Let k(b) be the first derivative of 3*b**4/4 + 255*b**3 + 24192*b**2 - 49152*b - 975. Factor k(z).

Let x(u) be the first derivative of 2*u³⁄₃ + 70*u2 + 898. Factor x®.

2r(r + 70)

Let i(b) = -11*b2 - 99*b + 85. Let v(s) = 2*s2 + 3. Let m(w) = -3*i(w) - 15*v(w). Factor m(d).

3(d - 1)(d + 100)

Let b(h) be the first derivative of 80*h³⁄₉ + 62*h²⁄₃ - 24*h + 1105. Determine t, given that b(t) = 0.

-2, ⁹⁄₂₀

Let s(p) = -3*p4 - 333*p3 - 9402*p2 - 9072*p - 15. Let m(t) = -t2 - t + 5. Let g(j) = -3*m(j) - s(j). Determine a so that g(a) = 0.

-55, -1, 0

Let m(y) be the first derivative of y⁵⁄₁₅ + 11*y⁴⁄₁₂ + 14*y³⁄₉ - 22*y²⁄₃ - 24*y + 839. Determine w, given that m(w) = 0.

-9, -2, 2

Let r be (7/(-14))/((-4)/24). Suppose 4*j = -0*w + 4*w, -2*j = r*w. Find g, given that j - ²⁄₉*g + ⁴⁄₉*g**2 = 0.

0, ¹⁄₂

Let b(x) be the first derivative of ⁵⁄₄*x4 + 5*x3 - 5*x2 - 57 + ⁵⁄₆*x6 - 3*x**5 + 0*x. Solve b(d) = 0.

-1, 0, 1, 2

Let z(h) be the second derivative of 0 - ¹⁄₅*h2 + 0*h4 - ¹⁄₁₀*h3 + ¹⁄₁₀₀*h5 + 56*h. What is q in z(q) = 0?

-1, 2

Let h be (-2 - (0 - 11)) + (85 - 94). Let a(o) be the third derivative of -3*o2 + 0 + h*o + ¹⁄₃₀*o5 + ¹⁄₆₀*o6 + 0*o3 - ¹⁄₆*o**4. Factor a(k).

2k(k - 1)*(k + 2)

Let x be 2/((-185)/95 + ¹⁰⁄₅). Suppose x*t = 34*t. Factor 0 + t*o2 - ³⁄₂*o + ³⁄₂*o3.

3o(o - 1)*(o + 1)/2