Let i(v) be the third derivative of v**6/240 - 19*v**5/60 + 115*v**4/12 - 150*v**3 + 285*v**2 - 2*v. Solve i(f) = 0.

Let w(b) be the first derivative of -2*b⁶⁄₃ - 532*b⁵⁄₅ - 132*b**4 - 1108. Find o such that w(o) = 0.

-132, -1, 0

Let h be (-5124)/(-1764) - (-5 - (-412)/84). Factor ⁴⁄₇*k2 + ¹⁰⁄₇*k5 + 0*k + ²⁄₇*kh - ¹⁶⁄₇*k4 + 0.

2*k2*(k - 1)2*(5*k + 2)/7

Let g(l) be the third derivative of -27 + 0*l + ⁸⁄₂₁*l3 + ¹⁄₁₄*l4 + ¹⁄₂₁₀*l5 - 2*l2. Find u such that g(u) = 0.

-4, -2

Let c(u) be the second derivative of u⁶⁄₁₃₅ + 11*u⁵⁄₉₀ + 11*u⁴⁄₁₈ + u³⁄₃ - 6*u**2 + 1517*u. Factor c(j).

2(j - 1)(j + 3)*2(j + 6)/9

Let c(f) be the first derivative of ⁴⁄₂₁*f3 + 0*f - ¹⁄₂₁₀*f5 + 0*f4 - 14 + 5*f2. Let l(m) be the second derivative of c(m). Solve l(x) = 0.

-2, 2

Let p = -18 - -23. Suppose -2*i + o - 6 = -4*i, -i = -p*o + 8. Let -³⁄₅*z + 0 + ⁶⁄₅*zi - ³⁄₅*z3 = 0. Calculate z.

0, 1

Let j be (-232)/(-5) - 30/(-50). Let u = j + -45. Suppose 9*p + 2*p + p - 8*pu - 4*p3 = 0. Calculate p.

-3, 0, 1

Let p(y) = 10*y2 + 4. Let z be p(2). Let d = z + -³⁰⁷⁄₇. Factor -d*i + ²⁄₇*i2 + 0 - ¹⁄₇*i**3.

-i*(i - 1)**²⁄₇

Let m(z) be the third derivative of z⁷⁄₁₆₈₀ + z⁶⁄₁₈₀ - z⁵⁄₂₄₀ - z⁴⁄₁₂ - 14*z³⁄₃ + 73*z2. Let v(q) be the first derivative of m(q). Factor v(w).

(w - 1)(w + 1)(w + 4)/2

Let ²⁄₁₇*r4 + ⁵⁸⁄₁₇*r - ¹⁰⁄₁₇*r3 + ⁸⁴⁄₁₇ - ³⁸⁄₁₇*r**2 = 0. What is r?

-3, -1, 2, 7