Let t(k) = k**2 - 6*k. Let a be 9 + 4/(-7) + (-21)/49. Let i(o) = -a*o + 12*o - 5*o. Let s(x) = 5*i(x) - t(x). Factor s(p).

Determine b, given that ³⁹²⁄₁₇*b + 0 - ⁵⁶⁄₁₇*b2 + ²⁄₁₇*b3 = 0.

0, 14

Determine j, given that 54*j5 + 10522*j2 - 186*j4 - ⁷⁰⁶⁶⁄₃*j3 + ¹⁴⁰⁰⁄₃ - 4320*j = 0.

-7, ²⁄₉, 5

Let r be -39*⁸²⁄₉₅₉₄ - (-1)/3. Determine w so that 0 + r*w2 + ¹⁄₆*w5 + w4 + ⁴⁄₃*w3 + 0*w = 0.

-4, -2, 0

Let b(i) be the first derivative of -i³⁄₁₂ + 25*i²⁄₈ - 63*i/2 + 1046. Solve b(z) = 0.

7, 18

Let q(l) = l3 - 23*l2 + 2*l - 44. Let z be q(23). Let -42*cz - 137*c4 + 4*c5 - 6*c2 + 55*c4 + 16*c + 52*c3 + 58*c**4 = 0. Calculate c.

0, 1, 2

Let m = 115 - 110. Let g(z) be the third derivative of -¹⁄₃₀*zm + ¹⁄₁₂*z4 + 0 + 0*z + 6*z2 + ²⁄₃*z3. Find y such that g(y) = 0.

-1, 2

Let r(f) = 2*f + 21. Let a be r(-6). Let s be a - (-385)/(-44) - (-11)/20. Find n such that 0*n + 0*n2 + 0 + 0*n3 - s*n4 + ¹⁴⁄₅*n5 = 0.

0, ²⁄₇

Let z(y) be the second derivative of -2*y⁷⁄₇ - 7*y⁶⁄₃ + 79*y⁵⁄₅ - 121*y⁴⁄₆ - 32*y³⁄₃ + 36*y2 + 3*y - 504. Determine x, given that z(x) = 0.

-9, -¹⁄₂, ²⁄₃, 1, 2

Suppose -8 + 41 = 27*j - 75. Let y(d) be the second derivative of -dj + 0 - ⁴⁄₃*d3 + 0*d2 + 0*d5 + ²⁄₁₅*d**6 + 11*d. Suppose y(s) = 0. What is s?

-1, 0, 2

Let l be ¹⁸⁄₃₀*(-4200)/(-480). Factor ³⁄₄*h**2 + l + 6*h.

3(h + 1)(h + 7)/4