Determine i so that -72 - 168*i**2 - 180*i - 224/3*i**3 - 4/3*i**5 - 16*i**4 = 0.

Let b(s) = -s3 - 37*s2 - 33*s + 45. Let x be b(-36). Let n be ⁶⁵⁷⁄₉₄₅ - (-6)/x. Factor -¹⁄₅*g2 - n*g4 + ³⁄₅*g3 + 0*g + 0 + ¹⁄₅*g5.

g2*(g - 1)³⁄₅

Suppose ¹⁸⁰⁰⁄₇*w2 + ¹⁶⁄₇*w3 + ²⁶⁷³⁄₇*w + ⁹⁹⁹⁄₇ = 0. Calculate w.

-111, -³⁄₄

Let n be ((-12)/(-28))/((-84)/(-147)) - ¹³⁄₂₈. Solve -n*w5 + 0 + ²⁄₇*w3 + 0*w2 + 0*w + 0*w4 = 0 for w.

-1, 0, 1

Let v(x) = 131*x2 + x4 - 2 - 3*x + x3 - 131*x2. Let c(f) = f**3 + f + 1. Let g(y) = -5*c(y) - 5*v(y). Factor g(o).

-5(o - 1)(o + 1)**3

Let h(f) = -49*f + 1617. Let s be h(33). Suppose 3*n - 6 = -q + 5, -5*n - 4*q + 9 = 0. Factor ¹⁄₃*m3 - ¹⁄₃*m2 + ¹⁄₃*m4 - ¹⁄₃*mn + s + 0*m.

-m2*(m - 1)2*(m + 1)/3

Let l(d) = 105*d3 + 208*d2 + 93*d - 6. Suppose 42 = 7*b + 70. Let f(v) = 105*v3 + 209*v2 + 93*v - 6. Let s(h) = b*f(h) + 5*l(h). Factor s(w).

3*(w + 1)*2(35*w - 2)

Let c(w) be the second derivative of -2*w⁶⁄₁₅ - w⁵⁄₅ + 10*w4 + 48*w3 - 746*w. Factor c(s).

-4s(s - 6)(s + 3)(s + 4)

Let m = -⁴⁄₁₈₈₁ + ¹⁸⁸⁹⁄₃₇₆₂. Let i(t) be the third derivative of -m*t4 - ¹⁄₂₀*t5 - 4*t2 - ¹⁄₄₈₀*t6 - ⁸⁄₃*t**3 + 0*t + 0. Factor i(f).

-(f + 4)**³⁄₄

Let l(p) be the first derivative of -2*p⁴⁄₃ + 7*p³⁄₉ + 17*p**²⁄₆ + 2*p/3 + 1018. Factor l(b).

-(b - 2)(b + 1)(8*b + 1)/3

Suppose 30 = 3*m - 9*f + 11*f, -5*f = -5m + 75. Let x be 10/m(-81)/360*-8. What is n in -³⁄₂ - x*n**2 - 3*n = 0?

-1