Let b(x) be the second derivative of x**2 - 1/10*x**5 + x + 0 - x**3 + 1/2*x**4. Suppose b(z) = 0. What is z?

Let g(p) be the first derivative of -¹⁄₂₀*p5 + 25 + 0*p3 + 0*p + 0*p2 + ³⁄₁₆*p4. Solve g(k) = 0 for k.

0, 3

Let j(z) = z3 + 4*z2 - 7*z - 3. Let s = 378 - 381. Let w be j(s). Let -w*p**2 - ¹⁄₃ + 6*p = 0. Calculate p.

¹⁄₉

Let -⁶⁴⁄₉*m3 + ²⁸⁄₃ + ²⁄₉*m5 + ⁸⁄₃*m4 - 12*m2 + ⁶²⁄₉*m = 0. Calculate m.

-14, -1, 1, 3

Let n(v) = -6*v5 - 5*v4 + 8*v3 - 11*v2 - 32*v + 11. Let z© = c5 + c4 + c3 - c2 + 4*c + 1. Let w(x) = n(x) + 5*z(x). Solve w® = 0 for r.

-4, -1, 1, 2

Let k(h) be the second derivative of h⁸⁄₈₄₀ + h⁷⁄₄₂₀ + 20*h**³⁄₃ + 7*h + 1. Let b(t) be the second derivative of k(t). Factor b(q).

2*q*3(q + 1)

Let b(n) be the third derivative of n⁹⁄₂₅₂₀ + n⁸⁄₁₆₈₀ + 5*n⁴⁄₂ + 74*n2. Let o(y) be the second derivative of b(y). Factor o(s).

2*s*3(3*s + 2)

Suppose -14*w + 10 = -19*w. Let z be (w/5)/(1/(-10)). Factor 55*b2 + 4*b3 + b3 + 60*b + 53 - 33 - 15*bz - 5*b**5.

-5(b - 2)(b + 1)*3(b + 2)

Suppose -915*k - 486 + 1202 = -2029. Suppose ³⁄₂*l4 - ⁹⁄₂*lk - ³⁄₂*l2 + 3*l + ³⁄₂*l5 + 0 = 0. Calculate l.

-2, -1, 0, 1

Let j(h) be the first derivative of -h4 - 116*h³⁄₃ - 448*h**2 - 784*h - 43. Factor j(g).

-4(g + 1)(g + 14)**2

Let o = 10 + -14. Let x(l) = 9*l2 - 20*l + 34. Let q(n) = -4*n2 + 10*n - 16. Let b(u) = o*x(u) - 10*q(u). Find y, given that b(y) = 0.

2, 3