Let n be 504/264 + 1/11. Let l(x) be the third derivative of 0*x**4 + 1/15*x**5 + 0*x**3 + 2/105*x**7 + 0*x + x**n - 1/15*x**6 + 0. Factor l(h).

Let m(v) be the second derivative of -4*v⁷⁄₁₀₅ + 34*v⁶⁄₇₅ - 34*v⁵⁄₂₅ + 5*v⁴⁄₃ - 4*v**³⁄₅ - 20*v + 25. Suppose m(z) = 0. Calculate z.

0, ¹⁄₂, 1, 6

Let u(w) be the third derivative of w⁵⁄₁₂ - 175*w⁴⁄₁₂ - 1534*w**2. Determine r so that u® = 0.

0, 70

Let u = ⁴⁄₇₄₉ + ²⁹⁸⁴⁄₂₂₄₇. Let g® be the third derivative of ¹⁄₂*r4 + 2*r2 - u*r3 + 0 + 0*r - ¹⁄₁₅*r5. What is n in g(n) = 0?

1, 2

Suppose 0 = -d + 13d + 240. Let x be (648/d)/6(-1)/6. Find h such that ²⁷⁄₁₀ + x*h2 + ¹⁄₁₀*h3 + ²⁷⁄₁₀*h = 0.

-3

Let z® = -3*r2 - 3*r - 6. Let g(d) = -8*d2 - 8*d - 18. Suppose -21*w + 48 = -29*w. Let c(q) = w*g(q) + 17*z(q). Suppose c(i) = 0. What is i?

-2, 1

Let y = 3859 + -3854. Let i(g) be the second derivative of ¹⁄₁₂₀*gy + 12*g - ¹⁄₁₈₀*g6 + ¹⁄₃₆*g4 + 0 + 0*g2 + 0*g**3. Factor i(u).

-u*2(u - 2)*(u + 1)/6

Let r(n) be the second derivative of -n⁴⁄₆₀ - 157*n³⁄₃₀ + 27*n. Let r(i) = 0. Calculate i.

-157, 0

Let n(k) be the first derivative of -38 - ²⁄₅₅*k5 + ³²⁄₁₁*k2 - ¹²⁸⁄₁₁*k + ⁸⁄₁₁*k3 - ²⁄₁₁*k4. Solve n(l) = 0.

-4, 2

Let j(s) be the second derivative of ²⁄₁₅*s6 - 25 + 0*s3 + 2*s4 + 0*s2 - s**5 - s. Factor j(f).

4*f*2(f - 3)*(f - 2)

Let u = -613 - -353. Let m = 260 + u. Solve 0*a - ⁸⁄₉*a3 + ²⁄₉*a4 + m + ²⁄₃*a**2 = 0 for a.

0, 1, 3