Let g(p) be the first derivative of -1/20*p**5 + 25 + 0*p**3 + 0*p + 0*p**2 + 3/16*p**4. Solve g(k) = 0 for k.

Let g be (-2088)/(-4060)*((-4)/(-22) - (-460)/11). Solve ⁶⁴⁄₅ + g*j2 - ⁴⁄₅*j4 - ¹⁵²⁄₅*j - ¹⁶⁄₅*j**3 = 0 for j.

-8, 1, 2

Let c(z) be the second derivative of ¹⁄₇*z2 - ¹⁄₂₁*z4 + ¹⁄₂₁*z3 + ¹⁄₁₄₇*z7 - ¹⁄₃₅*z5 + 0 + 72*z + ¹⁄₁₀₅*z6. Factor c(l).

2*(l - 1)2*(l + 1)³⁄₇

Let g® = 3*r2 + 11*r - 12. Let x(b) be the first derivative of -5*b³⁄₃ - 21*b**²⁄₂ + 24*b - 29. Let o© = -14*g© - 6*x©. Factor o(j).

-4(j + 3)(3*j - 2)

Let v(b) be the second derivative of 0 + 2*b3 - 6*b2 + 26*b - ³⁄₂₀*b5 + ¹⁄₄*b4. Suppose v(n) = 0. What is n?

-2, 1, 2

Let y be (¹¹⁄₂ + -3)*²⁰⁄₂₅. Factor 12 - 7 - 64*n - 8*n3 + 23 + 44*ny.

-4*(n - 1)*2(2*n - 7)

Let s = -96 - -99. Suppose -b + 5*bs + 14*b2 - 3*b - b3 + 0*b3 - 14*b**4 = 0. What is b?

-1, 0, ²⁄₇, 1

Let j = ³³⁸⁹⁄₂₉₉₅ + ⁴¹⁄₅₉₉. Let j*k**2 - ¹⁴⁄₅*k + ⁴⁄₅ = 0. What is k?

¹⁄₃, 2

Let g© be the third derivative of -c⁵⁄₂₁₀ - c⁴⁄₂₈ + 10*c³⁄₃ + 427*c2 + c. Determine t, given that g(t) = 0.

-10, 7

Let h be (³⁵²⁄₃₃ + -11)/((-2)/12). Let b(i) be the first derivative of -¹⁄₈*ih + 0*i + 5 - ¹⁄₁₆*i4 - ¹⁄₆*i**3. Determine f so that b(f) = 0.

-1, 0

Let g(m) be the third derivative of -11*m⁶⁄₄₀ - 136*m⁵⁄₅ - 6575*m⁴⁄₈ + 1875*m3 - 409*m**2. Factor g(x).

-3*(x + 25)*2(11*x - 6)