Let b(s) = -s**3 - 37*s**2 - 33*s + 45. Let x be b(-36). Let n be 657/945 - (-6)/x. Factor -1/5*g**2 - n*g**4 + 3/5*g**3 + 0*g + 0 + 1/5*g**5.

Let i(v) be the third derivative of v⁶⁄₂₄₀ - 19*v⁵⁄₆₀ + 115*v⁴⁄₁₂ - 150*v3 + 285*v**2 - 2*v. Solve i(f) = 0.

10, 18

Factor -1275*c + 1332*c + 126 - 66*c2 + c3 + 2*c**3.

3(c - 21)(c - 2)*(c + 1)

Let w be -10 + (¹²⁸⁄₆₄₀)/(²⁄₁₂₀). Factor -⁸⁄₁₁*k + ⁸⁄₁₁ - ²⁄₁₁*kw + ²⁄₁₁*k3.

2(k - 2)(k - 1)*(k + 2)/11

Let m(n) be the first derivative of -4*n³⁄₃ + 1816*n2 - 824464*n - 428. Factor m(t).

-4*(t - 454)**2

Let u(p) be the third derivative of 7*p⁶⁄₁₈₀ + p⁵⁄₃ + p4 + 8*p³⁄₉ - p**2 + 481*p. Factor u(l).

2*(l + 2)*2(7*l + 2)/3

Let a(i) be the third derivative of i⁸⁄₁₁₇₆ - i⁷⁄₄₉ - 19*i⁶⁄₁₀₅ - 375*i2. Solve a© = 0 for c.

-4, 0, 19

Let m be (-841)/(-261) - ²⁄₉. Find r such that 70*r + 245 - 8*r4 - 285*r2 + 3*r4 + 45*r2 - 34*r3 - 36*rm = 0.

-7, -1, 1

Factor -⁴⁹⁰⁄₃*u + 0 + 10*u3 + ¹⁸⁵⁄₃*u2.

5u(u - 2)*(6*u + 49)/3

Factor 5*o4 + 160 + 160*o + 130*o3 - 68*o3 - 38*o2 + 8*o2 - 87*o3.

5*(o - 4)*2(o + 1)*(o + 2)

Suppose 0 = -r - 2*s, 5*r + 2*s = 2*r. Suppose r = -2*p + 8*p - 30. Solve 14*c + 2*c + 21 + 4*c + p*c**2 - 6 = 0 for c.

-3, -1