Let m = -84012 - -84015. What is b in 3/2*b**2 + 3/2*b**m - 3/2 - 3/2*b = 0?

Let a(b) = 12*b3 + 56*b2 + 76*b + 30. Let m(t) = 13*t3 + 58*t2 + 77*t + 29. Let y(n) = 3*a(n) - 2*m(n). Factor y(u).

2*(u + 1)*2(5*u + 16)

Let s be 783 - (2 + -1) - (27 - 24). Let h be 41/s*4*1. Factor -²⁄₁₉*z4 - h*z + ⁴⁄₁₉*z3 + ²⁄₁₉ + 0*z**2.

-2*(z - 1)*3(z + 1)/19

Let d be 6726/(-190) - -44 - ¹⁴⁄₂. Find i, given that ⁴⁄₁₅ + d*i2 - ²²⁄₁₅*i + ⁶⁄₅*i3 = 0.

-2, ¹⁄₃

Factor -972*v - ³⁵¹⁄₂*v2 + 648 - ¹⁵⁄₂*v3.

-3*(v + 12)*2(5*v - 3)/2

Let g(p) be the first derivative of -p⁴⁄₄₀ - p³⁄₃₀ + p**²⁄₂₀ + p/10 - 1259. Factor g(f).

-(f - 1)*(f + 1)**²⁄₁₀

Let n be (-4)/(-21)*(-6)/(-32)*4. Let d = -¹⁄₃₀ + ³⁷⁄₂₁₀. Determine p, given that -d*p**2 + ²⁄₇ - n*p = 0.

-2, 1

Find p such that -⁸⁄₁₅*p3 - ⁴⁄₁₅*p2 + ²⁄₃*p - ²⁄₁₅*p5 - ⁴⁄₁₅ + ⁸⁄₁₅*p4 = 0.

-1, 1, 2

Let d be 4/(-6)*(3 + -9). Suppose -60 = f - d*f. Factor -f*c + 28*c2 + 2 - c3 + 2 + 0*c3 - 11*c3.

-4*(c - 1)*2(3*c - 1)

Let c(p) be the third derivative of p⁶⁄₇₂₀ + 5*p⁵⁄₃₆ + 47*p⁴⁄₃₆ + 46*p³⁄₉ - 50*p**2 - 6. Suppose c(n) = 0. Calculate n.

-46, -2

Let r = -13 - -17. Suppose 0 = -11*f + 9*f + r. Solve -p**f + 8*p - 10 - 9 + 1 + 2 = 0 for p.

4