Let i(z) be the first derivative of 2*z**3/9 + 60*z**2 - 362*z/3 - 452. Find g, given that i(g) = 0.

Let f(p) be the first derivative of p⁶⁄₉ - 56*p⁵⁄₁₅ + 17*p4 - 296*p³⁄₉ + 97*p**²⁄₃ - 16*p + 322. Factor f(k).

2(k - 24)(k - 1)**⁴⁄₃

Solve -²⁷²⁄₁₁ - ²⁄₁₁*y4 + ⁶²⁄₁₁*y3 + ⁸⁄₁₁*y + ²⁰⁴⁄₁₁*y**2 = 0.

-2, 1, 34

Let h = -12 + 17. Suppose 0*c - 1 = 3*x - 5*c, 0 = -2*x - h*c + 16. Determine s, given that 0*s3 + 4*sx - s5 - 2*s2 + 45 + 2*s**4 - 45 - 3*s = 0.

-1, 0, 1, 3

Let i(l) = 2*l2 - 14*l. Let y(o) = 6*o2 - 29*o. Let p(d) = -11*i(d) + 4*y(d). Factor p(f).

2f(f + 19)

Let d(v) be the second derivative of v⁷⁄₇₅₆₀ - 7*v⁶⁄₂₁₆₀ + v⁵⁄₃₆ - v⁴⁄₁₂ + 5*v**³⁄₂ - 21*v. Let m(t) be the third derivative of d(t). Factor m(p).

(p - 5)*(p - 2)/3

Let y = -106872 - -106875. Suppose ³⁄₄*p - ¹⁄₄*py - ¹⁄₂ + 0*p2 = 0. Calculate p.

-2, 1

What is r in 7*r - ⁴⁄₃*r2 + 0 - ¹⁄₃*r3 = 0?

-7, 0, 3

Let x(k) be the third derivative of k⁵⁄₈₀ - 189*k⁴⁄₈ + 35721*k³⁄₂ + 241*k2. Solve x(n) = 0.

378

Let s be (¹¹⁶⁄₁₄₅)/(-1*2/(-115)). Factor -7*m3 + 12*m + 88*m4 - 2*m3 - s*m4 - 45*m**4.

-3m(m - 1)*(m + 2)**2

Let p(w) be the second derivative of -¹⁄₆*w4 - ²⁸⁄₃*w3 - 196*w**2 + w - 2. Solve p(a) = 0.

-14