1,1,187,0,0.100624," ","integrate((e*x**3+d)**5*(c*x**6+b*x**3+a),x)","a d^{5} x + \frac{c e^{5} x^{22}}{22} + x^{19} \left(\frac{b e^{5}}{19} + \frac{5 c d e^{4}}{19}\right) + x^{16} \left(\frac{a e^{5}}{16} + \frac{5 b d e^{4}}{16} + \frac{5 c d^{2} e^{3}}{8}\right) + x^{13} \left(\frac{5 a d e^{4}}{13} + \frac{10 b d^{2} e^{3}}{13} + \frac{10 c d^{3} e^{2}}{13}\right) + x^{10} \left(a d^{2} e^{3} + b d^{3} e^{2} + \frac{c d^{4} e}{2}\right) + x^{7} \left(\frac{10 a d^{3} e^{2}}{7} + \frac{5 b d^{4} e}{7} + \frac{c d^{5}}{7}\right) + x^{4} \left(\frac{5 a d^{4} e}{4} + \frac{b d^{5}}{4}\right)"," ",0,"a*d**5*x + c*e**5*x**22/22 + x**19*(b*e**5/19 + 5*c*d*e**4/19) + x**16*(a*e**5/16 + 5*b*d*e**4/16 + 5*c*d**2*e**3/8) + x**13*(5*a*d*e**4/13 + 10*b*d**2*e**3/13 + 10*c*d**3*e**2/13) + x**10*(a*d**2*e**3 + b*d**3*e**2 + c*d**4*e/2) + x**7*(10*a*d**3*e**2/7 + 5*b*d**4*e/7 + c*d**5/7) + x**4*(5*a*d**4*e/4 + b*d**5/4)","A",0
2,1,151,0,0.092566," ","integrate((e*x**3+d)**4*(c*x**6+b*x**3+a),x)","a d^{4} x + \frac{c e^{4} x^{19}}{19} + x^{16} \left(\frac{b e^{4}}{16} + \frac{c d e^{3}}{4}\right) + x^{13} \left(\frac{a e^{4}}{13} + \frac{4 b d e^{3}}{13} + \frac{6 c d^{2} e^{2}}{13}\right) + x^{10} \left(\frac{2 a d e^{3}}{5} + \frac{3 b d^{2} e^{2}}{5} + \frac{2 c d^{3} e}{5}\right) + x^{7} \left(\frac{6 a d^{2} e^{2}}{7} + \frac{4 b d^{3} e}{7} + \frac{c d^{4}}{7}\right) + x^{4} \left(a d^{3} e + \frac{b d^{4}}{4}\right)"," ",0,"a*d**4*x + c*e**4*x**19/19 + x**16*(b*e**4/16 + c*d*e**3/4) + x**13*(a*e**4/13 + 4*b*d*e**3/13 + 6*c*d**2*e**2/13) + x**10*(2*a*d*e**3/5 + 3*b*d**2*e**2/5 + 2*c*d**3*e/5) + x**7*(6*a*d**2*e**2/7 + 4*b*d**3*e/7 + c*d**4/7) + x**4*(a*d**3*e + b*d**4/4)","A",0
3,1,117,0,0.085410," ","integrate((e*x**3+d)**3*(c*x**6+b*x**3+a),x)","a d^{3} x + \frac{c e^{3} x^{16}}{16} + x^{13} \left(\frac{b e^{3}}{13} + \frac{3 c d e^{2}}{13}\right) + x^{10} \left(\frac{a e^{3}}{10} + \frac{3 b d e^{2}}{10} + \frac{3 c d^{2} e}{10}\right) + x^{7} \left(\frac{3 a d e^{2}}{7} + \frac{3 b d^{2} e}{7} + \frac{c d^{3}}{7}\right) + x^{4} \left(\frac{3 a d^{2} e}{4} + \frac{b d^{3}}{4}\right)"," ",0,"a*d**3*x + c*e**3*x**16/16 + x**13*(b*e**3/13 + 3*c*d*e**2/13) + x**10*(a*e**3/10 + 3*b*d*e**2/10 + 3*c*d**2*e/10) + x**7*(3*a*d*e**2/7 + 3*b*d**2*e/7 + c*d**3/7) + x**4*(3*a*d**2*e/4 + b*d**3/4)","A",0
4,1,75,0,0.077416," ","integrate((e*x**3+d)**2*(c*x**6+b*x**3+a),x)","a d^{2} x + \frac{c e^{2} x^{13}}{13} + x^{10} \left(\frac{b e^{2}}{10} + \frac{c d e}{5}\right) + x^{7} \left(\frac{a e^{2}}{7} + \frac{2 b d e}{7} + \frac{c d^{2}}{7}\right) + x^{4} \left(\frac{a d e}{2} + \frac{b d^{2}}{4}\right)"," ",0,"a*d**2*x + c*e**2*x**13/13 + x**10*(b*e**2/10 + c*d*e/5) + x**7*(a*e**2/7 + 2*b*d*e/7 + c*d**2/7) + x**4*(a*d*e/2 + b*d**2/4)","A",0
5,1,39,0,0.066411," ","integrate((e*x**3+d)*(c*x**6+b*x**3+a),x)","a d x + \frac{c e x^{10}}{10} + x^{7} \left(\frac{b e}{7} + \frac{c d}{7}\right) + x^{4} \left(\frac{a e}{4} + \frac{b d}{4}\right)"," ",0,"a*d*x + c*e*x**10/10 + x**7*(b*e/7 + c*d/7) + x**4*(a*e/4 + b*d/4)","A",0
6,1,175,0,0.901335," ","integrate((c*x**6+b*x**3+a)/(e*x**3+d),x)","\frac{c x^{4}}{4 e} + x \left(\frac{b}{e} - \frac{c d}{e^{2}}\right) + \operatorname{RootSum} {\left(27 t^{3} d^{2} e^{7} - a^{3} e^{6} + 3 a^{2} b d e^{5} - 3 a^{2} c d^{2} e^{4} - 3 a b^{2} d^{2} e^{4} + 6 a b c d^{3} e^{3} - 3 a c^{2} d^{4} e^{2} + b^{3} d^{3} e^{3} - 3 b^{2} c d^{4} e^{2} + 3 b c^{2} d^{5} e - c^{3} d^{6}, \left( t \mapsto t \log{\left(\frac{3 t d e^{2}}{a e^{2} - b d e + c d^{2}} + x \right)} \right)\right)}"," ",0,"c*x**4/(4*e) + x*(b/e - c*d/e**2) + RootSum(27*_t**3*d**2*e**7 - a**3*e**6 + 3*a**2*b*d*e**5 - 3*a**2*c*d**2*e**4 - 3*a*b**2*d**2*e**4 + 6*a*b*c*d**3*e**3 - 3*a*c**2*d**4*e**2 + b**3*d**3*e**3 - 3*b**2*c*d**4*e**2 + 3*b*c**2*d**5*e - c**3*d**6, Lambda(_t, _t*log(3*_t*d*e**2/(a*e**2 - b*d*e + c*d**2) + x)))","A",0
7,1,206,0,1.676423," ","integrate((c*x**6+b*x**3+a)/(e*x**3+d)**2,x)","\frac{c x}{e^{2}} + \frac{x \left(a e^{2} - b d e + c d^{2}\right)}{3 d^{2} e^{2} + 3 d e^{3} x^{3}} + \operatorname{RootSum} {\left(729 t^{3} d^{5} e^{7} - 8 a^{3} e^{6} - 12 a^{2} b d e^{5} + 48 a^{2} c d^{2} e^{4} - 6 a b^{2} d^{2} e^{4} + 48 a b c d^{3} e^{3} - 96 a c^{2} d^{4} e^{2} - b^{3} d^{3} e^{3} + 12 b^{2} c d^{4} e^{2} - 48 b c^{2} d^{5} e + 64 c^{3} d^{6}, \left( t \mapsto t \log{\left(\frac{9 t d^{2} e^{2}}{2 a e^{2} + b d e - 4 c d^{2}} + x \right)} \right)\right)}"," ",0,"c*x/e**2 + x*(a*e**2 - b*d*e + c*d**2)/(3*d**2*e**2 + 3*d*e**3*x**3) + RootSum(729*_t**3*d**5*e**7 - 8*a**3*e**6 - 12*a**2*b*d*e**5 + 48*a**2*c*d**2*e**4 - 6*a*b**2*d**2*e**4 + 48*a*b*c*d**3*e**3 - 96*a*c**2*d**4*e**2 - b**3*d**3*e**3 + 12*b**2*c*d**4*e**2 - 48*b*c**2*d**5*e + 64*c**3*d**6, Lambda(_t, _t*log(9*_t*d**2*e**2/(2*a*e**2 + b*d*e - 4*c*d**2) + x)))","A",0
8,1,246,0,5.234417," ","integrate((c*x**6+b*x**3+a)/(e*x**3+d)**3,x)","\frac{x^{4} \left(5 a e^{3} + b d e^{2} - 7 c d^{2} e\right) + x \left(8 a d e^{2} - 2 b d^{2} e - 4 c d^{3}\right)}{18 d^{4} e^{2} + 36 d^{3} e^{3} x^{3} + 18 d^{2} e^{4} x^{6}} + \operatorname{RootSum} {\left(19683 t^{3} d^{8} e^{7} - 125 a^{3} e^{6} - 75 a^{2} b d e^{5} - 150 a^{2} c d^{2} e^{4} - 15 a b^{2} d^{2} e^{4} - 60 a b c d^{3} e^{3} - 60 a c^{2} d^{4} e^{2} - b^{3} d^{3} e^{3} - 6 b^{2} c d^{4} e^{2} - 12 b c^{2} d^{5} e - 8 c^{3} d^{6}, \left( t \mapsto t \log{\left(\frac{27 t d^{3} e^{2}}{5 a e^{2} + b d e + 2 c d^{2}} + x \right)} \right)\right)}"," ",0,"(x**4*(5*a*e**3 + b*d*e**2 - 7*c*d**2*e) + x*(8*a*d*e**2 - 2*b*d**2*e - 4*c*d**3))/(18*d**4*e**2 + 36*d**3*e**3*x**3 + 18*d**2*e**4*x**6) + RootSum(19683*_t**3*d**8*e**7 - 125*a**3*e**6 - 75*a**2*b*d*e**5 - 150*a**2*c*d**2*e**4 - 15*a*b**2*d**2*e**4 - 60*a*b*c*d**3*e**3 - 60*a*c**2*d**4*e**2 - b**3*d**3*e**3 - 6*b**2*c*d**4*e**2 - 12*b*c**2*d**5*e - 8*c**3*d**6, Lambda(_t, _t*log(27*_t*d**3*e**2/(5*a*e**2 + b*d*e + 2*c*d**2) + x)))","A",0
9,1,620,0,55.468206," ","integrate(x**8*(e*x**3+d)/(c*x**6+b*x**3+a),x)","x^{3} \left(- \frac{b e}{3 c^{2}} + \frac{d}{3 c}\right) + \left(- \frac{\sqrt{- 4 a c + b^{2}} \left(3 a b c e - 2 a c^{2} d - b^{3} e + b^{2} c d\right)}{6 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c e - b^{2} e + b c d}{6 c^{3}}\right) \log{\left(x^{3} + \frac{2 a^{2} c e - a b^{2} e + a b c d + 12 a c^{3} \left(- \frac{\sqrt{- 4 a c + b^{2}} \left(3 a b c e - 2 a c^{2} d - b^{3} e + b^{2} c d\right)}{6 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c e - b^{2} e + b c d}{6 c^{3}}\right) - 3 b^{2} c^{2} \left(- \frac{\sqrt{- 4 a c + b^{2}} \left(3 a b c e - 2 a c^{2} d - b^{3} e + b^{2} c d\right)}{6 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c e - b^{2} e + b c d}{6 c^{3}}\right)}{3 a b c e - 2 a c^{2} d - b^{3} e + b^{2} c d} \right)} + \left(\frac{\sqrt{- 4 a c + b^{2}} \left(3 a b c e - 2 a c^{2} d - b^{3} e + b^{2} c d\right)}{6 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c e - b^{2} e + b c d}{6 c^{3}}\right) \log{\left(x^{3} + \frac{2 a^{2} c e - a b^{2} e + a b c d + 12 a c^{3} \left(\frac{\sqrt{- 4 a c + b^{2}} \left(3 a b c e - 2 a c^{2} d - b^{3} e + b^{2} c d\right)}{6 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c e - b^{2} e + b c d}{6 c^{3}}\right) - 3 b^{2} c^{2} \left(\frac{\sqrt{- 4 a c + b^{2}} \left(3 a b c e - 2 a c^{2} d - b^{3} e + b^{2} c d\right)}{6 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c e - b^{2} e + b c d}{6 c^{3}}\right)}{3 a b c e - 2 a c^{2} d - b^{3} e + b^{2} c d} \right)} + \frac{e x^{6}}{6 c}"," ",0,"x**3*(-b*e/(3*c**2) + d/(3*c)) + (-sqrt(-4*a*c + b**2)*(3*a*b*c*e - 2*a*c**2*d - b**3*e + b**2*c*d)/(6*c**3*(4*a*c - b**2)) - (a*c*e - b**2*e + b*c*d)/(6*c**3))*log(x**3 + (2*a**2*c*e - a*b**2*e + a*b*c*d + 12*a*c**3*(-sqrt(-4*a*c + b**2)*(3*a*b*c*e - 2*a*c**2*d - b**3*e + b**2*c*d)/(6*c**3*(4*a*c - b**2)) - (a*c*e - b**2*e + b*c*d)/(6*c**3)) - 3*b**2*c**2*(-sqrt(-4*a*c + b**2)*(3*a*b*c*e - 2*a*c**2*d - b**3*e + b**2*c*d)/(6*c**3*(4*a*c - b**2)) - (a*c*e - b**2*e + b*c*d)/(6*c**3)))/(3*a*b*c*e - 2*a*c**2*d - b**3*e + b**2*c*d)) + (sqrt(-4*a*c + b**2)*(3*a*b*c*e - 2*a*c**2*d - b**3*e + b**2*c*d)/(6*c**3*(4*a*c - b**2)) - (a*c*e - b**2*e + b*c*d)/(6*c**3))*log(x**3 + (2*a**2*c*e - a*b**2*e + a*b*c*d + 12*a*c**3*(sqrt(-4*a*c + b**2)*(3*a*b*c*e - 2*a*c**2*d - b**3*e + b**2*c*d)/(6*c**3*(4*a*c - b**2)) - (a*c*e - b**2*e + b*c*d)/(6*c**3)) - 3*b**2*c**2*(sqrt(-4*a*c + b**2)*(3*a*b*c*e - 2*a*c**2*d - b**3*e + b**2*c*d)/(6*c**3*(4*a*c - b**2)) - (a*c*e - b**2*e + b*c*d)/(6*c**3)))/(3*a*b*c*e - 2*a*c**2*d - b**3*e + b**2*c*d)) + e*x**6/(6*c)","B",0
10,1,434,0,17.489349," ","integrate(x**5*(e*x**3+d)/(c*x**6+b*x**3+a),x)","\left(- \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c e - b^{2} e + b c d\right)}{6 c^{2} \left(4 a c - b^{2}\right)} - \frac{b e - c d}{6 c^{2}}\right) \log{\left(x^{3} + \frac{- a b e - 12 a c^{2} \left(- \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c e - b^{2} e + b c d\right)}{6 c^{2} \left(4 a c - b^{2}\right)} - \frac{b e - c d}{6 c^{2}}\right) + 2 a c d + 3 b^{2} c \left(- \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c e - b^{2} e + b c d\right)}{6 c^{2} \left(4 a c - b^{2}\right)} - \frac{b e - c d}{6 c^{2}}\right)}{2 a c e - b^{2} e + b c d} \right)} + \left(\frac{\sqrt{- 4 a c + b^{2}} \left(2 a c e - b^{2} e + b c d\right)}{6 c^{2} \left(4 a c - b^{2}\right)} - \frac{b e - c d}{6 c^{2}}\right) \log{\left(x^{3} + \frac{- a b e - 12 a c^{2} \left(\frac{\sqrt{- 4 a c + b^{2}} \left(2 a c e - b^{2} e + b c d\right)}{6 c^{2} \left(4 a c - b^{2}\right)} - \frac{b e - c d}{6 c^{2}}\right) + 2 a c d + 3 b^{2} c \left(\frac{\sqrt{- 4 a c + b^{2}} \left(2 a c e - b^{2} e + b c d\right)}{6 c^{2} \left(4 a c - b^{2}\right)} - \frac{b e - c d}{6 c^{2}}\right)}{2 a c e - b^{2} e + b c d} \right)} + \frac{e x^{3}}{3 c}"," ",0,"(-sqrt(-4*a*c + b**2)*(2*a*c*e - b**2*e + b*c*d)/(6*c**2*(4*a*c - b**2)) - (b*e - c*d)/(6*c**2))*log(x**3 + (-a*b*e - 12*a*c**2*(-sqrt(-4*a*c + b**2)*(2*a*c*e - b**2*e + b*c*d)/(6*c**2*(4*a*c - b**2)) - (b*e - c*d)/(6*c**2)) + 2*a*c*d + 3*b**2*c*(-sqrt(-4*a*c + b**2)*(2*a*c*e - b**2*e + b*c*d)/(6*c**2*(4*a*c - b**2)) - (b*e - c*d)/(6*c**2)))/(2*a*c*e - b**2*e + b*c*d)) + (sqrt(-4*a*c + b**2)*(2*a*c*e - b**2*e + b*c*d)/(6*c**2*(4*a*c - b**2)) - (b*e - c*d)/(6*c**2))*log(x**3 + (-a*b*e - 12*a*c**2*(sqrt(-4*a*c + b**2)*(2*a*c*e - b**2*e + b*c*d)/(6*c**2*(4*a*c - b**2)) - (b*e - c*d)/(6*c**2)) + 2*a*c*d + 3*b**2*c*(sqrt(-4*a*c + b**2)*(2*a*c*e - b**2*e + b*c*d)/(6*c**2*(4*a*c - b**2)) - (b*e - c*d)/(6*c**2)))/(2*a*c*e - b**2*e + b*c*d)) + e*x**3/(3*c)","B",0
11,1,287,0,6.547976," ","integrate(x**2*(e*x**3+d)/(c*x**6+b*x**3+a),x)","\left(\frac{e}{6 c} - \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{6 c \left(4 a c - b^{2}\right)}\right) \log{\left(x^{3} + \frac{- 12 a c \left(\frac{e}{6 c} - \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{6 c \left(4 a c - b^{2}\right)}\right) + 2 a e + 3 b^{2} \left(\frac{e}{6 c} - \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{6 c \left(4 a c - b^{2}\right)}\right) - b d}{b e - 2 c d} \right)} + \left(\frac{e}{6 c} + \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{6 c \left(4 a c - b^{2}\right)}\right) \log{\left(x^{3} + \frac{- 12 a c \left(\frac{e}{6 c} + \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{6 c \left(4 a c - b^{2}\right)}\right) + 2 a e + 3 b^{2} \left(\frac{e}{6 c} + \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{6 c \left(4 a c - b^{2}\right)}\right) - b d}{b e - 2 c d} \right)}"," ",0,"(e/(6*c) - sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(6*c*(4*a*c - b**2)))*log(x**3 + (-12*a*c*(e/(6*c) - sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(6*c*(4*a*c - b**2))) + 2*a*e + 3*b**2*(e/(6*c) - sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(6*c*(4*a*c - b**2))) - b*d)/(b*e - 2*c*d)) + (e/(6*c) + sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(6*c*(4*a*c - b**2)))*log(x**3 + (-12*a*c*(e/(6*c) + sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(6*c*(4*a*c - b**2))) + 2*a*e + 3*b**2*(e/(6*c) + sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(6*c*(4*a*c - b**2))) - b*d)/(b*e - 2*c*d))","B",0
12,-1,0,0,0.000000," ","integrate((e*x**3+d)/x/(c*x**6+b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
13,-1,0,0,0.000000," ","integrate((e*x**3+d)/x**4/(c*x**6+b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,-1,0,0,0.000000," ","integrate(x**4*(e*x**3+d)/(c*x**6+b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,-1,0,0,0.000000," ","integrate(x**3*(e*x**3+d)/(c*x**6+b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,-1,0,0,0.000000," ","integrate(x*(e*x**3+d)/(c*x**6+b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,-1,0,0,0.000000," ","integrate((e*x**3+d)/(c*x**6+b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,-1,0,0,0.000000," ","integrate((e*x**3+d)/x**2/(c*x**6+b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,-1,0,0,0.000000," ","integrate((e*x**3+d)/x**3/(c*x**6+b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,1,42,0,0.136538," ","integrate(x**8*(-x**3+1)/(x**6-x**3+1),x)","- \frac{x^{6}}{6} + \frac{\log{\left(x^{6} - x^{3} + 1 \right)}}{6} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{3}}{3} - \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"-x**6/6 + log(x**6 - x**3 + 1)/6 + sqrt(3)*atan(2*sqrt(3)*x**3/3 - sqrt(3)/3)/9","A",0
21,1,32,0,0.121279," ","integrate(x**5*(-x**3+1)/(x**6-x**3+1),x)","- \frac{x^{3}}{3} + \frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{3}}{3} - \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"-x**3/3 + 2*sqrt(3)*atan(2*sqrt(3)*x**3/3 - sqrt(3)/3)/9","A",0
22,1,37,0,0.135379," ","integrate(x**2*(-x**3+1)/(x**6-x**3+1),x)","- \frac{\log{\left(x^{6} - x^{3} + 1 \right)}}{6} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{3}}{3} - \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"-log(x**6 - x**3 + 1)/6 + sqrt(3)*atan(2*sqrt(3)*x**3/3 - sqrt(3)/3)/9","A",0
23,1,41,0,0.148588," ","integrate((-x**3+1)/x/(x**6-x**3+1),x)","\log{\left(x \right)} - \frac{\log{\left(x^{6} - x^{3} + 1 \right)}}{6} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{3}}{3} - \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"log(x) - log(x**6 - x**3 + 1)/6 - sqrt(3)*atan(2*sqrt(3)*x**3/3 - sqrt(3)/3)/9","A",0
24,1,36,0,0.143919," ","integrate((-x**3+1)/x**4/(x**6-x**3+1),x)","- \frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{3}}{3} - \frac{\sqrt{3}}{3} \right)}}{9} - \frac{1}{3 x^{3}}"," ",0,"-2*sqrt(3)*atan(2*sqrt(3)*x**3/3 - sqrt(3)/3)/9 - 1/(3*x**3)","A",0
25,1,31,0,0.182110," ","integrate(x**6*(-x**3+1)/(x**6-x**3+1),x)","- \frac{x^{4}}{4} - \operatorname{RootSum} {\left(19683 t^{6} - 243 t^{3} + 1, \left( t \mapsto t \log{\left(- 1458 t^{4} + 9 t + x \right)} \right)\right)}"," ",0,"-x**4/4 - RootSum(19683*_t**6 - 243*_t**3 + 1, Lambda(_t, _t*log(-1458*_t**4 + 9*_t + x)))","A",0
26,1,32,0,0.185400," ","integrate(x**4*(-x**3+1)/(x**6-x**3+1),x)","- \frac{x^{2}}{2} - \operatorname{RootSum} {\left(19683 t^{6} + 243 t^{3} + 1, \left( t \mapsto t \log{\left(- 6561 t^{5} - 27 t^{2} + x \right)} \right)\right)}"," ",0,"-x**2/2 - RootSum(19683*_t**6 + 243*_t**3 + 1, Lambda(_t, _t*log(-6561*_t**5 - 27*_t**2 + x)))","A",0
27,1,24,0,0.180002," ","integrate(x**3*(-x**3+1)/(x**6-x**3+1),x)","- x - \operatorname{RootSum} {\left(19683 t^{6} + 243 t^{3} + 1, \left( t \mapsto t \log{\left(729 t^{4} + x \right)} \right)\right)}"," ",0,"-x - RootSum(19683*_t**6 + 243*_t**3 + 1, Lambda(_t, _t*log(729*_t**4 + x)))","A",0
28,1,22,0,0.180818," ","integrate(x*(-x**3+1)/(x**6-x**3+1),x)","- \operatorname{RootSum} {\left(19683 t^{6} - 243 t^{3} + 1, \left( t \mapsto t \log{\left(- 27 t^{2} + x \right)} \right)\right)}"," ",0,"-RootSum(19683*_t**6 - 243*_t**3 + 1, Lambda(_t, _t*log(-27*_t**2 + x)))","A",0
29,1,26,0,0.179015," ","integrate((-x**3+1)/(x**6-x**3+1),x)","- \operatorname{RootSum} {\left(19683 t^{6} - 243 t^{3} + 1, \left( t \mapsto t \log{\left(729 t^{4} - 9 t + x \right)} \right)\right)}"," ",0,"-RootSum(19683*_t**6 - 243*_t**3 + 1, Lambda(_t, _t*log(729*_t**4 - 9*_t + x)))","A",0
30,1,31,0,0.194948," ","integrate((-x**3+1)/x**2/(x**6-x**3+1),x)","- \operatorname{RootSum} {\left(19683 t^{6} + 243 t^{3} + 1, \left( t \mapsto t \log{\left(6561 t^{5} + 54 t^{2} + x \right)} \right)\right)} - \frac{1}{x}"," ",0,"-RootSum(19683*_t**6 + 243*_t**3 + 1, Lambda(_t, _t*log(6561*_t**5 + 54*_t**2 + x))) - 1/x","A",0
31,1,32,0,0.199965," ","integrate((-x**3+1)/x**3/(x**6-x**3+1),x)","- \operatorname{RootSum} {\left(19683 t^{6} + 243 t^{3} + 1, \left( t \mapsto t \log{\left(- 1458 t^{4} - 9 t + x \right)} \right)\right)} - \frac{1}{2 x^{2}}"," ",0,"-RootSum(19683*_t**6 + 243*_t**3 + 1, Lambda(_t, _t*log(-1458*_t**4 - 9*_t + x))) - 1/(2*x**2)","A",0
32,1,37,0,0.133647," ","integrate(x**2*(x**3-2)/(x**6-x**3+1),x)","\frac{\log{\left(x^{6} - x^{3} + 1 \right)}}{6} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{3}}{3} - \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"log(x**6 - x**3 + 1)/6 - sqrt(3)*atan(2*sqrt(3)*x**3/3 - sqrt(3)/3)/3","A",0
33,1,41,0,0.150031," ","integrate((x**3+1)/x/(x**6-x**3+1),x)","\log{\left(x \right)} - \frac{\log{\left(x^{6} - x^{3} + 1 \right)}}{6} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{3}}{3} - \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"log(x) - log(x**6 - x**3 + 1)/6 + sqrt(3)*atan(2*sqrt(3)*x**3/3 - sqrt(3)/3)/3","A",0
34,1,41,0,0.143876," ","integrate((x**3+1)/(x**7-x**4+x),x)","\log{\left(x \right)} - \frac{\log{\left(x^{6} - x^{3} + 1 \right)}}{6} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{3}}{3} - \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"log(x) - log(x**6 - x**3 + 1)/6 + sqrt(3)*atan(2*sqrt(3)*x**3/3 - sqrt(3)/3)/3","A",0
35,1,400,0,9.014461," ","integrate((e*x**3+d)**(5/2)*(c*x**6+b*x**3+a),x)","\frac{a d^{\frac{5}{2}} x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{2 a d^{\frac{3}{2}} e x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)} + \frac{a \sqrt{d} e^{2} x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)} + \frac{b d^{\frac{5}{2}} x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)} + \frac{2 b d^{\frac{3}{2}} e x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)} + \frac{b \sqrt{d} e^{2} x^{10} \Gamma\left(\frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{10}{3} \\ \frac{13}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{13}{3}\right)} + \frac{c d^{\frac{5}{2}} x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)} + \frac{2 c d^{\frac{3}{2}} e x^{10} \Gamma\left(\frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{10}{3} \\ \frac{13}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{13}{3}\right)} + \frac{c \sqrt{d} e^{2} x^{13} \Gamma\left(\frac{13}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{13}{3} \\ \frac{16}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{16}{3}\right)}"," ",0,"a*d**(5/2)*x*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(4/3)) + 2*a*d**(3/2)*e*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(7/3)) + a*sqrt(d)*e**2*x**7*gamma(7/3)*hyper((-1/2, 7/3), (10/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(10/3)) + b*d**(5/2)*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(7/3)) + 2*b*d**(3/2)*e*x**7*gamma(7/3)*hyper((-1/2, 7/3), (10/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(10/3)) + b*sqrt(d)*e**2*x**10*gamma(10/3)*hyper((-1/2, 10/3), (13/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(13/3)) + c*d**(5/2)*x**7*gamma(7/3)*hyper((-1/2, 7/3), (10/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(10/3)) + 2*c*d**(3/2)*e*x**10*gamma(10/3)*hyper((-1/2, 10/3), (13/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(13/3)) + c*sqrt(d)*e**2*x**13*gamma(13/3)*hyper((-1/2, 13/3), (16/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(16/3))","A",0
36,1,257,0,5.917720," ","integrate((e*x**3+d)**(3/2)*(c*x**6+b*x**3+a),x)","\frac{a d^{\frac{3}{2}} x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{a \sqrt{d} e x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)} + \frac{b d^{\frac{3}{2}} x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)} + \frac{b \sqrt{d} e x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)} + \frac{c d^{\frac{3}{2}} x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)} + \frac{c \sqrt{d} e x^{10} \Gamma\left(\frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{10}{3} \\ \frac{13}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{13}{3}\right)}"," ",0,"a*d**(3/2)*x*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(4/3)) + a*sqrt(d)*e*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(7/3)) + b*d**(3/2)*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(7/3)) + b*sqrt(d)*e*x**7*gamma(7/3)*hyper((-1/2, 7/3), (10/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(10/3)) + c*d**(3/2)*x**7*gamma(7/3)*hyper((-1/2, 7/3), (10/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(10/3)) + c*sqrt(d)*e*x**10*gamma(10/3)*hyper((-1/2, 10/3), (13/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(13/3))","A",0
37,1,124,0,3.449478," ","integrate((e*x**3+d)**(1/2)*(c*x**6+b*x**3+a),x)","\frac{a \sqrt{d} x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{b \sqrt{d} x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)} + \frac{c \sqrt{d} x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)}"," ",0,"a*sqrt(d)*x*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(4/3)) + b*sqrt(d)*x**4*gamma(4/3)*hyper((-1/2, 4/3), (7/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(7/3)) + c*sqrt(d)*x**7*gamma(7/3)*hyper((-1/2, 7/3), (10/3,), e*x**3*exp_polar(I*pi)/d)/(3*gamma(10/3))","A",0
38,1,119,0,2.904426," ","integrate((c*x**6+b*x**3+a)/(e*x**3+d)**(1/2),x)","\frac{a x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{2} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \sqrt{d} \Gamma\left(\frac{4}{3}\right)} + \frac{b x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \sqrt{d} \Gamma\left(\frac{7}{3}\right)} + \frac{c x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 \sqrt{d} \Gamma\left(\frac{10}{3}\right)}"," ",0,"a*x*gamma(1/3)*hyper((1/3, 1/2), (4/3,), e*x**3*exp_polar(I*pi)/d)/(3*sqrt(d)*gamma(4/3)) + b*x**4*gamma(4/3)*hyper((1/2, 4/3), (7/3,), e*x**3*exp_polar(I*pi)/d)/(3*sqrt(d)*gamma(7/3)) + c*x**7*gamma(7/3)*hyper((1/2, 7/3), (10/3,), e*x**3*exp_polar(I*pi)/d)/(3*sqrt(d)*gamma(10/3))","A",0
39,1,119,0,15.072750," ","integrate((c*x**6+b*x**3+a)/(e*x**3+d)**(3/2),x)","\frac{a x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{3}{2} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 d^{\frac{3}{2}} \Gamma\left(\frac{4}{3}\right)} + \frac{b x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{4}{3}, \frac{3}{2} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 d^{\frac{3}{2}} \Gamma\left(\frac{7}{3}\right)} + \frac{c x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 d^{\frac{3}{2}} \Gamma\left(\frac{10}{3}\right)}"," ",0,"a*x*gamma(1/3)*hyper((1/3, 3/2), (4/3,), e*x**3*exp_polar(I*pi)/d)/(3*d**(3/2)*gamma(4/3)) + b*x**4*gamma(4/3)*hyper((4/3, 3/2), (7/3,), e*x**3*exp_polar(I*pi)/d)/(3*d**(3/2)*gamma(7/3)) + c*x**7*gamma(7/3)*hyper((3/2, 7/3), (10/3,), e*x**3*exp_polar(I*pi)/d)/(3*d**(3/2)*gamma(10/3))","A",0
40,1,119,0,86.878908," ","integrate((c*x**6+b*x**3+a)/(e*x**3+d)**(5/2),x)","\frac{a x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{5}{2} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 d^{\frac{5}{2}} \Gamma\left(\frac{4}{3}\right)} + \frac{b x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{4}{3}, \frac{5}{2} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 d^{\frac{5}{2}} \Gamma\left(\frac{7}{3}\right)} + \frac{c x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{7}{3}, \frac{5}{2} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e x^{3} e^{i \pi}}{d}} \right)}}{3 d^{\frac{5}{2}} \Gamma\left(\frac{10}{3}\right)}"," ",0,"a*x*gamma(1/3)*hyper((1/3, 5/2), (4/3,), e*x**3*exp_polar(I*pi)/d)/(3*d**(5/2)*gamma(4/3)) + b*x**4*gamma(4/3)*hyper((4/3, 5/2), (7/3,), e*x**3*exp_polar(I*pi)/d)/(3*d**(5/2)*gamma(7/3)) + c*x**7*gamma(7/3)*hyper((7/3, 5/2), (10/3,), e*x**3*exp_polar(I*pi)/d)/(3*d**(5/2)*gamma(10/3))","A",0
41,-1,0,0,0.000000," ","integrate((c*x**6+b*x**3+a)/(e*x**3+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate((c*x**6+b*x**3+a)/(e*x**3+d)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,-1,0,0,0.000000," ","integrate(x**4*(e*x**4+d)/(c*x**8+b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,1,287,0,18.295268," ","integrate(x**3*(e*x**4+d)/(c*x**8+b*x**4+a),x)","\left(\frac{e}{8 c} - \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{8 c \left(4 a c - b^{2}\right)}\right) \log{\left(x^{4} + \frac{- 16 a c \left(\frac{e}{8 c} - \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{8 c \left(4 a c - b^{2}\right)}\right) + 2 a e + 4 b^{2} \left(\frac{e}{8 c} - \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{8 c \left(4 a c - b^{2}\right)}\right) - b d}{b e - 2 c d} \right)} + \left(\frac{e}{8 c} + \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{8 c \left(4 a c - b^{2}\right)}\right) \log{\left(x^{4} + \frac{- 16 a c \left(\frac{e}{8 c} + \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{8 c \left(4 a c - b^{2}\right)}\right) + 2 a e + 4 b^{2} \left(\frac{e}{8 c} + \frac{\sqrt{- 4 a c + b^{2}} \left(b e - 2 c d\right)}{8 c \left(4 a c - b^{2}\right)}\right) - b d}{b e - 2 c d} \right)}"," ",0,"(e/(8*c) - sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(8*c*(4*a*c - b**2)))*log(x**4 + (-16*a*c*(e/(8*c) - sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(8*c*(4*a*c - b**2))) + 2*a*e + 4*b**2*(e/(8*c) - sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(8*c*(4*a*c - b**2))) - b*d)/(b*e - 2*c*d)) + (e/(8*c) + sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(8*c*(4*a*c - b**2)))*log(x**4 + (-16*a*c*(e/(8*c) + sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(8*c*(4*a*c - b**2))) + 2*a*e + 4*b**2*(e/(8*c) + sqrt(-4*a*c + b**2)*(b*e - 2*c*d)/(8*c*(4*a*c - b**2))) - b*d)/(b*e - 2*c*d))","B",0
45,-1,0,0,0.000000," ","integrate(x**2*(e*x**4+d)/(c*x**8+b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-1,0,0,0.000000," ","integrate(x*(e*x**4+d)/(c*x**8+b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,-1,0,0,0.000000," ","integrate((e*x**4+d)/(c*x**8+b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,-1,0,0,0.000000," ","integrate((e*x**4+d)/x/(c*x**8+b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,-1,0,0,0.000000," ","integrate((e*x**4+d)/x**2/(c*x**8+b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,-1,0,0,0.000000," ","integrate((e*x**4+d)/x**3/(c*x**8+b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,-1,0,0,0.000000," ","integrate((e*x**4+d)/x**4/(c*x**8+b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,1,170,0,0.225887," ","integrate(x**4*(-x**4+1)/(x**8-x**4+1),x)","- x - \frac{\sqrt{6} \left(- 2 \operatorname{atan}{\left(\frac{\sqrt{6} x}{3} - \frac{1}{3} \right)} - 2 \operatorname{atan}{\left(\sqrt{6} x^{3} - 4 x^{2} + 2 \sqrt{6} x - 3 \right)}\right)}{24} - \frac{\sqrt{6} \left(- 2 \operatorname{atan}{\left(\frac{\sqrt{6} x}{3} + \frac{1}{3} \right)} - 2 \operatorname{atan}{\left(\sqrt{6} x^{3} + 4 x^{2} + 2 \sqrt{6} x + 3 \right)}\right)}{24} - \frac{\sqrt{6} \log{\left(x^{4} - \sqrt{6} x^{3} + 3 x^{2} - \sqrt{6} x + 1 \right)}}{24} + \frac{\sqrt{6} \log{\left(x^{4} + \sqrt{6} x^{3} + 3 x^{2} + \sqrt{6} x + 1 \right)}}{24}"," ",0,"-x - sqrt(6)*(-2*atan(sqrt(6)*x/3 - 1/3) - 2*atan(sqrt(6)*x**3 - 4*x**2 + 2*sqrt(6)*x - 3))/24 - sqrt(6)*(-2*atan(sqrt(6)*x/3 + 1/3) - 2*atan(sqrt(6)*x**3 + 4*x**2 + 2*sqrt(6)*x + 3))/24 - sqrt(6)*log(x**4 - sqrt(6)*x**3 + 3*x**2 - sqrt(6)*x + 1)/24 + sqrt(6)*log(x**4 + sqrt(6)*x**3 + 3*x**2 + sqrt(6)*x + 1)/24","A",0
53,1,37,0,0.145596," ","integrate(x**3*(-x**4+1)/(x**8-x**4+1),x)","- \frac{\log{\left(x^{8} - x^{4} + 1 \right)}}{8} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{4}}{3} - \frac{\sqrt{3}}{3} \right)}}{12}"," ",0,"-log(x**8 - x**4 + 1)/8 + sqrt(3)*atan(2*sqrt(3)*x**4/3 - sqrt(3)/3)/12","A",0
54,1,27,0,3.163865," ","integrate(x**2*(-x**4+1)/(x**8-x**4+1),x)","- \operatorname{RootSum} {\left(5308416 t^{8} - 2304 t^{4} + 1, \left( t \mapsto t \log{\left(442368 t^{7} - 384 t^{3} + x \right)} \right)\right)}"," ",0,"-RootSum(5308416*_t**8 - 2304*_t**4 + 1, Lambda(_t, _t*log(442368*_t**7 - 384*_t**3 + x)))","A",0
55,1,42,0,0.128713," ","integrate(x*(-x**4+1)/(x**8-x**4+1),x)","- \frac{\sqrt{3} \log{\left(x^{4} - \sqrt{3} x^{2} + 1 \right)}}{12} + \frac{\sqrt{3} \log{\left(x^{4} + \sqrt{3} x^{2} + 1 \right)}}{12}"," ",0,"-sqrt(3)*log(x**4 - sqrt(3)*x**2 + 1)/12 + sqrt(3)*log(x**4 + sqrt(3)*x**2 + 1)/12","A",0
56,1,26,0,3.226484," ","integrate((-x**4+1)/(x**8-x**4+1),x)","- \operatorname{RootSum} {\left(5308416 t^{8} - 2304 t^{4} + 1, \left( t \mapsto t \log{\left(9216 t^{5} - 8 t + x \right)} \right)\right)}"," ",0,"-RootSum(5308416*_t**8 - 2304*_t**4 + 1, Lambda(_t, _t*log(9216*_t**5 - 8*_t + x)))","A",0
57,1,41,0,0.160153," ","integrate((-x**4+1)/x/(x**8-x**4+1),x)","\log{\left(x \right)} - \frac{\log{\left(x^{8} - x^{4} + 1 \right)}}{8} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{4}}{3} - \frac{\sqrt{3}}{3} \right)}}{12}"," ",0,"log(x) - log(x**8 - x**4 + 1)/8 - sqrt(3)*atan(2*sqrt(3)*x**4/3 - sqrt(3)/3)/12","A",0
58,1,168,0,0.233666," ","integrate((-x**4+1)/x**2/(x**8-x**4+1),x)","- \frac{\sqrt{6} \left(2 \operatorname{atan}{\left(\frac{\sqrt{6} x}{3} - \frac{1}{3} \right)} + 2 \operatorname{atan}{\left(\sqrt{6} x^{3} - 4 x^{2} + 2 \sqrt{6} x - 3 \right)}\right)}{24} - \frac{\sqrt{6} \left(2 \operatorname{atan}{\left(\frac{\sqrt{6} x}{3} + \frac{1}{3} \right)} + 2 \operatorname{atan}{\left(\sqrt{6} x^{3} + 4 x^{2} + 2 \sqrt{6} x + 3 \right)}\right)}{24} - \frac{\sqrt{6} \log{\left(x^{4} - \sqrt{6} x^{3} + 3 x^{2} - \sqrt{6} x + 1 \right)}}{24} + \frac{\sqrt{6} \log{\left(x^{4} + \sqrt{6} x^{3} + 3 x^{2} + \sqrt{6} x + 1 \right)}}{24} - \frac{1}{x}"," ",0,"-sqrt(6)*(2*atan(sqrt(6)*x/3 - 1/3) + 2*atan(sqrt(6)*x**3 - 4*x**2 + 2*sqrt(6)*x - 3))/24 - sqrt(6)*(2*atan(sqrt(6)*x/3 + 1/3) + 2*atan(sqrt(6)*x**3 + 4*x**2 + 2*sqrt(6)*x + 3))/24 - sqrt(6)*log(x**4 - sqrt(6)*x**3 + 3*x**2 - sqrt(6)*x + 1)/24 + sqrt(6)*log(x**4 + sqrt(6)*x**3 + 3*x**2 + sqrt(6)*x + 1)/24 - 1/x","A",0
59,1,76,0,0.232250," ","integrate((-x**4+1)/x**3/(x**8-x**4+1),x)","- \frac{\sqrt{3} \log{\left(x^{4} - \sqrt{3} x^{2} + 1 \right)}}{24} + \frac{\sqrt{3} \log{\left(x^{4} + \sqrt{3} x^{2} + 1 \right)}}{24} - \frac{\operatorname{atan}{\left(2 x^{2} - \sqrt{3} \right)}}{4} - \frac{\operatorname{atan}{\left(2 x^{2} + \sqrt{3} \right)}}{4} - \frac{1}{2 x^{2}}"," ",0,"-sqrt(3)*log(x**4 - sqrt(3)*x**2 + 1)/24 + sqrt(3)*log(x**4 + sqrt(3)*x**2 + 1)/24 - atan(2*x**2 - sqrt(3))/4 - atan(2*x**2 + sqrt(3))/4 - 1/(2*x**2)","A",0
60,1,32,0,3.174975," ","integrate((-x**4+1)/x**4/(x**8-x**4+1),x)","- \operatorname{RootSum} {\left(5308416 t^{8} - 2304 t^{4} + 1, \left( t \mapsto t \log{\left(- 18432 t^{5} + 4 t + x \right)} \right)\right)} - \frac{1}{3 x^{3}}"," ",0,"-RootSum(5308416*_t**8 - 2304*_t**4 + 1, Lambda(_t, _t*log(-18432*_t**5 + 4*_t + x))) - 1/(3*x**3)","A",0
61,-1,0,0,0.000000," ","integrate(x**3/(a+c/x**2+b/x)/(e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,-1,0,0,0.000000," ","integrate(x**2/(a+c/x**2+b/x)/(e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
63,-1,0,0,0.000000," ","integrate(x/(a+c/x**2+b/x)/(e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
64,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/(e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/x/(e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/x**2/(e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/x**3/(e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/x**4/(e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/x**5/(e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,-1,0,0,0.000000," ","integrate(x**3/(a+c/x**2+b/x)/(e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-1,0,0,0.000000," ","integrate(x**2/(a+c/x**2+b/x)/(e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,-1,0,0,0.000000," ","integrate(x/(a+c/x**2+b/x)/(e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/(e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/x/(e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/x**2/(e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/x**3/(e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/x**4/(e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate(1/(a+c/x**2+b/x)/x**5/(e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,-1,0,0,0.000000," ","integrate(x**4*(a+c/x**2+b/x)**(1/2)*(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate(x**3*(a+c/x**2+b/x)**(1/2)*(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,0,0,0,0.000000," ","integrate(x**2*(a+c/x**2+b/x)**(1/2)*(e*x+d)**(1/2),x)","\int x^{2} \sqrt{d + e x} \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}}\, dx"," ",0,"Integral(x**2*sqrt(d + e*x)*sqrt(a + b/x + c/x**2), x)","F",0
82,0,0,0,0.000000," ","integrate(x*(a+c/x**2+b/x)**(1/2)*(e*x+d)**(1/2),x)","\int x \sqrt{d + e x} \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}}\, dx"," ",0,"Integral(x*sqrt(d + e*x)*sqrt(a + b/x + c/x**2), x)","F",0
83,-1,0,0,0.000000," ","integrate((a+c/x**2+b/x)**(1/2)*(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,0,0,0,0.000000," ","integrate((a+c/x**2+b/x)**(1/2)*(e*x+d)**(1/2)/x,x)","\int \frac{\sqrt{d + e x} \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}}}{x}\, dx"," ",0,"Integral(sqrt(d + e*x)*sqrt(a + b/x + c/x**2)/x, x)","F",0
85,-1,0,0,0.000000," ","integrate((a+c/x**2+b/x)**(1/2)*(e*x+d)**(1/2)/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,-1,0,0,0.000000," ","integrate((f*x)**m*(d+e*x**n)**q*(a+c*x**(2*n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
87,-1,0,0,0.000000," ","integrate((f*x)**m*(d+e*x**n)**3*(a+c*x**(2*n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
88,-1,0,0,0.000000," ","integrate((f*x)**m*(d+e*x**n)**2*(a+c*x**(2*n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
89,-1,0,0,0.000000," ","integrate((f*x)**m*(d+e*x**n)*(a+c*x**(2*n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
90,-1,0,0,0.000000," ","integrate((f*x)**m*(a+c*x**(2*n))**p/(d+e*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,-1,0,0,0.000000," ","integrate((f*x)**m*(a+c*x**(2*n))**p/(d+e*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
92,-1,0,0,0.000000," ","integrate((f*x)**m*(a+c*x**(2*n))**p/(d+e*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
93,1,1326,0,0.350254," ","integrate((2*c*x+b)*(c*x**2+b*x+a)**13,x)","a^{13} b x + b c^{13} x^{27} + \frac{c^{14} x^{28}}{14} + x^{26} \left(a c^{13} + \frac{13 b^{2} c^{12}}{2}\right) + x^{25} \left(13 a b c^{12} + 26 b^{3} c^{11}\right) + x^{24} \left(\frac{13 a^{2} c^{12}}{2} + 78 a b^{2} c^{11} + \frac{143 b^{4} c^{10}}{2}\right) + x^{23} \left(78 a^{2} b c^{11} + 286 a b^{3} c^{10} + 143 b^{5} c^{9}\right) + x^{22} \left(26 a^{3} c^{11} + 429 a^{2} b^{2} c^{10} + 715 a b^{4} c^{9} + \frac{429 b^{6} c^{8}}{2}\right) + x^{21} \left(286 a^{3} b c^{10} + 1430 a^{2} b^{3} c^{9} + 1287 a b^{5} c^{8} + \frac{1716 b^{7} c^{7}}{7}\right) + x^{20} \left(\frac{143 a^{4} c^{10}}{2} + 1430 a^{3} b^{2} c^{9} + \frac{6435 a^{2} b^{4} c^{8}}{2} + 1716 a b^{6} c^{7} + \frac{429 b^{8} c^{6}}{2}\right) + x^{19} \left(715 a^{4} b c^{9} + 4290 a^{3} b^{3} c^{8} + 5148 a^{2} b^{5} c^{7} + 1716 a b^{7} c^{6} + 143 b^{9} c^{5}\right) + x^{18} \left(143 a^{5} c^{9} + \frac{6435 a^{4} b^{2} c^{8}}{2} + 8580 a^{3} b^{4} c^{7} + 6006 a^{2} b^{6} c^{6} + 1287 a b^{8} c^{5} + \frac{143 b^{10} c^{4}}{2}\right) + x^{17} \left(1287 a^{5} b c^{8} + 8580 a^{4} b^{3} c^{7} + 12012 a^{3} b^{5} c^{6} + 5148 a^{2} b^{7} c^{5} + 715 a b^{9} c^{4} + 26 b^{11} c^{3}\right) + x^{16} \left(\frac{429 a^{6} c^{8}}{2} + 5148 a^{5} b^{2} c^{7} + 15015 a^{4} b^{4} c^{6} + 12012 a^{3} b^{6} c^{5} + \frac{6435 a^{2} b^{8} c^{4}}{2} + 286 a b^{10} c^{3} + \frac{13 b^{12} c^{2}}{2}\right) + x^{15} \left(1716 a^{6} b c^{7} + 12012 a^{5} b^{3} c^{6} + 18018 a^{4} b^{5} c^{5} + 8580 a^{3} b^{7} c^{4} + 1430 a^{2} b^{9} c^{3} + 78 a b^{11} c^{2} + b^{13} c\right) + x^{14} \left(\frac{1716 a^{7} c^{7}}{7} + 6006 a^{6} b^{2} c^{6} + 18018 a^{5} b^{4} c^{5} + 15015 a^{4} b^{6} c^{4} + 4290 a^{3} b^{8} c^{3} + 429 a^{2} b^{10} c^{2} + 13 a b^{12} c + \frac{b^{14}}{14}\right) + x^{13} \left(1716 a^{7} b c^{6} + 12012 a^{6} b^{3} c^{5} + 18018 a^{5} b^{5} c^{4} + 8580 a^{4} b^{7} c^{3} + 1430 a^{3} b^{9} c^{2} + 78 a^{2} b^{11} c + a b^{13}\right) + x^{12} \left(\frac{429 a^{8} c^{6}}{2} + 5148 a^{7} b^{2} c^{5} + 15015 a^{6} b^{4} c^{4} + 12012 a^{5} b^{6} c^{3} + \frac{6435 a^{4} b^{8} c^{2}}{2} + 286 a^{3} b^{10} c + \frac{13 a^{2} b^{12}}{2}\right) + x^{11} \left(1287 a^{8} b c^{5} + 8580 a^{7} b^{3} c^{4} + 12012 a^{6} b^{5} c^{3} + 5148 a^{5} b^{7} c^{2} + 715 a^{4} b^{9} c + 26 a^{3} b^{11}\right) + x^{10} \left(143 a^{9} c^{5} + \frac{6435 a^{8} b^{2} c^{4}}{2} + 8580 a^{7} b^{4} c^{3} + 6006 a^{6} b^{6} c^{2} + 1287 a^{5} b^{8} c + \frac{143 a^{4} b^{10}}{2}\right) + x^{9} \left(715 a^{9} b c^{4} + 4290 a^{8} b^{3} c^{3} + 5148 a^{7} b^{5} c^{2} + 1716 a^{6} b^{7} c + 143 a^{5} b^{9}\right) + x^{8} \left(\frac{143 a^{10} c^{4}}{2} + 1430 a^{9} b^{2} c^{3} + \frac{6435 a^{8} b^{4} c^{2}}{2} + 1716 a^{7} b^{6} c + \frac{429 a^{6} b^{8}}{2}\right) + x^{7} \left(286 a^{10} b c^{3} + 1430 a^{9} b^{3} c^{2} + 1287 a^{8} b^{5} c + \frac{1716 a^{7} b^{7}}{7}\right) + x^{6} \left(26 a^{11} c^{3} + 429 a^{10} b^{2} c^{2} + 715 a^{9} b^{4} c + \frac{429 a^{8} b^{6}}{2}\right) + x^{5} \left(78 a^{11} b c^{2} + 286 a^{10} b^{3} c + 143 a^{9} b^{5}\right) + x^{4} \left(\frac{13 a^{12} c^{2}}{2} + 78 a^{11} b^{2} c + \frac{143 a^{10} b^{4}}{2}\right) + x^{3} \left(13 a^{12} b c + 26 a^{11} b^{3}\right) + x^{2} \left(a^{13} c + \frac{13 a^{12} b^{2}}{2}\right)"," ",0,"a**13*b*x + b*c**13*x**27 + c**14*x**28/14 + x**26*(a*c**13 + 13*b**2*c**12/2) + x**25*(13*a*b*c**12 + 26*b**3*c**11) + x**24*(13*a**2*c**12/2 + 78*a*b**2*c**11 + 143*b**4*c**10/2) + x**23*(78*a**2*b*c**11 + 286*a*b**3*c**10 + 143*b**5*c**9) + x**22*(26*a**3*c**11 + 429*a**2*b**2*c**10 + 715*a*b**4*c**9 + 429*b**6*c**8/2) + x**21*(286*a**3*b*c**10 + 1430*a**2*b**3*c**9 + 1287*a*b**5*c**8 + 1716*b**7*c**7/7) + x**20*(143*a**4*c**10/2 + 1430*a**3*b**2*c**9 + 6435*a**2*b**4*c**8/2 + 1716*a*b**6*c**7 + 429*b**8*c**6/2) + x**19*(715*a**4*b*c**9 + 4290*a**3*b**3*c**8 + 5148*a**2*b**5*c**7 + 1716*a*b**7*c**6 + 143*b**9*c**5) + x**18*(143*a**5*c**9 + 6435*a**4*b**2*c**8/2 + 8580*a**3*b**4*c**7 + 6006*a**2*b**6*c**6 + 1287*a*b**8*c**5 + 143*b**10*c**4/2) + x**17*(1287*a**5*b*c**8 + 8580*a**4*b**3*c**7 + 12012*a**3*b**5*c**6 + 5148*a**2*b**7*c**5 + 715*a*b**9*c**4 + 26*b**11*c**3) + x**16*(429*a**6*c**8/2 + 5148*a**5*b**2*c**7 + 15015*a**4*b**4*c**6 + 12012*a**3*b**6*c**5 + 6435*a**2*b**8*c**4/2 + 286*a*b**10*c**3 + 13*b**12*c**2/2) + x**15*(1716*a**6*b*c**7 + 12012*a**5*b**3*c**6 + 18018*a**4*b**5*c**5 + 8580*a**3*b**7*c**4 + 1430*a**2*b**9*c**3 + 78*a*b**11*c**2 + b**13*c) + x**14*(1716*a**7*c**7/7 + 6006*a**6*b**2*c**6 + 18018*a**5*b**4*c**5 + 15015*a**4*b**6*c**4 + 4290*a**3*b**8*c**3 + 429*a**2*b**10*c**2 + 13*a*b**12*c + b**14/14) + x**13*(1716*a**7*b*c**6 + 12012*a**6*b**3*c**5 + 18018*a**5*b**5*c**4 + 8580*a**4*b**7*c**3 + 1430*a**3*b**9*c**2 + 78*a**2*b**11*c + a*b**13) + x**12*(429*a**8*c**6/2 + 5148*a**7*b**2*c**5 + 15015*a**6*b**4*c**4 + 12012*a**5*b**6*c**3 + 6435*a**4*b**8*c**2/2 + 286*a**3*b**10*c + 13*a**2*b**12/2) + x**11*(1287*a**8*b*c**5 + 8580*a**7*b**3*c**4 + 12012*a**6*b**5*c**3 + 5148*a**5*b**7*c**2 + 715*a**4*b**9*c + 26*a**3*b**11) + x**10*(143*a**9*c**5 + 6435*a**8*b**2*c**4/2 + 8580*a**7*b**4*c**3 + 6006*a**6*b**6*c**2 + 1287*a**5*b**8*c + 143*a**4*b**10/2) + x**9*(715*a**9*b*c**4 + 4290*a**8*b**3*c**3 + 5148*a**7*b**5*c**2 + 1716*a**6*b**7*c + 143*a**5*b**9) + x**8*(143*a**10*c**4/2 + 1430*a**9*b**2*c**3 + 6435*a**8*b**4*c**2/2 + 1716*a**7*b**6*c + 429*a**6*b**8/2) + x**7*(286*a**10*b*c**3 + 1430*a**9*b**3*c**2 + 1287*a**8*b**5*c + 1716*a**7*b**7/7) + x**6*(26*a**11*c**3 + 429*a**10*b**2*c**2 + 715*a**9*b**4*c + 429*a**8*b**6/2) + x**5*(78*a**11*b*c**2 + 286*a**10*b**3*c + 143*a**9*b**5) + x**4*(13*a**12*c**2/2 + 78*a**11*b**2*c + 143*a**10*b**4/2) + x**3*(13*a**12*b*c + 26*a**11*b**3) + x**2*(a**13*c + 13*a**12*b**2/2)","B",0
94,1,1384,0,0.337729," ","integrate(x*(2*c*x**2+b)*(c*x**4+b*x**2+a)**13,x)","\frac{a^{13} b x^{2}}{2} + \frac{b c^{13} x^{54}}{2} + \frac{c^{14} x^{56}}{28} + x^{52} \left(\frac{a c^{13}}{2} + \frac{13 b^{2} c^{12}}{4}\right) + x^{50} \left(\frac{13 a b c^{12}}{2} + 13 b^{3} c^{11}\right) + x^{48} \left(\frac{13 a^{2} c^{12}}{4} + 39 a b^{2} c^{11} + \frac{143 b^{4} c^{10}}{4}\right) + x^{46} \left(39 a^{2} b c^{11} + 143 a b^{3} c^{10} + \frac{143 b^{5} c^{9}}{2}\right) + x^{44} \left(13 a^{3} c^{11} + \frac{429 a^{2} b^{2} c^{10}}{2} + \frac{715 a b^{4} c^{9}}{2} + \frac{429 b^{6} c^{8}}{4}\right) + x^{42} \left(143 a^{3} b c^{10} + 715 a^{2} b^{3} c^{9} + \frac{1287 a b^{5} c^{8}}{2} + \frac{858 b^{7} c^{7}}{7}\right) + x^{40} \left(\frac{143 a^{4} c^{10}}{4} + 715 a^{3} b^{2} c^{9} + \frac{6435 a^{2} b^{4} c^{8}}{4} + 858 a b^{6} c^{7} + \frac{429 b^{8} c^{6}}{4}\right) + x^{38} \left(\frac{715 a^{4} b c^{9}}{2} + 2145 a^{3} b^{3} c^{8} + 2574 a^{2} b^{5} c^{7} + 858 a b^{7} c^{6} + \frac{143 b^{9} c^{5}}{2}\right) + x^{36} \left(\frac{143 a^{5} c^{9}}{2} + \frac{6435 a^{4} b^{2} c^{8}}{4} + 4290 a^{3} b^{4} c^{7} + 3003 a^{2} b^{6} c^{6} + \frac{1287 a b^{8} c^{5}}{2} + \frac{143 b^{10} c^{4}}{4}\right) + x^{34} \left(\frac{1287 a^{5} b c^{8}}{2} + 4290 a^{4} b^{3} c^{7} + 6006 a^{3} b^{5} c^{6} + 2574 a^{2} b^{7} c^{5} + \frac{715 a b^{9} c^{4}}{2} + 13 b^{11} c^{3}\right) + x^{32} \left(\frac{429 a^{6} c^{8}}{4} + 2574 a^{5} b^{2} c^{7} + \frac{15015 a^{4} b^{4} c^{6}}{2} + 6006 a^{3} b^{6} c^{5} + \frac{6435 a^{2} b^{8} c^{4}}{4} + 143 a b^{10} c^{3} + \frac{13 b^{12} c^{2}}{4}\right) + x^{30} \left(858 a^{6} b c^{7} + 6006 a^{5} b^{3} c^{6} + 9009 a^{4} b^{5} c^{5} + 4290 a^{3} b^{7} c^{4} + 715 a^{2} b^{9} c^{3} + 39 a b^{11} c^{2} + \frac{b^{13} c}{2}\right) + x^{28} \left(\frac{858 a^{7} c^{7}}{7} + 3003 a^{6} b^{2} c^{6} + 9009 a^{5} b^{4} c^{5} + \frac{15015 a^{4} b^{6} c^{4}}{2} + 2145 a^{3} b^{8} c^{3} + \frac{429 a^{2} b^{10} c^{2}}{2} + \frac{13 a b^{12} c}{2} + \frac{b^{14}}{28}\right) + x^{26} \left(858 a^{7} b c^{6} + 6006 a^{6} b^{3} c^{5} + 9009 a^{5} b^{5} c^{4} + 4290 a^{4} b^{7} c^{3} + 715 a^{3} b^{9} c^{2} + 39 a^{2} b^{11} c + \frac{a b^{13}}{2}\right) + x^{24} \left(\frac{429 a^{8} c^{6}}{4} + 2574 a^{7} b^{2} c^{5} + \frac{15015 a^{6} b^{4} c^{4}}{2} + 6006 a^{5} b^{6} c^{3} + \frac{6435 a^{4} b^{8} c^{2}}{4} + 143 a^{3} b^{10} c + \frac{13 a^{2} b^{12}}{4}\right) + x^{22} \left(\frac{1287 a^{8} b c^{5}}{2} + 4290 a^{7} b^{3} c^{4} + 6006 a^{6} b^{5} c^{3} + 2574 a^{5} b^{7} c^{2} + \frac{715 a^{4} b^{9} c}{2} + 13 a^{3} b^{11}\right) + x^{20} \left(\frac{143 a^{9} c^{5}}{2} + \frac{6435 a^{8} b^{2} c^{4}}{4} + 4290 a^{7} b^{4} c^{3} + 3003 a^{6} b^{6} c^{2} + \frac{1287 a^{5} b^{8} c}{2} + \frac{143 a^{4} b^{10}}{4}\right) + x^{18} \left(\frac{715 a^{9} b c^{4}}{2} + 2145 a^{8} b^{3} c^{3} + 2574 a^{7} b^{5} c^{2} + 858 a^{6} b^{7} c + \frac{143 a^{5} b^{9}}{2}\right) + x^{16} \left(\frac{143 a^{10} c^{4}}{4} + 715 a^{9} b^{2} c^{3} + \frac{6435 a^{8} b^{4} c^{2}}{4} + 858 a^{7} b^{6} c + \frac{429 a^{6} b^{8}}{4}\right) + x^{14} \left(143 a^{10} b c^{3} + 715 a^{9} b^{3} c^{2} + \frac{1287 a^{8} b^{5} c}{2} + \frac{858 a^{7} b^{7}}{7}\right) + x^{12} \left(13 a^{11} c^{3} + \frac{429 a^{10} b^{2} c^{2}}{2} + \frac{715 a^{9} b^{4} c}{2} + \frac{429 a^{8} b^{6}}{4}\right) + x^{10} \left(39 a^{11} b c^{2} + 143 a^{10} b^{3} c + \frac{143 a^{9} b^{5}}{2}\right) + x^{8} \left(\frac{13 a^{12} c^{2}}{4} + 39 a^{11} b^{2} c + \frac{143 a^{10} b^{4}}{4}\right) + x^{6} \left(\frac{13 a^{12} b c}{2} + 13 a^{11} b^{3}\right) + x^{4} \left(\frac{a^{13} c}{2} + \frac{13 a^{12} b^{2}}{4}\right)"," ",0,"a**13*b*x**2/2 + b*c**13*x**54/2 + c**14*x**56/28 + x**52*(a*c**13/2 + 13*b**2*c**12/4) + x**50*(13*a*b*c**12/2 + 13*b**3*c**11) + x**48*(13*a**2*c**12/4 + 39*a*b**2*c**11 + 143*b**4*c**10/4) + x**46*(39*a**2*b*c**11 + 143*a*b**3*c**10 + 143*b**5*c**9/2) + x**44*(13*a**3*c**11 + 429*a**2*b**2*c**10/2 + 715*a*b**4*c**9/2 + 429*b**6*c**8/4) + x**42*(143*a**3*b*c**10 + 715*a**2*b**3*c**9 + 1287*a*b**5*c**8/2 + 858*b**7*c**7/7) + x**40*(143*a**4*c**10/4 + 715*a**3*b**2*c**9 + 6435*a**2*b**4*c**8/4 + 858*a*b**6*c**7 + 429*b**8*c**6/4) + x**38*(715*a**4*b*c**9/2 + 2145*a**3*b**3*c**8 + 2574*a**2*b**5*c**7 + 858*a*b**7*c**6 + 143*b**9*c**5/2) + x**36*(143*a**5*c**9/2 + 6435*a**4*b**2*c**8/4 + 4290*a**3*b**4*c**7 + 3003*a**2*b**6*c**6 + 1287*a*b**8*c**5/2 + 143*b**10*c**4/4) + x**34*(1287*a**5*b*c**8/2 + 4290*a**4*b**3*c**7 + 6006*a**3*b**5*c**6 + 2574*a**2*b**7*c**5 + 715*a*b**9*c**4/2 + 13*b**11*c**3) + x**32*(429*a**6*c**8/4 + 2574*a**5*b**2*c**7 + 15015*a**4*b**4*c**6/2 + 6006*a**3*b**6*c**5 + 6435*a**2*b**8*c**4/4 + 143*a*b**10*c**3 + 13*b**12*c**2/4) + x**30*(858*a**6*b*c**7 + 6006*a**5*b**3*c**6 + 9009*a**4*b**5*c**5 + 4290*a**3*b**7*c**4 + 715*a**2*b**9*c**3 + 39*a*b**11*c**2 + b**13*c/2) + x**28*(858*a**7*c**7/7 + 3003*a**6*b**2*c**6 + 9009*a**5*b**4*c**5 + 15015*a**4*b**6*c**4/2 + 2145*a**3*b**8*c**3 + 429*a**2*b**10*c**2/2 + 13*a*b**12*c/2 + b**14/28) + x**26*(858*a**7*b*c**6 + 6006*a**6*b**3*c**5 + 9009*a**5*b**5*c**4 + 4290*a**4*b**7*c**3 + 715*a**3*b**9*c**2 + 39*a**2*b**11*c + a*b**13/2) + x**24*(429*a**8*c**6/4 + 2574*a**7*b**2*c**5 + 15015*a**6*b**4*c**4/2 + 6006*a**5*b**6*c**3 + 6435*a**4*b**8*c**2/4 + 143*a**3*b**10*c + 13*a**2*b**12/4) + x**22*(1287*a**8*b*c**5/2 + 4290*a**7*b**3*c**4 + 6006*a**6*b**5*c**3 + 2574*a**5*b**7*c**2 + 715*a**4*b**9*c/2 + 13*a**3*b**11) + x**20*(143*a**9*c**5/2 + 6435*a**8*b**2*c**4/4 + 4290*a**7*b**4*c**3 + 3003*a**6*b**6*c**2 + 1287*a**5*b**8*c/2 + 143*a**4*b**10/4) + x**18*(715*a**9*b*c**4/2 + 2145*a**8*b**3*c**3 + 2574*a**7*b**5*c**2 + 858*a**6*b**7*c + 143*a**5*b**9/2) + x**16*(143*a**10*c**4/4 + 715*a**9*b**2*c**3 + 6435*a**8*b**4*c**2/4 + 858*a**7*b**6*c + 429*a**6*b**8/4) + x**14*(143*a**10*b*c**3 + 715*a**9*b**3*c**2 + 1287*a**8*b**5*c/2 + 858*a**7*b**7/7) + x**12*(13*a**11*c**3 + 429*a**10*b**2*c**2/2 + 715*a**9*b**4*c/2 + 429*a**8*b**6/4) + x**10*(39*a**11*b*c**2 + 143*a**10*b**3*c + 143*a**9*b**5/2) + x**8*(13*a**12*c**2/4 + 39*a**11*b**2*c + 143*a**10*b**4/4) + x**6*(13*a**12*b*c/2 + 13*a**11*b**3) + x**4*(a**13*c/2 + 13*a**12*b**2/4)","B",0
95,1,1394,0,0.341751," ","integrate(x**2*(2*c*x**3+b)*(c*x**6+b*x**3+a)**13,x)","\frac{a^{13} b x^{3}}{3} + \frac{b c^{13} x^{81}}{3} + \frac{c^{14} x^{84}}{42} + x^{78} \left(\frac{a c^{13}}{3} + \frac{13 b^{2} c^{12}}{6}\right) + x^{75} \left(\frac{13 a b c^{12}}{3} + \frac{26 b^{3} c^{11}}{3}\right) + x^{72} \left(\frac{13 a^{2} c^{12}}{6} + 26 a b^{2} c^{11} + \frac{143 b^{4} c^{10}}{6}\right) + x^{69} \left(26 a^{2} b c^{11} + \frac{286 a b^{3} c^{10}}{3} + \frac{143 b^{5} c^{9}}{3}\right) + x^{66} \left(\frac{26 a^{3} c^{11}}{3} + 143 a^{2} b^{2} c^{10} + \frac{715 a b^{4} c^{9}}{3} + \frac{143 b^{6} c^{8}}{2}\right) + x^{63} \left(\frac{286 a^{3} b c^{10}}{3} + \frac{1430 a^{2} b^{3} c^{9}}{3} + 429 a b^{5} c^{8} + \frac{572 b^{7} c^{7}}{7}\right) + x^{60} \left(\frac{143 a^{4} c^{10}}{6} + \frac{1430 a^{3} b^{2} c^{9}}{3} + \frac{2145 a^{2} b^{4} c^{8}}{2} + 572 a b^{6} c^{7} + \frac{143 b^{8} c^{6}}{2}\right) + x^{57} \left(\frac{715 a^{4} b c^{9}}{3} + 1430 a^{3} b^{3} c^{8} + 1716 a^{2} b^{5} c^{7} + 572 a b^{7} c^{6} + \frac{143 b^{9} c^{5}}{3}\right) + x^{54} \left(\frac{143 a^{5} c^{9}}{3} + \frac{2145 a^{4} b^{2} c^{8}}{2} + 2860 a^{3} b^{4} c^{7} + 2002 a^{2} b^{6} c^{6} + 429 a b^{8} c^{5} + \frac{143 b^{10} c^{4}}{6}\right) + x^{51} \left(429 a^{5} b c^{8} + 2860 a^{4} b^{3} c^{7} + 4004 a^{3} b^{5} c^{6} + 1716 a^{2} b^{7} c^{5} + \frac{715 a b^{9} c^{4}}{3} + \frac{26 b^{11} c^{3}}{3}\right) + x^{48} \left(\frac{143 a^{6} c^{8}}{2} + 1716 a^{5} b^{2} c^{7} + 5005 a^{4} b^{4} c^{6} + 4004 a^{3} b^{6} c^{5} + \frac{2145 a^{2} b^{8} c^{4}}{2} + \frac{286 a b^{10} c^{3}}{3} + \frac{13 b^{12} c^{2}}{6}\right) + x^{45} \left(572 a^{6} b c^{7} + 4004 a^{5} b^{3} c^{6} + 6006 a^{4} b^{5} c^{5} + 2860 a^{3} b^{7} c^{4} + \frac{1430 a^{2} b^{9} c^{3}}{3} + 26 a b^{11} c^{2} + \frac{b^{13} c}{3}\right) + x^{42} \left(\frac{572 a^{7} c^{7}}{7} + 2002 a^{6} b^{2} c^{6} + 6006 a^{5} b^{4} c^{5} + 5005 a^{4} b^{6} c^{4} + 1430 a^{3} b^{8} c^{3} + 143 a^{2} b^{10} c^{2} + \frac{13 a b^{12} c}{3} + \frac{b^{14}}{42}\right) + x^{39} \left(572 a^{7} b c^{6} + 4004 a^{6} b^{3} c^{5} + 6006 a^{5} b^{5} c^{4} + 2860 a^{4} b^{7} c^{3} + \frac{1430 a^{3} b^{9} c^{2}}{3} + 26 a^{2} b^{11} c + \frac{a b^{13}}{3}\right) + x^{36} \left(\frac{143 a^{8} c^{6}}{2} + 1716 a^{7} b^{2} c^{5} + 5005 a^{6} b^{4} c^{4} + 4004 a^{5} b^{6} c^{3} + \frac{2145 a^{4} b^{8} c^{2}}{2} + \frac{286 a^{3} b^{10} c}{3} + \frac{13 a^{2} b^{12}}{6}\right) + x^{33} \left(429 a^{8} b c^{5} + 2860 a^{7} b^{3} c^{4} + 4004 a^{6} b^{5} c^{3} + 1716 a^{5} b^{7} c^{2} + \frac{715 a^{4} b^{9} c}{3} + \frac{26 a^{3} b^{11}}{3}\right) + x^{30} \left(\frac{143 a^{9} c^{5}}{3} + \frac{2145 a^{8} b^{2} c^{4}}{2} + 2860 a^{7} b^{4} c^{3} + 2002 a^{6} b^{6} c^{2} + 429 a^{5} b^{8} c + \frac{143 a^{4} b^{10}}{6}\right) + x^{27} \left(\frac{715 a^{9} b c^{4}}{3} + 1430 a^{8} b^{3} c^{3} + 1716 a^{7} b^{5} c^{2} + 572 a^{6} b^{7} c + \frac{143 a^{5} b^{9}}{3}\right) + x^{24} \left(\frac{143 a^{10} c^{4}}{6} + \frac{1430 a^{9} b^{2} c^{3}}{3} + \frac{2145 a^{8} b^{4} c^{2}}{2} + 572 a^{7} b^{6} c + \frac{143 a^{6} b^{8}}{2}\right) + x^{21} \left(\frac{286 a^{10} b c^{3}}{3} + \frac{1430 a^{9} b^{3} c^{2}}{3} + 429 a^{8} b^{5} c + \frac{572 a^{7} b^{7}}{7}\right) + x^{18} \left(\frac{26 a^{11} c^{3}}{3} + 143 a^{10} b^{2} c^{2} + \frac{715 a^{9} b^{4} c}{3} + \frac{143 a^{8} b^{6}}{2}\right) + x^{15} \left(26 a^{11} b c^{2} + \frac{286 a^{10} b^{3} c}{3} + \frac{143 a^{9} b^{5}}{3}\right) + x^{12} \left(\frac{13 a^{12} c^{2}}{6} + 26 a^{11} b^{2} c + \frac{143 a^{10} b^{4}}{6}\right) + x^{9} \left(\frac{13 a^{12} b c}{3} + \frac{26 a^{11} b^{3}}{3}\right) + x^{6} \left(\frac{a^{13} c}{3} + \frac{13 a^{12} b^{2}}{6}\right)"," ",0,"a**13*b*x**3/3 + b*c**13*x**81/3 + c**14*x**84/42 + x**78*(a*c**13/3 + 13*b**2*c**12/6) + x**75*(13*a*b*c**12/3 + 26*b**3*c**11/3) + x**72*(13*a**2*c**12/6 + 26*a*b**2*c**11 + 143*b**4*c**10/6) + x**69*(26*a**2*b*c**11 + 286*a*b**3*c**10/3 + 143*b**5*c**9/3) + x**66*(26*a**3*c**11/3 + 143*a**2*b**2*c**10 + 715*a*b**4*c**9/3 + 143*b**6*c**8/2) + x**63*(286*a**3*b*c**10/3 + 1430*a**2*b**3*c**9/3 + 429*a*b**5*c**8 + 572*b**7*c**7/7) + x**60*(143*a**4*c**10/6 + 1430*a**3*b**2*c**9/3 + 2145*a**2*b**4*c**8/2 + 572*a*b**6*c**7 + 143*b**8*c**6/2) + x**57*(715*a**4*b*c**9/3 + 1430*a**3*b**3*c**8 + 1716*a**2*b**5*c**7 + 572*a*b**7*c**6 + 143*b**9*c**5/3) + x**54*(143*a**5*c**9/3 + 2145*a**4*b**2*c**8/2 + 2860*a**3*b**4*c**7 + 2002*a**2*b**6*c**6 + 429*a*b**8*c**5 + 143*b**10*c**4/6) + x**51*(429*a**5*b*c**8 + 2860*a**4*b**3*c**7 + 4004*a**3*b**5*c**6 + 1716*a**2*b**7*c**5 + 715*a*b**9*c**4/3 + 26*b**11*c**3/3) + x**48*(143*a**6*c**8/2 + 1716*a**5*b**2*c**7 + 5005*a**4*b**4*c**6 + 4004*a**3*b**6*c**5 + 2145*a**2*b**8*c**4/2 + 286*a*b**10*c**3/3 + 13*b**12*c**2/6) + x**45*(572*a**6*b*c**7 + 4004*a**5*b**3*c**6 + 6006*a**4*b**5*c**5 + 2860*a**3*b**7*c**4 + 1430*a**2*b**9*c**3/3 + 26*a*b**11*c**2 + b**13*c/3) + x**42*(572*a**7*c**7/7 + 2002*a**6*b**2*c**6 + 6006*a**5*b**4*c**5 + 5005*a**4*b**6*c**4 + 1430*a**3*b**8*c**3 + 143*a**2*b**10*c**2 + 13*a*b**12*c/3 + b**14/42) + x**39*(572*a**7*b*c**6 + 4004*a**6*b**3*c**5 + 6006*a**5*b**5*c**4 + 2860*a**4*b**7*c**3 + 1430*a**3*b**9*c**2/3 + 26*a**2*b**11*c + a*b**13/3) + x**36*(143*a**8*c**6/2 + 1716*a**7*b**2*c**5 + 5005*a**6*b**4*c**4 + 4004*a**5*b**6*c**3 + 2145*a**4*b**8*c**2/2 + 286*a**3*b**10*c/3 + 13*a**2*b**12/6) + x**33*(429*a**8*b*c**5 + 2860*a**7*b**3*c**4 + 4004*a**6*b**5*c**3 + 1716*a**5*b**7*c**2 + 715*a**4*b**9*c/3 + 26*a**3*b**11/3) + x**30*(143*a**9*c**5/3 + 2145*a**8*b**2*c**4/2 + 2860*a**7*b**4*c**3 + 2002*a**6*b**6*c**2 + 429*a**5*b**8*c + 143*a**4*b**10/6) + x**27*(715*a**9*b*c**4/3 + 1430*a**8*b**3*c**3 + 1716*a**7*b**5*c**2 + 572*a**6*b**7*c + 143*a**5*b**9/3) + x**24*(143*a**10*c**4/6 + 1430*a**9*b**2*c**3/3 + 2145*a**8*b**4*c**2/2 + 572*a**7*b**6*c + 143*a**6*b**8/2) + x**21*(286*a**10*b*c**3/3 + 1430*a**9*b**3*c**2/3 + 429*a**8*b**5*c + 572*a**7*b**7/7) + x**18*(26*a**11*c**3/3 + 143*a**10*b**2*c**2 + 715*a**9*b**4*c/3 + 143*a**8*b**6/2) + x**15*(26*a**11*b*c**2 + 286*a**10*b**3*c/3 + 143*a**9*b**5/3) + x**12*(13*a**12*c**2/6 + 26*a**11*b**2*c + 143*a**10*b**4/6) + x**9*(13*a**12*b*c/3 + 26*a**11*b**3/3) + x**6*(a**13*c/3 + 13*a**12*b**2/6)","B",0
96,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)*(a+b*x**n+c*x**(2*n))**13,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
97,1,1326,0,0.359831," ","integrate((2*c*x+b)*(c*x**2+b*x-a)**13,x)","- a^{13} b x + b c^{13} x^{27} + \frac{c^{14} x^{28}}{14} + x^{26} \left(- a c^{13} + \frac{13 b^{2} c^{12}}{2}\right) + x^{25} \left(- 13 a b c^{12} + 26 b^{3} c^{11}\right) + x^{24} \left(\frac{13 a^{2} c^{12}}{2} - 78 a b^{2} c^{11} + \frac{143 b^{4} c^{10}}{2}\right) + x^{23} \left(78 a^{2} b c^{11} - 286 a b^{3} c^{10} + 143 b^{5} c^{9}\right) + x^{22} \left(- 26 a^{3} c^{11} + 429 a^{2} b^{2} c^{10} - 715 a b^{4} c^{9} + \frac{429 b^{6} c^{8}}{2}\right) + x^{21} \left(- 286 a^{3} b c^{10} + 1430 a^{2} b^{3} c^{9} - 1287 a b^{5} c^{8} + \frac{1716 b^{7} c^{7}}{7}\right) + x^{20} \left(\frac{143 a^{4} c^{10}}{2} - 1430 a^{3} b^{2} c^{9} + \frac{6435 a^{2} b^{4} c^{8}}{2} - 1716 a b^{6} c^{7} + \frac{429 b^{8} c^{6}}{2}\right) + x^{19} \left(715 a^{4} b c^{9} - 4290 a^{3} b^{3} c^{8} + 5148 a^{2} b^{5} c^{7} - 1716 a b^{7} c^{6} + 143 b^{9} c^{5}\right) + x^{18} \left(- 143 a^{5} c^{9} + \frac{6435 a^{4} b^{2} c^{8}}{2} - 8580 a^{3} b^{4} c^{7} + 6006 a^{2} b^{6} c^{6} - 1287 a b^{8} c^{5} + \frac{143 b^{10} c^{4}}{2}\right) + x^{17} \left(- 1287 a^{5} b c^{8} + 8580 a^{4} b^{3} c^{7} - 12012 a^{3} b^{5} c^{6} + 5148 a^{2} b^{7} c^{5} - 715 a b^{9} c^{4} + 26 b^{11} c^{3}\right) + x^{16} \left(\frac{429 a^{6} c^{8}}{2} - 5148 a^{5} b^{2} c^{7} + 15015 a^{4} b^{4} c^{6} - 12012 a^{3} b^{6} c^{5} + \frac{6435 a^{2} b^{8} c^{4}}{2} - 286 a b^{10} c^{3} + \frac{13 b^{12} c^{2}}{2}\right) + x^{15} \left(1716 a^{6} b c^{7} - 12012 a^{5} b^{3} c^{6} + 18018 a^{4} b^{5} c^{5} - 8580 a^{3} b^{7} c^{4} + 1430 a^{2} b^{9} c^{3} - 78 a b^{11} c^{2} + b^{13} c\right) + x^{14} \left(- \frac{1716 a^{7} c^{7}}{7} + 6006 a^{6} b^{2} c^{6} - 18018 a^{5} b^{4} c^{5} + 15015 a^{4} b^{6} c^{4} - 4290 a^{3} b^{8} c^{3} + 429 a^{2} b^{10} c^{2} - 13 a b^{12} c + \frac{b^{14}}{14}\right) + x^{13} \left(- 1716 a^{7} b c^{6} + 12012 a^{6} b^{3} c^{5} - 18018 a^{5} b^{5} c^{4} + 8580 a^{4} b^{7} c^{3} - 1430 a^{3} b^{9} c^{2} + 78 a^{2} b^{11} c - a b^{13}\right) + x^{12} \left(\frac{429 a^{8} c^{6}}{2} - 5148 a^{7} b^{2} c^{5} + 15015 a^{6} b^{4} c^{4} - 12012 a^{5} b^{6} c^{3} + \frac{6435 a^{4} b^{8} c^{2}}{2} - 286 a^{3} b^{10} c + \frac{13 a^{2} b^{12}}{2}\right) + x^{11} \left(1287 a^{8} b c^{5} - 8580 a^{7} b^{3} c^{4} + 12012 a^{6} b^{5} c^{3} - 5148 a^{5} b^{7} c^{2} + 715 a^{4} b^{9} c - 26 a^{3} b^{11}\right) + x^{10} \left(- 143 a^{9} c^{5} + \frac{6435 a^{8} b^{2} c^{4}}{2} - 8580 a^{7} b^{4} c^{3} + 6006 a^{6} b^{6} c^{2} - 1287 a^{5} b^{8} c + \frac{143 a^{4} b^{10}}{2}\right) + x^{9} \left(- 715 a^{9} b c^{4} + 4290 a^{8} b^{3} c^{3} - 5148 a^{7} b^{5} c^{2} + 1716 a^{6} b^{7} c - 143 a^{5} b^{9}\right) + x^{8} \left(\frac{143 a^{10} c^{4}}{2} - 1430 a^{9} b^{2} c^{3} + \frac{6435 a^{8} b^{4} c^{2}}{2} - 1716 a^{7} b^{6} c + \frac{429 a^{6} b^{8}}{2}\right) + x^{7} \left(286 a^{10} b c^{3} - 1430 a^{9} b^{3} c^{2} + 1287 a^{8} b^{5} c - \frac{1716 a^{7} b^{7}}{7}\right) + x^{6} \left(- 26 a^{11} c^{3} + 429 a^{10} b^{2} c^{2} - 715 a^{9} b^{4} c + \frac{429 a^{8} b^{6}}{2}\right) + x^{5} \left(- 78 a^{11} b c^{2} + 286 a^{10} b^{3} c - 143 a^{9} b^{5}\right) + x^{4} \left(\frac{13 a^{12} c^{2}}{2} - 78 a^{11} b^{2} c + \frac{143 a^{10} b^{4}}{2}\right) + x^{3} \left(13 a^{12} b c - 26 a^{11} b^{3}\right) + x^{2} \left(- a^{13} c + \frac{13 a^{12} b^{2}}{2}\right)"," ",0,"-a**13*b*x + b*c**13*x**27 + c**14*x**28/14 + x**26*(-a*c**13 + 13*b**2*c**12/2) + x**25*(-13*a*b*c**12 + 26*b**3*c**11) + x**24*(13*a**2*c**12/2 - 78*a*b**2*c**11 + 143*b**4*c**10/2) + x**23*(78*a**2*b*c**11 - 286*a*b**3*c**10 + 143*b**5*c**9) + x**22*(-26*a**3*c**11 + 429*a**2*b**2*c**10 - 715*a*b**4*c**9 + 429*b**6*c**8/2) + x**21*(-286*a**3*b*c**10 + 1430*a**2*b**3*c**9 - 1287*a*b**5*c**8 + 1716*b**7*c**7/7) + x**20*(143*a**4*c**10/2 - 1430*a**3*b**2*c**9 + 6435*a**2*b**4*c**8/2 - 1716*a*b**6*c**7 + 429*b**8*c**6/2) + x**19*(715*a**4*b*c**9 - 4290*a**3*b**3*c**8 + 5148*a**2*b**5*c**7 - 1716*a*b**7*c**6 + 143*b**9*c**5) + x**18*(-143*a**5*c**9 + 6435*a**4*b**2*c**8/2 - 8580*a**3*b**4*c**7 + 6006*a**2*b**6*c**6 - 1287*a*b**8*c**5 + 143*b**10*c**4/2) + x**17*(-1287*a**5*b*c**8 + 8580*a**4*b**3*c**7 - 12012*a**3*b**5*c**6 + 5148*a**2*b**7*c**5 - 715*a*b**9*c**4 + 26*b**11*c**3) + x**16*(429*a**6*c**8/2 - 5148*a**5*b**2*c**7 + 15015*a**4*b**4*c**6 - 12012*a**3*b**6*c**5 + 6435*a**2*b**8*c**4/2 - 286*a*b**10*c**3 + 13*b**12*c**2/2) + x**15*(1716*a**6*b*c**7 - 12012*a**5*b**3*c**6 + 18018*a**4*b**5*c**5 - 8580*a**3*b**7*c**4 + 1430*a**2*b**9*c**3 - 78*a*b**11*c**2 + b**13*c) + x**14*(-1716*a**7*c**7/7 + 6006*a**6*b**2*c**6 - 18018*a**5*b**4*c**5 + 15015*a**4*b**6*c**4 - 4290*a**3*b**8*c**3 + 429*a**2*b**10*c**2 - 13*a*b**12*c + b**14/14) + x**13*(-1716*a**7*b*c**6 + 12012*a**6*b**3*c**5 - 18018*a**5*b**5*c**4 + 8580*a**4*b**7*c**3 - 1430*a**3*b**9*c**2 + 78*a**2*b**11*c - a*b**13) + x**12*(429*a**8*c**6/2 - 5148*a**7*b**2*c**5 + 15015*a**6*b**4*c**4 - 12012*a**5*b**6*c**3 + 6435*a**4*b**8*c**2/2 - 286*a**3*b**10*c + 13*a**2*b**12/2) + x**11*(1287*a**8*b*c**5 - 8580*a**7*b**3*c**4 + 12012*a**6*b**5*c**3 - 5148*a**5*b**7*c**2 + 715*a**4*b**9*c - 26*a**3*b**11) + x**10*(-143*a**9*c**5 + 6435*a**8*b**2*c**4/2 - 8580*a**7*b**4*c**3 + 6006*a**6*b**6*c**2 - 1287*a**5*b**8*c + 143*a**4*b**10/2) + x**9*(-715*a**9*b*c**4 + 4290*a**8*b**3*c**3 - 5148*a**7*b**5*c**2 + 1716*a**6*b**7*c - 143*a**5*b**9) + x**8*(143*a**10*c**4/2 - 1430*a**9*b**2*c**3 + 6435*a**8*b**4*c**2/2 - 1716*a**7*b**6*c + 429*a**6*b**8/2) + x**7*(286*a**10*b*c**3 - 1430*a**9*b**3*c**2 + 1287*a**8*b**5*c - 1716*a**7*b**7/7) + x**6*(-26*a**11*c**3 + 429*a**10*b**2*c**2 - 715*a**9*b**4*c + 429*a**8*b**6/2) + x**5*(-78*a**11*b*c**2 + 286*a**10*b**3*c - 143*a**9*b**5) + x**4*(13*a**12*c**2/2 - 78*a**11*b**2*c + 143*a**10*b**4/2) + x**3*(13*a**12*b*c - 26*a**11*b**3) + x**2*(-a**13*c + 13*a**12*b**2/2)","B",0
98,1,1384,0,0.358727," ","integrate(x*(2*c*x**2+b)*(c*x**4+b*x**2-a)**13,x)","- \frac{a^{13} b x^{2}}{2} + \frac{b c^{13} x^{54}}{2} + \frac{c^{14} x^{56}}{28} + x^{52} \left(- \frac{a c^{13}}{2} + \frac{13 b^{2} c^{12}}{4}\right) + x^{50} \left(- \frac{13 a b c^{12}}{2} + 13 b^{3} c^{11}\right) + x^{48} \left(\frac{13 a^{2} c^{12}}{4} - 39 a b^{2} c^{11} + \frac{143 b^{4} c^{10}}{4}\right) + x^{46} \left(39 a^{2} b c^{11} - 143 a b^{3} c^{10} + \frac{143 b^{5} c^{9}}{2}\right) + x^{44} \left(- 13 a^{3} c^{11} + \frac{429 a^{2} b^{2} c^{10}}{2} - \frac{715 a b^{4} c^{9}}{2} + \frac{429 b^{6} c^{8}}{4}\right) + x^{42} \left(- 143 a^{3} b c^{10} + 715 a^{2} b^{3} c^{9} - \frac{1287 a b^{5} c^{8}}{2} + \frac{858 b^{7} c^{7}}{7}\right) + x^{40} \left(\frac{143 a^{4} c^{10}}{4} - 715 a^{3} b^{2} c^{9} + \frac{6435 a^{2} b^{4} c^{8}}{4} - 858 a b^{6} c^{7} + \frac{429 b^{8} c^{6}}{4}\right) + x^{38} \left(\frac{715 a^{4} b c^{9}}{2} - 2145 a^{3} b^{3} c^{8} + 2574 a^{2} b^{5} c^{7} - 858 a b^{7} c^{6} + \frac{143 b^{9} c^{5}}{2}\right) + x^{36} \left(- \frac{143 a^{5} c^{9}}{2} + \frac{6435 a^{4} b^{2} c^{8}}{4} - 4290 a^{3} b^{4} c^{7} + 3003 a^{2} b^{6} c^{6} - \frac{1287 a b^{8} c^{5}}{2} + \frac{143 b^{10} c^{4}}{4}\right) + x^{34} \left(- \frac{1287 a^{5} b c^{8}}{2} + 4290 a^{4} b^{3} c^{7} - 6006 a^{3} b^{5} c^{6} + 2574 a^{2} b^{7} c^{5} - \frac{715 a b^{9} c^{4}}{2} + 13 b^{11} c^{3}\right) + x^{32} \left(\frac{429 a^{6} c^{8}}{4} - 2574 a^{5} b^{2} c^{7} + \frac{15015 a^{4} b^{4} c^{6}}{2} - 6006 a^{3} b^{6} c^{5} + \frac{6435 a^{2} b^{8} c^{4}}{4} - 143 a b^{10} c^{3} + \frac{13 b^{12} c^{2}}{4}\right) + x^{30} \left(858 a^{6} b c^{7} - 6006 a^{5} b^{3} c^{6} + 9009 a^{4} b^{5} c^{5} - 4290 a^{3} b^{7} c^{4} + 715 a^{2} b^{9} c^{3} - 39 a b^{11} c^{2} + \frac{b^{13} c}{2}\right) + x^{28} \left(- \frac{858 a^{7} c^{7}}{7} + 3003 a^{6} b^{2} c^{6} - 9009 a^{5} b^{4} c^{5} + \frac{15015 a^{4} b^{6} c^{4}}{2} - 2145 a^{3} b^{8} c^{3} + \frac{429 a^{2} b^{10} c^{2}}{2} - \frac{13 a b^{12} c}{2} + \frac{b^{14}}{28}\right) + x^{26} \left(- 858 a^{7} b c^{6} + 6006 a^{6} b^{3} c^{5} - 9009 a^{5} b^{5} c^{4} + 4290 a^{4} b^{7} c^{3} - 715 a^{3} b^{9} c^{2} + 39 a^{2} b^{11} c - \frac{a b^{13}}{2}\right) + x^{24} \left(\frac{429 a^{8} c^{6}}{4} - 2574 a^{7} b^{2} c^{5} + \frac{15015 a^{6} b^{4} c^{4}}{2} - 6006 a^{5} b^{6} c^{3} + \frac{6435 a^{4} b^{8} c^{2}}{4} - 143 a^{3} b^{10} c + \frac{13 a^{2} b^{12}}{4}\right) + x^{22} \left(\frac{1287 a^{8} b c^{5}}{2} - 4290 a^{7} b^{3} c^{4} + 6006 a^{6} b^{5} c^{3} - 2574 a^{5} b^{7} c^{2} + \frac{715 a^{4} b^{9} c}{2} - 13 a^{3} b^{11}\right) + x^{20} \left(- \frac{143 a^{9} c^{5}}{2} + \frac{6435 a^{8} b^{2} c^{4}}{4} - 4290 a^{7} b^{4} c^{3} + 3003 a^{6} b^{6} c^{2} - \frac{1287 a^{5} b^{8} c}{2} + \frac{143 a^{4} b^{10}}{4}\right) + x^{18} \left(- \frac{715 a^{9} b c^{4}}{2} + 2145 a^{8} b^{3} c^{3} - 2574 a^{7} b^{5} c^{2} + 858 a^{6} b^{7} c - \frac{143 a^{5} b^{9}}{2}\right) + x^{16} \left(\frac{143 a^{10} c^{4}}{4} - 715 a^{9} b^{2} c^{3} + \frac{6435 a^{8} b^{4} c^{2}}{4} - 858 a^{7} b^{6} c + \frac{429 a^{6} b^{8}}{4}\right) + x^{14} \left(143 a^{10} b c^{3} - 715 a^{9} b^{3} c^{2} + \frac{1287 a^{8} b^{5} c}{2} - \frac{858 a^{7} b^{7}}{7}\right) + x^{12} \left(- 13 a^{11} c^{3} + \frac{429 a^{10} b^{2} c^{2}}{2} - \frac{715 a^{9} b^{4} c}{2} + \frac{429 a^{8} b^{6}}{4}\right) + x^{10} \left(- 39 a^{11} b c^{2} + 143 a^{10} b^{3} c - \frac{143 a^{9} b^{5}}{2}\right) + x^{8} \left(\frac{13 a^{12} c^{2}}{4} - 39 a^{11} b^{2} c + \frac{143 a^{10} b^{4}}{4}\right) + x^{6} \left(\frac{13 a^{12} b c}{2} - 13 a^{11} b^{3}\right) + x^{4} \left(- \frac{a^{13} c}{2} + \frac{13 a^{12} b^{2}}{4}\right)"," ",0,"-a**13*b*x**2/2 + b*c**13*x**54/2 + c**14*x**56/28 + x**52*(-a*c**13/2 + 13*b**2*c**12/4) + x**50*(-13*a*b*c**12/2 + 13*b**3*c**11) + x**48*(13*a**2*c**12/4 - 39*a*b**2*c**11 + 143*b**4*c**10/4) + x**46*(39*a**2*b*c**11 - 143*a*b**3*c**10 + 143*b**5*c**9/2) + x**44*(-13*a**3*c**11 + 429*a**2*b**2*c**10/2 - 715*a*b**4*c**9/2 + 429*b**6*c**8/4) + x**42*(-143*a**3*b*c**10 + 715*a**2*b**3*c**9 - 1287*a*b**5*c**8/2 + 858*b**7*c**7/7) + x**40*(143*a**4*c**10/4 - 715*a**3*b**2*c**9 + 6435*a**2*b**4*c**8/4 - 858*a*b**6*c**7 + 429*b**8*c**6/4) + x**38*(715*a**4*b*c**9/2 - 2145*a**3*b**3*c**8 + 2574*a**2*b**5*c**7 - 858*a*b**7*c**6 + 143*b**9*c**5/2) + x**36*(-143*a**5*c**9/2 + 6435*a**4*b**2*c**8/4 - 4290*a**3*b**4*c**7 + 3003*a**2*b**6*c**6 - 1287*a*b**8*c**5/2 + 143*b**10*c**4/4) + x**34*(-1287*a**5*b*c**8/2 + 4290*a**4*b**3*c**7 - 6006*a**3*b**5*c**6 + 2574*a**2*b**7*c**5 - 715*a*b**9*c**4/2 + 13*b**11*c**3) + x**32*(429*a**6*c**8/4 - 2574*a**5*b**2*c**7 + 15015*a**4*b**4*c**6/2 - 6006*a**3*b**6*c**5 + 6435*a**2*b**8*c**4/4 - 143*a*b**10*c**3 + 13*b**12*c**2/4) + x**30*(858*a**6*b*c**7 - 6006*a**5*b**3*c**6 + 9009*a**4*b**5*c**5 - 4290*a**3*b**7*c**4 + 715*a**2*b**9*c**3 - 39*a*b**11*c**2 + b**13*c/2) + x**28*(-858*a**7*c**7/7 + 3003*a**6*b**2*c**6 - 9009*a**5*b**4*c**5 + 15015*a**4*b**6*c**4/2 - 2145*a**3*b**8*c**3 + 429*a**2*b**10*c**2/2 - 13*a*b**12*c/2 + b**14/28) + x**26*(-858*a**7*b*c**6 + 6006*a**6*b**3*c**5 - 9009*a**5*b**5*c**4 + 4290*a**4*b**7*c**3 - 715*a**3*b**9*c**2 + 39*a**2*b**11*c - a*b**13/2) + x**24*(429*a**8*c**6/4 - 2574*a**7*b**2*c**5 + 15015*a**6*b**4*c**4/2 - 6006*a**5*b**6*c**3 + 6435*a**4*b**8*c**2/4 - 143*a**3*b**10*c + 13*a**2*b**12/4) + x**22*(1287*a**8*b*c**5/2 - 4290*a**7*b**3*c**4 + 6006*a**6*b**5*c**3 - 2574*a**5*b**7*c**2 + 715*a**4*b**9*c/2 - 13*a**3*b**11) + x**20*(-143*a**9*c**5/2 + 6435*a**8*b**2*c**4/4 - 4290*a**7*b**4*c**3 + 3003*a**6*b**6*c**2 - 1287*a**5*b**8*c/2 + 143*a**4*b**10/4) + x**18*(-715*a**9*b*c**4/2 + 2145*a**8*b**3*c**3 - 2574*a**7*b**5*c**2 + 858*a**6*b**7*c - 143*a**5*b**9/2) + x**16*(143*a**10*c**4/4 - 715*a**9*b**2*c**3 + 6435*a**8*b**4*c**2/4 - 858*a**7*b**6*c + 429*a**6*b**8/4) + x**14*(143*a**10*b*c**3 - 715*a**9*b**3*c**2 + 1287*a**8*b**5*c/2 - 858*a**7*b**7/7) + x**12*(-13*a**11*c**3 + 429*a**10*b**2*c**2/2 - 715*a**9*b**4*c/2 + 429*a**8*b**6/4) + x**10*(-39*a**11*b*c**2 + 143*a**10*b**3*c - 143*a**9*b**5/2) + x**8*(13*a**12*c**2/4 - 39*a**11*b**2*c + 143*a**10*b**4/4) + x**6*(13*a**12*b*c/2 - 13*a**11*b**3) + x**4*(-a**13*c/2 + 13*a**12*b**2/4)","B",0
99,1,1394,0,0.359555," ","integrate(x**2*(2*c*x**3+b)*(c*x**6+b*x**3-a)**13,x)","- \frac{a^{13} b x^{3}}{3} + \frac{b c^{13} x^{81}}{3} + \frac{c^{14} x^{84}}{42} + x^{78} \left(- \frac{a c^{13}}{3} + \frac{13 b^{2} c^{12}}{6}\right) + x^{75} \left(- \frac{13 a b c^{12}}{3} + \frac{26 b^{3} c^{11}}{3}\right) + x^{72} \left(\frac{13 a^{2} c^{12}}{6} - 26 a b^{2} c^{11} + \frac{143 b^{4} c^{10}}{6}\right) + x^{69} \left(26 a^{2} b c^{11} - \frac{286 a b^{3} c^{10}}{3} + \frac{143 b^{5} c^{9}}{3}\right) + x^{66} \left(- \frac{26 a^{3} c^{11}}{3} + 143 a^{2} b^{2} c^{10} - \frac{715 a b^{4} c^{9}}{3} + \frac{143 b^{6} c^{8}}{2}\right) + x^{63} \left(- \frac{286 a^{3} b c^{10}}{3} + \frac{1430 a^{2} b^{3} c^{9}}{3} - 429 a b^{5} c^{8} + \frac{572 b^{7} c^{7}}{7}\right) + x^{60} \left(\frac{143 a^{4} c^{10}}{6} - \frac{1430 a^{3} b^{2} c^{9}}{3} + \frac{2145 a^{2} b^{4} c^{8}}{2} - 572 a b^{6} c^{7} + \frac{143 b^{8} c^{6}}{2}\right) + x^{57} \left(\frac{715 a^{4} b c^{9}}{3} - 1430 a^{3} b^{3} c^{8} + 1716 a^{2} b^{5} c^{7} - 572 a b^{7} c^{6} + \frac{143 b^{9} c^{5}}{3}\right) + x^{54} \left(- \frac{143 a^{5} c^{9}}{3} + \frac{2145 a^{4} b^{2} c^{8}}{2} - 2860 a^{3} b^{4} c^{7} + 2002 a^{2} b^{6} c^{6} - 429 a b^{8} c^{5} + \frac{143 b^{10} c^{4}}{6}\right) + x^{51} \left(- 429 a^{5} b c^{8} + 2860 a^{4} b^{3} c^{7} - 4004 a^{3} b^{5} c^{6} + 1716 a^{2} b^{7} c^{5} - \frac{715 a b^{9} c^{4}}{3} + \frac{26 b^{11} c^{3}}{3}\right) + x^{48} \left(\frac{143 a^{6} c^{8}}{2} - 1716 a^{5} b^{2} c^{7} + 5005 a^{4} b^{4} c^{6} - 4004 a^{3} b^{6} c^{5} + \frac{2145 a^{2} b^{8} c^{4}}{2} - \frac{286 a b^{10} c^{3}}{3} + \frac{13 b^{12} c^{2}}{6}\right) + x^{45} \left(572 a^{6} b c^{7} - 4004 a^{5} b^{3} c^{6} + 6006 a^{4} b^{5} c^{5} - 2860 a^{3} b^{7} c^{4} + \frac{1430 a^{2} b^{9} c^{3}}{3} - 26 a b^{11} c^{2} + \frac{b^{13} c}{3}\right) + x^{42} \left(- \frac{572 a^{7} c^{7}}{7} + 2002 a^{6} b^{2} c^{6} - 6006 a^{5} b^{4} c^{5} + 5005 a^{4} b^{6} c^{4} - 1430 a^{3} b^{8} c^{3} + 143 a^{2} b^{10} c^{2} - \frac{13 a b^{12} c}{3} + \frac{b^{14}}{42}\right) + x^{39} \left(- 572 a^{7} b c^{6} + 4004 a^{6} b^{3} c^{5} - 6006 a^{5} b^{5} c^{4} + 2860 a^{4} b^{7} c^{3} - \frac{1430 a^{3} b^{9} c^{2}}{3} + 26 a^{2} b^{11} c - \frac{a b^{13}}{3}\right) + x^{36} \left(\frac{143 a^{8} c^{6}}{2} - 1716 a^{7} b^{2} c^{5} + 5005 a^{6} b^{4} c^{4} - 4004 a^{5} b^{6} c^{3} + \frac{2145 a^{4} b^{8} c^{2}}{2} - \frac{286 a^{3} b^{10} c}{3} + \frac{13 a^{2} b^{12}}{6}\right) + x^{33} \left(429 a^{8} b c^{5} - 2860 a^{7} b^{3} c^{4} + 4004 a^{6} b^{5} c^{3} - 1716 a^{5} b^{7} c^{2} + \frac{715 a^{4} b^{9} c}{3} - \frac{26 a^{3} b^{11}}{3}\right) + x^{30} \left(- \frac{143 a^{9} c^{5}}{3} + \frac{2145 a^{8} b^{2} c^{4}}{2} - 2860 a^{7} b^{4} c^{3} + 2002 a^{6} b^{6} c^{2} - 429 a^{5} b^{8} c + \frac{143 a^{4} b^{10}}{6}\right) + x^{27} \left(- \frac{715 a^{9} b c^{4}}{3} + 1430 a^{8} b^{3} c^{3} - 1716 a^{7} b^{5} c^{2} + 572 a^{6} b^{7} c - \frac{143 a^{5} b^{9}}{3}\right) + x^{24} \left(\frac{143 a^{10} c^{4}}{6} - \frac{1430 a^{9} b^{2} c^{3}}{3} + \frac{2145 a^{8} b^{4} c^{2}}{2} - 572 a^{7} b^{6} c + \frac{143 a^{6} b^{8}}{2}\right) + x^{21} \left(\frac{286 a^{10} b c^{3}}{3} - \frac{1430 a^{9} b^{3} c^{2}}{3} + 429 a^{8} b^{5} c - \frac{572 a^{7} b^{7}}{7}\right) + x^{18} \left(- \frac{26 a^{11} c^{3}}{3} + 143 a^{10} b^{2} c^{2} - \frac{715 a^{9} b^{4} c}{3} + \frac{143 a^{8} b^{6}}{2}\right) + x^{15} \left(- 26 a^{11} b c^{2} + \frac{286 a^{10} b^{3} c}{3} - \frac{143 a^{9} b^{5}}{3}\right) + x^{12} \left(\frac{13 a^{12} c^{2}}{6} - 26 a^{11} b^{2} c + \frac{143 a^{10} b^{4}}{6}\right) + x^{9} \left(\frac{13 a^{12} b c}{3} - \frac{26 a^{11} b^{3}}{3}\right) + x^{6} \left(- \frac{a^{13} c}{3} + \frac{13 a^{12} b^{2}}{6}\right)"," ",0,"-a**13*b*x**3/3 + b*c**13*x**81/3 + c**14*x**84/42 + x**78*(-a*c**13/3 + 13*b**2*c**12/6) + x**75*(-13*a*b*c**12/3 + 26*b**3*c**11/3) + x**72*(13*a**2*c**12/6 - 26*a*b**2*c**11 + 143*b**4*c**10/6) + x**69*(26*a**2*b*c**11 - 286*a*b**3*c**10/3 + 143*b**5*c**9/3) + x**66*(-26*a**3*c**11/3 + 143*a**2*b**2*c**10 - 715*a*b**4*c**9/3 + 143*b**6*c**8/2) + x**63*(-286*a**3*b*c**10/3 + 1430*a**2*b**3*c**9/3 - 429*a*b**5*c**8 + 572*b**7*c**7/7) + x**60*(143*a**4*c**10/6 - 1430*a**3*b**2*c**9/3 + 2145*a**2*b**4*c**8/2 - 572*a*b**6*c**7 + 143*b**8*c**6/2) + x**57*(715*a**4*b*c**9/3 - 1430*a**3*b**3*c**8 + 1716*a**2*b**5*c**7 - 572*a*b**7*c**6 + 143*b**9*c**5/3) + x**54*(-143*a**5*c**9/3 + 2145*a**4*b**2*c**8/2 - 2860*a**3*b**4*c**7 + 2002*a**2*b**6*c**6 - 429*a*b**8*c**5 + 143*b**10*c**4/6) + x**51*(-429*a**5*b*c**8 + 2860*a**4*b**3*c**7 - 4004*a**3*b**5*c**6 + 1716*a**2*b**7*c**5 - 715*a*b**9*c**4/3 + 26*b**11*c**3/3) + x**48*(143*a**6*c**8/2 - 1716*a**5*b**2*c**7 + 5005*a**4*b**4*c**6 - 4004*a**3*b**6*c**5 + 2145*a**2*b**8*c**4/2 - 286*a*b**10*c**3/3 + 13*b**12*c**2/6) + x**45*(572*a**6*b*c**7 - 4004*a**5*b**3*c**6 + 6006*a**4*b**5*c**5 - 2860*a**3*b**7*c**4 + 1430*a**2*b**9*c**3/3 - 26*a*b**11*c**2 + b**13*c/3) + x**42*(-572*a**7*c**7/7 + 2002*a**6*b**2*c**6 - 6006*a**5*b**4*c**5 + 5005*a**4*b**6*c**4 - 1430*a**3*b**8*c**3 + 143*a**2*b**10*c**2 - 13*a*b**12*c/3 + b**14/42) + x**39*(-572*a**7*b*c**6 + 4004*a**6*b**3*c**5 - 6006*a**5*b**5*c**4 + 2860*a**4*b**7*c**3 - 1430*a**3*b**9*c**2/3 + 26*a**2*b**11*c - a*b**13/3) + x**36*(143*a**8*c**6/2 - 1716*a**7*b**2*c**5 + 5005*a**6*b**4*c**4 - 4004*a**5*b**6*c**3 + 2145*a**4*b**8*c**2/2 - 286*a**3*b**10*c/3 + 13*a**2*b**12/6) + x**33*(429*a**8*b*c**5 - 2860*a**7*b**3*c**4 + 4004*a**6*b**5*c**3 - 1716*a**5*b**7*c**2 + 715*a**4*b**9*c/3 - 26*a**3*b**11/3) + x**30*(-143*a**9*c**5/3 + 2145*a**8*b**2*c**4/2 - 2860*a**7*b**4*c**3 + 2002*a**6*b**6*c**2 - 429*a**5*b**8*c + 143*a**4*b**10/6) + x**27*(-715*a**9*b*c**4/3 + 1430*a**8*b**3*c**3 - 1716*a**7*b**5*c**2 + 572*a**6*b**7*c - 143*a**5*b**9/3) + x**24*(143*a**10*c**4/6 - 1430*a**9*b**2*c**3/3 + 2145*a**8*b**4*c**2/2 - 572*a**7*b**6*c + 143*a**6*b**8/2) + x**21*(286*a**10*b*c**3/3 - 1430*a**9*b**3*c**2/3 + 429*a**8*b**5*c - 572*a**7*b**7/7) + x**18*(-26*a**11*c**3/3 + 143*a**10*b**2*c**2 - 715*a**9*b**4*c/3 + 143*a**8*b**6/2) + x**15*(-26*a**11*b*c**2 + 286*a**10*b**3*c/3 - 143*a**9*b**5/3) + x**12*(13*a**12*c**2/6 - 26*a**11*b**2*c + 143*a**10*b**4/6) + x**9*(13*a**12*b*c/3 - 26*a**11*b**3/3) + x**6*(-a**13*c/3 + 13*a**12*b**2/6)","B",0
100,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)*(-a+b*x**n+c*x**(2*n))**13,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,1,175,0,0.129385," ","integrate((2*c*x+b)*(c*x**2+b*x)**13,x)","\frac{b^{14} x^{14}}{14} + b^{13} c x^{15} + \frac{13 b^{12} c^{2} x^{16}}{2} + 26 b^{11} c^{3} x^{17} + \frac{143 b^{10} c^{4} x^{18}}{2} + 143 b^{9} c^{5} x^{19} + \frac{429 b^{8} c^{6} x^{20}}{2} + \frac{1716 b^{7} c^{7} x^{21}}{7} + \frac{429 b^{6} c^{8} x^{22}}{2} + 143 b^{5} c^{9} x^{23} + \frac{143 b^{4} c^{10} x^{24}}{2} + 26 b^{3} c^{11} x^{25} + \frac{13 b^{2} c^{12} x^{26}}{2} + b c^{13} x^{27} + \frac{c^{14} x^{28}}{14}"," ",0,"b**14*x**14/14 + b**13*c*x**15 + 13*b**12*c**2*x**16/2 + 26*b**11*c**3*x**17 + 143*b**10*c**4*x**18/2 + 143*b**9*c**5*x**19 + 429*b**8*c**6*x**20/2 + 1716*b**7*c**7*x**21/7 + 429*b**6*c**8*x**22/2 + 143*b**5*c**9*x**23 + 143*b**4*c**10*x**24/2 + 26*b**3*c**11*x**25 + 13*b**2*c**12*x**26/2 + b*c**13*x**27 + c**14*x**28/14","B",0
102,1,182,0,0.126744," ","integrate(x*(2*c*x**2+b)*(c*x**4+b*x**2)**13,x)","\frac{b^{14} x^{28}}{28} + \frac{b^{13} c x^{30}}{2} + \frac{13 b^{12} c^{2} x^{32}}{4} + 13 b^{11} c^{3} x^{34} + \frac{143 b^{10} c^{4} x^{36}}{4} + \frac{143 b^{9} c^{5} x^{38}}{2} + \frac{429 b^{8} c^{6} x^{40}}{4} + \frac{858 b^{7} c^{7} x^{42}}{7} + \frac{429 b^{6} c^{8} x^{44}}{4} + \frac{143 b^{5} c^{9} x^{46}}{2} + \frac{143 b^{4} c^{10} x^{48}}{4} + 13 b^{3} c^{11} x^{50} + \frac{13 b^{2} c^{12} x^{52}}{4} + \frac{b c^{13} x^{54}}{2} + \frac{c^{14} x^{56}}{28}"," ",0,"b**14*x**28/28 + b**13*c*x**30/2 + 13*b**12*c**2*x**32/4 + 13*b**11*c**3*x**34 + 143*b**10*c**4*x**36/4 + 143*b**9*c**5*x**38/2 + 429*b**8*c**6*x**40/4 + 858*b**7*c**7*x**42/7 + 429*b**6*c**8*x**44/4 + 143*b**5*c**9*x**46/2 + 143*b**4*c**10*x**48/4 + 13*b**3*c**11*x**50 + 13*b**2*c**12*x**52/4 + b*c**13*x**54/2 + c**14*x**56/28","B",0
103,1,185,0,0.127366," ","integrate(x**2*(2*c*x**3+b)*(c*x**6+b*x**3)**13,x)","\frac{b^{14} x^{42}}{42} + \frac{b^{13} c x^{45}}{3} + \frac{13 b^{12} c^{2} x^{48}}{6} + \frac{26 b^{11} c^{3} x^{51}}{3} + \frac{143 b^{10} c^{4} x^{54}}{6} + \frac{143 b^{9} c^{5} x^{57}}{3} + \frac{143 b^{8} c^{6} x^{60}}{2} + \frac{572 b^{7} c^{7} x^{63}}{7} + \frac{143 b^{6} c^{8} x^{66}}{2} + \frac{143 b^{5} c^{9} x^{69}}{3} + \frac{143 b^{4} c^{10} x^{72}}{6} + \frac{26 b^{3} c^{11} x^{75}}{3} + \frac{13 b^{2} c^{12} x^{78}}{6} + \frac{b c^{13} x^{81}}{3} + \frac{c^{14} x^{84}}{42}"," ",0,"b**14*x**42/42 + b**13*c*x**45/3 + 13*b**12*c**2*x**48/6 + 26*b**11*c**3*x**51/3 + 143*b**10*c**4*x**54/6 + 143*b**9*c**5*x**57/3 + 143*b**8*c**6*x**60/2 + 572*b**7*c**7*x**63/7 + 143*b**6*c**8*x**66/2 + 143*b**5*c**9*x**69/3 + 143*b**4*c**10*x**72/6 + 26*b**3*c**11*x**75/3 + 13*b**2*c**12*x**78/6 + b*c**13*x**81/3 + c**14*x**84/42","B",0
104,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)*(b*x**n+c*x**(2*n))**13,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,1,10,0,0.155180," ","integrate((2*c*x+b)/(c*x**2+b*x+a),x)","\log{\left(a + b x + c x^{2} \right)}"," ",0,"log(a + b*x + c*x**2)","A",0
106,1,14,0,0.279811," ","integrate(x*(2*c*x**2+b)/(c*x**4+b*x**2+a),x)","\frac{\log{\left(a + b x^{2} + c x^{4} \right)}}{2}"," ",0,"log(a + b*x**2 + c*x**4)/2","A",0
107,1,14,0,0.413294," ","integrate(x**2*(2*c*x**3+b)/(c*x**6+b*x**3+a),x)","\frac{\log{\left(a + b x^{3} + c x^{6} \right)}}{3}"," ",0,"log(a + b*x**3 + c*x**6)/3","A",0
108,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)/(a+b*x**n+c*x**(2*n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,1,359,0,4.790854," ","integrate((2*c*x+b)/(c*x**2+b*x+a)**8,x)","- \frac{1}{7 a^{7} + 49 a^{6} b x + 49 b c^{6} x^{13} + 7 c^{7} x^{14} + x^{12} \left(49 a c^{6} + 147 b^{2} c^{5}\right) + x^{11} \left(294 a b c^{5} + 245 b^{3} c^{4}\right) + x^{10} \left(147 a^{2} c^{5} + 735 a b^{2} c^{4} + 245 b^{4} c^{3}\right) + x^{9} \left(735 a^{2} b c^{4} + 980 a b^{3} c^{3} + 147 b^{5} c^{2}\right) + x^{8} \left(245 a^{3} c^{4} + 1470 a^{2} b^{2} c^{3} + 735 a b^{4} c^{2} + 49 b^{6} c\right) + x^{7} \left(980 a^{3} b c^{3} + 1470 a^{2} b^{3} c^{2} + 294 a b^{5} c + 7 b^{7}\right) + x^{6} \left(245 a^{4} c^{3} + 1470 a^{3} b^{2} c^{2} + 735 a^{2} b^{4} c + 49 a b^{6}\right) + x^{5} \left(735 a^{4} b c^{2} + 980 a^{3} b^{3} c + 147 a^{2} b^{5}\right) + x^{4} \left(147 a^{5} c^{2} + 735 a^{4} b^{2} c + 245 a^{3} b^{4}\right) + x^{3} \left(294 a^{5} b c + 245 a^{4} b^{3}\right) + x^{2} \left(49 a^{6} c + 147 a^{5} b^{2}\right)}"," ",0,"-1/(7*a**7 + 49*a**6*b*x + 49*b*c**6*x**13 + 7*c**7*x**14 + x**12*(49*a*c**6 + 147*b**2*c**5) + x**11*(294*a*b*c**5 + 245*b**3*c**4) + x**10*(147*a**2*c**5 + 735*a*b**2*c**4 + 245*b**4*c**3) + x**9*(735*a**2*b*c**4 + 980*a*b**3*c**3 + 147*b**5*c**2) + x**8*(245*a**3*c**4 + 1470*a**2*b**2*c**3 + 735*a*b**4*c**2 + 49*b**6*c) + x**7*(980*a**3*b*c**3 + 1470*a**2*b**3*c**2 + 294*a*b**5*c + 7*b**7) + x**6*(245*a**4*c**3 + 1470*a**3*b**2*c**2 + 735*a**2*b**4*c + 49*a*b**6) + x**5*(735*a**4*b*c**2 + 980*a**3*b**3*c + 147*a**2*b**5) + x**4*(147*a**5*c**2 + 735*a**4*b**2*c + 245*a**3*b**4) + x**3*(294*a**5*b*c + 245*a**4*b**3) + x**2*(49*a**6*c + 147*a**5*b**2))","B",0
110,1,360,0,7.661596," ","integrate(x*(2*c*x**2+b)/(c*x**4+b*x**2+a)**8,x)","- \frac{1}{14 a^{7} + 98 a^{6} b x^{2} + 98 b c^{6} x^{26} + 14 c^{7} x^{28} + x^{24} \left(98 a c^{6} + 294 b^{2} c^{5}\right) + x^{22} \left(588 a b c^{5} + 490 b^{3} c^{4}\right) + x^{20} \left(294 a^{2} c^{5} + 1470 a b^{2} c^{4} + 490 b^{4} c^{3}\right) + x^{18} \left(1470 a^{2} b c^{4} + 1960 a b^{3} c^{3} + 294 b^{5} c^{2}\right) + x^{16} \left(490 a^{3} c^{4} + 2940 a^{2} b^{2} c^{3} + 1470 a b^{4} c^{2} + 98 b^{6} c\right) + x^{14} \left(1960 a^{3} b c^{3} + 2940 a^{2} b^{3} c^{2} + 588 a b^{5} c + 14 b^{7}\right) + x^{12} \left(490 a^{4} c^{3} + 2940 a^{3} b^{2} c^{2} + 1470 a^{2} b^{4} c + 98 a b^{6}\right) + x^{10} \left(1470 a^{4} b c^{2} + 1960 a^{3} b^{3} c + 294 a^{2} b^{5}\right) + x^{8} \left(294 a^{5} c^{2} + 1470 a^{4} b^{2} c + 490 a^{3} b^{4}\right) + x^{6} \left(588 a^{5} b c + 490 a^{4} b^{3}\right) + x^{4} \left(98 a^{6} c + 294 a^{5} b^{2}\right)}"," ",0,"-1/(14*a**7 + 98*a**6*b*x**2 + 98*b*c**6*x**26 + 14*c**7*x**28 + x**24*(98*a*c**6 + 294*b**2*c**5) + x**22*(588*a*b*c**5 + 490*b**3*c**4) + x**20*(294*a**2*c**5 + 1470*a*b**2*c**4 + 490*b**4*c**3) + x**18*(1470*a**2*b*c**4 + 1960*a*b**3*c**3 + 294*b**5*c**2) + x**16*(490*a**3*c**4 + 2940*a**2*b**2*c**3 + 1470*a*b**4*c**2 + 98*b**6*c) + x**14*(1960*a**3*b*c**3 + 2940*a**2*b**3*c**2 + 588*a*b**5*c + 14*b**7) + x**12*(490*a**4*c**3 + 2940*a**3*b**2*c**2 + 1470*a**2*b**4*c + 98*a*b**6) + x**10*(1470*a**4*b*c**2 + 1960*a**3*b**3*c + 294*a**2*b**5) + x**8*(294*a**5*c**2 + 1470*a**4*b**2*c + 490*a**3*b**4) + x**6*(588*a**5*b*c + 490*a**4*b**3) + x**4*(98*a**6*c + 294*a**5*b**2))","B",0
111,1,360,0,11.756862," ","integrate(x**2*(2*c*x**3+b)/(c*x**6+b*x**3+a)**8,x)","- \frac{1}{21 a^{7} + 147 a^{6} b x^{3} + 147 b c^{6} x^{39} + 21 c^{7} x^{42} + x^{36} \left(147 a c^{6} + 441 b^{2} c^{5}\right) + x^{33} \left(882 a b c^{5} + 735 b^{3} c^{4}\right) + x^{30} \left(441 a^{2} c^{5} + 2205 a b^{2} c^{4} + 735 b^{4} c^{3}\right) + x^{27} \left(2205 a^{2} b c^{4} + 2940 a b^{3} c^{3} + 441 b^{5} c^{2}\right) + x^{24} \left(735 a^{3} c^{4} + 4410 a^{2} b^{2} c^{3} + 2205 a b^{4} c^{2} + 147 b^{6} c\right) + x^{21} \left(2940 a^{3} b c^{3} + 4410 a^{2} b^{3} c^{2} + 882 a b^{5} c + 21 b^{7}\right) + x^{18} \left(735 a^{4} c^{3} + 4410 a^{3} b^{2} c^{2} + 2205 a^{2} b^{4} c + 147 a b^{6}\right) + x^{15} \left(2205 a^{4} b c^{2} + 2940 a^{3} b^{3} c + 441 a^{2} b^{5}\right) + x^{12} \left(441 a^{5} c^{2} + 2205 a^{4} b^{2} c + 735 a^{3} b^{4}\right) + x^{9} \left(882 a^{5} b c + 735 a^{4} b^{3}\right) + x^{6} \left(147 a^{6} c + 441 a^{5} b^{2}\right)}"," ",0,"-1/(21*a**7 + 147*a**6*b*x**3 + 147*b*c**6*x**39 + 21*c**7*x**42 + x**36*(147*a*c**6 + 441*b**2*c**5) + x**33*(882*a*b*c**5 + 735*b**3*c**4) + x**30*(441*a**2*c**5 + 2205*a*b**2*c**4 + 735*b**4*c**3) + x**27*(2205*a**2*b*c**4 + 2940*a*b**3*c**3 + 441*b**5*c**2) + x**24*(735*a**3*c**4 + 4410*a**2*b**2*c**3 + 2205*a*b**4*c**2 + 147*b**6*c) + x**21*(2940*a**3*b*c**3 + 4410*a**2*b**3*c**2 + 882*a*b**5*c + 21*b**7) + x**18*(735*a**4*c**3 + 4410*a**3*b**2*c**2 + 2205*a**2*b**4*c + 147*a*b**6) + x**15*(2205*a**4*b*c**2 + 2940*a**3*b**3*c + 441*a**2*b**5) + x**12*(441*a**5*c**2 + 2205*a**4*b**2*c + 735*a**3*b**4) + x**9*(882*a**5*b*c + 735*a**4*b**3) + x**6*(147*a**6*c + 441*a**5*b**2))","B",0
112,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)/(a+b*x**n+c*x**(2*n))**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,1,10,0,0.151296," ","integrate((2*c*x+b)/(c*x**2+b*x-a),x)","\log{\left(- a + b x + c x^{2} \right)}"," ",0,"log(-a + b*x + c*x**2)","A",0
114,1,14,0,0.280949," ","integrate(x*(2*c*x**2+b)/(c*x**4+b*x**2-a),x)","\frac{\log{\left(- a + b x^{2} + c x^{4} \right)}}{2}"," ",0,"log(-a + b*x**2 + c*x**4)/2","A",0
115,1,14,0,0.391731," ","integrate(x**2*(2*c*x**3+b)/(c*x**6+b*x**3-a),x)","\frac{\log{\left(- a + b x^{3} + c x^{6} \right)}}{3}"," ",0,"log(-a + b*x**3 + c*x**6)/3","A",0
116,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)/(-a+b*x**n+c*x**(2*n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
117,1,359,0,5.059989," ","integrate((2*c*x+b)/(c*x**2+b*x-a)**8,x)","- \frac{1}{- 7 a^{7} + 49 a^{6} b x + 49 b c^{6} x^{13} + 7 c^{7} x^{14} + x^{12} \left(- 49 a c^{6} + 147 b^{2} c^{5}\right) + x^{11} \left(- 294 a b c^{5} + 245 b^{3} c^{4}\right) + x^{10} \left(147 a^{2} c^{5} - 735 a b^{2} c^{4} + 245 b^{4} c^{3}\right) + x^{9} \left(735 a^{2} b c^{4} - 980 a b^{3} c^{3} + 147 b^{5} c^{2}\right) + x^{8} \left(- 245 a^{3} c^{4} + 1470 a^{2} b^{2} c^{3} - 735 a b^{4} c^{2} + 49 b^{6} c\right) + x^{7} \left(- 980 a^{3} b c^{3} + 1470 a^{2} b^{3} c^{2} - 294 a b^{5} c + 7 b^{7}\right) + x^{6} \left(245 a^{4} c^{3} - 1470 a^{3} b^{2} c^{2} + 735 a^{2} b^{4} c - 49 a b^{6}\right) + x^{5} \left(735 a^{4} b c^{2} - 980 a^{3} b^{3} c + 147 a^{2} b^{5}\right) + x^{4} \left(- 147 a^{5} c^{2} + 735 a^{4} b^{2} c - 245 a^{3} b^{4}\right) + x^{3} \left(- 294 a^{5} b c + 245 a^{4} b^{3}\right) + x^{2} \left(49 a^{6} c - 147 a^{5} b^{2}\right)}"," ",0,"-1/(-7*a**7 + 49*a**6*b*x + 49*b*c**6*x**13 + 7*c**7*x**14 + x**12*(-49*a*c**6 + 147*b**2*c**5) + x**11*(-294*a*b*c**5 + 245*b**3*c**4) + x**10*(147*a**2*c**5 - 735*a*b**2*c**4 + 245*b**4*c**3) + x**9*(735*a**2*b*c**4 - 980*a*b**3*c**3 + 147*b**5*c**2) + x**8*(-245*a**3*c**4 + 1470*a**2*b**2*c**3 - 735*a*b**4*c**2 + 49*b**6*c) + x**7*(-980*a**3*b*c**3 + 1470*a**2*b**3*c**2 - 294*a*b**5*c + 7*b**7) + x**6*(245*a**4*c**3 - 1470*a**3*b**2*c**2 + 735*a**2*b**4*c - 49*a*b**6) + x**5*(735*a**4*b*c**2 - 980*a**3*b**3*c + 147*a**2*b**5) + x**4*(-147*a**5*c**2 + 735*a**4*b**2*c - 245*a**3*b**4) + x**3*(-294*a**5*b*c + 245*a**4*b**3) + x**2*(49*a**6*c - 147*a**5*b**2))","B",0
118,1,360,0,8.089469," ","integrate(x*(2*c*x**2+b)/(c*x**4+b*x**2-a)**8,x)","- \frac{1}{- 14 a^{7} + 98 a^{6} b x^{2} + 98 b c^{6} x^{26} + 14 c^{7} x^{28} + x^{24} \left(- 98 a c^{6} + 294 b^{2} c^{5}\right) + x^{22} \left(- 588 a b c^{5} + 490 b^{3} c^{4}\right) + x^{20} \left(294 a^{2} c^{5} - 1470 a b^{2} c^{4} + 490 b^{4} c^{3}\right) + x^{18} \left(1470 a^{2} b c^{4} - 1960 a b^{3} c^{3} + 294 b^{5} c^{2}\right) + x^{16} \left(- 490 a^{3} c^{4} + 2940 a^{2} b^{2} c^{3} - 1470 a b^{4} c^{2} + 98 b^{6} c\right) + x^{14} \left(- 1960 a^{3} b c^{3} + 2940 a^{2} b^{3} c^{2} - 588 a b^{5} c + 14 b^{7}\right) + x^{12} \left(490 a^{4} c^{3} - 2940 a^{3} b^{2} c^{2} + 1470 a^{2} b^{4} c - 98 a b^{6}\right) + x^{10} \left(1470 a^{4} b c^{2} - 1960 a^{3} b^{3} c + 294 a^{2} b^{5}\right) + x^{8} \left(- 294 a^{5} c^{2} + 1470 a^{4} b^{2} c - 490 a^{3} b^{4}\right) + x^{6} \left(- 588 a^{5} b c + 490 a^{4} b^{3}\right) + x^{4} \left(98 a^{6} c - 294 a^{5} b^{2}\right)}"," ",0,"-1/(-14*a**7 + 98*a**6*b*x**2 + 98*b*c**6*x**26 + 14*c**7*x**28 + x**24*(-98*a*c**6 + 294*b**2*c**5) + x**22*(-588*a*b*c**5 + 490*b**3*c**4) + x**20*(294*a**2*c**5 - 1470*a*b**2*c**4 + 490*b**4*c**3) + x**18*(1470*a**2*b*c**4 - 1960*a*b**3*c**3 + 294*b**5*c**2) + x**16*(-490*a**3*c**4 + 2940*a**2*b**2*c**3 - 1470*a*b**4*c**2 + 98*b**6*c) + x**14*(-1960*a**3*b*c**3 + 2940*a**2*b**3*c**2 - 588*a*b**5*c + 14*b**7) + x**12*(490*a**4*c**3 - 2940*a**3*b**2*c**2 + 1470*a**2*b**4*c - 98*a*b**6) + x**10*(1470*a**4*b*c**2 - 1960*a**3*b**3*c + 294*a**2*b**5) + x**8*(-294*a**5*c**2 + 1470*a**4*b**2*c - 490*a**3*b**4) + x**6*(-588*a**5*b*c + 490*a**4*b**3) + x**4*(98*a**6*c - 294*a**5*b**2))","B",0
119,1,360,0,11.792358," ","integrate(x**2*(2*c*x**3+b)/(c*x**6+b*x**3-a)**8,x)","- \frac{1}{- 21 a^{7} + 147 a^{6} b x^{3} + 147 b c^{6} x^{39} + 21 c^{7} x^{42} + x^{36} \left(- 147 a c^{6} + 441 b^{2} c^{5}\right) + x^{33} \left(- 882 a b c^{5} + 735 b^{3} c^{4}\right) + x^{30} \left(441 a^{2} c^{5} - 2205 a b^{2} c^{4} + 735 b^{4} c^{3}\right) + x^{27} \left(2205 a^{2} b c^{4} - 2940 a b^{3} c^{3} + 441 b^{5} c^{2}\right) + x^{24} \left(- 735 a^{3} c^{4} + 4410 a^{2} b^{2} c^{3} - 2205 a b^{4} c^{2} + 147 b^{6} c\right) + x^{21} \left(- 2940 a^{3} b c^{3} + 4410 a^{2} b^{3} c^{2} - 882 a b^{5} c + 21 b^{7}\right) + x^{18} \left(735 a^{4} c^{3} - 4410 a^{3} b^{2} c^{2} + 2205 a^{2} b^{4} c - 147 a b^{6}\right) + x^{15} \left(2205 a^{4} b c^{2} - 2940 a^{3} b^{3} c + 441 a^{2} b^{5}\right) + x^{12} \left(- 441 a^{5} c^{2} + 2205 a^{4} b^{2} c - 735 a^{3} b^{4}\right) + x^{9} \left(- 882 a^{5} b c + 735 a^{4} b^{3}\right) + x^{6} \left(147 a^{6} c - 441 a^{5} b^{2}\right)}"," ",0,"-1/(-21*a**7 + 147*a**6*b*x**3 + 147*b*c**6*x**39 + 21*c**7*x**42 + x**36*(-147*a*c**6 + 441*b**2*c**5) + x**33*(-882*a*b*c**5 + 735*b**3*c**4) + x**30*(441*a**2*c**5 - 2205*a*b**2*c**4 + 735*b**4*c**3) + x**27*(2205*a**2*b*c**4 - 2940*a*b**3*c**3 + 441*b**5*c**2) + x**24*(-735*a**3*c**4 + 4410*a**2*b**2*c**3 - 2205*a*b**4*c**2 + 147*b**6*c) + x**21*(-2940*a**3*b*c**3 + 4410*a**2*b**3*c**2 - 882*a*b**5*c + 21*b**7) + x**18*(735*a**4*c**3 - 4410*a**3*b**2*c**2 + 2205*a**2*b**4*c - 147*a*b**6) + x**15*(2205*a**4*b*c**2 - 2940*a**3*b**3*c + 441*a**2*b**5) + x**12*(-441*a**5*c**2 + 2205*a**4*b**2*c - 735*a**3*b**4) + x**9*(-882*a**5*b*c + 735*a**4*b**3) + x**6*(147*a**6*c - 441*a**5*b**2))","B",0
120,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)/(-a+b*x**n+c*x**(2*n))**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,1,8,0,0.121699," ","integrate((2*c*x+b)/(c*x**2+b*x),x)","\log{\left(b x + c x^{2} \right)}"," ",0,"log(b*x + c*x**2)","A",0
122,1,12,0,0.190645," ","integrate(x*(2*c*x**2+b)/(c*x**4+b*x**2),x)","\log{\left(x \right)} + \frac{\log{\left(\frac{b}{c} + x^{2} \right)}}{2}"," ",0,"log(x) + log(b/c + x**2)/2","A",0
123,1,12,0,0.201658," ","integrate(x**2*(2*c*x**3+b)/(c*x**6+b*x**3),x)","\log{\left(x \right)} + \frac{\log{\left(\frac{b}{c} + x^{3} \right)}}{3}"," ",0,"log(x) + log(b/c + x**3)/3","A",0
124,1,48,0,31.233693," ","integrate(x**(-1+n)*(b+2*c*x**n)/(b*x**n+c*x**(2*n)),x)","\begin{cases} \log{\left(x \right)} & \text{for}\: c = 0 \wedge n = 0 \\\frac{\left(b + 2 c\right) \log{\left(x \right)}}{b + c} & \text{for}\: n = 0 \\\frac{n^{2} \log{\left(x \right)}}{n^{2} - n} - \frac{n \log{\left(x \right)}}{n^{2} - n} & \text{for}\: c = 0 \\\log{\left(x \right)} + \frac{\log{\left(\frac{b}{c} + x^{n} \right)}}{n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x), Eq(c, 0) & Eq(n, 0)), ((b + 2*c)*log(x)/(b + c), Eq(n, 0)), (n**2*log(x)/(n**2 - n) - n*log(x)/(n**2 - n), Eq(c, 0)), (log(x) + log(b/c + x**n)/n, True))","A",0
125,1,87,0,0.879234," ","integrate((2*c*x+b)/(c*x**2+b*x)**8,x)","- \frac{1}{7 b^{7} x^{7} + 49 b^{6} c x^{8} + 147 b^{5} c^{2} x^{9} + 245 b^{4} c^{3} x^{10} + 245 b^{3} c^{4} x^{11} + 147 b^{2} c^{5} x^{12} + 49 b c^{6} x^{13} + 7 c^{7} x^{14}}"," ",0,"-1/(7*b**7*x**7 + 49*b**6*c*x**8 + 147*b**5*c**2*x**9 + 245*b**4*c**3*x**10 + 245*b**3*c**4*x**11 + 147*b**2*c**5*x**12 + 49*b*c**6*x**13 + 7*c**7*x**14)","B",0
126,1,87,0,1.384325," ","integrate(x*(2*c*x**2+b)/(c*x**4+b*x**2)**8,x)","- \frac{1}{14 b^{7} x^{14} + 98 b^{6} c x^{16} + 294 b^{5} c^{2} x^{18} + 490 b^{4} c^{3} x^{20} + 490 b^{3} c^{4} x^{22} + 294 b^{2} c^{5} x^{24} + 98 b c^{6} x^{26} + 14 c^{7} x^{28}}"," ",0,"-1/(14*b**7*x**14 + 98*b**6*c*x**16 + 294*b**5*c**2*x**18 + 490*b**4*c**3*x**20 + 490*b**3*c**4*x**22 + 294*b**2*c**5*x**24 + 98*b*c**6*x**26 + 14*c**7*x**28)","B",0
127,1,87,0,1.897051," ","integrate(x**2*(2*c*x**3+b)/(c*x**6+b*x**3)**8,x)","- \frac{1}{21 b^{7} x^{21} + 147 b^{6} c x^{24} + 441 b^{5} c^{2} x^{27} + 735 b^{4} c^{3} x^{30} + 735 b^{3} c^{4} x^{33} + 441 b^{2} c^{5} x^{36} + 147 b c^{6} x^{39} + 21 c^{7} x^{42}}"," ",0,"-1/(21*b**7*x**21 + 147*b**6*c*x**24 + 441*b**5*c**2*x**27 + 735*b**4*c**3*x**30 + 735*b**3*c**4*x**33 + 441*b**2*c**5*x**36 + 147*b*c**6*x**39 + 21*c**7*x**42)","B",0
128,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)/(b*x**n+c*x**(2*n))**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,1,104,0,57.113940," ","integrate((2*c*x+b)*(c*x**2+b*x+a)**p,x)","\begin{cases} \frac{a \left(a + b x + c x^{2}\right)^{p}}{p + 1} + \frac{b x \left(a + b x + c x^{2}\right)^{p}}{p + 1} + \frac{c x^{2} \left(a + b x + c x^{2}\right)^{p}}{p + 1} & \text{for}\: p \neq -1 \\\log{\left(\frac{b}{2 c} + x - \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)} + \log{\left(\frac{b}{2 c} + x + \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*(a + b*x + c*x**2)**p/(p + 1) + b*x*(a + b*x + c*x**2)**p/(p + 1) + c*x**2*(a + b*x + c*x**2)**p/(p + 1), Ne(p, -1)), (log(b/(2*c) + x - sqrt(-4*a*c + b**2)/(2*c)) + log(b/(2*c) + x + sqrt(-4*a*c + b**2)/(2*c)), True))","B",0
130,-1,0,0,0.000000," ","integrate(x*(2*c*x**2+b)*(c*x**4+b*x**2+a)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate(x**2*(2*c*x**3+b)*(c*x**6+b*x**3+a)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)*(a+b*x**n+c*x**(2*n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,1,104,0,56.659850," ","integrate((2*c*x+b)*(c*x**2+b*x-a)**p,x)","\begin{cases} - \frac{a \left(- a + b x + c x^{2}\right)^{p}}{p + 1} + \frac{b x \left(- a + b x + c x^{2}\right)^{p}}{p + 1} + \frac{c x^{2} \left(- a + b x + c x^{2}\right)^{p}}{p + 1} & \text{for}\: p \neq -1 \\\log{\left(\frac{b}{2 c} + x - \frac{\sqrt{4 a c + b^{2}}}{2 c} \right)} + \log{\left(\frac{b}{2 c} + x + \frac{\sqrt{4 a c + b^{2}}}{2 c} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*(-a + b*x + c*x**2)**p/(p + 1) + b*x*(-a + b*x + c*x**2)**p/(p + 1) + c*x**2*(-a + b*x + c*x**2)**p/(p + 1), Ne(p, -1)), (log(b/(2*c) + x - sqrt(4*a*c + b**2)/(2*c)) + log(b/(2*c) + x + sqrt(4*a*c + b**2)/(2*c)), True))","B",0
134,-1,0,0,0.000000," ","integrate(x*(2*c*x**2+b)*(c*x**4+b*x**2-a)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,-1,0,0,0.000000," ","integrate(x**2*(2*c*x**3+b)*(c*x**6+b*x**3-a)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)*(-a+b*x**n+c*x**(2*n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,1,46,0,0.662160," ","integrate((2*c*x+b)*(c*x**2+b*x)**p,x)","\begin{cases} \frac{b x \left(b x + c x^{2}\right)^{p}}{p + 1} + \frac{c x^{2} \left(b x + c x^{2}\right)^{p}}{p + 1} & \text{for}\: p \neq -1 \\\log{\left(x \right)} + \log{\left(\frac{b}{c} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*x*(b*x + c*x**2)**p/(p + 1) + c*x**2*(b*x + c*x**2)**p/(p + 1), Ne(p, -1)), (log(x) + log(b/c + x), True))","A",0
138,1,85,0,17.117089," ","integrate(x*(2*c*x**2+b)*(c*x**4+b*x**2)**p,x)","\begin{cases} \frac{b x^{2} \left(b x^{2} + c x^{4}\right)^{p}}{2 p + 2} + \frac{c x^{4} \left(b x^{2} + c x^{4}\right)^{p}}{2 p + 2} & \text{for}\: p \neq -1 \\\log{\left(x \right)} + \frac{\log{\left(- i \sqrt{b} \sqrt{\frac{1}{c}} + x \right)}}{2} + \frac{\log{\left(i \sqrt{b} \sqrt{\frac{1}{c}} + x \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*x**2*(b*x**2 + c*x**4)**p/(2*p + 2) + c*x**4*(b*x**2 + c*x**4)**p/(2*p + 2), Ne(p, -1)), (log(x) + log(-I*sqrt(b)*sqrt(1/c) + x)/2 + log(I*sqrt(b)*sqrt(1/c) + x)/2, True))","B",0
139,-1,0,0,0.000000," ","integrate(x**2*(2*c*x**3+b)*(c*x**6+b*x**3)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,-1,0,0,0.000000," ","integrate(x**(-1+n)*(b+2*c*x**n)*(b*x**n+c*x**(2*n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
141,-1,0,0,0.000000," ","integrate((f*x)**m*(d+e*x**n)/(a+b*x**n+c*x**(2*n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
142,-1,0,0,0.000000," ","integrate((f*x)**m*(d+e*x**n)/(a+b*x**n+c*x**(2*n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,-1,0,0,0.000000," ","integrate((f*x)**m*(d+e*x**n)/(a+b*x**n+c*x**(2*n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
144,1,126,0,6.320915," ","integrate((c**(1/3)-2*d**(1/3)*x**(1/3))/(c*d**(1/3)*x**(2/3)-c**(2/3)*d**(2/3)*x+c**(1/3)*d*x**(4/3)),x)","- \frac{3 \log{\left(- \frac{\sqrt[3]{c}}{2 \sqrt[3]{d}} + \sqrt[3]{x} - \frac{\sqrt{3} i \sqrt{c^{\frac{4}{3}}} \sqrt{d^{\frac{4}{3}}}}{2 \sqrt[3]{c} d} \right)}}{\sqrt[3]{c} d^{\frac{2}{3}}} - \frac{3 \log{\left(- \frac{\sqrt[3]{c}}{2 \sqrt[3]{d}} + \sqrt[3]{x} + \frac{\sqrt{3} i \sqrt{c^{\frac{4}{3}}} \sqrt{d^{\frac{4}{3}}}}{2 \sqrt[3]{c} d} \right)}}{\sqrt[3]{c} d^{\frac{2}{3}}}"," ",0,"-3*log(-c**(1/3)/(2*d**(1/3)) + x**(1/3) - sqrt(3)*I*sqrt(c**(4/3))*sqrt(d**(4/3))/(2*c**(1/3)*d))/(c**(1/3)*d**(2/3)) - 3*log(-c**(1/3)/(2*d**(1/3)) + x**(1/3) + sqrt(3)*I*sqrt(c**(4/3))*sqrt(d**(4/3))/(2*c**(1/3)*d))/(c**(1/3)*d**(2/3))","C",0
145,-2,0,0,0.000000," ","integrate((f*x)**m*(d+e*x**n)**q/(a+b*x**n+c*x**(2*n)),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
146,-2,0,0,0.000000," ","integrate(x**2*(d+e*x**n)**q/(a+b*x**n+c*x**(2*n)),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
147,-2,0,0,0.000000," ","integrate(x*(d+e*x**n)**q/(a+b*x**n+c*x**(2*n)),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
148,-2,0,0,0.000000," ","integrate((d+e*x**n)**q/(a+b*x**n+c*x**(2*n)),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
149,-1,0,0,0.000000," ","integrate((d+e*x**n)**q/x/(a+b*x**n+c*x**(2*n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
150,-2,0,0,0.000000," ","integrate((d+e*x**n)**q/x**2/(a+b*x**n+c*x**(2*n)),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
151,-1,0,0,0.000000," ","integrate((d+e*x**n)**q/x**3/(a+b*x**n+c*x**(2*n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,-1,0,0,0.000000," ","integrate((f*x)**m*(d+e*x**n)**2*(a+b*x**n+c*x**(2*n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
153,-1,0,0,0.000000," ","integrate((f*x)**m*(d+e*x**n)*(a+b*x**n+c*x**(2*n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
154,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*x**n+c*x**(2*n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
155,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*x**n+c*x**(2*n))**p/(d+e*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
156,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*x**n+c*x**(2*n))**p/(d+e*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
