Let f(i) = 33*i + 200. Let q be f(-6). Let b(c) be the second derivative of 1/6*c**4 - 2*c**q + 1/3*c**3 + 0 - 16*c. Suppose b(j) = 0. What is j?

Factor -15*z5 + 40*z4 + 302005*z - 20*z**3 - 302005*z.

-5*z*3(z - 2)*(3*z - 2)

Let j = -95 + 99. Let o(i) = i3 - 15*i2. Let u(f) = 4*f2 - 20*f2 + 13 - 13. Let h(z) = j*o(z) - 3*u(z). Determine k so that h(k) = 0.

0, 3

Find c, given that 17*c + 108*c2 - 81*c3 + ⁵⁄₂*c**4 - ⁹³⁄₂ = 0.

-³⁄₅, 1, 31

What is f in -¹⁸⁄₇*f - 4 - ²⁄₇*f**2 = 0?

-7, -2

Suppose -6*v - 5 = -v - 4*g, 6 = -3*v + 3*g. Suppose 60 = 3*o - 0*x + 3*x, -115 = -4*o + v*x. Factor -5*h**2 + 20 + o*h - 25*h.

-5(h - 2)(h + 2)

Let c = -214 - -218. Factor -1 + 468*wc + 32*w + 6*w2 - 460*w4 - 7 + 0*w - 26*w3.

2*(w - 2)*2(w + 1)*(4*w - 1)

Let x be ⁶⁶⁄₁₅ + -169 + 168. Solve -55*k - ¹⁄₅*k4 - x*k3 - 21*k**2 - 50 = 0 for k.

-5, -2

Suppose -11 + 21 = 5*x. Factor 3*o2 - 44*o - 4*ox + 36*o.

-o*(o + 8)

Let m(i) be the third derivative of i⁷⁄₄₂ - 23*i⁶⁄₈ - i⁵⁄₄ + 1025*i⁴⁄₂₄ + 115*i3 + 3*i2 - 326*i. Find o, given that m(o) = 0.

-1, 2, 69

Let h(q) be the first derivative of -63*q3 - ³⁹⁶⁹⁄₂*q2 - 27783*q - ³⁄₄*q**4 + 75. Factor h(n).

-3*(n + 21)**3