Let s(m) = 7*m**3 + 117*m**2 + 110*m + 8. Let w(x) = -6*x**3 - 117*x**2 - 111*x - 6. Let l(k) = 3*s(k) + 4*w(k). Suppose l(d) = 0. What is d?

Let j(o) be the third derivative of o⁶⁄₂₈₀ + o⁵⁄₃₅ - 19*o⁴⁄₅₆ + o3 + 607*o**2. Suppose j(v) = 0. What is v?

-7, 1, 2

Let v be ((-1488)/(-54))/8 - -2*(-30)/20. Factor ³²⁄₉ - 4*d + v*d**2.

4(d - 8)(d - 1)/9

Let p = -¹⁹⁹²⁵⁹⁄₄₅ + 4428. Let r(f) be the third derivative of -¹⁄₇₂*f4 - 10*f2 + 0 + 0*f3 - p*f5 + 0*f. Factor r(j).

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

Let u = -257 + 424. Let q = -164 + u. Factor 0*h + ⁴⁄₁₇*h2 + 0 - ¹⁰⁄₁₇*hq.

-2*h*2(5*h - 2)/17

Let z(d) be the third derivative of -d⁸⁄₃₅₂₈ + 11*d⁷⁄₇₃₅ - 143*d⁶⁄₁₂₆₀ + 79*d⁵⁄₆₃₀ + 4*d⁴⁄₇ - 16*d³⁄₉ + 1039*d**2. Determine b, given that z(b) = 0.

-1, 1, 4, 28

Let b be 9/((-1539)/(-18))*19. Determine v, given that ²⁄₁₁*v**2 + b*v + ²⁰⁄₁₁ = 0.

-10, -1

Let n(u) be the third derivative of -u⁶⁄₉₀ + u⁵⁄₄₅ + 8*u⁴⁄₉ - 32*u³⁄₉ - 23*u**2 + 2*u. Factor n(j).

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

Let l(n) be the third derivative of 0*n + ¹⁄₆₀*n5 + 0 + ¹⁷⁄₁₂*n4 + ²⁸⁹⁄₆*n3 + 10*n2. Determine j so that l(j) = 0.

-17

Let k be (⁴⁰⁄₂₄)/((-2)/(-12)). Suppose -17*f4 - 2*f - 6*f2 + 14*f3 - 2*f - k*f5 + 27*f4 - 4*f4 = 0. Calculate f.

-1, -²⁄₅, 0, 1

Let t(d) be the third derivative of -d⁵⁄₁₈₀ - 7*d⁴⁄₁₈ + 1502*d**2. Factor t(q).

-q*(q + 28)/3