Suppose -11*q = 4*q + 13*q. Let x(m) be the first derivative of 0*m**4 + q*m**3 - 1/24*m**6 + 0*m**2 + 0*m - 1/10*m**5 + 8. Factor x(y).

Let f(p) = p2 - 3227*p + 649636. Let a® = -4*r2 + 9680*r - 1948908. Let k(d) = 3*a(d) + 8*f(d). Solve k(o) = 0.

403

Let v(s) = -35*s2 - 3857*s + 700. Let i(q) = -246*q2 - 27000*q + 4899. Let c(t) = -2*i(t) + 15*v(t). Factor c(j).

-3(j + 117)(11*j - 2)

Solve 169*i2 - 60*i3 - 214*i2 + 0*i4 - 405 - 10*i4 - 225*i2 - 540*i + 5*i**4 = 0.

-3

Let b(x) be the first derivative of 3*x⁵⁄₅ + 165*x⁴⁄₄ + 726*x3 - 1344*x2 - 4704*x + 460. Find i, given that b(i) = 0.

-28, -1, 2

Let h(x) be the first derivative of -x⁴⁄₁₆ - 83*x³⁄₁₂ - 10*x**2 + 41*x + 148. Factor h(f).

-(f - 1)(f + 2)(f + 82)/4

Let k(u) be the first derivative of 24*u⁴⁄₇ - 190*u³⁄₂₁ - 2*u**²⁄₇ - 786. Factor k®.

2r(r - 2)*(48*r + 1)/7

Let h(k) = 2*k2. Let f(x) = -6*x - 42. Let z be f(-8). Let j(t) = -13*t2 + 4. Let d(b) = z*h(b) + j(b). Factor d(o).

-(o - 2)*(o + 2)

Let j = 47 - 47. Suppose j = -2*f + 3 + 1. Factor 5*a4 - 6*a2 - 25*a3 + 18*a2 + 3*af + 25*a2 - 20*a.

5a(a - 2)*2(a - 1)

Let p(v) be the third derivative of v⁵⁄₄₀ - 11*v⁴⁄₈ - 42*v3 - 218*v2. Factor p(i).

3(i - 28)(i + 6)/2

Let y(z) = -2*z3 + 16*z2 - 9*z - 13. Let i be y(-15). Let c = i + -²⁰⁵³⁹⁄₂. Factor 165*d3 + ⁵⁄₂*d5 + ⁶⁵⁄₂*d4 + c + 405*d2 + ⁹⁴⁵⁄₂*d.

5(d + 1)(d + 3)**⁴⁄₂