Let c(u) be the first derivative of u**4 - 56*u**3/3 + 48*u**2 - 1561. Suppose c(o) = 0. What is o?

Find o, given that ³⁴⁄₉*o2 - ⁸⁄₃ - ¹⁰⁄₉*o4 - ³⁸⁄₉*o3 + ³²⁄₉*o + ²⁄₃*o5 = 0.

-2, -1, ²⁄₃, 1, 3

Let g(n) be the second derivative of -n⁶⁄₉₀ - 3*n⁵⁄₁₀ - 97*n⁴⁄₃₆ - 8*n3 - 32*n**²⁄₃ + 338*n. Let g(x) = 0. Calculate x.

-8, -1

Let f(s) be the third derivative of s⁶⁄₂₇₀ - 374*s⁵⁄₁₃₅ + 17296*s⁴⁄₂₇ + 141376*s³⁄₂₇ + 182*s**2 + 2*s. What is j in f(j) = 0?

-2, 188

Let j be 2/(((-20)/(-84))/5). Let m = j + -30. Suppose m*q**2 - 17 + 28 - 25*q + 5*q - 19 = 0. What is q?

-¹⁄₃, 2

Let p(k) = -k2 + k. Let w(j) = 3*j2 - 12*j + 2. Let i be w(4). Let l(x) = -47*x - 529. Let z(m) = i*p(m) + 2*l(m). Solve z® = 0 for r.

-23

Let y be 7/(28/(-12)) - (-1 - 4). Suppose y*m - 242 + 24 = 4*d, -3*d + 253 = 2*m. What is a in -9 + 25*a**2 - 164*a + m*a - 1 = 0?

-¹⁄₅, 2

Suppose -54*p + 34 = 4*k - 52*p, -k + 11*p = 72. Factor -¹⁄₂*gk + 0 - g2 + 0*g4 + 0*g + ³⁄₂*g3.

-g2*(g - 1)2*(g + 2)/2

Let z(s) = -s3 - 33*s2 + 182*s + 44. Let k be z(5). Factor -²⁄₁₅*j3 + ²⁄₁₅*jk + ²⁄₁₅*j + 0 - ²⁄₁₅*j**2.

2j(j - 1)*2(j + 1)/15

Suppose 2*h + 18 = 170*k - 166*k, 4*k - 4*h - 28 = 0. Let g be ¹²⁄₂₀ + 6/(-10). Factor 0*qk - ¹⁄₂*q3 + g + ¹⁄₂*q.

-q(q - 1)(q + 1)/2

Let h(b) be the first derivative of -b⁵⁄₅ + b⁴⁄₂ + 4*b3 - 4*b2 - 32*b + 89. Factor h(z).

-(z - 4)(z - 2)(z + 2)**2