Let a = 15613/2 - 7779. Factor -15*v**2 + a*v - 15 + 5/2*v**3.

Let s(v) be the third derivative of v⁸⁄₈₄ + 2*v⁷⁄₁₅ + 7*v⁶⁄₃₀ - 19*v⁵⁄₁₅ - 8*v⁴⁄₃ + 40*v³⁄₃ - 1414*v**2. Let s(y) = 0. Calculate y.

-5, -2, 1

Let i(s) be the second derivative of 15*s + 0 - ¹⁄₆*s4 - ¹⁄₆₀*s5 + s2 + 0*s3. Let x(z) be the first derivative of i(z). Factor x®.

-r*(r + 4)

Let -¹⁄₃*z**2 + ¹⁶¹⁄₃ + ¹⁶⁰⁄₃*z = 0. Calculate z.

-1, 161

Let p(l) be the second derivative of -l⁵⁄₃₀ - 37*l⁴⁄₁₈ + 344*l³⁄₉ - 240*l2 - 24*l + 5. Suppose p(a) = 0. What is a?

-45, 4

Let k(y) be the third derivative of y⁸⁄₂₈₀ - 3*y⁷⁄₃₅₀ - 33*y⁶⁄₂₀₀ + 59*y⁵⁄₁₀₀ + 51*y⁴⁄₄₀ - 18*y³⁄₅ + 179*y**2 - 5*y. Let k(f) = 0. Calculate f.

-4, -1, ¹⁄₂, 3

Let b(n) = -n2 + 12*n - 28. Let a be b(8). Let 125*q - 135*q2 - 11 - 485*q3 - 29 + 540*q3 - 5*q**a = 0. Calculate q.

1, 8

Let d(t) = -t3 - 23*t + 98. Let r be d(3). Let j(n) be the second derivative of -⁹⁄₈*nr - ¹⁄₄*n3 + 0 + ¹⁄₁₆*n4 + 2*n. Solve j© = 0.

-1, 3

Let w(j) be the first derivative of 15*j + 4*j - 2*j + 43 + 36*j3 - j + 48*j2. Factor w(i).

4*(3i + 2)(9*i + 2)

Let t(i) be the second derivative of -i⁵⁄₁₂ + 7*i⁴⁄₉ + 47*i³⁄₁₈ + 7*i²⁄₃ - 192*i. Determine v so that t(v) = 0.

-1, -²⁄₅, 7

Suppose -3*a - 2*a + 26 = 2*o, 5*o = 15. Suppose 5*s - 1 = -2*j + 22, 0 = a*s + 3*j - 24. Factor -7*x + s*x2 - 9*x - x2 + 32.

2*(x - 4)**2