1,1,19,0,0.061553," ","integrate(x**2*(c*x**4+b*x**3+a*x**2),x)","\frac{a x^{5}}{5} + \frac{b x^{6}}{6} + \frac{c x^{7}}{7}"," ",0,"a*x**5/5 + b*x**6/6 + c*x**7/7","A",0
2,1,19,0,0.061773," ","integrate(x*(c*x**4+b*x**3+a*x**2),x)","\frac{a x^{4}}{4} + \frac{b x^{5}}{5} + \frac{c x^{6}}{6}"," ",0,"a*x**4/4 + b*x**5/5 + c*x**6/6","A",0
3,1,19,0,0.060891," ","integrate(c*x**4+b*x**3+a*x**2,x)","\frac{a x^{3}}{3} + \frac{b x^{4}}{4} + \frac{c x^{5}}{5}"," ",0,"a*x**3/3 + b*x**4/4 + c*x**5/5","A",0
4,1,19,0,0.064194," ","integrate((c*x**4+b*x**3+a*x**2)/x,x)","\frac{a x^{2}}{2} + \frac{b x^{3}}{3} + \frac{c x^{4}}{4}"," ",0,"a*x**2/2 + b*x**3/3 + c*x**4/4","A",0
5,1,15,0,0.060675," ","integrate((c*x**4+b*x**3+a*x**2)/x**2,x)","a x + \frac{b x^{2}}{2} + \frac{c x^{3}}{3}"," ",0,"a*x + b*x**2/2 + c*x**3/3","A",0
6,1,48,0,0.075235," ","integrate(x**2*(c*x**4+b*x**3+a*x**2)**2,x)","\frac{a^{2} x^{7}}{7} + \frac{a b x^{8}}{4} + \frac{b c x^{10}}{5} + \frac{c^{2} x^{11}}{11} + x^{9} \left(\frac{2 a c}{9} + \frac{b^{2}}{9}\right)"," ",0,"a**2*x**7/7 + a*b*x**8/4 + b*c*x**10/5 + c**2*x**11/11 + x**9*(2*a*c/9 + b**2/9)","A",0
7,1,49,0,0.074733," ","integrate(x*(c*x**4+b*x**3+a*x**2)**2,x)","\frac{a^{2} x^{6}}{6} + \frac{2 a b x^{7}}{7} + \frac{2 b c x^{9}}{9} + \frac{c^{2} x^{10}}{10} + x^{8} \left(\frac{a c}{4} + \frac{b^{2}}{8}\right)"," ",0,"a**2*x**6/6 + 2*a*b*x**7/7 + 2*b*c*x**9/9 + c**2*x**10/10 + x**8*(a*c/4 + b**2/8)","A",0
8,1,48,0,0.072159," ","integrate((c*x**4+b*x**3+a*x**2)**2,x)","\frac{a^{2} x^{5}}{5} + \frac{a b x^{6}}{3} + \frac{b c x^{8}}{4} + \frac{c^{2} x^{9}}{9} + x^{7} \left(\frac{2 a c}{7} + \frac{b^{2}}{7}\right)"," ",0,"a**2*x**5/5 + a*b*x**6/3 + b*c*x**8/4 + c**2*x**9/9 + x**7*(2*a*c/7 + b**2/7)","A",0
9,1,49,0,0.076063," ","integrate((c*x**4+b*x**3+a*x**2)**2/x,x)","\frac{a^{2} x^{4}}{4} + \frac{2 a b x^{5}}{5} + \frac{2 b c x^{7}}{7} + \frac{c^{2} x^{8}}{8} + x^{6} \left(\frac{a c}{3} + \frac{b^{2}}{6}\right)"," ",0,"a**2*x**4/4 + 2*a*b*x**5/5 + 2*b*c*x**7/7 + c**2*x**8/8 + x**6*(a*c/3 + b**2/6)","A",0
10,1,48,0,0.077544," ","integrate((c*x**4+b*x**3+a*x**2)**2/x**2,x)","\frac{a^{2} x^{3}}{3} + \frac{a b x^{4}}{2} + \frac{b c x^{6}}{3} + \frac{c^{2} x^{7}}{7} + x^{5} \left(\frac{2 a c}{5} + \frac{b^{2}}{5}\right)"," ",0,"a**2*x**3/3 + a*b*x**4/2 + b*c*x**6/3 + c**2*x**7/7 + x**5*(2*a*c/5 + b**2/5)","A",0
11,1,381,0,0.841148," ","integrate(x**5/(c*x**4+b*x**3+a*x**2),x)","- \frac{b x}{c^{2}} + \left(- \frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{2 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{2 c^{3}}\right) \log{\left(x + \frac{2 a^{2} c - a b^{2} + 4 a c^{3} \left(- \frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{2 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{2 c^{3}}\right) - b^{2} c^{2} \left(- \frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{2 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{2 c^{3}}\right)}{3 a b c - b^{3}} \right)} + \left(\frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{2 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{2 c^{3}}\right) \log{\left(x + \frac{2 a^{2} c - a b^{2} + 4 a c^{3} \left(\frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{2 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{2 c^{3}}\right) - b^{2} c^{2} \left(\frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{2 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{2 c^{3}}\right)}{3 a b c - b^{3}} \right)} + \frac{x^{2}}{2 c}"," ",0,"-b*x/c**2 + (-b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(2*c**3*(4*a*c - b**2)) - (a*c - b**2)/(2*c**3))*log(x + (2*a**2*c - a*b**2 + 4*a*c**3*(-b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(2*c**3*(4*a*c - b**2)) - (a*c - b**2)/(2*c**3)) - b**2*c**2*(-b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(2*c**3*(4*a*c - b**2)) - (a*c - b**2)/(2*c**3)))/(3*a*b*c - b**3)) + (b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(2*c**3*(4*a*c - b**2)) - (a*c - b**2)/(2*c**3))*log(x + (2*a**2*c - a*b**2 + 4*a*c**3*(b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(2*c**3*(4*a*c - b**2)) - (a*c - b**2)/(2*c**3)) - b**2*c**2*(b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(2*c**3*(4*a*c - b**2)) - (a*c - b**2)/(2*c**3)))/(3*a*b*c - b**3)) + x**2/(2*c)","B",0
12,1,306,0,0.623481," ","integrate(x**4/(c*x**4+b*x**3+a*x**2),x)","\left(- \frac{b}{2 c^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{2 c^{2} \left(4 a c - b^{2}\right)}\right) \log{\left(x + \frac{- a b - 4 a c^{2} \left(- \frac{b}{2 c^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{2 c^{2} \left(4 a c - b^{2}\right)}\right) + b^{2} c \left(- \frac{b}{2 c^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{2 c^{2} \left(4 a c - b^{2}\right)}\right)}{2 a c - b^{2}} \right)} + \left(- \frac{b}{2 c^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{2 c^{2} \left(4 a c - b^{2}\right)}\right) \log{\left(x + \frac{- a b - 4 a c^{2} \left(- \frac{b}{2 c^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{2 c^{2} \left(4 a c - b^{2}\right)}\right) + b^{2} c \left(- \frac{b}{2 c^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{2 c^{2} \left(4 a c - b^{2}\right)}\right)}{2 a c - b^{2}} \right)} + \frac{x}{c}"," ",0,"(-b/(2*c**2) - sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(2*c**2*(4*a*c - b**2)))*log(x + (-a*b - 4*a*c**2*(-b/(2*c**2) - sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(2*c**2*(4*a*c - b**2))) + b**2*c*(-b/(2*c**2) - sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(2*c**2*(4*a*c - b**2))))/(2*a*c - b**2)) + (-b/(2*c**2) + sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(2*c**2*(4*a*c - b**2)))*log(x + (-a*b - 4*a*c**2*(-b/(2*c**2) + sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(2*c**2*(4*a*c - b**2))) + b**2*c*(-b/(2*c**2) + sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(2*c**2*(4*a*c - b**2))))/(2*a*c - b**2)) + x/c","B",0
13,1,216,0,0.325557," ","integrate(x**3/(c*x**4+b*x**3+a*x**2),x)","\left(- \frac{b \sqrt{- 4 a c + b^{2}}}{2 c \left(4 a c - b^{2}\right)} + \frac{1}{2 c}\right) \log{\left(x + \frac{- 4 a c \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{2 c \left(4 a c - b^{2}\right)} + \frac{1}{2 c}\right) + 2 a + b^{2} \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{2 c \left(4 a c - b^{2}\right)} + \frac{1}{2 c}\right)}{b} \right)} + \left(\frac{b \sqrt{- 4 a c + b^{2}}}{2 c \left(4 a c - b^{2}\right)} + \frac{1}{2 c}\right) \log{\left(x + \frac{- 4 a c \left(\frac{b \sqrt{- 4 a c + b^{2}}}{2 c \left(4 a c - b^{2}\right)} + \frac{1}{2 c}\right) + 2 a + b^{2} \left(\frac{b \sqrt{- 4 a c + b^{2}}}{2 c \left(4 a c - b^{2}\right)} + \frac{1}{2 c}\right)}{b} \right)}"," ",0,"(-b*sqrt(-4*a*c + b**2)/(2*c*(4*a*c - b**2)) + 1/(2*c))*log(x + (-4*a*c*(-b*sqrt(-4*a*c + b**2)/(2*c*(4*a*c - b**2)) + 1/(2*c)) + 2*a + b**2*(-b*sqrt(-4*a*c + b**2)/(2*c*(4*a*c - b**2)) + 1/(2*c)))/b) + (b*sqrt(-4*a*c + b**2)/(2*c*(4*a*c - b**2)) + 1/(2*c))*log(x + (-4*a*c*(b*sqrt(-4*a*c + b**2)/(2*c*(4*a*c - b**2)) + 1/(2*c)) + 2*a + b**2*(b*sqrt(-4*a*c + b**2)/(2*c*(4*a*c - b**2)) + 1/(2*c)))/b)","B",0
14,1,124,0,0.221655," ","integrate(x**2/(c*x**4+b*x**3+a*x**2),x)","- \sqrt{- \frac{1}{4 a c - b^{2}}} \log{\left(x + \frac{- 4 a c \sqrt{- \frac{1}{4 a c - b^{2}}} + b^{2} \sqrt{- \frac{1}{4 a c - b^{2}}} + b}{2 c} \right)} + \sqrt{- \frac{1}{4 a c - b^{2}}} \log{\left(x + \frac{4 a c \sqrt{- \frac{1}{4 a c - b^{2}}} - b^{2} \sqrt{- \frac{1}{4 a c - b^{2}}} + b}{2 c} \right)}"," ",0,"-sqrt(-1/(4*a*c - b**2))*log(x + (-4*a*c*sqrt(-1/(4*a*c - b**2)) + b**2*sqrt(-1/(4*a*c - b**2)) + b)/(2*c)) + sqrt(-1/(4*a*c - b**2))*log(x + (4*a*c*sqrt(-1/(4*a*c - b**2)) - b**2*sqrt(-1/(4*a*c - b**2)) + b)/(2*c))","B",0
15,1,564,0,4.357665," ","integrate(x/(c*x**4+b*x**3+a*x**2),x)","\left(- \frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right) \log{\left(x + \frac{24 a^{4} c^{2} \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right)^{2} - 14 a^{3} b^{2} c \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right)^{2} - 12 a^{3} c^{2} \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right) + 2 a^{2} b^{4} \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right)^{2} + 3 a^{2} b^{2} c \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right) - 12 a^{2} c^{2} + 11 a b^{2} c - 2 b^{4}}{9 a b c^{2} - 2 b^{3} c} \right)} + \left(\frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right) \log{\left(x + \frac{24 a^{4} c^{2} \left(\frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right)^{2} - 14 a^{3} b^{2} c \left(\frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right)^{2} - 12 a^{3} c^{2} \left(\frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right) + 2 a^{2} b^{4} \left(\frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right)^{2} + 3 a^{2} b^{2} c \left(\frac{b \sqrt{- 4 a c + b^{2}}}{2 a \left(4 a c - b^{2}\right)} - \frac{1}{2 a}\right) - 12 a^{2} c^{2} + 11 a b^{2} c - 2 b^{4}}{9 a b c^{2} - 2 b^{3} c} \right)} + \frac{\log{\left(x \right)}}{a}"," ",0,"(-b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a))*log(x + (24*a**4*c**2*(-b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a))**2 - 14*a**3*b**2*c*(-b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a))**2 - 12*a**3*c**2*(-b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a)) + 2*a**2*b**4*(-b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a))**2 + 3*a**2*b**2*c*(-b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a)) - 12*a**2*c**2 + 11*a*b**2*c - 2*b**4)/(9*a*b*c**2 - 2*b**3*c)) + (b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a))*log(x + (24*a**4*c**2*(b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a))**2 - 14*a**3*b**2*c*(b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a))**2 - 12*a**3*c**2*(b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a)) + 2*a**2*b**4*(b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a))**2 + 3*a**2*b**2*c*(b*sqrt(-4*a*c + b**2)/(2*a*(4*a*c - b**2)) - 1/(2*a)) - 12*a**2*c**2 + 11*a*b**2*c - 2*b**4)/(9*a*b*c**2 - 2*b**3*c)) + log(x)/a","B",0
16,-1,0,0,0.000000," ","integrate(1/(c*x**4+b*x**3+a*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,-1,0,0,0.000000," ","integrate(1/x/(c*x**4+b*x**3+a*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,-1,0,0,0.000000," ","integrate(1/x**2/(c*x**4+b*x**3+a*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,1,842,0,1.791941," ","integrate(x**8/(c*x**4+b*x**3+a*x**2)**2,x)","\left(- \frac{b}{c^{3}} - \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) \log{\left(x + \frac{- 10 a^{2} b c - 16 a^{2} c^{4} \left(- \frac{b}{c^{3}} - \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) + 2 a b^{3} + 8 a b^{2} c^{3} \left(- \frac{b}{c^{3}} - \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) - b^{4} c^{2} \left(- \frac{b}{c^{3}} - \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right)}{12 a^{2} c^{2} - 12 a b^{2} c + 2 b^{4}} \right)} + \left(- \frac{b}{c^{3}} + \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) \log{\left(x + \frac{- 10 a^{2} b c - 16 a^{2} c^{4} \left(- \frac{b}{c^{3}} + \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) + 2 a b^{3} + 8 a b^{2} c^{3} \left(- \frac{b}{c^{3}} + \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) - b^{4} c^{2} \left(- \frac{b}{c^{3}} + \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right)}{12 a^{2} c^{2} - 12 a b^{2} c + 2 b^{4}} \right)} + \frac{- 3 a^{2} b c + a b^{3} + x \left(2 a^{2} c^{2} - 4 a b^{2} c + b^{4}\right)}{4 a^{2} c^{4} - a b^{2} c^{3} + x^{2} \left(4 a c^{5} - b^{2} c^{4}\right) + x \left(4 a b c^{4} - b^{3} c^{3}\right)} + \frac{x}{c^{2}}"," ",0,"(-b/c**3 - sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)))*log(x + (-10*a**2*b*c - 16*a**2*c**4*(-b/c**3 - sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))) + 2*a*b**3 + 8*a*b**2*c**3*(-b/c**3 - sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))) - b**4*c**2*(-b/c**3 - sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))))/(12*a**2*c**2 - 12*a*b**2*c + 2*b**4)) + (-b/c**3 + sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)))*log(x + (-10*a**2*b*c - 16*a**2*c**4*(-b/c**3 + sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))) + 2*a*b**3 + 8*a*b**2*c**3*(-b/c**3 + sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))) - b**4*c**2*(-b/c**3 + sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))))/(12*a**2*c**2 - 12*a*b**2*c + 2*b**4)) + (-3*a**2*b*c + a*b**3 + x*(2*a**2*c**2 - 4*a*b**2*c + b**4))/(4*a**2*c**4 - a*b**2*c**3 + x**2*(4*a*c**5 - b**2*c**4) + x*(4*a*b*c**4 - b**3*c**3)) + x/c**2","B",0
20,1,729,0,1.365932," ","integrate(x**7/(c*x**4+b*x**3+a*x**2)**2,x)","\left(- \frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{2 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{2 c^{2}}\right) \log{\left(x + \frac{- 16 a^{2} c^{3} \left(- \frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{2 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{2 c^{2}}\right) + 8 a^{2} c + 8 a b^{2} c^{2} \left(- \frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{2 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{2 c^{2}}\right) - a b^{2} - b^{4} c \left(- \frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{2 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{2 c^{2}}\right)}{6 a b c - b^{3}} \right)} + \left(\frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{2 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{2 c^{2}}\right) \log{\left(x + \frac{- 16 a^{2} c^{3} \left(\frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{2 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{2 c^{2}}\right) + 8 a^{2} c + 8 a b^{2} c^{2} \left(\frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{2 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{2 c^{2}}\right) - a b^{2} - b^{4} c \left(\frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{2 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{2 c^{2}}\right)}{6 a b c - b^{3}} \right)} + \frac{2 a^{2} c - a b^{2} + x \left(3 a b c - b^{3}\right)}{4 a^{2} c^{3} - a b^{2} c^{2} + x^{2} \left(4 a c^{4} - b^{2} c^{3}\right) + x \left(4 a b c^{3} - b^{3} c^{2}\right)}"," ",0,"(-b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(2*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(2*c**2))*log(x + (-16*a**2*c**3*(-b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(2*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(2*c**2)) + 8*a**2*c + 8*a*b**2*c**2*(-b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(2*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(2*c**2)) - a*b**2 - b**4*c*(-b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(2*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(2*c**2)))/(6*a*b*c - b**3)) + (b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(2*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(2*c**2))*log(x + (-16*a**2*c**3*(b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(2*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(2*c**2)) + 8*a**2*c + 8*a*b**2*c**2*(b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(2*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(2*c**2)) - a*b**2 - b**4*c*(b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(2*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(2*c**2)))/(6*a*b*c - b**3)) + (2*a**2*c - a*b**2 + x*(3*a*b*c - b**3))/(4*a**2*c**3 - a*b**2*c**2 + x**2*(4*a*c**4 - b**2*c**3) + x*(4*a*b*c**3 - b**3*c**2))","B",0
21,1,280,0,0.599913," ","integrate(x**6/(c*x**4+b*x**3+a*x**2)**2,x)","- 2 a \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x + \frac{- 32 a^{3} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 16 a^{2} b^{2} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - 2 a b^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 2 a b}{4 a c} \right)} + 2 a \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x + \frac{32 a^{3} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - 16 a^{2} b^{2} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 2 a b^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 2 a b}{4 a c} \right)} + \frac{a b + x \left(- 2 a c + b^{2}\right)}{4 a^{2} c^{2} - a b^{2} c + x^{2} \left(4 a c^{3} - b^{2} c^{2}\right) + x \left(4 a b c^{2} - b^{3} c\right)}"," ",0,"-2*a*sqrt(-1/(4*a*c - b**2)**3)*log(x + (-32*a**3*c**2*sqrt(-1/(4*a*c - b**2)**3) + 16*a**2*b**2*c*sqrt(-1/(4*a*c - b**2)**3) - 2*a*b**4*sqrt(-1/(4*a*c - b**2)**3) + 2*a*b)/(4*a*c)) + 2*a*sqrt(-1/(4*a*c - b**2)**3)*log(x + (32*a**3*c**2*sqrt(-1/(4*a*c - b**2)**3) - 16*a**2*b**2*c*sqrt(-1/(4*a*c - b**2)**3) + 2*a*b**4*sqrt(-1/(4*a*c - b**2)**3) + 2*a*b)/(4*a*c)) + (a*b + x*(-2*a*c + b**2))/(4*a**2*c**2 - a*b**2*c + x**2*(4*a*c**3 - b**2*c**2) + x*(4*a*b*c**2 - b**3*c))","B",0
22,1,253,0,0.564111," ","integrate(x**5/(c*x**4+b*x**3+a*x**2)**2,x)","b \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x + \frac{- 16 a^{2} b c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 8 a b^{3} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - b^{5} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + b^{2}}{2 b c} \right)} - b \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x + \frac{16 a^{2} b c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - 8 a b^{3} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + b^{5} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + b^{2}}{2 b c} \right)} + \frac{- 2 a - b x}{4 a^{2} c - a b^{2} + x^{2} \left(4 a c^{2} - b^{2} c\right) + x \left(4 a b c - b^{3}\right)}"," ",0,"b*sqrt(-1/(4*a*c - b**2)**3)*log(x + (-16*a**2*b*c**2*sqrt(-1/(4*a*c - b**2)**3) + 8*a*b**3*c*sqrt(-1/(4*a*c - b**2)**3) - b**5*sqrt(-1/(4*a*c - b**2)**3) + b**2)/(2*b*c)) - b*sqrt(-1/(4*a*c - b**2)**3)*log(x + (16*a**2*b*c**2*sqrt(-1/(4*a*c - b**2)**3) - 8*a*b**3*c*sqrt(-1/(4*a*c - b**2)**3) + b**5*sqrt(-1/(4*a*c - b**2)**3) + b**2)/(2*b*c)) + (-2*a - b*x)/(4*a**2*c - a*b**2 + x**2*(4*a*c**2 - b**2*c) + x*(4*a*b*c - b**3))","B",0
23,1,265,0,0.587612," ","integrate(x**4/(c*x**4+b*x**3+a*x**2)**2,x)","- 2 c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x + \frac{- 32 a^{2} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 16 a b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - 2 b^{4} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 2 b c}{4 c^{2}} \right)} + 2 c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x + \frac{32 a^{2} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - 16 a b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 2 b^{4} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 2 b c}{4 c^{2}} \right)} + \frac{b + 2 c x}{4 a^{2} c - a b^{2} + x^{2} \left(4 a c^{2} - b^{2} c\right) + x \left(4 a b c - b^{3}\right)}"," ",0,"-2*c*sqrt(-1/(4*a*c - b**2)**3)*log(x + (-32*a**2*c**3*sqrt(-1/(4*a*c - b**2)**3) + 16*a*b**2*c**2*sqrt(-1/(4*a*c - b**2)**3) - 2*b**4*c*sqrt(-1/(4*a*c - b**2)**3) + 2*b*c)/(4*c**2)) + 2*c*sqrt(-1/(4*a*c - b**2)**3)*log(x + (32*a**2*c**3*sqrt(-1/(4*a*c - b**2)**3) - 16*a*b**2*c**2*sqrt(-1/(4*a*c - b**2)**3) + 2*b**4*c*sqrt(-1/(4*a*c - b**2)**3) + 2*b*c)/(4*c**2)) + (b + 2*c*x)/(4*a**2*c - a*b**2 + x**2*(4*a*c**2 - b**2*c) + x*(4*a*b*c - b**3))","B",0
24,-1,0,0,0.000000," ","integrate(x**3/(c*x**4+b*x**3+a*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,-1,0,0,0.000000," ","integrate(x**2/(c*x**4+b*x**3+a*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
26,-1,0,0,0.000000," ","integrate(x/(c*x**4+b*x**3+a*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
27,-1,0,0,0.000000," ","integrate(1/(c*x**4+b*x**3+a*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,-1,0,0,0.000000," ","integrate(1/x/(c*x**4+b*x**3+a*x**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,0,0,0,0.000000," ","integrate(x**2*(c*x**4+b*x**3+a*x**2)**(1/2),x)","\int x^{2} \sqrt{x^{2} \left(a + b x + c x^{2}\right)}\, dx"," ",0,"Integral(x**2*sqrt(x**2*(a + b*x + c*x**2)), x)","F",0
30,0,0,0,0.000000," ","integrate(x*(c*x**4+b*x**3+a*x**2)**(1/2),x)","\int x \sqrt{x^{2} \left(a + b x + c x^{2}\right)}\, dx"," ",0,"Integral(x*sqrt(x**2*(a + b*x + c*x**2)), x)","F",0
31,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(1/2),x)","\int \sqrt{a x^{2} + b x^{3} + c x^{4}}\, dx"," ",0,"Integral(sqrt(a*x**2 + b*x**3 + c*x**4), x)","F",0
32,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(1/2)/x,x)","\int \frac{\sqrt{x^{2} \left(a + b x + c x^{2}\right)}}{x}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x + c*x**2))/x, x)","F",0
33,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(1/2)/x**2,x)","\int \frac{\sqrt{x^{2} \left(a + b x + c x^{2}\right)}}{x^{2}}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x + c*x**2))/x**2, x)","F",0
34,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(1/2)/x**3,x)","\int \frac{\sqrt{x^{2} \left(a + b x + c x^{2}\right)}}{x^{3}}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x + c*x**2))/x**3, x)","F",0
35,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(1/2)/x**4,x)","\int \frac{\sqrt{x^{2} \left(a + b x + c x^{2}\right)}}{x^{4}}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x + c*x**2))/x**4, x)","F",0
36,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(1/2)/x**5,x)","\int \frac{\sqrt{x^{2} \left(a + b x + c x^{2}\right)}}{x^{5}}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x + c*x**2))/x**5, x)","F",0
37,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(1/2)/x**6,x)","\int \frac{\sqrt{x^{2} \left(a + b x + c x^{2}\right)}}{x^{6}}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x + c*x**2))/x**6, x)","F",0
38,0,0,0,0.000000," ","integrate(x*(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int x \left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(x**2*(a + b*x + c*x**2))**(3/2), x)","F",0
39,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \left(a x^{2} + b x^{3} + c x^{4}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*x**2 + b*x**3 + c*x**4)**(3/2), x)","F",0
40,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(3/2)/x,x)","\int \frac{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((x**2*(a + b*x + c*x**2))**(3/2)/x, x)","F",0
41,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(3/2)/x**2,x)","\int \frac{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((x**2*(a + b*x + c*x**2))**(3/2)/x**2, x)","F",0
42,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(3/2)/x**3,x)","\int \frac{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"Integral((x**2*(a + b*x + c*x**2))**(3/2)/x**3, x)","F",0
43,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(3/2)/x**4,x)","\int \frac{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"Integral((x**2*(a + b*x + c*x**2))**(3/2)/x**4, x)","F",0
44,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(3/2)/x**5,x)","\int \frac{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}{x^{5}}\, dx"," ",0,"Integral((x**2*(a + b*x + c*x**2))**(3/2)/x**5, x)","F",0
45,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(3/2)/x**6,x)","\int \frac{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}{x^{6}}\, dx"," ",0,"Integral((x**2*(a + b*x + c*x**2))**(3/2)/x**6, x)","F",0
46,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(3/2)/x**7,x)","\int \frac{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}{x^{7}}\, dx"," ",0,"Integral((x**2*(a + b*x + c*x**2))**(3/2)/x**7, x)","F",0
47,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(3/2)/x**8,x)","\int \frac{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}{x^{8}}\, dx"," ",0,"Integral((x**2*(a + b*x + c*x**2))**(3/2)/x**8, x)","F",0
48,0,0,0,0.000000," ","integrate((c*x**4+b*x**3+a*x**2)**(3/2)/x**9,x)","\int \frac{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}{x^{9}}\, dx"," ",0,"Integral((x**2*(a + b*x + c*x**2))**(3/2)/x**9, x)","F",0
49,0,0,0,0.000000," ","integrate(x**3/(c*x**4+b*x**3+a*x**2)**(1/2),x)","\int \frac{x^{3}}{\sqrt{x^{2} \left(a + b x + c x^{2}\right)}}\, dx"," ",0,"Integral(x**3/sqrt(x**2*(a + b*x + c*x**2)), x)","F",0
50,0,0,0,0.000000," ","integrate(x**2/(c*x**4+b*x**3+a*x**2)**(1/2),x)","\int \frac{x^{2}}{\sqrt{x^{2} \left(a + b x + c x^{2}\right)}}\, dx"," ",0,"Integral(x**2/sqrt(x**2*(a + b*x + c*x**2)), x)","F",0
51,0,0,0,0.000000," ","integrate(x/(c*x**4+b*x**3+a*x**2)**(1/2),x)","\int \frac{x}{\sqrt{x^{2} \left(a + b x + c x^{2}\right)}}\, dx"," ",0,"Integral(x/sqrt(x**2*(a + b*x + c*x**2)), x)","F",0
52,0,0,0,0.000000," ","integrate(1/(c*x**4+b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{\sqrt{a x^{2} + b x^{3} + c x^{4}}}\, dx"," ",0,"Integral(1/sqrt(a*x**2 + b*x**3 + c*x**4), x)","F",0
53,0,0,0,0.000000," ","integrate(1/x/(c*x**4+b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{x \sqrt{x^{2} \left(a + b x + c x^{2}\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(x**2*(a + b*x + c*x**2))), x)","F",0
54,0,0,0,0.000000," ","integrate(1/x**2/(c*x**4+b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{x^{2} \left(a + b x + c x^{2}\right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(x**2*(a + b*x + c*x**2))), x)","F",0
55,0,0,0,0.000000," ","integrate(x**7/(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{7}}{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**7/(x**2*(a + b*x + c*x**2))**(3/2), x)","F",0
56,0,0,0,0.000000," ","integrate(x**6/(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{6}}{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**6/(x**2*(a + b*x + c*x**2))**(3/2), x)","F",0
57,0,0,0,0.000000," ","integrate(x**5/(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{5}}{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5/(x**2*(a + b*x + c*x**2))**(3/2), x)","F",0
58,0,0,0,0.000000," ","integrate(x**4/(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{4}}{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4/(x**2*(a + b*x + c*x**2))**(3/2), x)","F",0
59,0,0,0,0.000000," ","integrate(x**3/(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{3}}{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/(x**2*(a + b*x + c*x**2))**(3/2), x)","F",0
60,0,0,0,0.000000," ","integrate(x**2/(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{2}}{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(x**2*(a + b*x + c*x**2))**(3/2), x)","F",0
61,0,0,0,0.000000," ","integrate(x/(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \frac{x}{\left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(x**2*(a + b*x + c*x**2))**(3/2), x)","F",0
62,0,0,0,0.000000," ","integrate(1/(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \frac{1}{\left(a x^{2} + b x^{3} + c x^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*x**2 + b*x**3 + c*x**4)**(-3/2), x)","F",0
63,0,0,0,0.000000," ","integrate(1/x/(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \frac{1}{x \left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(x**2*(a + b*x + c*x**2))**(3/2)), x)","F",0
64,0,0,0,0.000000," ","integrate(1/x**2/(c*x**4+b*x**3+a*x**2)**(3/2),x)","\int \frac{1}{x^{2} \left(x^{2} \left(a + b x + c x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(x**2*(a + b*x + c*x**2))**(3/2)), x)","F",0
65,1,280,0,1.176053," ","integrate(x**m*(c*x**5+b*x**3+a*x),x)","\begin{cases} - \frac{a}{4 x^{4}} - \frac{b}{2 x^{2}} + c \log{\left(x \right)} & \text{for}\: m = -6 \\- \frac{a}{2 x^{2}} + b \log{\left(x \right)} + \frac{c x^{2}}{2} & \text{for}\: m = -4 \\a \log{\left(x \right)} + \frac{b x^{2}}{2} + \frac{c x^{4}}{4} & \text{for}\: m = -2 \\\frac{a m^{2} x^{2} x^{m}}{m^{3} + 12 m^{2} + 44 m + 48} + \frac{10 a m x^{2} x^{m}}{m^{3} + 12 m^{2} + 44 m + 48} + \frac{24 a x^{2} x^{m}}{m^{3} + 12 m^{2} + 44 m + 48} + \frac{b m^{2} x^{4} x^{m}}{m^{3} + 12 m^{2} + 44 m + 48} + \frac{8 b m x^{4} x^{m}}{m^{3} + 12 m^{2} + 44 m + 48} + \frac{12 b x^{4} x^{m}}{m^{3} + 12 m^{2} + 44 m + 48} + \frac{c m^{2} x^{6} x^{m}}{m^{3} + 12 m^{2} + 44 m + 48} + \frac{6 c m x^{6} x^{m}}{m^{3} + 12 m^{2} + 44 m + 48} + \frac{8 c x^{6} x^{m}}{m^{3} + 12 m^{2} + 44 m + 48} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a/(4*x**4) - b/(2*x**2) + c*log(x), Eq(m, -6)), (-a/(2*x**2) + b*log(x) + c*x**2/2, Eq(m, -4)), (a*log(x) + b*x**2/2 + c*x**4/4, Eq(m, -2)), (a*m**2*x**2*x**m/(m**3 + 12*m**2 + 44*m + 48) + 10*a*m*x**2*x**m/(m**3 + 12*m**2 + 44*m + 48) + 24*a*x**2*x**m/(m**3 + 12*m**2 + 44*m + 48) + b*m**2*x**4*x**m/(m**3 + 12*m**2 + 44*m + 48) + 8*b*m*x**4*x**m/(m**3 + 12*m**2 + 44*m + 48) + 12*b*x**4*x**m/(m**3 + 12*m**2 + 44*m + 48) + c*m**2*x**6*x**m/(m**3 + 12*m**2 + 44*m + 48) + 6*c*m*x**6*x**m/(m**3 + 12*m**2 + 44*m + 48) + 8*c*x**6*x**m/(m**3 + 12*m**2 + 44*m + 48), True))","A",0
66,1,19,0,0.061276," ","integrate(x**2*(c*x**5+b*x**3+a*x),x)","\frac{a x^{4}}{4} + \frac{b x^{6}}{6} + \frac{c x^{8}}{8}"," ",0,"a*x**4/4 + b*x**6/6 + c*x**8/8","A",0
67,1,19,0,0.060708," ","integrate(x*(c*x**5+b*x**3+a*x),x)","\frac{a x^{3}}{3} + \frac{b x^{5}}{5} + \frac{c x^{7}}{7}"," ",0,"a*x**3/3 + b*x**5/5 + c*x**7/7","A",0
68,1,19,0,0.060996," ","integrate(c*x**5+b*x**3+a*x,x)","\frac{a x^{2}}{2} + \frac{b x^{4}}{4} + \frac{c x^{6}}{6}"," ",0,"a*x**2/2 + b*x**4/4 + c*x**6/6","A",0
69,1,15,0,0.066056," ","integrate((c*x**5+b*x**3+a*x)/x,x)","a x + \frac{b x^{3}}{3} + \frac{c x^{5}}{5}"," ",0,"a*x + b*x**3/3 + c*x**5/5","A",0
70,1,17,0,0.095045," ","integrate((c*x**5+b*x**3+a*x)/x**2,x)","a \log{\left(x \right)} + \frac{b x^{2}}{2} + \frac{c x^{4}}{4}"," ",0,"a*log(x) + b*x**2/2 + c*x**4/4","A",0
71,1,12,0,0.095397," ","integrate((c*x**5+b*x**3+a*x)/x**3,x)","- \frac{a}{x} + b x + \frac{c x^{3}}{3}"," ",0,"-a/x + b*x + c*x**3/3","A",0
72,1,1377,0,4.286588," ","integrate(x**m*(c*x**5+b*x**3+a*x)**2,x)","\begin{cases} - \frac{a^{2}}{8 x^{8}} - \frac{a b}{3 x^{6}} - \frac{a c}{2 x^{4}} - \frac{b^{2}}{4 x^{4}} - \frac{b c}{x^{2}} + c^{2} \log{\left(x \right)} & \text{for}\: m = -11 \\- \frac{a^{2}}{6 x^{6}} - \frac{a b}{2 x^{4}} - \frac{a c}{x^{2}} - \frac{b^{2}}{2 x^{2}} + 2 b c \log{\left(x \right)} + \frac{c^{2} x^{2}}{2} & \text{for}\: m = -9 \\- \frac{a^{2}}{4 x^{4}} - \frac{a b}{x^{2}} + 2 a c \log{\left(x \right)} + b^{2} \log{\left(x \right)} + b c x^{2} + \frac{c^{2} x^{4}}{4} & \text{for}\: m = -7 \\- \frac{a^{2}}{2 x^{2}} + 2 a b \log{\left(x \right)} + a c x^{2} + \frac{b^{2} x^{2}}{2} + \frac{b c x^{4}}{2} + \frac{c^{2} x^{6}}{6} & \text{for}\: m = -5 \\a^{2} \log{\left(x \right)} + a b x^{2} + \frac{a c x^{4}}{2} + \frac{b^{2} x^{4}}{4} + \frac{b c x^{6}}{3} + \frac{c^{2} x^{8}}{8} & \text{for}\: m = -3 \\\frac{a^{2} m^{4} x^{3} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{32 a^{2} m^{3} x^{3} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{374 a^{2} m^{2} x^{3} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{1888 a^{2} m x^{3} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{3465 a^{2} x^{3} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{2 a b m^{4} x^{5} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{60 a b m^{3} x^{5} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{640 a b m^{2} x^{5} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{2820 a b m x^{5} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{4158 a b x^{5} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{2 a c m^{4} x^{7} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{56 a c m^{3} x^{7} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{548 a c m^{2} x^{7} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{2184 a c m x^{7} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{2970 a c x^{7} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{b^{2} m^{4} x^{7} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{28 b^{2} m^{3} x^{7} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{274 b^{2} m^{2} x^{7} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{1092 b^{2} m x^{7} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{1485 b^{2} x^{7} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{2 b c m^{4} x^{9} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{52 b c m^{3} x^{9} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{472 b c m^{2} x^{9} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{1772 b c m x^{9} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{2310 b c x^{9} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{c^{2} m^{4} x^{11} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{24 c^{2} m^{3} x^{11} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{206 c^{2} m^{2} x^{11} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{744 c^{2} m x^{11} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} + \frac{945 c^{2} x^{11} x^{m}}{m^{5} + 35 m^{4} + 470 m^{3} + 3010 m^{2} + 9129 m + 10395} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2/(8*x**8) - a*b/(3*x**6) - a*c/(2*x**4) - b**2/(4*x**4) - b*c/x**2 + c**2*log(x), Eq(m, -11)), (-a**2/(6*x**6) - a*b/(2*x**4) - a*c/x**2 - b**2/(2*x**2) + 2*b*c*log(x) + c**2*x**2/2, Eq(m, -9)), (-a**2/(4*x**4) - a*b/x**2 + 2*a*c*log(x) + b**2*log(x) + b*c*x**2 + c**2*x**4/4, Eq(m, -7)), (-a**2/(2*x**2) + 2*a*b*log(x) + a*c*x**2 + b**2*x**2/2 + b*c*x**4/2 + c**2*x**6/6, Eq(m, -5)), (a**2*log(x) + a*b*x**2 + a*c*x**4/2 + b**2*x**4/4 + b*c*x**6/3 + c**2*x**8/8, Eq(m, -3)), (a**2*m**4*x**3*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 32*a**2*m**3*x**3*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 374*a**2*m**2*x**3*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 1888*a**2*m*x**3*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 3465*a**2*x**3*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 2*a*b*m**4*x**5*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 60*a*b*m**3*x**5*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 640*a*b*m**2*x**5*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 2820*a*b*m*x**5*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 4158*a*b*x**5*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 2*a*c*m**4*x**7*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 56*a*c*m**3*x**7*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 548*a*c*m**2*x**7*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 2184*a*c*m*x**7*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 2970*a*c*x**7*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + b**2*m**4*x**7*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 28*b**2*m**3*x**7*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 274*b**2*m**2*x**7*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 1092*b**2*m*x**7*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 1485*b**2*x**7*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 2*b*c*m**4*x**9*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 52*b*c*m**3*x**9*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 472*b*c*m**2*x**9*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 1772*b*c*m*x**9*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 2310*b*c*x**9*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + c**2*m**4*x**11*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 24*c**2*m**3*x**11*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 206*c**2*m**2*x**11*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 744*c**2*m*x**11*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395) + 945*c**2*x**11*x**m/(m**5 + 35*m**4 + 470*m**3 + 3010*m**2 + 9129*m + 10395), True))","A",0
73,1,51,0,0.079365," ","integrate(x**2*(c*x**5+b*x**3+a*x)**2,x)","\frac{a^{2} x^{5}}{5} + \frac{2 a b x^{7}}{7} + \frac{2 b c x^{11}}{11} + \frac{c^{2} x^{13}}{13} + x^{9} \left(\frac{2 a c}{9} + \frac{b^{2}}{9}\right)"," ",0,"a**2*x**5/5 + 2*a*b*x**7/7 + 2*b*c*x**11/11 + c**2*x**13/13 + x**9*(2*a*c/9 + b**2/9)","A",0
74,1,46,0,0.076493," ","integrate(x*(c*x**5+b*x**3+a*x)**2,x)","\frac{a^{2} x^{4}}{4} + \frac{a b x^{6}}{3} + \frac{b c x^{10}}{5} + \frac{c^{2} x^{12}}{12} + x^{8} \left(\frac{a c}{4} + \frac{b^{2}}{8}\right)"," ",0,"a**2*x**4/4 + a*b*x**6/3 + b*c*x**10/5 + c**2*x**12/12 + x**8*(a*c/4 + b**2/8)","A",0
75,1,51,0,0.074428," ","integrate((c*x**5+b*x**3+a*x)**2,x)","\frac{a^{2} x^{3}}{3} + \frac{2 a b x^{5}}{5} + \frac{2 b c x^{9}}{9} + \frac{c^{2} x^{11}}{11} + x^{7} \left(\frac{2 a c}{7} + \frac{b^{2}}{7}\right)"," ",0,"a**2*x**3/3 + 2*a*b*x**5/5 + 2*b*c*x**9/9 + c**2*x**11/11 + x**7*(2*a*c/7 + b**2/7)","A",0
76,1,46,0,0.077297," ","integrate((c*x**5+b*x**3+a*x)**2/x,x)","\frac{a^{2} x^{2}}{2} + \frac{a b x^{4}}{2} + \frac{b c x^{8}}{4} + \frac{c^{2} x^{10}}{10} + x^{6} \left(\frac{a c}{3} + \frac{b^{2}}{6}\right)"," ",0,"a**2*x**2/2 + a*b*x**4/2 + b*c*x**8/4 + c**2*x**10/10 + x**6*(a*c/3 + b**2/6)","A",0
77,1,48,0,0.080306," ","integrate((c*x**5+b*x**3+a*x)**2/x**2,x)","a^{2} x + \frac{2 a b x^{3}}{3} + \frac{2 b c x^{7}}{7} + \frac{c^{2} x^{9}}{9} + x^{5} \left(\frac{2 a c}{5} + \frac{b^{2}}{5}\right)"," ",0,"a**2*x + 2*a*b*x**3/3 + 2*b*c*x**7/7 + c**2*x**9/9 + x**5*(2*a*c/5 + b**2/5)","A",0
78,1,391,0,2.945959," ","integrate(x**8/(c*x**5+b*x**3+a*x),x)","- \frac{b x^{2}}{2 c^{2}} + \left(- \frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{4 c^{3}}\right) \log{\left(x^{2} + \frac{2 a^{2} c - a b^{2} + 8 a c^{3} \left(- \frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{4 c^{3}}\right) - 2 b^{2} c^{2} \left(- \frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{4 c^{3}}\right)}{3 a b c - b^{3}} \right)} + \left(\frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{4 c^{3}}\right) \log{\left(x^{2} + \frac{2 a^{2} c - a b^{2} + 8 a c^{3} \left(\frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{4 c^{3}}\right) - 2 b^{2} c^{2} \left(\frac{b \sqrt{- 4 a c + b^{2}} \left(3 a c - b^{2}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{a c - b^{2}}{4 c^{3}}\right)}{3 a b c - b^{3}} \right)} + \frac{x^{4}}{4 c}"," ",0,"-b*x**2/(2*c**2) + (-b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(4*c**3*(4*a*c - b**2)) - (a*c - b**2)/(4*c**3))*log(x**2 + (2*a**2*c - a*b**2 + 8*a*c**3*(-b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(4*c**3*(4*a*c - b**2)) - (a*c - b**2)/(4*c**3)) - 2*b**2*c**2*(-b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(4*c**3*(4*a*c - b**2)) - (a*c - b**2)/(4*c**3)))/(3*a*b*c - b**3)) + (b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(4*c**3*(4*a*c - b**2)) - (a*c - b**2)/(4*c**3))*log(x**2 + (2*a**2*c - a*b**2 + 8*a*c**3*(b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(4*c**3*(4*a*c - b**2)) - (a*c - b**2)/(4*c**3)) - 2*b**2*c**2*(b*sqrt(-4*a*c + b**2)*(3*a*c - b**2)/(4*c**3*(4*a*c - b**2)) - (a*c - b**2)/(4*c**3)))/(3*a*b*c - b**3)) + x**4/(4*c)","B",0
79,1,194,0,4.254053," ","integrate(x**7/(c*x**5+b*x**3+a*x),x)","- \frac{b x}{c^{2}} + \operatorname{RootSum} {\left(t^{4} \left(256 a^{2} c^{7} - 128 a b^{2} c^{6} + 16 b^{4} c^{5}\right) + t^{2} \left(- 80 a^{3} b c^{3} + 100 a^{2} b^{3} c^{2} - 36 a b^{5} c + 4 b^{7}\right) + a^{5}, \left( t \mapsto t \log{\left(x + \frac{- 64 t^{3} a^{2} c^{7} + 48 t^{3} a b^{2} c^{6} - 8 t^{3} b^{4} c^{5} + 14 t a^{3} b c^{3} - 28 t a^{2} b^{3} c^{2} + 14 t a b^{5} c - 2 t b^{7}}{a^{4} c^{2} - 3 a^{3} b^{2} c + a^{2} b^{4}} \right)} \right)\right)} + \frac{x^{3}}{3 c}"," ",0,"-b*x/c**2 + RootSum(_t**4*(256*a**2*c**7 - 128*a*b**2*c**6 + 16*b**4*c**5) + _t**2*(-80*a**3*b*c**3 + 100*a**2*b**3*c**2 - 36*a*b**5*c + 4*b**7) + a**5, Lambda(_t, _t*log(x + (-64*_t**3*a**2*c**7 + 48*_t**3*a*b**2*c**6 - 8*_t**3*b**4*c**5 + 14*_t*a**3*b*c**3 - 28*_t*a**2*b**3*c**2 + 14*_t*a*b**5*c - 2*_t*b**7)/(a**4*c**2 - 3*a**3*b**2*c + a**2*b**4)))) + x**3/(3*c)","A",0
80,1,316,0,1.949603," ","integrate(x**6/(c*x**5+b*x**3+a*x),x)","\left(- \frac{b}{4 c^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right) \log{\left(x^{2} + \frac{- a b - 8 a c^{2} \left(- \frac{b}{4 c^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right) + 2 b^{2} c \left(- \frac{b}{4 c^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right)}{2 a c - b^{2}} \right)} + \left(- \frac{b}{4 c^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right) \log{\left(x^{2} + \frac{- a b - 8 a c^{2} \left(- \frac{b}{4 c^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right) + 2 b^{2} c \left(- \frac{b}{4 c^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right)}{2 a c - b^{2}} \right)} + \frac{x^{2}}{2 c}"," ",0,"(-b/(4*c**2) - sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*c**2*(4*a*c - b**2)))*log(x**2 + (-a*b - 8*a*c**2*(-b/(4*c**2) - sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*c**2*(4*a*c - b**2))) + 2*b**2*c*(-b/(4*c**2) - sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*c**2*(4*a*c - b**2))))/(2*a*c - b**2)) + (-b/(4*c**2) + sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*c**2*(4*a*c - b**2)))*log(x**2 + (-a*b - 8*a*c**2*(-b/(4*c**2) + sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*c**2*(4*a*c - b**2))) + 2*b**2*c*(-b/(4*c**2) + sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*c**2*(4*a*c - b**2))))/(2*a*c - b**2)) + x**2/(2*c)","B",0
81,1,129,0,2.177001," ","integrate(x**5/(c*x**5+b*x**3+a*x),x)","\operatorname{RootSum} {\left(t^{4} \left(256 a^{2} c^{5} - 128 a b^{2} c^{4} + 16 b^{4} c^{3}\right) + t^{2} \left(48 a^{2} b c^{2} - 28 a b^{3} c + 4 b^{5}\right) + a^{3}, \left( t \mapsto t \log{\left(x + \frac{32 t^{3} a b c^{4} - 8 t^{3} b^{3} c^{3} - 4 t a^{2} c^{2} + 8 t a b^{2} c - 2 t b^{4}}{a^{2} c - a b^{2}} \right)} \right)\right)} + \frac{x}{c}"," ",0,"RootSum(_t**4*(256*a**2*c**5 - 128*a*b**2*c**4 + 16*b**4*c**3) + _t**2*(48*a**2*b*c**2 - 28*a*b**3*c + 4*b**5) + a**3, Lambda(_t, _t*log(x + (32*_t**3*a*b*c**4 - 8*_t**3*b**3*c**3 - 4*_t*a**2*c**2 + 8*_t*a*b**2*c - 2*_t*b**4)/(a**2*c - a*b**2)))) + x/c","A",0
82,1,223,0,0.918527," ","integrate(x**4/(c*x**5+b*x**3+a*x),x)","\left(- \frac{b \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)} + \frac{1}{4 c}\right) \log{\left(x^{2} + \frac{- 8 a c \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)} + \frac{1}{4 c}\right) + 2 a + 2 b^{2} \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)} + \frac{1}{4 c}\right)}{b} \right)} + \left(\frac{b \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)} + \frac{1}{4 c}\right) \log{\left(x^{2} + \frac{- 8 a c \left(\frac{b \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)} + \frac{1}{4 c}\right) + 2 a + 2 b^{2} \left(\frac{b \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)} + \frac{1}{4 c}\right)}{b} \right)}"," ",0,"(-b*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2)) + 1/(4*c))*log(x**2 + (-8*a*c*(-b*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2)) + 1/(4*c)) + 2*a + 2*b**2*(-b*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2)) + 1/(4*c)))/b) + (b*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2)) + 1/(4*c))*log(x**2 + (-8*a*c*(b*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2)) + 1/(4*c)) + 2*a + 2*b**2*(b*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2)) + 1/(4*c)))/b)","B",0
83,1,75,0,0.818743," ","integrate(x**3/(c*x**5+b*x**3+a*x),x)","\operatorname{RootSum} {\left(t^{4} \left(256 a^{2} c^{3} - 128 a b^{2} c^{2} + 16 b^{4} c\right) + t^{2} \left(- 16 a b c + 4 b^{3}\right) + a, \left( t \mapsto t \log{\left(64 t^{3} a c^{2} - 16 t^{3} b^{2} c - 2 t b + x \right)} \right)\right)}"," ",0,"RootSum(_t**4*(256*a**2*c**3 - 128*a*b**2*c**2 + 16*b**4*c) + _t**2*(-16*a*b*c + 4*b**3) + a, Lambda(_t, _t*log(64*_t**3*a*c**2 - 16*_t**3*b**2*c - 2*_t*b + x)))","A",0
84,1,131,0,0.495207," ","integrate(x**2/(c*x**5+b*x**3+a*x),x)","- \frac{\sqrt{- \frac{1}{4 a c - b^{2}}} \log{\left(x^{2} + \frac{- 4 a c \sqrt{- \frac{1}{4 a c - b^{2}}} + b^{2} \sqrt{- \frac{1}{4 a c - b^{2}}} + b}{2 c} \right)}}{2} + \frac{\sqrt{- \frac{1}{4 a c - b^{2}}} \log{\left(x^{2} + \frac{4 a c \sqrt{- \frac{1}{4 a c - b^{2}}} - b^{2} \sqrt{- \frac{1}{4 a c - b^{2}}} + b}{2 c} \right)}}{2}"," ",0,"-sqrt(-1/(4*a*c - b**2))*log(x**2 + (-4*a*c*sqrt(-1/(4*a*c - b**2)) + b**2*sqrt(-1/(4*a*c - b**2)) + b)/(2*c))/2 + sqrt(-1/(4*a*c - b**2))*log(x**2 + (4*a*c*sqrt(-1/(4*a*c - b**2)) - b**2*sqrt(-1/(4*a*c - b**2)) + b)/(2*c))/2","B",0
85,1,87,0,1.185012," ","integrate(x/(c*x**5+b*x**3+a*x),x)","\operatorname{RootSum} {\left(t^{4} \left(256 a^{3} c^{2} - 128 a^{2} b^{2} c + 16 a b^{4}\right) + t^{2} \left(- 16 a b c + 4 b^{3}\right) + c, \left( t \mapsto t \log{\left(x + \frac{32 t^{3} a^{2} b c - 8 t^{3} a b^{3} + 4 t a c - 2 t b^{2}}{c} \right)} \right)\right)}"," ",0,"RootSum(_t**4*(256*a**3*c**2 - 128*a**2*b**2*c + 16*a*b**4) + _t**2*(-16*a*b*c + 4*b**3) + c, Lambda(_t, _t*log(x + (32*_t**3*a**2*b*c - 8*_t**3*a*b**3 + 4*_t*a*c - 2*_t*b**2)/c)))","A",0
86,1,253,0,4.284474," ","integrate(1/(c*x**5+b*x**3+a*x),x)","\left(- \frac{b \sqrt{- 4 a c + b^{2}}}{4 a \left(4 a c - b^{2}\right)} - \frac{1}{4 a}\right) \log{\left(x^{2} + \frac{- 8 a^{2} c \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{4 a \left(4 a c - b^{2}\right)} - \frac{1}{4 a}\right) + 2 a b^{2} \left(- \frac{b \sqrt{- 4 a c + b^{2}}}{4 a \left(4 a c - b^{2}\right)} - \frac{1}{4 a}\right) - 2 a c + b^{2}}{b c} \right)} + \left(\frac{b \sqrt{- 4 a c + b^{2}}}{4 a \left(4 a c - b^{2}\right)} - \frac{1}{4 a}\right) \log{\left(x^{2} + \frac{- 8 a^{2} c \left(\frac{b \sqrt{- 4 a c + b^{2}}}{4 a \left(4 a c - b^{2}\right)} - \frac{1}{4 a}\right) + 2 a b^{2} \left(\frac{b \sqrt{- 4 a c + b^{2}}}{4 a \left(4 a c - b^{2}\right)} - \frac{1}{4 a}\right) - 2 a c + b^{2}}{b c} \right)} + \frac{\log{\left(x \right)}}{a}"," ",0,"(-b*sqrt(-4*a*c + b**2)/(4*a*(4*a*c - b**2)) - 1/(4*a))*log(x**2 + (-8*a**2*c*(-b*sqrt(-4*a*c + b**2)/(4*a*(4*a*c - b**2)) - 1/(4*a)) + 2*a*b**2*(-b*sqrt(-4*a*c + b**2)/(4*a*(4*a*c - b**2)) - 1/(4*a)) - 2*a*c + b**2)/(b*c)) + (b*sqrt(-4*a*c + b**2)/(4*a*(4*a*c - b**2)) - 1/(4*a))*log(x**2 + (-8*a**2*c*(b*sqrt(-4*a*c + b**2)/(4*a*(4*a*c - b**2)) - 1/(4*a)) + 2*a*b**2*(b*sqrt(-4*a*c + b**2)/(4*a*(4*a*c - b**2)) - 1/(4*a)) - 2*a*c + b**2)/(b*c)) + log(x)/a","B",0
87,1,148,0,2.623223," ","integrate(1/x/(c*x**5+b*x**3+a*x),x)","\operatorname{RootSum} {\left(t^{4} \left(256 a^{5} c^{2} - 128 a^{4} b^{2} c + 16 a^{3} b^{4}\right) + t^{2} \left(48 a^{2} b c^{2} - 28 a b^{3} c + 4 b^{5}\right) + c^{3}, \left( t \mapsto t \log{\left(x + \frac{- 64 t^{3} a^{5} c^{2} + 48 t^{3} a^{4} b^{2} c - 8 t^{3} a^{3} b^{4} - 10 t a^{2} b c^{2} + 10 t a b^{3} c - 2 t b^{5}}{a c^{3} - b^{2} c^{2}} \right)} \right)\right)} - \frac{1}{a x}"," ",0,"RootSum(_t**4*(256*a**5*c**2 - 128*a**4*b**2*c + 16*a**3*b**4) + _t**2*(48*a**2*b*c**2 - 28*a*b**3*c + 4*b**5) + c**3, Lambda(_t, _t*log(x + (-64*_t**3*a**5*c**2 + 48*_t**3*a**4*b**2*c - 8*_t**3*a**3*b**4 - 10*_t*a**2*b*c**2 + 10*_t*a*b**3*c - 2*_t*b**5)/(a*c**3 - b**2*c**2)))) - 1/(a*x)","A",0
88,1,345,0,123.748250," ","integrate(1/x**2/(c*x**5+b*x**3+a*x),x)","\left(\frac{b}{4 a^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 a^{2} \left(4 a c - b^{2}\right)}\right) \log{\left(x^{2} + \frac{- 8 a^{3} c \left(\frac{b}{4 a^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 a^{2} \left(4 a c - b^{2}\right)}\right) + 2 a^{2} b^{2} \left(\frac{b}{4 a^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 a^{2} \left(4 a c - b^{2}\right)}\right) + 3 a b c - b^{3}}{2 a c^{2} - b^{2} c} \right)} + \left(\frac{b}{4 a^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 a^{2} \left(4 a c - b^{2}\right)}\right) \log{\left(x^{2} + \frac{- 8 a^{3} c \left(\frac{b}{4 a^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 a^{2} \left(4 a c - b^{2}\right)}\right) + 2 a^{2} b^{2} \left(\frac{b}{4 a^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(2 a c - b^{2}\right)}{4 a^{2} \left(4 a c - b^{2}\right)}\right) + 3 a b c - b^{3}}{2 a c^{2} - b^{2} c} \right)} - \frac{1}{2 a x^{2}} - \frac{b \log{\left(x \right)}}{a^{2}}"," ",0,"(b/(4*a**2) - sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*a**2*(4*a*c - b**2)))*log(x**2 + (-8*a**3*c*(b/(4*a**2) - sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*a**2*(4*a*c - b**2))) + 2*a**2*b**2*(b/(4*a**2) - sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*a**2*(4*a*c - b**2))) + 3*a*b*c - b**3)/(2*a*c**2 - b**2*c)) + (b/(4*a**2) + sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*a**2*(4*a*c - b**2)))*log(x**2 + (-8*a**3*c*(b/(4*a**2) + sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*a**2*(4*a*c - b**2))) + 2*a**2*b**2*(b/(4*a**2) + sqrt(-4*a*c + b**2)*(2*a*c - b**2)/(4*a**2*(4*a*c - b**2))) + 3*a*b*c - b**3)/(2*a*c**2 - b**2*c)) - 1/(2*a*x**2) - b*log(x)/a**2","B",0
89,1,877,0,112.277942," ","integrate(x**11/(c*x**5+b*x**3+a*x)**2,x)","\left(- \frac{b}{2 c^{3}} - \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{2 c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) \log{\left(x^{2} + \frac{- 5 a^{2} b c - 16 a^{2} c^{4} \left(- \frac{b}{2 c^{3}} - \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{2 c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) + a b^{3} + 8 a b^{2} c^{3} \left(- \frac{b}{2 c^{3}} - \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{2 c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) - b^{4} c^{2} \left(- \frac{b}{2 c^{3}} - \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{2 c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right)}{6 a^{2} c^{2} - 6 a b^{2} c + b^{4}} \right)} + \left(- \frac{b}{2 c^{3}} + \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{2 c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) \log{\left(x^{2} + \frac{- 5 a^{2} b c - 16 a^{2} c^{4} \left(- \frac{b}{2 c^{3}} + \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{2 c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) + a b^{3} + 8 a b^{2} c^{3} \left(- \frac{b}{2 c^{3}} + \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{2 c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right) - b^{4} c^{2} \left(- \frac{b}{2 c^{3}} + \frac{\sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a^{2} c^{2} - 6 a b^{2} c + b^{4}\right)}{2 c^{3} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)}\right)}{6 a^{2} c^{2} - 6 a b^{2} c + b^{4}} \right)} + \frac{- 3 a^{2} b c + a b^{3} + x^{2} \left(2 a^{2} c^{2} - 4 a b^{2} c + b^{4}\right)}{8 a^{2} c^{4} - 2 a b^{2} c^{3} + x^{4} \left(8 a c^{5} - 2 b^{2} c^{4}\right) + x^{2} \left(8 a b c^{4} - 2 b^{3} c^{3}\right)} + \frac{x^{2}}{2 c^{2}}"," ",0,"(-b/(2*c**3) - sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(2*c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)))*log(x**2 + (-5*a**2*b*c - 16*a**2*c**4*(-b/(2*c**3) - sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(2*c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))) + a*b**3 + 8*a*b**2*c**3*(-b/(2*c**3) - sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(2*c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))) - b**4*c**2*(-b/(2*c**3) - sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(2*c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))))/(6*a**2*c**2 - 6*a*b**2*c + b**4)) + (-b/(2*c**3) + sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(2*c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)))*log(x**2 + (-5*a**2*b*c - 16*a**2*c**4*(-b/(2*c**3) + sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(2*c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))) + a*b**3 + 8*a*b**2*c**3*(-b/(2*c**3) + sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(2*c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))) - b**4*c**2*(-b/(2*c**3) + sqrt(-(4*a*c - b**2)**3)*(6*a**2*c**2 - 6*a*b**2*c + b**4)/(2*c**3*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6))))/(6*a**2*c**2 - 6*a*b**2*c + b**4)) + (-3*a**2*b*c + a*b**3 + x**2*(2*a**2*c**2 - 4*a*b**2*c + b**4))/(8*a**2*c**4 - 2*a*b**2*c**3 + x**4*(8*a*c**5 - 2*b**2*c**4) + x**2*(8*a*b*c**4 - 2*b**3*c**3)) + x**2/(2*c**2)","B",0
90,-1,0,0,0.000000," ","integrate(x**10/(c*x**5+b*x**3+a*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,1,745,0,19.764283," ","integrate(x**9/(c*x**5+b*x**3+a*x)**2,x)","\left(- \frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{4 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{4 c^{2}}\right) \log{\left(x^{2} + \frac{- 32 a^{2} c^{3} \left(- \frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{4 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{4 c^{2}}\right) + 8 a^{2} c + 16 a b^{2} c^{2} \left(- \frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{4 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{4 c^{2}}\right) - a b^{2} - 2 b^{4} c \left(- \frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{4 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{4 c^{2}}\right)}{6 a b c - b^{3}} \right)} + \left(\frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{4 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{4 c^{2}}\right) \log{\left(x^{2} + \frac{- 32 a^{2} c^{3} \left(\frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{4 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{4 c^{2}}\right) + 8 a^{2} c + 16 a b^{2} c^{2} \left(\frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{4 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{4 c^{2}}\right) - a b^{2} - 2 b^{4} c \left(\frac{b \sqrt{- \left(4 a c - b^{2}\right)^{3}} \left(6 a c - b^{2}\right)}{4 c^{2} \left(64 a^{3} c^{3} - 48 a^{2} b^{2} c^{2} + 12 a b^{4} c - b^{6}\right)} + \frac{1}{4 c^{2}}\right)}{6 a b c - b^{3}} \right)} + \frac{2 a^{2} c - a b^{2} + x^{2} \left(3 a b c - b^{3}\right)}{8 a^{2} c^{3} - 2 a b^{2} c^{2} + x^{4} \left(8 a c^{4} - 2 b^{2} c^{3}\right) + x^{2} \left(8 a b c^{3} - 2 b^{3} c^{2}\right)}"," ",0,"(-b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(4*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(4*c**2))*log(x**2 + (-32*a**2*c**3*(-b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(4*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(4*c**2)) + 8*a**2*c + 16*a*b**2*c**2*(-b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(4*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(4*c**2)) - a*b**2 - 2*b**4*c*(-b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(4*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(4*c**2)))/(6*a*b*c - b**3)) + (b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(4*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(4*c**2))*log(x**2 + (-32*a**2*c**3*(b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(4*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(4*c**2)) + 8*a**2*c + 16*a*b**2*c**2*(b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(4*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(4*c**2)) - a*b**2 - 2*b**4*c*(b*sqrt(-(4*a*c - b**2)**3)*(6*a*c - b**2)/(4*c**2*(64*a**3*c**3 - 48*a**2*b**2*c**2 + 12*a*b**4*c - b**6)) + 1/(4*c**2)))/(6*a*b*c - b**3)) + (2*a**2*c - a*b**2 + x**2*(3*a*b*c - b**3))/(8*a**2*c**3 - 2*a*b**2*c**2 + x**4*(8*a*c**4 - 2*b**2*c**3) + x**2*(8*a*b*c**3 - 2*b**3*c**2))","B",0
92,1,379,0,33.306893," ","integrate(x**8/(c*x**5+b*x**3+a*x)**2,x)","\frac{a b x + x^{3} \left(- 2 a c + b^{2}\right)}{8 a^{2} c^{2} - 2 a b^{2} c + x^{4} \left(8 a c^{3} - 2 b^{2} c^{2}\right) + x^{2} \left(8 a b c^{2} - 2 b^{3} c\right)} + \operatorname{RootSum} {\left(t^{4} \left(1048576 a^{6} c^{9} - 1572864 a^{5} b^{2} c^{8} + 983040 a^{4} b^{4} c^{7} - 327680 a^{3} b^{6} c^{6} + 61440 a^{2} b^{8} c^{5} - 6144 a b^{10} c^{4} + 256 b^{12} c^{3}\right) + t^{2} \left(- 61440 a^{5} b c^{5} + 61440 a^{4} b^{3} c^{4} - 24064 a^{3} b^{5} c^{3} + 4608 a^{2} b^{7} c^{2} - 432 a b^{9} c + 16 b^{11}\right) + 1296 a^{5} c^{2} - 360 a^{4} b^{2} c + 25 a^{3} b^{4}, \left( t \mapsto t \log{\left(x + \frac{49152 t^{3} a^{4} c^{7} - 40960 t^{3} a^{3} b^{2} c^{6} + 12288 t^{3} a^{2} b^{4} c^{5} - 1536 t^{3} a b^{6} c^{4} + 64 t^{3} b^{8} c^{3} - 1728 t a^{3} b c^{3} + 656 t a^{2} b^{3} c^{2} - 88 t a b^{5} c + 4 t b^{7}}{324 a^{3} c^{2} - 81 a^{2} b^{2} c + 5 a b^{4}} \right)} \right)\right)}"," ",0,"(a*b*x + x**3*(-2*a*c + b**2))/(8*a**2*c**2 - 2*a*b**2*c + x**4*(8*a*c**3 - 2*b**2*c**2) + x**2*(8*a*b*c**2 - 2*b**3*c)) + RootSum(_t**4*(1048576*a**6*c**9 - 1572864*a**5*b**2*c**8 + 983040*a**4*b**4*c**7 - 327680*a**3*b**6*c**6 + 61440*a**2*b**8*c**5 - 6144*a*b**10*c**4 + 256*b**12*c**3) + _t**2*(-61440*a**5*b*c**5 + 61440*a**4*b**3*c**4 - 24064*a**3*b**5*c**3 + 4608*a**2*b**7*c**2 - 432*a*b**9*c + 16*b**11) + 1296*a**5*c**2 - 360*a**4*b**2*c + 25*a**3*b**4, Lambda(_t, _t*log(x + (49152*_t**3*a**4*c**7 - 40960*_t**3*a**3*b**2*c**6 + 12288*_t**3*a**2*b**4*c**5 - 1536*_t**3*a*b**6*c**4 + 64*_t**3*b**8*c**3 - 1728*_t*a**3*b*c**3 + 656*_t*a**2*b**3*c**2 - 88*_t*a*b**5*c + 4*_t*b**7)/(324*a**3*c**2 - 81*a**2*b**2*c + 5*a*b**4))))","A",0
93,1,282,0,1.516821," ","integrate(x**7/(c*x**5+b*x**3+a*x)**2,x)","- a \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x^{2} + \frac{- 16 a^{3} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 8 a^{2} b^{2} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - a b^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + a b}{2 a c} \right)} + a \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x^{2} + \frac{16 a^{3} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - 8 a^{2} b^{2} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + a b^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + a b}{2 a c} \right)} + \frac{a b + x^{2} \left(- 2 a c + b^{2}\right)}{8 a^{2} c^{2} - 2 a b^{2} c + x^{4} \left(8 a c^{3} - 2 b^{2} c^{2}\right) + x^{2} \left(8 a b c^{2} - 2 b^{3} c\right)}"," ",0,"-a*sqrt(-1/(4*a*c - b**2)**3)*log(x**2 + (-16*a**3*c**2*sqrt(-1/(4*a*c - b**2)**3) + 8*a**2*b**2*c*sqrt(-1/(4*a*c - b**2)**3) - a*b**4*sqrt(-1/(4*a*c - b**2)**3) + a*b)/(2*a*c)) + a*sqrt(-1/(4*a*c - b**2)**3)*log(x**2 + (16*a**3*c**2*sqrt(-1/(4*a*c - b**2)**3) - 8*a**2*b**2*c*sqrt(-1/(4*a*c - b**2)**3) + a*b**4*sqrt(-1/(4*a*c - b**2)**3) + a*b)/(2*a*c)) + (a*b + x**2*(-2*a*c + b**2))/(8*a**2*c**2 - 2*a*b**2*c + x**4*(8*a*c**3 - 2*b**2*c**2) + x**2*(8*a*b*c**2 - 2*b**3*c))","B",0
94,1,296,0,4.546519," ","integrate(x**6/(c*x**5+b*x**3+a*x)**2,x)","\frac{- 2 a x - b x^{3}}{8 a^{2} c - 2 a b^{2} + x^{4} \left(8 a c^{2} - 2 b^{2} c\right) + x^{2} \left(8 a b c - 2 b^{3}\right)} + \operatorname{RootSum} {\left(t^{4} \left(1048576 a^{6} c^{7} - 1572864 a^{5} b^{2} c^{6} + 983040 a^{4} b^{4} c^{5} - 327680 a^{3} b^{6} c^{4} + 61440 a^{2} b^{8} c^{3} - 6144 a b^{10} c^{2} + 256 b^{12} c\right) + t^{2} \left(- 12288 a^{4} b c^{4} + 8192 a^{3} b^{3} c^{3} - 1536 a^{2} b^{5} c^{2} + 16 b^{9}\right) + 16 a^{3} c^{2} + 24 a^{2} b^{2} c + 9 a b^{4}, \left( t \mapsto t \log{\left(x + \frac{16384 t^{3} a^{3} b c^{4} - 12288 t^{3} a^{2} b^{3} c^{3} + 3072 t^{3} a b^{5} c^{2} - 256 t^{3} b^{7} c + 64 t a^{2} c^{2} - 128 t a b^{2} c - 4 t b^{4}}{4 a c + 3 b^{2}} \right)} \right)\right)}"," ",0,"(-2*a*x - b*x**3)/(8*a**2*c - 2*a*b**2 + x**4*(8*a*c**2 - 2*b**2*c) + x**2*(8*a*b*c - 2*b**3)) + RootSum(_t**4*(1048576*a**6*c**7 - 1572864*a**5*b**2*c**6 + 983040*a**4*b**4*c**5 - 327680*a**3*b**6*c**4 + 61440*a**2*b**8*c**3 - 6144*a*b**10*c**2 + 256*b**12*c) + _t**2*(-12288*a**4*b*c**4 + 8192*a**3*b**3*c**3 - 1536*a**2*b**5*c**2 + 16*b**9) + 16*a**3*c**2 + 24*a**2*b**2*c + 9*a*b**4, Lambda(_t, _t*log(x + (16384*_t**3*a**3*b*c**4 - 12288*_t**3*a**2*b**3*c**3 + 3072*_t**3*a*b**5*c**2 - 256*_t**3*b**7*c + 64*_t*a**2*c**2 - 128*_t*a*b**2*c - 4*_t*b**4)/(4*a*c + 3*b**2))))","A",0
95,1,269,0,1.359657," ","integrate(x**5/(c*x**5+b*x**3+a*x)**2,x)","\frac{b \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x^{2} + \frac{- 16 a^{2} b c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 8 a b^{3} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - b^{5} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + b^{2}}{2 b c} \right)}}{2} - \frac{b \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x^{2} + \frac{16 a^{2} b c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - 8 a b^{3} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + b^{5} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + b^{2}}{2 b c} \right)}}{2} + \frac{- 2 a - b x^{2}}{8 a^{2} c - 2 a b^{2} + x^{4} \left(8 a c^{2} - 2 b^{2} c\right) + x^{2} \left(8 a b c - 2 b^{3}\right)}"," ",0,"b*sqrt(-1/(4*a*c - b**2)**3)*log(x**2 + (-16*a**2*b*c**2*sqrt(-1/(4*a*c - b**2)**3) + 8*a*b**3*c*sqrt(-1/(4*a*c - b**2)**3) - b**5*sqrt(-1/(4*a*c - b**2)**3) + b**2)/(2*b*c))/2 - b*sqrt(-1/(4*a*c - b**2)**3)*log(x**2 + (16*a**2*b*c**2*sqrt(-1/(4*a*c - b**2)**3) - 8*a*b**3*c*sqrt(-1/(4*a*c - b**2)**3) + b**5*sqrt(-1/(4*a*c - b**2)**3) + b**2)/(2*b*c))/2 + (-2*a - b*x**2)/(8*a**2*c - 2*a*b**2 + x**4*(8*a*c**2 - 2*b**2*c) + x**2*(8*a*b*c - 2*b**3))","B",0
96,1,298,0,13.167933," ","integrate(x**4/(c*x**5+b*x**3+a*x)**2,x)","\frac{b x + 2 c x^{3}}{8 a^{2} c - 2 a b^{2} + x^{4} \left(8 a c^{2} - 2 b^{2} c\right) + x^{2} \left(8 a b c - 2 b^{3}\right)} + \operatorname{RootSum} {\left(t^{4} \left(1048576 a^{7} c^{6} - 1572864 a^{6} b^{2} c^{5} + 983040 a^{5} b^{4} c^{4} - 327680 a^{4} b^{6} c^{3} + 61440 a^{3} b^{8} c^{2} - 6144 a^{2} b^{10} c + 256 a b^{12}\right) + t^{2} \left(- 12288 a^{4} b c^{4} + 8192 a^{3} b^{3} c^{3} - 1536 a^{2} b^{5} c^{2} + 16 b^{9}\right) + 16 a^{2} c^{3} + 24 a b^{2} c^{2} + 9 b^{4} c, \left( t \mapsto t \log{\left(x + \frac{16384 t^{3} a^{5} c^{4} - 8192 t^{3} a^{4} b^{2} c^{3} + 512 t^{3} a^{2} b^{6} c - 64 t^{3} a b^{8} - 128 t a^{2} b c^{2} - 16 t a b^{3} c - 4 t b^{5}}{4 a c^{2} + 3 b^{2} c} \right)} \right)\right)}"," ",0,"(b*x + 2*c*x**3)/(8*a**2*c - 2*a*b**2 + x**4*(8*a*c**2 - 2*b**2*c) + x**2*(8*a*b*c - 2*b**3)) + RootSum(_t**4*(1048576*a**7*c**6 - 1572864*a**6*b**2*c**5 + 983040*a**5*b**4*c**4 - 327680*a**4*b**6*c**3 + 61440*a**3*b**8*c**2 - 6144*a**2*b**10*c + 256*a*b**12) + _t**2*(-12288*a**4*b*c**4 + 8192*a**3*b**3*c**3 - 1536*a**2*b**5*c**2 + 16*b**9) + 16*a**2*c**3 + 24*a*b**2*c**2 + 9*b**4*c, Lambda(_t, _t*log(x + (16384*_t**3*a**5*c**4 - 8192*_t**3*a**4*b**2*c**3 + 512*_t**3*a**2*b**6*c - 64*_t**3*a*b**8 - 128*_t*a**2*b*c**2 - 16*_t*a*b**3*c - 4*_t*b**5)/(4*a*c**2 + 3*b**2*c))))","A",0
97,1,267,0,1.276693," ","integrate(x**3/(c*x**5+b*x**3+a*x)**2,x)","- c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x^{2} + \frac{- 16 a^{2} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + 8 a b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - b^{4} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + b c}{2 c^{2}} \right)} + c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \log{\left(x^{2} + \frac{16 a^{2} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} - 8 a b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + b^{4} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} + b c}{2 c^{2}} \right)} + \frac{b + 2 c x^{2}}{8 a^{2} c - 2 a b^{2} + x^{4} \left(8 a c^{2} - 2 b^{2} c\right) + x^{2} \left(8 a b c - 2 b^{3}\right)}"," ",0,"-c*sqrt(-1/(4*a*c - b**2)**3)*log(x**2 + (-16*a**2*c**3*sqrt(-1/(4*a*c - b**2)**3) + 8*a*b**2*c**2*sqrt(-1/(4*a*c - b**2)**3) - b**4*c*sqrt(-1/(4*a*c - b**2)**3) + b*c)/(2*c**2)) + c*sqrt(-1/(4*a*c - b**2)**3)*log(x**2 + (16*a**2*c**3*sqrt(-1/(4*a*c - b**2)**3) - 8*a*b**2*c**2*sqrt(-1/(4*a*c - b**2)**3) + b**4*c*sqrt(-1/(4*a*c - b**2)**3) + b*c)/(2*c**2)) + (b + 2*c*x**2)/(8*a**2*c - 2*a*b**2 + x**4*(8*a*c**2 - 2*b**2*c) + x**2*(8*a*b*c - 2*b**3))","B",0
98,1,394,0,165.893455," ","integrate(x**2/(c*x**5+b*x**3+a*x)**2,x)","\frac{- b c x^{3} + x \left(2 a c - b^{2}\right)}{8 a^{3} c - 2 a^{2} b^{2} + x^{4} \left(8 a^{2} c^{2} - 2 a b^{2} c\right) + x^{2} \left(8 a^{2} b c - 2 a b^{3}\right)} + \operatorname{RootSum} {\left(t^{4} \left(1048576 a^{9} c^{6} - 1572864 a^{8} b^{2} c^{5} + 983040 a^{7} b^{4} c^{4} - 327680 a^{6} b^{6} c^{3} + 61440 a^{5} b^{8} c^{2} - 6144 a^{4} b^{10} c + 256 a^{3} b^{12}\right) + t^{2} \left(- 61440 a^{5} b c^{5} + 61440 a^{4} b^{3} c^{4} - 24064 a^{3} b^{5} c^{3} + 4608 a^{2} b^{7} c^{2} - 432 a b^{9} c + 16 b^{11}\right) + 1296 a^{2} c^{5} - 360 a b^{2} c^{4} + 25 b^{4} c^{3}, \left( t \mapsto t \log{\left(x + \frac{32768 t^{3} a^{7} b c^{4} - 28672 t^{3} a^{6} b^{3} c^{3} + 9216 t^{3} a^{5} b^{5} c^{2} - 1280 t^{3} a^{4} b^{7} c + 64 t^{3} a^{3} b^{9} + 1728 t a^{4} c^{4} - 2304 t a^{3} b^{2} c^{3} + 740 t a^{2} b^{4} c^{2} - 92 t a b^{6} c + 4 t b^{8}}{324 a^{2} c^{4} - 81 a b^{2} c^{3} + 5 b^{4} c^{2}} \right)} \right)\right)}"," ",0,"(-b*c*x**3 + x*(2*a*c - b**2))/(8*a**3*c - 2*a**2*b**2 + x**4*(8*a**2*c**2 - 2*a*b**2*c) + x**2*(8*a**2*b*c - 2*a*b**3)) + RootSum(_t**4*(1048576*a**9*c**6 - 1572864*a**8*b**2*c**5 + 983040*a**7*b**4*c**4 - 327680*a**6*b**6*c**3 + 61440*a**5*b**8*c**2 - 6144*a**4*b**10*c + 256*a**3*b**12) + _t**2*(-61440*a**5*b*c**5 + 61440*a**4*b**3*c**4 - 24064*a**3*b**5*c**3 + 4608*a**2*b**7*c**2 - 432*a*b**9*c + 16*b**11) + 1296*a**2*c**5 - 360*a*b**2*c**4 + 25*b**4*c**3, Lambda(_t, _t*log(x + (32768*_t**3*a**7*b*c**4 - 28672*_t**3*a**6*b**3*c**3 + 9216*_t**3*a**5*b**5*c**2 - 1280*_t**3*a**4*b**7*c + 64*_t**3*a**3*b**9 + 1728*_t*a**4*c**4 - 2304*_t*a**3*b**2*c**3 + 740*_t*a**2*b**4*c**2 - 92*_t*a*b**6*c + 4*_t*b**8)/(324*a**2*c**4 - 81*a*b**2*c**3 + 5*b**4*c**2))))","A",0
99,-1,0,0,0.000000," ","integrate(x/(c*x**5+b*x**3+a*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
100,-1,0,0,0.000000," ","integrate(1/(c*x**5+b*x**3+a*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate(1/x/(c*x**5+b*x**3+a*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,-1,0,0,0.000000," ","integrate(1/x**2/(c*x**5+b*x**3+a*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
103,-1,0,0,0.000000," ","integrate(1/x**3/(c*x**5+b*x**3+a*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
104,0,0,0,0.000000," ","integrate(x/(c*x**5+b*x**3+a*x)**(1/2),x)","\int \frac{x}{\sqrt{x \left(a + b x^{2} + c x^{4}\right)}}\, dx"," ",0,"Integral(x/sqrt(x*(a + b*x**2 + c*x**4)), x)","F",0
105,0,0,0,0.000000," ","integrate(x**(3/2)*(c*x**5+b*x**3+a*x)**(1/2),x)","\int x^{\frac{3}{2}} \sqrt{x \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(x**(3/2)*sqrt(x*(a + b*x**2 + c*x**4)), x)","F",0
106,0,0,0,0.000000," ","integrate(x**(1/2)*(c*x**5+b*x**3+a*x)**(1/2),x)","\int \sqrt{x} \sqrt{x \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(sqrt(x)*sqrt(x*(a + b*x**2 + c*x**4)), x)","F",0
107,0,0,0,0.000000," ","integrate((c*x**5+b*x**3+a*x)**(1/2)/x**(1/2),x)","\int \frac{\sqrt{x \left(a + b x^{2} + c x^{4}\right)}}{\sqrt{x}}\, dx"," ",0,"Integral(sqrt(x*(a + b*x**2 + c*x**4))/sqrt(x), x)","F",0
108,0,0,0,0.000000," ","integrate((c*x**5+b*x**3+a*x)**(1/2)/x**(3/2),x)","\int \frac{\sqrt{x \left(a + b x^{2} + c x^{4}\right)}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(x*(a + b*x**2 + c*x**4))/x**(3/2), x)","F",0
109,-1,0,0,0.000000," ","integrate(x**(3/2)*(c*x**5+b*x**3+a*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
110,0,0,0,0.000000," ","integrate((c*x**5+b*x**3+a*x)**(3/2)*x**(1/2),x)","\int \sqrt{x} \left(x \left(a + b x^{2} + c x^{4}\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(sqrt(x)*(x*(a + b*x**2 + c*x**4))**(3/2), x)","F",0
111,0,0,0,0.000000," ","integrate((c*x**5+b*x**3+a*x)**(3/2)/x**(1/2),x)","\int \frac{\left(x \left(a + b x^{2} + c x^{4}\right)\right)^{\frac{3}{2}}}{\sqrt{x}}\, dx"," ",0,"Integral((x*(a + b*x**2 + c*x**4))**(3/2)/sqrt(x), x)","F",0
112,0,0,0,0.000000," ","integrate((c*x**5+b*x**3+a*x)**(3/2)/x**(3/2),x)","\int \frac{\left(x \left(a + b x^{2} + c x^{4}\right)\right)^{\frac{3}{2}}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral((x*(a + b*x**2 + c*x**4))**(3/2)/x**(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate(x**(3/2)/(c*x**5+b*x**3+a*x)**(1/2),x)","\int \frac{x^{\frac{3}{2}}}{\sqrt{x \left(a + b x^{2} + c x^{4}\right)}}\, dx"," ",0,"Integral(x**(3/2)/sqrt(x*(a + b*x**2 + c*x**4)), x)","F",0
114,0,0,0,0.000000," ","integrate(x**(1/2)/(c*x**5+b*x**3+a*x)**(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{x \left(a + b x^{2} + c x^{4}\right)}}\, dx"," ",0,"Integral(sqrt(x)/sqrt(x*(a + b*x**2 + c*x**4)), x)","F",0
115,0,0,0,0.000000," ","integrate(1/x**(1/2)/(c*x**5+b*x**3+a*x)**(1/2),x)","\int \frac{1}{\sqrt{x} \sqrt{x \left(a + b x^{2} + c x^{4}\right)}}\, dx"," ",0,"Integral(1/(sqrt(x)*sqrt(x*(a + b*x**2 + c*x**4))), x)","F",0
116,0,0,0,0.000000," ","integrate(1/x**(3/2)/(c*x**5+b*x**3+a*x)**(1/2),x)","\int \frac{1}{x^{\frac{3}{2}} \sqrt{x \left(a + b x^{2} + c x^{4}\right)}}\, dx"," ",0,"Integral(1/(x**(3/2)*sqrt(x*(a + b*x**2 + c*x**4))), x)","F",0
117,-1,0,0,0.000000," ","integrate(x**(3/2)/(c*x**5+b*x**3+a*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,0,0,0,0.000000," ","integrate(x**(1/2)/(c*x**5+b*x**3+a*x)**(3/2),x)","\int \frac{\sqrt{x}}{\left(x \left(a + b x^{2} + c x^{4}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(x)/(x*(a + b*x**2 + c*x**4))**(3/2), x)","F",0
119,0,0,0,0.000000," ","integrate(1/(c*x**5+b*x**3+a*x)**(3/2)/x**(1/2),x)","\int \frac{1}{\sqrt{x} \left(x \left(a + b x^{2} + c x^{4}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(x)*(x*(a + b*x**2 + c*x**4))**(3/2)), x)","F",0
120,0,0,0,0.000000," ","integrate(1/x**(3/2)/(c*x**5+b*x**3+a*x)**(3/2),x)","\int \frac{1}{x^{\frac{3}{2}} \left(x \left(a + b x^{2} + c x^{4}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**(3/2)*(x*(a + b*x**2 + c*x**4))**(3/2)), x)","F",0
121,-1,0,0,0.000000," ","integrate(x**(-3/2+3/2*n)/(a*x**(-1+n)+b*x**n+c*x**(1+n))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,0,0,0,0.000000," ","integrate(x*(e*x**2+d)/(c*x**5+b*x**3+a*x)**(1/2),x)","\int \frac{x \left(d + e x^{2}\right)}{\sqrt{x \left(a + b x^{2} + c x^{4}\right)}}\, dx"," ",0,"Integral(x*(d + e*x**2)/sqrt(x*(a + b*x**2 + c*x**4)), x)","F",0
123,0,0,0,0.000000," ","integrate(1/(x**6-3*x**4+3*x**2)**(1/2),x)","\int \frac{1}{\sqrt{x^{6} - 3 x^{4} + 3 x^{2}}}\, dx"," ",0,"Integral(1/sqrt(x**6 - 3*x**4 + 3*x**2), x)","F",0
124,0,0,0,0.000000," ","integrate(1/(x**2*(x**4-3*x**2+3))**(1/2),x)","\int \frac{1}{\sqrt{x^{2} \left(x^{4} - 3 x^{2} + 3\right)}}\, dx"," ",0,"Integral(1/sqrt(x**2*(x**4 - 3*x**2 + 3)), x)","F",0
125,0,0,0,0.000000," ","integrate(1/(1-(-x**2+1)**3)**(1/2),x)","\int \frac{1}{\sqrt{1 - \left(1 - x^{2}\right)^{3}}}\, dx"," ",0,"Integral(1/sqrt(1 - (1 - x**2)**3), x)","F",0
126,0,0,0,0.000000," ","integrate((x**6-3*x**4+3*x**2)**(1/2),x)","\int \sqrt{x^{6} - 3 x^{4} + 3 x^{2}}\, dx"," ",0,"Integral(sqrt(x**6 - 3*x**4 + 3*x**2), x)","F",0
127,-1,0,0,0.000000," ","integrate((x**2*(x**4-3*x**2+3))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,0,0,0,0.000000," ","integrate((1-(-x**2+1)**3)**(1/2),x)","\int \sqrt{1 - \left(1 - x^{2}\right)^{3}}\, dx"," ",0,"Integral(sqrt(1 - (1 - x**2)**3), x)","F",0
129,0,0,0,0.000000," ","integrate(1/x/(c*x**2+b*x+a)**(1/2),x)","\int \frac{1}{x \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"Integral(1/(x*sqrt(a + b*x + c*x**2)), x)","F",0
130,0,0,0,0.000000," ","integrate(1/(x**2*(c*x**2+b*x+a))**(1/2),x)","\int \frac{1}{\sqrt{x^{2} \left(a + b x + c x^{2}\right)}}\, dx"," ",0,"Integral(1/sqrt(x**2*(a + b*x + c*x**2)), x)","F",0
131,-1,0,0,0.000000," ","integrate(1/x**(1/2)/(x*(c*x**2+b*x+a))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate(x**(1/2)/(x**3*(c*x**2+b*x+a))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,0,0,0,0.000000," ","integrate(1/x/(c*x**4+b*x**2+a)**(1/2),x)","\int \frac{1}{x \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(1/(x*sqrt(a + b*x**2 + c*x**4)), x)","F",0
134,-1,0,0,0.000000," ","integrate(1/(x**2*(c*x**4+b*x**2+a))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,-1,0,0,0.000000," ","integrate(1/x**(1/2)/(x*(c*x**4+b*x**2+a))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,-1,0,0,0.000000," ","integrate(x**(1/2)/(x**3*(c*x**4+b*x**2+a))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,0,0,0,0.000000," ","integrate(1/x/(x**4-3*x**2+3)**(1/2),x)","\int \frac{1}{x \sqrt{x^{4} - 3 x^{2} + 3}}\, dx"," ",0,"Integral(1/(x*sqrt(x**4 - 3*x**2 + 3)), x)","F",0
138,0,0,0,0.000000," ","integrate(1/(x**2*(x**4-3*x**2+3))**(1/2),x)","\int \frac{1}{\sqrt{x^{2} \left(x^{4} - 3 x^{2} + 3\right)}}\, dx"," ",0,"Integral(1/sqrt(x**2*(x**4 - 3*x**2 + 3)), x)","F",0
139,-1,0,0,0.000000," ","integrate(1/x**(1/2)/(x*(x**2-3*x+3))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,-1,0,0,0.000000," ","integrate(x**(-1+1/2*q)/(b*x**n+c*x**(2*n-q)+a*x**q)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
