Let m(v) be the second derivative of -4*v**7/105 + 34*v**6/75 - 34*v**5/25 + 5*v**4/3 - 4*v**3/5 - 20*v + 25. Suppose m(z) = 0. Calculate z.

Let i be -16 - 17110/(-1239) - 3/(9/(-7)). Determine f, given that -i*f**2 + ⁶⁄₇*f + 0 = 0.

0, 6

Suppose 7743*t + 48 = 7759*t. Let n(d) be the first derivative of -¹⁄₃*d3 + ¹⁄₂*d2 + t + 0*d. Factor n(x).

-x*(x - 1)

Factor -⁴⁶⁵⁄₄*m4 + ¹⁄₄*m5 - ^3723875⁄₄*m2 + 0*m + 0 + ⁷²⁰⁷⁵⁄₄*m3.

m2*(m - 155)³⁄₄

Let j(l) be the first derivative of -l⁴⁄₂₀ + 47*l³⁄₃ - 467*l**²⁄₁₀ + 233*l/5 + 17. What is w in j(w) = 0?

1, 233

Let q(t) be the second derivative of 4*t⁷⁄₂₁ - 22*t⁶⁄₁₅ - t5 + 56*t⁴⁄₃ + 32*t**3 + 1626*t. Suppose q(a) = 0. What is a?

-³⁄₂, -1, 0, 4

Let l(y) = -40*y2 - 186*y + 160. Let q(x) = -7*x2 - 2*x - 2. Let r(h) = l(h) - 6*q(h). Factor r(j).

2(j - 86)(j - 1)

Let p® = -3*r2 + 141*r - 142. Let j(q) = -12*q2 + 561*q - 567. Let d(x) = -2*j(x) + 9*p(x). Factor d(w).

-3(w - 48)(w - 1)

Let b(p) be the second derivative of -p⁷⁄₈₄₀ - 7*p⁶⁄₁₂₀ + 3*p⁵⁄₈ - 11*p⁴⁄₂ + 32*p. Let y(u) be the third derivative of b(u). Factor y(t).

-3(t - 1)(t + 15)

Let 68 - ²⁄₅*n**2 + ¹⁴⁄₅*n = 0. What is n?

-10, 17

Let m(l) be the third derivative of 841*l⁶⁄₃₀ - 928*l⁵⁄₁₅ + 119*l⁴⁄₈ - 3*l³⁄₂ + 258*l**2. Factor m®.

(r - 1)*(58*r - 3)**2