Let c(x) be the third derivative of x**7/42 + 5*x**6/24 + 3*x**5/8 - x**3/3 - 18*x**2 - 2*x. Let t(v) be the first derivative of c(v). Factor t(y).

What is r in ²⁄₅*r3 - ¹²²⁄₅*r + ¹²⁶⁄₅ - ⁶⁄₅*r2 = 0?

-7, 1, 9

Suppose -4*t - 15 = -2*x + 37, -4*t - 58 = -5*x. Let k be (8/t)/(4/(-3)). Solve g + k + ¹⁄₂*g**2 = 0.

-1

What is z in 29 + 163*z + 172*z - 328*z2 - 397*z2 + 171 + 205*z3 - 15*z4 = 0?

-¹⁄₃, 1, 5, 8

Let s be ((-22044)/96 + 0)*-1*2. Let i = s - 459. Suppose ¹⁄₄*r**2 - i + 0*r = 0. What is r?

-1, 1

Suppose -f = 5*v - 72, 326 - 288 = 3*v - 2*f. Let b(n) be the second derivative of ⁶⁴⁄₁₅*n3 + v*n + ⁷⁷⁄₁₅*n4 + 0 + ⁸⁄₅*n2 + ⁴⁹⁄₂₅*n5. Factor b(y).

4(y + 1)(7*y + 2)**²⁄₅

Let n be (-2 - 5/(-4))*8*9. Let a be (8/(-3))/((-9)/(n/(-20))). Suppose ⁴⁄₅*m4 + 0*m + a*m3 - ⁸⁄₅*m**2 + 0 = 0. What is m?

-2, 0, 1

Let w(j) be the first derivative of -5 - 12*j2 + ⁷¹⁄₃*j3 + 15*j4 - 16*j - 20*j5. What is t in w(t) = 0?

-¹⁄₂, ⁴⁄₅

Determine p so that -8*p2 + 884*p + 66*p3 + 911*p + 2*p5 + 28*p4 - 1883*p = 0.

-11, -2, 0, 1

Let u = 29 + -26. Suppose -93*g2 - 3*g3 + u*g - 2 + 93*g2 + 2*g3 = 0. What is g?

-2, 1

Let i(x) = 92*x4 - 86*x3 + 56*x2 + 124*x + 11. Let k(u) = 33*u4 - 29*u3 + 19*u2 + 41*u + 4. Let o(b) = 4*i(b) - 11*k(b). Factor o©.

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