Let b(t) = 15*t - 64. Let o be b(12). Factor 24*a - o*a2 + 293*a4 - 66*a3 + 186*a3 - 321*a**4.

-4a(a - 3)(a - 1)(7*a - 2)

Factor -1⁄4*q**2 + 205⁄4*q + 103⁄2.

-(q - 206)*(q + 1)/4

Suppose -1 + 1 = 13*c + 4*c. Let l(a) be the third derivative of -1⁄20*a5 + c*a + 3*a2 - 3⁄8*a4 + 0*a3 + 0. Factor l(b).

-3b(b + 3)

Let b® be the third derivative of -r8⁄2520 + 43*r6⁄900 - 7*r5⁄75 + 87*r2 - 1. Solve b(n) = 0 for n.

-7, 0, 1, 6

Let t = -56442 - -56444. Factor 4⁄5*c3 + 6⁄5*ct - 2⁄5*c**4 + 0 + 0*c.

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

Let z be 2*((-462)/56)/33 - (-69)/42. Factor -1⁄7*q4 + 3⁄7*q2 - 4⁄7*q**3 - z + 10⁄7*q.

-(q - 1)*2(q + 2)*(q + 4)/7

Let w(p) = 14*p2 - 94*p + 92. Let g be w(1). Let s(v) be the first derivative of g*v + 15⁄2*v2 + v**3 + 3. Find t, given that s(t) = 0.

-4, -1

Determine p so that -80⁄3*p2 - 50⁄3*p3 - 14⁄3 - 10⁄3*p4 + 1⁄3*p5 - 55⁄3*p = 0.

-1, 14

Let w = 4339⁄204 + -1072⁄51. Factor -w*q**2 - 3*q - 5.

-(q + 2)*(q + 10)/4

Suppose 0 = 4*y - 4*r + 4, y - 5*r = -3*r - 4. Let l(a) be the first derivative of 0*ay + 0*a - 2⁄85*a5 - 1⁄17*a4 + 8 - 2⁄51*a3. Factor l(d).

-2*d2*(d + 1)2⁄17