 \, A a^{3} c d m^{6} x x^{m} x^{n} e^{m} + 20 \, B a^{3} c^{2} m^{5} n x x^{m} x^{n} e^{m} + 60 \, A a^{2} b c^{2} m^{5} n x x^{m} x^{n} e^{m} + 40 \, A a^{3} c d m^{5} n x x^{m} x^{n} e^{m} + 155 \, B a^{3} c^{2} m^{4} n^{2} x x^{m} x^{n} e^{m} + 465 \, A a^{2} b c^{2} m^{4} n^{2} x x^{m} x^{n} e^{m} + 310 \, A a^{3} c d m^{4} n^{2} x x^{m} x^{n} e^{m} + 580 \, B a^{3} c^{2} m^{3} n^{3} x x^{m} x^{n} e^{m} + 1740 \, A a^{2} b c^{2} m^{3} n^{3} x x^{m} x^{n} e^{m} + 1160 \, A a^{3} c d m^{3} n^{3} x x^{m} x^{n} e^{m} + 1044 \, B a^{3} c^{2} m^{2} n^{4} x x^{m} x^{n} e^{m} + 3132 \, A a^{2} b c^{2} m^{2} n^{4} x x^{m} x^{n} e^{m} + 2088 \, A a^{3} c d m^{2} n^{4} x x^{m} x^{n} e^{m} + 720 \, B a^{3} c^{2} m n^{5} x x^{m} x^{n} e^{m} + 2160 \, A a^{2} b c^{2} m n^{5} x x^{m} x^{n} e^{m} + 1440 \, A a^{3} c d m n^{5} x x^{m} x^{n} e^{m} + A a^{3} c^{2} m^{6} x x^{m} e^{m} + 21 \, A a^{3} c^{2} m^{5} n x x^{m} e^{m} + 175 \, A a^{3} c^{2} m^{4} n^{2} x x^{m} e^{m} + 735 \, A a^{3} c^{2} m^{3} n^{3} x x^{m} e^{m} + 1624 \, A a^{3} c^{2} m^{2} n^{4} x x^{m} e^{m} + 1764 \, A a^{3} c^{2} m n^{5} x x^{m} e^{m} + 720 \, A a^{3} c^{2} n^{6} x x^{m} e^{m} + 6 \, B b^{3} d^{2} m^{5} x x^{m} x^{6 \, n} e^{m} + 75 \, B b^{3} d^{2} m^{4} n x x^{m} x^{6 \, n} e^{m} + 340 \, B b^{3} d^{2} m^{3} n^{2} x x^{m} x^{6 \, n} e^{m} + 675 \, B b^{3} d^{2} m^{2} n^{3} x x^{m} x^{6 \, n} e^{m} + 548 \, B b^{3} d^{2} m n^{4} x x^{m} x^{6 \, n} e^{m} + 120 \, B b^{3} d^{2} n^{5} x x^{m} x^{6 \, n} e^{m} + 12 \, B b^{3} c d m^{5} x x^{m} x^{5 \, n} e^{m} + 18 \, B a b^{2} d^{2} m^{5} x x^{m} x^{5 \, n} e^{m} + 6 \, A b^{3} d^{2} m^{5} x x^{m} x^{5 \, n} e^{m} + 160 \, B b^{3} c d m^{4} n x x^{m} x^{5 \, n} e^{m} + 240 \, B a b^{2} d^{2} m^{4} n x x^{m} x^{5 \, n} e^{m} + 80 \, A b^{3} d^{2} m^{4} n x x^{m} x^{5 \, n} e^{m} + 760 \, B b^{3} c d m^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 1140 \, B a b^{2} d^{2} m^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 380 \, A b^{3} d^{2} m^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 1560 \, B b^{3} c d m^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 2340 \, B a b^{2} d^{2} m^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 780 \, A b^{3} d^{2} m^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 1296 \, B b^{3} c d m n^{4} x x^{m} x^{5 \, n} e^{m} + 1944 \, B a b^{2} d^{2} m n^{4} x x^{m} x^{5 \, n} e^{m} + 648 \, A b^{3} d^{2} m n^{4} x x^{m} x^{5 \, n} e^{m} + 288 \, B b^{3} c d n^{5} x x^{m} x^{5 \, n} e^{m} + 432 \, B a b^{2} d^{2} n^{5} x x^{m} x^{5 \, n} e^{m} + 144 \, A b^{3} d^{2} n^{5} x x^{m} x^{5 \, n} e^{m} + 6 \, B b^{3} c^{2} m^{5} x x^{m} x^{4 \, n} e^{m} + 36 \, B a b^{2} c d m^{5} x x^{m} x^{4 \, n} e^{m} + 12 \, A b^{3} c d m^{5} x x^{m} x^{4 \, n} e^{m} + 18 \, B a^{2} b d^{2} m^{5} x x^{m} x^{4 \, n} e^{m} + 18 \, A a b^{2} d^{2} m^{5} x x^{m} x^{4 \, n} e^{m} + 85 \, B b^{3} c^{2} m^{4} n x x^{m} x^{4 \, n} e^{m} + 510 \, B a b^{2} c d m^{4} n x x^{m} x^{4 \, n} e^{m} + 170 \, A b^{3} c d m^{4} n x x^{m} x^{4 \, n} e^{m} + 255 \, B a^{2} b d^{2} m^{4} n x x^{m} x^{4 \, n} e^{m} + 255 \, A a b^{2} d^{2} m^{4} n x x^{m} x^{4 \, n} e^{m} + 428 \, B b^{3} c^{2} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 2568 \, B a b^{2} c d m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 856 \, A b^{3} c d m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 1284 \, B a^{2} b d^{2} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 1284 \, A a b^{2} d^{2} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 921 \, B b^{3} c^{2} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 5526 \, B a b^{2} c d m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 1842 \, A b^{3} c d m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 2763 \, B a^{2} b d^{2} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 2763 \, A a b^{2} d^{2} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 792 \, B b^{3} c^{2} m n^{4} x x^{m} x^{4 \, n} e^{m} + 4752 \, B a b^{2} c d m n^{4} x x^{m} x^{4 \, n} e^{m} + 1584 \, A b^{3} c d m n^{4} x x^{m} x^{4 \, n} e^{m} + 2376 \, B a^{2} b d^{2} m n^{4} x x^{m} x^{4 \, n} e^{m} + 2376 \, A a b^{2} d^{2} m n^{4} x x^{m} x^{4 \, n} e^{m} + 180 \, B b^{3} c^{2} n^{5} x x^{m} x^{4 \, n} e^{m} + 1080 \, B a b^{2} c d n^{5} x x^{m} x^{4 \, n} e^{m} + 360 \, A b^{3} c d n^{5} x x^{m} x^{4 \, n} e^{m} + 540 \, B a^{2} b d^{2} n^{5} x x^{m} x^{4 \, n} e^{m} + 540 \, A a b^{2} d^{2} n^{5} x x^{m} x^{4 \, n} e^{m} + 18 \, B a b^{2} c^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + 6 \, A b^{3} c^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + 36 \, B a^{2} b c d m^{5} x x^{m} x^{3 \, n} e^{m} + 36 \, A a b^{2} c d m^{5} x x^{m} x^{3 \, n} e^{m} + 6 \, B a^{3} d^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + 18 \, A a^{2} b d^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + 270 \, B a b^{2} c^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 90 \, A b^{3} c^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 540 \, B a^{2} b c d m^{4} n x x^{m} x^{3 \, n} e^{m} + 540 \, A a b^{2} c d m^{4} n x x^{m} x^{3 \, n} e^{m} + 90 \, B a^{3} d^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 270 \, A a^{2} b d^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 1452 \, B a b^{2} c^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 484 \, A b^{3} c^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 2904 \, B a^{2} b c d m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 2904 \, A a b^{2} c d m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 484 \, B a^{3} d^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 1452 \, A a^{2} b d^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 3348 \, B a b^{2} c^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 1116 \, A b^{3} c^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 6696 \, B a^{2} b c d m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 6696 \, A a b^{2} c d m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 1116 \, B a^{3} d^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 3348 \, A a^{2} b d^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 3048 \, B a b^{2} c^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 1016 \, A b^{3} c^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 6096 \, B a^{2} b c d m n^{4} x x^{m} x^{3 \, n} e^{m} + 6096 \, A a b^{2} c d m n^{4} x x^{m} x^{3 \, n} e^{m} + 1016 \, B a^{3} d^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 3048 \, A a^{2} b d^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 720 \, B a b^{2} c^{2} n^{5} x x^{m} x^{3 \, n} e^{m} + 240 \, A b^{3} c^{2} n^{5} x x^{m} x^{3 \, n} e^{m} + 1440 \, B a^{2} b c d n^{5} x x^{m} x^{3 \, n} e^{m} + 1440 \, A a b^{2} c d n^{5} x x^{m} x^{3 \, n} e^{m} + 240 \, B a^{3} d^{2} n^{5} x x^{m} x^{3 \, n} e^{m} + 720 \, A a^{2} b d^{2} n^{5} x x^{m} x^{3 \, n} e^{m} + 18 \, B a^{2} b c^{2} m^{5} x x^{m} x^{2 \, n} e^{m} + 18 \, A a b^{2} c^{2} m^{5} x x^{m} x^{2 \, n} e^{m} + 12 \, B a^{3} c d m^{5} x x^{m} x^{2 \, n} e^{m} + 36 \, A a^{2} b c d m^{5} x x^{m} x^{2 \, n} e^{m} + 6 \, A a^{3} d^{2} m^{5} x x^{m} x^{2 \, n} e^{m} + 285 \, B a^{2} b c^{2} m^{4} n x x^{m} x^{2 \, n} e^{m} + 285 \, A a b^{2} c^{2} m^{4} n x x^{m} x^{2 \, n} e^{m} + 190 \, B a^{3} c d m^{4} n x x^{m} x^{2 \, n} e^{m} + 570 \, A a^{2} b c d m^{4} n x x^{m} x^{2 \, n} e^{m} + 95 \, A a^{3} d^{2} m^{4} n x x^{m} x^{2 \, n} e^{m} + 1644 \, B a^{2} b c^{2} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 1644 \, A a b^{2} c^{2} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 1096 \, B a^{3} c d m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 3288 \, A a^{2} b c d m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 548 \, A a^{3} d^{2} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 4149 \, B a^{2} b c^{2} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 4149 \, A a b^{2} c^{2} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 2766 \, B a^{3} c d m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 8298 \, A a^{2} b c d m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 1383 \, A a^{3} d^{2} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 4212 \, B a^{2} b c^{2} m n^{4} x x^{m} x^{2 \, n} e^{m} + 4212 \, A a b^{2} c^{2} m n^{4} x x^{m} x^{2 \, n} e^{m} + 2808 \, B a^{3} c d m n^{4} x x^{m} x^{2 \, n} e^{m} + 8424 \, A a^{2} b c d m n^{4} x x^{m} x^{2 \, n} e^{m} + 1404 \, A a^{3} d^{2} m n^{4} x x^{m} x^{2 \, n} e^{m} + 1080 \, B a^{2} b c^{2} n^{5} x x^{m} x^{2 \, n} e^{m} + 1080 \, A a b^{2} c^{2} n^{5} x x^{m} x^{2 \, n} e^{m} + 720 \, B a^{3} c d n^{5} x x^{m} x^{2 \, n} e^{m} + 2160 \, A a^{2} b c d n^{5} x x^{m} x^{2 \, n} e^{m} + 360 \, A a^{3} d^{2} n^{5} x x^{m} x^{2 \, n} e^{m} + 6 \, B a^{3} c^{2} m^{5} x x^{m} x^{n} e^{m} + 18 \, A a^{2} b c^{2} m^{5} x x^{m} x^{n} e^{m} + 12 \, A a^{3} c d m^{5} x x^{m} x^{n} e^{m} + 100 \, B a^{3} c^{2} m^{4} n x x^{m} x^{n} e^{m} + 300 \, A a^{2} b c^{2} m^{4} n x x^{m} x^{n} e^{m} + 200 \, A a^{3} c d m^{4} n x x^{m} x^{n} e^{m} + 620 \, B a^{3} c^{2} m^{3} n^{2} x x^{m} x^{n} e^{m} + 1860 \, A a^{2} b c^{2} m^{3} n^{2} x x^{m} x^{n} e^{m} + 1240 \, A a^{3} c d m^{3} n^{2} x x^{m} x^{n} e^{m} + 1740 \, B a^{3} c^{2} m^{2} n^{3} x x^{m} x^{n} e^{m} + 5220 \, A a^{2} b c^{2} m^{2} n^{3} x x^{m} x^{n} e^{m} + 3480 \, A a^{3} c d m^{2} n^{3} x x^{m} x^{n} e^{m} + 2088 \, B a^{3} c^{2} m n^{4} x x^{m} x^{n} e^{m} + 6264 \, A a^{2} b c^{2} m n^{4} x x^{m} x^{n} e^{m} + 4176 \, A a^{3} c d m n^{4} x x^{m} x^{n} e^{m} + 720 \, B a^{3} c^{2} n^{5} x x^{m} x^{n} e^{m} + 2160 \, A a^{2} b c^{2} n^{5} x x^{m} x^{n} e^{m} + 1440 \, A a^{3} c d n^{5} x x^{m} x^{n} e^{m} + 6 \, A a^{3} c^{2} m^{5} x x^{m} e^{m} + 105 \, A a^{3} c^{2} m^{4} n x x^{m} e^{m} + 700 \, A a^{3} c^{2} m^{3} n^{2} x x^{m} e^{m} + 2205 \, A a^{3} c^{2} m^{2} n^{3} x x^{m} e^{m} + 3248 \, A a^{3} c^{2} m n^{4} x x^{m} e^{m} + 1764 \, A a^{3} c^{2} n^{5} x x^{m} e^{m} + 15 \, B b^{3} d^{2} m^{4} x x^{m} x^{6 \, n} e^{m} + 150 \, B b^{3} d^{2} m^{3} n x x^{m} x^{6 \, n} e^{m} + 510 \, B b^{3} d^{2} m^{2} n^{2} x x^{m} x^{6 \, n} e^{m} + 675 \, B b^{3} d^{2} m n^{3} x x^{m} x^{6 \, n} e^{m} + 274 \, B b^{3} d^{2} n^{4} x x^{m} x^{6 \, n} e^{m} + 30 \, B b^{3} c d m^{4} x x^{m} x^{5 \, n} e^{m} + 45 \, B a b^{2} d^{2} m^{4} x x^{m} x^{5 \, n} e^{m} + 15 \, A b^{3} d^{2} m^{4} x x^{m} x^{5 \, n} e^{m} + 320 \, B b^{3} c d m^{3} n x x^{m} x^{5 \, n} e^{m} + 480 \, B a b^{2} d^{2} m^{3} n x x^{m} x^{5 \, n} e^{m} + 160 \, A b^{3} d^{2} m^{3} n x x^{m} x^{5 \, n} e^{m} + 1140 \, B b^{3} c d m^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 1710 \, B a b^{2} d^{2} m^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 570 \, A b^{3} d^{2} m^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 1560 \, B b^{3} c d m n^{3} x x^{m} x^{5 \, n} e^{m} + 2340 \, B a b^{2} d^{2} m n^{3} x x^{m} x^{5 \, n} e^{m} + 780 \, A b^{3} d^{2} m n^{3} x x^{m} x^{5 \, n} e^{m} + 648 \, B b^{3} c d n^{4} x x^{m} x^{5 \, n} e^{m} + 972 \, B a b^{2} d^{2} n^{4} x x^{m} x^{5 \, n} e^{m} + 324 \, A b^{3} d^{2} n^{4} x x^{m} x^{5 \, n} e^{m} + 15 \, B b^{3} c^{2} m^{4} x x^{m} x^{4 \, n} e^{m} + 90 \, B a b^{2} c d m^{4} x x^{m} x^{4 \, n} e^{m} + 30 \, A b^{3} c d m^{4} x x^{m} x^{4 \, n} e^{m} + 45 \, B a^{2} b d^{2} m^{4} x x^{m} x^{4 \, n} e^{m} + 45 \, A a b^{2} d^{2} m^{4} x x^{m} x^{4 \, n} e^{m} + 170 \, B b^{3} c^{2} m^{3} n x x^{m} x^{4 \, n} e^{m} + 1020 \, B a b^{2} c d m^{3} n x x^{m} x^{4 \, n} e^{m} + 340 \, A b^{3} c d m^{3} n x x^{m} x^{4 \, n} e^{m} + 510 \, B a^{2} b d^{2} m^{3} n x x^{m} x^{4 \, n} e^{m} + 510 \, A a b^{2} d^{2} m^{3} n x x^{m} x^{4 \, n} e^{m} + 642 \, B b^{3} c^{2} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 3852 \, B a b^{2} c d m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 1284 \, A b^{3} c d m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 1926 \, B a^{2} b d^{2} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 1926 \, A a b^{2} d^{2} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 921 \, B b^{3} c^{2} m n^{3} x x^{m} x^{4 \, n} e^{m} + 5526 \, B a b^{2} c d m n^{3} x x^{m} x^{4 \, n} e^{m} + 1842 \, A b^{3} c d m n^{3} x x^{m} x^{4 \, n} e^{m} + 2763 \, B a^{2} b d^{2} m n^{3} x x^{m} x^{4 \, n} e^{m} + 2763 \, A a b^{2} d^{2} m n^{3} x x^{m} x^{4 \, n} e^{m} + 396 \, B b^{3} c^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 2376 \, B a b^{2} c d n^{4} x x^{m} x^{4 \, n} e^{m} + 792 \, A b^{3} c d n^{4} x x^{m} x^{4 \, n} e^{m} + 1188 \, B a^{2} b d^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 1188 \, A a b^{2} d^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 45 \, B a b^{2} c^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 15 \, A b^{3} c^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 90 \, B a^{2} b c d m^{4} x x^{m} x^{3 \, n} e^{m} + 90 \, A a b^{2} c d m^{4} x x^{m} x^{3 \, n} e^{m} + 15 \, B a^{3} d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 45 \, A a^{2} b d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 540 \, B a b^{2} c^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 180 \, A b^{3} c^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 1080 \, B a^{2} b c d m^{3} n x x^{m} x^{3 \, n} e^{m} + 1080 \, A a b^{2} c d m^{3} n x x^{m} x^{3 \, n} e^{m} + 180 \, B a^{3} d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 540 \, A a^{2} b d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 2178 \, B a b^{2} c^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, A b^{3} c^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 4356 \, B a^{2} b c d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 4356 \, A a b^{2} c d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, B a^{3} d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 2178 \, A a^{2} b d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 3348 \, B a b^{2} c^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} 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e^{m} + 380 \, B a^{3} c d m^{3} n x x^{m} x^{2 \, n} e^{m} + 1140 \, A a^{2} b c d m^{3} n x x^{m} x^{2 \, n} e^{m} + 190 \, A a^{3} d^{2} m^{3} n x x^{m} x^{2 \, n} e^{m} + 2466 \, B a^{2} b c^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 2466 \, A a b^{2} c^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 1644 \, B a^{3} c d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 4932 \, A a^{2} b c d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 822 \, A a^{3} d^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 4149 \, B a^{2} b c^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + 4149 \, A a b^{2} c^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + 2766 \, B a^{3} c d m n^{3} x x^{m} x^{2 \, n} e^{m} + 8298 \, A a^{2} b c d m n^{3} x x^{m} x^{2 \, n} e^{m} + 1383 \, A a^{3} d^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + 2106 \, B a^{2} b c^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 2106 \, A a b^{2} c^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 1404 \, B a^{3} c d n^{4} x x^{m} x^{2 \, n} e^{m} + 4212 \, A a^{2} b c d n^{4} x x^{m} x^{2 \, n} e^{m} + 702 \, A a^{3} d^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 15 \, B a^{3} c^{2} m^{4} x x^{m} x^{n} e^{m} + 45 \, A a^{2} b c^{2} m^{4} x x^{m} x^{n} e^{m} + 30 \, A a^{3} c d m^{4} x x^{m} x^{n} e^{m} + 200 \, B a^{3} c^{2} m^{3} n x x^{m} x^{n} e^{m} + 600 \, A a^{2} b c^{2} m^{3} n x x^{m} x^{n} e^{m} + 400 \, A a^{3} c d m^{3} n x x^{m} x^{n} e^{m} + 930 \, B a^{3} c^{2} m^{2} n^{2} x x^{m} x^{n} e^{m} + 2790 \, A a^{2} b c^{2} m^{2} n^{2} x x^{m} x^{n} e^{m} + 1860 \, A a^{3} c d m^{2} n^{2} x x^{m} x^{n} e^{m} + 1740 \, B a^{3} c^{2} m n^{3} x x^{m} x^{n} e^{m} + 5220 \, A a^{2} b c^{2} m n^{3} x x^{m} x^{n} e^{m} + 3480 \, A a^{3} c d m n^{3} x x^{m} x^{n} e^{m} + 1044 \, B a^{3} c^{2} n^{4} x x^{m} x^{n} e^{m} + 3132 \, A a^{2} b c^{2} n^{4} x x^{m} x^{n} e^{m} + 2088 \, A a^{3} c d n^{4} x x^{m} x^{n} e^{m} + 15 \, A a^{3} c^{2} m^{4} x x^{m} e^{m} + 210 \, A a^{3} c^{2} m^{3} n x x^{m} e^{m} + 1050 \, A a^{3} c^{2} m^{2} n^{2} x x^{m} e^{m} + 2205 \, A a^{3} c^{2} m n^{3} x x^{m} e^{m} + 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n^{3} x x^{m} x^{4 \, n} e^{m} + 60 \, B a b^{2} c^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 20 \, A b^{3} c^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 120 \, B a^{2} b c d m^{3} x x^{m} x^{3 \, n} e^{m} + 120 \, A a b^{2} c d m^{3} x x^{m} x^{3 \, n} e^{m} + 20 \, B a^{3} d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 60 \, A a^{2} b d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 540 \, B a b^{2} c^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 180 \, A b^{3} c^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 1080 \, B a^{2} b c d m^{2} n x x^{m} x^{3 \, n} e^{m} + 1080 \, A a b^{2} c d m^{2} n x x^{m} x^{3 \, n} e^{m} + 180 \, B a^{3} d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 540 \, A a^{2} b d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 1452 \, B a b^{2} c^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 484 \, A b^{3} c^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 2904 \, B a^{2} b c d m n^{2} x x^{m} x^{3 \, n} e^{m} + 2904 \, A a b^{2} c d m n^{2} x x^{m} x^{3 \, n} e^{m} + 484 \, B a^{3} d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 1452 \, A a^{2} b d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 1116 \, B a b^{2} c^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 372 \, A b^{3} c^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 2232 \, B a^{2} b c d n^{3} x x^{m} x^{3 \, n} e^{m} + 2232 \, A a b^{2} c d n^{3} x x^{m} x^{3 \, n} e^{m} + 372 \, B a^{3} d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 1116 \, A a^{2} b d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 60 \, B a^{2} b c^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 60 \, A a b^{2} c^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 40 \, B a^{3} c d m^{3} x x^{m} x^{2 \, n} e^{m} + 120 \, A a^{2} b c d m^{3} x x^{m} x^{2 \, n} e^{m} + 20 \, A a^{3} d^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 570 \, B a^{2} b c^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 570 \, A a b^{2} c^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 380 \, B a^{3} c d m^{2} n x x^{m} x^{2 \, n} e^{m} + 1140 \, A a^{2} b c d m^{2} n x x^{m} x^{2 \, n} e^{m} + 190 \, A a^{3} d^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 1644 \, B a^{2} b c^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 1644 \, A a b^{2} c^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 1096 \, B a^{3} c d m n^{2} x x^{m} x^{2 \, n} e^{m} + 3288 \, A a^{2} b c d m n^{2} x x^{m} x^{2 \, n} e^{m} + 548 \, A a^{3} d^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 1383 \, B a^{2} b c^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 1383 \, A a b^{2} c^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 922 \, B a^{3} c d n^{3} x x^{m} x^{2 \, n} e^{m} + 2766 \, A a^{2} b c d n^{3} x x^{m} x^{2 \, n} e^{m} + 461 \, A a^{3} d^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 20 \, B a^{3} c^{2} m^{3} x x^{m} x^{n} e^{m} + 60 \, A a^{2} b c^{2} m^{3} x x^{m} x^{n} e^{m} + 40 \, A a^{3} c d m^{3} x x^{m} x^{n} e^{m} + 200 \, B a^{3} c^{2} m^{2} n x x^{m} x^{n} e^{m} + 600 \, A a^{2} b c^{2} m^{2} n x x^{m} x^{n} e^{m} + 400 \, A a^{3} c d m^{2} n x x^{m} x^{n} e^{m} + 620 \, B a^{3} c^{2} m n^{2} x x^{m} x^{n} e^{m} + 1860 \, A a^{2} b c^{2} m n^{2} x x^{m} x^{n} e^{m} + 1240 \, A a^{3} c d m n^{2} x x^{m} x^{n} e^{m} + 580 \, B a^{3} c^{2} n^{3} x x^{m} x^{n} e^{m} + 1740 \, A a^{2} b c^{2} n^{3} x x^{m} x^{n} e^{m} + 1160 \, A a^{3} c d n^{3} x x^{m} x^{n} e^{m} + 20 \, A a^{3} c^{2} m^{3} x x^{m} e^{m} + 210 \, A a^{3} c^{2} m^{2} n x x^{m} e^{m} + 700 \, A a^{3} c^{2} m n^{2} x x^{m} e^{m} + 735 \, A a^{3} c^{2} n^{3} x x^{m} e^{m} + 15 \, B b^{3} d^{2} m^{2} x x^{m} x^{6 \, n} e^{m} + 75 \, B b^{3} d^{2} m n x x^{m} x^{6 \, n} e^{m} + 85 \, B b^{3} d^{2} n^{2} x x^{m} x^{6 \, n} e^{m} + 30 \, B b^{3} c d m^{2} x x^{m} x^{5 \, n} e^{m} + 45 \, B a b^{2} d^{2} m^{2} x x^{m} x^{5 \, n} e^{m} + 15 \, A b^{3} d^{2} m^{2} x x^{m} x^{5 \, n} e^{m} + 160 \, B b^{3} c d m n x x^{m} x^{5 \, n} e^{m} + 240 \, B a b^{2} d^{2} m n x x^{m} x^{5 \, n} e^{m} + 80 \, A b^{3} d^{2} m n x x^{m} x^{5 \, n} e^{m} + 190 \, B b^{3} c d n^{2} x x^{m} x^{5 \, n} e^{m} + 285 \, B a b^{2} d^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 95 \, A b^{3} d^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 15 \, B b^{3} c^{2} m^{2} x x^{m} x^{4 \, n} e^{m} + 90 \, B a b^{2} c d m^{2} x x^{m} x^{4 \, n} e^{m} + 30 \, A b^{3} c d m^{2} x x^{m} x^{4 \, n} e^{m} + 45 \, B a^{2} b d^{2} m^{2} x x^{m} x^{4 \, n} e^{m} + 45 \, A a b^{2} d^{2} m^{2} x x^{m} x^{4 \, n} e^{m} + 85 \, B b^{3} c^{2} m n x x^{m} x^{4 \, n} e^{m} + 510 \, B a b^{2} c d m n x x^{m} x^{4 \, n} e^{m} + 170 \, A b^{3} c d m n x x^{m} x^{4 \, n} e^{m} + 255 \, B a^{2} b d^{2} m n x x^{m} x^{4 \, n} e^{m} + 255 \, A a b^{2} d^{2} m n x x^{m} x^{4 \, n} e^{m} + 107 \, B b^{3} c^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 642 \, B a b^{2} c d n^{2} x x^{m} x^{4 \, n} e^{m} + 214 \, A b^{3} c d n^{2} x x^{m} x^{4 \, n} e^{m} + 321 \, B a^{2} b d^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 321 \, A a b^{2} d^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 45 \, B a b^{2} c^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 15 \, A b^{3} c^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 90 \, B a^{2} b c d m^{2} x x^{m} x^{3 \, n} e^{m} + 90 \, A a b^{2} c d m^{2} x x^{m} x^{3 \, n} e^{m} + 15 \, B a^{3} d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 45 \, A a^{2} b d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 270 \, B a b^{2} c^{2} m n x x^{m} x^{3 \, n} e^{m} + 90 \, A b^{3} c^{2} m n x x^{m} x^{3 \, n} e^{m} + 540 \, B a^{2} b c d m n x x^{m} x^{3 \, n} e^{m} + 540 \, A a b^{2} c d m n x x^{m} x^{3 \, n} e^{m} + 90 \, B a^{3} d^{2} m n x x^{m} x^{3 \, n} e^{m} + 270 \, A a^{2} b d^{2} m n x x^{m} x^{3 \, n} e^{m} + 363 \, B a b^{2} c^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 121 \, A b^{3} c^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, B a^{2} b c d n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, A a b^{2} c d n^{2} x x^{m} x^{3 \, n} e^{m} + 121 \, B a^{3} d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 363 \, A a^{2} b d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 45 \, B a^{2} b c^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 45 \, A a b^{2} c^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 30 \, B a^{3} c d m^{2} x x^{m} x^{2 \, n} e^{m} + 90 \, A a^{2} b c d m^{2} x x^{m} x^{2 \, n} e^{m} + 15 \, A a^{3} d^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 285 \, B a^{2} b c^{2} m n x x^{m} x^{2 \, n} e^{m} + 285 \, A a b^{2} c^{2} m n x x^{m} x^{2 \, n} e^{m} + 190 \, B a^{3} c d m n x x^{m} x^{2 \, n} e^{m} + 570 \, A a^{2} b c d m n x x^{m} x^{2 \, n} e^{m} + 95 \, A a^{3} d^{2} m n x x^{m} x^{2 \, n} e^{m} + 411 \, B a^{2} b c^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 411 \, A a b^{2} c^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 274 \, B a^{3} c d n^{2} x x^{m} x^{2 \, n} e^{m} + 822 \, A a^{2} b c d n^{2} x x^{m} x^{2 \, n} e^{m} + 137 \, A a^{3} d^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 15 \, B a^{3} c^{2} m^{2} x x^{m} x^{n} e^{m} + 45 \, A a^{2} b c^{2} m^{2} x x^{m} x^{n} e^{m} + 30 \, A a^{3} c d m^{2} x x^{m} x^{n} e^{m} + 100 \, B a^{3} c^{2} m n x x^{m} x^{n} e^{m} + 300 \, A a^{2} b c^{2} m n x x^{m} x^{n} e^{m} + 200 \, A a^{3} c d m n x x^{m} x^{n} e^{m} + 155 \, B a^{3} c^{2} n^{2} x x^{m} x^{n} e^{m} + 465 \, A a^{2} b c^{2} n^{2} x x^{m} x^{n} e^{m} + 310 \, A a^{3} c d n^{2} x x^{m} x^{n} e^{m} + 15 \, A a^{3} c^{2} m^{2} x x^{m} e^{m} + 105 \, A a^{3} c^{2} m n x x^{m} e^{m} + 175 \, A a^{3} c^{2} n^{2} x x^{m} e^{m} + 6 \, B b^{3} d^{2} m x x^{m} x^{6 \, n} e^{m} + 15 \, B b^{3} d^{2} n x x^{m} x^{6 \, n} e^{m} + 12 \, B b^{3} c d m x x^{m} x^{5 \, n} e^{m} + 18 \, B a b^{2} d^{2} m x x^{m} x^{5 \, n} e^{m} + 6 \, A b^{3} d^{2} m x x^{m} x^{5 \, n} e^{m} + 32 \, B b^{3} c d n x x^{m} x^{5 \, n} e^{m} + 48 \, B a b^{2} d^{2} n x x^{m} x^{5 \, n} e^{m} + 16 \, A b^{3} d^{2} n x x^{m} x^{5 \, n} e^{m} + 6 \, B b^{3} c^{2} m x x^{m} x^{4 \, n} e^{m} + 36 \, B a b^{2} c d m x x^{m} x^{4 \, n} e^{m} + 12 \, A b^{3} c d m x x^{m} x^{4 \, n} e^{m} + 18 \, B a^{2} b d^{2} m x x^{m} x^{4 \, n} e^{m} + 18 \, A a b^{2} d^{2} m x x^{m} x^{4 \, n} e^{m} + 17 \, B b^{3} c^{2} n x x^{m} x^{4 \, n} e^{m} + 102 \, B a b^{2} c d n x x^{m} x^{4 \, n} e^{m} + 34 \, A b^{3} c d n x x^{m} x^{4 \, n} e^{m} + 51 \, B a^{2} b d^{2} n x x^{m} x^{4 \, n} e^{m} + 51 \, A a b^{2} d^{2} n x x^{m} x^{4 \, n} e^{m} + 18 \, B a b^{2} c^{2} m x x^{m} x^{3 \, n} e^{m} + 6 \, A b^{3} c^{2} m x x^{m} x^{3 \, n} e^{m} + 36 \, B a^{2} b c d m x x^{m} x^{3 \, n} e^{m} + 36 \, A a b^{2} c d m x x^{m} x^{3 \, n} e^{m} + 6 \, B a^{3} d^{2} m x x^{m} x^{3 \, n} e^{m} + 18 \, A a^{2} b d^{2} m x x^{m} x^{3 \, n} e^{m} + 54 \, B a b^{2} c^{2} n x x^{m} x^{3 \, n} e^{m} + 18 \, A b^{3} c^{2} n x x^{m} x^{3 \, n} e^{m} + 108 \, B a^{2} b c d n x x^{m} x^{3 \, n} e^{m} + 108 \, A a b^{2} c d n x x^{m} x^{3 \, n} e^{m} + 18 \, B a^{3} d^{2} n x x^{m} x^{3 \, n} e^{m} + 54 \, A a^{2} b d^{2} n x x^{m} x^{3 \, n} e^{m} + 18 \, B a^{2} b c^{2} m x x^{m} x^{2 \, n} e^{m} + 18 \, A a b^{2} c^{2} m x x^{m} x^{2 \, n} e^{m} + 12 \, B a^{3} c d m x x^{m} x^{2 \, n} e^{m} + 36 \, A a^{2} b c d m x x^{m} x^{2 \, n} e^{m} + 6 \, A a^{3} d^{2} m x x^{m} x^{2 \, n} e^{m} + 57 \, B a^{2} b c^{2} n x x^{m} x^{2 \, n} e^{m} + 57 \, A a b^{2} c^{2} n x x^{m} x^{2 \, n} e^{m} + 38 \, B a^{3} c d n x x^{m} x^{2 \, n} e^{m} + 114 \, A a^{2} b c d n x x^{m} x^{2 \, n} e^{m} + 19 \, A a^{3} d^{2} n x x^{m} x^{2 \, n} e^{m} + 6 \, B a^{3} c^{2} m x x^{m} x^{n} e^{m} + 18 \, A a^{2} b c^{2} m x x^{m} x^{n} e^{m} + 12 \, A a^{3} c d m x x^{m} x^{n} e^{m} + 20 \, B a^{3} c^{2} n x x^{m} x^{n} e^{m} + 60 \, A a^{2} b c^{2} n x x^{m} x^{n} e^{m} + 40 \, A a^{3} c d n x x^{m} x^{n} e^{m} + 6 \, A a^{3} c^{2} m x x^{m} e^{m} + 21 \, A a^{3} c^{2} n x x^{m} e^{m} + B b^{3} d^{2} x x^{m} x^{6 \, n} e^{m} + 2 \, B b^{3} c d x x^{m} x^{5 \, n} e^{m} + 3 \, B a b^{2} d^{2} x x^{m} x^{5 \, n} e^{m} + A b^{3} d^{2} x x^{m} x^{5 \, n} e^{m} + B b^{3} c^{2} x x^{m} x^{4 \, n} e^{m} + 6 \, B a b^{2} c d x x^{m} x^{4 \, n} e^{m} + 2 \, A b^{3} c d x x^{m} x^{4 \, n} e^{m} + 3 \, B a^{2} b d^{2} x x^{m} x^{4 \, n} e^{m} + 3 \, A a b^{2} d^{2} x x^{m} x^{4 \, n} e^{m} + 3 \, B a b^{2} c^{2} x x^{m} x^{3 \, n} e^{m} + A b^{3} c^{2} x x^{m} x^{3 \, n} e^{m} + 6 \, B a^{2} b c d x x^{m} x^{3 \, n} e^{m} + 6 \, A a b^{2} c d x x^{m} x^{3 \, n} e^{m} + B a^{3} d^{2} x x^{m} x^{3 \, n} e^{m} + 3 \, A a^{2} b d^{2} x x^{m} x^{3 \, n} e^{m} + 3 \, B a^{2} b c^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, A a b^{2} c^{2} x x^{m} x^{2 \, n} e^{m} + 2 \, B a^{3} c d x x^{m} x^{2 \, n} e^{m} + 6 \, A a^{2} b c d x x^{m} x^{2 \, n} e^{m} + A a^{3} d^{2} x x^{m} x^{2 \, n} e^{m} + B a^{3} c^{2} x x^{m} x^{n} e^{m} + 3 \, A a^{2} b c^{2} x x^{m} x^{n} e^{m} + 2 \, A a^{3} c d x x^{m} x^{n} e^{m} + A a^{3} c^{2} x x^{m} e^{m}}{m^{7} + 21 \, m^{6} n + 175 \, m^{5} n^{2} + 735 \, m^{4} n^{3} + 1624 \, m^{3} n^{4} + 1764 \, m^{2} n^{5} + 720 \, m n^{6} + 7 \, m^{6} + 126 \, m^{5} n + 875 \, m^{4} n^{2} + 2940 \, m^{3} n^{3} + 4872 \, m^{2} n^{4} + 3528 \, m n^{5} + 720 \, n^{6} + 21 \, m^{5} + 315 \, m^{4} n + 1750 \, m^{3} n^{2} + 4410 \, m^{2} n^{3} + 4872 \, m n^{4} + 1764 \, n^{5} + 35 \, m^{4} + 420 \, m^{3} n + 1750 \, m^{2} n^{2} + 2940 \, m n^{3} + 1624 \, n^{4} + 35 \, m^{3} + 315 \, m^{2} n + 875 \, m n^{2} + 735 \, n^{3} + 21 \, m^{2} + 126 \, m n + 175 \, n^{2} + 7 \, m + 21 \, n + 1}"," ",0,"(B*b^3*d^2*m^6*x*x^m*x^(6*n)*e^m 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75*B*b^3*d^2*m^4*n*x*x^m*x^(6*n)*e^m + 340*B*b^3*d^2*m^3*n^2*x*x^m*x^(6*n)*e^m + 675*B*b^3*d^2*m^2*n^3*x*x^m*x^(6*n)*e^m + 548*B*b^3*d^2*m*n^4*x*x^m*x^(6*n)*e^m + 120*B*b^3*d^2*n^5*x*x^m*x^(6*n)*e^m + 12*B*b^3*c*d*m^5*x*x^m*x^(5*n)*e^m + 18*B*a*b^2*d^2*m^5*x*x^m*x^(5*n)*e^m + 6*A*b^3*d^2*m^5*x*x^m*x^(5*n)*e^m + 160*B*b^3*c*d*m^4*n*x*x^m*x^(5*n)*e^m + 240*B*a*b^2*d^2*m^4*n*x*x^m*x^(5*n)*e^m + 80*A*b^3*d^2*m^4*n*x*x^m*x^(5*n)*e^m + 760*B*b^3*c*d*m^3*n^2*x*x^m*x^(5*n)*e^m + 1140*B*a*b^2*d^2*m^3*n^2*x*x^m*x^(5*n)*e^m + 380*A*b^3*d^2*m^3*n^2*x*x^m*x^(5*n)*e^m + 1560*B*b^3*c*d*m^2*n^3*x*x^m*x^(5*n)*e^m + 2340*B*a*b^2*d^2*m^2*n^3*x*x^m*x^(5*n)*e^m + 780*A*b^3*d^2*m^2*n^3*x*x^m*x^(5*n)*e^m + 1296*B*b^3*c*d*m*n^4*x*x^m*x^(5*n)*e^m + 1944*B*a*b^2*d^2*m*n^4*x*x^m*x^(5*n)*e^m + 648*A*b^3*d^2*m*n^4*x*x^m*x^(5*n)*e^m + 288*B*b^3*c*d*n^5*x*x^m*x^(5*n)*e^m + 432*B*a*b^2*d^2*n^5*x*x^m*x^(5*n)*e^m + 144*A*b^3*d^2*n^5*x*x^m*x^(5*n)*e^m + 6*B*b^3*c^2*m^5*x*x^m*x^(4*n)*e^m + 36*B*a*b^2*c*d*m^5*x*x^m*x^(4*n)*e^m + 12*A*b^3*c*d*m^5*x*x^m*x^(4*n)*e^m + 18*B*a^2*b*d^2*m^5*x*x^m*x^(4*n)*e^m + 18*A*a*b^2*d^2*m^5*x*x^m*x^(4*n)*e^m + 85*B*b^3*c^2*m^4*n*x*x^m*x^(4*n)*e^m + 510*B*a*b^2*c*d*m^4*n*x*x^m*x^(4*n)*e^m + 170*A*b^3*c*d*m^4*n*x*x^m*x^(4*n)*e^m + 255*B*a^2*b*d^2*m^4*n*x*x^m*x^(4*n)*e^m + 255*A*a*b^2*d^2*m^4*n*x*x^m*x^(4*n)*e^m + 428*B*b^3*c^2*m^3*n^2*x*x^m*x^(4*n)*e^m + 2568*B*a*b^2*c*d*m^3*n^2*x*x^m*x^(4*n)*e^m + 856*A*b^3*c*d*m^3*n^2*x*x^m*x^(4*n)*e^m + 1284*B*a^2*b*d^2*m^3*n^2*x*x^m*x^(4*n)*e^m + 1284*A*a*b^2*d^2*m^3*n^2*x*x^m*x^(4*n)*e^m + 921*B*b^3*c^2*m^2*n^3*x*x^m*x^(4*n)*e^m + 5526*B*a*b^2*c*d*m^2*n^3*x*x^m*x^(4*n)*e^m + 1842*A*b^3*c*d*m^2*n^3*x*x^m*x^(4*n)*e^m + 2763*B*a^2*b*d^2*m^2*n^3*x*x^m*x^(4*n)*e^m + 2763*A*a*b^2*d^2*m^2*n^3*x*x^m*x^(4*n)*e^m + 792*B*b^3*c^2*m*n^4*x*x^m*x^(4*n)*e^m + 4752*B*a*b^2*c*d*m*n^4*x*x^m*x^(4*n)*e^m + 1584*A*b^3*c*d*m*n^4*x*x^m*x^(4*n)*e^m + 2376*B*a^2*b*d^2*m*n^4*x*x^m*x^(4*n)*e^m + 2376*A*a*b^2*d^2*m*n^4*x*x^m*x^(4*n)*e^m + 180*B*b^3*c^2*n^5*x*x^m*x^(4*n)*e^m + 1080*B*a*b^2*c*d*n^5*x*x^m*x^(4*n)*e^m + 360*A*b^3*c*d*n^5*x*x^m*x^(4*n)*e^m + 540*B*a^2*b*d^2*n^5*x*x^m*x^(4*n)*e^m + 540*A*a*b^2*d^2*n^5*x*x^m*x^(4*n)*e^m + 18*B*a*b^2*c^2*m^5*x*x^m*x^(3*n)*e^m + 6*A*b^3*c^2*m^5*x*x^m*x^(3*n)*e^m + 36*B*a^2*b*c*d*m^5*x*x^m*x^(3*n)*e^m + 36*A*a*b^2*c*d*m^5*x*x^m*x^(3*n)*e^m + 6*B*a^3*d^2*m^5*x*x^m*x^(3*n)*e^m + 18*A*a^2*b*d^2*m^5*x*x^m*x^(3*n)*e^m + 270*B*a*b^2*c^2*m^4*n*x*x^m*x^(3*n)*e^m + 90*A*b^3*c^2*m^4*n*x*x^m*x^(3*n)*e^m + 540*B*a^2*b*c*d*m^4*n*x*x^m*x^(3*n)*e^m + 540*A*a*b^2*c*d*m^4*n*x*x^m*x^(3*n)*e^m + 90*B*a^3*d^2*m^4*n*x*x^m*x^(3*n)*e^m + 270*A*a^2*b*d^2*m^4*n*x*x^m*x^(3*n)*e^m + 1452*B*a*b^2*c^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 484*A*b^3*c^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 2904*B*a^2*b*c*d*m^3*n^2*x*x^m*x^(3*n)*e^m + 2904*A*a*b^2*c*d*m^3*n^2*x*x^m*x^(3*n)*e^m + 484*B*a^3*d^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 1452*A*a^2*b*d^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 3348*B*a*b^2*c^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 1116*A*b^3*c^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 6696*B*a^2*b*c*d*m^2*n^3*x*x^m*x^(3*n)*e^m + 6696*A*a*b^2*c*d*m^2*n^3*x*x^m*x^(3*n)*e^m + 1116*B*a^3*d^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 3348*A*a^2*b*d^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 3048*B*a*b^2*c^2*m*n^4*x*x^m*x^(3*n)*e^m + 1016*A*b^3*c^2*m*n^4*x*x^m*x^(3*n)*e^m + 6096*B*a^2*b*c*d*m*n^4*x*x^m*x^(3*n)*e^m + 6096*A*a*b^2*c*d*m*n^4*x*x^m*x^(3*n)*e^m + 1016*B*a^3*d^2*m*n^4*x*x^m*x^(3*n)*e^m + 3048*A*a^2*b*d^2*m*n^4*x*x^m*x^(3*n)*e^m + 720*B*a*b^2*c^2*n^5*x*x^m*x^(3*n)*e^m + 240*A*b^3*c^2*n^5*x*x^m*x^(3*n)*e^m + 1440*B*a^2*b*c*d*n^5*x*x^m*x^(3*n)*e^m + 1440*A*a*b^2*c*d*n^5*x*x^m*x^(3*n)*e^m + 240*B*a^3*d^2*n^5*x*x^m*x^(3*n)*e^m + 720*A*a^2*b*d^2*n^5*x*x^m*x^(3*n)*e^m + 18*B*a^2*b*c^2*m^5*x*x^m*x^(2*n)*e^m + 18*A*a*b^2*c^2*m^5*x*x^m*x^(2*n)*e^m + 12*B*a^3*c*d*m^5*x*x^m*x^(2*n)*e^m + 36*A*a^2*b*c*d*m^5*x*x^m*x^(2*n)*e^m + 6*A*a^3*d^2*m^5*x*x^m*x^(2*n)*e^m + 285*B*a^2*b*c^2*m^4*n*x*x^m*x^(2*n)*e^m + 285*A*a*b^2*c^2*m^4*n*x*x^m*x^(2*n)*e^m + 190*B*a^3*c*d*m^4*n*x*x^m*x^(2*n)*e^m + 570*A*a^2*b*c*d*m^4*n*x*x^m*x^(2*n)*e^m + 95*A*a^3*d^2*m^4*n*x*x^m*x^(2*n)*e^m + 1644*B*a^2*b*c^2*m^3*n^2*x*x^m*x^(2*n)*e^m + 1644*A*a*b^2*c^2*m^3*n^2*x*x^m*x^(2*n)*e^m + 1096*B*a^3*c*d*m^3*n^2*x*x^m*x^(2*n)*e^m + 3288*A*a^2*b*c*d*m^3*n^2*x*x^m*x^(2*n)*e^m + 548*A*a^3*d^2*m^3*n^2*x*x^m*x^(2*n)*e^m + 4149*B*a^2*b*c^2*m^2*n^3*x*x^m*x^(2*n)*e^m + 4149*A*a*b^2*c^2*m^2*n^3*x*x^m*x^(2*n)*e^m + 2766*B*a^3*c*d*m^2*n^3*x*x^m*x^(2*n)*e^m + 8298*A*a^2*b*c*d*m^2*n^3*x*x^m*x^(2*n)*e^m + 1383*A*a^3*d^2*m^2*n^3*x*x^m*x^(2*n)*e^m + 4212*B*a^2*b*c^2*m*n^4*x*x^m*x^(2*n)*e^m + 4212*A*a*b^2*c^2*m*n^4*x*x^m*x^(2*n)*e^m + 2808*B*a^3*c*d*m*n^4*x*x^m*x^(2*n)*e^m + 8424*A*a^2*b*c*d*m*n^4*x*x^m*x^(2*n)*e^m + 1404*A*a^3*d^2*m*n^4*x*x^m*x^(2*n)*e^m + 1080*B*a^2*b*c^2*n^5*x*x^m*x^(2*n)*e^m + 1080*A*a*b^2*c^2*n^5*x*x^m*x^(2*n)*e^m + 720*B*a^3*c*d*n^5*x*x^m*x^(2*n)*e^m + 2160*A*a^2*b*c*d*n^5*x*x^m*x^(2*n)*e^m + 360*A*a^3*d^2*n^5*x*x^m*x^(2*n)*e^m + 6*B*a^3*c^2*m^5*x*x^m*x^n*e^m + 18*A*a^2*b*c^2*m^5*x*x^m*x^n*e^m + 12*A*a^3*c*d*m^5*x*x^m*x^n*e^m + 100*B*a^3*c^2*m^4*n*x*x^m*x^n*e^m + 300*A*a^2*b*c^2*m^4*n*x*x^m*x^n*e^m + 200*A*a^3*c*d*m^4*n*x*x^m*x^n*e^m + 620*B*a^3*c^2*m^3*n^2*x*x^m*x^n*e^m + 1860*A*a^2*b*c^2*m^3*n^2*x*x^m*x^n*e^m + 1240*A*a^3*c*d*m^3*n^2*x*x^m*x^n*e^m + 1740*B*a^3*c^2*m^2*n^3*x*x^m*x^n*e^m + 5220*A*a^2*b*c^2*m^2*n^3*x*x^m*x^n*e^m + 3480*A*a^3*c*d*m^2*n^3*x*x^m*x^n*e^m + 2088*B*a^3*c^2*m*n^4*x*x^m*x^n*e^m + 6264*A*a^2*b*c^2*m*n^4*x*x^m*x^n*e^m + 4176*A*a^3*c*d*m*n^4*x*x^m*x^n*e^m + 720*B*a^3*c^2*n^5*x*x^m*x^n*e^m + 2160*A*a^2*b*c^2*n^5*x*x^m*x^n*e^m + 1440*A*a^3*c*d*n^5*x*x^m*x^n*e^m + 6*A*a^3*c^2*m^5*x*x^m*e^m + 105*A*a^3*c^2*m^4*n*x*x^m*e^m + 700*A*a^3*c^2*m^3*n^2*x*x^m*e^m + 2205*A*a^3*c^2*m^2*n^3*x*x^m*e^m + 3248*A*a^3*c^2*m*n^4*x*x^m*e^m + 1764*A*a^3*c^2*n^5*x*x^m*e^m + 15*B*b^3*d^2*m^4*x*x^m*x^(6*n)*e^m + 150*B*b^3*d^2*m^3*n*x*x^m*x^(6*n)*e^m + 510*B*b^3*d^2*m^2*n^2*x*x^m*x^(6*n)*e^m + 675*B*b^3*d^2*m*n^3*x*x^m*x^(6*n)*e^m + 274*B*b^3*d^2*n^4*x*x^m*x^(6*n)*e^m + 30*B*b^3*c*d*m^4*x*x^m*x^(5*n)*e^m + 45*B*a*b^2*d^2*m^4*x*x^m*x^(5*n)*e^m + 15*A*b^3*d^2*m^4*x*x^m*x^(5*n)*e^m + 320*B*b^3*c*d*m^3*n*x*x^m*x^(5*n)*e^m + 480*B*a*b^2*d^2*m^3*n*x*x^m*x^(5*n)*e^m + 160*A*b^3*d^2*m^3*n*x*x^m*x^(5*n)*e^m + 1140*B*b^3*c*d*m^2*n^2*x*x^m*x^(5*n)*e^m + 1710*B*a*b^2*d^2*m^2*n^2*x*x^m*x^(5*n)*e^m + 570*A*b^3*d^2*m^2*n^2*x*x^m*x^(5*n)*e^m + 1560*B*b^3*c*d*m*n^3*x*x^m*x^(5*n)*e^m + 2340*B*a*b^2*d^2*m*n^3*x*x^m*x^(5*n)*e^m + 780*A*b^3*d^2*m*n^3*x*x^m*x^(5*n)*e^m + 648*B*b^3*c*d*n^4*x*x^m*x^(5*n)*e^m + 972*B*a*b^2*d^2*n^4*x*x^m*x^(5*n)*e^m + 324*A*b^3*d^2*n^4*x*x^m*x^(5*n)*e^m + 15*B*b^3*c^2*m^4*x*x^m*x^(4*n)*e^m + 90*B*a*b^2*c*d*m^4*x*x^m*x^(4*n)*e^m + 30*A*b^3*c*d*m^4*x*x^m*x^(4*n)*e^m + 45*B*a^2*b*d^2*m^4*x*x^m*x^(4*n)*e^m + 45*A*a*b^2*d^2*m^4*x*x^m*x^(4*n)*e^m + 170*B*b^3*c^2*m^3*n*x*x^m*x^(4*n)*e^m + 1020*B*a*b^2*c*d*m^3*n*x*x^m*x^(4*n)*e^m + 340*A*b^3*c*d*m^3*n*x*x^m*x^(4*n)*e^m + 510*B*a^2*b*d^2*m^3*n*x*x^m*x^(4*n)*e^m + 510*A*a*b^2*d^2*m^3*n*x*x^m*x^(4*n)*e^m + 642*B*b^3*c^2*m^2*n^2*x*x^m*x^(4*n)*e^m + 3852*B*a*b^2*c*d*m^2*n^2*x*x^m*x^(4*n)*e^m + 1284*A*b^3*c*d*m^2*n^2*x*x^m*x^(4*n)*e^m + 1926*B*a^2*b*d^2*m^2*n^2*x*x^m*x^(4*n)*e^m + 1926*A*a*b^2*d^2*m^2*n^2*x*x^m*x^(4*n)*e^m + 921*B*b^3*c^2*m*n^3*x*x^m*x^(4*n)*e^m + 5526*B*a*b^2*c*d*m*n^3*x*x^m*x^(4*n)*e^m + 1842*A*b^3*c*d*m*n^3*x*x^m*x^(4*n)*e^m + 2763*B*a^2*b*d^2*m*n^3*x*x^m*x^(4*n)*e^m + 2763*A*a*b^2*d^2*m*n^3*x*x^m*x^(4*n)*e^m + 396*B*b^3*c^2*n^4*x*x^m*x^(4*n)*e^m + 2376*B*a*b^2*c*d*n^4*x*x^m*x^(4*n)*e^m + 792*A*b^3*c*d*n^4*x*x^m*x^(4*n)*e^m + 1188*B*a^2*b*d^2*n^4*x*x^m*x^(4*n)*e^m + 1188*A*a*b^2*d^2*n^4*x*x^m*x^(4*n)*e^m + 45*B*a*b^2*c^2*m^4*x*x^m*x^(3*n)*e^m + 15*A*b^3*c^2*m^4*x*x^m*x^(3*n)*e^m + 90*B*a^2*b*c*d*m^4*x*x^m*x^(3*n)*e^m + 90*A*a*b^2*c*d*m^4*x*x^m*x^(3*n)*e^m + 15*B*a^3*d^2*m^4*x*x^m*x^(3*n)*e^m + 45*A*a^2*b*d^2*m^4*x*x^m*x^(3*n)*e^m + 540*B*a*b^2*c^2*m^3*n*x*x^m*x^(3*n)*e^m + 180*A*b^3*c^2*m^3*n*x*x^m*x^(3*n)*e^m + 1080*B*a^2*b*c*d*m^3*n*x*x^m*x^(3*n)*e^m + 1080*A*a*b^2*c*d*m^3*n*x*x^m*x^(3*n)*e^m + 180*B*a^3*d^2*m^3*n*x*x^m*x^(3*n)*e^m + 540*A*a^2*b*d^2*m^3*n*x*x^m*x^(3*n)*e^m + 2178*B*a*b^2*c^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 726*A*b^3*c^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 4356*B*a^2*b*c*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 4356*A*a*b^2*c*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 726*B*a^3*d^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 2178*A*a^2*b*d^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 3348*B*a*b^2*c^2*m*n^3*x*x^m*x^(3*n)*e^m + 1116*A*b^3*c^2*m*n^3*x*x^m*x^(3*n)*e^m + 6696*B*a^2*b*c*d*m*n^3*x*x^m*x^(3*n)*e^m + 6696*A*a*b^2*c*d*m*n^3*x*x^m*x^(3*n)*e^m + 1116*B*a^3*d^2*m*n^3*x*x^m*x^(3*n)*e^m + 3348*A*a^2*b*d^2*m*n^3*x*x^m*x^(3*n)*e^m + 1524*B*a*b^2*c^2*n^4*x*x^m*x^(3*n)*e^m + 508*A*b^3*c^2*n^4*x*x^m*x^(3*n)*e^m + 3048*B*a^2*b*c*d*n^4*x*x^m*x^(3*n)*e^m + 3048*A*a*b^2*c*d*n^4*x*x^m*x^(3*n)*e^m + 508*B*a^3*d^2*n^4*x*x^m*x^(3*n)*e^m + 1524*A*a^2*b*d^2*n^4*x*x^m*x^(3*n)*e^m + 45*B*a^2*b*c^2*m^4*x*x^m*x^(2*n)*e^m + 45*A*a*b^2*c^2*m^4*x*x^m*x^(2*n)*e^m + 30*B*a^3*c*d*m^4*x*x^m*x^(2*n)*e^m + 90*A*a^2*b*c*d*m^4*x*x^m*x^(2*n)*e^m + 15*A*a^3*d^2*m^4*x*x^m*x^(2*n)*e^m + 570*B*a^2*b*c^2*m^3*n*x*x^m*x^(2*n)*e^m + 570*A*a*b^2*c^2*m^3*n*x*x^m*x^(2*n)*e^m + 380*B*a^3*c*d*m^3*n*x*x^m*x^(2*n)*e^m + 1140*A*a^2*b*c*d*m^3*n*x*x^m*x^(2*n)*e^m + 190*A*a^3*d^2*m^3*n*x*x^m*x^(2*n)*e^m + 2466*B*a^2*b*c^2*m^2*n^2*x*x^m*x^(2*n)*e^m + 2466*A*a*b^2*c^2*m^2*n^2*x*x^m*x^(2*n)*e^m + 1644*B*a^3*c*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 4932*A*a^2*b*c*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 822*A*a^3*d^2*m^2*n^2*x*x^m*x^(2*n)*e^m + 4149*B*a^2*b*c^2*m*n^3*x*x^m*x^(2*n)*e^m + 4149*A*a*b^2*c^2*m*n^3*x*x^m*x^(2*n)*e^m + 2766*B*a^3*c*d*m*n^3*x*x^m*x^(2*n)*e^m + 8298*A*a^2*b*c*d*m*n^3*x*x^m*x^(2*n)*e^m + 1383*A*a^3*d^2*m*n^3*x*x^m*x^(2*n)*e^m + 2106*B*a^2*b*c^2*n^4*x*x^m*x^(2*n)*e^m + 2106*A*a*b^2*c^2*n^4*x*x^m*x^(2*n)*e^m + 1404*B*a^3*c*d*n^4*x*x^m*x^(2*n)*e^m + 4212*A*a^2*b*c*d*n^4*x*x^m*x^(2*n)*e^m + 702*A*a^3*d^2*n^4*x*x^m*x^(2*n)*e^m + 15*B*a^3*c^2*m^4*x*x^m*x^n*e^m + 45*A*a^2*b*c^2*m^4*x*x^m*x^n*e^m + 30*A*a^3*c*d*m^4*x*x^m*x^n*e^m + 200*B*a^3*c^2*m^3*n*x*x^m*x^n*e^m + 600*A*a^2*b*c^2*m^3*n*x*x^m*x^n*e^m + 400*A*a^3*c*d*m^3*n*x*x^m*x^n*e^m + 930*B*a^3*c^2*m^2*n^2*x*x^m*x^n*e^m + 2790*A*a^2*b*c^2*m^2*n^2*x*x^m*x^n*e^m + 1860*A*a^3*c*d*m^2*n^2*x*x^m*x^n*e^m + 1740*B*a^3*c^2*m*n^3*x*x^m*x^n*e^m + 5220*A*a^2*b*c^2*m*n^3*x*x^m*x^n*e^m + 3480*A*a^3*c*d*m*n^3*x*x^m*x^n*e^m + 1044*B*a^3*c^2*n^4*x*x^m*x^n*e^m + 3132*A*a^2*b*c^2*n^4*x*x^m*x^n*e^m + 2088*A*a^3*c*d*n^4*x*x^m*x^n*e^m + 15*A*a^3*c^2*m^4*x*x^m*e^m + 210*A*a^3*c^2*m^3*n*x*x^m*e^m + 1050*A*a^3*c^2*m^2*n^2*x*x^m*e^m + 2205*A*a^3*c^2*m*n^3*x*x^m*e^m + 1624*A*a^3*c^2*n^4*x*x^m*e^m + 20*B*b^3*d^2*m^3*x*x^m*x^(6*n)*e^m + 150*B*b^3*d^2*m^2*n*x*x^m*x^(6*n)*e^m + 340*B*b^3*d^2*m*n^2*x*x^m*x^(6*n)*e^m + 225*B*b^3*d^2*n^3*x*x^m*x^(6*n)*e^m + 40*B*b^3*c*d*m^3*x*x^m*x^(5*n)*e^m + 60*B*a*b^2*d^2*m^3*x*x^m*x^(5*n)*e^m + 20*A*b^3*d^2*m^3*x*x^m*x^(5*n)*e^m + 320*B*b^3*c*d*m^2*n*x*x^m*x^(5*n)*e^m + 480*B*a*b^2*d^2*m^2*n*x*x^m*x^(5*n)*e^m + 160*A*b^3*d^2*m^2*n*x*x^m*x^(5*n)*e^m + 760*B*b^3*c*d*m*n^2*x*x^m*x^(5*n)*e^m + 1140*B*a*b^2*d^2*m*n^2*x*x^m*x^(5*n)*e^m + 380*A*b^3*d^2*m*n^2*x*x^m*x^(5*n)*e^m + 520*B*b^3*c*d*n^3*x*x^m*x^(5*n)*e^m + 780*B*a*b^2*d^2*n^3*x*x^m*x^(5*n)*e^m + 260*A*b^3*d^2*n^3*x*x^m*x^(5*n)*e^m + 20*B*b^3*c^2*m^3*x*x^m*x^(4*n)*e^m + 120*B*a*b^2*c*d*m^3*x*x^m*x^(4*n)*e^m + 40*A*b^3*c*d*m^3*x*x^m*x^(4*n)*e^m + 60*B*a^2*b*d^2*m^3*x*x^m*x^(4*n)*e^m + 60*A*a*b^2*d^2*m^3*x*x^m*x^(4*n)*e^m + 170*B*b^3*c^2*m^2*n*x*x^m*x^(4*n)*e^m + 1020*B*a*b^2*c*d*m^2*n*x*x^m*x^(4*n)*e^m + 340*A*b^3*c*d*m^2*n*x*x^m*x^(4*n)*e^m + 510*B*a^2*b*d^2*m^2*n*x*x^m*x^(4*n)*e^m + 510*A*a*b^2*d^2*m^2*n*x*x^m*x^(4*n)*e^m + 428*B*b^3*c^2*m*n^2*x*x^m*x^(4*n)*e^m + 2568*B*a*b^2*c*d*m*n^2*x*x^m*x^(4*n)*e^m + 856*A*b^3*c*d*m*n^2*x*x^m*x^(4*n)*e^m + 1284*B*a^2*b*d^2*m*n^2*x*x^m*x^(4*n)*e^m 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1116*B*a*b^2*c^2*n^3*x*x^m*x^(3*n)*e^m + 372*A*b^3*c^2*n^3*x*x^m*x^(3*n)*e^m + 2232*B*a^2*b*c*d*n^3*x*x^m*x^(3*n)*e^m + 2232*A*a*b^2*c*d*n^3*x*x^m*x^(3*n)*e^m + 372*B*a^3*d^2*n^3*x*x^m*x^(3*n)*e^m + 1116*A*a^2*b*d^2*n^3*x*x^m*x^(3*n)*e^m + 60*B*a^2*b*c^2*m^3*x*x^m*x^(2*n)*e^m + 60*A*a*b^2*c^2*m^3*x*x^m*x^(2*n)*e^m + 40*B*a^3*c*d*m^3*x*x^m*x^(2*n)*e^m + 120*A*a^2*b*c*d*m^3*x*x^m*x^(2*n)*e^m + 20*A*a^3*d^2*m^3*x*x^m*x^(2*n)*e^m + 570*B*a^2*b*c^2*m^2*n*x*x^m*x^(2*n)*e^m + 570*A*a*b^2*c^2*m^2*n*x*x^m*x^(2*n)*e^m + 380*B*a^3*c*d*m^2*n*x*x^m*x^(2*n)*e^m + 1140*A*a^2*b*c*d*m^2*n*x*x^m*x^(2*n)*e^m + 190*A*a^3*d^2*m^2*n*x*x^m*x^(2*n)*e^m + 1644*B*a^2*b*c^2*m*n^2*x*x^m*x^(2*n)*e^m + 1644*A*a*b^2*c^2*m*n^2*x*x^m*x^(2*n)*e^m + 1096*B*a^3*c*d*m*n^2*x*x^m*x^(2*n)*e^m + 3288*A*a^2*b*c*d*m*n^2*x*x^m*x^(2*n)*e^m + 548*A*a^3*d^2*m*n^2*x*x^m*x^(2*n)*e^m + 1383*B*a^2*b*c^2*n^3*x*x^m*x^(2*n)*e^m + 1383*A*a*b^2*c^2*n^3*x*x^m*x^(2*n)*e^m + 922*B*a^3*c*d*n^3*x*x^m*x^(2*n)*e^m + 2766*A*a^2*b*c*d*n^3*x*x^m*x^(2*n)*e^m + 461*A*a^3*d^2*n^3*x*x^m*x^(2*n)*e^m + 20*B*a^3*c^2*m^3*x*x^m*x^n*e^m + 60*A*a^2*b*c^2*m^3*x*x^m*x^n*e^m + 40*A*a^3*c*d*m^3*x*x^m*x^n*e^m + 200*B*a^3*c^2*m^2*n*x*x^m*x^n*e^m + 600*A*a^2*b*c^2*m^2*n*x*x^m*x^n*e^m + 400*A*a^3*c*d*m^2*n*x*x^m*x^n*e^m + 620*B*a^3*c^2*m*n^2*x*x^m*x^n*e^m + 1860*A*a^2*b*c^2*m*n^2*x*x^m*x^n*e^m + 1240*A*a^3*c*d*m*n^2*x*x^m*x^n*e^m + 580*B*a^3*c^2*n^3*x*x^m*x^n*e^m + 1740*A*a^2*b*c^2*n^3*x*x^m*x^n*e^m + 1160*A*a^3*c*d*n^3*x*x^m*x^n*e^m + 20*A*a^3*c^2*m^3*x*x^m*e^m + 210*A*a^3*c^2*m^2*n*x*x^m*e^m + 700*A*a^3*c^2*m*n^2*x*x^m*e^m + 735*A*a^3*c^2*n^3*x*x^m*e^m + 15*B*b^3*d^2*m^2*x*x^m*x^(6*n)*e^m + 75*B*b^3*d^2*m*n*x*x^m*x^(6*n)*e^m + 85*B*b^3*d^2*n^2*x*x^m*x^(6*n)*e^m + 30*B*b^3*c*d*m^2*x*x^m*x^(5*n)*e^m + 45*B*a*b^2*d^2*m^2*x*x^m*x^(5*n)*e^m + 15*A*b^3*d^2*m^2*x*x^m*x^(5*n)*e^m + 160*B*b^3*c*d*m*n*x*x^m*x^(5*n)*e^m + 240*B*a*b^2*d^2*m*n*x*x^m*x^(5*n)*e^m + 80*A*b^3*d^2*m*n*x*x^m*x^(5*n)*e^m + 190*B*b^3*c*d*n^2*x*x^m*x^(5*n)*e^m + 285*B*a*b^2*d^2*n^2*x*x^m*x^(5*n)*e^m + 95*A*b^3*d^2*n^2*x*x^m*x^(5*n)*e^m + 15*B*b^3*c^2*m^2*x*x^m*x^(4*n)*e^m + 90*B*a*b^2*c*d*m^2*x*x^m*x^(4*n)*e^m + 30*A*b^3*c*d*m^2*x*x^m*x^(4*n)*e^m + 45*B*a^2*b*d^2*m^2*x*x^m*x^(4*n)*e^m + 45*A*a*b^2*d^2*m^2*x*x^m*x^(4*n)*e^m + 85*B*b^3*c^2*m*n*x*x^m*x^(4*n)*e^m + 510*B*a*b^2*c*d*m*n*x*x^m*x^(4*n)*e^m + 170*A*b^3*c*d*m*n*x*x^m*x^(4*n)*e^m + 255*B*a^2*b*d^2*m*n*x*x^m*x^(4*n)*e^m + 255*A*a*b^2*d^2*m*n*x*x^m*x^(4*n)*e^m + 107*B*b^3*c^2*n^2*x*x^m*x^(4*n)*e^m + 642*B*a*b^2*c*d*n^2*x*x^m*x^(4*n)*e^m + 214*A*b^3*c*d*n^2*x*x^m*x^(4*n)*e^m + 321*B*a^2*b*d^2*n^2*x*x^m*x^(4*n)*e^m + 321*A*a*b^2*d^2*n^2*x*x^m*x^(4*n)*e^m + 45*B*a*b^2*c^2*m^2*x*x^m*x^(3*n)*e^m + 15*A*b^3*c^2*m^2*x*x^m*x^(3*n)*e^m + 90*B*a^2*b*c*d*m^2*x*x^m*x^(3*n)*e^m + 90*A*a*b^2*c*d*m^2*x*x^m*x^(3*n)*e^m + 15*B*a^3*d^2*m^2*x*x^m*x^(3*n)*e^m + 45*A*a^2*b*d^2*m^2*x*x^m*x^(3*n)*e^m + 270*B*a*b^2*c^2*m*n*x*x^m*x^(3*n)*e^m + 90*A*b^3*c^2*m*n*x*x^m*x^(3*n)*e^m + 540*B*a^2*b*c*d*m*n*x*x^m*x^(3*n)*e^m + 540*A*a*b^2*c*d*m*n*x*x^m*x^(3*n)*e^m + 90*B*a^3*d^2*m*n*x*x^m*x^(3*n)*e^m + 270*A*a^2*b*d^2*m*n*x*x^m*x^(3*n)*e^m + 363*B*a*b^2*c^2*n^2*x*x^m*x^(3*n)*e^m + 121*A*b^3*c^2*n^2*x*x^m*x^(3*n)*e^m + 726*B*a^2*b*c*d*n^2*x*x^m*x^(3*n)*e^m + 726*A*a*b^2*c*d*n^2*x*x^m*x^(3*n)*e^m + 121*B*a^3*d^2*n^2*x*x^m*x^(3*n)*e^m + 363*A*a^2*b*d^2*n^2*x*x^m*x^(3*n)*e^m + 45*B*a^2*b*c^2*m^2*x*x^m*x^(2*n)*e^m + 45*A*a*b^2*c^2*m^2*x*x^m*x^(2*n)*e^m + 30*B*a^3*c*d*m^2*x*x^m*x^(2*n)*e^m + 90*A*a^2*b*c*d*m^2*x*x^m*x^(2*n)*e^m + 15*A*a^3*d^2*m^2*x*x^m*x^(2*n)*e^m + 285*B*a^2*b*c^2*m*n*x*x^m*x^(2*n)*e^m + 285*A*a*b^2*c^2*m*n*x*x^m*x^(2*n)*e^m + 190*B*a^3*c*d*m*n*x*x^m*x^(2*n)*e^m + 570*A*a^2*b*c*d*m*n*x*x^m*x^(2*n)*e^m + 95*A*a^3*d^2*m*n*x*x^m*x^(2*n)*e^m + 411*B*a^2*b*c^2*n^2*x*x^m*x^(2*n)*e^m + 411*A*a*b^2*c^2*n^2*x*x^m*x^(2*n)*e^m + 274*B*a^3*c*d*n^2*x*x^m*x^(2*n)*e^m + 822*A*a^2*b*c*d*n^2*x*x^m*x^(2*n)*e^m + 137*A*a^3*d^2*n^2*x*x^m*x^(2*n)*e^m + 15*B*a^3*c^2*m^2*x*x^m*x^n*e^m + 45*A*a^2*b*c^2*m^2*x*x^m*x^n*e^m + 30*A*a^3*c*d*m^2*x*x^m*x^n*e^m + 100*B*a^3*c^2*m*n*x*x^m*x^n*e^m + 300*A*a^2*b*c^2*m*n*x*x^m*x^n*e^m + 200*A*a^3*c*d*m*n*x*x^m*x^n*e^m + 155*B*a^3*c^2*n^2*x*x^m*x^n*e^m + 465*A*a^2*b*c^2*n^2*x*x^m*x^n*e^m + 310*A*a^3*c*d*n^2*x*x^m*x^n*e^m + 15*A*a^3*c^2*m^2*x*x^m*e^m + 105*A*a^3*c^2*m*n*x*x^m*e^m + 175*A*a^3*c^2*n^2*x*x^m*e^m + 6*B*b^3*d^2*m*x*x^m*x^(6*n)*e^m + 15*B*b^3*d^2*n*x*x^m*x^(6*n)*e^m + 12*B*b^3*c*d*m*x*x^m*x^(5*n)*e^m + 18*B*a*b^2*d^2*m*x*x^m*x^(5*n)*e^m + 6*A*b^3*d^2*m*x*x^m*x^(5*n)*e^m + 32*B*b^3*c*d*n*x*x^m*x^(5*n)*e^m + 48*B*a*b^2*d^2*n*x*x^m*x^(5*n)*e^m + 16*A*b^3*d^2*n*x*x^m*x^(5*n)*e^m + 6*B*b^3*c^2*m*x*x^m*x^(4*n)*e^m + 36*B*a*b^2*c*d*m*x*x^m*x^(4*n)*e^m + 12*A*b^3*c*d*m*x*x^m*x^(4*n)*e^m + 18*B*a^2*b*d^2*m*x*x^m*x^(4*n)*e^m + 18*A*a*b^2*d^2*m*x*x^m*x^(4*n)*e^m + 17*B*b^3*c^2*n*x*x^m*x^(4*n)*e^m + 102*B*a*b^2*c*d*n*x*x^m*x^(4*n)*e^m + 34*A*b^3*c*d*n*x*x^m*x^(4*n)*e^m + 51*B*a^2*b*d^2*n*x*x^m*x^(4*n)*e^m + 51*A*a*b^2*d^2*n*x*x^m*x^(4*n)*e^m + 18*B*a*b^2*c^2*m*x*x^m*x^(3*n)*e^m + 6*A*b^3*c^2*m*x*x^m*x^(3*n)*e^m + 36*B*a^2*b*c*d*m*x*x^m*x^(3*n)*e^m + 36*A*a*b^2*c*d*m*x*x^m*x^(3*n)*e^m + 6*B*a^3*d^2*m*x*x^m*x^(3*n)*e^m + 18*A*a^2*b*d^2*m*x*x^m*x^(3*n)*e^m + 54*B*a*b^2*c^2*n*x*x^m*x^(3*n)*e^m + 18*A*b^3*c^2*n*x*x^m*x^(3*n)*e^m + 108*B*a^2*b*c*d*n*x*x^m*x^(3*n)*e^m + 108*A*a*b^2*c*d*n*x*x^m*x^(3*n)*e^m + 18*B*a^3*d^2*n*x*x^m*x^(3*n)*e^m + 54*A*a^2*b*d^2*n*x*x^m*x^(3*n)*e^m + 18*B*a^2*b*c^2*m*x*x^m*x^(2*n)*e^m + 18*A*a*b^2*c^2*m*x*x^m*x^(2*n)*e^m + 12*B*a^3*c*d*m*x*x^m*x^(2*n)*e^m + 36*A*a^2*b*c*d*m*x*x^m*x^(2*n)*e^m + 6*A*a^3*d^2*m*x*x^m*x^(2*n)*e^m + 57*B*a^2*b*c^2*n*x*x^m*x^(2*n)*e^m + 57*A*a*b^2*c^2*n*x*x^m*x^(2*n)*e^m + 38*B*a^3*c*d*n*x*x^m*x^(2*n)*e^m + 114*A*a^2*b*c*d*n*x*x^m*x^(2*n)*e^m + 19*A*a^3*d^2*n*x*x^m*x^(2*n)*e^m + 6*B*a^3*c^2*m*x*x^m*x^n*e^m + 18*A*a^2*b*c^2*m*x*x^m*x^n*e^m + 12*A*a^3*c*d*m*x*x^m*x^n*e^m + 20*B*a^3*c^2*n*x*x^m*x^n*e^m + 60*A*a^2*b*c^2*n*x*x^m*x^n*e^m + 40*A*a^3*c*d*n*x*x^m*x^n*e^m + 6*A*a^3*c^2*m*x*x^m*e^m + 21*A*a^3*c^2*n*x*x^m*e^m + B*b^3*d^2*x*x^m*x^(6*n)*e^m + 2*B*b^3*c*d*x*x^m*x^(5*n)*e^m + 3*B*a*b^2*d^2*x*x^m*x^(5*n)*e^m + A*b^3*d^2*x*x^m*x^(5*n)*e^m + B*b^3*c^2*x*x^m*x^(4*n)*e^m + 6*B*a*b^2*c*d*x*x^m*x^(4*n)*e^m + 2*A*b^3*c*d*x*x^m*x^(4*n)*e^m + 3*B*a^2*b*d^2*x*x^m*x^(4*n)*e^m + 3*A*a*b^2*d^2*x*x^m*x^(4*n)*e^m + 3*B*a*b^2*c^2*x*x^m*x^(3*n)*e^m + A*b^3*c^2*x*x^m*x^(3*n)*e^m + 6*B*a^2*b*c*d*x*x^m*x^(3*n)*e^m + 6*A*a*b^2*c*d*x*x^m*x^(3*n)*e^m + B*a^3*d^2*x*x^m*x^(3*n)*e^m + 3*A*a^2*b*d^2*x*x^m*x^(3*n)*e^m + 3*B*a^2*b*c^2*x*x^m*x^(2*n)*e^m + 3*A*a*b^2*c^2*x*x^m*x^(2*n)*e^m + 2*B*a^3*c*d*x*x^m*x^(2*n)*e^m + 6*A*a^2*b*c*d*x*x^m*x^(2*n)*e^m + A*a^3*d^2*x*x^m*x^(2*n)*e^m + B*a^3*c^2*x*x^m*x^n*e^m + 3*A*a^2*b*c^2*x*x^m*x^n*e^m + 2*A*a^3*c*d*x*x^m*x^n*e^m + A*a^3*c^2*x*x^m*e^m)/(m^7 + 21*m^6*n + 175*m^5*n^2 + 735*m^4*n^3 + 1624*m^3*n^4 + 1764*m^2*n^5 + 720*m*n^6 + 7*m^6 + 126*m^5*n + 875*m^4*n^2 + 2940*m^3*n^3 + 4872*m^2*n^4 + 3528*m*n^5 + 720*n^6 + 21*m^5 + 315*m^4*n + 1750*m^3*n^2 + 4410*m^2*n^3 + 4872*m*n^4 + 1764*n^5 + 35*m^4 + 420*m^3*n + 1750*m^2*n^2 + 2940*m*n^3 + 1624*n^4 + 35*m^3 + 315*m^2*n + 875*m*n^2 + 735*n^3 + 21*m^2 + 126*m*n + 175*n^2 + 7*m + 21*n + 1)","B",0
9,1,8103,0,2.005587," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)*(c+d*x^n)^2,x, algorithm=""giac"")","\frac{B b^{2} d^{2} m^{5} x x^{m} x^{5 \, n} e^{m} + 10 \, B b^{2} d^{2} m^{4} n x x^{m} x^{5 \, n} e^{m} + 35 \, B b^{2} d^{2} m^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 50 \, B b^{2} d^{2} m^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 24 \, B b^{2} d^{2} m n^{4} x x^{m} x^{5 \, n} e^{m} + 2 \, B b^{2} c d m^{5} x x^{m} x^{4 \, n} e^{m} + 2 \, B a b d^{2} m^{5} x x^{m} x^{4 \, n} e^{m} + A b^{2} d^{2} m^{5} x x^{m} x^{4 \, n} e^{m} + 22 \, B b^{2} c d m^{4} n x x^{m} x^{4 \, n} e^{m} + 22 \, B a b d^{2} m^{4} n x x^{m} x^{4 \, n} e^{m} + 11 \, A b^{2} d^{2} m^{4} n x x^{m} x^{4 \, n} e^{m} + 82 \, B b^{2} c d m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 82 \, B a b d^{2} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 41 \, A b^{2} d^{2} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 122 \, B b^{2} c d m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 122 \, B a b d^{2} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 61 \, A b^{2} d^{2} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 60 \, B b^{2} c d m n^{4} x x^{m} x^{4 \, n} e^{m} + 60 \, B a b d^{2} m n^{4} x x^{m} x^{4 \, n} e^{m} + 30 \, A b^{2} d^{2} m n^{4} x x^{m} x^{4 \, n} e^{m} + B b^{2} c^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + 4 \, B a b c d m^{5} x x^{m} x^{3 \, n} e^{m} + 2 \, A b^{2} c d m^{5} x x^{m} x^{3 \, n} e^{m} + B a^{2} d^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + 2 \, A a b d^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + 12 \, B b^{2} c^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 48 \, B a b c d m^{4} n x x^{m} x^{3 \, n} e^{m} + 24 \, A b^{2} c d m^{4} n x x^{m} x^{3 \, n} e^{m} + 12 \, B a^{2} d^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 24 \, A a b d^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 49 \, B b^{2} c^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 196 \, B a b c d m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 98 \, A b^{2} c d m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 49 \, B a^{2} d^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 98 \, A a b d^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 78 \, B b^{2} c^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 312 \, B a b c d m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 156 \, A b^{2} c d m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 78 \, B a^{2} d^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 156 \, A a b d^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 40 \, B b^{2} c^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 160 \, B a b c d m n^{4} x x^{m} x^{3 \, n} e^{m} + 80 \, A b^{2} c d m n^{4} x x^{m} x^{3 \, n} e^{m} + 40 \, B a^{2} d^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 80 \, A a b d^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 2 \, B a b c^{2} m^{5} x x^{m} x^{2 \, n} e^{m} + A b^{2} c^{2} m^{5} x x^{m} x^{2 \, n} e^{m} + 2 \, B a^{2} c d m^{5} x x^{m} x^{2 \, n} e^{m} + 4 \, A a b c d m^{5} x x^{m} x^{2 \, n} e^{m} + A a^{2} d^{2} m^{5} x x^{m} x^{2 \, n} e^{m} + 26 \, B a b c^{2} m^{4} n x x^{m} x^{2 \, n} e^{m} + 13 \, A b^{2} c^{2} m^{4} n x x^{m} x^{2 \, n} e^{m} + 26 \, B a^{2} c d m^{4} n x x^{m} x^{2 \, n} e^{m} + 52 \, A a b c d m^{4} n x x^{m} x^{2 \, n} e^{m} + 13 \, A a^{2} d^{2} m^{4} n x x^{m} x^{2 \, n} e^{m} + 118 \, B a b c^{2} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 59 \, A b^{2} c^{2} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 118 \, B a^{2} c d m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 236 \, A a b c d m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 59 \, A a^{2} d^{2} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 214 \, B a b c^{2} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 107 \, A b^{2} c^{2} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 214 \, B a^{2} c d m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 428 \, A a b c d m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 107 \, A a^{2} d^{2} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 120 \, B a b c^{2} m n^{4} x x^{m} x^{2 \, n} e^{m} + 60 \, A b^{2} c^{2} m n^{4} x x^{m} x^{2 \, n} e^{m} + 120 \, B a^{2} c d m n^{4} x x^{m} x^{2 \, n} e^{m} + 240 \, A a b c d m n^{4} x x^{m} x^{2 \, n} e^{m} + 60 \, A a^{2} d^{2} m n^{4} x x^{m} x^{2 \, n} e^{m} + B a^{2} c^{2} m^{5} x x^{m} x^{n} e^{m} + 2 \, A a b c^{2} m^{5} x x^{m} x^{n} e^{m} + 2 \, A a^{2} c d m^{5} x x^{m} x^{n} e^{m} + 14 \, B a^{2} c^{2} m^{4} n x x^{m} x^{n} e^{m} + 28 \, A a b c^{2} m^{4} n x x^{m} x^{n} e^{m} + 28 \, A a^{2} c d m^{4} n x x^{m} x^{n} e^{m} + 71 \, B a^{2} c^{2} m^{3} n^{2} x x^{m} x^{n} e^{m} + 142 \, A a b c^{2} m^{3} n^{2} x x^{m} x^{n} e^{m} + 142 \, A a^{2} c d m^{3} n^{2} x x^{m} x^{n} e^{m} + 154 \, B a^{2} c^{2} m^{2} n^{3} x x^{m} x^{n} e^{m} + 308 \, A a b c^{2} m^{2} n^{3} x x^{m} x^{n} e^{m} + 308 \, A a^{2} c d m^{2} n^{3} x x^{m} x^{n} e^{m} + 120 \, B a^{2} c^{2} m n^{4} x x^{m} x^{n} e^{m} + 240 \, A a b c^{2} m n^{4} x x^{m} x^{n} e^{m} + 240 \, A a^{2} c d m n^{4} x x^{m} x^{n} e^{m} + A a^{2} c^{2} m^{5} x x^{m} e^{m} + 15 \, A a^{2} c^{2} m^{4} n x x^{m} e^{m} + 85 \, A a^{2} c^{2} m^{3} n^{2} x x^{m} e^{m} + 225 \, A a^{2} c^{2} m^{2} n^{3} x x^{m} e^{m} + 274 \, A a^{2} c^{2} m n^{4} x x^{m} e^{m} + 120 \, A a^{2} c^{2} n^{5} x x^{m} e^{m} + 5 \, B b^{2} d^{2} m^{4} x x^{m} x^{5 \, n} e^{m} + 40 \, B b^{2} d^{2} m^{3} n x x^{m} x^{5 \, n} e^{m} + 105 \, B b^{2} d^{2} m^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 100 \, B b^{2} d^{2} m n^{3} x x^{m} x^{5 \, n} e^{m} + 24 \, B b^{2} d^{2} n^{4} x x^{m} x^{5 \, n} e^{m} + 10 \, B b^{2} c d m^{4} x x^{m} x^{4 \, n} e^{m} + 10 \, B a b d^{2} m^{4} x x^{m} x^{4 \, n} e^{m} + 5 \, A b^{2} d^{2} m^{4} x x^{m} x^{4 \, n} e^{m} + 88 \, B b^{2} c d m^{3} n x x^{m} x^{4 \, n} e^{m} + 88 \, B a b d^{2} m^{3} n x x^{m} x^{4 \, n} e^{m} + 44 \, A b^{2} d^{2} m^{3} n x x^{m} x^{4 \, n} e^{m} + 246 \, B b^{2} c d m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 246 \, B a b d^{2} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 123 \, A b^{2} d^{2} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 244 \, B b^{2} c d m n^{3} x x^{m} x^{4 \, n} e^{m} + 244 \, B a b d^{2} m n^{3} x x^{m} x^{4 \, n} e^{m} + 122 \, A b^{2} d^{2} m n^{3} x x^{m} x^{4 \, n} e^{m} + 60 \, B b^{2} c d n^{4} x x^{m} x^{4 \, n} e^{m} + 60 \, B a b d^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 30 \, A b^{2} d^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 5 \, B b^{2} c^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 20 \, B a b c d m^{4} x x^{m} x^{3 \, n} e^{m} + 10 \, A b^{2} c d m^{4} x x^{m} x^{3 \, n} e^{m} + 5 \, B a^{2} d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 10 \, A a b d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 48 \, B b^{2} c^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 192 \, B a b c d m^{3} n x x^{m} x^{3 \, n} e^{m} + 96 \, A b^{2} c d m^{3} n x x^{m} x^{3 \, n} e^{m} + 48 \, B a^{2} d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 96 \, A a b d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 147 \, B b^{2} c^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 588 \, B a b c d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 294 \, A b^{2} c d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, B a^{2} d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 294 \, A a b d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 156 \, B b^{2} c^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} + 624 \, B a b c d m n^{3} x x^{m} x^{3 \, n} e^{m} + 312 \, A b^{2} c d m n^{3} x x^{m} x^{3 \, n} e^{m} + 156 \, B a^{2} d^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} + 312 \, A a b d^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} + 40 \, B b^{2} c^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 160 \, B a b c d n^{4} x x^{m} x^{3 \, n} e^{m} + 80 \, A b^{2} c d n^{4} x x^{m} x^{3 \, n} e^{m} + 40 \, B a^{2} d^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 80 \, A a b d^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 10 \, B a b c^{2} m^{4} x x^{m} x^{2 \, n} e^{m} + 5 \, A b^{2} c^{2} m^{4} x x^{m} x^{2 \, n} e^{m} + 10 \, B a^{2} c d m^{4} x x^{m} x^{2 \, n} e^{m} + 20 \, A a b c d m^{4} x x^{m} x^{2 \, n} e^{m} + 5 \, A a^{2} d^{2} m^{4} x x^{m} x^{2 \, n} e^{m} + 104 \, B a b c^{2} m^{3} n x x^{m} x^{2 \, n} e^{m} + 52 \, A b^{2} c^{2} m^{3} n x x^{m} x^{2 \, n} e^{m} + 104 \, B a^{2} c d m^{3} n x x^{m} x^{2 \, n} e^{m} + 208 \, A a b c d m^{3} n x x^{m} x^{2 \, n} e^{m} + 52 \, A a^{2} d^{2} m^{3} n x x^{m} x^{2 \, n} e^{m} + 354 \, B a b c^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A b^{2} c^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 354 \, B a^{2} c d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 708 \, A a b c d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A a^{2} d^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 428 \, B a b c^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + 214 \, A b^{2} c^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + 428 \, B a^{2} c d m n^{3} x x^{m} x^{2 \, n} e^{m} + 856 \, A a b c d m n^{3} x x^{m} x^{2 \, n} e^{m} + 214 \, A a^{2} d^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + 120 \, B a b c^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 60 \, A b^{2} c^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 120 \, B a^{2} c d n^{4} x x^{m} x^{2 \, n} e^{m} + 240 \, A a b c d n^{4} x x^{m} x^{2 \, n} e^{m} + 60 \, A a^{2} d^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 5 \, B a^{2} c^{2} m^{4} x x^{m} x^{n} e^{m} + 10 \, A a b c^{2} m^{4} x x^{m} x^{n} e^{m} + 10 \, A a^{2} c d m^{4} x x^{m} x^{n} e^{m} + 56 \, B a^{2} c^{2} m^{3} n x x^{m} x^{n} e^{m} + 112 \, A a b c^{2} m^{3} n x x^{m} x^{n} e^{m} + 112 \, A a^{2} c d m^{3} n x x^{m} x^{n} e^{m} + 213 \, B a^{2} c^{2} m^{2} n^{2} x x^{m} x^{n} e^{m} + 426 \, A a b c^{2} m^{2} n^{2} x x^{m} x^{n} e^{m} + 426 \, A a^{2} c d m^{2} n^{2} x x^{m} x^{n} e^{m} + 308 \, B a^{2} c^{2} m n^{3} x x^{m} x^{n} e^{m} + 616 \, A a b c^{2} m n^{3} x x^{m} x^{n} e^{m} + 616 \, A a^{2} c d m n^{3} x x^{m} x^{n} e^{m} + 120 \, B a^{2} c^{2} n^{4} x x^{m} x^{n} e^{m} + 240 \, A a b c^{2} n^{4} x x^{m} x^{n} e^{m} + 240 \, A a^{2} c d n^{4} x x^{m} x^{n} e^{m} + 5 \, A a^{2} c^{2} m^{4} x x^{m} e^{m} + 60 \, A a^{2} c^{2} m^{3} n x x^{m} e^{m} + 255 \, A a^{2} c^{2} m^{2} n^{2} x x^{m} e^{m} + 450 \, A a^{2} c^{2} m n^{3} x x^{m} e^{m} + 274 \, A a^{2} c^{2} n^{4} x x^{m} e^{m} + 10 \, B b^{2} d^{2} m^{3} x x^{m} x^{5 \, n} e^{m} + 60 \, B b^{2} d^{2} m^{2} n x x^{m} x^{5 \, n} e^{m} + 105 \, B b^{2} d^{2} m n^{2} x x^{m} x^{5 \, n} e^{m} + 50 \, B b^{2} d^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 20 \, B b^{2} c d m^{3} x x^{m} x^{4 \, n} e^{m} + 20 \, B a b d^{2} m^{3} x x^{m} x^{4 \, n} e^{m} + 10 \, A b^{2} d^{2} m^{3} x x^{m} x^{4 \, n} e^{m} + 132 \, B b^{2} c d m^{2} n x x^{m} x^{4 \, n} e^{m} + 132 \, B a b d^{2} m^{2} n x x^{m} x^{4 \, n} e^{m} + 66 \, A b^{2} d^{2} m^{2} n x x^{m} x^{4 \, n} e^{m} + 246 \, B b^{2} c d m n^{2} x x^{m} x^{4 \, n} e^{m} + 246 \, B a b d^{2} m n^{2} x x^{m} x^{4 \, n} e^{m} + 123 \, A b^{2} d^{2} m n^{2} x x^{m} x^{4 \, n} e^{m} + 122 \, B b^{2} c d n^{3} x x^{m} x^{4 \, n} e^{m} + 122 \, B a b d^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 61 \, A b^{2} d^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 10 \, B b^{2} c^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 40 \, B a b c d m^{3} x x^{m} x^{3 \, n} e^{m} + 20 \, A b^{2} c d m^{3} x x^{m} x^{3 \, n} e^{m} + 10 \, B a^{2} d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 20 \, A a b d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 72 \, B b^{2} c^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 288 \, B a b c d m^{2} n x x^{m} x^{3 \, n} e^{m} + 144 \, A b^{2} c d m^{2} n x x^{m} x^{3 \, n} e^{m} + 72 \, B a^{2} d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 144 \, A a b d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 147 \, B b^{2} c^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 588 \, B a b c d m n^{2} x x^{m} x^{3 \, n} e^{m} + 294 \, A b^{2} c d m n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, B a^{2} d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 294 \, A a b d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 78 \, B b^{2} c^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 312 \, B a b c d n^{3} x x^{m} x^{3 \, n} e^{m} + 156 \, A b^{2} c d n^{3} x x^{m} x^{3 \, n} e^{m} + 78 \, B a^{2} d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 156 \, A a b d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 20 \, B a b c^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 10 \, A b^{2} c^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 20 \, B a^{2} c d m^{3} x x^{m} x^{2 \, n} e^{m} + 40 \, A a b c d m^{3} x x^{m} x^{2 \, n} e^{m} + 10 \, A a^{2} d^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 156 \, B a b c^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 78 \, A b^{2} c^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 156 \, B a^{2} c d m^{2} n x x^{m} x^{2 \, n} e^{m} + 312 \, A a b c d m^{2} n x x^{m} x^{2 \, n} e^{m} + 78 \, A a^{2} d^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 354 \, B a b c^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A b^{2} c^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 354 \, B a^{2} c d m n^{2} x x^{m} x^{2 \, n} e^{m} + 708 \, A a b c d m n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A a^{2} d^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 214 \, B a b c^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 107 \, A b^{2} c^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 214 \, B a^{2} c d n^{3} x x^{m} x^{2 \, n} e^{m} + 428 \, A a b c d n^{3} x x^{m} x^{2 \, n} e^{m} + 107 \, A a^{2} d^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 10 \, B a^{2} c^{2} m^{3} x x^{m} x^{n} e^{m} + 20 \, A a b c^{2} m^{3} x x^{m} x^{n} e^{m} + 20 \, A a^{2} c d m^{3} x x^{m} x^{n} e^{m} + 84 \, B a^{2} c^{2} m^{2} n x x^{m} x^{n} e^{m} + 168 \, A a b c^{2} m^{2} n x x^{m} x^{n} e^{m} + 168 \, A a^{2} c d m^{2} n x x^{m} x^{n} e^{m} + 213 \, B a^{2} c^{2} m n^{2} x x^{m} x^{n} e^{m} + 426 \, A a b c^{2} m n^{2} x x^{m} x^{n} e^{m} + 426 \, A a^{2} c d m n^{2} x x^{m} x^{n} e^{m} + 154 \, B a^{2} c^{2} n^{3} x x^{m} x^{n} e^{m} + 308 \, A a b c^{2} n^{3} x x^{m} x^{n} e^{m} + 308 \, A a^{2} c d n^{3} x x^{m} x^{n} e^{m} + 10 \, A a^{2} c^{2} m^{3} x x^{m} e^{m} + 90 \, A a^{2} c^{2} m^{2} n x x^{m} e^{m} + 255 \, A a^{2} c^{2} m n^{2} x x^{m} e^{m} + 225 \, A a^{2} c^{2} n^{3} x x^{m} e^{m} + 10 \, B b^{2} d^{2} m^{2} x x^{m} x^{5 \, n} e^{m} + 40 \, B b^{2} d^{2} m n x x^{m} x^{5 \, n} e^{m} + 35 \, B b^{2} d^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 20 \, B b^{2} c d m^{2} x x^{m} x^{4 \, n} e^{m} + 20 \, B a b d^{2} m^{2} x x^{m} x^{4 \, n} e^{m} + 10 \, A b^{2} d^{2} m^{2} x x^{m} x^{4 \, n} e^{m} + 88 \, B b^{2} c d m n x x^{m} x^{4 \, n} e^{m} + 88 \, B a b d^{2} m n x x^{m} x^{4 \, n} e^{m} + 44 \, A b^{2} d^{2} m n x x^{m} x^{4 \, n} e^{m} + 82 \, B b^{2} c d n^{2} x x^{m} x^{4 \, n} e^{m} + 82 \, B a b d^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 41 \, A b^{2} d^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 10 \, B b^{2} c^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 40 \, B a b c d m^{2} x x^{m} x^{3 \, n} e^{m} + 20 \, A b^{2} c d m^{2} x x^{m} x^{3 \, n} e^{m} + 10 \, B a^{2} d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 20 \, A a b d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 48 \, B b^{2} c^{2} m n x x^{m} x^{3 \, n} e^{m} + 192 \, B a b c d m n x x^{m} x^{3 \, n} e^{m} + 96 \, A b^{2} c d m n x x^{m} x^{3 \, n} e^{m} + 48 \, B a^{2} d^{2} m n x x^{m} x^{3 \, n} e^{m} + 96 \, A a b d^{2} m n x x^{m} x^{3 \, n} e^{m} + 49 \, B b^{2} c^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 196 \, B a b c d n^{2} x x^{m} x^{3 \, n} e^{m} + 98 \, A b^{2} c d n^{2} x x^{m} x^{3 \, n} e^{m} + 49 \, B a^{2} d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 98 \, A a b d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 20 \, B a b c^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 10 \, A b^{2} c^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 20 \, B a^{2} c d m^{2} x x^{m} x^{2 \, n} e^{m} + 40 \, A a b c d m^{2} x x^{m} x^{2 \, n} e^{m} + 10 \, A a^{2} d^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 104 \, B a b c^{2} m n x x^{m} x^{2 \, n} e^{m} + 52 \, A b^{2} c^{2} m n x x^{m} x^{2 \, n} e^{m} + 104 \, B a^{2} c d m n x x^{m} x^{2 \, n} e^{m} + 208 \, A a b c d m n x x^{m} x^{2 \, n} e^{m} + 52 \, A a^{2} d^{2} m n x x^{m} x^{2 \, n} e^{m} + 118 \, B a b c^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 59 \, A b^{2} c^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 118 \, B a^{2} c d n^{2} x x^{m} x^{2 \, n} e^{m} + 236 \, A a b c d n^{2} x x^{m} x^{2 \, n} e^{m} + 59 \, A a^{2} d^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 10 \, B a^{2} c^{2} m^{2} x x^{m} x^{n} e^{m} + 20 \, A a b c^{2} m^{2} x x^{m} x^{n} e^{m} + 20 \, A a^{2} c d m^{2} x x^{m} x^{n} e^{m} + 56 \, B a^{2} c^{2} m n x x^{m} x^{n} e^{m} + 112 \, A a b c^{2} m n x x^{m} x^{n} e^{m} + 112 \, A a^{2} c d m n x x^{m} x^{n} e^{m} + 71 \, B a^{2} c^{2} n^{2} x x^{m} x^{n} e^{m} + 142 \, A a b c^{2} n^{2} x x^{m} x^{n} e^{m} + 142 \, A a^{2} c d n^{2} x x^{m} x^{n} e^{m} + 10 \, A a^{2} c^{2} m^{2} x x^{m} e^{m} + 60 \, A a^{2} c^{2} m n x x^{m} e^{m} + 85 \, A a^{2} c^{2} n^{2} x x^{m} e^{m} + 5 \, B b^{2} d^{2} m x x^{m} x^{5 \, n} e^{m} + 10 \, B b^{2} d^{2} n x x^{m} x^{5 \, n} e^{m} + 10 \, B b^{2} c d m x x^{m} x^{4 \, n} e^{m} + 10 \, B a b d^{2} m x x^{m} x^{4 \, n} e^{m} + 5 \, A b^{2} d^{2} m x x^{m} x^{4 \, n} e^{m} + 22 \, B b^{2} c d n x x^{m} x^{4 \, n} e^{m} + 22 \, B a b d^{2} n x x^{m} x^{4 \, n} e^{m} + 11 \, A b^{2} d^{2} n x x^{m} x^{4 \, n} e^{m} + 5 \, B b^{2} c^{2} m x x^{m} x^{3 \, n} e^{m} + 20 \, B a b c d m x x^{m} x^{3 \, n} e^{m} + 10 \, A b^{2} c d m x x^{m} x^{3 \, n} e^{m} + 5 \, B a^{2} d^{2} m x x^{m} x^{3 \, n} e^{m} + 10 \, A a b d^{2} m x x^{m} x^{3 \, n} e^{m} + 12 \, B b^{2} c^{2} n x x^{m} x^{3 \, n} e^{m} + 48 \, B a b c d n x x^{m} x^{3 \, n} e^{m} + 24 \, A b^{2} c d n x x^{m} x^{3 \, n} e^{m} + 12 \, B a^{2} d^{2} n x x^{m} x^{3 \, n} e^{m} + 24 \, A a b d^{2} n x x^{m} x^{3 \, n} e^{m} + 10 \, B a b c^{2} m x x^{m} x^{2 \, n} e^{m} + 5 \, A b^{2} c^{2} m x x^{m} x^{2 \, n} e^{m} + 10 \, B a^{2} c d m x x^{m} x^{2 \, n} e^{m} + 20 \, A a b c d m x x^{m} x^{2 \, n} e^{m} + 5 \, A a^{2} d^{2} m x x^{m} x^{2 \, n} e^{m} + 26 \, B a b c^{2} n x x^{m} x^{2 \, n} e^{m} + 13 \, A b^{2} c^{2} n x x^{m} x^{2 \, n} e^{m} + 26 \, B a^{2} c d n x x^{m} x^{2 \, n} e^{m} + 52 \, A a b c d n x x^{m} x^{2 \, n} e^{m} + 13 \, A a^{2} d^{2} n x x^{m} x^{2 \, n} e^{m} + 5 \, B a^{2} c^{2} m x x^{m} x^{n} e^{m} + 10 \, A a b c^{2} m x x^{m} x^{n} e^{m} + 10 \, A a^{2} c d m x x^{m} x^{n} e^{m} + 14 \, B a^{2} c^{2} n x x^{m} x^{n} e^{m} + 28 \, A a b c^{2} n x x^{m} x^{n} e^{m} + 28 \, A a^{2} c d n x x^{m} x^{n} e^{m} + 5 \, A a^{2} c^{2} m x x^{m} e^{m} + 15 \, A a^{2} c^{2} n x x^{m} e^{m} + B b^{2} d^{2} x x^{m} x^{5 \, n} e^{m} + 2 \, B b^{2} c d x x^{m} x^{4 \, n} e^{m} + 2 \, B a b d^{2} x x^{m} x^{4 \, n} e^{m} + A b^{2} d^{2} x x^{m} x^{4 \, n} e^{m} + B b^{2} c^{2} x x^{m} x^{3 \, n} e^{m} + 4 \, B a b c d x x^{m} x^{3 \, n} e^{m} + 2 \, A b^{2} c d x x^{m} x^{3 \, n} e^{m} + B a^{2} d^{2} x x^{m} x^{3 \, n} e^{m} + 2 \, A a b d^{2} x x^{m} x^{3 \, n} e^{m} + 2 \, B a b c^{2} x x^{m} x^{2 \, n} e^{m} + A b^{2} c^{2} x x^{m} x^{2 \, n} e^{m} + 2 \, B a^{2} c d x x^{m} x^{2 \, n} e^{m} + 4 \, A a b c d x x^{m} x^{2 \, n} e^{m} + A a^{2} d^{2} x x^{m} x^{2 \, n} e^{m} + B a^{2} c^{2} x x^{m} x^{n} e^{m} + 2 \, A a b c^{2} x x^{m} x^{n} e^{m} + 2 \, A a^{2} c d x x^{m} x^{n} e^{m} + A a^{2} c^{2} x x^{m} e^{m}}{m^{6} + 15 \, m^{5} n + 85 \, m^{4} n^{2} + 225 \, m^{3} n^{3} + 274 \, m^{2} n^{4} + 120 \, m n^{5} + 6 \, m^{5} + 75 \, m^{4} n + 340 \, m^{3} n^{2} + 675 \, m^{2} n^{3} + 548 \, m n^{4} + 120 \, n^{5} + 15 \, m^{4} + 150 \, m^{3} n + 510 \, m^{2} n^{2} + 675 \, m n^{3} + 274 \, n^{4} + 20 \, m^{3} + 150 \, m^{2} n + 340 \, m n^{2} + 225 \, n^{3} + 15 \, m^{2} + 75 \, m n + 85 \, n^{2} + 6 \, m + 15 \, n + 1}"," ",0,"(B*b^2*d^2*m^5*x*x^m*x^(5*n)*e^m + 10*B*b^2*d^2*m^4*n*x*x^m*x^(5*n)*e^m + 35*B*b^2*d^2*m^3*n^2*x*x^m*x^(5*n)*e^m + 50*B*b^2*d^2*m^2*n^3*x*x^m*x^(5*n)*e^m + 24*B*b^2*d^2*m*n^4*x*x^m*x^(5*n)*e^m + 2*B*b^2*c*d*m^5*x*x^m*x^(4*n)*e^m + 2*B*a*b*d^2*m^5*x*x^m*x^(4*n)*e^m + A*b^2*d^2*m^5*x*x^m*x^(4*n)*e^m + 22*B*b^2*c*d*m^4*n*x*x^m*x^(4*n)*e^m + 22*B*a*b*d^2*m^4*n*x*x^m*x^(4*n)*e^m + 11*A*b^2*d^2*m^4*n*x*x^m*x^(4*n)*e^m + 82*B*b^2*c*d*m^3*n^2*x*x^m*x^(4*n)*e^m + 82*B*a*b*d^2*m^3*n^2*x*x^m*x^(4*n)*e^m + 41*A*b^2*d^2*m^3*n^2*x*x^m*x^(4*n)*e^m + 122*B*b^2*c*d*m^2*n^3*x*x^m*x^(4*n)*e^m + 122*B*a*b*d^2*m^2*n^3*x*x^m*x^(4*n)*e^m + 61*A*b^2*d^2*m^2*n^3*x*x^m*x^(4*n)*e^m + 60*B*b^2*c*d*m*n^4*x*x^m*x^(4*n)*e^m + 60*B*a*b*d^2*m*n^4*x*x^m*x^(4*n)*e^m + 30*A*b^2*d^2*m*n^4*x*x^m*x^(4*n)*e^m + B*b^2*c^2*m^5*x*x^m*x^(3*n)*e^m + 4*B*a*b*c*d*m^5*x*x^m*x^(3*n)*e^m + 2*A*b^2*c*d*m^5*x*x^m*x^(3*n)*e^m + B*a^2*d^2*m^5*x*x^m*x^(3*n)*e^m + 2*A*a*b*d^2*m^5*x*x^m*x^(3*n)*e^m + 12*B*b^2*c^2*m^4*n*x*x^m*x^(3*n)*e^m + 48*B*a*b*c*d*m^4*n*x*x^m*x^(3*n)*e^m + 24*A*b^2*c*d*m^4*n*x*x^m*x^(3*n)*e^m + 12*B*a^2*d^2*m^4*n*x*x^m*x^(3*n)*e^m + 24*A*a*b*d^2*m^4*n*x*x^m*x^(3*n)*e^m + 49*B*b^2*c^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 196*B*a*b*c*d*m^3*n^2*x*x^m*x^(3*n)*e^m + 98*A*b^2*c*d*m^3*n^2*x*x^m*x^(3*n)*e^m + 49*B*a^2*d^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 98*A*a*b*d^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 78*B*b^2*c^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 312*B*a*b*c*d*m^2*n^3*x*x^m*x^(3*n)*e^m + 156*A*b^2*c*d*m^2*n^3*x*x^m*x^(3*n)*e^m + 78*B*a^2*d^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 156*A*a*b*d^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 40*B*b^2*c^2*m*n^4*x*x^m*x^(3*n)*e^m + 160*B*a*b*c*d*m*n^4*x*x^m*x^(3*n)*e^m + 80*A*b^2*c*d*m*n^4*x*x^m*x^(3*n)*e^m + 40*B*a^2*d^2*m*n^4*x*x^m*x^(3*n)*e^m + 80*A*a*b*d^2*m*n^4*x*x^m*x^(3*n)*e^m + 2*B*a*b*c^2*m^5*x*x^m*x^(2*n)*e^m + A*b^2*c^2*m^5*x*x^m*x^(2*n)*e^m + 2*B*a^2*c*d*m^5*x*x^m*x^(2*n)*e^m + 4*A*a*b*c*d*m^5*x*x^m*x^(2*n)*e^m + A*a^2*d^2*m^5*x*x^m*x^(2*n)*e^m + 26*B*a*b*c^2*m^4*n*x*x^m*x^(2*n)*e^m + 13*A*b^2*c^2*m^4*n*x*x^m*x^(2*n)*e^m + 26*B*a^2*c*d*m^4*n*x*x^m*x^(2*n)*e^m + 52*A*a*b*c*d*m^4*n*x*x^m*x^(2*n)*e^m + 13*A*a^2*d^2*m^4*n*x*x^m*x^(2*n)*e^m + 118*B*a*b*c^2*m^3*n^2*x*x^m*x^(2*n)*e^m + 59*A*b^2*c^2*m^3*n^2*x*x^m*x^(2*n)*e^m + 118*B*a^2*c*d*m^3*n^2*x*x^m*x^(2*n)*e^m + 236*A*a*b*c*d*m^3*n^2*x*x^m*x^(2*n)*e^m + 59*A*a^2*d^2*m^3*n^2*x*x^m*x^(2*n)*e^m + 214*B*a*b*c^2*m^2*n^3*x*x^m*x^(2*n)*e^m + 107*A*b^2*c^2*m^2*n^3*x*x^m*x^(2*n)*e^m + 214*B*a^2*c*d*m^2*n^3*x*x^m*x^(2*n)*e^m + 428*A*a*b*c*d*m^2*n^3*x*x^m*x^(2*n)*e^m + 107*A*a^2*d^2*m^2*n^3*x*x^m*x^(2*n)*e^m + 120*B*a*b*c^2*m*n^4*x*x^m*x^(2*n)*e^m + 60*A*b^2*c^2*m*n^4*x*x^m*x^(2*n)*e^m + 120*B*a^2*c*d*m*n^4*x*x^m*x^(2*n)*e^m + 240*A*a*b*c*d*m*n^4*x*x^m*x^(2*n)*e^m + 60*A*a^2*d^2*m*n^4*x*x^m*x^(2*n)*e^m + B*a^2*c^2*m^5*x*x^m*x^n*e^m + 2*A*a*b*c^2*m^5*x*x^m*x^n*e^m + 2*A*a^2*c*d*m^5*x*x^m*x^n*e^m + 14*B*a^2*c^2*m^4*n*x*x^m*x^n*e^m + 28*A*a*b*c^2*m^4*n*x*x^m*x^n*e^m + 28*A*a^2*c*d*m^4*n*x*x^m*x^n*e^m + 71*B*a^2*c^2*m^3*n^2*x*x^m*x^n*e^m + 142*A*a*b*c^2*m^3*n^2*x*x^m*x^n*e^m + 142*A*a^2*c*d*m^3*n^2*x*x^m*x^n*e^m + 154*B*a^2*c^2*m^2*n^3*x*x^m*x^n*e^m + 308*A*a*b*c^2*m^2*n^3*x*x^m*x^n*e^m + 308*A*a^2*c*d*m^2*n^3*x*x^m*x^n*e^m + 120*B*a^2*c^2*m*n^4*x*x^m*x^n*e^m + 240*A*a*b*c^2*m*n^4*x*x^m*x^n*e^m + 240*A*a^2*c*d*m*n^4*x*x^m*x^n*e^m + A*a^2*c^2*m^5*x*x^m*e^m + 15*A*a^2*c^2*m^4*n*x*x^m*e^m + 85*A*a^2*c^2*m^3*n^2*x*x^m*e^m + 225*A*a^2*c^2*m^2*n^3*x*x^m*e^m + 274*A*a^2*c^2*m*n^4*x*x^m*e^m + 120*A*a^2*c^2*n^5*x*x^m*e^m + 5*B*b^2*d^2*m^4*x*x^m*x^(5*n)*e^m + 40*B*b^2*d^2*m^3*n*x*x^m*x^(5*n)*e^m + 105*B*b^2*d^2*m^2*n^2*x*x^m*x^(5*n)*e^m + 100*B*b^2*d^2*m*n^3*x*x^m*x^(5*n)*e^m + 24*B*b^2*d^2*n^4*x*x^m*x^(5*n)*e^m + 10*B*b^2*c*d*m^4*x*x^m*x^(4*n)*e^m + 10*B*a*b*d^2*m^4*x*x^m*x^(4*n)*e^m + 5*A*b^2*d^2*m^4*x*x^m*x^(4*n)*e^m + 88*B*b^2*c*d*m^3*n*x*x^m*x^(4*n)*e^m + 88*B*a*b*d^2*m^3*n*x*x^m*x^(4*n)*e^m + 44*A*b^2*d^2*m^3*n*x*x^m*x^(4*n)*e^m + 246*B*b^2*c*d*m^2*n^2*x*x^m*x^(4*n)*e^m + 246*B*a*b*d^2*m^2*n^2*x*x^m*x^(4*n)*e^m + 123*A*b^2*d^2*m^2*n^2*x*x^m*x^(4*n)*e^m + 244*B*b^2*c*d*m*n^3*x*x^m*x^(4*n)*e^m + 244*B*a*b*d^2*m*n^3*x*x^m*x^(4*n)*e^m + 122*A*b^2*d^2*m*n^3*x*x^m*x^(4*n)*e^m + 60*B*b^2*c*d*n^4*x*x^m*x^(4*n)*e^m + 60*B*a*b*d^2*n^4*x*x^m*x^(4*n)*e^m + 30*A*b^2*d^2*n^4*x*x^m*x^(4*n)*e^m + 5*B*b^2*c^2*m^4*x*x^m*x^(3*n)*e^m + 20*B*a*b*c*d*m^4*x*x^m*x^(3*n)*e^m + 10*A*b^2*c*d*m^4*x*x^m*x^(3*n)*e^m + 5*B*a^2*d^2*m^4*x*x^m*x^(3*n)*e^m + 10*A*a*b*d^2*m^4*x*x^m*x^(3*n)*e^m + 48*B*b^2*c^2*m^3*n*x*x^m*x^(3*n)*e^m + 192*B*a*b*c*d*m^3*n*x*x^m*x^(3*n)*e^m + 96*A*b^2*c*d*m^3*n*x*x^m*x^(3*n)*e^m + 48*B*a^2*d^2*m^3*n*x*x^m*x^(3*n)*e^m + 96*A*a*b*d^2*m^3*n*x*x^m*x^(3*n)*e^m + 147*B*b^2*c^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 588*B*a*b*c*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 294*A*b^2*c*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 147*B*a^2*d^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 294*A*a*b*d^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 156*B*b^2*c^2*m*n^3*x*x^m*x^(3*n)*e^m + 624*B*a*b*c*d*m*n^3*x*x^m*x^(3*n)*e^m + 312*A*b^2*c*d*m*n^3*x*x^m*x^(3*n)*e^m + 156*B*a^2*d^2*m*n^3*x*x^m*x^(3*n)*e^m + 312*A*a*b*d^2*m*n^3*x*x^m*x^(3*n)*e^m + 40*B*b^2*c^2*n^4*x*x^m*x^(3*n)*e^m + 160*B*a*b*c*d*n^4*x*x^m*x^(3*n)*e^m + 80*A*b^2*c*d*n^4*x*x^m*x^(3*n)*e^m + 40*B*a^2*d^2*n^4*x*x^m*x^(3*n)*e^m + 80*A*a*b*d^2*n^4*x*x^m*x^(3*n)*e^m + 10*B*a*b*c^2*m^4*x*x^m*x^(2*n)*e^m + 5*A*b^2*c^2*m^4*x*x^m*x^(2*n)*e^m + 10*B*a^2*c*d*m^4*x*x^m*x^(2*n)*e^m + 20*A*a*b*c*d*m^4*x*x^m*x^(2*n)*e^m + 5*A*a^2*d^2*m^4*x*x^m*x^(2*n)*e^m + 104*B*a*b*c^2*m^3*n*x*x^m*x^(2*n)*e^m + 52*A*b^2*c^2*m^3*n*x*x^m*x^(2*n)*e^m + 104*B*a^2*c*d*m^3*n*x*x^m*x^(2*n)*e^m + 208*A*a*b*c*d*m^3*n*x*x^m*x^(2*n)*e^m + 52*A*a^2*d^2*m^3*n*x*x^m*x^(2*n)*e^m + 354*B*a*b*c^2*m^2*n^2*x*x^m*x^(2*n)*e^m + 177*A*b^2*c^2*m^2*n^2*x*x^m*x^(2*n)*e^m + 354*B*a^2*c*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 708*A*a*b*c*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 177*A*a^2*d^2*m^2*n^2*x*x^m*x^(2*n)*e^m + 428*B*a*b*c^2*m*n^3*x*x^m*x^(2*n)*e^m + 214*A*b^2*c^2*m*n^3*x*x^m*x^(2*n)*e^m + 428*B*a^2*c*d*m*n^3*x*x^m*x^(2*n)*e^m + 856*A*a*b*c*d*m*n^3*x*x^m*x^(2*n)*e^m + 214*A*a^2*d^2*m*n^3*x*x^m*x^(2*n)*e^m + 120*B*a*b*c^2*n^4*x*x^m*x^(2*n)*e^m + 60*A*b^2*c^2*n^4*x*x^m*x^(2*n)*e^m + 120*B*a^2*c*d*n^4*x*x^m*x^(2*n)*e^m + 240*A*a*b*c*d*n^4*x*x^m*x^(2*n)*e^m + 60*A*a^2*d^2*n^4*x*x^m*x^(2*n)*e^m + 5*B*a^2*c^2*m^4*x*x^m*x^n*e^m + 10*A*a*b*c^2*m^4*x*x^m*x^n*e^m + 10*A*a^2*c*d*m^4*x*x^m*x^n*e^m + 56*B*a^2*c^2*m^3*n*x*x^m*x^n*e^m + 112*A*a*b*c^2*m^3*n*x*x^m*x^n*e^m + 112*A*a^2*c*d*m^3*n*x*x^m*x^n*e^m + 213*B*a^2*c^2*m^2*n^2*x*x^m*x^n*e^m + 426*A*a*b*c^2*m^2*n^2*x*x^m*x^n*e^m + 426*A*a^2*c*d*m^2*n^2*x*x^m*x^n*e^m + 308*B*a^2*c^2*m*n^3*x*x^m*x^n*e^m + 616*A*a*b*c^2*m*n^3*x*x^m*x^n*e^m + 616*A*a^2*c*d*m*n^3*x*x^m*x^n*e^m + 120*B*a^2*c^2*n^4*x*x^m*x^n*e^m + 240*A*a*b*c^2*n^4*x*x^m*x^n*e^m + 240*A*a^2*c*d*n^4*x*x^m*x^n*e^m + 5*A*a^2*c^2*m^4*x*x^m*e^m + 60*A*a^2*c^2*m^3*n*x*x^m*e^m + 255*A*a^2*c^2*m^2*n^2*x*x^m*e^m + 450*A*a^2*c^2*m*n^3*x*x^m*e^m + 274*A*a^2*c^2*n^4*x*x^m*e^m + 10*B*b^2*d^2*m^3*x*x^m*x^(5*n)*e^m + 60*B*b^2*d^2*m^2*n*x*x^m*x^(5*n)*e^m + 105*B*b^2*d^2*m*n^2*x*x^m*x^(5*n)*e^m + 50*B*b^2*d^2*n^3*x*x^m*x^(5*n)*e^m + 20*B*b^2*c*d*m^3*x*x^m*x^(4*n)*e^m + 20*B*a*b*d^2*m^3*x*x^m*x^(4*n)*e^m + 10*A*b^2*d^2*m^3*x*x^m*x^(4*n)*e^m + 132*B*b^2*c*d*m^2*n*x*x^m*x^(4*n)*e^m + 132*B*a*b*d^2*m^2*n*x*x^m*x^(4*n)*e^m + 66*A*b^2*d^2*m^2*n*x*x^m*x^(4*n)*e^m + 246*B*b^2*c*d*m*n^2*x*x^m*x^(4*n)*e^m + 246*B*a*b*d^2*m*n^2*x*x^m*x^(4*n)*e^m + 123*A*b^2*d^2*m*n^2*x*x^m*x^(4*n)*e^m + 122*B*b^2*c*d*n^3*x*x^m*x^(4*n)*e^m + 122*B*a*b*d^2*n^3*x*x^m*x^(4*n)*e^m + 61*A*b^2*d^2*n^3*x*x^m*x^(4*n)*e^m + 10*B*b^2*c^2*m^3*x*x^m*x^(3*n)*e^m + 40*B*a*b*c*d*m^3*x*x^m*x^(3*n)*e^m + 20*A*b^2*c*d*m^3*x*x^m*x^(3*n)*e^m + 10*B*a^2*d^2*m^3*x*x^m*x^(3*n)*e^m + 20*A*a*b*d^2*m^3*x*x^m*x^(3*n)*e^m + 72*B*b^2*c^2*m^2*n*x*x^m*x^(3*n)*e^m + 288*B*a*b*c*d*m^2*n*x*x^m*x^(3*n)*e^m + 144*A*b^2*c*d*m^2*n*x*x^m*x^(3*n)*e^m + 72*B*a^2*d^2*m^2*n*x*x^m*x^(3*n)*e^m + 144*A*a*b*d^2*m^2*n*x*x^m*x^(3*n)*e^m + 147*B*b^2*c^2*m*n^2*x*x^m*x^(3*n)*e^m + 588*B*a*b*c*d*m*n^2*x*x^m*x^(3*n)*e^m 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214*B*a^2*c*d*n^3*x*x^m*x^(2*n)*e^m + 428*A*a*b*c*d*n^3*x*x^m*x^(2*n)*e^m + 107*A*a^2*d^2*n^3*x*x^m*x^(2*n)*e^m + 10*B*a^2*c^2*m^3*x*x^m*x^n*e^m + 20*A*a*b*c^2*m^3*x*x^m*x^n*e^m + 20*A*a^2*c*d*m^3*x*x^m*x^n*e^m + 84*B*a^2*c^2*m^2*n*x*x^m*x^n*e^m + 168*A*a*b*c^2*m^2*n*x*x^m*x^n*e^m + 168*A*a^2*c*d*m^2*n*x*x^m*x^n*e^m + 213*B*a^2*c^2*m*n^2*x*x^m*x^n*e^m + 426*A*a*b*c^2*m*n^2*x*x^m*x^n*e^m + 426*A*a^2*c*d*m*n^2*x*x^m*x^n*e^m + 154*B*a^2*c^2*n^3*x*x^m*x^n*e^m + 308*A*a*b*c^2*n^3*x*x^m*x^n*e^m + 308*A*a^2*c*d*n^3*x*x^m*x^n*e^m + 10*A*a^2*c^2*m^3*x*x^m*e^m + 90*A*a^2*c^2*m^2*n*x*x^m*e^m + 255*A*a^2*c^2*m*n^2*x*x^m*e^m + 225*A*a^2*c^2*n^3*x*x^m*e^m + 10*B*b^2*d^2*m^2*x*x^m*x^(5*n)*e^m + 40*B*b^2*d^2*m*n*x*x^m*x^(5*n)*e^m + 35*B*b^2*d^2*n^2*x*x^m*x^(5*n)*e^m + 20*B*b^2*c*d*m^2*x*x^m*x^(4*n)*e^m + 20*B*a*b*d^2*m^2*x*x^m*x^(4*n)*e^m + 10*A*b^2*d^2*m^2*x*x^m*x^(4*n)*e^m + 88*B*b^2*c*d*m*n*x*x^m*x^(4*n)*e^m + 88*B*a*b*d^2*m*n*x*x^m*x^(4*n)*e^m + 44*A*b^2*d^2*m*n*x*x^m*x^(4*n)*e^m + 82*B*b^2*c*d*n^2*x*x^m*x^(4*n)*e^m + 82*B*a*b*d^2*n^2*x*x^m*x^(4*n)*e^m + 41*A*b^2*d^2*n^2*x*x^m*x^(4*n)*e^m + 10*B*b^2*c^2*m^2*x*x^m*x^(3*n)*e^m + 40*B*a*b*c*d*m^2*x*x^m*x^(3*n)*e^m + 20*A*b^2*c*d*m^2*x*x^m*x^(3*n)*e^m + 10*B*a^2*d^2*m^2*x*x^m*x^(3*n)*e^m + 20*A*a*b*d^2*m^2*x*x^m*x^(3*n)*e^m + 48*B*b^2*c^2*m*n*x*x^m*x^(3*n)*e^m + 192*B*a*b*c*d*m*n*x*x^m*x^(3*n)*e^m + 96*A*b^2*c*d*m*n*x*x^m*x^(3*n)*e^m + 48*B*a^2*d^2*m*n*x*x^m*x^(3*n)*e^m + 96*A*a*b*d^2*m*n*x*x^m*x^(3*n)*e^m + 49*B*b^2*c^2*n^2*x*x^m*x^(3*n)*e^m + 196*B*a*b*c*d*n^2*x*x^m*x^(3*n)*e^m + 98*A*b^2*c*d*n^2*x*x^m*x^(3*n)*e^m + 49*B*a^2*d^2*n^2*x*x^m*x^(3*n)*e^m + 98*A*a*b*d^2*n^2*x*x^m*x^(3*n)*e^m + 20*B*a*b*c^2*m^2*x*x^m*x^(2*n)*e^m + 10*A*b^2*c^2*m^2*x*x^m*x^(2*n)*e^m + 20*B*a^2*c*d*m^2*x*x^m*x^(2*n)*e^m + 40*A*a*b*c*d*m^2*x*x^m*x^(2*n)*e^m + 10*A*a^2*d^2*m^2*x*x^m*x^(2*n)*e^m + 104*B*a*b*c^2*m*n*x*x^m*x^(2*n)*e^m + 52*A*b^2*c^2*m*n*x*x^m*x^(2*n)*e^m + 104*B*a^2*c*d*m*n*x*x^m*x^(2*n)*e^m + 208*A*a*b*c*d*m*n*x*x^m*x^(2*n)*e^m + 52*A*a^2*d^2*m*n*x*x^m*x^(2*n)*e^m + 118*B*a*b*c^2*n^2*x*x^m*x^(2*n)*e^m + 59*A*b^2*c^2*n^2*x*x^m*x^(2*n)*e^m + 118*B*a^2*c*d*n^2*x*x^m*x^(2*n)*e^m + 236*A*a*b*c*d*n^2*x*x^m*x^(2*n)*e^m + 59*A*a^2*d^2*n^2*x*x^m*x^(2*n)*e^m + 10*B*a^2*c^2*m^2*x*x^m*x^n*e^m + 20*A*a*b*c^2*m^2*x*x^m*x^n*e^m + 20*A*a^2*c*d*m^2*x*x^m*x^n*e^m + 56*B*a^2*c^2*m*n*x*x^m*x^n*e^m + 112*A*a*b*c^2*m*n*x*x^m*x^n*e^m + 112*A*a^2*c*d*m*n*x*x^m*x^n*e^m + 71*B*a^2*c^2*n^2*x*x^m*x^n*e^m + 142*A*a*b*c^2*n^2*x*x^m*x^n*e^m + 142*A*a^2*c*d*n^2*x*x^m*x^n*e^m + 10*A*a^2*c^2*m^2*x*x^m*e^m + 60*A*a^2*c^2*m*n*x*x^m*e^m + 85*A*a^2*c^2*n^2*x*x^m*e^m + 5*B*b^2*d^2*m*x*x^m*x^(5*n)*e^m + 10*B*b^2*d^2*n*x*x^m*x^(5*n)*e^m + 10*B*b^2*c*d*m*x*x^m*x^(4*n)*e^m + 10*B*a*b*d^2*m*x*x^m*x^(4*n)*e^m + 5*A*b^2*d^2*m*x*x^m*x^(4*n)*e^m + 22*B*b^2*c*d*n*x*x^m*x^(4*n)*e^m + 22*B*a*b*d^2*n*x*x^m*x^(4*n)*e^m + 11*A*b^2*d^2*n*x*x^m*x^(4*n)*e^m + 5*B*b^2*c^2*m*x*x^m*x^(3*n)*e^m + 20*B*a*b*c*d*m*x*x^m*x^(3*n)*e^m + 10*A*b^2*c*d*m*x*x^m*x^(3*n)*e^m + 5*B*a^2*d^2*m*x*x^m*x^(3*n)*e^m + 10*A*a*b*d^2*m*x*x^m*x^(3*n)*e^m + 12*B*b^2*c^2*n*x*x^m*x^(3*n)*e^m + 48*B*a*b*c*d*n*x*x^m*x^(3*n)*e^m + 24*A*b^2*c*d*n*x*x^m*x^(3*n)*e^m + 12*B*a^2*d^2*n*x*x^m*x^(3*n)*e^m + 24*A*a*b*d^2*n*x*x^m*x^(3*n)*e^m + 10*B*a*b*c^2*m*x*x^m*x^(2*n)*e^m + 5*A*b^2*c^2*m*x*x^m*x^(2*n)*e^m + 10*B*a^2*c*d*m*x*x^m*x^(2*n)*e^m + 20*A*a*b*c*d*m*x*x^m*x^(2*n)*e^m + 5*A*a^2*d^2*m*x*x^m*x^(2*n)*e^m + 26*B*a*b*c^2*n*x*x^m*x^(2*n)*e^m + 13*A*b^2*c^2*n*x*x^m*x^(2*n)*e^m + 26*B*a^2*c*d*n*x*x^m*x^(2*n)*e^m + 52*A*a*b*c*d*n*x*x^m*x^(2*n)*e^m + 13*A*a^2*d^2*n*x*x^m*x^(2*n)*e^m + 5*B*a^2*c^2*m*x*x^m*x^n*e^m + 10*A*a*b*c^2*m*x*x^m*x^n*e^m + 10*A*a^2*c*d*m*x*x^m*x^n*e^m + 14*B*a^2*c^2*n*x*x^m*x^n*e^m + 28*A*a*b*c^2*n*x*x^m*x^n*e^m + 28*A*a^2*c*d*n*x*x^m*x^n*e^m + 5*A*a^2*c^2*m*x*x^m*e^m + 15*A*a^2*c^2*n*x*x^m*e^m + B*b^2*d^2*x*x^m*x^(5*n)*e^m + 2*B*b^2*c*d*x*x^m*x^(4*n)*e^m + 2*B*a*b*d^2*x*x^m*x^(4*n)*e^m + A*b^2*d^2*x*x^m*x^(4*n)*e^m + B*b^2*c^2*x*x^m*x^(3*n)*e^m + 4*B*a*b*c*d*x*x^m*x^(3*n)*e^m + 2*A*b^2*c*d*x*x^m*x^(3*n)*e^m + B*a^2*d^2*x*x^m*x^(3*n)*e^m + 2*A*a*b*d^2*x*x^m*x^(3*n)*e^m + 2*B*a*b*c^2*x*x^m*x^(2*n)*e^m + A*b^2*c^2*x*x^m*x^(2*n)*e^m + 2*B*a^2*c*d*x*x^m*x^(2*n)*e^m + 4*A*a*b*c*d*x*x^m*x^(2*n)*e^m + A*a^2*d^2*x*x^m*x^(2*n)*e^m + B*a^2*c^2*x*x^m*x^n*e^m + 2*A*a*b*c^2*x*x^m*x^n*e^m + 2*A*a^2*c*d*x*x^m*x^n*e^m + A*a^2*c^2*x*x^m*e^m)/(m^6 + 15*m^5*n + 85*m^4*n^2 + 225*m^3*n^3 + 274*m^2*n^4 + 120*m*n^5 + 6*m^5 + 75*m^4*n + 340*m^3*n^2 + 675*m^2*n^3 + 548*m*n^4 + 120*n^5 + 15*m^4 + 150*m^3*n + 510*m^2*n^2 + 675*m*n^3 + 274*n^4 + 20*m^3 + 150*m^2*n + 340*m*n^2 + 225*n^3 + 15*m^2 + 75*m*n + 85*n^2 + 6*m + 15*n + 1)","B",0
10,1,3415,0,0.818138," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)*(c+d*x^n)^2,x, algorithm=""giac"")","\frac{B b d^{2} m^{4} x x^{m} x^{4 \, n} e^{m} + 6 \, B b d^{2} m^{3} n x x^{m} x^{4 \, n} e^{m} + 11 \, B b d^{2} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 6 \, B b d^{2} m n^{3} x x^{m} x^{4 \, n} e^{m} + 2 \, B b c d m^{4} x x^{m} x^{3 \, n} e^{m} + B a d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + A b d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 14 \, B b c d m^{3} n x x^{m} x^{3 \, n} e^{m} + 7 \, B a d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 7 \, A b d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 28 \, B b c d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 14 \, B a d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 14 \, A b d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 16 \, B b c d m n^{3} x x^{m} x^{3 \, n} e^{m} + 8 \, B a d^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} + 8 \, A b d^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} + B b c^{2} m^{4} x x^{m} x^{2 \, n} e^{m} + 2 \, B a c d m^{4} x x^{m} x^{2 \, n} e^{m} + 2 \, A b c d m^{4} x x^{m} x^{2 \, n} e^{m} + A a d^{2} m^{4} x x^{m} x^{2 \, n} e^{m} + 8 \, B b c^{2} m^{3} n x x^{m} x^{2 \, n} e^{m} + 16 \, B a c d m^{3} n x x^{m} x^{2 \, n} e^{m} + 16 \, A b c d m^{3} n x x^{m} x^{2 \, n} e^{m} + 8 \, A a d^{2} m^{3} n x x^{m} x^{2 \, n} e^{m} + 19 \, B b c^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 38 \, B a c d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 38 \, A b c d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 19 \, A a d^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 12 \, B b c^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + 24 \, B a c d m n^{3} x x^{m} x^{2 \, n} e^{m} + 24 \, A b c d m n^{3} x x^{m} x^{2 \, n} e^{m} + 12 \, A a d^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + B a c^{2} m^{4} x x^{m} x^{n} e^{m} + A b c^{2} m^{4} x x^{m} x^{n} e^{m} + 2 \, A a c d m^{4} x x^{m} x^{n} e^{m} + 9 \, B a c^{2} m^{3} n x x^{m} x^{n} e^{m} + 9 \, A b c^{2} m^{3} n x x^{m} x^{n} e^{m} + 18 \, A a c d m^{3} n x x^{m} x^{n} e^{m} + 26 \, B a c^{2} m^{2} n^{2} x x^{m} x^{n} e^{m} + 26 \, A b c^{2} m^{2} n^{2} x x^{m} x^{n} e^{m} + 52 \, A a c d m^{2} n^{2} x x^{m} x^{n} e^{m} + 24 \, B a c^{2} m n^{3} x x^{m} x^{n} e^{m} + 24 \, A b c^{2} m n^{3} x x^{m} x^{n} e^{m} + 48 \, A a c d m n^{3} x x^{m} x^{n} e^{m} + A a c^{2} m^{4} x x^{m} e^{m} + 10 \, A a c^{2} m^{3} n x x^{m} e^{m} + 35 \, A a c^{2} m^{2} n^{2} x x^{m} e^{m} + 50 \, A a c^{2} m n^{3} x x^{m} e^{m} + 24 \, A a c^{2} n^{4} x x^{m} e^{m} + 4 \, B b d^{2} m^{3} x x^{m} x^{4 \, n} e^{m} + 18 \, B b d^{2} m^{2} n x x^{m} x^{4 \, n} e^{m} + 22 \, B b d^{2} m n^{2} x x^{m} x^{4 \, n} e^{m} + 6 \, B b d^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 8 \, B b c d m^{3} x x^{m} x^{3 \, n} e^{m} + 4 \, B a d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 4 \, A b d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 42 \, B b c d m^{2} n x x^{m} x^{3 \, n} e^{m} + 21 \, B a d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 21 \, A b d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 56 \, B b c d m n^{2} x x^{m} x^{3 \, n} e^{m} + 28 \, B a d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 28 \, A b d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 16 \, B b c d n^{3} x x^{m} x^{3 \, n} e^{m} + 8 \, B a d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 8 \, A b d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 4 \, B b c^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 8 \, B a c d m^{3} x x^{m} x^{2 \, n} e^{m} + 8 \, A b c d m^{3} x x^{m} x^{2 \, n} e^{m} + 4 \, A a d^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 24 \, B b c^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 48 \, B a c d m^{2} n x x^{m} x^{2 \, n} e^{m} + 48 \, A b c d m^{2} n x x^{m} x^{2 \, n} e^{m} + 24 \, A a d^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 38 \, B b c^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 76 \, B a c d m n^{2} x x^{m} x^{2 \, n} e^{m} + 76 \, A b c d m n^{2} x x^{m} x^{2 \, n} e^{m} + 38 \, A a d^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 12 \, B b c^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 24 \, B a c d n^{3} x x^{m} x^{2 \, n} e^{m} + 24 \, A b c d n^{3} x x^{m} x^{2 \, n} e^{m} + 12 \, A a d^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 4 \, B a c^{2} m^{3} x x^{m} x^{n} e^{m} + 4 \, A b c^{2} m^{3} x x^{m} x^{n} e^{m} + 8 \, A a c d m^{3} x x^{m} x^{n} e^{m} + 27 \, B a c^{2} m^{2} n x x^{m} x^{n} e^{m} + 27 \, A b c^{2} m^{2} n x x^{m} x^{n} e^{m} + 54 \, A a c d m^{2} n x x^{m} x^{n} e^{m} + 52 \, B a c^{2} m n^{2} x x^{m} x^{n} e^{m} + 52 \, A b c^{2} m n^{2} x x^{m} x^{n} e^{m} + 104 \, A a c d m n^{2} x x^{m} x^{n} e^{m} + 24 \, B a c^{2} n^{3} x x^{m} x^{n} e^{m} + 24 \, A b c^{2} n^{3} x x^{m} x^{n} e^{m} + 48 \, A a c d n^{3} x x^{m} x^{n} e^{m} + 4 \, A a c^{2} m^{3} x x^{m} e^{m} + 30 \, A a c^{2} m^{2} n x x^{m} e^{m} + 70 \, A a c^{2} m n^{2} x x^{m} e^{m} + 50 \, A a c^{2} n^{3} x x^{m} e^{m} + 6 \, B b d^{2} m^{2} x x^{m} x^{4 \, n} e^{m} + 18 \, B b d^{2} m n x x^{m} x^{4 \, n} e^{m} + 11 \, B b d^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 12 \, B b c d m^{2} x x^{m} x^{3 \, n} e^{m} + 6 \, B a d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 6 \, A b d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 42 \, B b c d m n x x^{m} x^{3 \, n} e^{m} + 21 \, B a d^{2} m n x x^{m} x^{3 \, n} e^{m} + 21 \, A b d^{2} m n x x^{m} x^{3 \, n} e^{m} + 28 \, B b c d n^{2} x x^{m} x^{3 \, n} e^{m} + 14 \, B a d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 14 \, A b d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 6 \, B b c^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 12 \, B a c d m^{2} x x^{m} x^{2 \, n} e^{m} + 12 \, A b c d m^{2} x x^{m} x^{2 \, n} e^{m} + 6 \, A a d^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 24 \, B b c^{2} m n x x^{m} x^{2 \, n} e^{m} + 48 \, B a c d m n x x^{m} x^{2 \, n} e^{m} + 48 \, A b c d m n x x^{m} x^{2 \, n} e^{m} + 24 \, A a d^{2} m n x x^{m} x^{2 \, n} e^{m} + 19 \, B b c^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 38 \, B a c d n^{2} x x^{m} x^{2 \, n} e^{m} + 38 \, A b c d n^{2} x x^{m} x^{2 \, n} e^{m} + 19 \, A a d^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 6 \, B a c^{2} m^{2} x x^{m} x^{n} e^{m} + 6 \, A b c^{2} m^{2} x x^{m} x^{n} e^{m} + 12 \, A a c d m^{2} x x^{m} x^{n} e^{m} + 27 \, B a c^{2} m n x x^{m} x^{n} e^{m} + 27 \, A b c^{2} m n x x^{m} x^{n} e^{m} + 54 \, A a c d m n x x^{m} x^{n} e^{m} + 26 \, B a c^{2} n^{2} x x^{m} x^{n} e^{m} + 26 \, A b c^{2} n^{2} x x^{m} x^{n} e^{m} + 52 \, A a c d n^{2} x x^{m} x^{n} e^{m} + 6 \, A a c^{2} m^{2} x x^{m} e^{m} + 30 \, A a c^{2} m n x x^{m} e^{m} + 35 \, A a c^{2} n^{2} x x^{m} e^{m} + 4 \, B b d^{2} m x x^{m} x^{4 \, n} e^{m} + 6 \, B b d^{2} n x x^{m} x^{4 \, n} e^{m} + 8 \, B b c d m x x^{m} x^{3 \, n} e^{m} + 4 \, B a d^{2} m x x^{m} x^{3 \, n} e^{m} + 4 \, A b d^{2} m x x^{m} x^{3 \, n} e^{m} + 14 \, B b c d n x x^{m} x^{3 \, n} e^{m} + 7 \, B a d^{2} n x x^{m} x^{3 \, n} e^{m} + 7 \, A b d^{2} n x x^{m} x^{3 \, n} e^{m} + 4 \, B b c^{2} m x x^{m} x^{2 \, n} e^{m} + 8 \, B a c d m x x^{m} x^{2 \, n} e^{m} + 8 \, A b c d m x x^{m} x^{2 \, n} e^{m} + 4 \, A a d^{2} m x x^{m} x^{2 \, n} e^{m} + 8 \, B b c^{2} n x x^{m} x^{2 \, n} e^{m} + 16 \, B a c d n x x^{m} x^{2 \, n} e^{m} + 16 \, A b c d n x x^{m} x^{2 \, n} e^{m} + 8 \, A a d^{2} n x x^{m} x^{2 \, n} e^{m} + 4 \, B a c^{2} m x x^{m} x^{n} e^{m} + 4 \, A b c^{2} m x x^{m} x^{n} e^{m} + 8 \, A a c d m x x^{m} x^{n} e^{m} + 9 \, B a c^{2} n x x^{m} x^{n} e^{m} + 9 \, A b c^{2} n x x^{m} x^{n} e^{m} + 18 \, A a c d n x x^{m} x^{n} e^{m} + 4 \, A a c^{2} m x x^{m} e^{m} + 10 \, A a c^{2} n x x^{m} e^{m} + B b d^{2} x x^{m} x^{4 \, n} e^{m} + 2 \, B b c d x x^{m} x^{3 \, n} e^{m} + B a d^{2} x x^{m} x^{3 \, n} e^{m} + A b d^{2} x x^{m} x^{3 \, n} e^{m} + B b c^{2} x x^{m} x^{2 \, n} e^{m} + 2 \, B a c d x x^{m} x^{2 \, n} e^{m} + 2 \, A b c d x x^{m} x^{2 \, n} e^{m} + A a d^{2} x x^{m} x^{2 \, n} e^{m} + B a c^{2} x x^{m} x^{n} e^{m} + A b c^{2} x x^{m} x^{n} e^{m} + 2 \, A a c d x x^{m} x^{n} e^{m} + A a c^{2} x x^{m} e^{m}}{m^{5} + 10 \, m^{4} n + 35 \, m^{3} n^{2} + 50 \, m^{2} n^{3} + 24 \, m n^{4} + 5 \, m^{4} + 40 \, m^{3} n + 105 \, m^{2} n^{2} + 100 \, m n^{3} + 24 \, n^{4} + 10 \, m^{3} + 60 \, m^{2} n + 105 \, m n^{2} + 50 \, n^{3} + 10 \, m^{2} + 40 \, m n + 35 \, n^{2} + 5 \, m + 10 \, n 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19*A*a*d^2*m^2*n^2*x*x^m*x^(2*n)*e^m + 12*B*b*c^2*m*n^3*x*x^m*x^(2*n)*e^m + 24*B*a*c*d*m*n^3*x*x^m*x^(2*n)*e^m + 24*A*b*c*d*m*n^3*x*x^m*x^(2*n)*e^m + 12*A*a*d^2*m*n^3*x*x^m*x^(2*n)*e^m + B*a*c^2*m^4*x*x^m*x^n*e^m + A*b*c^2*m^4*x*x^m*x^n*e^m + 2*A*a*c*d*m^4*x*x^m*x^n*e^m + 9*B*a*c^2*m^3*n*x*x^m*x^n*e^m + 9*A*b*c^2*m^3*n*x*x^m*x^n*e^m + 18*A*a*c*d*m^3*n*x*x^m*x^n*e^m + 26*B*a*c^2*m^2*n^2*x*x^m*x^n*e^m + 26*A*b*c^2*m^2*n^2*x*x^m*x^n*e^m + 52*A*a*c*d*m^2*n^2*x*x^m*x^n*e^m + 24*B*a*c^2*m*n^3*x*x^m*x^n*e^m + 24*A*b*c^2*m*n^3*x*x^m*x^n*e^m + 48*A*a*c*d*m*n^3*x*x^m*x^n*e^m + A*a*c^2*m^4*x*x^m*e^m + 10*A*a*c^2*m^3*n*x*x^m*e^m + 35*A*a*c^2*m^2*n^2*x*x^m*e^m + 50*A*a*c^2*m*n^3*x*x^m*e^m + 24*A*a*c^2*n^4*x*x^m*e^m + 4*B*b*d^2*m^3*x*x^m*x^(4*n)*e^m + 18*B*b*d^2*m^2*n*x*x^m*x^(4*n)*e^m + 22*B*b*d^2*m*n^2*x*x^m*x^(4*n)*e^m + 6*B*b*d^2*n^3*x*x^m*x^(4*n)*e^m + 8*B*b*c*d*m^3*x*x^m*x^(3*n)*e^m + 4*B*a*d^2*m^3*x*x^m*x^(3*n)*e^m + 4*A*b*d^2*m^3*x*x^m*x^(3*n)*e^m + 42*B*b*c*d*m^2*n*x*x^m*x^(3*n)*e^m + 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27*A*b*c^2*m^2*n*x*x^m*x^n*e^m + 54*A*a*c*d*m^2*n*x*x^m*x^n*e^m + 52*B*a*c^2*m*n^2*x*x^m*x^n*e^m + 52*A*b*c^2*m*n^2*x*x^m*x^n*e^m + 104*A*a*c*d*m*n^2*x*x^m*x^n*e^m + 24*B*a*c^2*n^3*x*x^m*x^n*e^m + 24*A*b*c^2*n^3*x*x^m*x^n*e^m + 48*A*a*c*d*n^3*x*x^m*x^n*e^m + 4*A*a*c^2*m^3*x*x^m*e^m + 30*A*a*c^2*m^2*n*x*x^m*e^m + 70*A*a*c^2*m*n^2*x*x^m*e^m + 50*A*a*c^2*n^3*x*x^m*e^m + 6*B*b*d^2*m^2*x*x^m*x^(4*n)*e^m + 18*B*b*d^2*m*n*x*x^m*x^(4*n)*e^m + 11*B*b*d^2*n^2*x*x^m*x^(4*n)*e^m + 12*B*b*c*d*m^2*x*x^m*x^(3*n)*e^m + 6*B*a*d^2*m^2*x*x^m*x^(3*n)*e^m + 6*A*b*d^2*m^2*x*x^m*x^(3*n)*e^m + 42*B*b*c*d*m*n*x*x^m*x^(3*n)*e^m + 21*B*a*d^2*m*n*x*x^m*x^(3*n)*e^m + 21*A*b*d^2*m*n*x*x^m*x^(3*n)*e^m + 28*B*b*c*d*n^2*x*x^m*x^(3*n)*e^m + 14*B*a*d^2*n^2*x*x^m*x^(3*n)*e^m + 14*A*b*d^2*n^2*x*x^m*x^(3*n)*e^m + 6*B*b*c^2*m^2*x*x^m*x^(2*n)*e^m + 12*B*a*c*d*m^2*x*x^m*x^(2*n)*e^m + 12*A*b*c*d*m^2*x*x^m*x^(2*n)*e^m + 6*A*a*d^2*m^2*x*x^m*x^(2*n)*e^m + 24*B*b*c^2*m*n*x*x^m*x^(2*n)*e^m + 48*B*a*c*d*m*n*x*x^m*x^(2*n)*e^m + 48*A*b*c*d*m*n*x*x^m*x^(2*n)*e^m + 24*A*a*d^2*m*n*x*x^m*x^(2*n)*e^m + 19*B*b*c^2*n^2*x*x^m*x^(2*n)*e^m + 38*B*a*c*d*n^2*x*x^m*x^(2*n)*e^m + 38*A*b*c*d*n^2*x*x^m*x^(2*n)*e^m + 19*A*a*d^2*n^2*x*x^m*x^(2*n)*e^m + 6*B*a*c^2*m^2*x*x^m*x^n*e^m + 6*A*b*c^2*m^2*x*x^m*x^n*e^m + 12*A*a*c*d*m^2*x*x^m*x^n*e^m + 27*B*a*c^2*m*n*x*x^m*x^n*e^m + 27*A*b*c^2*m*n*x*x^m*x^n*e^m + 54*A*a*c*d*m*n*x*x^m*x^n*e^m + 26*B*a*c^2*n^2*x*x^m*x^n*e^m + 26*A*b*c^2*n^2*x*x^m*x^n*e^m + 52*A*a*c*d*n^2*x*x^m*x^n*e^m + 6*A*a*c^2*m^2*x*x^m*e^m + 30*A*a*c^2*m*n*x*x^m*e^m + 35*A*a*c^2*n^2*x*x^m*e^m + 4*B*b*d^2*m*x*x^m*x^(4*n)*e^m + 6*B*b*d^2*n*x*x^m*x^(4*n)*e^m + 8*B*b*c*d*m*x*x^m*x^(3*n)*e^m + 4*B*a*d^2*m*x*x^m*x^(3*n)*e^m + 4*A*b*d^2*m*x*x^m*x^(3*n)*e^m + 14*B*b*c*d*n*x*x^m*x^(3*n)*e^m + 7*B*a*d^2*n*x*x^m*x^(3*n)*e^m + 7*A*b*d^2*n*x*x^m*x^(3*n)*e^m + 4*B*b*c^2*m*x*x^m*x^(2*n)*e^m + 8*B*a*c*d*m*x*x^m*x^(2*n)*e^m + 8*A*b*c*d*m*x*x^m*x^(2*n)*e^m + 4*A*a*d^2*m*x*x^m*x^(2*n)*e^m + 8*B*b*c^2*n*x*x^m*x^(2*n)*e^m + 16*B*a*c*d*n*x*x^m*x^(2*n)*e^m + 16*A*b*c*d*n*x*x^m*x^(2*n)*e^m + 8*A*a*d^2*n*x*x^m*x^(2*n)*e^m + 4*B*a*c^2*m*x*x^m*x^n*e^m + 4*A*b*c^2*m*x*x^m*x^n*e^m + 8*A*a*c*d*m*x*x^m*x^n*e^m + 9*B*a*c^2*n*x*x^m*x^n*e^m + 9*A*b*c^2*n*x*x^m*x^n*e^m + 18*A*a*c*d*n*x*x^m*x^n*e^m + 4*A*a*c^2*m*x*x^m*e^m + 10*A*a*c^2*n*x*x^m*e^m + B*b*d^2*x*x^m*x^(4*n)*e^m + 2*B*b*c*d*x*x^m*x^(3*n)*e^m + B*a*d^2*x*x^m*x^(3*n)*e^m + A*b*d^2*x*x^m*x^(3*n)*e^m + B*b*c^2*x*x^m*x^(2*n)*e^m + 2*B*a*c*d*x*x^m*x^(2*n)*e^m + 2*A*b*c*d*x*x^m*x^(2*n)*e^m + A*a*d^2*x*x^m*x^(2*n)*e^m + B*a*c^2*x*x^m*x^n*e^m + A*b*c^2*x*x^m*x^n*e^m + 2*A*a*c*d*x*x^m*x^n*e^m + A*a*c^2*x*x^m*e^m)/(m^5 + 10*m^4*n + 35*m^3*n^2 + 50*m^2*n^3 + 24*m*n^4 + 5*m^4 + 40*m^3*n + 105*m^2*n^2 + 100*m*n^3 + 24*n^4 + 10*m^3 + 60*m^2*n + 105*m*n^2 + 50*n^3 + 10*m^2 + 40*m*n + 35*n^2 + 5*m + 10*n + 1)","B",0
11,1,1023,0,0.581566," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^2,x, algorithm=""giac"")","\frac{B d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 3 \, B d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 2 \, B d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 2 \, B c d m^{3} x x^{m} x^{2 \, n} e^{m} + A d^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 8 \, B c d m^{2} n x x^{m} x^{2 \, n} e^{m} + 4 \, A d^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 6 \, B c d m n^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, A d^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + B c^{2} m^{3} x x^{m} x^{n} e^{m} + 2 \, A c d m^{3} x x^{m} x^{n} e^{m} + 5 \, B c^{2} m^{2} n x x^{m} x^{n} e^{m} + 10 \, A c d m^{2} n x x^{m} x^{n} e^{m} + 6 \, B c^{2} m n^{2} x x^{m} x^{n} e^{m} + 12 \, A c d m n^{2} x x^{m} x^{n} e^{m} + A c^{2} m^{3} x x^{m} e^{m} + 6 \, A c^{2} m^{2} n x x^{m} e^{m} + 11 \, A c^{2} m n^{2} x x^{m} e^{m} + 6 \, A c^{2} n^{3} x x^{m} e^{m} + 3 \, B d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 6 \, B d^{2} m n x x^{m} x^{3 \, n} e^{m} + 2 \, B d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 6 \, B c d m^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, A d^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 16 \, B c d m n x x^{m} x^{2 \, n} e^{m} + 8 \, A d^{2} m n x x^{m} x^{2 \, n} e^{m} + 6 \, B c d n^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, A d^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 3 \, B c^{2} m^{2} x x^{m} x^{n} e^{m} + 6 \, A c d m^{2} x x^{m} x^{n} e^{m} + 10 \, B c^{2} m n x x^{m} x^{n} e^{m} + 20 \, A c d m n x x^{m} x^{n} e^{m} + 6 \, B c^{2} n^{2} x x^{m} x^{n} e^{m} + 12 \, A c d n^{2} x x^{m} x^{n} e^{m} + 3 \, A c^{2} m^{2} x x^{m} e^{m} + 12 \, A c^{2} m n x x^{m} e^{m} + 11 \, A c^{2} n^{2} x x^{m} e^{m} + 3 \, B d^{2} m x x^{m} x^{3 \, n} e^{m} + 3 \, B d^{2} n x x^{m} x^{3 \, n} e^{m} + 6 \, B c d m x x^{m} x^{2 \, n} e^{m} + 3 \, A d^{2} m x x^{m} x^{2 \, n} e^{m} + 8 \, B c d n x x^{m} x^{2 \, n} e^{m} + 4 \, A d^{2} n x x^{m} x^{2 \, n} e^{m} + 3 \, B c^{2} m x x^{m} x^{n} e^{m} + 6 \, A c d m x x^{m} x^{n} e^{m} + 5 \, B c^{2} n x x^{m} x^{n} e^{m} + 10 \, A c d n x x^{m} x^{n} e^{m} + 3 \, A c^{2} m x x^{m} e^{m} + 6 \, A c^{2} n x x^{m} e^{m} + B d^{2} x x^{m} x^{3 \, n} e^{m} + 2 \, B c d x x^{m} x^{2 \, n} e^{m} + A d^{2} x x^{m} x^{2 \, n} e^{m} + B c^{2} x x^{m} x^{n} e^{m} + 2 \, A c d x x^{m} x^{n} e^{m} + A c^{2} x x^{m} e^{m}}{m^{4} + 6 \, m^{3} n + 11 \, m^{2} n^{2} + 6 \, m n^{3} + 4 \, m^{3} + 18 \, m^{2} n + 22 \, m n^{2} + 6 \, n^{3} + 6 \, m^{2} + 18 \, m n + 11 \, n^{2} + 4 \, m + 6 \, n + 1}"," ",0,"(B*d^2*m^3*x*x^m*x^(3*n)*e^m + 3*B*d^2*m^2*n*x*x^m*x^(3*n)*e^m + 2*B*d^2*m*n^2*x*x^m*x^(3*n)*e^m + 2*B*c*d*m^3*x*x^m*x^(2*n)*e^m + A*d^2*m^3*x*x^m*x^(2*n)*e^m + 8*B*c*d*m^2*n*x*x^m*x^(2*n)*e^m + 4*A*d^2*m^2*n*x*x^m*x^(2*n)*e^m + 6*B*c*d*m*n^2*x*x^m*x^(2*n)*e^m + 3*A*d^2*m*n^2*x*x^m*x^(2*n)*e^m + B*c^2*m^3*x*x^m*x^n*e^m + 2*A*c*d*m^3*x*x^m*x^n*e^m + 5*B*c^2*m^2*n*x*x^m*x^n*e^m + 10*A*c*d*m^2*n*x*x^m*x^n*e^m + 6*B*c^2*m*n^2*x*x^m*x^n*e^m + 12*A*c*d*m*n^2*x*x^m*x^n*e^m + A*c^2*m^3*x*x^m*e^m + 6*A*c^2*m^2*n*x*x^m*e^m + 11*A*c^2*m*n^2*x*x^m*e^m + 6*A*c^2*n^3*x*x^m*e^m + 3*B*d^2*m^2*x*x^m*x^(3*n)*e^m + 6*B*d^2*m*n*x*x^m*x^(3*n)*e^m + 2*B*d^2*n^2*x*x^m*x^(3*n)*e^m + 6*B*c*d*m^2*x*x^m*x^(2*n)*e^m + 3*A*d^2*m^2*x*x^m*x^(2*n)*e^m + 16*B*c*d*m*n*x*x^m*x^(2*n)*e^m + 8*A*d^2*m*n*x*x^m*x^(2*n)*e^m + 6*B*c*d*n^2*x*x^m*x^(2*n)*e^m + 3*A*d^2*n^2*x*x^m*x^(2*n)*e^m + 3*B*c^2*m^2*x*x^m*x^n*e^m + 6*A*c*d*m^2*x*x^m*x^n*e^m + 10*B*c^2*m*n*x*x^m*x^n*e^m + 20*A*c*d*m*n*x*x^m*x^n*e^m + 6*B*c^2*n^2*x*x^m*x^n*e^m + 12*A*c*d*n^2*x*x^m*x^n*e^m + 3*A*c^2*m^2*x*x^m*e^m + 12*A*c^2*m*n*x*x^m*e^m + 11*A*c^2*n^2*x*x^m*e^m + 3*B*d^2*m*x*x^m*x^(3*n)*e^m + 3*B*d^2*n*x*x^m*x^(3*n)*e^m + 6*B*c*d*m*x*x^m*x^(2*n)*e^m + 3*A*d^2*m*x*x^m*x^(2*n)*e^m + 8*B*c*d*n*x*x^m*x^(2*n)*e^m + 4*A*d^2*n*x*x^m*x^(2*n)*e^m + 3*B*c^2*m*x*x^m*x^n*e^m + 6*A*c*d*m*x*x^m*x^n*e^m + 5*B*c^2*n*x*x^m*x^n*e^m + 10*A*c*d*n*x*x^m*x^n*e^m + 3*A*c^2*m*x*x^m*e^m + 6*A*c^2*n*x*x^m*e^m + B*d^2*x*x^m*x^(3*n)*e^m + 2*B*c*d*x*x^m*x^(2*n)*e^m + A*d^2*x*x^m*x^(2*n)*e^m + B*c^2*x*x^m*x^n*e^m + 2*A*c*d*x*x^m*x^n*e^m + A*c^2*x*x^m*e^m)/(m^4 + 6*m^3*n + 11*m^2*n^2 + 6*m*n^3 + 4*m^3 + 18*m^2*n + 22*m*n^2 + 6*n^3 + 6*m^2 + 18*m*n + 11*n^2 + 4*m + 6*n + 1)","B",0
12,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^2/(a+b*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(d x^{n} + c\right)}^{2} \left(e x\right)^{m}}{b x^{n} + a}\,{d x}"," ",0,"integrate((B*x^n + A)*(d*x^n + c)^2*(e*x)^m/(b*x^n + a), x)","F",0
13,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^2/(a+b*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(d x^{n} + c\right)}^{2} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(d*x^n + c)^2*(e*x)^m/(b*x^n + a)^2, x)","F",0
14,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^2/(a+b*x^n)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(d x^{n} + c\right)}^{2} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^n + A)*(d*x^n + c)^2*(e*x)^m/(b*x^n + a)^3, x)","F",0
15,-1,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^3*(A+B*x^n)*(c+d*x^n)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,1,15358,0,1.302987," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)*(c+d*x^n)^3,x, algorithm=""giac"")","\frac{B b^{2} d^{3} m^{6} x x^{m} x^{6 \, n} e^{m} + 15 \, B b^{2} d^{3} m^{5} n x x^{m} x^{6 \, n} e^{m} + 85 \, B b^{2} d^{3} m^{4} n^{2} x x^{m} x^{6 \, n} e^{m} + 225 \, B b^{2} d^{3} m^{3} n^{3} x x^{m} x^{6 \, n} e^{m} + 274 \, B b^{2} d^{3} m^{2} n^{4} x x^{m} x^{6 \, n} e^{m} + 120 \, B b^{2} d^{3} m n^{5} x x^{m} x^{6 \, n} e^{m} + 3 \, B b^{2} c d^{2} m^{6} x x^{m} x^{5 \, n} e^{m} + 2 \, B a b d^{3} m^{6} x x^{m} x^{5 \, n} e^{m} + A b^{2} d^{3} m^{6} x x^{m} x^{5 \, n} e^{m} + 48 \, B b^{2} c d^{2} m^{5} n x x^{m} x^{5 \, n} e^{m} + 32 \, B a b d^{3} m^{5} n x x^{m} x^{5 \, n} e^{m} + 16 \, A b^{2} d^{3} m^{5} n x x^{m} x^{5 \, n} e^{m} + 285 \, B b^{2} c d^{2} m^{4} n^{2} x x^{m} x^{5 \, n} e^{m} + 190 \, B a b d^{3} m^{4} n^{2} x x^{m} x^{5 \, n} e^{m} + 95 \, A b^{2} d^{3} m^{4} n^{2} x x^{m} x^{5 \, n} e^{m} + 780 \, B b^{2} c d^{2} m^{3} n^{3} x x^{m} x^{5 \, n} e^{m} + 520 \, B a b d^{3} m^{3} n^{3} x x^{m} x^{5 \, n} e^{m} + 260 \, A b^{2} d^{3} m^{3} n^{3} x x^{m} x^{5 \, n} e^{m} + 972 \, B b^{2} c d^{2} m^{2} n^{4} x x^{m} x^{5 \, n} e^{m} + 648 \, B a b d^{3} m^{2} n^{4} x x^{m} x^{5 \, n} e^{m} + 324 \, A b^{2} d^{3} m^{2} n^{4} x x^{m} x^{5 \, n} e^{m} + 432 \, B b^{2} c d^{2} m n^{5} x x^{m} x^{5 \, n} e^{m} + 288 \, B a b d^{3} m n^{5} x x^{m} x^{5 \, n} e^{m} + 144 \, A b^{2} d^{3} m n^{5} x x^{m} x^{5 \, n} e^{m} + 3 \, B b^{2} c^{2} d m^{6} x x^{m} x^{4 \, n} e^{m} + 6 \, B a b c d^{2} m^{6} x x^{m} x^{4 \, n} e^{m} + 3 \, A b^{2} c d^{2} m^{6} x x^{m} x^{4 \, n} e^{m} + B a^{2} d^{3} m^{6} x x^{m} x^{4 \, n} e^{m} + 2 \, A a b d^{3} m^{6} x x^{m} x^{4 \, n} e^{m} + 51 \, B b^{2} c^{2} d m^{5} n x x^{m} x^{4 \, n} e^{m} + 102 \, B a b c d^{2} m^{5} n x x^{m} x^{4 \, n} e^{m} + 51 \, A b^{2} c d^{2} m^{5} n x x^{m} x^{4 \, n} e^{m} + 17 \, B a^{2} d^{3} m^{5} n x x^{m} x^{4 \, n} e^{m} + 34 \, A a b d^{3} m^{5} n x x^{m} x^{4 \, n} e^{m} + 321 \, B b^{2} c^{2} d m^{4} n^{2} x x^{m} x^{4 \, n} e^{m} + 642 \, B a b c d^{2} m^{4} n^{2} x x^{m} x^{4 \, n} e^{m} + 321 \, A b^{2} c d^{2} m^{4} n^{2} x x^{m} x^{4 \, n} e^{m} + 107 \, B a^{2} d^{3} m^{4} n^{2} x x^{m} x^{4 \, n} e^{m} + 214 \, A a b d^{3} m^{4} n^{2} x x^{m} x^{4 \, n} e^{m} + 921 \, B b^{2} c^{2} d m^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 1842 \, B a b c d^{2} m^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 921 \, A b^{2} c d^{2} m^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 307 \, B a^{2} d^{3} m^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 614 \, A a b d^{3} m^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 1188 \, B b^{2} c^{2} d m^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 2376 \, B a b c d^{2} m^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 1188 \, A b^{2} c d^{2} m^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 396 \, B a^{2} d^{3} m^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 792 \, A a b d^{3} m^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 540 \, B b^{2} c^{2} d m n^{5} x x^{m} x^{4 \, n} e^{m} + 1080 \, B a b c d^{2} m n^{5} x x^{m} x^{4 \, n} e^{m} + 540 \, A b^{2} c d^{2} m n^{5} x x^{m} x^{4 \, n} e^{m} + 180 \, B a^{2} d^{3} m n^{5} x x^{m} x^{4 \, n} e^{m} + 360 \, A a b d^{3} m n^{5} x x^{m} x^{4 \, n} e^{m} + B b^{2} c^{3} m^{6} x x^{m} x^{3 \, n} e^{m} + 6 \, B a b c^{2} d m^{6} x x^{m} x^{3 \, n} e^{m} + 3 \, A b^{2} c^{2} d m^{6} x x^{m} x^{3 \, n} e^{m} + 3 \, B a^{2} c d^{2} m^{6} x x^{m} x^{3 \, n} e^{m} + 6 \, A a b c d^{2} m^{6} x x^{m} x^{3 \, n} e^{m} + A a^{2} d^{3} m^{6} x x^{m} x^{3 \, n} e^{m} + 18 \, B b^{2} c^{3} m^{5} n x x^{m} x^{3 \, n} e^{m} + 108 \, B a b c^{2} d m^{5} n x x^{m} x^{3 \, n} e^{m} + 54 \, A b^{2} c^{2} d m^{5} n x x^{m} x^{3 \, n} e^{m} + 54 \, B a^{2} c d^{2} m^{5} n x x^{m} x^{3 \, n} e^{m} + 108 \, A a b c d^{2} m^{5} n x x^{m} x^{3 \, n} e^{m} + 18 \, A a^{2} d^{3} m^{5} n x x^{m} x^{3 \, n} e^{m} + 121 \, B b^{2} c^{3} m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, B a b c^{2} d m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 363 \, A b^{2} c^{2} d m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 363 \, B a^{2} c d^{2} m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, A a b c d^{2} m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 121 \, A a^{2} d^{3} m^{4} n^{2} x x^{m} x^{3 \, n} e^{m} + 372 \, B b^{2} c^{3} m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 2232 \, B a b c^{2} d m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 1116 \, A b^{2} c^{2} d m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 1116 \, B a^{2} c d^{2} m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 2232 \, A a b c d^{2} m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 372 \, A a^{2} d^{3} m^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 508 \, B b^{2} c^{3} m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 3048 \, B a b c^{2} d m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 1524 \, A b^{2} c^{2} d m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 1524 \, B a^{2} c d^{2} m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 3048 \, A a b c d^{2} m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 508 \, A a^{2} d^{3} m^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 240 \, B b^{2} c^{3} m n^{5} x x^{m} x^{3 \, n} e^{m} + 1440 \, B a b c^{2} d m n^{5} x x^{m} x^{3 \, n} e^{m} + 720 \, A b^{2} c^{2} d m n^{5} x x^{m} x^{3 \, n} e^{m} + 720 \, B a^{2} c d^{2} m n^{5} x x^{m} x^{3 \, n} e^{m} + 1440 \, A a b c d^{2} m n^{5} x x^{m} x^{3 \, n} e^{m} + 240 \, A a^{2} d^{3} m n^{5} x x^{m} x^{3 \, n} e^{m} + 2 \, B a b c^{3} m^{6} x x^{m} x^{2 \, n} e^{m} + A b^{2} c^{3} m^{6} x x^{m} x^{2 \, n} e^{m} + 3 \, B a^{2} c^{2} d m^{6} x x^{m} x^{2 \, n} e^{m} + 6 \, A a b c^{2} d m^{6} x x^{m} x^{2 \, n} e^{m} + 3 \, A a^{2} c d^{2} m^{6} x x^{m} x^{2 \, n} e^{m} + 38 \, B a b c^{3} m^{5} n x x^{m} x^{2 \, n} e^{m} + 19 \, A b^{2} c^{3} m^{5} n x x^{m} x^{2 \, n} e^{m} + 57 \, B a^{2} c^{2} d m^{5} n x x^{m} x^{2 \, n} e^{m} + 114 \, A a b c^{2} d m^{5} n x x^{m} x^{2 \, n} e^{m} + 57 \, A a^{2} c d^{2} m^{5} n x x^{m} x^{2 \, n} e^{m} + 274 \, B a b c^{3} m^{4} n^{2} x x^{m} x^{2 \, n} e^{m} + 137 \, A b^{2} c^{3} m^{4} n^{2} x x^{m} x^{2 \, n} e^{m} + 411 \, B a^{2} c^{2} d m^{4} n^{2} x x^{m} x^{2 \, n} e^{m} + 822 \, A a b c^{2} d m^{4} n^{2} x x^{m} x^{2 \, n} e^{m} + 411 \, A a^{2} c d^{2} m^{4} n^{2} x x^{m} x^{2 \, n} e^{m} + 922 \, B a b c^{3} m^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 461 \, A b^{2} c^{3} m^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 1383 \, B a^{2} c^{2} d m^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 2766 \, A a b c^{2} d m^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 1383 \, A a^{2} c d^{2} m^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 1404 \, B a b c^{3} m^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 702 \, A b^{2} c^{3} m^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 2106 \, B a^{2} c^{2} d m^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 4212 \, A a b c^{2} d m^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 2106 \, A a^{2} c d^{2} m^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 720 \, B a b c^{3} m n^{5} x x^{m} x^{2 \, n} e^{m} + 360 \, A b^{2} c^{3} m n^{5} x x^{m} x^{2 \, n} e^{m} + 1080 \, B a^{2} c^{2} d m n^{5} x x^{m} x^{2 \, n} e^{m} + 2160 \, A a b c^{2} d m n^{5} x x^{m} x^{2 \, n} e^{m} + 1080 \, A a^{2} c d^{2} m n^{5} x x^{m} x^{2 \, n} e^{m} + B a^{2} c^{3} m^{6} x x^{m} x^{n} e^{m} + 2 \, A a b c^{3} m^{6} x x^{m} x^{n} e^{m} + 3 \, A a^{2} c^{2} d m^{6} x x^{m} x^{n} e^{m} + 20 \, B a^{2} c^{3} m^{5} n x x^{m} x^{n} e^{m} + 40 \, A a b c^{3} m^{5} n x x^{m} x^{n} e^{m} + 60 \, A a^{2} c^{2} d m^{5} n x x^{m} x^{n} e^{m} + 155 \, B a^{2} c^{3} m^{4} n^{2} x x^{m} x^{n} e^{m} + 310 \, A a b c^{3} m^{4} n^{2} x x^{m} x^{n} e^{m} + 465 \, A a^{2} c^{2} d m^{4} n^{2} x x^{m} x^{n} e^{m} + 580 \, B a^{2} c^{3} m^{3} n^{3} x x^{m} x^{n} e^{m} + 1160 \, A a b c^{3} m^{3} n^{3} x x^{m} x^{n} e^{m} + 1740 \, A a^{2} c^{2} d m^{3} n^{3} x x^{m} x^{n} e^{m} + 1044 \, B a^{2} c^{3} m^{2} n^{4} x x^{m} x^{n} e^{m} + 2088 \, A a b c^{3} m^{2} n^{4} x x^{m} x^{n} e^{m} + 3132 \, A a^{2} c^{2} d m^{2} n^{4} x x^{m} x^{n} e^{m} + 720 \, B a^{2} c^{3} m n^{5} x x^{m} x^{n} e^{m} + 1440 \, A a b c^{3} m n^{5} x x^{m} x^{n} e^{m} + 2160 \, A a^{2} c^{2} d m n^{5} x x^{m} x^{n} e^{m} + A a^{2} c^{3} m^{6} x x^{m} e^{m} + 21 \, A a^{2} c^{3} m^{5} n x x^{m} e^{m} + 175 \, A a^{2} c^{3} m^{4} n^{2} x x^{m} e^{m} + 735 \, A a^{2} c^{3} m^{3} n^{3} x x^{m} e^{m} + 1624 \, A a^{2} c^{3} m^{2} n^{4} x x^{m} e^{m} + 1764 \, A a^{2} c^{3} m n^{5} x x^{m} e^{m} + 720 \, A a^{2} c^{3} n^{6} x x^{m} e^{m} + 6 \, B b^{2} d^{3} m^{5} x x^{m} x^{6 \, n} e^{m} + 75 \, B b^{2} d^{3} m^{4} n x x^{m} x^{6 \, n} e^{m} + 340 \, B b^{2} d^{3} m^{3} n^{2} x x^{m} x^{6 \, n} e^{m} + 675 \, B b^{2} d^{3} m^{2} n^{3} x x^{m} x^{6 \, n} e^{m} + 548 \, B b^{2} d^{3} m n^{4} x x^{m} x^{6 \, n} e^{m} + 120 \, B b^{2} d^{3} n^{5} x x^{m} x^{6 \, n} e^{m} + 18 \, B b^{2} c d^{2} m^{5} x x^{m} x^{5 \, n} e^{m} + 12 \, B a b d^{3} m^{5} x x^{m} x^{5 \, n} e^{m} + 6 \, A b^{2} d^{3} m^{5} x x^{m} x^{5 \, n} e^{m} + 240 \, B b^{2} c d^{2} m^{4} n x x^{m} x^{5 \, n} e^{m} + 160 \, B a b d^{3} m^{4} n x x^{m} x^{5 \, n} e^{m} + 80 \, A b^{2} d^{3} m^{4} n x x^{m} x^{5 \, n} e^{m} + 1140 \, B b^{2} c d^{2} m^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 760 \, B a b d^{3} m^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 380 \, A b^{2} d^{3} m^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 2340 \, B b^{2} c d^{2} m^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 1560 \, B a b d^{3} m^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 780 \, A b^{2} d^{3} m^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 1944 \, B b^{2} c d^{2} m n^{4} x x^{m} x^{5 \, n} e^{m} + 1296 \, B a b d^{3} m n^{4} x x^{m} x^{5 \, n} e^{m} + 648 \, A b^{2} d^{3} m n^{4} x x^{m} x^{5 \, n} e^{m} + 432 \, B b^{2} c d^{2} n^{5} x x^{m} x^{5 \, n} e^{m} + 288 \, B a b d^{3} n^{5} x x^{m} x^{5 \, n} e^{m} + 144 \, A b^{2} d^{3} n^{5} x x^{m} x^{5 \, n} e^{m} + 18 \, B b^{2} c^{2} d m^{5} x x^{m} x^{4 \, n} e^{m} + 36 \, B a b c d^{2} m^{5} x x^{m} x^{4 \, n} e^{m} + 18 \, A b^{2} c d^{2} m^{5} x x^{m} x^{4 \, n} e^{m} + 6 \, B a^{2} d^{3} m^{5} x x^{m} x^{4 \, n} e^{m} + 12 \, A a b d^{3} m^{5} x x^{m} x^{4 \, n} e^{m} + 255 \, B b^{2} c^{2} d m^{4} n x x^{m} x^{4 \, n} e^{m} + 510 \, B a b c d^{2} m^{4} n x x^{m} x^{4 \, n} e^{m} + 255 \, A b^{2} c d^{2} m^{4} n x x^{m} x^{4 \, n} e^{m} + 85 \, B a^{2} d^{3} m^{4} n x x^{m} x^{4 \, n} e^{m} + 170 \, A a b d^{3} m^{4} n x x^{m} x^{4 \, n} e^{m} + 1284 \, B b^{2} c^{2} d m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 2568 \, B a b c d^{2} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 1284 \, A b^{2} c d^{2} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 428 \, B a^{2} d^{3} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 856 \, A a b d^{3} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 2763 \, B b^{2} c^{2} d m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 5526 \, B a b c d^{2} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 2763 \, A b^{2} c d^{2} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 921 \, B a^{2} d^{3} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 1842 \, A a b d^{3} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 2376 \, B b^{2} c^{2} d m n^{4} x x^{m} x^{4 \, n} e^{m} + 4752 \, B a b c d^{2} m n^{4} x x^{m} x^{4 \, n} e^{m} + 2376 \, A b^{2} c d^{2} m n^{4} x x^{m} x^{4 \, n} e^{m} + 792 \, B a^{2} d^{3} m n^{4} x x^{m} x^{4 \, n} e^{m} + 1584 \, A a b d^{3} m n^{4} x x^{m} x^{4 \, n} e^{m} + 540 \, B b^{2} c^{2} d n^{5} x x^{m} x^{4 \, n} e^{m} + 1080 \, B a b c d^{2} n^{5} x x^{m} x^{4 \, n} e^{m} + 540 \, A b^{2} c d^{2} n^{5} x x^{m} x^{4 \, n} e^{m} + 180 \, B a^{2} d^{3} n^{5} x x^{m} x^{4 \, n} e^{m} + 360 \, A a b d^{3} n^{5} x x^{m} x^{4 \, n} e^{m} + 6 \, B b^{2} c^{3} m^{5} x x^{m} x^{3 \, n} e^{m} + 36 \, B a b c^{2} d m^{5} x x^{m} x^{3 \, n} e^{m} + 18 \, A b^{2} c^{2} d m^{5} x x^{m} x^{3 \, n} e^{m} + 18 \, B a^{2} c d^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + 36 \, A a b c d^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + 6 \, A a^{2} d^{3} m^{5} x x^{m} x^{3 \, n} e^{m} + 90 \, B b^{2} c^{3} m^{4} n x x^{m} x^{3 \, n} e^{m} + 540 \, B a b c^{2} d m^{4} n x x^{m} x^{3 \, n} e^{m} + 270 \, A b^{2} c^{2} d m^{4} n x x^{m} x^{3 \, n} e^{m} + 270 \, B a^{2} c d^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 540 \, A a b c d^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 90 \, A a^{2} d^{3} m^{4} n x x^{m} x^{3 \, n} e^{m} + 484 \, B b^{2} c^{3} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 2904 \, B a b c^{2} d m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 1452 \, A b^{2} c^{2} d m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 1452 \, B a^{2} c d^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 2904 \, A a b c d^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 484 \, A a^{2} d^{3} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 1116 \, B b^{2} c^{3} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 6696 \, B a b c^{2} d m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 3348 \, A b^{2} c^{2} d m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 3348 \, B a^{2} c d^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 6696 \, A a b c d^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 1116 \, A a^{2} d^{3} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 1016 \, B b^{2} c^{3} m n^{4} x x^{m} x^{3 \, n} e^{m} + 6096 \, B a b c^{2} d m n^{4} x x^{m} x^{3 \, n} e^{m} + 3048 \, A b^{2} c^{2} d m n^{4} x x^{m} x^{3 \, n} e^{m} + 3048 \, B a^{2} c d^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 6096 \, A a b c d^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 1016 \, A a^{2} d^{3} m n^{4} x x^{m} x^{3 \, n} e^{m} + 240 \, B b^{2} c^{3} n^{5} x x^{m} x^{3 \, n} e^{m} + 1440 \, B a b c^{2} d n^{5} x x^{m} x^{3 \, n} e^{m} + 720 \, A b^{2} c^{2} d n^{5} x x^{m} x^{3 \, n} e^{m} + 720 \, B a^{2} c d^{2} n^{5} x x^{m} x^{3 \, n} e^{m} + 1440 \, A a b c d^{2} n^{5} x x^{m} x^{3 \, n} e^{m} + 240 \, A a^{2} d^{3} n^{5} x x^{m} x^{3 \, n} e^{m} + 12 \, B a b c^{3} m^{5} x x^{m} x^{2 \, n} e^{m} + 6 \, A b^{2} c^{3} m^{5} x x^{m} x^{2 \, n} e^{m} + 18 \, B a^{2} c^{2} d m^{5} x x^{m} x^{2 \, n} e^{m} + 36 \, A a b c^{2} d m^{5} x x^{m} x^{2 \, n} e^{m} + 18 \, A a^{2} c d^{2} m^{5} x x^{m} x^{2 \, n} e^{m} + 190 \, B a b c^{3} m^{4} n x x^{m} x^{2 \, n} e^{m} + 95 \, A b^{2} c^{3} m^{4} n x x^{m} x^{2 \, n} e^{m} + 285 \, B a^{2} c^{2} d m^{4} n x x^{m} x^{2 \, n} e^{m} + 570 \, A a b c^{2} d m^{4} n x x^{m} x^{2 \, n} e^{m} + 285 \, A a^{2} c d^{2} m^{4} n x x^{m} x^{2 \, n} e^{m} + 1096 \, B a b c^{3} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 548 \, A b^{2} c^{3} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 1644 \, B a^{2} c^{2} d m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 3288 \, A a b c^{2} d m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 1644 \, A a^{2} c d^{2} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 2766 \, B a b c^{3} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 1383 \, A b^{2} c^{3} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 4149 \, B a^{2} c^{2} d m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 8298 \, A a b c^{2} d m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 4149 \, A a^{2} c d^{2} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 2808 \, B a b c^{3} m n^{4} x x^{m} x^{2 \, n} e^{m} + 1404 \, A b^{2} c^{3} m n^{4} x x^{m} x^{2 \, n} e^{m} + 4212 \, B a^{2} c^{2} d m n^{4} x x^{m} x^{2 \, n} e^{m} + 8424 \, A a b c^{2} d m n^{4} x x^{m} x^{2 \, n} e^{m} + 4212 \, A a^{2} c d^{2} m n^{4} x x^{m} x^{2 \, n} e^{m} + 720 \, B a b c^{3} n^{5} x x^{m} x^{2 \, n} e^{m} + 360 \, A b^{2} c^{3} n^{5} x x^{m} x^{2 \, n} e^{m} + 1080 \, B a^{2} c^{2} d n^{5} x x^{m} x^{2 \, n} e^{m} + 2160 \, A a b c^{2} d n^{5} x x^{m} x^{2 \, n} e^{m} + 1080 \, A a^{2} c d^{2} n^{5} x x^{m} x^{2 \, n} e^{m} + 6 \, B a^{2} c^{3} m^{5} x x^{m} x^{n} e^{m} + 12 \, A a b c^{3} m^{5} x x^{m} x^{n} e^{m} + 18 \, A a^{2} c^{2} d m^{5} x x^{m} x^{n} e^{m} + 100 \, B a^{2} c^{3} m^{4} n x x^{m} x^{n} e^{m} + 200 \, A a b c^{3} m^{4} n x x^{m} x^{n} e^{m} + 300 \, A a^{2} c^{2} d m^{4} n x x^{m} x^{n} e^{m} + 620 \, B a^{2} c^{3} m^{3} n^{2} x x^{m} x^{n} e^{m} + 1240 \, A a b c^{3} m^{3} n^{2} x x^{m} x^{n} e^{m} + 1860 \, A a^{2} c^{2} d m^{3} n^{2} x x^{m} x^{n} e^{m} + 1740 \, B a^{2} c^{3} m^{2} n^{3} x x^{m} x^{n} e^{m} + 3480 \, A a b c^{3} m^{2} n^{3} x x^{m} x^{n} e^{m} + 5220 \, A a^{2} c^{2} d m^{2} n^{3} x x^{m} x^{n} e^{m} + 2088 \, B a^{2} c^{3} m n^{4} x x^{m} x^{n} e^{m} + 4176 \, A a b c^{3} m n^{4} x x^{m} x^{n} e^{m} + 6264 \, A a^{2} c^{2} d m n^{4} x x^{m} x^{n} e^{m} + 720 \, B a^{2} c^{3} n^{5} x x^{m} x^{n} e^{m} + 1440 \, A a b c^{3} n^{5} x x^{m} x^{n} e^{m} + 2160 \, A a^{2} c^{2} d n^{5} x x^{m} x^{n} e^{m} + 6 \, A a^{2} c^{3} m^{5} x x^{m} e^{m} + 105 \, A a^{2} c^{3} m^{4} n x x^{m} e^{m} + 700 \, A a^{2} c^{3} m^{3} n^{2} x x^{m} e^{m} + 2205 \, A a^{2} c^{3} m^{2} n^{3} x x^{m} e^{m} + 3248 \, A a^{2} c^{3} m n^{4} x x^{m} e^{m} + 1764 \, A a^{2} c^{3} n^{5} x x^{m} e^{m} + 15 \, B b^{2} d^{3} m^{4} x x^{m} x^{6 \, n} e^{m} + 150 \, B b^{2} d^{3} m^{3} n x x^{m} x^{6 \, n} e^{m} + 510 \, B b^{2} d^{3} m^{2} n^{2} x x^{m} x^{6 \, n} e^{m} + 675 \, B b^{2} d^{3} m n^{3} x x^{m} x^{6 \, n} e^{m} + 274 \, B b^{2} d^{3} n^{4} x x^{m} x^{6 \, n} e^{m} + 45 \, B b^{2} c d^{2} m^{4} x x^{m} x^{5 \, n} e^{m} + 30 \, B a b d^{3} m^{4} x x^{m} x^{5 \, n} e^{m} + 15 \, A b^{2} d^{3} m^{4} x x^{m} x^{5 \, n} e^{m} + 480 \, B b^{2} c d^{2} m^{3} n x x^{m} x^{5 \, n} e^{m} + 320 \, B a b d^{3} m^{3} n x x^{m} x^{5 \, n} e^{m} + 160 \, A b^{2} d^{3} m^{3} n x x^{m} x^{5 \, n} e^{m} + 1710 \, B b^{2} c d^{2} m^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 1140 \, B a b d^{3} m^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 570 \, A b^{2} d^{3} m^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 2340 \, B b^{2} c d^{2} m n^{3} x x^{m} x^{5 \, n} e^{m} + 1560 \, B a b d^{3} m n^{3} x x^{m} x^{5 \, n} e^{m} + 780 \, A b^{2} d^{3} m n^{3} x x^{m} x^{5 \, n} e^{m} + 972 \, B b^{2} c d^{2} n^{4} x x^{m} x^{5 \, n} e^{m} + 648 \, B a b d^{3} n^{4} x x^{m} x^{5 \, n} e^{m} + 324 \, A b^{2} d^{3} n^{4} x x^{m} x^{5 \, n} e^{m} + 45 \, B b^{2} c^{2} d m^{4} x x^{m} x^{4 \, n} e^{m} + 90 \, B a b c d^{2} m^{4} x x^{m} x^{4 \, n} e^{m} + 45 \, A b^{2} c d^{2} m^{4} x x^{m} x^{4 \, n} e^{m} + 15 \, B a^{2} d^{3} m^{4} x x^{m} x^{4 \, n} e^{m} + 30 \, A a b d^{3} m^{4} x x^{m} x^{4 \, n} e^{m} + 510 \, B b^{2} c^{2} d m^{3} n x x^{m} x^{4 \, n} e^{m} + 1020 \, B a b c d^{2} m^{3} n x x^{m} x^{4 \, n} e^{m} + 510 \, A b^{2} c d^{2} m^{3} n x x^{m} x^{4 \, n} e^{m} + 170 \, B a^{2} d^{3} m^{3} n x x^{m} x^{4 \, n} e^{m} + 340 \, A a b d^{3} m^{3} n x x^{m} x^{4 \, n} e^{m} + 1926 \, B b^{2} c^{2} d m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 3852 \, B a b c d^{2} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 1926 \, A b^{2} c d^{2} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 642 \, B a^{2} d^{3} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 1284 \, A a b d^{3} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 2763 \, B b^{2} c^{2} d m n^{3} x x^{m} x^{4 \, n} e^{m} + 5526 \, B a b c d^{2} m n^{3} x x^{m} x^{4 \, n} e^{m} + 2763 \, A b^{2} c d^{2} m n^{3} x x^{m} x^{4 \, n} e^{m} + 921 \, B a^{2} d^{3} m n^{3} x x^{m} x^{4 \, n} e^{m} + 1842 \, A a b d^{3} m n^{3} x x^{m} x^{4 \, n} e^{m} + 1188 \, B b^{2} c^{2} d n^{4} x x^{m} x^{4 \, n} e^{m} + 2376 \, B a b c d^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 1188 \, A b^{2} c d^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 396 \, B a^{2} d^{3} n^{4} x x^{m} x^{4 \, n} e^{m} + 792 \, A a b d^{3} n^{4} x x^{m} x^{4 \, n} e^{m} + 15 \, B b^{2} c^{3} m^{4} x x^{m} x^{3 \, n} e^{m} + 90 \, B a b c^{2} d m^{4} x x^{m} x^{3 \, n} e^{m} + 45 \, A b^{2} c^{2} d m^{4} x x^{m} x^{3 \, n} e^{m} + 45 \, B a^{2} c d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 90 \, A a b c d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 15 \, A a^{2} d^{3} m^{4} x x^{m} x^{3 \, n} e^{m} + 180 \, B b^{2} c^{3} m^{3} n x x^{m} x^{3 \, n} e^{m} + 1080 \, B a b c^{2} d m^{3} n x x^{m} x^{3 \, n} e^{m} + 540 \, A b^{2} c^{2} d m^{3} n x x^{m} x^{3 \, n} e^{m} + 540 \, B a^{2} c d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 1080 \, A a b c d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 180 \, A a^{2} d^{3} m^{3} n x x^{m} x^{3 \, n} e^{m} + 726 \, B b^{2} c^{3} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 4356 \, B a b c^{2} d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 2178 \, A b^{2} c^{2} d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 2178 \, B a^{2} c d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 4356 \, A a b c d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, A a^{2} d^{3} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 1116 \, B b^{2} c^{3} m n^{3} x x^{m} x^{3 \, n} e^{m} + 6696 \, B a b c^{2} d m n^{3} x x^{m} x^{3 \, n} e^{m} + 3348 \, A b^{2} c^{2} d m n^{3} x x^{m} x^{3 \, n} e^{m} + 3348 \, B a^{2} c d^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} + 6696 \, A a b c d^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} + 1116 \, A a^{2} d^{3} m n^{3} x x^{m} x^{3 \, n} e^{m} + 508 \, B b^{2} c^{3} n^{4} x x^{m} x^{3 \, n} e^{m} + 3048 \, B a b c^{2} d n^{4} x x^{m} x^{3 \, n} e^{m} + 1524 \, A b^{2} c^{2} d n^{4} x x^{m} x^{3 \, n} e^{m} + 1524 \, B a^{2} c d^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 3048 \, A a b c d^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 508 \, A a^{2} d^{3} n^{4} x x^{m} x^{3 \, n} e^{m} + 30 \, B a b c^{3} m^{4} x x^{m} x^{2 \, n} e^{m} + 15 \, A b^{2} c^{3} m^{4} x x^{m} x^{2 \, n} e^{m} + 45 \, B a^{2} c^{2} d m^{4} x x^{m} x^{2 \, n} e^{m} + 90 \, A a b c^{2} d m^{4} x x^{m} x^{2 \, n} e^{m} + 45 \, A a^{2} c d^{2} m^{4} x x^{m} x^{2 \, n} e^{m} + 380 \, B a b c^{3} m^{3} n x x^{m} x^{2 \, n} e^{m} + 190 \, A b^{2} c^{3} m^{3} n x x^{m} x^{2 \, n} e^{m} + 570 \, B a^{2} c^{2} d m^{3} n x x^{m} x^{2 \, n} e^{m} + 1140 \, A a b c^{2} d m^{3} n x x^{m} x^{2 \, n} e^{m} + 570 \, A a^{2} c d^{2} m^{3} n x x^{m} x^{2 \, n} e^{m} + 1644 \, B a b c^{3} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 822 \, A b^{2} c^{3} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 2466 \, B a^{2} c^{2} d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 4932 \, A a b c^{2} d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 2466 \, A a^{2} c d^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 2766 \, B a b c^{3} m n^{3} x x^{m} x^{2 \, n} e^{m} + 1383 \, A b^{2} c^{3} m n^{3} x x^{m} x^{2 \, n} e^{m} + 4149 \, B a^{2} c^{2} d m n^{3} x x^{m} x^{2 \, n} e^{m} + 8298 \, A a b c^{2} d m n^{3} x x^{m} x^{2 \, n} e^{m} + 4149 \, A a^{2} c d^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + 1404 \, B a b c^{3} n^{4} x x^{m} x^{2 \, n} e^{m} + 702 \, A b^{2} c^{3} n^{4} x x^{m} x^{2 \, n} e^{m} + 2106 \, B a^{2} c^{2} d n^{4} x x^{m} x^{2 \, n} e^{m} + 4212 \, A a b c^{2} d n^{4} x x^{m} x^{2 \, n} e^{m} + 2106 \, A a^{2} c d^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 15 \, B a^{2} c^{3} m^{4} x x^{m} x^{n} e^{m} + 30 \, A a b c^{3} m^{4} x x^{m} x^{n} e^{m} + 45 \, A a^{2} c^{2} d m^{4} x x^{m} x^{n} e^{m} + 200 \, B a^{2} c^{3} m^{3} n x x^{m} x^{n} e^{m} + 400 \, A a b c^{3} m^{3} n x x^{m} x^{n} e^{m} + 600 \, A a^{2} c^{2} d m^{3} n x x^{m} x^{n} e^{m} + 930 \, B a^{2} c^{3} m^{2} n^{2} x x^{m} x^{n} e^{m} + 1860 \, A a b c^{3} m^{2} n^{2} x x^{m} x^{n} e^{m} + 2790 \, A a^{2} c^{2} d m^{2} n^{2} x x^{m} x^{n} e^{m} + 1740 \, B a^{2} c^{3} m n^{3} x x^{m} x^{n} e^{m} + 3480 \, A a b c^{3} m n^{3} x x^{m} x^{n} e^{m} + 5220 \, A a^{2} c^{2} d m n^{3} x x^{m} x^{n} e^{m} + 1044 \, B a^{2} c^{3} n^{4} x x^{m} x^{n} e^{m} + 2088 \, A a b c^{3} n^{4} x x^{m} x^{n} e^{m} + 3132 \, A a^{2} c^{2} d n^{4} x x^{m} x^{n} e^{m} + 15 \, A a^{2} c^{3} m^{4} x x^{m} e^{m} + 210 \, A a^{2} c^{3} m^{3} n x x^{m} e^{m} + 1050 \, A a^{2} c^{3} m^{2} n^{2} x x^{m} e^{m} + 2205 \, A a^{2} c^{3} m n^{3} x x^{m} e^{m} + 1624 \, A a^{2} c^{3} n^{4} x x^{m} e^{m} + 20 \, B b^{2} d^{3} m^{3} x x^{m} x^{6 \, n} e^{m} + 150 \, B b^{2} d^{3} m^{2} n x x^{m} x^{6 \, n} e^{m} + 340 \, B b^{2} d^{3} m n^{2} x x^{m} x^{6 \, n} e^{m} + 225 \, B b^{2} d^{3} n^{3} x x^{m} x^{6 \, n} e^{m} + 60 \, B b^{2} c d^{2} m^{3} x x^{m} x^{5 \, n} e^{m} + 40 \, B a b d^{3} m^{3} x x^{m} x^{5 \, n} e^{m} + 20 \, A b^{2} d^{3} m^{3} x x^{m} x^{5 \, n} e^{m} + 480 \, B b^{2} c d^{2} m^{2} n x x^{m} x^{5 \, n} e^{m} + 320 \, B a b d^{3} m^{2} n x x^{m} x^{5 \, n} e^{m} + 160 \, A b^{2} d^{3} m^{2} n x x^{m} x^{5 \, n} e^{m} + 1140 \, B b^{2} c d^{2} m n^{2} x x^{m} x^{5 \, n} e^{m} + 760 \, B a b d^{3} m n^{2} x x^{m} x^{5 \, n} e^{m} + 380 \, A b^{2} d^{3} m n^{2} x x^{m} x^{5 \, n} e^{m} + 780 \, B b^{2} c d^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 520 \, B a b d^{3} n^{3} x x^{m} x^{5 \, n} e^{m} + 260 \, A b^{2} d^{3} n^{3} x x^{m} x^{5 \, n} e^{m} + 60 \, B b^{2} c^{2} d m^{3} x x^{m} x^{4 \, n} e^{m} + 120 \, B a b c d^{2} m^{3} x x^{m} x^{4 \, n} e^{m} + 60 \, A b^{2} c d^{2} m^{3} x x^{m} x^{4 \, n} e^{m} + 20 \, B a^{2} d^{3} m^{3} x x^{m} x^{4 \, n} e^{m} + 40 \, A a b d^{3} m^{3} x x^{m} x^{4 \, n} e^{m} + 510 \, B b^{2} c^{2} d m^{2} n x x^{m} x^{4 \, n} e^{m} + 1020 \, B a b c d^{2} m^{2} n x x^{m} x^{4 \, n} e^{m} + 510 \, A b^{2} c d^{2} m^{2} n x x^{m} x^{4 \, n} e^{m} + 170 \, B a^{2} d^{3} m^{2} n x x^{m} x^{4 \, n} e^{m} + 340 \, A a b d^{3} m^{2} n x x^{m} x^{4 \, n} e^{m} + 1284 \, B b^{2} c^{2} d m n^{2} x x^{m} x^{4 \, n} e^{m} + 2568 \, B a b c d^{2} m n^{2} x x^{m} x^{4 \, n} e^{m} + 1284 \, A b^{2} c d^{2} m n^{2} x x^{m} x^{4 \, n} e^{m} + 428 \, B a^{2} d^{3} m n^{2} x x^{m} x^{4 \, n} e^{m} + 856 \, A a b d^{3} m n^{2} x x^{m} x^{4 \, n} e^{m} + 921 \, B b^{2} c^{2} d n^{3} x x^{m} x^{4 \, n} e^{m} + 1842 \, B a b c d^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 921 \, A b^{2} c d^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 307 \, B a^{2} d^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 614 \, A a b d^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 20 \, B b^{2} c^{3} m^{3} x x^{m} x^{3 \, n} e^{m} + 120 \, B a b c^{2} d m^{3} x x^{m} x^{3 \, n} e^{m} + 60 \, A b^{2} c^{2} d m^{3} x x^{m} x^{3 \, n} e^{m} + 60 \, B a^{2} c d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 120 \, A a b c d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 20 \, A a^{2} d^{3} m^{3} x x^{m} x^{3 \, n} e^{m} + 180 \, B b^{2} c^{3} m^{2} n x x^{m} x^{3 \, n} e^{m} + 1080 \, B a b c^{2} d m^{2} n x x^{m} x^{3 \, n} e^{m} + 540 \, A b^{2} c^{2} d m^{2} n x x^{m} x^{3 \, n} e^{m} + 540 \, B a^{2} c d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 1080 \, A a b c d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 180 \, A a^{2} d^{3} m^{2} n x x^{m} x^{3 \, n} e^{m} + 484 \, B b^{2} c^{3} m n^{2} x x^{m} x^{3 \, n} e^{m} + 2904 \, B a b c^{2} d m n^{2} x x^{m} x^{3 \, n} e^{m} + 1452 \, A b^{2} c^{2} d m n^{2} x x^{m} x^{3 \, n} e^{m} + 1452 \, B a^{2} c d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 2904 \, A a b c d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 484 \, A a^{2} d^{3} m n^{2} x x^{m} x^{3 \, n} e^{m} + 372 \, B b^{2} c^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 2232 \, B a b c^{2} d n^{3} x x^{m} x^{3 \, n} e^{m} + 1116 \, A b^{2} c^{2} d n^{3} x x^{m} x^{3 \, n} e^{m} + 1116 \, B a^{2} c d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 2232 \, A a b c d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 372 \, A a^{2} d^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 40 \, B a b c^{3} m^{3} x x^{m} x^{2 \, n} e^{m} + 20 \, A b^{2} c^{3} m^{3} x x^{m} x^{2 \, n} e^{m} + 60 \, B a^{2} c^{2} d m^{3} x x^{m} x^{2 \, n} e^{m} + 120 \, A a b c^{2} d m^{3} x x^{m} x^{2 \, n} e^{m} + 60 \, A a^{2} c d^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 380 \, B a b c^{3} m^{2} n x x^{m} x^{2 \, n} e^{m} + 190 \, A b^{2} c^{3} m^{2} n x x^{m} x^{2 \, n} e^{m} + 570 \, B a^{2} c^{2} d m^{2} n x x^{m} x^{2 \, n} e^{m} + 1140 \, A a b c^{2} d m^{2} n x x^{m} x^{2 \, n} e^{m} + 570 \, A a^{2} c d^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 1096 \, B a b c^{3} m n^{2} x x^{m} x^{2 \, n} e^{m} + 548 \, A b^{2} c^{3} m n^{2} x x^{m} x^{2 \, n} e^{m} + 1644 \, B a^{2} c^{2} d m n^{2} x x^{m} x^{2 \, n} e^{m} + 3288 \, A a b c^{2} d m n^{2} x x^{m} x^{2 \, n} e^{m} + 1644 \, A a^{2} c d^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 922 \, B a b c^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 461 \, A b^{2} c^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 1383 \, B a^{2} c^{2} d n^{3} x x^{m} x^{2 \, n} e^{m} + 2766 \, A a b c^{2} d n^{3} x x^{m} x^{2 \, n} e^{m} + 1383 \, A a^{2} c d^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 20 \, B a^{2} c^{3} m^{3} x x^{m} x^{n} e^{m} + 40 \, A a b c^{3} m^{3} x x^{m} x^{n} e^{m} + 60 \, A a^{2} c^{2} d m^{3} x x^{m} x^{n} e^{m} + 200 \, B a^{2} c^{3} m^{2} n x x^{m} x^{n} e^{m} + 400 \, A a b c^{3} m^{2} n x x^{m} x^{n} e^{m} + 600 \, A a^{2} c^{2} d m^{2} n x x^{m} x^{n} e^{m} + 620 \, B a^{2} c^{3} m n^{2} x x^{m} x^{n} e^{m} + 1240 \, A a b c^{3} m n^{2} x x^{m} x^{n} e^{m} + 1860 \, A a^{2} c^{2} d m n^{2} x x^{m} x^{n} e^{m} + 580 \, B a^{2} c^{3} n^{3} x x^{m} x^{n} e^{m} + 1160 \, A a b c^{3} n^{3} x x^{m} x^{n} e^{m} + 1740 \, A a^{2} c^{2} d n^{3} x x^{m} x^{n} e^{m} + 20 \, A a^{2} c^{3} m^{3} x x^{m} e^{m} + 210 \, A a^{2} c^{3} m^{2} n x x^{m} e^{m} + 700 \, A a^{2} c^{3} m n^{2} x x^{m} e^{m} + 735 \, A a^{2} c^{3} n^{3} x x^{m} e^{m} + 15 \, B b^{2} d^{3} m^{2} x x^{m} x^{6 \, n} e^{m} + 75 \, B b^{2} d^{3} m n x x^{m} x^{6 \, n} e^{m} + 85 \, B b^{2} d^{3} n^{2} x x^{m} x^{6 \, n} e^{m} + 45 \, B b^{2} c d^{2} m^{2} x x^{m} x^{5 \, n} e^{m} + 30 \, B a b d^{3} m^{2} x x^{m} x^{5 \, n} e^{m} + 15 \, A b^{2} d^{3} m^{2} x x^{m} x^{5 \, n} e^{m} + 240 \, B b^{2} c d^{2} m n x x^{m} x^{5 \, n} e^{m} + 160 \, B a b d^{3} m n x x^{m} x^{5 \, n} e^{m} + 80 \, A b^{2} d^{3} m n x x^{m} x^{5 \, n} e^{m} + 285 \, B b^{2} c d^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 190 \, B a b d^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 95 \, A b^{2} d^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 45 \, B b^{2} c^{2} d m^{2} x x^{m} x^{4 \, n} e^{m} + 90 \, B a b c d^{2} m^{2} x x^{m} x^{4 \, n} e^{m} + 45 \, A b^{2} c d^{2} m^{2} x x^{m} x^{4 \, n} e^{m} + 15 \, B a^{2} d^{3} m^{2} x x^{m} x^{4 \, n} e^{m} + 30 \, A a b d^{3} m^{2} x x^{m} x^{4 \, n} e^{m} + 255 \, B b^{2} c^{2} d m n x x^{m} x^{4 \, n} e^{m} + 510 \, B a b c d^{2} m n x x^{m} x^{4 \, n} e^{m} + 255 \, A b^{2} c d^{2} m n x x^{m} x^{4 \, n} e^{m} + 85 \, B a^{2} d^{3} m n x x^{m} x^{4 \, n} e^{m} + 170 \, A a b d^{3} m n x x^{m} x^{4 \, n} e^{m} + 321 \, B b^{2} c^{2} d n^{2} x x^{m} x^{4 \, n} e^{m} + 642 \, B a b c d^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 321 \, A b^{2} c d^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 107 \, B a^{2} d^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 214 \, A a b d^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 15 \, B b^{2} c^{3} m^{2} x x^{m} x^{3 \, n} e^{m} + 90 \, B a b c^{2} d m^{2} x x^{m} x^{3 \, n} e^{m} + 45 \, A b^{2} c^{2} d m^{2} x x^{m} x^{3 \, n} e^{m} + 45 \, B a^{2} c d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 90 \, A a b c d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 15 \, A a^{2} d^{3} m^{2} x x^{m} x^{3 \, n} e^{m} + 90 \, B b^{2} c^{3} m n x x^{m} x^{3 \, n} e^{m} + 540 \, B a b c^{2} d m n x x^{m} x^{3 \, n} e^{m} + 270 \, A b^{2} c^{2} d m n x x^{m} x^{3 \, n} e^{m} + 270 \, B a^{2} c d^{2} m n x x^{m} x^{3 \, n} e^{m} + 540 \, A a b c d^{2} m n x x^{m} x^{3 \, n} e^{m} + 90 \, A a^{2} d^{3} m n x x^{m} x^{3 \, n} e^{m} + 121 \, B b^{2} c^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, B a b c^{2} d n^{2} x x^{m} x^{3 \, n} e^{m} + 363 \, A b^{2} c^{2} d n^{2} x x^{m} x^{3 \, n} e^{m} + 363 \, B a^{2} c d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 726 \, A a b c d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 121 \, A a^{2} d^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 30 \, B a b c^{3} m^{2} x x^{m} x^{2 \, n} e^{m} + 15 \, A b^{2} c^{3} m^{2} x x^{m} x^{2 \, n} e^{m} + 45 \, B a^{2} c^{2} d m^{2} x x^{m} x^{2 \, n} e^{m} + 90 \, A a b c^{2} d m^{2} x x^{m} x^{2 \, n} e^{m} + 45 \, A a^{2} c d^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 190 \, B a b c^{3} m n x x^{m} x^{2 \, n} e^{m} + 95 \, A b^{2} c^{3} m n x x^{m} x^{2 \, n} e^{m} + 285 \, B a^{2} c^{2} d m n x x^{m} x^{2 \, n} e^{m} + 570 \, A a b c^{2} d m n x x^{m} x^{2 \, n} e^{m} + 285 \, A a^{2} c d^{2} m n x x^{m} x^{2 \, n} e^{m} + 274 \, B a b c^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 137 \, A b^{2} c^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 411 \, B a^{2} c^{2} d n^{2} x x^{m} x^{2 \, n} e^{m} + 822 \, A a b c^{2} d n^{2} x x^{m} x^{2 \, n} e^{m} + 411 \, A a^{2} c d^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 15 \, B a^{2} c^{3} m^{2} x x^{m} x^{n} e^{m} + 30 \, A a b c^{3} m^{2} x x^{m} x^{n} e^{m} + 45 \, A a^{2} c^{2} d m^{2} x x^{m} x^{n} e^{m} + 100 \, B a^{2} c^{3} m n x x^{m} x^{n} e^{m} + 200 \, A a b c^{3} m n x x^{m} x^{n} e^{m} + 300 \, A a^{2} c^{2} d m n x x^{m} x^{n} e^{m} + 155 \, B a^{2} c^{3} n^{2} x x^{m} x^{n} e^{m} + 310 \, A a b c^{3} n^{2} x x^{m} x^{n} e^{m} + 465 \, A a^{2} c^{2} d n^{2} x x^{m} x^{n} e^{m} + 15 \, A a^{2} c^{3} m^{2} x x^{m} e^{m} + 105 \, A a^{2} c^{3} m n x x^{m} e^{m} + 175 \, A a^{2} c^{3} n^{2} x x^{m} e^{m} + 6 \, B b^{2} d^{3} m x x^{m} x^{6 \, n} e^{m} + 15 \, B b^{2} d^{3} n x x^{m} x^{6 \, n} e^{m} + 18 \, B b^{2} c d^{2} m x x^{m} x^{5 \, n} e^{m} + 12 \, B a b d^{3} m x x^{m} x^{5 \, n} e^{m} + 6 \, A b^{2} d^{3} m x x^{m} x^{5 \, n} e^{m} + 48 \, B b^{2} c d^{2} n x x^{m} x^{5 \, n} e^{m} + 32 \, B a b d^{3} n x x^{m} x^{5 \, n} e^{m} + 16 \, A b^{2} d^{3} n x x^{m} x^{5 \, n} e^{m} + 18 \, B b^{2} c^{2} d m x x^{m} x^{4 \, n} e^{m} + 36 \, B a b c d^{2} m x x^{m} x^{4 \, n} e^{m} + 18 \, A b^{2} c d^{2} m x x^{m} x^{4 \, n} e^{m} + 6 \, B a^{2} d^{3} m x x^{m} x^{4 \, n} e^{m} + 12 \, A a b d^{3} m x x^{m} x^{4 \, n} e^{m} + 51 \, B b^{2} c^{2} d n x x^{m} x^{4 \, n} e^{m} + 102 \, B a b c d^{2} n x x^{m} x^{4 \, n} e^{m} + 51 \, A b^{2} c d^{2} n x x^{m} x^{4 \, n} e^{m} + 17 \, B a^{2} d^{3} n x x^{m} x^{4 \, n} e^{m} + 34 \, A a b d^{3} n x x^{m} x^{4 \, n} e^{m} + 6 \, B b^{2} c^{3} m x x^{m} x^{3 \, n} e^{m} + 36 \, B a b c^{2} d m x x^{m} x^{3 \, n} e^{m} + 18 \, A b^{2} c^{2} d m x x^{m} x^{3 \, n} e^{m} + 18 \, B a^{2} c d^{2} m x x^{m} x^{3 \, n} e^{m} + 36 \, A a b c d^{2} m x x^{m} x^{3 \, n} e^{m} + 6 \, A a^{2} d^{3} m x x^{m} x^{3 \, n} e^{m} + 18 \, B b^{2} c^{3} n x x^{m} x^{3 \, n} e^{m} + 108 \, B a b c^{2} d n x x^{m} x^{3 \, n} e^{m} + 54 \, A b^{2} c^{2} d n x x^{m} x^{3 \, n} e^{m} + 54 \, B a^{2} c d^{2} n x x^{m} x^{3 \, n} e^{m} + 108 \, A a b c d^{2} n x x^{m} x^{3 \, n} e^{m} + 18 \, A a^{2} d^{3} n x x^{m} x^{3 \, n} e^{m} + 12 \, B a b c^{3} m x x^{m} x^{2 \, n} e^{m} + 6 \, A b^{2} c^{3} m x x^{m} x^{2 \, n} e^{m} + 18 \, B a^{2} c^{2} d m x x^{m} x^{2 \, n} e^{m} + 36 \, A a b c^{2} d m x x^{m} x^{2 \, n} e^{m} + 18 \, A a^{2} c d^{2} m x x^{m} x^{2 \, n} e^{m} + 38 \, B a b c^{3} n x x^{m} x^{2 \, n} e^{m} + 19 \, A b^{2} c^{3} n x x^{m} x^{2 \, n} e^{m} + 57 \, B a^{2} c^{2} d n x x^{m} x^{2 \, n} e^{m} + 114 \, A a b c^{2} d n x x^{m} x^{2 \, n} e^{m} + 57 \, A a^{2} c d^{2} n x x^{m} x^{2 \, n} e^{m} + 6 \, B a^{2} c^{3} m x x^{m} x^{n} e^{m} + 12 \, A a b c^{3} m x x^{m} x^{n} e^{m} + 18 \, A a^{2} c^{2} d m x x^{m} x^{n} e^{m} + 20 \, B a^{2} c^{3} n x x^{m} x^{n} e^{m} + 40 \, A a b c^{3} n x x^{m} x^{n} e^{m} + 60 \, A a^{2} c^{2} d n x x^{m} x^{n} e^{m} + 6 \, A a^{2} c^{3} m x x^{m} e^{m} + 21 \, A a^{2} c^{3} n x x^{m} e^{m} + B b^{2} d^{3} x x^{m} x^{6 \, n} e^{m} + 3 \, B b^{2} c d^{2} x x^{m} x^{5 \, n} e^{m} + 2 \, B a b d^{3} x x^{m} x^{5 \, n} e^{m} + A b^{2} d^{3} x x^{m} x^{5 \, n} e^{m} + 3 \, B b^{2} c^{2} d x x^{m} x^{4 \, n} e^{m} + 6 \, B a b c d^{2} x x^{m} x^{4 \, n} e^{m} + 3 \, A b^{2} c d^{2} x x^{m} x^{4 \, n} e^{m} + B a^{2} d^{3} x x^{m} x^{4 \, n} e^{m} + 2 \, A a b d^{3} x x^{m} x^{4 \, n} e^{m} + B b^{2} c^{3} x x^{m} x^{3 \, n} e^{m} + 6 \, B a b c^{2} d x x^{m} x^{3 \, n} e^{m} + 3 \, A b^{2} c^{2} d x x^{m} x^{3 \, n} e^{m} + 3 \, B a^{2} c d^{2} x x^{m} x^{3 \, n} e^{m} + 6 \, A a b c d^{2} x x^{m} x^{3 \, n} e^{m} + A a^{2} d^{3} x x^{m} x^{3 \, n} e^{m} + 2 \, B a b c^{3} x x^{m} x^{2 \, n} e^{m} + A b^{2} c^{3} x x^{m} x^{2 \, n} e^{m} + 3 \, B a^{2} c^{2} d x x^{m} x^{2 \, n} e^{m} + 6 \, A a b c^{2} d x x^{m} x^{2 \, n} e^{m} + 3 \, A a^{2} c d^{2} x x^{m} x^{2 \, n} e^{m} + B a^{2} c^{3} x x^{m} x^{n} e^{m} + 2 \, A a b c^{3} x x^{m} x^{n} e^{m} + 3 \, A a^{2} c^{2} d x x^{m} x^{n} e^{m} + A a^{2} c^{3} x x^{m} e^{m}}{m^{7} + 21 \, m^{6} n + 175 \, m^{5} n^{2} + 735 \, m^{4} n^{3} + 1624 \, m^{3} n^{4} + 1764 \, m^{2} n^{5} + 720 \, m n^{6} + 7 \, m^{6} + 126 \, m^{5} n + 875 \, m^{4} n^{2} + 2940 \, m^{3} n^{3} + 4872 \, m^{2} n^{4} + 3528 \, m n^{5} + 720 \, n^{6} + 21 \, m^{5} + 315 \, m^{4} n + 1750 \, m^{3} n^{2} + 4410 \, m^{2} n^{3} + 4872 \, m n^{4} + 1764 \, n^{5} + 35 \, m^{4} + 420 \, m^{3} n + 1750 \, m^{2} n^{2} + 2940 \, m n^{3} + 1624 \, n^{4} + 35 \, m^{3} + 315 \, m^{2} n + 875 \, m n^{2} + 735 \, n^{3} + 21 \, m^{2} + 126 \, m n + 175 \, n^{2} + 7 \, m + 21 \, n + 1}"," ",0,"(B*b^2*d^3*m^6*x*x^m*x^(6*n)*e^m + 15*B*b^2*d^3*m^5*n*x*x^m*x^(6*n)*e^m + 85*B*b^2*d^3*m^4*n^2*x*x^m*x^(6*n)*e^m + 225*B*b^2*d^3*m^3*n^3*x*x^m*x^(6*n)*e^m + 274*B*b^2*d^3*m^2*n^4*x*x^m*x^(6*n)*e^m + 120*B*b^2*d^3*m*n^5*x*x^m*x^(6*n)*e^m + 3*B*b^2*c*d^2*m^6*x*x^m*x^(5*n)*e^m + 2*B*a*b*d^3*m^6*x*x^m*x^(5*n)*e^m + A*b^2*d^3*m^6*x*x^m*x^(5*n)*e^m + 48*B*b^2*c*d^2*m^5*n*x*x^m*x^(5*n)*e^m + 32*B*a*b*d^3*m^5*n*x*x^m*x^(5*n)*e^m + 16*A*b^2*d^3*m^5*n*x*x^m*x^(5*n)*e^m + 285*B*b^2*c*d^2*m^4*n^2*x*x^m*x^(5*n)*e^m + 190*B*a*b*d^3*m^4*n^2*x*x^m*x^(5*n)*e^m + 95*A*b^2*d^3*m^4*n^2*x*x^m*x^(5*n)*e^m + 780*B*b^2*c*d^2*m^3*n^3*x*x^m*x^(5*n)*e^m + 520*B*a*b*d^3*m^3*n^3*x*x^m*x^(5*n)*e^m + 260*A*b^2*d^3*m^3*n^3*x*x^m*x^(5*n)*e^m + 972*B*b^2*c*d^2*m^2*n^4*x*x^m*x^(5*n)*e^m + 648*B*a*b*d^3*m^2*n^4*x*x^m*x^(5*n)*e^m + 324*A*b^2*d^3*m^2*n^4*x*x^m*x^(5*n)*e^m + 432*B*b^2*c*d^2*m*n^5*x*x^m*x^(5*n)*e^m + 288*B*a*b*d^3*m*n^5*x*x^m*x^(5*n)*e^m + 144*A*b^2*d^3*m*n^5*x*x^m*x^(5*n)*e^m + 3*B*b^2*c^2*d*m^6*x*x^m*x^(4*n)*e^m + 6*B*a*b*c*d^2*m^6*x*x^m*x^(4*n)*e^m + 3*A*b^2*c*d^2*m^6*x*x^m*x^(4*n)*e^m + B*a^2*d^3*m^6*x*x^m*x^(4*n)*e^m + 2*A*a*b*d^3*m^6*x*x^m*x^(4*n)*e^m + 51*B*b^2*c^2*d*m^5*n*x*x^m*x^(4*n)*e^m + 102*B*a*b*c*d^2*m^5*n*x*x^m*x^(4*n)*e^m + 51*A*b^2*c*d^2*m^5*n*x*x^m*x^(4*n)*e^m + 17*B*a^2*d^3*m^5*n*x*x^m*x^(4*n)*e^m + 34*A*a*b*d^3*m^5*n*x*x^m*x^(4*n)*e^m + 321*B*b^2*c^2*d*m^4*n^2*x*x^m*x^(4*n)*e^m + 642*B*a*b*c*d^2*m^4*n^2*x*x^m*x^(4*n)*e^m + 321*A*b^2*c*d^2*m^4*n^2*x*x^m*x^(4*n)*e^m + 107*B*a^2*d^3*m^4*n^2*x*x^m*x^(4*n)*e^m + 214*A*a*b*d^3*m^4*n^2*x*x^m*x^(4*n)*e^m + 921*B*b^2*c^2*d*m^3*n^3*x*x^m*x^(4*n)*e^m + 1842*B*a*b*c*d^2*m^3*n^3*x*x^m*x^(4*n)*e^m + 921*A*b^2*c*d^2*m^3*n^3*x*x^m*x^(4*n)*e^m + 307*B*a^2*d^3*m^3*n^3*x*x^m*x^(4*n)*e^m + 614*A*a*b*d^3*m^3*n^3*x*x^m*x^(4*n)*e^m + 1188*B*b^2*c^2*d*m^2*n^4*x*x^m*x^(4*n)*e^m + 2376*B*a*b*c*d^2*m^2*n^4*x*x^m*x^(4*n)*e^m + 1188*A*b^2*c*d^2*m^2*n^4*x*x^m*x^(4*n)*e^m + 396*B*a^2*d^3*m^2*n^4*x*x^m*x^(4*n)*e^m + 792*A*a*b*d^3*m^2*n^4*x*x^m*x^(4*n)*e^m + 540*B*b^2*c^2*d*m*n^5*x*x^m*x^(4*n)*e^m + 1080*B*a*b*c*d^2*m*n^5*x*x^m*x^(4*n)*e^m + 540*A*b^2*c*d^2*m*n^5*x*x^m*x^(4*n)*e^m + 180*B*a^2*d^3*m*n^5*x*x^m*x^(4*n)*e^m + 360*A*a*b*d^3*m*n^5*x*x^m*x^(4*n)*e^m + B*b^2*c^3*m^6*x*x^m*x^(3*n)*e^m + 6*B*a*b*c^2*d*m^6*x*x^m*x^(3*n)*e^m + 3*A*b^2*c^2*d*m^6*x*x^m*x^(3*n)*e^m + 3*B*a^2*c*d^2*m^6*x*x^m*x^(3*n)*e^m + 6*A*a*b*c*d^2*m^6*x*x^m*x^(3*n)*e^m + A*a^2*d^3*m^6*x*x^m*x^(3*n)*e^m + 18*B*b^2*c^3*m^5*n*x*x^m*x^(3*n)*e^m + 108*B*a*b*c^2*d*m^5*n*x*x^m*x^(3*n)*e^m + 54*A*b^2*c^2*d*m^5*n*x*x^m*x^(3*n)*e^m + 54*B*a^2*c*d^2*m^5*n*x*x^m*x^(3*n)*e^m + 108*A*a*b*c*d^2*m^5*n*x*x^m*x^(3*n)*e^m + 18*A*a^2*d^3*m^5*n*x*x^m*x^(3*n)*e^m + 121*B*b^2*c^3*m^4*n^2*x*x^m*x^(3*n)*e^m + 726*B*a*b*c^2*d*m^4*n^2*x*x^m*x^(3*n)*e^m + 363*A*b^2*c^2*d*m^4*n^2*x*x^m*x^(3*n)*e^m + 363*B*a^2*c*d^2*m^4*n^2*x*x^m*x^(3*n)*e^m + 726*A*a*b*c*d^2*m^4*n^2*x*x^m*x^(3*n)*e^m + 121*A*a^2*d^3*m^4*n^2*x*x^m*x^(3*n)*e^m + 372*B*b^2*c^3*m^3*n^3*x*x^m*x^(3*n)*e^m + 2232*B*a*b*c^2*d*m^3*n^3*x*x^m*x^(3*n)*e^m + 1116*A*b^2*c^2*d*m^3*n^3*x*x^m*x^(3*n)*e^m + 1116*B*a^2*c*d^2*m^3*n^3*x*x^m*x^(3*n)*e^m + 2232*A*a*b*c*d^2*m^3*n^3*x*x^m*x^(3*n)*e^m + 372*A*a^2*d^3*m^3*n^3*x*x^m*x^(3*n)*e^m + 508*B*b^2*c^3*m^2*n^4*x*x^m*x^(3*n)*e^m + 3048*B*a*b*c^2*d*m^2*n^4*x*x^m*x^(3*n)*e^m + 1524*A*b^2*c^2*d*m^2*n^4*x*x^m*x^(3*n)*e^m + 1524*B*a^2*c*d^2*m^2*n^4*x*x^m*x^(3*n)*e^m + 3048*A*a*b*c*d^2*m^2*n^4*x*x^m*x^(3*n)*e^m + 508*A*a^2*d^3*m^2*n^4*x*x^m*x^(3*n)*e^m + 240*B*b^2*c^3*m*n^5*x*x^m*x^(3*n)*e^m + 1440*B*a*b*c^2*d*m*n^5*x*x^m*x^(3*n)*e^m + 720*A*b^2*c^2*d*m*n^5*x*x^m*x^(3*n)*e^m + 720*B*a^2*c*d^2*m*n^5*x*x^m*x^(3*n)*e^m + 1440*A*a*b*c*d^2*m*n^5*x*x^m*x^(3*n)*e^m + 240*A*a^2*d^3*m*n^5*x*x^m*x^(3*n)*e^m + 2*B*a*b*c^3*m^6*x*x^m*x^(2*n)*e^m + A*b^2*c^3*m^6*x*x^m*x^(2*n)*e^m + 3*B*a^2*c^2*d*m^6*x*x^m*x^(2*n)*e^m + 6*A*a*b*c^2*d*m^6*x*x^m*x^(2*n)*e^m + 3*A*a^2*c*d^2*m^6*x*x^m*x^(2*n)*e^m + 38*B*a*b*c^3*m^5*n*x*x^m*x^(2*n)*e^m + 19*A*b^2*c^3*m^5*n*x*x^m*x^(2*n)*e^m + 57*B*a^2*c^2*d*m^5*n*x*x^m*x^(2*n)*e^m + 114*A*a*b*c^2*d*m^5*n*x*x^m*x^(2*n)*e^m + 57*A*a^2*c*d^2*m^5*n*x*x^m*x^(2*n)*e^m + 274*B*a*b*c^3*m^4*n^2*x*x^m*x^(2*n)*e^m + 137*A*b^2*c^3*m^4*n^2*x*x^m*x^(2*n)*e^m + 411*B*a^2*c^2*d*m^4*n^2*x*x^m*x^(2*n)*e^m + 822*A*a*b*c^2*d*m^4*n^2*x*x^m*x^(2*n)*e^m + 411*A*a^2*c*d^2*m^4*n^2*x*x^m*x^(2*n)*e^m + 922*B*a*b*c^3*m^3*n^3*x*x^m*x^(2*n)*e^m + 461*A*b^2*c^3*m^3*n^3*x*x^m*x^(2*n)*e^m + 1383*B*a^2*c^2*d*m^3*n^3*x*x^m*x^(2*n)*e^m + 2766*A*a*b*c^2*d*m^3*n^3*x*x^m*x^(2*n)*e^m + 1383*A*a^2*c*d^2*m^3*n^3*x*x^m*x^(2*n)*e^m + 1404*B*a*b*c^3*m^2*n^4*x*x^m*x^(2*n)*e^m + 702*A*b^2*c^3*m^2*n^4*x*x^m*x^(2*n)*e^m + 2106*B*a^2*c^2*d*m^2*n^4*x*x^m*x^(2*n)*e^m + 4212*A*a*b*c^2*d*m^2*n^4*x*x^m*x^(2*n)*e^m + 2106*A*a^2*c*d^2*m^2*n^4*x*x^m*x^(2*n)*e^m + 720*B*a*b*c^3*m*n^5*x*x^m*x^(2*n)*e^m + 360*A*b^2*c^3*m*n^5*x*x^m*x^(2*n)*e^m + 1080*B*a^2*c^2*d*m*n^5*x*x^m*x^(2*n)*e^m + 2160*A*a*b*c^2*d*m*n^5*x*x^m*x^(2*n)*e^m + 1080*A*a^2*c*d^2*m*n^5*x*x^m*x^(2*n)*e^m + B*a^2*c^3*m^6*x*x^m*x^n*e^m + 2*A*a*b*c^3*m^6*x*x^m*x^n*e^m + 3*A*a^2*c^2*d*m^6*x*x^m*x^n*e^m + 20*B*a^2*c^3*m^5*n*x*x^m*x^n*e^m + 40*A*a*b*c^3*m^5*n*x*x^m*x^n*e^m + 60*A*a^2*c^2*d*m^5*n*x*x^m*x^n*e^m + 155*B*a^2*c^3*m^4*n^2*x*x^m*x^n*e^m + 310*A*a*b*c^3*m^4*n^2*x*x^m*x^n*e^m + 465*A*a^2*c^2*d*m^4*n^2*x*x^m*x^n*e^m + 580*B*a^2*c^3*m^3*n^3*x*x^m*x^n*e^m + 1160*A*a*b*c^3*m^3*n^3*x*x^m*x^n*e^m + 1740*A*a^2*c^2*d*m^3*n^3*x*x^m*x^n*e^m + 1044*B*a^2*c^3*m^2*n^4*x*x^m*x^n*e^m + 2088*A*a*b*c^3*m^2*n^4*x*x^m*x^n*e^m + 3132*A*a^2*c^2*d*m^2*n^4*x*x^m*x^n*e^m + 720*B*a^2*c^3*m*n^5*x*x^m*x^n*e^m + 1440*A*a*b*c^3*m*n^5*x*x^m*x^n*e^m + 2160*A*a^2*c^2*d*m*n^5*x*x^m*x^n*e^m + A*a^2*c^3*m^6*x*x^m*e^m + 21*A*a^2*c^3*m^5*n*x*x^m*e^m + 175*A*a^2*c^3*m^4*n^2*x*x^m*e^m + 735*A*a^2*c^3*m^3*n^3*x*x^m*e^m + 1624*A*a^2*c^3*m^2*n^4*x*x^m*e^m + 1764*A*a^2*c^3*m*n^5*x*x^m*e^m + 720*A*a^2*c^3*n^6*x*x^m*e^m + 6*B*b^2*d^3*m^5*x*x^m*x^(6*n)*e^m + 75*B*b^2*d^3*m^4*n*x*x^m*x^(6*n)*e^m + 340*B*b^2*d^3*m^3*n^2*x*x^m*x^(6*n)*e^m + 675*B*b^2*d^3*m^2*n^3*x*x^m*x^(6*n)*e^m + 548*B*b^2*d^3*m*n^4*x*x^m*x^(6*n)*e^m + 120*B*b^2*d^3*n^5*x*x^m*x^(6*n)*e^m + 18*B*b^2*c*d^2*m^5*x*x^m*x^(5*n)*e^m + 12*B*a*b*d^3*m^5*x*x^m*x^(5*n)*e^m + 6*A*b^2*d^3*m^5*x*x^m*x^(5*n)*e^m + 240*B*b^2*c*d^2*m^4*n*x*x^m*x^(5*n)*e^m + 160*B*a*b*d^3*m^4*n*x*x^m*x^(5*n)*e^m + 80*A*b^2*d^3*m^4*n*x*x^m*x^(5*n)*e^m + 1140*B*b^2*c*d^2*m^3*n^2*x*x^m*x^(5*n)*e^m + 760*B*a*b*d^3*m^3*n^2*x*x^m*x^(5*n)*e^m + 380*A*b^2*d^3*m^3*n^2*x*x^m*x^(5*n)*e^m + 2340*B*b^2*c*d^2*m^2*n^3*x*x^m*x^(5*n)*e^m + 1560*B*a*b*d^3*m^2*n^3*x*x^m*x^(5*n)*e^m + 780*A*b^2*d^3*m^2*n^3*x*x^m*x^(5*n)*e^m + 1944*B*b^2*c*d^2*m*n^4*x*x^m*x^(5*n)*e^m + 1296*B*a*b*d^3*m*n^4*x*x^m*x^(5*n)*e^m + 648*A*b^2*d^3*m*n^4*x*x^m*x^(5*n)*e^m + 432*B*b^2*c*d^2*n^5*x*x^m*x^(5*n)*e^m + 288*B*a*b*d^3*n^5*x*x^m*x^(5*n)*e^m + 144*A*b^2*d^3*n^5*x*x^m*x^(5*n)*e^m + 18*B*b^2*c^2*d*m^5*x*x^m*x^(4*n)*e^m + 36*B*a*b*c*d^2*m^5*x*x^m*x^(4*n)*e^m + 18*A*b^2*c*d^2*m^5*x*x^m*x^(4*n)*e^m + 6*B*a^2*d^3*m^5*x*x^m*x^(4*n)*e^m + 12*A*a*b*d^3*m^5*x*x^m*x^(4*n)*e^m + 255*B*b^2*c^2*d*m^4*n*x*x^m*x^(4*n)*e^m + 510*B*a*b*c*d^2*m^4*n*x*x^m*x^(4*n)*e^m + 255*A*b^2*c*d^2*m^4*n*x*x^m*x^(4*n)*e^m + 85*B*a^2*d^3*m^4*n*x*x^m*x^(4*n)*e^m + 170*A*a*b*d^3*m^4*n*x*x^m*x^(4*n)*e^m + 1284*B*b^2*c^2*d*m^3*n^2*x*x^m*x^(4*n)*e^m + 2568*B*a*b*c*d^2*m^3*n^2*x*x^m*x^(4*n)*e^m + 1284*A*b^2*c*d^2*m^3*n^2*x*x^m*x^(4*n)*e^m + 428*B*a^2*d^3*m^3*n^2*x*x^m*x^(4*n)*e^m + 856*A*a*b*d^3*m^3*n^2*x*x^m*x^(4*n)*e^m + 2763*B*b^2*c^2*d*m^2*n^3*x*x^m*x^(4*n)*e^m + 5526*B*a*b*c*d^2*m^2*n^3*x*x^m*x^(4*n)*e^m + 2763*A*b^2*c*d^2*m^2*n^3*x*x^m*x^(4*n)*e^m + 921*B*a^2*d^3*m^2*n^3*x*x^m*x^(4*n)*e^m + 1842*A*a*b*d^3*m^2*n^3*x*x^m*x^(4*n)*e^m + 2376*B*b^2*c^2*d*m*n^4*x*x^m*x^(4*n)*e^m + 4752*B*a*b*c*d^2*m*n^4*x*x^m*x^(4*n)*e^m + 2376*A*b^2*c*d^2*m*n^4*x*x^m*x^(4*n)*e^m + 792*B*a^2*d^3*m*n^4*x*x^m*x^(4*n)*e^m + 1584*A*a*b*d^3*m*n^4*x*x^m*x^(4*n)*e^m + 540*B*b^2*c^2*d*n^5*x*x^m*x^(4*n)*e^m + 1080*B*a*b*c*d^2*n^5*x*x^m*x^(4*n)*e^m + 540*A*b^2*c*d^2*n^5*x*x^m*x^(4*n)*e^m + 180*B*a^2*d^3*n^5*x*x^m*x^(4*n)*e^m + 360*A*a*b*d^3*n^5*x*x^m*x^(4*n)*e^m + 6*B*b^2*c^3*m^5*x*x^m*x^(3*n)*e^m + 36*B*a*b*c^2*d*m^5*x*x^m*x^(3*n)*e^m + 18*A*b^2*c^2*d*m^5*x*x^m*x^(3*n)*e^m + 18*B*a^2*c*d^2*m^5*x*x^m*x^(3*n)*e^m + 36*A*a*b*c*d^2*m^5*x*x^m*x^(3*n)*e^m + 6*A*a^2*d^3*m^5*x*x^m*x^(3*n)*e^m + 90*B*b^2*c^3*m^4*n*x*x^m*x^(3*n)*e^m + 540*B*a*b*c^2*d*m^4*n*x*x^m*x^(3*n)*e^m + 270*A*b^2*c^2*d*m^4*n*x*x^m*x^(3*n)*e^m + 270*B*a^2*c*d^2*m^4*n*x*x^m*x^(3*n)*e^m + 540*A*a*b*c*d^2*m^4*n*x*x^m*x^(3*n)*e^m + 90*A*a^2*d^3*m^4*n*x*x^m*x^(3*n)*e^m + 484*B*b^2*c^3*m^3*n^2*x*x^m*x^(3*n)*e^m + 2904*B*a*b*c^2*d*m^3*n^2*x*x^m*x^(3*n)*e^m + 1452*A*b^2*c^2*d*m^3*n^2*x*x^m*x^(3*n)*e^m + 1452*B*a^2*c*d^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 2904*A*a*b*c*d^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 484*A*a^2*d^3*m^3*n^2*x*x^m*x^(3*n)*e^m + 1116*B*b^2*c^3*m^2*n^3*x*x^m*x^(3*n)*e^m + 6696*B*a*b*c^2*d*m^2*n^3*x*x^m*x^(3*n)*e^m + 3348*A*b^2*c^2*d*m^2*n^3*x*x^m*x^(3*n)*e^m + 3348*B*a^2*c*d^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 6696*A*a*b*c*d^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 1116*A*a^2*d^3*m^2*n^3*x*x^m*x^(3*n)*e^m + 1016*B*b^2*c^3*m*n^4*x*x^m*x^(3*n)*e^m + 6096*B*a*b*c^2*d*m*n^4*x*x^m*x^(3*n)*e^m + 3048*A*b^2*c^2*d*m*n^4*x*x^m*x^(3*n)*e^m + 3048*B*a^2*c*d^2*m*n^4*x*x^m*x^(3*n)*e^m + 6096*A*a*b*c*d^2*m*n^4*x*x^m*x^(3*n)*e^m + 1016*A*a^2*d^3*m*n^4*x*x^m*x^(3*n)*e^m + 240*B*b^2*c^3*n^5*x*x^m*x^(3*n)*e^m + 1440*B*a*b*c^2*d*n^5*x*x^m*x^(3*n)*e^m + 720*A*b^2*c^2*d*n^5*x*x^m*x^(3*n)*e^m + 720*B*a^2*c*d^2*n^5*x*x^m*x^(3*n)*e^m + 1440*A*a*b*c*d^2*n^5*x*x^m*x^(3*n)*e^m + 240*A*a^2*d^3*n^5*x*x^m*x^(3*n)*e^m + 12*B*a*b*c^3*m^5*x*x^m*x^(2*n)*e^m + 6*A*b^2*c^3*m^5*x*x^m*x^(2*n)*e^m + 18*B*a^2*c^2*d*m^5*x*x^m*x^(2*n)*e^m + 36*A*a*b*c^2*d*m^5*x*x^m*x^(2*n)*e^m + 18*A*a^2*c*d^2*m^5*x*x^m*x^(2*n)*e^m + 190*B*a*b*c^3*m^4*n*x*x^m*x^(2*n)*e^m + 95*A*b^2*c^3*m^4*n*x*x^m*x^(2*n)*e^m + 285*B*a^2*c^2*d*m^4*n*x*x^m*x^(2*n)*e^m + 570*A*a*b*c^2*d*m^4*n*x*x^m*x^(2*n)*e^m + 285*A*a^2*c*d^2*m^4*n*x*x^m*x^(2*n)*e^m + 1096*B*a*b*c^3*m^3*n^2*x*x^m*x^(2*n)*e^m + 548*A*b^2*c^3*m^3*n^2*x*x^m*x^(2*n)*e^m + 1644*B*a^2*c^2*d*m^3*n^2*x*x^m*x^(2*n)*e^m + 3288*A*a*b*c^2*d*m^3*n^2*x*x^m*x^(2*n)*e^m + 1644*A*a^2*c*d^2*m^3*n^2*x*x^m*x^(2*n)*e^m + 2766*B*a*b*c^3*m^2*n^3*x*x^m*x^(2*n)*e^m + 1383*A*b^2*c^3*m^2*n^3*x*x^m*x^(2*n)*e^m + 4149*B*a^2*c^2*d*m^2*n^3*x*x^m*x^(2*n)*e^m + 8298*A*a*b*c^2*d*m^2*n^3*x*x^m*x^(2*n)*e^m + 4149*A*a^2*c*d^2*m^2*n^3*x*x^m*x^(2*n)*e^m + 2808*B*a*b*c^3*m*n^4*x*x^m*x^(2*n)*e^m + 1404*A*b^2*c^3*m*n^4*x*x^m*x^(2*n)*e^m + 4212*B*a^2*c^2*d*m*n^4*x*x^m*x^(2*n)*e^m + 8424*A*a*b*c^2*d*m*n^4*x*x^m*x^(2*n)*e^m + 4212*A*a^2*c*d^2*m*n^4*x*x^m*x^(2*n)*e^m + 720*B*a*b*c^3*n^5*x*x^m*x^(2*n)*e^m + 360*A*b^2*c^3*n^5*x*x^m*x^(2*n)*e^m + 1080*B*a^2*c^2*d*n^5*x*x^m*x^(2*n)*e^m + 2160*A*a*b*c^2*d*n^5*x*x^m*x^(2*n)*e^m + 1080*A*a^2*c*d^2*n^5*x*x^m*x^(2*n)*e^m + 6*B*a^2*c^3*m^5*x*x^m*x^n*e^m + 12*A*a*b*c^3*m^5*x*x^m*x^n*e^m + 18*A*a^2*c^2*d*m^5*x*x^m*x^n*e^m + 100*B*a^2*c^3*m^4*n*x*x^m*x^n*e^m + 200*A*a*b*c^3*m^4*n*x*x^m*x^n*e^m + 300*A*a^2*c^2*d*m^4*n*x*x^m*x^n*e^m + 620*B*a^2*c^3*m^3*n^2*x*x^m*x^n*e^m + 1240*A*a*b*c^3*m^3*n^2*x*x^m*x^n*e^m + 1860*A*a^2*c^2*d*m^3*n^2*x*x^m*x^n*e^m + 1740*B*a^2*c^3*m^2*n^3*x*x^m*x^n*e^m + 3480*A*a*b*c^3*m^2*n^3*x*x^m*x^n*e^m + 5220*A*a^2*c^2*d*m^2*n^3*x*x^m*x^n*e^m + 2088*B*a^2*c^3*m*n^4*x*x^m*x^n*e^m + 4176*A*a*b*c^3*m*n^4*x*x^m*x^n*e^m + 6264*A*a^2*c^2*d*m*n^4*x*x^m*x^n*e^m + 720*B*a^2*c^3*n^5*x*x^m*x^n*e^m + 1440*A*a*b*c^3*n^5*x*x^m*x^n*e^m + 2160*A*a^2*c^2*d*n^5*x*x^m*x^n*e^m + 6*A*a^2*c^3*m^5*x*x^m*e^m + 105*A*a^2*c^3*m^4*n*x*x^m*e^m + 700*A*a^2*c^3*m^3*n^2*x*x^m*e^m + 2205*A*a^2*c^3*m^2*n^3*x*x^m*e^m + 3248*A*a^2*c^3*m*n^4*x*x^m*e^m + 1764*A*a^2*c^3*n^5*x*x^m*e^m + 15*B*b^2*d^3*m^4*x*x^m*x^(6*n)*e^m + 150*B*b^2*d^3*m^3*n*x*x^m*x^(6*n)*e^m + 510*B*b^2*d^3*m^2*n^2*x*x^m*x^(6*n)*e^m + 675*B*b^2*d^3*m*n^3*x*x^m*x^(6*n)*e^m + 274*B*b^2*d^3*n^4*x*x^m*x^(6*n)*e^m + 45*B*b^2*c*d^2*m^4*x*x^m*x^(5*n)*e^m + 30*B*a*b*d^3*m^4*x*x^m*x^(5*n)*e^m + 15*A*b^2*d^3*m^4*x*x^m*x^(5*n)*e^m + 480*B*b^2*c*d^2*m^3*n*x*x^m*x^(5*n)*e^m + 320*B*a*b*d^3*m^3*n*x*x^m*x^(5*n)*e^m + 160*A*b^2*d^3*m^3*n*x*x^m*x^(5*n)*e^m + 1710*B*b^2*c*d^2*m^2*n^2*x*x^m*x^(5*n)*e^m + 1140*B*a*b*d^3*m^2*n^2*x*x^m*x^(5*n)*e^m + 570*A*b^2*d^3*m^2*n^2*x*x^m*x^(5*n)*e^m + 2340*B*b^2*c*d^2*m*n^3*x*x^m*x^(5*n)*e^m + 1560*B*a*b*d^3*m*n^3*x*x^m*x^(5*n)*e^m + 780*A*b^2*d^3*m*n^3*x*x^m*x^(5*n)*e^m + 972*B*b^2*c*d^2*n^4*x*x^m*x^(5*n)*e^m + 648*B*a*b*d^3*n^4*x*x^m*x^(5*n)*e^m + 324*A*b^2*d^3*n^4*x*x^m*x^(5*n)*e^m + 45*B*b^2*c^2*d*m^4*x*x^m*x^(4*n)*e^m + 90*B*a*b*c*d^2*m^4*x*x^m*x^(4*n)*e^m + 45*A*b^2*c*d^2*m^4*x*x^m*x^(4*n)*e^m + 15*B*a^2*d^3*m^4*x*x^m*x^(4*n)*e^m + 30*A*a*b*d^3*m^4*x*x^m*x^(4*n)*e^m + 510*B*b^2*c^2*d*m^3*n*x*x^m*x^(4*n)*e^m + 1020*B*a*b*c*d^2*m^3*n*x*x^m*x^(4*n)*e^m + 510*A*b^2*c*d^2*m^3*n*x*x^m*x^(4*n)*e^m + 170*B*a^2*d^3*m^3*n*x*x^m*x^(4*n)*e^m + 340*A*a*b*d^3*m^3*n*x*x^m*x^(4*n)*e^m + 1926*B*b^2*c^2*d*m^2*n^2*x*x^m*x^(4*n)*e^m + 3852*B*a*b*c*d^2*m^2*n^2*x*x^m*x^(4*n)*e^m + 1926*A*b^2*c*d^2*m^2*n^2*x*x^m*x^(4*n)*e^m + 642*B*a^2*d^3*m^2*n^2*x*x^m*x^(4*n)*e^m + 1284*A*a*b*d^3*m^2*n^2*x*x^m*x^(4*n)*e^m + 2763*B*b^2*c^2*d*m*n^3*x*x^m*x^(4*n)*e^m + 5526*B*a*b*c*d^2*m*n^3*x*x^m*x^(4*n)*e^m + 2763*A*b^2*c*d^2*m*n^3*x*x^m*x^(4*n)*e^m + 921*B*a^2*d^3*m*n^3*x*x^m*x^(4*n)*e^m + 1842*A*a*b*d^3*m*n^3*x*x^m*x^(4*n)*e^m + 1188*B*b^2*c^2*d*n^4*x*x^m*x^(4*n)*e^m + 2376*B*a*b*c*d^2*n^4*x*x^m*x^(4*n)*e^m + 1188*A*b^2*c*d^2*n^4*x*x^m*x^(4*n)*e^m + 396*B*a^2*d^3*n^4*x*x^m*x^(4*n)*e^m + 792*A*a*b*d^3*n^4*x*x^m*x^(4*n)*e^m + 15*B*b^2*c^3*m^4*x*x^m*x^(3*n)*e^m + 90*B*a*b*c^2*d*m^4*x*x^m*x^(3*n)*e^m + 45*A*b^2*c^2*d*m^4*x*x^m*x^(3*n)*e^m + 45*B*a^2*c*d^2*m^4*x*x^m*x^(3*n)*e^m + 90*A*a*b*c*d^2*m^4*x*x^m*x^(3*n)*e^m + 15*A*a^2*d^3*m^4*x*x^m*x^(3*n)*e^m + 180*B*b^2*c^3*m^3*n*x*x^m*x^(3*n)*e^m + 1080*B*a*b*c^2*d*m^3*n*x*x^m*x^(3*n)*e^m + 540*A*b^2*c^2*d*m^3*n*x*x^m*x^(3*n)*e^m + 540*B*a^2*c*d^2*m^3*n*x*x^m*x^(3*n)*e^m + 1080*A*a*b*c*d^2*m^3*n*x*x^m*x^(3*n)*e^m + 180*A*a^2*d^3*m^3*n*x*x^m*x^(3*n)*e^m + 726*B*b^2*c^3*m^2*n^2*x*x^m*x^(3*n)*e^m + 4356*B*a*b*c^2*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 2178*A*b^2*c^2*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 2178*B*a^2*c*d^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 4356*A*a*b*c*d^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 726*A*a^2*d^3*m^2*n^2*x*x^m*x^(3*n)*e^m + 1116*B*b^2*c^3*m*n^3*x*x^m*x^(3*n)*e^m + 6696*B*a*b*c^2*d*m*n^3*x*x^m*x^(3*n)*e^m + 3348*A*b^2*c^2*d*m*n^3*x*x^m*x^(3*n)*e^m + 3348*B*a^2*c*d^2*m*n^3*x*x^m*x^(3*n)*e^m + 6696*A*a*b*c*d^2*m*n^3*x*x^m*x^(3*n)*e^m + 1116*A*a^2*d^3*m*n^3*x*x^m*x^(3*n)*e^m + 508*B*b^2*c^3*n^4*x*x^m*x^(3*n)*e^m + 3048*B*a*b*c^2*d*n^4*x*x^m*x^(3*n)*e^m + 1524*A*b^2*c^2*d*n^4*x*x^m*x^(3*n)*e^m + 1524*B*a^2*c*d^2*n^4*x*x^m*x^(3*n)*e^m + 3048*A*a*b*c*d^2*n^4*x*x^m*x^(3*n)*e^m + 508*A*a^2*d^3*n^4*x*x^m*x^(3*n)*e^m + 30*B*a*b*c^3*m^4*x*x^m*x^(2*n)*e^m + 15*A*b^2*c^3*m^4*x*x^m*x^(2*n)*e^m + 45*B*a^2*c^2*d*m^4*x*x^m*x^(2*n)*e^m + 90*A*a*b*c^2*d*m^4*x*x^m*x^(2*n)*e^m + 45*A*a^2*c*d^2*m^4*x*x^m*x^(2*n)*e^m + 380*B*a*b*c^3*m^3*n*x*x^m*x^(2*n)*e^m + 190*A*b^2*c^3*m^3*n*x*x^m*x^(2*n)*e^m + 570*B*a^2*c^2*d*m^3*n*x*x^m*x^(2*n)*e^m + 1140*A*a*b*c^2*d*m^3*n*x*x^m*x^(2*n)*e^m + 570*A*a^2*c*d^2*m^3*n*x*x^m*x^(2*n)*e^m + 1644*B*a*b*c^3*m^2*n^2*x*x^m*x^(2*n)*e^m + 822*A*b^2*c^3*m^2*n^2*x*x^m*x^(2*n)*e^m + 2466*B*a^2*c^2*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 4932*A*a*b*c^2*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 2466*A*a^2*c*d^2*m^2*n^2*x*x^m*x^(2*n)*e^m + 2766*B*a*b*c^3*m*n^3*x*x^m*x^(2*n)*e^m + 1383*A*b^2*c^3*m*n^3*x*x^m*x^(2*n)*e^m + 4149*B*a^2*c^2*d*m*n^3*x*x^m*x^(2*n)*e^m + 8298*A*a*b*c^2*d*m*n^3*x*x^m*x^(2*n)*e^m + 4149*A*a^2*c*d^2*m*n^3*x*x^m*x^(2*n)*e^m + 1404*B*a*b*c^3*n^4*x*x^m*x^(2*n)*e^m + 702*A*b^2*c^3*n^4*x*x^m*x^(2*n)*e^m + 2106*B*a^2*c^2*d*n^4*x*x^m*x^(2*n)*e^m + 4212*A*a*b*c^2*d*n^4*x*x^m*x^(2*n)*e^m + 2106*A*a^2*c*d^2*n^4*x*x^m*x^(2*n)*e^m + 15*B*a^2*c^3*m^4*x*x^m*x^n*e^m + 30*A*a*b*c^3*m^4*x*x^m*x^n*e^m + 45*A*a^2*c^2*d*m^4*x*x^m*x^n*e^m + 200*B*a^2*c^3*m^3*n*x*x^m*x^n*e^m + 400*A*a*b*c^3*m^3*n*x*x^m*x^n*e^m + 600*A*a^2*c^2*d*m^3*n*x*x^m*x^n*e^m + 930*B*a^2*c^3*m^2*n^2*x*x^m*x^n*e^m + 1860*A*a*b*c^3*m^2*n^2*x*x^m*x^n*e^m + 2790*A*a^2*c^2*d*m^2*n^2*x*x^m*x^n*e^m + 1740*B*a^2*c^3*m*n^3*x*x^m*x^n*e^m + 3480*A*a*b*c^3*m*n^3*x*x^m*x^n*e^m + 5220*A*a^2*c^2*d*m*n^3*x*x^m*x^n*e^m + 1044*B*a^2*c^3*n^4*x*x^m*x^n*e^m + 2088*A*a*b*c^3*n^4*x*x^m*x^n*e^m + 3132*A*a^2*c^2*d*n^4*x*x^m*x^n*e^m + 15*A*a^2*c^3*m^4*x*x^m*e^m + 210*A*a^2*c^3*m^3*n*x*x^m*e^m + 1050*A*a^2*c^3*m^2*n^2*x*x^m*e^m + 2205*A*a^2*c^3*m*n^3*x*x^m*e^m + 1624*A*a^2*c^3*n^4*x*x^m*e^m + 20*B*b^2*d^3*m^3*x*x^m*x^(6*n)*e^m + 150*B*b^2*d^3*m^2*n*x*x^m*x^(6*n)*e^m + 340*B*b^2*d^3*m*n^2*x*x^m*x^(6*n)*e^m + 225*B*b^2*d^3*n^3*x*x^m*x^(6*n)*e^m + 60*B*b^2*c*d^2*m^3*x*x^m*x^(5*n)*e^m + 40*B*a*b*d^3*m^3*x*x^m*x^(5*n)*e^m + 20*A*b^2*d^3*m^3*x*x^m*x^(5*n)*e^m + 480*B*b^2*c*d^2*m^2*n*x*x^m*x^(5*n)*e^m + 320*B*a*b*d^3*m^2*n*x*x^m*x^(5*n)*e^m + 160*A*b^2*d^3*m^2*n*x*x^m*x^(5*n)*e^m + 1140*B*b^2*c*d^2*m*n^2*x*x^m*x^(5*n)*e^m + 760*B*a*b*d^3*m*n^2*x*x^m*x^(5*n)*e^m + 380*A*b^2*d^3*m*n^2*x*x^m*x^(5*n)*e^m + 780*B*b^2*c*d^2*n^3*x*x^m*x^(5*n)*e^m + 520*B*a*b*d^3*n^3*x*x^m*x^(5*n)*e^m + 260*A*b^2*d^3*n^3*x*x^m*x^(5*n)*e^m + 60*B*b^2*c^2*d*m^3*x*x^m*x^(4*n)*e^m + 120*B*a*b*c*d^2*m^3*x*x^m*x^(4*n)*e^m + 60*A*b^2*c*d^2*m^3*x*x^m*x^(4*n)*e^m + 20*B*a^2*d^3*m^3*x*x^m*x^(4*n)*e^m + 40*A*a*b*d^3*m^3*x*x^m*x^(4*n)*e^m + 510*B*b^2*c^2*d*m^2*n*x*x^m*x^(4*n)*e^m + 1020*B*a*b*c*d^2*m^2*n*x*x^m*x^(4*n)*e^m + 510*A*b^2*c*d^2*m^2*n*x*x^m*x^(4*n)*e^m + 170*B*a^2*d^3*m^2*n*x*x^m*x^(4*n)*e^m + 340*A*a*b*d^3*m^2*n*x*x^m*x^(4*n)*e^m + 1284*B*b^2*c^2*d*m*n^2*x*x^m*x^(4*n)*e^m + 2568*B*a*b*c*d^2*m*n^2*x*x^m*x^(4*n)*e^m + 1284*A*b^2*c*d^2*m*n^2*x*x^m*x^(4*n)*e^m + 428*B*a^2*d^3*m*n^2*x*x^m*x^(4*n)*e^m + 856*A*a*b*d^3*m*n^2*x*x^m*x^(4*n)*e^m + 921*B*b^2*c^2*d*n^3*x*x^m*x^(4*n)*e^m + 1842*B*a*b*c*d^2*n^3*x*x^m*x^(4*n)*e^m + 921*A*b^2*c*d^2*n^3*x*x^m*x^(4*n)*e^m + 307*B*a^2*d^3*n^3*x*x^m*x^(4*n)*e^m + 614*A*a*b*d^3*n^3*x*x^m*x^(4*n)*e^m + 20*B*b^2*c^3*m^3*x*x^m*x^(3*n)*e^m + 120*B*a*b*c^2*d*m^3*x*x^m*x^(3*n)*e^m + 60*A*b^2*c^2*d*m^3*x*x^m*x^(3*n)*e^m + 60*B*a^2*c*d^2*m^3*x*x^m*x^(3*n)*e^m + 120*A*a*b*c*d^2*m^3*x*x^m*x^(3*n)*e^m + 20*A*a^2*d^3*m^3*x*x^m*x^(3*n)*e^m + 180*B*b^2*c^3*m^2*n*x*x^m*x^(3*n)*e^m + 1080*B*a*b*c^2*d*m^2*n*x*x^m*x^(3*n)*e^m + 540*A*b^2*c^2*d*m^2*n*x*x^m*x^(3*n)*e^m + 540*B*a^2*c*d^2*m^2*n*x*x^m*x^(3*n)*e^m + 1080*A*a*b*c*d^2*m^2*n*x*x^m*x^(3*n)*e^m + 180*A*a^2*d^3*m^2*n*x*x^m*x^(3*n)*e^m + 484*B*b^2*c^3*m*n^2*x*x^m*x^(3*n)*e^m + 2904*B*a*b*c^2*d*m*n^2*x*x^m*x^(3*n)*e^m + 1452*A*b^2*c^2*d*m*n^2*x*x^m*x^(3*n)*e^m + 1452*B*a^2*c*d^2*m*n^2*x*x^m*x^(3*n)*e^m + 2904*A*a*b*c*d^2*m*n^2*x*x^m*x^(3*n)*e^m + 484*A*a^2*d^3*m*n^2*x*x^m*x^(3*n)*e^m + 372*B*b^2*c^3*n^3*x*x^m*x^(3*n)*e^m + 2232*B*a*b*c^2*d*n^3*x*x^m*x^(3*n)*e^m + 1116*A*b^2*c^2*d*n^3*x*x^m*x^(3*n)*e^m + 1116*B*a^2*c*d^2*n^3*x*x^m*x^(3*n)*e^m + 2232*A*a*b*c*d^2*n^3*x*x^m*x^(3*n)*e^m + 372*A*a^2*d^3*n^3*x*x^m*x^(3*n)*e^m + 40*B*a*b*c^3*m^3*x*x^m*x^(2*n)*e^m + 20*A*b^2*c^3*m^3*x*x^m*x^(2*n)*e^m + 60*B*a^2*c^2*d*m^3*x*x^m*x^(2*n)*e^m + 120*A*a*b*c^2*d*m^3*x*x^m*x^(2*n)*e^m + 60*A*a^2*c*d^2*m^3*x*x^m*x^(2*n)*e^m + 380*B*a*b*c^3*m^2*n*x*x^m*x^(2*n)*e^m + 190*A*b^2*c^3*m^2*n*x*x^m*x^(2*n)*e^m + 570*B*a^2*c^2*d*m^2*n*x*x^m*x^(2*n)*e^m + 1140*A*a*b*c^2*d*m^2*n*x*x^m*x^(2*n)*e^m + 570*A*a^2*c*d^2*m^2*n*x*x^m*x^(2*n)*e^m + 1096*B*a*b*c^3*m*n^2*x*x^m*x^(2*n)*e^m + 548*A*b^2*c^3*m*n^2*x*x^m*x^(2*n)*e^m + 1644*B*a^2*c^2*d*m*n^2*x*x^m*x^(2*n)*e^m + 3288*A*a*b*c^2*d*m*n^2*x*x^m*x^(2*n)*e^m + 1644*A*a^2*c*d^2*m*n^2*x*x^m*x^(2*n)*e^m + 922*B*a*b*c^3*n^3*x*x^m*x^(2*n)*e^m + 461*A*b^2*c^3*n^3*x*x^m*x^(2*n)*e^m + 1383*B*a^2*c^2*d*n^3*x*x^m*x^(2*n)*e^m + 2766*A*a*b*c^2*d*n^3*x*x^m*x^(2*n)*e^m + 1383*A*a^2*c*d^2*n^3*x*x^m*x^(2*n)*e^m + 20*B*a^2*c^3*m^3*x*x^m*x^n*e^m + 40*A*a*b*c^3*m^3*x*x^m*x^n*e^m + 60*A*a^2*c^2*d*m^3*x*x^m*x^n*e^m + 200*B*a^2*c^3*m^2*n*x*x^m*x^n*e^m + 400*A*a*b*c^3*m^2*n*x*x^m*x^n*e^m + 600*A*a^2*c^2*d*m^2*n*x*x^m*x^n*e^m + 620*B*a^2*c^3*m*n^2*x*x^m*x^n*e^m + 1240*A*a*b*c^3*m*n^2*x*x^m*x^n*e^m + 1860*A*a^2*c^2*d*m*n^2*x*x^m*x^n*e^m + 580*B*a^2*c^3*n^3*x*x^m*x^n*e^m + 1160*A*a*b*c^3*n^3*x*x^m*x^n*e^m + 1740*A*a^2*c^2*d*n^3*x*x^m*x^n*e^m + 20*A*a^2*c^3*m^3*x*x^m*e^m + 210*A*a^2*c^3*m^2*n*x*x^m*e^m + 700*A*a^2*c^3*m*n^2*x*x^m*e^m + 735*A*a^2*c^3*n^3*x*x^m*e^m + 15*B*b^2*d^3*m^2*x*x^m*x^(6*n)*e^m + 75*B*b^2*d^3*m*n*x*x^m*x^(6*n)*e^m + 85*B*b^2*d^3*n^2*x*x^m*x^(6*n)*e^m + 45*B*b^2*c*d^2*m^2*x*x^m*x^(5*n)*e^m + 30*B*a*b*d^3*m^2*x*x^m*x^(5*n)*e^m + 15*A*b^2*d^3*m^2*x*x^m*x^(5*n)*e^m + 240*B*b^2*c*d^2*m*n*x*x^m*x^(5*n)*e^m + 160*B*a*b*d^3*m*n*x*x^m*x^(5*n)*e^m + 80*A*b^2*d^3*m*n*x*x^m*x^(5*n)*e^m + 285*B*b^2*c*d^2*n^2*x*x^m*x^(5*n)*e^m + 190*B*a*b*d^3*n^2*x*x^m*x^(5*n)*e^m + 95*A*b^2*d^3*n^2*x*x^m*x^(5*n)*e^m + 45*B*b^2*c^2*d*m^2*x*x^m*x^(4*n)*e^m + 90*B*a*b*c*d^2*m^2*x*x^m*x^(4*n)*e^m + 45*A*b^2*c*d^2*m^2*x*x^m*x^(4*n)*e^m + 15*B*a^2*d^3*m^2*x*x^m*x^(4*n)*e^m + 30*A*a*b*d^3*m^2*x*x^m*x^(4*n)*e^m + 255*B*b^2*c^2*d*m*n*x*x^m*x^(4*n)*e^m + 510*B*a*b*c*d^2*m*n*x*x^m*x^(4*n)*e^m + 255*A*b^2*c*d^2*m*n*x*x^m*x^(4*n)*e^m + 85*B*a^2*d^3*m*n*x*x^m*x^(4*n)*e^m + 170*A*a*b*d^3*m*n*x*x^m*x^(4*n)*e^m + 321*B*b^2*c^2*d*n^2*x*x^m*x^(4*n)*e^m + 642*B*a*b*c*d^2*n^2*x*x^m*x^(4*n)*e^m + 321*A*b^2*c*d^2*n^2*x*x^m*x^(4*n)*e^m + 107*B*a^2*d^3*n^2*x*x^m*x^(4*n)*e^m + 214*A*a*b*d^3*n^2*x*x^m*x^(4*n)*e^m + 15*B*b^2*c^3*m^2*x*x^m*x^(3*n)*e^m + 90*B*a*b*c^2*d*m^2*x*x^m*x^(3*n)*e^m + 45*A*b^2*c^2*d*m^2*x*x^m*x^(3*n)*e^m + 45*B*a^2*c*d^2*m^2*x*x^m*x^(3*n)*e^m + 90*A*a*b*c*d^2*m^2*x*x^m*x^(3*n)*e^m + 15*A*a^2*d^3*m^2*x*x^m*x^(3*n)*e^m + 90*B*b^2*c^3*m*n*x*x^m*x^(3*n)*e^m + 540*B*a*b*c^2*d*m*n*x*x^m*x^(3*n)*e^m + 270*A*b^2*c^2*d*m*n*x*x^m*x^(3*n)*e^m + 270*B*a^2*c*d^2*m*n*x*x^m*x^(3*n)*e^m + 540*A*a*b*c*d^2*m*n*x*x^m*x^(3*n)*e^m + 90*A*a^2*d^3*m*n*x*x^m*x^(3*n)*e^m + 121*B*b^2*c^3*n^2*x*x^m*x^(3*n)*e^m + 726*B*a*b*c^2*d*n^2*x*x^m*x^(3*n)*e^m + 363*A*b^2*c^2*d*n^2*x*x^m*x^(3*n)*e^m + 363*B*a^2*c*d^2*n^2*x*x^m*x^(3*n)*e^m + 726*A*a*b*c*d^2*n^2*x*x^m*x^(3*n)*e^m + 121*A*a^2*d^3*n^2*x*x^m*x^(3*n)*e^m + 30*B*a*b*c^3*m^2*x*x^m*x^(2*n)*e^m + 15*A*b^2*c^3*m^2*x*x^m*x^(2*n)*e^m + 45*B*a^2*c^2*d*m^2*x*x^m*x^(2*n)*e^m + 90*A*a*b*c^2*d*m^2*x*x^m*x^(2*n)*e^m + 45*A*a^2*c*d^2*m^2*x*x^m*x^(2*n)*e^m + 190*B*a*b*c^3*m*n*x*x^m*x^(2*n)*e^m + 95*A*b^2*c^3*m*n*x*x^m*x^(2*n)*e^m + 285*B*a^2*c^2*d*m*n*x*x^m*x^(2*n)*e^m + 570*A*a*b*c^2*d*m*n*x*x^m*x^(2*n)*e^m + 285*A*a^2*c*d^2*m*n*x*x^m*x^(2*n)*e^m + 274*B*a*b*c^3*n^2*x*x^m*x^(2*n)*e^m + 137*A*b^2*c^3*n^2*x*x^m*x^(2*n)*e^m + 411*B*a^2*c^2*d*n^2*x*x^m*x^(2*n)*e^m + 822*A*a*b*c^2*d*n^2*x*x^m*x^(2*n)*e^m + 411*A*a^2*c*d^2*n^2*x*x^m*x^(2*n)*e^m + 15*B*a^2*c^3*m^2*x*x^m*x^n*e^m + 30*A*a*b*c^3*m^2*x*x^m*x^n*e^m + 45*A*a^2*c^2*d*m^2*x*x^m*x^n*e^m + 100*B*a^2*c^3*m*n*x*x^m*x^n*e^m + 200*A*a*b*c^3*m*n*x*x^m*x^n*e^m + 300*A*a^2*c^2*d*m*n*x*x^m*x^n*e^m + 155*B*a^2*c^3*n^2*x*x^m*x^n*e^m + 310*A*a*b*c^3*n^2*x*x^m*x^n*e^m + 465*A*a^2*c^2*d*n^2*x*x^m*x^n*e^m + 15*A*a^2*c^3*m^2*x*x^m*e^m + 105*A*a^2*c^3*m*n*x*x^m*e^m + 175*A*a^2*c^3*n^2*x*x^m*e^m + 6*B*b^2*d^3*m*x*x^m*x^(6*n)*e^m + 15*B*b^2*d^3*n*x*x^m*x^(6*n)*e^m + 18*B*b^2*c*d^2*m*x*x^m*x^(5*n)*e^m + 12*B*a*b*d^3*m*x*x^m*x^(5*n)*e^m + 6*A*b^2*d^3*m*x*x^m*x^(5*n)*e^m + 48*B*b^2*c*d^2*n*x*x^m*x^(5*n)*e^m + 32*B*a*b*d^3*n*x*x^m*x^(5*n)*e^m + 16*A*b^2*d^3*n*x*x^m*x^(5*n)*e^m + 18*B*b^2*c^2*d*m*x*x^m*x^(4*n)*e^m + 36*B*a*b*c*d^2*m*x*x^m*x^(4*n)*e^m + 18*A*b^2*c*d^2*m*x*x^m*x^(4*n)*e^m + 6*B*a^2*d^3*m*x*x^m*x^(4*n)*e^m + 12*A*a*b*d^3*m*x*x^m*x^(4*n)*e^m + 51*B*b^2*c^2*d*n*x*x^m*x^(4*n)*e^m + 102*B*a*b*c*d^2*n*x*x^m*x^(4*n)*e^m + 51*A*b^2*c*d^2*n*x*x^m*x^(4*n)*e^m + 17*B*a^2*d^3*n*x*x^m*x^(4*n)*e^m + 34*A*a*b*d^3*n*x*x^m*x^(4*n)*e^m + 6*B*b^2*c^3*m*x*x^m*x^(3*n)*e^m + 36*B*a*b*c^2*d*m*x*x^m*x^(3*n)*e^m + 18*A*b^2*c^2*d*m*x*x^m*x^(3*n)*e^m + 18*B*a^2*c*d^2*m*x*x^m*x^(3*n)*e^m + 36*A*a*b*c*d^2*m*x*x^m*x^(3*n)*e^m + 6*A*a^2*d^3*m*x*x^m*x^(3*n)*e^m + 18*B*b^2*c^3*n*x*x^m*x^(3*n)*e^m + 108*B*a*b*c^2*d*n*x*x^m*x^(3*n)*e^m + 54*A*b^2*c^2*d*n*x*x^m*x^(3*n)*e^m + 54*B*a^2*c*d^2*n*x*x^m*x^(3*n)*e^m + 108*A*a*b*c*d^2*n*x*x^m*x^(3*n)*e^m + 18*A*a^2*d^3*n*x*x^m*x^(3*n)*e^m + 12*B*a*b*c^3*m*x*x^m*x^(2*n)*e^m + 6*A*b^2*c^3*m*x*x^m*x^(2*n)*e^m + 18*B*a^2*c^2*d*m*x*x^m*x^(2*n)*e^m + 36*A*a*b*c^2*d*m*x*x^m*x^(2*n)*e^m + 18*A*a^2*c*d^2*m*x*x^m*x^(2*n)*e^m + 38*B*a*b*c^3*n*x*x^m*x^(2*n)*e^m + 19*A*b^2*c^3*n*x*x^m*x^(2*n)*e^m + 57*B*a^2*c^2*d*n*x*x^m*x^(2*n)*e^m + 114*A*a*b*c^2*d*n*x*x^m*x^(2*n)*e^m + 57*A*a^2*c*d^2*n*x*x^m*x^(2*n)*e^m + 6*B*a^2*c^3*m*x*x^m*x^n*e^m + 12*A*a*b*c^3*m*x*x^m*x^n*e^m + 18*A*a^2*c^2*d*m*x*x^m*x^n*e^m + 20*B*a^2*c^3*n*x*x^m*x^n*e^m + 40*A*a*b*c^3*n*x*x^m*x^n*e^m + 60*A*a^2*c^2*d*n*x*x^m*x^n*e^m + 6*A*a^2*c^3*m*x*x^m*e^m + 21*A*a^2*c^3*n*x*x^m*e^m + B*b^2*d^3*x*x^m*x^(6*n)*e^m + 3*B*b^2*c*d^2*x*x^m*x^(5*n)*e^m + 2*B*a*b*d^3*x*x^m*x^(5*n)*e^m + A*b^2*d^3*x*x^m*x^(5*n)*e^m + 3*B*b^2*c^2*d*x*x^m*x^(4*n)*e^m + 6*B*a*b*c*d^2*x*x^m*x^(4*n)*e^m + 3*A*b^2*c*d^2*x*x^m*x^(4*n)*e^m + B*a^2*d^3*x*x^m*x^(4*n)*e^m + 2*A*a*b*d^3*x*x^m*x^(4*n)*e^m + B*b^2*c^3*x*x^m*x^(3*n)*e^m + 6*B*a*b*c^2*d*x*x^m*x^(3*n)*e^m + 3*A*b^2*c^2*d*x*x^m*x^(3*n)*e^m + 3*B*a^2*c*d^2*x*x^m*x^(3*n)*e^m + 6*A*a*b*c*d^2*x*x^m*x^(3*n)*e^m + A*a^2*d^3*x*x^m*x^(3*n)*e^m + 2*B*a*b*c^3*x*x^m*x^(2*n)*e^m + A*b^2*c^3*x*x^m*x^(2*n)*e^m + 3*B*a^2*c^2*d*x*x^m*x^(2*n)*e^m + 6*A*a*b*c^2*d*x*x^m*x^(2*n)*e^m + 3*A*a^2*c*d^2*x*x^m*x^(2*n)*e^m + B*a^2*c^3*x*x^m*x^n*e^m + 2*A*a*b*c^3*x*x^m*x^n*e^m + 3*A*a^2*c^2*d*x*x^m*x^n*e^m + A*a^2*c^3*x*x^m*e^m)/(m^7 + 21*m^6*n + 175*m^5*n^2 + 735*m^4*n^3 + 1624*m^3*n^4 + 1764*m^2*n^5 + 720*m*n^6 + 7*m^6 + 126*m^5*n + 875*m^4*n^2 + 2940*m^3*n^3 + 4872*m^2*n^4 + 3528*m*n^5 + 720*n^6 + 21*m^5 + 315*m^4*n + 1750*m^3*n^2 + 4410*m^2*n^3 + 4872*m*n^4 + 1764*n^5 + 35*m^4 + 420*m^3*n + 1750*m^2*n^2 + 2940*m*n^3 + 1624*n^4 + 35*m^3 + 315*m^2*n + 875*m*n^2 + 735*n^3 + 21*m^2 + 126*m*n + 175*n^2 + 7*m + 21*n + 1)","B",0
17,1,6927,0,1.057344," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)*(c+d*x^n)^3,x, algorithm=""giac"")","\frac{B b d^{3} m^{5} x x^{m} x^{5 \, n} e^{m} + 10 \, B b d^{3} m^{4} n x x^{m} x^{5 \, n} e^{m} + 35 \, B b d^{3} m^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 50 \, B b d^{3} m^{2} n^{3} x x^{m} x^{5 \, n} e^{m} + 24 \, B b d^{3} m n^{4} x x^{m} x^{5 \, n} e^{m} + 3 \, B b c d^{2} m^{5} x x^{m} x^{4 \, n} e^{m} + B a d^{3} m^{5} x x^{m} x^{4 \, n} e^{m} + A b d^{3} m^{5} x x^{m} x^{4 \, n} e^{m} + 33 \, B b c d^{2} m^{4} n x x^{m} x^{4 \, n} e^{m} + 11 \, B a d^{3} m^{4} n x x^{m} x^{4 \, n} e^{m} + 11 \, A b d^{3} m^{4} n x x^{m} x^{4 \, n} e^{m} + 123 \, B b c d^{2} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 41 \, B a d^{3} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 41 \, A b d^{3} m^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 183 \, B b c d^{2} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 61 \, B a d^{3} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 61 \, A b d^{3} m^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 90 \, B b c d^{2} m n^{4} x x^{m} x^{4 \, n} e^{m} + 30 \, B a d^{3} m n^{4} x x^{m} x^{4 \, n} e^{m} + 30 \, A b d^{3} m n^{4} x x^{m} x^{4 \, n} e^{m} + 3 \, B b c^{2} d m^{5} x x^{m} x^{3 \, n} e^{m} + 3 \, B a c d^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + 3 \, A b c d^{2} m^{5} x x^{m} x^{3 \, n} e^{m} + A a d^{3} m^{5} x x^{m} x^{3 \, n} e^{m} + 36 \, B b c^{2} d m^{4} n x x^{m} x^{3 \, n} e^{m} + 36 \, B a c d^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 36 \, A b c d^{2} m^{4} n x x^{m} x^{3 \, n} e^{m} + 12 \, A a d^{3} m^{4} n x x^{m} x^{3 \, n} e^{m} + 147 \, B b c^{2} d m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, B a c d^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, A b c d^{2} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 49 \, A a d^{3} m^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 234 \, B b c^{2} d m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 234 \, B a c d^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 234 \, A b c d^{2} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 78 \, A a d^{3} m^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 120 \, B b c^{2} d m n^{4} x x^{m} x^{3 \, n} e^{m} + 120 \, B a c d^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 120 \, A b c d^{2} m n^{4} x x^{m} x^{3 \, n} e^{m} + 40 \, A a d^{3} m n^{4} x x^{m} x^{3 \, n} e^{m} + B b c^{3} m^{5} x x^{m} x^{2 \, n} e^{m} + 3 \, B a c^{2} d m^{5} x x^{m} x^{2 \, n} e^{m} + 3 \, A b c^{2} d m^{5} x x^{m} x^{2 \, n} e^{m} + 3 \, A a c d^{2} m^{5} x x^{m} x^{2 \, n} e^{m} + 13 \, B b c^{3} m^{4} n x x^{m} x^{2 \, n} e^{m} + 39 \, B a c^{2} d m^{4} n x x^{m} x^{2 \, n} e^{m} + 39 \, A b c^{2} d m^{4} n x x^{m} x^{2 \, n} e^{m} + 39 \, A a c d^{2} m^{4} n x x^{m} x^{2 \, n} e^{m} + 59 \, B b c^{3} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, B a c^{2} d m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A b c^{2} d m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A a c d^{2} m^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 107 \, B b c^{3} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 321 \, B a c^{2} d m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 321 \, A b c^{2} d m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 321 \, A a c d^{2} m^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 60 \, B b c^{3} m n^{4} x x^{m} x^{2 \, n} e^{m} + 180 \, B a c^{2} d m n^{4} x x^{m} x^{2 \, n} e^{m} + 180 \, A b c^{2} d m n^{4} x x^{m} x^{2 \, n} e^{m} + 180 \, A a c d^{2} m n^{4} x x^{m} x^{2 \, n} e^{m} + B a c^{3} m^{5} x x^{m} x^{n} e^{m} + A b c^{3} m^{5} x x^{m} x^{n} e^{m} + 3 \, A a c^{2} d m^{5} x x^{m} x^{n} e^{m} + 14 \, B a c^{3} m^{4} n x x^{m} x^{n} e^{m} + 14 \, A b c^{3} m^{4} n x x^{m} x^{n} e^{m} + 42 \, A a c^{2} d m^{4} n x x^{m} x^{n} e^{m} + 71 \, B a c^{3} m^{3} n^{2} x x^{m} x^{n} e^{m} + 71 \, A b c^{3} m^{3} n^{2} x x^{m} x^{n} e^{m} + 213 \, A a c^{2} d m^{3} n^{2} x x^{m} x^{n} e^{m} + 154 \, B a c^{3} m^{2} n^{3} x x^{m} x^{n} e^{m} + 154 \, A b c^{3} m^{2} n^{3} x x^{m} x^{n} e^{m} + 462 \, A a c^{2} d m^{2} n^{3} x x^{m} x^{n} e^{m} + 120 \, B a c^{3} m n^{4} x x^{m} x^{n} e^{m} + 120 \, A b c^{3} m n^{4} x x^{m} x^{n} e^{m} + 360 \, A a c^{2} d m n^{4} x x^{m} x^{n} e^{m} + A a c^{3} m^{5} x x^{m} e^{m} + 15 \, A a c^{3} m^{4} n x x^{m} e^{m} + 85 \, A a c^{3} m^{3} n^{2} x x^{m} e^{m} + 225 \, A a c^{3} m^{2} n^{3} x x^{m} e^{m} + 274 \, A a c^{3} m n^{4} x x^{m} e^{m} + 120 \, A a c^{3} n^{5} x x^{m} e^{m} + 5 \, B b d^{3} m^{4} x x^{m} x^{5 \, n} e^{m} + 40 \, B b d^{3} m^{3} n x x^{m} x^{5 \, n} e^{m} + 105 \, B b d^{3} m^{2} n^{2} x x^{m} x^{5 \, n} e^{m} + 100 \, B b d^{3} m n^{3} x x^{m} x^{5 \, n} e^{m} + 24 \, B b d^{3} n^{4} x x^{m} x^{5 \, n} e^{m} + 15 \, B b c d^{2} m^{4} x x^{m} x^{4 \, n} e^{m} + 5 \, B a d^{3} m^{4} x x^{m} x^{4 \, n} e^{m} + 5 \, A b d^{3} m^{4} x x^{m} x^{4 \, n} e^{m} + 132 \, B b c d^{2} m^{3} n x x^{m} x^{4 \, n} e^{m} + 44 \, B a d^{3} m^{3} n x x^{m} x^{4 \, n} e^{m} + 44 \, A b d^{3} m^{3} n x x^{m} x^{4 \, n} e^{m} + 369 \, B b c d^{2} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 123 \, B a d^{3} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 123 \, A b d^{3} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 366 \, B b c d^{2} m n^{3} x x^{m} x^{4 \, n} e^{m} + 122 \, B a d^{3} m n^{3} x x^{m} x^{4 \, n} e^{m} + 122 \, A b d^{3} m n^{3} x x^{m} x^{4 \, n} e^{m} + 90 \, B b c d^{2} n^{4} x x^{m} x^{4 \, n} e^{m} + 30 \, B a d^{3} n^{4} x x^{m} x^{4 \, n} e^{m} + 30 \, A b d^{3} n^{4} x x^{m} x^{4 \, n} e^{m} + 15 \, B b c^{2} d m^{4} x x^{m} x^{3 \, n} e^{m} + 15 \, B a c d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 15 \, A b c d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + 5 \, A a d^{3} m^{4} x x^{m} x^{3 \, n} e^{m} + 144 \, B b c^{2} d m^{3} n x x^{m} x^{3 \, n} e^{m} + 144 \, B a c d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 144 \, A b c d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 48 \, A a d^{3} m^{3} n x x^{m} x^{3 \, n} e^{m} + 441 \, B b c^{2} d m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 441 \, B a c d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 441 \, A b c d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, A a d^{3} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 468 \, B b c^{2} d m n^{3} x x^{m} x^{3 \, n} e^{m} + 468 \, B a c d^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} + 468 \, A b c d^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} + 156 \, A a d^{3} m n^{3} x x^{m} x^{3 \, n} e^{m} + 120 \, B b c^{2} d n^{4} x x^{m} x^{3 \, n} e^{m} + 120 \, B a c d^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 120 \, A b c d^{2} n^{4} x x^{m} x^{3 \, n} e^{m} + 40 \, A a d^{3} n^{4} x x^{m} x^{3 \, n} e^{m} + 5 \, B b c^{3} m^{4} x x^{m} x^{2 \, n} e^{m} + 15 \, B a c^{2} d m^{4} x x^{m} x^{2 \, n} e^{m} + 15 \, A b c^{2} d m^{4} x x^{m} x^{2 \, n} e^{m} + 15 \, A a c d^{2} m^{4} x x^{m} x^{2 \, n} e^{m} + 52 \, B b c^{3} m^{3} n x x^{m} x^{2 \, n} e^{m} + 156 \, B a c^{2} d m^{3} n x x^{m} x^{2 \, n} e^{m} + 156 \, A b c^{2} d m^{3} n x x^{m} x^{2 \, n} e^{m} + 156 \, A a c d^{2} m^{3} n x x^{m} x^{2 \, n} e^{m} + 177 \, B b c^{3} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 531 \, B a c^{2} d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 531 \, A b c^{2} d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 531 \, A a c d^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 214 \, B b c^{3} m n^{3} x x^{m} x^{2 \, n} e^{m} + 642 \, B a c^{2} d m n^{3} x x^{m} x^{2 \, n} e^{m} + 642 \, A b c^{2} d m n^{3} x x^{m} x^{2 \, n} e^{m} + 642 \, A a c d^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + 60 \, B b c^{3} n^{4} x x^{m} x^{2 \, n} e^{m} + 180 \, B a c^{2} d n^{4} x x^{m} x^{2 \, n} e^{m} + 180 \, A b c^{2} d n^{4} x x^{m} x^{2 \, n} e^{m} + 180 \, A a c d^{2} n^{4} x x^{m} x^{2 \, n} e^{m} + 5 \, B a c^{3} m^{4} x x^{m} x^{n} e^{m} + 5 \, A b c^{3} m^{4} x x^{m} x^{n} e^{m} + 15 \, A a c^{2} d m^{4} x x^{m} x^{n} e^{m} + 56 \, B a c^{3} m^{3} n x x^{m} x^{n} e^{m} + 56 \, A b c^{3} m^{3} n x x^{m} x^{n} e^{m} + 168 \, A a c^{2} d m^{3} n x x^{m} x^{n} e^{m} + 213 \, B a c^{3} m^{2} n^{2} x x^{m} x^{n} e^{m} + 213 \, A b c^{3} m^{2} n^{2} x x^{m} x^{n} e^{m} + 639 \, A a c^{2} d m^{2} n^{2} x x^{m} x^{n} e^{m} + 308 \, B a c^{3} m n^{3} x x^{m} x^{n} e^{m} + 308 \, A b c^{3} m n^{3} x x^{m} x^{n} e^{m} + 924 \, A a c^{2} d m n^{3} x x^{m} x^{n} e^{m} + 120 \, B a c^{3} n^{4} x x^{m} x^{n} e^{m} + 120 \, A b c^{3} n^{4} x x^{m} x^{n} e^{m} + 360 \, A a c^{2} d n^{4} x x^{m} x^{n} e^{m} + 5 \, A a c^{3} m^{4} x x^{m} e^{m} + 60 \, A a c^{3} m^{3} n x x^{m} e^{m} + 255 \, A a c^{3} m^{2} n^{2} x x^{m} e^{m} + 450 \, A a c^{3} m n^{3} x x^{m} e^{m} + 274 \, A a c^{3} n^{4} x x^{m} e^{m} + 10 \, B b d^{3} m^{3} x x^{m} x^{5 \, n} e^{m} + 60 \, B b d^{3} m^{2} n x x^{m} x^{5 \, n} e^{m} + 105 \, B b d^{3} m n^{2} x x^{m} x^{5 \, n} e^{m} + 50 \, B b d^{3} n^{3} x x^{m} x^{5 \, n} e^{m} + 30 \, B b c d^{2} m^{3} x x^{m} x^{4 \, n} e^{m} + 10 \, B a d^{3} m^{3} x x^{m} x^{4 \, n} e^{m} + 10 \, A b d^{3} m^{3} x x^{m} x^{4 \, n} e^{m} + 198 \, B b c d^{2} m^{2} n x x^{m} x^{4 \, n} e^{m} + 66 \, B a d^{3} m^{2} n x x^{m} x^{4 \, n} e^{m} + 66 \, A b d^{3} m^{2} n x x^{m} x^{4 \, n} e^{m} + 369 \, B b c d^{2} m n^{2} x x^{m} x^{4 \, n} e^{m} + 123 \, B a d^{3} m n^{2} x x^{m} x^{4 \, n} e^{m} + 123 \, A b d^{3} m n^{2} x x^{m} x^{4 \, n} e^{m} + 183 \, B b c d^{2} n^{3} x x^{m} x^{4 \, n} e^{m} + 61 \, B a d^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 61 \, A b d^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 30 \, B b c^{2} d m^{3} x x^{m} x^{3 \, n} e^{m} + 30 \, B a c d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 30 \, A b c d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 10 \, A a d^{3} m^{3} x x^{m} x^{3 \, n} e^{m} + 216 \, B b c^{2} d m^{2} n x x^{m} x^{3 \, n} e^{m} + 216 \, B a c d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 216 \, A b c d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 72 \, A a d^{3} m^{2} n x x^{m} x^{3 \, n} e^{m} + 441 \, B b c^{2} d m n^{2} x x^{m} x^{3 \, n} e^{m} + 441 \, B a c d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 441 \, A b c d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, A a d^{3} m n^{2} x x^{m} x^{3 \, n} e^{m} + 234 \, B b c^{2} d n^{3} x x^{m} x^{3 \, n} e^{m} + 234 \, B a c d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 234 \, A b c d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 78 \, A a d^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 10 \, B b c^{3} m^{3} x x^{m} x^{2 \, n} e^{m} + 30 \, B a c^{2} d m^{3} x x^{m} x^{2 \, n} e^{m} + 30 \, A b c^{2} d m^{3} x x^{m} x^{2 \, n} e^{m} + 30 \, A a c d^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 78 \, B b c^{3} m^{2} n x x^{m} x^{2 \, n} e^{m} + 234 \, B a c^{2} d m^{2} n x x^{m} x^{2 \, n} e^{m} + 234 \, A b c^{2} d m^{2} n x x^{m} x^{2 \, n} e^{m} + 234 \, A a c d^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 177 \, B b c^{3} m n^{2} x x^{m} x^{2 \, n} e^{m} + 531 \, B a c^{2} d m n^{2} x x^{m} x^{2 \, n} e^{m} + 531 \, A b c^{2} d m n^{2} x x^{m} x^{2 \, n} e^{m} + 531 \, A a c d^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 107 \, B b c^{3} n^{3} x x^{m} x^{2 \, n} e^{m} + 321 \, B a c^{2} d n^{3} x x^{m} x^{2 \, n} e^{m} + 321 \, A b c^{2} d n^{3} x x^{m} x^{2 \, n} e^{m} + 321 \, A a c d^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 10 \, B a c^{3} m^{3} x x^{m} x^{n} e^{m} + 10 \, A b c^{3} m^{3} x x^{m} x^{n} e^{m} + 30 \, A a c^{2} d m^{3} x x^{m} x^{n} e^{m} + 84 \, B a c^{3} m^{2} n x x^{m} x^{n} e^{m} + 84 \, A b c^{3} m^{2} n x x^{m} x^{n} e^{m} + 252 \, A a c^{2} d m^{2} n x x^{m} x^{n} e^{m} + 213 \, B a c^{3} m n^{2} x x^{m} x^{n} e^{m} + 213 \, A b c^{3} m n^{2} x x^{m} x^{n} e^{m} + 639 \, A a c^{2} d m n^{2} x x^{m} x^{n} e^{m} + 154 \, B a c^{3} n^{3} x x^{m} x^{n} e^{m} + 154 \, A b c^{3} n^{3} x x^{m} x^{n} e^{m} + 462 \, A a c^{2} d n^{3} x x^{m} x^{n} e^{m} + 10 \, A a c^{3} m^{3} x x^{m} e^{m} + 90 \, A a c^{3} m^{2} n x x^{m} e^{m} + 255 \, A a c^{3} m n^{2} x x^{m} e^{m} + 225 \, A a c^{3} n^{3} x x^{m} e^{m} + 10 \, B b d^{3} m^{2} x x^{m} x^{5 \, n} e^{m} + 40 \, B b d^{3} m n x x^{m} x^{5 \, n} e^{m} + 35 \, B b d^{3} n^{2} x x^{m} x^{5 \, n} e^{m} + 30 \, B b c d^{2} m^{2} x x^{m} x^{4 \, n} e^{m} + 10 \, B a d^{3} m^{2} x x^{m} x^{4 \, n} e^{m} + 10 \, A b d^{3} m^{2} x x^{m} x^{4 \, n} e^{m} + 132 \, B b c d^{2} m n x x^{m} x^{4 \, n} e^{m} + 44 \, B a d^{3} m n x x^{m} x^{4 \, n} e^{m} + 44 \, A b d^{3} m n x x^{m} x^{4 \, n} e^{m} + 123 \, B b c d^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 41 \, B a d^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 41 \, A b d^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 30 \, B b c^{2} d m^{2} x x^{m} x^{3 \, n} e^{m} + 30 \, B a c d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 30 \, A b c d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 10 \, A a d^{3} m^{2} x x^{m} x^{3 \, n} e^{m} + 144 \, B b c^{2} d m n x x^{m} x^{3 \, n} e^{m} + 144 \, B a c d^{2} m n x x^{m} x^{3 \, n} e^{m} + 144 \, A b c d^{2} m n x x^{m} x^{3 \, n} e^{m} + 48 \, A a d^{3} m n x x^{m} x^{3 \, n} e^{m} + 147 \, B b c^{2} d n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, B a c d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 147 \, A b c d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 49 \, A a d^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 10 \, B b c^{3} m^{2} x x^{m} x^{2 \, n} e^{m} + 30 \, B a c^{2} d m^{2} x x^{m} x^{2 \, n} e^{m} + 30 \, A b c^{2} d m^{2} x x^{m} x^{2 \, n} e^{m} + 30 \, A a c d^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 52 \, B b c^{3} m n x x^{m} x^{2 \, n} e^{m} + 156 \, B a c^{2} d m n x x^{m} x^{2 \, n} e^{m} + 156 \, A b c^{2} d m n x x^{m} x^{2 \, n} e^{m} + 156 \, A a c d^{2} m n x x^{m} x^{2 \, n} e^{m} + 59 \, B b c^{3} n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, B a c^{2} d n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A b c^{2} d n^{2} x x^{m} x^{2 \, n} e^{m} + 177 \, A a c d^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 10 \, B a c^{3} m^{2} x x^{m} x^{n} e^{m} + 10 \, A b c^{3} m^{2} x x^{m} x^{n} e^{m} + 30 \, A a c^{2} d m^{2} x x^{m} x^{n} e^{m} + 56 \, B a c^{3} m n x x^{m} x^{n} e^{m} + 56 \, A b c^{3} m n x x^{m} x^{n} e^{m} + 168 \, A a c^{2} d m n x x^{m} x^{n} e^{m} + 71 \, B a c^{3} n^{2} x x^{m} x^{n} e^{m} + 71 \, A b c^{3} n^{2} x x^{m} x^{n} e^{m} + 213 \, A a c^{2} d n^{2} x x^{m} x^{n} e^{m} + 10 \, A a c^{3} m^{2} x x^{m} e^{m} + 60 \, A a c^{3} m n x x^{m} e^{m} + 85 \, A a c^{3} n^{2} x x^{m} e^{m} + 5 \, B b d^{3} m x x^{m} x^{5 \, n} e^{m} + 10 \, B b d^{3} n x x^{m} x^{5 \, n} e^{m} + 15 \, B b c d^{2} m x x^{m} x^{4 \, n} e^{m} + 5 \, B a d^{3} m x x^{m} x^{4 \, n} e^{m} + 5 \, A b d^{3} m x x^{m} x^{4 \, n} e^{m} + 33 \, B b c d^{2} n x x^{m} x^{4 \, n} e^{m} + 11 \, B a d^{3} n x x^{m} x^{4 \, n} e^{m} + 11 \, A b d^{3} n x x^{m} x^{4 \, n} e^{m} + 15 \, B b c^{2} d m x x^{m} x^{3 \, n} e^{m} + 15 \, B a c d^{2} m x x^{m} x^{3 \, n} e^{m} + 15 \, A b c d^{2} m x x^{m} x^{3 \, n} e^{m} + 5 \, A a d^{3} m x x^{m} x^{3 \, n} e^{m} + 36 \, B b c^{2} d n x x^{m} x^{3 \, n} e^{m} + 36 \, B a c d^{2} n x x^{m} x^{3 \, n} e^{m} + 36 \, A b c d^{2} n x x^{m} x^{3 \, n} e^{m} + 12 \, A a d^{3} n x x^{m} x^{3 \, n} e^{m} + 5 \, B b c^{3} m x x^{m} x^{2 \, n} e^{m} + 15 \, B a c^{2} d m x x^{m} x^{2 \, n} e^{m} + 15 \, A b c^{2} d m x x^{m} x^{2 \, n} e^{m} + 15 \, A a c d^{2} m x x^{m} x^{2 \, n} e^{m} + 13 \, B b c^{3} n x x^{m} x^{2 \, n} e^{m} + 39 \, B a c^{2} d n x x^{m} x^{2 \, n} e^{m} + 39 \, A b c^{2} d n x x^{m} x^{2 \, n} e^{m} + 39 \, A a c d^{2} n x x^{m} x^{2 \, n} e^{m} + 5 \, B a c^{3} m x x^{m} x^{n} e^{m} + 5 \, A b c^{3} m x x^{m} x^{n} e^{m} + 15 \, A a c^{2} d m x x^{m} x^{n} e^{m} + 14 \, B a c^{3} n x x^{m} x^{n} e^{m} + 14 \, A b c^{3} n x x^{m} x^{n} e^{m} + 42 \, A a c^{2} d n x x^{m} x^{n} e^{m} + 5 \, A a c^{3} m x x^{m} e^{m} + 15 \, A a c^{3} n x x^{m} e^{m} + B b d^{3} x x^{m} x^{5 \, n} e^{m} + 3 \, B b c d^{2} x x^{m} x^{4 \, n} e^{m} + B a d^{3} x x^{m} x^{4 \, n} e^{m} + A b d^{3} x x^{m} x^{4 \, n} e^{m} + 3 \, B b c^{2} d x x^{m} x^{3 \, n} e^{m} + 3 \, B a c d^{2} x x^{m} x^{3 \, n} e^{m} + 3 \, A b c d^{2} x x^{m} x^{3 \, n} e^{m} + A a d^{3} x x^{m} x^{3 \, n} e^{m} + B b c^{3} x x^{m} x^{2 \, n} e^{m} + 3 \, B a c^{2} d x x^{m} x^{2 \, n} e^{m} + 3 \, A b c^{2} d x x^{m} x^{2 \, n} e^{m} + 3 \, A a c d^{2} x x^{m} x^{2 \, n} e^{m} + B a c^{3} x x^{m} x^{n} e^{m} + A b c^{3} x x^{m} x^{n} e^{m} + 3 \, A a c^{2} d x x^{m} x^{n} e^{m} + A a c^{3} x x^{m} e^{m}}{m^{6} + 15 \, m^{5} n + 85 \, m^{4} n^{2} + 225 \, m^{3} n^{3} + 274 \, m^{2} n^{4} + 120 \, m n^{5} + 6 \, m^{5} + 75 \, m^{4} n + 340 \, m^{3} n^{2} + 675 \, m^{2} n^{3} + 548 \, m n^{4} + 120 \, n^{5} + 15 \, m^{4} + 150 \, m^{3} n + 510 \, m^{2} n^{2} + 675 \, m n^{3} + 274 \, n^{4} + 20 \, m^{3} + 150 \, m^{2} n + 340 \, m n^{2} + 225 \, n^{3} + 15 \, m^{2} + 75 \, m n + 85 \, n^{2} + 6 \, m + 15 \, n + 1}"," ",0,"(B*b*d^3*m^5*x*x^m*x^(5*n)*e^m + 10*B*b*d^3*m^4*n*x*x^m*x^(5*n)*e^m + 35*B*b*d^3*m^3*n^2*x*x^m*x^(5*n)*e^m + 50*B*b*d^3*m^2*n^3*x*x^m*x^(5*n)*e^m + 24*B*b*d^3*m*n^4*x*x^m*x^(5*n)*e^m + 3*B*b*c*d^2*m^5*x*x^m*x^(4*n)*e^m + B*a*d^3*m^5*x*x^m*x^(4*n)*e^m + A*b*d^3*m^5*x*x^m*x^(4*n)*e^m + 33*B*b*c*d^2*m^4*n*x*x^m*x^(4*n)*e^m + 11*B*a*d^3*m^4*n*x*x^m*x^(4*n)*e^m + 11*A*b*d^3*m^4*n*x*x^m*x^(4*n)*e^m + 123*B*b*c*d^2*m^3*n^2*x*x^m*x^(4*n)*e^m + 41*B*a*d^3*m^3*n^2*x*x^m*x^(4*n)*e^m + 41*A*b*d^3*m^3*n^2*x*x^m*x^(4*n)*e^m + 183*B*b*c*d^2*m^2*n^3*x*x^m*x^(4*n)*e^m + 61*B*a*d^3*m^2*n^3*x*x^m*x^(4*n)*e^m + 61*A*b*d^3*m^2*n^3*x*x^m*x^(4*n)*e^m + 90*B*b*c*d^2*m*n^4*x*x^m*x^(4*n)*e^m + 30*B*a*d^3*m*n^4*x*x^m*x^(4*n)*e^m + 30*A*b*d^3*m*n^4*x*x^m*x^(4*n)*e^m + 3*B*b*c^2*d*m^5*x*x^m*x^(3*n)*e^m + 3*B*a*c*d^2*m^5*x*x^m*x^(3*n)*e^m + 3*A*b*c*d^2*m^5*x*x^m*x^(3*n)*e^m + A*a*d^3*m^5*x*x^m*x^(3*n)*e^m + 36*B*b*c^2*d*m^4*n*x*x^m*x^(3*n)*e^m + 36*B*a*c*d^2*m^4*n*x*x^m*x^(3*n)*e^m + 36*A*b*c*d^2*m^4*n*x*x^m*x^(3*n)*e^m + 12*A*a*d^3*m^4*n*x*x^m*x^(3*n)*e^m + 147*B*b*c^2*d*m^3*n^2*x*x^m*x^(3*n)*e^m + 147*B*a*c*d^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 147*A*b*c*d^2*m^3*n^2*x*x^m*x^(3*n)*e^m + 49*A*a*d^3*m^3*n^2*x*x^m*x^(3*n)*e^m + 234*B*b*c^2*d*m^2*n^3*x*x^m*x^(3*n)*e^m + 234*B*a*c*d^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 234*A*b*c*d^2*m^2*n^3*x*x^m*x^(3*n)*e^m + 78*A*a*d^3*m^2*n^3*x*x^m*x^(3*n)*e^m + 120*B*b*c^2*d*m*n^4*x*x^m*x^(3*n)*e^m + 120*B*a*c*d^2*m*n^4*x*x^m*x^(3*n)*e^m + 120*A*b*c*d^2*m*n^4*x*x^m*x^(3*n)*e^m + 40*A*a*d^3*m*n^4*x*x^m*x^(3*n)*e^m + B*b*c^3*m^5*x*x^m*x^(2*n)*e^m + 3*B*a*c^2*d*m^5*x*x^m*x^(2*n)*e^m + 3*A*b*c^2*d*m^5*x*x^m*x^(2*n)*e^m + 3*A*a*c*d^2*m^5*x*x^m*x^(2*n)*e^m + 13*B*b*c^3*m^4*n*x*x^m*x^(2*n)*e^m + 39*B*a*c^2*d*m^4*n*x*x^m*x^(2*n)*e^m + 39*A*b*c^2*d*m^4*n*x*x^m*x^(2*n)*e^m + 39*A*a*c*d^2*m^4*n*x*x^m*x^(2*n)*e^m + 59*B*b*c^3*m^3*n^2*x*x^m*x^(2*n)*e^m + 177*B*a*c^2*d*m^3*n^2*x*x^m*x^(2*n)*e^m + 177*A*b*c^2*d*m^3*n^2*x*x^m*x^(2*n)*e^m + 177*A*a*c*d^2*m^3*n^2*x*x^m*x^(2*n)*e^m + 107*B*b*c^3*m^2*n^3*x*x^m*x^(2*n)*e^m + 321*B*a*c^2*d*m^2*n^3*x*x^m*x^(2*n)*e^m + 321*A*b*c^2*d*m^2*n^3*x*x^m*x^(2*n)*e^m + 321*A*a*c*d^2*m^2*n^3*x*x^m*x^(2*n)*e^m + 60*B*b*c^3*m*n^4*x*x^m*x^(2*n)*e^m + 180*B*a*c^2*d*m*n^4*x*x^m*x^(2*n)*e^m + 180*A*b*c^2*d*m*n^4*x*x^m*x^(2*n)*e^m + 180*A*a*c*d^2*m*n^4*x*x^m*x^(2*n)*e^m + B*a*c^3*m^5*x*x^m*x^n*e^m + A*b*c^3*m^5*x*x^m*x^n*e^m + 3*A*a*c^2*d*m^5*x*x^m*x^n*e^m + 14*B*a*c^3*m^4*n*x*x^m*x^n*e^m + 14*A*b*c^3*m^4*n*x*x^m*x^n*e^m + 42*A*a*c^2*d*m^4*n*x*x^m*x^n*e^m + 71*B*a*c^3*m^3*n^2*x*x^m*x^n*e^m + 71*A*b*c^3*m^3*n^2*x*x^m*x^n*e^m + 213*A*a*c^2*d*m^3*n^2*x*x^m*x^n*e^m + 154*B*a*c^3*m^2*n^3*x*x^m*x^n*e^m + 154*A*b*c^3*m^2*n^3*x*x^m*x^n*e^m + 462*A*a*c^2*d*m^2*n^3*x*x^m*x^n*e^m + 120*B*a*c^3*m*n^4*x*x^m*x^n*e^m + 120*A*b*c^3*m*n^4*x*x^m*x^n*e^m + 360*A*a*c^2*d*m*n^4*x*x^m*x^n*e^m + A*a*c^3*m^5*x*x^m*e^m + 15*A*a*c^3*m^4*n*x*x^m*e^m + 85*A*a*c^3*m^3*n^2*x*x^m*e^m + 225*A*a*c^3*m^2*n^3*x*x^m*e^m + 274*A*a*c^3*m*n^4*x*x^m*e^m + 120*A*a*c^3*n^5*x*x^m*e^m + 5*B*b*d^3*m^4*x*x^m*x^(5*n)*e^m + 40*B*b*d^3*m^3*n*x*x^m*x^(5*n)*e^m + 105*B*b*d^3*m^2*n^2*x*x^m*x^(5*n)*e^m + 100*B*b*d^3*m*n^3*x*x^m*x^(5*n)*e^m + 24*B*b*d^3*n^4*x*x^m*x^(5*n)*e^m + 15*B*b*c*d^2*m^4*x*x^m*x^(4*n)*e^m + 5*B*a*d^3*m^4*x*x^m*x^(4*n)*e^m + 5*A*b*d^3*m^4*x*x^m*x^(4*n)*e^m + 132*B*b*c*d^2*m^3*n*x*x^m*x^(4*n)*e^m + 44*B*a*d^3*m^3*n*x*x^m*x^(4*n)*e^m + 44*A*b*d^3*m^3*n*x*x^m*x^(4*n)*e^m + 369*B*b*c*d^2*m^2*n^2*x*x^m*x^(4*n)*e^m + 123*B*a*d^3*m^2*n^2*x*x^m*x^(4*n)*e^m + 123*A*b*d^3*m^2*n^2*x*x^m*x^(4*n)*e^m + 366*B*b*c*d^2*m*n^3*x*x^m*x^(4*n)*e^m + 122*B*a*d^3*m*n^3*x*x^m*x^(4*n)*e^m + 122*A*b*d^3*m*n^3*x*x^m*x^(4*n)*e^m + 90*B*b*c*d^2*n^4*x*x^m*x^(4*n)*e^m + 30*B*a*d^3*n^4*x*x^m*x^(4*n)*e^m + 30*A*b*d^3*n^4*x*x^m*x^(4*n)*e^m + 15*B*b*c^2*d*m^4*x*x^m*x^(3*n)*e^m + 15*B*a*c*d^2*m^4*x*x^m*x^(3*n)*e^m + 15*A*b*c*d^2*m^4*x*x^m*x^(3*n)*e^m + 5*A*a*d^3*m^4*x*x^m*x^(3*n)*e^m + 144*B*b*c^2*d*m^3*n*x*x^m*x^(3*n)*e^m + 144*B*a*c*d^2*m^3*n*x*x^m*x^(3*n)*e^m + 144*A*b*c*d^2*m^3*n*x*x^m*x^(3*n)*e^m + 48*A*a*d^3*m^3*n*x*x^m*x^(3*n)*e^m + 441*B*b*c^2*d*m^2*n^2*x*x^m*x^(3*n)*e^m + 441*B*a*c*d^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 441*A*b*c*d^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 147*A*a*d^3*m^2*n^2*x*x^m*x^(3*n)*e^m + 468*B*b*c^2*d*m*n^3*x*x^m*x^(3*n)*e^m + 468*B*a*c*d^2*m*n^3*x*x^m*x^(3*n)*e^m + 468*A*b*c*d^2*m*n^3*x*x^m*x^(3*n)*e^m + 156*A*a*d^3*m*n^3*x*x^m*x^(3*n)*e^m + 120*B*b*c^2*d*n^4*x*x^m*x^(3*n)*e^m + 120*B*a*c*d^2*n^4*x*x^m*x^(3*n)*e^m + 120*A*b*c*d^2*n^4*x*x^m*x^(3*n)*e^m + 40*A*a*d^3*n^4*x*x^m*x^(3*n)*e^m + 5*B*b*c^3*m^4*x*x^m*x^(2*n)*e^m + 15*B*a*c^2*d*m^4*x*x^m*x^(2*n)*e^m + 15*A*b*c^2*d*m^4*x*x^m*x^(2*n)*e^m + 15*A*a*c*d^2*m^4*x*x^m*x^(2*n)*e^m + 52*B*b*c^3*m^3*n*x*x^m*x^(2*n)*e^m + 156*B*a*c^2*d*m^3*n*x*x^m*x^(2*n)*e^m + 156*A*b*c^2*d*m^3*n*x*x^m*x^(2*n)*e^m + 156*A*a*c*d^2*m^3*n*x*x^m*x^(2*n)*e^m + 177*B*b*c^3*m^2*n^2*x*x^m*x^(2*n)*e^m + 531*B*a*c^2*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 531*A*b*c^2*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 531*A*a*c*d^2*m^2*n^2*x*x^m*x^(2*n)*e^m + 214*B*b*c^3*m*n^3*x*x^m*x^(2*n)*e^m + 642*B*a*c^2*d*m*n^3*x*x^m*x^(2*n)*e^m + 642*A*b*c^2*d*m*n^3*x*x^m*x^(2*n)*e^m + 642*A*a*c*d^2*m*n^3*x*x^m*x^(2*n)*e^m + 60*B*b*c^3*n^4*x*x^m*x^(2*n)*e^m + 180*B*a*c^2*d*n^4*x*x^m*x^(2*n)*e^m + 180*A*b*c^2*d*n^4*x*x^m*x^(2*n)*e^m + 180*A*a*c*d^2*n^4*x*x^m*x^(2*n)*e^m + 5*B*a*c^3*m^4*x*x^m*x^n*e^m + 5*A*b*c^3*m^4*x*x^m*x^n*e^m + 15*A*a*c^2*d*m^4*x*x^m*x^n*e^m + 56*B*a*c^3*m^3*n*x*x^m*x^n*e^m + 56*A*b*c^3*m^3*n*x*x^m*x^n*e^m + 168*A*a*c^2*d*m^3*n*x*x^m*x^n*e^m + 213*B*a*c^3*m^2*n^2*x*x^m*x^n*e^m + 213*A*b*c^3*m^2*n^2*x*x^m*x^n*e^m + 639*A*a*c^2*d*m^2*n^2*x*x^m*x^n*e^m + 308*B*a*c^3*m*n^3*x*x^m*x^n*e^m + 308*A*b*c^3*m*n^3*x*x^m*x^n*e^m 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10*A*a*d^3*m^3*x*x^m*x^(3*n)*e^m + 216*B*b*c^2*d*m^2*n*x*x^m*x^(3*n)*e^m + 216*B*a*c*d^2*m^2*n*x*x^m*x^(3*n)*e^m + 216*A*b*c*d^2*m^2*n*x*x^m*x^(3*n)*e^m + 72*A*a*d^3*m^2*n*x*x^m*x^(3*n)*e^m + 441*B*b*c^2*d*m*n^2*x*x^m*x^(3*n)*e^m + 441*B*a*c*d^2*m*n^2*x*x^m*x^(3*n)*e^m + 441*A*b*c*d^2*m*n^2*x*x^m*x^(3*n)*e^m + 147*A*a*d^3*m*n^2*x*x^m*x^(3*n)*e^m + 234*B*b*c^2*d*n^3*x*x^m*x^(3*n)*e^m + 234*B*a*c*d^2*n^3*x*x^m*x^(3*n)*e^m + 234*A*b*c*d^2*n^3*x*x^m*x^(3*n)*e^m + 78*A*a*d^3*n^3*x*x^m*x^(3*n)*e^m + 10*B*b*c^3*m^3*x*x^m*x^(2*n)*e^m + 30*B*a*c^2*d*m^3*x*x^m*x^(2*n)*e^m + 30*A*b*c^2*d*m^3*x*x^m*x^(2*n)*e^m + 30*A*a*c*d^2*m^3*x*x^m*x^(2*n)*e^m + 78*B*b*c^3*m^2*n*x*x^m*x^(2*n)*e^m + 234*B*a*c^2*d*m^2*n*x*x^m*x^(2*n)*e^m + 234*A*b*c^2*d*m^2*n*x*x^m*x^(2*n)*e^m + 234*A*a*c*d^2*m^2*n*x*x^m*x^(2*n)*e^m + 177*B*b*c^3*m*n^2*x*x^m*x^(2*n)*e^m + 531*B*a*c^2*d*m*n^2*x*x^m*x^(2*n)*e^m + 531*A*b*c^2*d*m*n^2*x*x^m*x^(2*n)*e^m + 531*A*a*c*d^2*m*n^2*x*x^m*x^(2*n)*e^m + 107*B*b*c^3*n^3*x*x^m*x^(2*n)*e^m + 321*B*a*c^2*d*n^3*x*x^m*x^(2*n)*e^m + 321*A*b*c^2*d*n^3*x*x^m*x^(2*n)*e^m + 321*A*a*c*d^2*n^3*x*x^m*x^(2*n)*e^m + 10*B*a*c^3*m^3*x*x^m*x^n*e^m + 10*A*b*c^3*m^3*x*x^m*x^n*e^m + 30*A*a*c^2*d*m^3*x*x^m*x^n*e^m + 84*B*a*c^3*m^2*n*x*x^m*x^n*e^m + 84*A*b*c^3*m^2*n*x*x^m*x^n*e^m + 252*A*a*c^2*d*m^2*n*x*x^m*x^n*e^m + 213*B*a*c^3*m*n^2*x*x^m*x^n*e^m + 213*A*b*c^3*m*n^2*x*x^m*x^n*e^m + 639*A*a*c^2*d*m*n^2*x*x^m*x^n*e^m + 154*B*a*c^3*n^3*x*x^m*x^n*e^m + 154*A*b*c^3*n^3*x*x^m*x^n*e^m + 462*A*a*c^2*d*n^3*x*x^m*x^n*e^m + 10*A*a*c^3*m^3*x*x^m*e^m + 90*A*a*c^3*m^2*n*x*x^m*e^m + 255*A*a*c^3*m*n^2*x*x^m*e^m + 225*A*a*c^3*n^3*x*x^m*e^m + 10*B*b*d^3*m^2*x*x^m*x^(5*n)*e^m + 40*B*b*d^3*m*n*x*x^m*x^(5*n)*e^m + 35*B*b*d^3*n^2*x*x^m*x^(5*n)*e^m + 30*B*b*c*d^2*m^2*x*x^m*x^(4*n)*e^m + 10*B*a*d^3*m^2*x*x^m*x^(4*n)*e^m + 10*A*b*d^3*m^2*x*x^m*x^(4*n)*e^m + 132*B*b*c*d^2*m*n*x*x^m*x^(4*n)*e^m + 44*B*a*d^3*m*n*x*x^m*x^(4*n)*e^m + 44*A*b*d^3*m*n*x*x^m*x^(4*n)*e^m + 123*B*b*c*d^2*n^2*x*x^m*x^(4*n)*e^m + 41*B*a*d^3*n^2*x*x^m*x^(4*n)*e^m + 41*A*b*d^3*n^2*x*x^m*x^(4*n)*e^m + 30*B*b*c^2*d*m^2*x*x^m*x^(3*n)*e^m + 30*B*a*c*d^2*m^2*x*x^m*x^(3*n)*e^m + 30*A*b*c*d^2*m^2*x*x^m*x^(3*n)*e^m + 10*A*a*d^3*m^2*x*x^m*x^(3*n)*e^m + 144*B*b*c^2*d*m*n*x*x^m*x^(3*n)*e^m + 144*B*a*c*d^2*m*n*x*x^m*x^(3*n)*e^m + 144*A*b*c*d^2*m*n*x*x^m*x^(3*n)*e^m + 48*A*a*d^3*m*n*x*x^m*x^(3*n)*e^m + 147*B*b*c^2*d*n^2*x*x^m*x^(3*n)*e^m + 147*B*a*c*d^2*n^2*x*x^m*x^(3*n)*e^m + 147*A*b*c*d^2*n^2*x*x^m*x^(3*n)*e^m + 49*A*a*d^3*n^2*x*x^m*x^(3*n)*e^m + 10*B*b*c^3*m^2*x*x^m*x^(2*n)*e^m + 30*B*a*c^2*d*m^2*x*x^m*x^(2*n)*e^m + 30*A*b*c^2*d*m^2*x*x^m*x^(2*n)*e^m + 30*A*a*c*d^2*m^2*x*x^m*x^(2*n)*e^m + 52*B*b*c^3*m*n*x*x^m*x^(2*n)*e^m + 156*B*a*c^2*d*m*n*x*x^m*x^(2*n)*e^m + 156*A*b*c^2*d*m*n*x*x^m*x^(2*n)*e^m + 156*A*a*c*d^2*m*n*x*x^m*x^(2*n)*e^m + 59*B*b*c^3*n^2*x*x^m*x^(2*n)*e^m + 177*B*a*c^2*d*n^2*x*x^m*x^(2*n)*e^m + 177*A*b*c^2*d*n^2*x*x^m*x^(2*n)*e^m + 177*A*a*c*d^2*n^2*x*x^m*x^(2*n)*e^m + 10*B*a*c^3*m^2*x*x^m*x^n*e^m + 10*A*b*c^3*m^2*x*x^m*x^n*e^m + 30*A*a*c^2*d*m^2*x*x^m*x^n*e^m + 56*B*a*c^3*m*n*x*x^m*x^n*e^m + 56*A*b*c^3*m*n*x*x^m*x^n*e^m + 168*A*a*c^2*d*m*n*x*x^m*x^n*e^m + 71*B*a*c^3*n^2*x*x^m*x^n*e^m + 71*A*b*c^3*n^2*x*x^m*x^n*e^m + 213*A*a*c^2*d*n^2*x*x^m*x^n*e^m + 10*A*a*c^3*m^2*x*x^m*e^m + 60*A*a*c^3*m*n*x*x^m*e^m + 85*A*a*c^3*n^2*x*x^m*e^m + 5*B*b*d^3*m*x*x^m*x^(5*n)*e^m + 10*B*b*d^3*n*x*x^m*x^(5*n)*e^m + 15*B*b*c*d^2*m*x*x^m*x^(4*n)*e^m + 5*B*a*d^3*m*x*x^m*x^(4*n)*e^m + 5*A*b*d^3*m*x*x^m*x^(4*n)*e^m + 33*B*b*c*d^2*n*x*x^m*x^(4*n)*e^m + 11*B*a*d^3*n*x*x^m*x^(4*n)*e^m + 11*A*b*d^3*n*x*x^m*x^(4*n)*e^m + 15*B*b*c^2*d*m*x*x^m*x^(3*n)*e^m + 15*B*a*c*d^2*m*x*x^m*x^(3*n)*e^m + 15*A*b*c*d^2*m*x*x^m*x^(3*n)*e^m + 5*A*a*d^3*m*x*x^m*x^(3*n)*e^m + 36*B*b*c^2*d*n*x*x^m*x^(3*n)*e^m + 36*B*a*c*d^2*n*x*x^m*x^(3*n)*e^m + 36*A*b*c*d^2*n*x*x^m*x^(3*n)*e^m + 12*A*a*d^3*n*x*x^m*x^(3*n)*e^m + 5*B*b*c^3*m*x*x^m*x^(2*n)*e^m + 15*B*a*c^2*d*m*x*x^m*x^(2*n)*e^m + 15*A*b*c^2*d*m*x*x^m*x^(2*n)*e^m + 15*A*a*c*d^2*m*x*x^m*x^(2*n)*e^m + 13*B*b*c^3*n*x*x^m*x^(2*n)*e^m + 39*B*a*c^2*d*n*x*x^m*x^(2*n)*e^m + 39*A*b*c^2*d*n*x*x^m*x^(2*n)*e^m + 39*A*a*c*d^2*n*x*x^m*x^(2*n)*e^m + 5*B*a*c^3*m*x*x^m*x^n*e^m + 5*A*b*c^3*m*x*x^m*x^n*e^m + 15*A*a*c^2*d*m*x*x^m*x^n*e^m + 14*B*a*c^3*n*x*x^m*x^n*e^m + 14*A*b*c^3*n*x*x^m*x^n*e^m + 42*A*a*c^2*d*n*x*x^m*x^n*e^m + 5*A*a*c^3*m*x*x^m*e^m + 15*A*a*c^3*n*x*x^m*e^m + B*b*d^3*x*x^m*x^(5*n)*e^m + 3*B*b*c*d^2*x*x^m*x^(4*n)*e^m + B*a*d^3*x*x^m*x^(4*n)*e^m + A*b*d^3*x*x^m*x^(4*n)*e^m + 3*B*b*c^2*d*x*x^m*x^(3*n)*e^m + 3*B*a*c*d^2*x*x^m*x^(3*n)*e^m + 3*A*b*c*d^2*x*x^m*x^(3*n)*e^m + A*a*d^3*x*x^m*x^(3*n)*e^m + B*b*c^3*x*x^m*x^(2*n)*e^m + 3*B*a*c^2*d*x*x^m*x^(2*n)*e^m + 3*A*b*c^2*d*x*x^m*x^(2*n)*e^m + 3*A*a*c*d^2*x*x^m*x^(2*n)*e^m + B*a*c^3*x*x^m*x^n*e^m + A*b*c^3*x*x^m*x^n*e^m + 3*A*a*c^2*d*x*x^m*x^n*e^m + A*a*c^3*x*x^m*e^m)/(m^6 + 15*m^5*n + 85*m^4*n^2 + 225*m^3*n^3 + 274*m^2*n^4 + 120*m*n^5 + 6*m^5 + 75*m^4*n + 340*m^3*n^2 + 675*m^2*n^3 + 548*m*n^4 + 120*n^5 + 15*m^4 + 150*m^3*n + 510*m^2*n^2 + 675*m*n^3 + 274*n^4 + 20*m^3 + 150*m^2*n + 340*m*n^2 + 225*n^3 + 15*m^2 + 75*m*n + 85*n^2 + 6*m + 15*n + 1)","B",0
18,1,2278,0,0.749568," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^3,x, algorithm=""giac"")","\frac{B d^{3} m^{4} x x^{m} x^{4 \, n} e^{m} + 6 \, B d^{3} m^{3} n x x^{m} x^{4 \, n} e^{m} + 11 \, B d^{3} m^{2} n^{2} x x^{m} x^{4 \, n} e^{m} + 6 \, B d^{3} m n^{3} x x^{m} x^{4 \, n} e^{m} + 3 \, B c d^{2} m^{4} x x^{m} x^{3 \, n} e^{m} + A d^{3} m^{4} x x^{m} x^{3 \, n} e^{m} + 21 \, B c d^{2} m^{3} n x x^{m} x^{3 \, n} e^{m} + 7 \, A d^{3} m^{3} n x x^{m} x^{3 \, n} e^{m} + 42 \, B c d^{2} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 14 \, A d^{3} m^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 24 \, B c d^{2} m n^{3} x x^{m} x^{3 \, n} e^{m} + 8 \, A d^{3} m n^{3} x x^{m} x^{3 \, n} e^{m} + 3 \, B c^{2} d m^{4} x x^{m} x^{2 \, n} e^{m} + 3 \, A c d^{2} m^{4} x x^{m} x^{2 \, n} e^{m} + 24 \, B c^{2} d m^{3} n x x^{m} x^{2 \, n} e^{m} + 24 \, A c d^{2} m^{3} n x x^{m} x^{2 \, n} e^{m} + 57 \, B c^{2} d m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 57 \, A c d^{2} m^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 36 \, B c^{2} d m n^{3} x x^{m} x^{2 \, n} e^{m} + 36 \, A c d^{2} m n^{3} x x^{m} x^{2 \, n} e^{m} + B c^{3} m^{4} x x^{m} x^{n} e^{m} + 3 \, A c^{2} d m^{4} x x^{m} x^{n} e^{m} + 9 \, B c^{3} m^{3} n x x^{m} x^{n} e^{m} + 27 \, A c^{2} d m^{3} n x x^{m} x^{n} e^{m} + 26 \, B c^{3} m^{2} n^{2} x x^{m} x^{n} e^{m} + 78 \, A c^{2} d m^{2} n^{2} x x^{m} x^{n} e^{m} + 24 \, B c^{3} m n^{3} x x^{m} x^{n} e^{m} + 72 \, A c^{2} d m n^{3} x x^{m} x^{n} e^{m} + A c^{3} m^{4} x x^{m} e^{m} + 10 \, A c^{3} m^{3} n x x^{m} e^{m} + 35 \, A c^{3} m^{2} n^{2} x x^{m} e^{m} + 50 \, A c^{3} m n^{3} x x^{m} e^{m} + 24 \, A c^{3} n^{4} x x^{m} e^{m} + 4 \, B d^{3} m^{3} x x^{m} x^{4 \, n} e^{m} + 18 \, B d^{3} m^{2} n x x^{m} x^{4 \, n} e^{m} + 22 \, B d^{3} m n^{2} x x^{m} x^{4 \, n} e^{m} + 6 \, B d^{3} n^{3} x x^{m} x^{4 \, n} e^{m} + 12 \, B c d^{2} m^{3} x x^{m} x^{3 \, n} e^{m} + 4 \, A d^{3} m^{3} x x^{m} x^{3 \, n} e^{m} + 63 \, B c d^{2} m^{2} n x x^{m} x^{3 \, n} e^{m} + 21 \, A d^{3} m^{2} n x x^{m} x^{3 \, n} e^{m} + 84 \, B c d^{2} m n^{2} x x^{m} x^{3 \, n} e^{m} + 28 \, A d^{3} m n^{2} x x^{m} x^{3 \, n} e^{m} + 24 \, B c d^{2} n^{3} x x^{m} x^{3 \, n} e^{m} + 8 \, A d^{3} n^{3} x x^{m} x^{3 \, n} e^{m} + 12 \, B c^{2} d m^{3} x x^{m} x^{2 \, n} e^{m} + 12 \, A c d^{2} m^{3} x x^{m} x^{2 \, n} e^{m} + 72 \, B c^{2} d m^{2} n x x^{m} x^{2 \, n} e^{m} + 72 \, A c d^{2} m^{2} n x x^{m} x^{2 \, n} e^{m} + 114 \, B c^{2} d m n^{2} x x^{m} x^{2 \, n} e^{m} + 114 \, A c d^{2} m n^{2} x x^{m} x^{2 \, n} e^{m} + 36 \, B c^{2} d n^{3} x x^{m} x^{2 \, n} e^{m} + 36 \, A c d^{2} n^{3} x x^{m} x^{2 \, n} e^{m} + 4 \, B c^{3} m^{3} x x^{m} x^{n} e^{m} + 12 \, A c^{2} d m^{3} x x^{m} x^{n} e^{m} + 27 \, B c^{3} m^{2} n x x^{m} x^{n} e^{m} + 81 \, A c^{2} d m^{2} n x x^{m} x^{n} e^{m} + 52 \, B c^{3} m n^{2} x x^{m} x^{n} e^{m} + 156 \, A c^{2} d m n^{2} x x^{m} x^{n} e^{m} + 24 \, B c^{3} n^{3} x x^{m} x^{n} e^{m} + 72 \, A c^{2} d n^{3} x x^{m} x^{n} e^{m} + 4 \, A c^{3} m^{3} x x^{m} e^{m} + 30 \, A c^{3} m^{2} n x x^{m} e^{m} + 70 \, A c^{3} m n^{2} x x^{m} e^{m} + 50 \, A c^{3} n^{3} x x^{m} e^{m} + 6 \, B d^{3} m^{2} x x^{m} x^{4 \, n} e^{m} + 18 \, B d^{3} m n x x^{m} x^{4 \, n} e^{m} + 11 \, B d^{3} n^{2} x x^{m} x^{4 \, n} e^{m} + 18 \, B c d^{2} m^{2} x x^{m} x^{3 \, n} e^{m} + 6 \, A d^{3} m^{2} x x^{m} x^{3 \, n} e^{m} + 63 \, B c d^{2} m n x x^{m} x^{3 \, n} e^{m} + 21 \, A d^{3} m n x x^{m} x^{3 \, n} e^{m} + 42 \, B c d^{2} n^{2} x x^{m} x^{3 \, n} e^{m} + 14 \, A d^{3} n^{2} x x^{m} x^{3 \, n} e^{m} + 18 \, B c^{2} d m^{2} x x^{m} x^{2 \, n} e^{m} + 18 \, A c d^{2} m^{2} x x^{m} x^{2 \, n} e^{m} + 72 \, B c^{2} d m n x x^{m} x^{2 \, n} e^{m} + 72 \, A c d^{2} m n x x^{m} x^{2 \, n} e^{m} + 57 \, B c^{2} d n^{2} x x^{m} x^{2 \, n} e^{m} + 57 \, A c d^{2} n^{2} x x^{m} x^{2 \, n} e^{m} + 6 \, B c^{3} m^{2} x x^{m} x^{n} e^{m} + 18 \, A c^{2} d m^{2} x x^{m} x^{n} e^{m} + 27 \, B c^{3} m n x x^{m} x^{n} e^{m} + 81 \, A c^{2} d m n x x^{m} x^{n} e^{m} + 26 \, B c^{3} n^{2} x x^{m} x^{n} e^{m} + 78 \, A c^{2} d n^{2} x x^{m} x^{n} e^{m} + 6 \, A c^{3} m^{2} x x^{m} e^{m} + 30 \, A c^{3} m n x x^{m} e^{m} + 35 \, A c^{3} n^{2} x x^{m} e^{m} + 4 \, B d^{3} m x x^{m} x^{4 \, n} e^{m} + 6 \, B d^{3} n x x^{m} x^{4 \, n} e^{m} + 12 \, B c d^{2} m x x^{m} x^{3 \, n} e^{m} + 4 \, A d^{3} m x x^{m} x^{3 \, n} e^{m} + 21 \, B c d^{2} n x x^{m} x^{3 \, n} e^{m} + 7 \, A d^{3} n x x^{m} x^{3 \, n} e^{m} + 12 \, B c^{2} d m x x^{m} x^{2 \, n} e^{m} + 12 \, A c d^{2} m x x^{m} x^{2 \, n} e^{m} + 24 \, B c^{2} d n x x^{m} x^{2 \, n} e^{m} + 24 \, A c d^{2} n x x^{m} x^{2 \, n} e^{m} + 4 \, B c^{3} m x x^{m} x^{n} e^{m} + 12 \, A c^{2} d m x x^{m} x^{n} e^{m} + 9 \, B c^{3} n x x^{m} x^{n} e^{m} + 27 \, A c^{2} d n x x^{m} x^{n} e^{m} + 4 \, A c^{3} m x x^{m} e^{m} + 10 \, A c^{3} n x x^{m} e^{m} + B d^{3} x x^{m} x^{4 \, n} e^{m} + 3 \, B c d^{2} x x^{m} x^{3 \, n} e^{m} + A d^{3} x x^{m} x^{3 \, n} e^{m} + 3 \, B c^{2} d x x^{m} x^{2 \, n} e^{m} + 3 \, A c d^{2} x x^{m} x^{2 \, n} e^{m} + B c^{3} x x^{m} x^{n} e^{m} + 3 \, A c^{2} d x x^{m} x^{n} e^{m} + A c^{3} x x^{m} e^{m}}{m^{5} + 10 \, m^{4} n + 35 \, m^{3} n^{2} + 50 \, m^{2} n^{3} + 24 \, m n^{4} + 5 \, m^{4} + 40 \, m^{3} n + 105 \, m^{2} n^{2} + 100 \, m n^{3} + 24 \, n^{4} + 10 \, m^{3} + 60 \, m^{2} n + 105 \, m n^{2} + 50 \, n^{3} + 10 \, m^{2} + 40 \, m n + 35 \, n^{2} + 5 \, m + 10 \, n + 1}"," ",0,"(B*d^3*m^4*x*x^m*x^(4*n)*e^m + 6*B*d^3*m^3*n*x*x^m*x^(4*n)*e^m + 11*B*d^3*m^2*n^2*x*x^m*x^(4*n)*e^m + 6*B*d^3*m*n^3*x*x^m*x^(4*n)*e^m + 3*B*c*d^2*m^4*x*x^m*x^(3*n)*e^m + A*d^3*m^4*x*x^m*x^(3*n)*e^m + 21*B*c*d^2*m^3*n*x*x^m*x^(3*n)*e^m + 7*A*d^3*m^3*n*x*x^m*x^(3*n)*e^m + 42*B*c*d^2*m^2*n^2*x*x^m*x^(3*n)*e^m + 14*A*d^3*m^2*n^2*x*x^m*x^(3*n)*e^m + 24*B*c*d^2*m*n^3*x*x^m*x^(3*n)*e^m + 8*A*d^3*m*n^3*x*x^m*x^(3*n)*e^m + 3*B*c^2*d*m^4*x*x^m*x^(2*n)*e^m + 3*A*c*d^2*m^4*x*x^m*x^(2*n)*e^m + 24*B*c^2*d*m^3*n*x*x^m*x^(2*n)*e^m + 24*A*c*d^2*m^3*n*x*x^m*x^(2*n)*e^m + 57*B*c^2*d*m^2*n^2*x*x^m*x^(2*n)*e^m + 57*A*c*d^2*m^2*n^2*x*x^m*x^(2*n)*e^m + 36*B*c^2*d*m*n^3*x*x^m*x^(2*n)*e^m + 36*A*c*d^2*m*n^3*x*x^m*x^(2*n)*e^m + B*c^3*m^4*x*x^m*x^n*e^m + 3*A*c^2*d*m^4*x*x^m*x^n*e^m + 9*B*c^3*m^3*n*x*x^m*x^n*e^m + 27*A*c^2*d*m^3*n*x*x^m*x^n*e^m + 26*B*c^3*m^2*n^2*x*x^m*x^n*e^m + 78*A*c^2*d*m^2*n^2*x*x^m*x^n*e^m + 24*B*c^3*m*n^3*x*x^m*x^n*e^m + 72*A*c^2*d*m*n^3*x*x^m*x^n*e^m + A*c^3*m^4*x*x^m*e^m + 10*A*c^3*m^3*n*x*x^m*e^m + 35*A*c^3*m^2*n^2*x*x^m*e^m + 50*A*c^3*m*n^3*x*x^m*e^m + 24*A*c^3*n^4*x*x^m*e^m + 4*B*d^3*m^3*x*x^m*x^(4*n)*e^m + 18*B*d^3*m^2*n*x*x^m*x^(4*n)*e^m + 22*B*d^3*m*n^2*x*x^m*x^(4*n)*e^m + 6*B*d^3*n^3*x*x^m*x^(4*n)*e^m + 12*B*c*d^2*m^3*x*x^m*x^(3*n)*e^m + 4*A*d^3*m^3*x*x^m*x^(3*n)*e^m + 63*B*c*d^2*m^2*n*x*x^m*x^(3*n)*e^m + 21*A*d^3*m^2*n*x*x^m*x^(3*n)*e^m + 84*B*c*d^2*m*n^2*x*x^m*x^(3*n)*e^m + 28*A*d^3*m*n^2*x*x^m*x^(3*n)*e^m + 24*B*c*d^2*n^3*x*x^m*x^(3*n)*e^m + 8*A*d^3*n^3*x*x^m*x^(3*n)*e^m + 12*B*c^2*d*m^3*x*x^m*x^(2*n)*e^m + 12*A*c*d^2*m^3*x*x^m*x^(2*n)*e^m + 72*B*c^2*d*m^2*n*x*x^m*x^(2*n)*e^m + 72*A*c*d^2*m^2*n*x*x^m*x^(2*n)*e^m + 114*B*c^2*d*m*n^2*x*x^m*x^(2*n)*e^m + 114*A*c*d^2*m*n^2*x*x^m*x^(2*n)*e^m + 36*B*c^2*d*n^3*x*x^m*x^(2*n)*e^m + 36*A*c*d^2*n^3*x*x^m*x^(2*n)*e^m + 4*B*c^3*m^3*x*x^m*x^n*e^m + 12*A*c^2*d*m^3*x*x^m*x^n*e^m + 27*B*c^3*m^2*n*x*x^m*x^n*e^m + 81*A*c^2*d*m^2*n*x*x^m*x^n*e^m + 52*B*c^3*m*n^2*x*x^m*x^n*e^m + 156*A*c^2*d*m*n^2*x*x^m*x^n*e^m + 24*B*c^3*n^3*x*x^m*x^n*e^m + 72*A*c^2*d*n^3*x*x^m*x^n*e^m + 4*A*c^3*m^3*x*x^m*e^m + 30*A*c^3*m^2*n*x*x^m*e^m + 70*A*c^3*m*n^2*x*x^m*e^m + 50*A*c^3*n^3*x*x^m*e^m + 6*B*d^3*m^2*x*x^m*x^(4*n)*e^m + 18*B*d^3*m*n*x*x^m*x^(4*n)*e^m + 11*B*d^3*n^2*x*x^m*x^(4*n)*e^m + 18*B*c*d^2*m^2*x*x^m*x^(3*n)*e^m + 6*A*d^3*m^2*x*x^m*x^(3*n)*e^m + 63*B*c*d^2*m*n*x*x^m*x^(3*n)*e^m + 21*A*d^3*m*n*x*x^m*x^(3*n)*e^m + 42*B*c*d^2*n^2*x*x^m*x^(3*n)*e^m + 14*A*d^3*n^2*x*x^m*x^(3*n)*e^m + 18*B*c^2*d*m^2*x*x^m*x^(2*n)*e^m + 18*A*c*d^2*m^2*x*x^m*x^(2*n)*e^m + 72*B*c^2*d*m*n*x*x^m*x^(2*n)*e^m + 72*A*c*d^2*m*n*x*x^m*x^(2*n)*e^m + 57*B*c^2*d*n^2*x*x^m*x^(2*n)*e^m + 57*A*c*d^2*n^2*x*x^m*x^(2*n)*e^m + 6*B*c^3*m^2*x*x^m*x^n*e^m + 18*A*c^2*d*m^2*x*x^m*x^n*e^m + 27*B*c^3*m*n*x*x^m*x^n*e^m + 81*A*c^2*d*m*n*x*x^m*x^n*e^m + 26*B*c^3*n^2*x*x^m*x^n*e^m + 78*A*c^2*d*n^2*x*x^m*x^n*e^m + 6*A*c^3*m^2*x*x^m*e^m + 30*A*c^3*m*n*x*x^m*e^m + 35*A*c^3*n^2*x*x^m*e^m + 4*B*d^3*m*x*x^m*x^(4*n)*e^m + 6*B*d^3*n*x*x^m*x^(4*n)*e^m + 12*B*c*d^2*m*x*x^m*x^(3*n)*e^m + 4*A*d^3*m*x*x^m*x^(3*n)*e^m + 21*B*c*d^2*n*x*x^m*x^(3*n)*e^m + 7*A*d^3*n*x*x^m*x^(3*n)*e^m + 12*B*c^2*d*m*x*x^m*x^(2*n)*e^m + 12*A*c*d^2*m*x*x^m*x^(2*n)*e^m + 24*B*c^2*d*n*x*x^m*x^(2*n)*e^m + 24*A*c*d^2*n*x*x^m*x^(2*n)*e^m + 4*B*c^3*m*x*x^m*x^n*e^m + 12*A*c^2*d*m*x*x^m*x^n*e^m + 9*B*c^3*n*x*x^m*x^n*e^m + 27*A*c^2*d*n*x*x^m*x^n*e^m + 4*A*c^3*m*x*x^m*e^m + 10*A*c^3*n*x*x^m*e^m + B*d^3*x*x^m*x^(4*n)*e^m + 3*B*c*d^2*x*x^m*x^(3*n)*e^m + A*d^3*x*x^m*x^(3*n)*e^m + 3*B*c^2*d*x*x^m*x^(2*n)*e^m + 3*A*c*d^2*x*x^m*x^(2*n)*e^m + B*c^3*x*x^m*x^n*e^m + 3*A*c^2*d*x*x^m*x^n*e^m + A*c^3*x*x^m*e^m)/(m^5 + 10*m^4*n + 35*m^3*n^2 + 50*m^2*n^3 + 24*m*n^4 + 5*m^4 + 40*m^3*n + 105*m^2*n^2 + 100*m*n^3 + 24*n^4 + 10*m^3 + 60*m^2*n + 105*m*n^2 + 50*n^3 + 10*m^2 + 40*m*n + 35*n^2 + 5*m + 10*n + 1)","B",0
19,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^3/(a+b*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(d x^{n} + c\right)}^{3} \left(e x\right)^{m}}{b x^{n} + a}\,{d x}"," ",0,"integrate((B*x^n + A)*(d*x^n + c)^3*(e*x)^m/(b*x^n + a), x)","F",0
20,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^3/(a+b*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(d x^{n} + c\right)}^{3} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(d*x^n + c)^3*(e*x)^m/(b*x^n + a)^2, x)","F",0
21,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^4*(A+B*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{4} \left(e x\right)^{m}}{d x^{n} + c}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)^4*(e*x)^m/(d*x^n + c), x)","F",0
22,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^3*(A+B*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{3} \left(e x\right)^{m}}{d x^{n} + c}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)^3*(e*x)^m/(d*x^n + c), x)","F",0
23,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{2} \left(e x\right)^{m}}{d x^{n} + c}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)^2*(e*x)^m/(d*x^n + c), x)","F",0
24,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)} \left(e x\right)^{m}}{d x^{n} + c}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)*(e*x)^m/(d*x^n + c), x)","F",0
25,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{d x^{n} + c}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/(d*x^n + c), x)","F",0
26,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/((b*x^n + a)*(d*x^n + c)), x)","F",0
27,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/((b*x^n + a)^2*(d*x^n + c)), x)","F",0
28,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)^3/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{3} {\left(d x^{n} + c\right)}}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/((b*x^n + a)^3*(d*x^n + c)), x)","F",0
29,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^3*(A+B*x^n)/(c+d*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{3} \left(e x\right)^{m}}{{\left(d x^{n} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)^3*(e*x)^m/(d*x^n + c)^2, x)","F",0
30,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)/(c+d*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{2} \left(e x\right)^{m}}{{\left(d x^{n} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)^2*(e*x)^m/(d*x^n + c)^2, x)","F",0
31,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)/(c+d*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)} \left(e x\right)^{m}}{{\left(d x^{n} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)*(e*x)^m/(d*x^n + c)^2, x)","F",0
32,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(c+d*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{{\left(d x^{n} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/(d*x^n + c)^2, x)","F",0
33,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)/(c+d*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/((b*x^n + a)*(d*x^n + c)^2), x)","F",0
34,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)^2/(c+d*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/((b*x^n + a)^2*(d*x^n + c)^2), x)","F",0
35,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)^3/(c+d*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{3} {\left(d x^{n} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/((b*x^n + a)^3*(d*x^n + c)^2), x)","F",0
36,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)/(c+d*x^n)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{2} \left(e x\right)^{m}}{{\left(d x^{n} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)^2*(e*x)^m/(d*x^n + c)^3, x)","F",0
37,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)/(c+d*x^n)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)} \left(e x\right)^{m}}{{\left(d x^{n} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)*(e*x)^m/(d*x^n + c)^3, x)","F",0
38,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(c+d*x^n)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{{\left(d x^{n} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/(d*x^n + c)^3, x)","F",0
39,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)/(c+d*x^n)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)} {\left(d x^{n} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/((b*x^n + a)*(d*x^n + c)^3), x)","F",0
40,0,0,0,0.000000," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)^2/(c+d*x^n)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{{\left(b x^{n} + a\right)}^{2} {\left(d x^{n} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^n + A)*(e*x)^m/((b*x^n + a)^2*(d*x^n + c)^3), x)","F",0
41,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^p*(A+B*x^n)*(c+d*x^n)^q,x, algorithm=""giac"")","\int {\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{p} {\left(d x^{n} + c\right)}^{q} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)^p*(d*x^n + c)^q*(e*x)^m, x)","F",0
42,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^p*(A+B*x^n)*(c+d*x^n),x, algorithm=""giac"")","\int {\left(B x^{n} + A\right)} {\left(d x^{n} + c\right)} {\left(b x^{n} + a\right)}^{p} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((B*x^n + A)*(d*x^n + c)*(b*x^n + a)^p*(e*x)^m, x)","F",0
43,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^p*(A+B*x^n)/(c+d*x^n),x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{p} \left(e x\right)^{m}}{d x^{n} + c}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)^p*(e*x)^m/(d*x^n + c), x)","F",0
44,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*x^n)^p*(A+B*x^n)/(c+d*x^n)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{p} \left(e x\right)^{m}}{{\left(d x^{n} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^n + A)*(b*x^n + a)^p*(e*x)^m/(d*x^n + c)^2, x)","F",0
45,0,0,0,0.000000," ","integrate((-a+b*x^(1/2*n))^(-1+1/n)*(a+b*x^(1/2*n))^(-1+1/n)*(c+d*x^n)/x^2,x, algorithm=""giac"")","\int \frac{{\left(d x^{n} + c\right)} {\left(b x^{\frac{1}{2} \, n} + a\right)}^{\frac{1}{n} - 1} {\left(b x^{\frac{1}{2} \, n} - a\right)}^{\frac{1}{n} - 1}}{x^{2}}\,{d x}"," ",0,"integrate((d*x^n + c)*(b*x^(1/2*n) + a)^(1/n - 1)*(b*x^(1/2*n) - a)^(1/n - 1)/x^2, x)","F",0
46,0,0,0,0.000000," ","integrate((-a+b*x^(1/2*n))^((1-n)/n)*(a+b*x^(1/2*n))^((1-n)/n)*(c+d*x^n)/x^2,x, algorithm=""giac"")","\int \frac{d x^{n} + c}{{\left(b x^{\frac{1}{2} \, n} + a\right)}^{\frac{n - 1}{n}} {\left(b x^{\frac{1}{2} \, n} - a\right)}^{\frac{n - 1}{n}} x^{2}}\,{d x}"," ",0,"integrate((d*x^n + c)/((b*x^(1/2*n) + a)^((n - 1)/n)*(b*x^(1/2*n) - a)^((n - 1)/n)*x^2), x)","F",0
