Let q be (-17)/(-3) + 6/(-9). Let 2*k**3 + 3*k**3 + k**4 - 4*k**2 - 7*k**4 + q*k**3 = 0. Calculate k.

Let s be (-2 - -15) + ((-1023)/363 - 8). Factor -²⁄₁₁*k4 - ¹⁹²⁄₁₁*k - ¹²⁸⁄₁₁ - s*k3 - ¹⁰⁴⁄₁₁*k**2.

-2*(k + 2)2*(k + 4)²⁄₁₁

Suppose 2*l + 15 = -l, 0 = -3*j + 3*l + 24. Let r be (7 - (-65)/(-10))/((-62)/(-10) + -6). Factor -¹⁄₂*o4 - 2*oj - o - r*o**2 + 0.

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

Let l(v) be the third derivative of -¹⁄₁₈₄₈*v8 + 0*v + 0*v3 + 0 - ¹⁄₆₆₀*v6 - 32*v2 + ¹⁄₃₈₅*v7 - ¹⁄₁₁₀*v5 + ¹⁄₆₆*v**4. Let l(i) = 0. What is i?

-1, 0, 1, 2

Let z(f) = 19*f5 - 53*f4 + 80*f3 - 24*f2 + 4. Let c(b) = -b5 - 3*b4 + b**2 - 1. Let p(u) = 4*c(u) + z(u). Find v, given that p(v) = 0.

0, ¹⁄₃, 2

Let v(u) = 355*u + 30175. Let g be v(-85). Factor 0*x2 + ¹⁄₄*x3 + g - ¹⁄₄*x.

x(x - 1)(x + 1)/4

Solve -a4 + ²⁰⁄₃*a - 16 + ⁵⁄₃*a3 + ⁷⁶⁄₃*a**2 = 0.

-4, -1, ²⁄₃, 6

Let a = 32 + -26. Let f be (4/(-2))/(a/(-9)). Factor -2*c3 - 8*c - 2*cf - 215*c2 + 203*c2.

-4c(c + 1)*(c + 2)

Let -³²⁷⁶¹⁄₄ + ¹⁸¹⁄₂*k - ¹⁄₄*k**2 = 0. Calculate k.

181

Let l = -¹¹⁸²⁴⁷⁄₂ + 59124. Factor -t - ¹⁄₂*t**2 - l.

-(t + 1)**²⁄₂

Suppose 781 = 853*x - 2770 + 992. What is l in ²⁄₇*lx + ⁴⁄₇*l2 + 0 + ²⁄₇*l = 0?

-1, 0