Let v(h) be the second derivative of h**3 + 0 - 1/20*h**5 + 4*h**2 - 1/8*h**4 - 11*h. Let b(g) be the first derivative of v(g). Let b(a) = 0. What is a?

Let v(w) = w3 - w - 1. Let j(p) = -4*p3 + 6 - 2*p5 + p5 - p5 + 5*p + p5. Suppose -3*n - n + 4 = 0. Let k(m) = n*j(m) + 6*v(m). Factor k(y).

-y*(y - 1)2*(y + 1)2

Let n be (-2 - (-2 - -1)) + 5. Factor 8*w + 8*w4 - 8*w3 + 13*wn - 17*w4 - 4.

4*(w - 1)*3(w + 1)

Find x such that -³⁄₇*x5 - ¹²⁰⁄₇*x4 + ³⁶⁶⁄₇*x2 + ²⁴⁰⁰⁄₇ + ³⁸⁴⁰⁄₇*x - ¹¹⁹¹⁄₇*x3 = 0.

-20, -1, 2

Suppose 87*c2 + 3*c4 + 486 + 485*c + 263*c - 45*c**3 - 127*c = 0. Calculate c.

-2, -1, 9

Let v(a) be the third derivative of -¹⁄₄₀*a6 + ¹⁄₅*a5 + 9*a + a2 - ⁵⁄₈*a4 + 0 + a**3. Determine l so that v(l) = 0.

1, 2

Find u such that ⁸⁄₇*u4 + 0 - ⁸⁄₇*u2 + ¹⁵⁄₇*u3 - ¹⁶⁄₇*u + ¹⁄₇*u5 = 0.

-4, -1, 0, 1

Let j(a) = a + 15. Let i be j(-11). Factor -735*xi - 2178*x3 - 1188*x2 - 125*x - 660*x4 - 91*x + 64*x**4.

-x*(11*x + 6)**3

Suppose -304*y + 807 = -409. Factor 675*z2 + ¹⁄₂*zy + 6750*z + 30*z**3 + ⁵⁰⁶²⁵⁄₂.

(z + 15)**⁴⁄₂

Let u(z) = -z + 31. Let q be u(27). Let v be (q/(-10))/((-6)/10). Let -v*t3 + 0 + ²⁄₃*t + 0*t2 = 0. Calculate t.

-1, 0, 1

Let w(p) be the third derivative of -p⁷⁄₇₃₅ - 239*p⁶⁄₂₁₀ - 57121*p⁵⁄₂₁₀ + 1306*p2. Find i such that w(i) = 0.

-239, 0