Let s(p) be the second derivative of p**5/40 + 281*p**4/24 + 10*p + 22. Factor s(w).

Factor 0 + ²⁴¹⁄₅*h + ¹⁄₅*h**2.

h*(h + 241)/5

Suppose -1240 = -73*k - 1021. Let ¹⁄₄*nk - ³⁄₄*n2 + ¹⁄₂*n + 0 = 0. Calculate n.

0, 1, 2

Let w(t) = 4*t2 - 445*t - 924. Let i(u) = -4*u2 + 446*u + 920. Let r(b) = 3*i(b) + 2*w(b). Factor r(p).

-4(p - 114)(p + 2)

Factor ¹⁄₄*s3 + ⁹⁄₄*s + 0 + ³⁄₂*s2.

s*(s + 3)**²⁄₄

Let q be (9 + -6)*²⁄₆. Let m be 104/(-84) + (-4)/(-6) + q. Let ¹⁸⁄₇*b + ²⁷⁄₇ + m*b**2 = 0. What is b?

-3

Let p(k) be the first derivative of 4*k⁵⁄₅ - 1972*k4 + 1944392*k3 - 958585256*k2 + 236291265604*k + 783. Solve p(f) = 0 for f.

493

Suppose 31 = 3*c + 10. Find z such that -10*z + 2 - 42 + 7 - c + 5*z**2 = 0.

-2, 4

Let p® = -117*r - 1166. Let t be p(-10). Let o(n) be the third derivative of ¹⁄₆₀*nt - ¹⁄₃₀₀*n6 + 0 + 0*n + 17*n2 - ¹⁄₁₅₀*n5 + ¹⁄₁₅*n**3. Factor o(f).

-2(f - 1)(f + 1)**²⁄₅

Let a be 270/(-14) + (1534 - 1513). Factor ⁹⁄₇*v3 - a*v + 0*v2 + 0 - ³⁄₇*v**4.

-3v(v - 2)*2(v + 1)/7

Let w(x) = 10*x + 11*x2 + x2 + 2 - 7*x**2. Suppose 45*v - 49*v = 8. Let l(a) = -1. Let d® = v*l® - w®. Determine m so that d(m) = 0.

-2, 0