Suppose 14*h = 15*h - 2. Factor -2924*v + 2937*v - 2*v**2 + 3*v**h.

Let c = 118 + -115. Let d(n) be the third derivative of -14*n2 - ¹⁄₅*n5 - ¹⁄₁₀*n6 - ¹⁄₆*n4 + 0 + 0*n + 0*nc - ²⁄₁₀₅*n7. Find a such that d(a) = 0.

-1, 0

Factor -⁵⁹⁶⁄₅*h2 + ⁵⁹⁶⁄₅ - ²⁄₅*h3 + ²⁄₅*h.

-2(h - 1)(h + 1)*(h + 298)/5

Suppose 117*r = 303 - 69. Solve -³⁄₇*br + 0*b + ³⁄₇*b3 + 0 = 0 for b.

0, 1

Let l(k) be the third derivative of 0*k5 + ¹⁄₁₆₂₀*k6 + 0*k4 - ⁵⁄₂*k3 + 0 - 8*k**2 + 0*k. Let j(b) be the first derivative of l(b). Factor j(d).

2*d**²⁄₉

Let t(z) be the third derivative of z⁷⁄₁₂₆ - 7*z⁶⁄₇₂ + z⁵⁄₂ - 25*z⁴⁄₁₈ + 20*z³⁄₉ - 1428*z2. Factor t®.

5*(r - 2)*3(r - 1)/3

Let g(k) be the first derivative of 2*k³⁄₂₇ + 7*k²⁄₃ + 551. Factor g(z).

2z(z + 21)/9

Let t(j) = -j2 + 11*j + 11. Let h be t(0). Suppose h*o - 10*o - 3 = 0. Determine g, given that ¹⁄₉*go + 0 + ²⁄₃*g**2 + g = 0.

-3, 0

Suppose 2*n - 4*t + 12 = 0, 0 = 26*n - 27*n - t + 6. Suppose -2*y - 2 = 0, -j + n*y = 2 - 6. Factor ¹⁄₁₂ - ¹⁄₆*x**j - ¹⁄₁₂*x.

-(x + 1)*(2*x - 1)/12

Factor ¹⁄₇*v3 + 0 + ¹⁸⁄₇*v2 - ⁴⁰⁄₇*v.

v(v - 2)(v + 20)/7

Let c(i) be the second derivative of 0 - ¹⁄₇₂₀*i6 + 2*i3 + 0*i2 - 6*i + ¹⁄₂₄*i4 - ¹⁄₂₄₀*i**5. Let g(k) be the second derivative of c(k). Factor g(y).

-(y - 1)*(y + 2)/2