Factor -448*u**2 - 12*u**3 - u**5 - 23*u**4 - 46*u - 82*u - 156*u**3 + 768.

Solve 3*h3 + 425*h2 - 835*h - 4*h3 + 200 - 4*h3 + 215 = 0 for h.

1, 83

Let c(g) be the second derivative of g⁵⁄₁₆₀ + 5*g⁴⁄₈ + 227*g³⁄₄₈ + 21*g²⁄₂ + g - 94. Determine s, given that c(s) = 0.

-56, -3, -1

Let z = 45 + -43. Solve 2*y - y4 - 2*y2 + 11*yz - 6*y2 = 0.

-1, 0, 2

Find v such that -⁸⁰⁄₇ + 52*v - ²⁹⁸⁄₇*v2 + 2*v3 = 0.

²⁄₇, 1, 20

Suppose 9*k - 49*k - 2 = -122. Let n(h) be the first derivative of ⁵⁄₈*h4 - ¹⁄₄*h5 - 18 + ⁵⁄₈*h2 + ¹⁄₂₄*h6 - ⁵⁄₆*h**k - ¹⁄₄*h. Factor n(t).

(t - 1)**⁵⁄₄

Suppose -5*h + 2*s - 171 = 4*s, 0 = 4*h + s + 138. Let r be (²⁄₁₄*26)/((-20)/h). Factor ⁹⁄₂*y2 + ⁵⁄₂*y4 - ¹⁄₂*y + r*y**3 - 1.

(y + 1)*3(5*y - 2)/2

Let g(p) be the third derivative of -p⁶⁄₁₂₀ - 2*p⁵⁄₃ - 34*p⁴⁄₃ - 256*p³⁄₃ - 1126*p**2 - p. Find y such that g(y) = 0.

-32, -4

Let t(n) be the third derivative of -n⁸⁄₁₃₄₄ + n⁷⁄₁₅ - 13*n⁶⁄₂₀ + 38*n⁵⁄₁₅ - 25*n⁴⁄₆ - 12*n2 + 10. Factor t(b).

-b(b - 50)(b - 2)**³⁄₄

Let n be ((-144)/840)/((-6 + 3)*(-3)/(-14)). Let z = ²⁄₃₉₉ - -²⁵⁶⁄₁₉₉₅. Suppose -²⁄₁₅ + ⁴⁄₁₅*x - n*x3 + 0*x2 + z*x**4 = 0. What is x?

-1, 1

Suppose 631 = 18*m - 539. Let v be ³⁄₁₃₅ + 13/m. Let 0 + 0*r + ²⁄₉*r5 - ²⁄₃*r4 + ²⁄₃*r3 - v*r2 = 0. Calculate r.

0, 1