Let d(c) = -c**2 + c - 1. Let g = 0 + -2. Let s(n) = n**2 + 10*n**2 - 23*n + 5*n - 8*n**2 + 18. Let f(z) = g*d(z) + s(z). Determine t, given that f(t) = 0.

Let l(y) = 8*y + 3*y2 - 11 + 0*y2 + 5*y. Let t(f) = -2*f**2 - 7*f + 6. Suppose 35*a - 40 = 43*a. Let d(k) = a*t(k) - 3*l(k). Factor d(v).

(v - 3)*(v - 1)

Let g(t) be the first derivative of -¹⁄₃*t3 + ⁸⁄₇*t2 + 73 - ⁴⁄₇*t. Solve g(w) = 0.

²⁄₇, 2

Suppose 4*c - 153*c = 0. Factor 0 - ³⁄₈*y2 + c*y - ⁹⁄₄*y3.

-3*y*2(6*y + 1)/8

Let f = -359 + 512. Determine k so that 4 - k4 - 2*k + k2 - 148*k3 + f*k3 - k**5 - 6*k = 0.

-2, 1

Let v(j) be the third derivative of -j⁷⁄₆₃₀ + 23*j⁶⁄₁₈₀ - 143*j⁵⁄₄₅ + 121*j⁴⁄₉ - 6*j**2 - 3*j. Factor v©.

-c*(c - 22)*2(c - 2)/3

Let u be (-15)/(-60) + (-51)/612. Solve ¹⁷⁄₃*h + u*h**2 + ²⁸⁹⁄₆ = 0 for h.

-17

Factor -⁴⁰⁄₃*d - ¹³⁄₃ - d**2.

-(d + 13)*(3*d + 1)/3

What is d in -¹⁄₄*d + ¹⁄₄*d3 - ⁵⁄₂ + ⁵⁄₂*d2 = 0?

-10, -1, 1

Let j(a) be the third derivative of ¹⁄₃*a3 + 3*a2 - ¹⁄₇₂*a4 - ¹⁄₃₀*a5 + ¹⁄₃₆₀*a**6 + 20*a + 0. Suppose j(b) = 0. Calculate b.

-1, 1, 6

Let i(h) be the second derivative of 0 + 22*h + ¹⁄₁₄*h7 - ⁵⁄₂*h4 - ¹⁄₂*h6 - ³⁄₂*h2 + ³⁄₂*h5 + ⁵⁄₂*h3. Factor i(v).

3*(v - 1)**5