Let -17820*b**2 - 20538*b**2 + 70965*b - 2*b**4 + 22461 - 15206*b + 15077 + 551*b**3 = 0. Calculate b.

Let q(b) = 5*b + 80. Let h be q(0). Factor 9*w2 - w2 - 13*w**2 + h.

-5(w - 4)(w + 4)

Let c(b) = -4*b2 + 215*b + 78. Let p be c(54). Solve 4*t4 - 52*t + ¹³⁴⁄₃*t2 - 19*t3 - ¹⁄₃*t**5 + p = 0 for t.

2, 3

Let l be (1 + -1)/(0/(-1) - 3). Suppose 3*x - 3 - 15 = l. Find c, given that x - 2 - 4*c**2 + 4*c - 4*c = 0.

-1, 1

Let h(s) be the first derivative of -s⁶⁄₁₅ - 82*s⁵⁄₂₅ - 219*s⁴⁄₅ - 668*s³⁄₃ - 245*s**2 + 1350*s - 1533. Determine t so that h(t) = 0.

-27, -5, 1

Let r(i) = 11*i2 + 9*i + 3. Let y(o) = 2 + 15*o - 24*o + 4*o2 + 13*o. Let x(n) = -2*r(n) + 5*y(n). Factor x(z).

-2(z - 2)(z + 1)

Let l be (-6)/8*9/(288/(-128)). Suppose 0*i2 + i4 - ³⁄₂*i**l + 0 + ¹⁄₂*i = 0. Calculate i.

-¹⁄₂, 0, 1

Let r = -95416 - -95419. Let -⁵⁄₄*tr + 2 + t + ¹⁄₂*t4 + ¹⁄₄*t5 - ⁵⁄₂*t2 = 0. What is t?

-2, -1, 1, 2

Solve -¹⁶⁄₇*o4 - ⁸⁄₇*o3 + 2*o - ⁶⁄₇*o5 + ¹²⁄₇*o2 + ⁴⁄₇ = 0 for o.

-1, -²⁄₃, 1

Let i = -4 - -10. Let v(z) = -2*z + 14. Let r be v(i). Factor 7 - 5*cr + 4 - 31*c + 10*c + 25*c3 - 2.

(c + 1)*(5*c - 3)**2

Let o be -1 + ⁴⁴⁄₁₆ + 1. Let w(x) be the second derivative of 3*x2 - o*x4 + 0 - 13*x + ¹⁄₂*x3 + ³³⁄₂₀*x5 - ³⁄₁₀*x**6. Determine i so that w(i) = 0.

-¹⁄₃, 1, 2