Let f(k) = k**2 + 65*k + 56. Let w(h) = -h**2 - 2*h + 1. Let b(v) = f(v) + 4*w(v). Factor b(c).

Factor -448*u2 - 12*u3 - u5 - 23*u4 - 46*u - 82*u - 156*u**3 + 768.

-(u - 1)*(u + 4)*3(u + 12)

Let j(h) be the first derivative of -64 + ¹⁰⁄₂₇*h3 - ¹⁄₃₆*h4 - ¹⁄₅₄*h6 + ²⁄₉*h2 - ⁴⁄₄₅*h**5 - ⁸⁄₉*h. Factor j(v).

-(v - 1)2*(v + 2)³⁄₉

Let y(f) = 15*f2 - 2. Let l be y(-1). Suppose -l = -3*a - 1. Factor 180*g4 - 7 + 35*g + 25*g3 - 185*ga - 45*g**2 - 3.

-5(g - 2)(g - 1)**3

Let d(s) be the first derivative of 0*s - s4 - ⁸⁸⁄₃*s3 - 242*s**2 + 47. Factor d®.

-4r(r + 11)**2

Let u = -¹⁷⁶¹⁄₈₆₈ + ²⁸⁷⁄₁₂₄. Solve ⁸⁄₇ + 0*b - u*b3 + ⁶⁄₇*b4 - 2*b2 + ²⁄₇*b5 = 0 for b.

-2, -1, 1

Let t = -54 + 46. Let h = t + ¹³⁸⁄₁₇. Find v, given that -⁴⁄₁₇*v + 0 + h*v**2 = 0.

0, 2

Let s(n) be the third derivative of n⁵⁄₃₀ + 11*n⁴⁄₁₂ - 34*n3 + 2*n2 - 73. Solve s(o) = 0 for o.

-17, 6

Let o = 192 + -84. Factor 116*z + 3*z3 - 12*z - 42*z + 82*z - 39*z2 - o.

3*(z - 6)*2(z - 1)

Factor -²⁄₁₇*x**2 + ¹²⁄₁₇ + ¹⁰⁄₁₇*x.

-2(x - 6)(x + 1)/17

Let w = 48060 + -³⁸⁴⁴⁷⁷⁄₈. Let m be 8/(-12) - 25/(-24). Factor w + ³⁄₄*z + m*z**2.

3*(z + 1)**²⁄₈