Determine q so that 8 + 17/3*q + 1/2*q**2 - 1/6*q**3 = 0.

Let f(i) = 33*i + 200. Let q be f(-6). Let b© be the second derivative of ¹⁄₆*c4 - 2*cq + ¹⁄₃*c**3 + 0 - 16*c. Suppose b(j) = 0. What is j?

-2, 1

Let f be 39*(-15)/(-26) - 18. Factor f - 21*l + ²⁷⁄₈*l**2.

3(l - 6)(9*l - 2)/8

Let y(i) = 11*i2 + 14*i - 23. Let w be y(3). Let q = w - ²²⁹⁄₂. Factor ¹⁹⁄₂*j - q*j2 + 3.

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

Let i® be the third derivative of -r⁶⁄₃₀ + 19*r⁵⁄₁₅ + 32*r⁴⁄₃ + 88*r³⁄₃ + 1426*r**2. Factor i(f).

-4(f - 22)(f + 1)*(f + 2)

Let b(t) be the third derivative of -t⁸⁄₁₃₄₄ - t⁷⁄₂₅₂ + t⁶⁄₄₈ + t⁴⁄₈ - 5*t³⁄₂ + 4*t2 - 8*t. Let u(k) be the second derivative of b(k). Factor u(m).

-5m(m - 1)*(m + 3)

Let l(s) = 11*s2 - 4*s + 6. Let r(z) = 10*z2 - 5*z + 5. Let x© = 3*l© - 2*r©. Let g be x(4). Factor 2*h + g*h3 - 2*h2 + 4 - 210*h3 - 2*h2.

-2(h - 1)(h + 1)*(h + 2)

Let m = ²⁴⁵⁄₅₂₉ - ¹¹⁴⁷⁄₄₇₆₁. Find o, given that m*o5 + ⁸⁰⁄₉*o3 - ⁶⁴⁄₉ - ²⁰⁄₉*o4 + ¹⁶⁰⁄₉*o - ¹⁶⁰⁄₉*o2 = 0.

2

Suppose l = 5*u + 3*l - 21, -2*l + 9 = u. Factor -44*x3 - 25*x2 + 124*x3 - 40*x3 - 45*x**u + 30*x.

-5x(x - 1)*(x + 6)

Let l = ⁵⁹⁄₁₀ + ¹⁴⁷⁄₂₀. Let a(n) be the second derivative of 0 + 0*n2 - 6*n - l*n5 - ⁵⁄₃*n4 + ¹⁰⁄₃*n3 - ¹⁵⁄₂*n**6. Let a® = 0. Calculate r.

-1, -²⁄₅, 0, ²⁄₉

Let w(p) be the third derivative of 7*p⁵⁄₅ + 316*p⁴⁄₃ + 40*p3 + 28*p2 + 12*p. Factor w©.

4(c + 30)(21*c + 2)