Suppose -5*f - 36 = 3*r - 221, -2*r - 5*f + 130 = 0. What is j in 5*j**4 - 2141*j**2 - r*j**5 + 5*j**4 + 2001*j**2 + 20*j + 165*j**3 = 0?

Let -17820*b2 - 20538*b2 + 70965*b - 2*b4 + 22461 - 15206*b + 15077 + 551*b3 = 0. Calculate b.

-¹⁄₂, 2, 137

Let f(w) = w3 - 14*w2 - 6*w + 89. Let g be f(14). Let i(z) be the first derivative of 0*z4 + ¹⁄₂*z3 - ¹⁄₂₀*zg + ³⁄₄*z + 11 - z2. Factor i(t).

-(t - 1)*3(t + 3)/4

Let b(i) = -i3 + i. Let r(a) be the first derivative of 2*a⁵⁄₅ - 2*a - 147. Suppose -1 = -u + 2*u. Let l(x) = u*r(x) + 4*b(x). What is h in l(h) = 0?

-1, 1

Let a = -¹³⁹⁄₁₈ - -⁴⁹⁄₆. Let x be (³⁄₁₈)/(¹⁷¹⁄₁₄₄ + -1). Solve 0 + a*i4 + ¹⁴⁄₃*i3 - ¹⁴⁄₉*i5 + x*i - ⁴⁰⁄₉*i2 = 0 for i.

-2, 0, ²⁄₇, 1

Let t(k) be the second derivative of -k⁵⁄₁₇₀ + 281*k⁴⁄₃₄ - 78961*k³⁄₁₇ + 22188041*k²⁄₁₇ - 1352*k. Let t(w) = 0. What is w?

281

Factor ⁵⁶⁄₃*g2 + g3 + ⁸³⁄₃*g - ³⁴⁄₃.

(g + 2)(g + 17)(3*g - 1)/3

Let k(o) = -21*o + 27. Let u be k(-11). Suppose 3*j = 2*j + u. Factor -6 + 246*b3 - j*b3 - 4*b + 9*b5 + 7*b + 18*b2 - 12*b**4.

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

Let d(t) = t2 + 18*t + 83. Let l be d(-10). Suppose 5*f + l*c - 10 = 0, 22*f - 23*f + 2 = c. Factor ¹⁄₈*xf - ¹⁄₄*x + 0 - ¹⁄₈*x4 + ¹⁄₄*x3.

-x(x - 2)(x - 1)*(x + 1)/8

Let a(s) be the third derivative of 0 + 10*s2 - ¹⁄₆₀*s5 + ⁵⁄₆*s3 + 0*s + 0*s4 + ¹⁄₄₅*s**6. Let c(o) be the first derivative of a(o). Factor c(n).

2n(4*n - 1)

Let h® be the second derivative of ⁴⁄₃*r3 + 15*r + ¹⁄₃*r4 - 2 - 6*r**2. Factor h(f).

4(f - 1)(f + 3)