Factor -15*z**5 + 40*z**4 + 302005*z - 20*z**3 - 302005*z.

Suppose 14*h = 15*h - 2. Factor -2924*v + 2937*v - 2*v2 + 3*vh.

v*(v + 13)

Suppose 3418 = -4*f + c + 3447, 5*c = 2*f - 55. Find n, given that 2240*n + 1460*n2 + 1280 + 55*n4 + 430*n3 + ⁵⁄₂*nf = 0.

-8, -2

Factor -79*z - 839 - 53*z + 711 - 6*z2 - z3 - 30*z**2.

-(z + 2)*2(z + 32)

Suppose 78*r = 79*r - 4*k - 46, 2*r + 3*k + 29 = 0. Factor ⁸⁵⁄₃*p - 10 - ²⁵⁄₃*p**r.

-5(p - 3)(5*p - 2)/3

Let a = 16 + -14. Suppose -114 = -a*y - 3*f, -5*y - 2*f + 86 + 177 = 0. Let y*k2 - 2*k - 51*k2 + 4*k3 - 2*k5 = 0. Calculate k.

-1, 0, 1

Let g be -20*((-4)/(-8))/(5/(-2)). Let h(x) be the second derivative of 0 - 6*x - ¹⁄₄*xg + ⁹⁄₂*x2 + x**3. Solve h(n) = 0 for n.

-1, 3

Let q be (-11776)/(-96)*²⁄₂₉₀. Let k = -⁴⁄₈₇ + q. Determine y, given that k*y2 + ²⁄₅*y4 + 0 - ⁶⁄₅*y**3 + 0*y = 0.

0, 1, 2

Let t(w) be the second derivative of -w⁸⁄₂₅₂₀ - w⁷⁄₆₃₀ - w³⁄₂ - w²⁄₂ - 8*w - 2. Let j(i) be the second derivative of t(i). Let j® = 0. What is r?

-2, 0

Let s = -357 + 367. Suppose -4*y = 3*m + s, 9*m = 7*m - y. Factor -¹⁄₂*u3 + m*u2 + 0 - ³⁄₂*u.

-u(u - 3)(u - 1)/2

Let f(i) be the first derivative of 3*i⁴⁄₂ + 7*i3 - 141*i**2 + 135*i + 1503. Factor f(m).

3(m - 5)(m + 9)*(2*m - 1)