Let l(c) = 3*c**2 - 6*c + 8. Let s(w) be the second derivative of -w**4/12 + 3*w + 9. Let r(z) = -l(z) - 2*s(z). Factor r(v).

Suppose -152*p - 24*p2 + 3*p3 + 7*p3 - 3546 + 3386 + 2*p4 = 0. What is p?

-5, -2, 4

Let r(v) be the third derivative of -¹⁄₁₀₅*v6 + ¹⁄₇₀*v5 - ⁴⁄₂₁*v3 + 0*v + ¹⁄₂₁*v4 + 0 + 76*v2 + ¹⁄₇₃₅*v7. Factor r(f).

2*(f - 2)*2(f - 1)*(f + 1)/7

Factor 16*k - ¹⁴²⁄₉ - ²⁄₉*k**2.

-2(k - 71)(k - 1)/9

Suppose 2*q - 33 = -3*r, 4 = r + 1. Let p be 27/q*4 + -7. Find x, given that -3*x - ⁵⁄₃*x**p - ⁴⁄₃ = 0.

-1, -⁴⁄₅

Suppose x = -5*j - 17, -x - 2*j = 2*j + 12. Let w be (-2)/(-14)9(x + -7). What is t in ²⁄₇*t + 0 + w*t2 + t3 = 0?

-1, -²⁄₇, 0

Suppose 12 + ²⁄₃*k**2 + ²²⁄₃*k = 0. Calculate k.

-9, -2

Factor -10*a3 + a4 - 11*a2 - 4*a3 + 2422*a - 2404*a + 6*a**3.

a(a - 9)(a - 1)*(a + 2)

Let g = -82673 - -82676. Factor ³⁄₄*m4 + 12*m2 + 0*m + 0 + 6*m**g.

3*m2*(m + 4)²⁄₄

Factor -¹⁄₂*r3 - 53 - 28*r2 - ¹⁶¹⁄₂*r.

-(r + 1)(r + 2)(r + 53)/2

Let v = -129 + 161. Suppose -3*f + v = 23. Find b such that -f - ⁷⁄₆*b3 - ²²⁄₃*b2 - ²⁵⁄₂*b = 0.

-3, -²⁄₇