Let b(j) be the first derivative of -4/3*j**2 + 2/9*j**3 + 0*j - 69. Find c such that b(c) = 0.

Let d(m) = -m2 - 129*m - 497. Let f be d(-4). Let u(x) be the second derivative of x + 0*xf + 0*x2 + 0 - ¹⁄₃*x4 - ¹⁄₅*x**5. Solve u(p) = 0 for p.

-1, 0

Suppose 121*f = -156*f + 271*f. Solve ³⁄₂*w5 - ³⁄₂*w2 + 0*w + ⁹⁄₂*w3 - ⁹⁄₂*w4 + f = 0.

0, 1

Let n© be the first derivative of -63 + ¹⁹⁄₁₁*c2 + ³⁶¹⁄₁₁*c + ¹⁄₃₃*c3. Suppose n(w) = 0. Calculate w.

-19

Let v(m) be the second derivative of m⁶⁄₈₀ - 3*m⁵⁄₈ + 83*m⁴⁄₃₂ + 5*m³⁄₄ - 63*m**²⁄₄ - 104*m - 2. Let v(h) = 0. What is h?

-1, 1, 6, 14

Let r(w) be the first derivative of 2*w⁵⁄₆₅ - 63*w⁴⁄₂₆ + 82*w³⁄₁₃ - 61*w²⁄₁₃ - 1251. Factor r(p).

2p(p - 61)*(p - 1)**²⁄₁₃

Let a(w) be the second derivative of w⁷⁄₁₂₆ - w⁶⁄₉₀ - w⁵⁄₂₀ + w⁴⁄₃₆ + w**³⁄₉ + 209*w. Factor a©.

c(c - 2)(c - 1)*(c + 1)**²⁄₃

Let h(u) = 2201*u + 39618. Let w be h(-18). Determine g, given that -¹⁄₄*g**2 + w - ¹⁷⁄₄*g = 0.

-17, 0

Let s be (38 - ³⁸⁷⁷⁵⁄₁₀₅₀)*(-4)/(-15). Solve -⁴⁄₇ + ²⁄₇*n3 + ⁴⁄₇*n2 - s*n = 0.

-2, -1, 1

Let s(f) = -8*f2 - 105*f - 70. Let p(j) = 5*j2 + 53*j + 42. Let y(z) = -5*p(z) - 3*s(z). Factor y®.

-r*(r - 50)

Find k such that -²⁄₃*k4 - ²²⁹⁄₆*k2 + ¹³⁹⁄₆*k**3 + 0 - 11*k = 0.

-¹⁄₄, 0, 2, 33