Let f(p) = p**2 - 3227*p + 649636. Let a(r) = -4*r**2 + 9680*r - 1948908. Let k(d) = 3*a(d) + 8*f(d). Solve k(o) = 0.

Let m = 42 + -38. Suppose -110 = -5*d + 3*i, -m*d - 2*i = i - 88. Suppose -11*y2 - 48*y3 - 283*y + 277*y - 21*y4 - d*y2 = 0. What is y?

-1, -²⁄₇, 0

Let -1161*b3 + 2315*b3 - 1153*b3 - 25*b - 51 + 15*b2 - 12*b = 0. Calculate b.

-17, -1, 3

Suppose 16*m - 9*m = 93*m. Let l(s) be the first derivative of ⁴⁄₅*s2 + 0*s - 17 + m*s3 - ¹⁄₃*s6 - ³⁶⁄₂₅*s5 - ¹⁷⁄₁₀*s**4. Solve l(j) = 0 for j.

-2, -1, 0, ²⁄₅

Suppose 0 = 4*o - 5*s + 1 - 13, -4*s = -2*o. Let r = o + -7. Let r - 4 + 3*d + 12*d + 13*d**2 + 5 = 0. Calculate d.

-1, -²⁄₁₃

Let u = 2805 - 2796. Let p(f) be the third derivative of ⁵⁄₂*f4 - ³⁄₇₀*f7 + 0 - u*f2 + 0*f - 2*f3 - ²⁹⁄₂₀*f5 + ²⁄₅*f6. Find t, given that p(t) = 0.

¹⁄₃, 1, 2

Let m be (-2)/2 - 1*-15. Let 18*v - 4*v2 + 26 - 12*v4 - 32*v**3 - 10 + m*v = 0. Calculate v.

-2, -1, -²⁄₃, 1

Let g(p) be the first derivative of 7*p⁶⁄₆₀₀ - 3*p⁵⁄₁₀₀ + p⁴⁄₆₀ - 2*p2 - 14*p - 36. Let m(h) be the second derivative of g(h). Factor m(q).

q(q - 1)(7*q - 2)/5

Factor 996*t2 - 999*t2 - 73*t + 324 + 51*t - 299*t.

-3(t - 1)(t + 108)

Let d(f) = -f + 7. Let a be d(5). Let o = 214 + -210. Determine c so that 14*c3 - co - 5*c2 - 33*c3 + 15*c**3 - a*c = 0.

-2, -1, 0

Let u(z) be the first derivative of -7*z6 + 243*z⁵⁄₅ - 255*z⁴⁄₄ - 80*z3 + 126*z**2 - 48*z + 1466. Suppose u(w) = 0. Calculate w.

-1, ²⁄₇, ¹⁄₂, 2, 4