Let f(p) be the first derivative of p**6/9 - 56*p**5/15 + 17*p**4 - 296*p**3/9 + 97*p**2/3 - 16*p + 322. Factor f(k).

Let f(k) = k2 + 65*k + 56. Let w(h) = -h2 - 2*h + 1. Let b(v) = f(v) + 4*w(v). Factor b©.

-3(c - 20)(c + 1)

Suppose 2*t = 5*q - 5, 251*q - 255*q + 3*t - 3 = 0. Factor -¹⁸⁄₇*o2 + ⁵⁰⁄₇ + ³⁰⁄₇*o + ²⁄₇*oq.

2*(o - 5)*2(o + 1)/7

Suppose -3*v + 5*i = 52, 0i = i - 5. Let x be -3(-2)/v*-3. Find z, given that -2*zx - 16 - 22 + 2*z4 + 38 = 0.

-1, 0, 1

Let m(a) be the first derivative of 3*a⁴⁄₄ - 10*a3 - 51*a**²⁄₂ + 198*a + 36. Factor m(f).

3(f - 11)(f - 2)*(f + 3)

Factor ³⁄₇*v**2 + ⁴³⁸⁄₇*v + 0.

3v(v + 146)/7

Let v(d) be the first derivative of 2*d³⁄₂₁ - d2 - 190. Find b, given that v(b) = 0.

0, 7

Let k(h) be the first derivative of 2*h⁶⁄₃ + 48*h⁵⁄₂₅ - h⁴⁄₅ - 16*h³⁄₅ - 8*h**²⁄₅ + 643. Suppose k© = 0. What is c?

-2, -1, -²⁄₅, 0, 1

Factor 0 + ²⁶⁄₇*y3 - ²⁄₇*y - ²⁴⁄₇*y2.

2y(y - 1)*(13*y + 1)/7

Let c(n) = n3 + 2*n2 - 2*n + 6. Let x(v) be the first derivative of -v³⁄₃ + v²⁄₂ - v + 3. Let r = -112 + 113. Let k(d) = r*c(d) + 6*x(d). Factor k(p).

p*(p - 2)**2

Suppose 5 = 3*v - 4. Let x = ¹⁴⁰⁄₂₄₈₇ + ⁵⁰⁶⁄₈₂₉. Factor ²⁄₃*j2 - 8 - x*jv + ¹⁶⁄₃*j.

-2*(j - 2)*2(j + 3)/3