Let v(w) = w**3 - w - 1. Let j(p) = -4*p**3 + 6 - 2*p**5 + p**5 - p**5 + 5*p + p**5. Suppose -3*n - n + 4 = 0. Let k(m) = n*j(m) + 6*v(m). Factor k(y).

Let q be (-17)/(-3) + 6/(-9). Let 2*k3 + 3*k3 + k4 - 4*k2 - 7*k4 + q*k3 = 0. Calculate k.

0, ²⁄₃, 1

Let x(a) be the first derivative of -59 + 0*a - ²²⁄₃*a3 + ¹⁷⁄₈*a4 + ²⁄₅*a5 - 3*a2. Find o, given that x(o) = 0.

-6, -¹⁄₄, 0, 2

Let q(j) be the third derivative of -j⁵⁄₇₀ - 5*j⁴⁄₂₈ - 4*j³⁄₇ - 3*j2 + 191. Factor q(g).

-6(g + 1)(g + 4)/7

Let t be 105/(-147)*(-210)/50. Factor ⁸⁄₃*b3 + ²²⁄₃*b2 + ¹⁄₃*b**4 + t + 8*b.

(b + 1)2*(b + 3)²⁄₃

Let b(h) = 4*h3 + 28*h2 + 136*h. Let r(i) = 15*i3 + 113*i2 + 542*i. Let s(j) = -22*b(j) + 6*r(j). Solve s(g) = 0 for g.

-26, -5, 0

Suppose -8*a - 50 = -5*p - 12*a, -5*a = 0. Let h be -3 + (¹⁴⁴⁄₆₀ - (-6)/p). Factor ³⁄₂*g3 + h*g + ¹⁄₄*g4 + ⁹⁄₄*g**2 + 0.

g2*(g + 3)²⁄₄

Let o(q) be the first derivative of 6 - ¹⁄₇*q3 - ⁴⁸⁄₇*q + ¹⁵⁄₇*q2. Determine n, given that o(n) = 0.

2, 8

Let x(o) be the third derivative of 2*o⁷⁄₁₀₅ - 3*o⁶⁄₁₀ + 8*o⁵⁄₁₅ - 189*o2. Suppose x(v) = 0. Calculate v.

0, 1, 8

Let k(o) be the second derivative of -o⁵⁄₅₀ + 41*o⁴⁄₃₀ + o³⁄₁₅ - 41*o²⁄₅ - 280*o. Solve k(d) = 0.

-1, 1, 41

Factor ⁷⁸⁄₅*z**2 + 4 + ³⁹⁴⁄₅*z.

2(z + 5)(39*z + 2)/5