Let m = -84012 - -84015. What is b in 3⁄2*b2 + 3⁄2*bm - 3⁄2 - 3⁄2*b = 0?

-1, 1

Suppose -2*q = 499 - 2569. Let w be 1290/q + 6⁄69. Factor -w + 1⁄3*u**2 - u.

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

Let i(f) be the third derivative of 29*f2 + 0*f3 - 5⁄64*f4 + 0*f + 1⁄40*f5 + 0 + 1⁄320*f**6. Solve i(s) = 0 for s.

-5, 0, 1

Factor 12498 + 495*y + 12944 - 24944 - 3*y**2.

-3(y - 166)(y + 1)

Let a(w) = -11*w2 + 525*w - 528. Let g(i) = -25*i2 + 1050*i - 1060. Let y(k) = 5*a(k) - 2*g(k). Factor y(u).

-5(u - 104)(u - 1)

Let k = -113 - -116. Suppose 1 + 2*u4 - 4*u2 - 23*u3 + 5 + 15*uk - 4*u**4 + 8*u = 0. Calculate u.

-3, -1, 1

Let m® = -5*r2 + 22*r + 27. Suppose -5*n + 123 = 133. Let g(b) = -10*b2 + 45*b + 55. Let k(p) = n*g(p) + 5*m(p). Suppose k(v) = 0. What is v?

-1, 5

Let a(j) = 29*j + 208. Let b be a(-7). Suppose -b*s = 4*s + s. Factor s - 8⁄9*v4 + 4⁄3*v3 - 8⁄9*v2 + 2⁄9*v5 + 2⁄9*v.

2v(v - 1)**4⁄9

Factor -320⁄3 - 88*m2 + 496⁄3*m + 52⁄3*m3 - 2⁄3*m**4.

-2(m - 20)(m - 2)**3⁄3

Factor 8⁄5*v2 - 6*v + 8⁄5*v3 - 36⁄5.

2(v - 2)(2*v + 3)**2⁄5