Let v(y) = -14*y**3 + 30*y**2 - 10*y + 12. Let b(h) = -5*h**3 + 10*h**2 - 3*h + 6. Let t(m) = -11*b(m) + 4*v(m). Let t(f) = 0. Calculate f.

Factor ¹⁄₂*q3 + ⁵⁄₂*q + 0 + ¹³⁄₄*q2 - ¹⁄₄*q**4.

-q(q - 5)(q + 1)*(q + 2)/4

Determine m so that -⁵⁄₃*m**2 - ⁵⁵⁄₃*m - 40 = 0.

-8, -3

Let l© be the first derivative of -¹⁵⁄₄*c2 + ¹⁵⁄₈*c4 + 45 + 5*c - ¹⁄₂*c5 - ⁵⁄₆*c3. Determine y so that l(y) = 0.

-1, 1, 2

Let f(g) be the second derivative of -5*g⁴⁄₄ + 395*g³⁄₆ - 65*g**2 + 1378*g. Factor f(s).

-5(s - 26)(3*s - 1)

Let a = -1293 - -1295. What is f in -¹⁵⁄₄*f - ¹⁄₂ - ⁷⁄₄*f**a = 0?

-2, -¹⁄₇

Suppose 0 = -5*v + 45 + 15. Find z, given that 6 - 19*z3 + 44*z + 8*z4 - 12*z4 + 7*z3 + v*z**2 + 18 = 0.

-3, -1, 2

Let u(w) be the third derivative of -14*w2 - ¹⁄₃₆₀*w6 + 0*w + 0 + ¹¹⁄₁₈₀*w5 - ⁴⁄₉*w4 + ¹⁴⁄₉*w**3. Factor u(q).

-(q - 7)*(q - 2)**²⁄₃

Let i = 13983 - ¹²⁵⁸³⁹⁄₉. What is m in -¹⁄₉*m4 - ⁸⁄₉*m + i*m3 - ²⁄₃*m**2 + ⁷⁄₉ = 0?

-1, 1, 7

Let m be 578/(-68) + (2 - (-28)/4). Factor 2*o + 2 + m*o**2.

(o + 2)**²⁄₂

Let o(d) be the second derivative of d⁴⁄₃₂ + 9*d³⁄₄ + 4*d + 74. Factor o(q).

3q(q + 36)/8