Let m = 42 + -38. Suppose -110 = -5*d + 3*i, -m*d - 2*i = i - 88. Suppose -11*y**2 - 48*y**3 - 283*y + 277*y - 21*y**4 - d*y**2 = 0. What is y?

Suppose 2*c + 7 + 59 = 0. Let u = -31 - c. Determine b so that 5*b5 - 3*b2 + 9*b2 - 9*b3 + u*b5 - 4*b5 = 0.

-2, 0, 1

Let c(x) be the first derivative of -2*x³⁄₁₅ + 21*x²⁄₅ - 216*x/5 + 189. What is t in c(t) = 0?

9, 12

Let -²⁄₃*k**2 - ⁶⁶⁸⁄₃*k - ⁵⁵⁷⁷⁸⁄₃ = 0. Calculate k.

-167

Determine n, given that 14*n4 + 911*n + 2590*n2 + 12*n3 - 3*n5 + 18*n3 - 2*n5 + 1784*n - 25725 - 79*n**4 = 0.

-7, 3, 5

Let a(u) be the second derivative of u⁴⁄₁₂ - 26*u³⁄₃ - 567*u. Factor a(m).

m*(m - 52)

Suppose -28*i - 165*i - 963 + 4051 = 0. Find z such that ¹⁄₂*z**2 + i*z + 128 = 0.

-16

Let c(a) be the third derivative of 0 + 0*a + 0*a3 + ¹⁄₁₀₀₈*a8 + ¹⁄₆₃₀*a7 - 25*a2 - ¹⁄₁₂₀*a6 - ¹⁄₃₆*a4 - ¹⁄₃₆*a**5. Factor c(q).

q(q - 2)(q + 1)**³⁄₃

What is u in -8*u - 5*u5 + 20*u4 + 528*u2 - 17*u + 7*u3 + u3 - 548*u2 + 22*u**3 = 0?

-1, 0, 1, 5

Let u = ⁴⁵³⁵⁄₂ - 2267. Let g(y) be the first derivative of -⁶⁄₅*y5 + ³⁄₂*y2 + 2*y3 + 0*y - u*y6 - 8 + 0*y**4. Factor g(a).

-3a(a - 1)*(a + 1)**3

Let j(n) be the first derivative of -n⁷⁄₃₃₆₀ - 11*n⁶⁄₁₄₄₀ - n⁵⁄₄₈ + 67*n³⁄₃ - 24. Let s(o) be the third derivative of j(o). Find d, given that s(d) = 0.

-10, -1, 0