Let v(h) be the second derivative of h3 + 0 - 1⁄20*h5 + 4*h2 - 1⁄8*h4 - 11*h. Let b(g) be the first derivative of v(g). Let b(a) = 0. What is a?

-2, 1

Suppose -10*j + 11*j - 9 = -5*v, -3*v = 5*j + 21. Let x be (-6 - j) + 9⁄90. Let 0 - x*k3 + 1⁄10*k + 2⁄5*k4 - 2⁄5*k**2 = 0. What is k?

-1, 0, 1⁄4, 1

Factor -2*h5 - 96 + 194*h + 46*h2 - 153*h3 + 62*h4 - 50*h2 - 39*h3 + 38*h4 + 0*h5.

-2(h - 48)(h - 1)*3(h + 1)

Let f(v) be the third derivative of v5⁄20 - 17*v4 - 138*v3 - 259*v2. Suppose f(s) = 0. Calculate s.

-2, 138

Let g® be the first derivative of -r3⁄5 - 48*r2⁄5 - 93*r/5 - 48. Factor g(z).

-3(z + 1)(z + 31)/5

Let y(x) be the first derivative of -38*x4 + 110*x3⁄3 + 41*x**2⁄2 + x - 1131. Factor y(d).

-(d - 1)*(4d + 1)(38*d + 1)

Let i(s) be the second derivative of 4⁄13*s2 - 69⁄130*s5 - 12⁄13*s3 + 83⁄78*s4 - 2*s + 0 + 6⁄65*s**6. Let i(o) = 0. Calculate o.

1⁄6, 2⁄3, 1, 2

Suppose 37882*k2 - 17*k4 + 1088*k3 + 72900 + 146880*k + 21*k4 + 37182*k**2 = 0. Calculate k.

-135, -1

Factor -629⁄3*u4 - 1⁄6*u5 - 12171810*u2 - 526681⁄6*u3 - 12348000 + 24607800*u.

-(u - 1)2*(u + 420)3⁄6

Let m(u) = u4 + 98*u2 - 121*u + 10. Let y(f) = -f4 - 4*f3 - 99*f**2 + 120*f - 12. Let d(h) = -6*m(h) - 5*y(h). Determine p, given that d(p) = 0.

0, 3, 14