Let n(k) be the second derivative of 54*k + 0 - 2/3*k**4 - 10*k**2 + 14/3*k**3. Factor n(w).

Let y(o) be the first derivative of -o⁵⁄₁₂ - o⁴⁄₃ - 8*o³⁄₁₅ + o2 + 35*o + 41. Let k(t) be the second derivative of y(t). Factor k(b).

-(5*b + 4)**²⁄₅

Let u(j) be the second derivative of -j⁷⁄₂₀₁₆ - 17*j⁶⁄₅₇₆ + j⁴⁄₆ + 3*j2 + 74*j. Let o(i) be the third derivative of u(i). Factor o(w).

-5w(w + 17)/4

Suppose -z = -3*z. Let s = 128889 - 128886. Factor -¹⁄₇*t2 + 0*t - ²⁄₇*ts - ¹⁄₇*t**4 + z.

-t2*(t + 1)²⁄₇

Let h(j) be the first derivative of j⁴⁄₁₂ + 134*j³⁄₉ + 265*j**²⁄₆ + 44*j + 1381. Factor h(o).

(o + 1)*2(o + 132)/3

Factor 2*b - 2*b3 + 485*b2 - 453*b**2 - 28*b - 60.

-2(b - 15)(b - 2)*(b + 1)

Let p(h) = 2*h - 28. Suppose 72 = 4*s - 4*t - 8, 0 = -2*s - 2*t + 20. Let m be p(s). Factor -9*v + 0*v - v2 - m*v2.

-3v(v + 3)

Let x(u) be the second derivative of -u⁷⁄₁₈₉ + u⁶⁄₁₅ - 3*u⁵⁄₁₀ + 31*u⁴⁄₅₄ - 4*u**³⁄₉ - 311*u. Find h such that x(h) = 0.

0, 1, 3, 4

Let c(y) be the second derivative of y + 0*y4 - ³⁄₂₀*y5 + 0*y2 + 13 + 0*y3. Let c® = 0. What is r?

0

Let w(u) be the third derivative of u⁶⁄₁₈₀ - u⁵⁄₁₂ - 11*u³⁄₂ + 14*u2 + 2*u. Let q(y) be the first derivative of w(y). Factor q(z).

2z(z - 5)

Let l(p) be the second derivative of -p⁴⁄₁₃₂ - 138*p³⁄₁₁ - 85698*p**²⁄₁₁ + 125*p - 4. Let l(n) = 0. What is n?

-414