Let q = 3991 + -31927/8. Let p(a) be the first derivative of -10 - q*a**2 + 1/16*a**4 + 0*a + 1/12*a**3 - 1/20*a**5. Factor p(f).

Let s(h) = h3 + 7. Let g be s(0). Let f = 10 - g. Determine j so that 293*j2 - j - 2*jf + j - 297*j2 = 0.

-2, 0

Find a, given that 28*a + 46*a2 + 105 - 329 + 76*a + 4*a3 + 78*a2 - 8*a2 = 0.

-28, -2, 1

Let o(m) be the first derivative of -29*m⁵⁄₂₀ + 11*m⁴⁄₂ - 15*m³⁄₂ + 4*m2 - m/4 + 126. Factor o(x).

-(x - 1)*3(29*x - 1)/4

Let q(k) = 6*k5 + 71*k4 + 115*k3 + 34*k2 - 243*k. Let b(y) = -2*y5 - 24*y4 - 38*y3 - 12*y2 + 82*y. Let o(u) = 17*b(u) + 6*q(u). Factor o(m).

2m(m - 1)(m + 2)(m + 4)**2

Let w(f) = f3 - 8*f2 + 2*f - 14. Let m be w(8). Factor 2808*om + 4*o3 + 22*o - 2832*o2 + 2*o4 + 0*o**3 + 54 - 58*o.

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

Let m(x) be the first derivative of -¹⁄₄*x2 - ¹⁄₂*x3 + 59 + 0*x. Factor m(j).

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

Let i = ⁵⁶³⁷¹⁄₂₇₂₀ - ³⁵²⁄₁₇. Let m(k) be the second derivative of -12*k + 0*k2 + 0*k4 - i*k5 + 0 + ¹⁄₁₆*k3. Find s, given that m(s) = 0.

-1, 0, 1

Let l = ¹²⁸⁵⁴⁄₃₅ - ²²¹⁸⁄₇. Solve l*y**2 + ⁴⁴⁄₅*y - ⁸⁄₅ = 0 for y.

-²⁄₇, ¹⁄₉

Let n(h) = 5*h2 + 138. Let u(s) = 13*s2 - 2*s + 413. Let t(i) = 8*n(i) - 3*u(i). Factor t(x).

(x - 9)*(x + 15)

Let j(v) = -37*v + 42. Let t be j(1). Let d be (9/t)/((-66)/(-110)). Factor 0 - ⁵⁄₂*gd + ³⁄₂*g2 + ¹⁄₂*g**4 + ⁹⁄₂*g.

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