Let d(m) = -m**2 - 129*m - 497. Let f be d(-4). Let u(x) be the second derivative of x + 0*x**f + 0*x**2 + 0 - 1/3*x**4 - 1/5*x**5. Solve u(p) = 0 for p.

Suppose -2*x + 17 - 13 = 0. Let i be (x + -7 - -11) + -3. Factor 0 - ¹⁄₄*di + ¹⁄₄*d2 + ¹⁄₂*d.

-d(d - 2)(d + 1)/4

Let x(z) = 2. Let t© = -c**2 + 598*c - 89419. Let d(i) = 4*t(i) + 36*x(i). Factor d(u).

-4*(u - 299)**2

Let v(j) be the first derivative of -j⁴⁄₁₄ + 8*j³⁄₂₁ - 3*j**²⁄₇ + 333. Factor v(q).

-2q(q - 3)*(q - 1)/7

Let x(g) = -5*g4 + 24*g3 + 119*g2 + 102*g + 3. Let f(m) = -m4 - m**2 + 2*m + 1. Let z(w) = -6*f(w) + 2*x(w). Factor z(h).

-4h(h - 16)(h + 1)(h + 3)

Let g be (-20)/6*3/(-2). Suppose -g = -3*a - c, 43*a - 3*c = 39*a - 15. Factor -¹⁄₆*r2 + ¹⁄₆*r3 + a - ¹⁄₃*r.

r(r - 2)(r + 1)/6

Suppose 0 = v + 3*b + 1, -4*v + 3 = 41*b - 36*b. Find a such that -⁷⁄₂*a + ¹⁄₄*a**v + ⁴⁹⁄₄ = 0.

7

Find j, given that -30*j - j4 + 805*j2 - 391*j2 - 383*j2 = 0.

-6, 0, 1, 5

Let l(d) = d4 + d3 - 4*d. Let f(j) = -j4 + 3*j3 - 42*j**2 + 84*j - 40. Let c(t) = -5*f(t) - 10*l(t). Factor c(y).

-5*(y - 2)*2(y - 1)*(y + 10)

Suppose -4*x + 13 = -5*x. Let h = x - -17. Factor 12*z - 3*z5 - 30*z2 + 24 + h*z4 + 8*z4 - 3*z3 + 0*z5.

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

Let s(y) be the first derivative of -y⁶⁄₁₂₀ + 7*y⁴⁄₂₄ + y3 - 31*y²⁄₂ + 27. Let u(k) be the second derivative of s(k). Factor u(n).

-(n - 3)(n + 1)(n + 2)