Let p = 13 - -93. Suppose 3*g = -t + 65, 3*t + t = -5*g + p. Factor -g + 2*x**2 + 24 - 3*x - x**2 + 4*x**3 - 3*x**2 - x**5.

Suppose 4*o - 35 = 5*f, 4*o - 2*f + 4*f - 42 = 0. Let d be (6/(-14))/(o + 129/(-12)). Factor 0 - ²⁄₇*c4 + d*c2 - ³⁄₇*c3 + ⁴⁄₇*c + ¹⁄₇*c5.

c*(c - 2)2*(c + 1)²⁄₇

Suppose 3*r - 41 = 4*p - 30, 10 = 2*r - 4*p. Let o(q) be the first derivative of ²⁄₂₁*q3 + 0*q + r - ²⁄₇*q2. Factor o©.

2c(c - 2)/7

Let v = -33424 - -33426. Suppose v*g5 + 0 + ¹⁄₂*g - ⁷⁄₂*g2 - ¹³⁄₂*g4 + ¹⁵⁄₂*g3 = 0. Calculate g.

0, ¹⁄₄, 1

Let k = -311 + 311. Suppose -f = 2*g - 6, k = -3*f - 2*f. Let -2*ug - ³⁶⁄₇*u2 - ⁴⁰⁄₇*u - ¹⁶⁄₇ - ²⁄₇*u**4 = 0. What is u?

-2, -1

Let k(j) be the second derivative of j⁷⁄₁₇₆₄₀ + j⁶⁄₅₀₄₀ - j⁵⁄₁₄₀ + 7*j⁴⁄₄ + 41*j. Let y(t) be the third derivative of k(t). Factor y(z).

(z - 2)*(z + 3)/7

Factor -1532*y + 438*y + 420 + 101*y2 + y3 + 678*y.

(y - 2)*2(y + 105)

Let -¹⁄₂*p**2 - ¹⁸⁹⁄₂ - 95*p = 0. Calculate p.

-189, -1

Let g(v) be the second derivative of ²⁄₁₁*v2 + ¹⁄₁₁*v3 + 0*v4 - 3 - ¹⁄₁₁₀*v5 + 6*v. Factor g(n).

-2(n - 2)(n + 1)**²⁄₁₁

Let j be -2 + 3 + 8/(-16). Let z = -11650 + 11652. Factor -¹⁄₂*u + 0 + uz - j*u3.

-u*(u - 1)**²⁄₂

Let z(s) be the first derivative of s⁷⁄₂₁₀ - 10*s3 + 44. Let g(v) be the third derivative of z(v). Factor g(m).

4*m**3