Let x(u) be the first derivative of 2*u**3/3 + 70*u**2 + 898. Factor x(r).

Let c(u) be the first derivative of u4 - 56*u³⁄₃ + 48*u**2 - 1561. Suppose c(o) = 0. What is o?

0, 2, 12

Factor i4 - 902*i3 - 13189*i + 268*i3 + 5242*i5 + 9317 + 4466*i2 + 40*i4 - 5243*i**5.

-(i - 11)*3(i - 7)*(i - 1)

Solve ¹²⁄₅ + ⁹⁄₅*b2 + ⁸¹⁄₅*b3 - 12*b = 0.

-1, ²⁄₉, ²⁄₃

Let r(p) be the first derivative of p5 + 5*p4 - 245*p³⁄₃ + 260*p2 - 300*p + 1428. Let r(d) = 0. What is d?

-10, 1, 2, 3

Factor 23*m2 - 69 - 27*m2 + m3 + 706 + 231*m - 4*m2 + 35*m**2.

(m + 7)*2(m + 13)

Let j = -101887 - -^1528313⁄₁₅. Find i, given that ⁸⁄₁₅*i3 + ²⁄₁₅*i4 + j*i**2 + 0 + 0*i = 0.

-2, 0

Let p = 4 + -2. Let i = ²¹⁄₄₀ + ¹⁵⁄₈. Factor -4*qp + 0 - ⁶⁄₅*q - ²⁄₅*q5 - ²⁴⁄₅*q3 - i*q4.

-2q(q + 1)*3(q + 3)/5

Let i be ¹¹⁹⁴⁰⁄₉₉₅ + (-1)/((-4)/(-47)). Factor 6*t - 4 - i*t4 - ¹⁄₄*t2 - ³⁄₂*t**3.

-(t - 1)2*(t + 4)²⁄₄

Factor ¹⁵⁴⁄₁₉*o2 + ¹⁶⁰⁄₁₉*o + 2*o3 + ⁸⁄₁₉.

2*(o + 2)*2(19*o + 1)/19

Find p such that -41*p - 8*p - 9*p3 + 14*p2 + 24 + 7*p**3 + 17*p = 0.

2, 3