Let j(o) be the third derivative of o**6/280 + o**5/35 - 19*o**4/56 + o**3 + 607*o**2. Suppose j(v) = 0. What is v?

Factor -10*r3 - 82*r2 - 12*r - 48*r3 + 54*r - 54*r + 12*r4.

2r(r - 6)(r + 1)(6*r + 1)

Let u(s) = 4*s - 12. Let q be u(4). Let k be (-2 - 6 - -1)*q/(-7). Factor 3*x + k*x4 - 3*x3 - 5*x4 + 3 - 5 - x2 + 4.

-(x - 1)*(x + 1)*2(x + 2)

Suppose 0 = -4*b - 3*a + 6, a + 0 = -2*b + 2. Let v be 0 + (6 - b) + -4. Solve -²⁄₃ + ²⁄₃*h - ¹⁄₆*h**v = 0 for h.

2

Let h(n) = 2985*n. Let q be h(0). Suppose ¹⁵⁹⁄₈*s3 + ³⁄₂*s + q + ²⁷⁄₈*s5 + ⁵⁷⁄₄*s4 + ²¹⁄₂*s2 = 0. What is s?

-2, -1, -²⁄₉, 0

Solve 1440 + 5561*p - 14*p4 - 979*p3 + 115*p5 - 64*p4 - 142*p4 + 2530*p2 - 1686*p**3 + 11239*p = 0.

-3, -²⁄₂₃, 4

Let t(b) be the second derivative of b⁷⁄₂₅₂ - 71*b⁶⁄₁₈₀ - 29*b⁵⁄₂₄ - 73*b⁴⁄₇₂ - 552*b. Factor t(f).

f2(f - 73)(f + 1)²⁄₆

Factor ¹⁄₁₀*v3 + ²³⁄₁₀*v - ¹³⁄₁₀*v2 - ¹¹⁄₁₀.

(v - 11)*(v - 1)**²⁄₁₀

Let c(p) be the first derivative of 15*p + 20*p4 - ⁴⁰⁄₃*p3 - 23 - ⁵⁵⁄₂*p**2. Factor c(f).

5(f - 1)(4f - 1)(4*f + 3)

Find a such that ⁵⁄₂*a4 + ⁵⁰⁵⁄₂*a2 - ¹⁰⁵⁄₂*a**3 - ⁸⁵⁵⁄₂*a + 225 = 0.

1, 2, 3, 15

Let z(q) be the first derivative of -q⁷⁄₅₆₀ + q⁶⁄₂₄₀ - q**³⁄₃ + q + 46. Let a(j) be the third derivative of z(j). Factor a(b).

-3*b*2(b - 1)/2