Let n(l) be the second derivative of l**5/35 - 12*l**4/7 - 8*l**3/21 + 288*l**2/7 + 98*l + 2. Find i, given that n(i) = 0.

Suppose -184*v = -255*v. Let t® be the second derivative of ¹⁄₆*r3 + ¹⁄₈₀*r5 + 17*r + v + 0*r2 + ¹⁄₁₂*r4. Factor t(f).

f*(f + 2)**²⁄₄

Let n be (30/(-12) + 3 + -4)10. Let f be (-5)/(-8)(-42)/n. Determine o so that f + o**2 - ⁷⁄₄*o = 0.

³⁄₄, 1

Let s(b) be the first derivative of b⁴⁄₅ - 44*b³⁄₁₅ - 16*b**2 - 112*b/5 - 1615. Factor s(v).

4(v - 14)(v + 1)*(v + 2)/5

Let d be (30/(-48)*182)/((-1)/(-4)). Let w = ⁶⁸²⁷⁄₁₅ + d. Factor 0 - w*a + ⁴⁄₁₅*a**2.

2a(2*a - 1)/15

Let s(n) be the first derivative of n2 + ²⁄₁₅*n3 + 25 + ¹²⁄₅*n. Factor s(x).

2(x + 2)(x + 3)/5

Let -31*l + ⁹⁸⁄₁₁ - ⁷⁄₁₁*l**2 = 0. Calculate l.

-49, ²⁄₇

Let k(g) be the third derivative of g⁷⁄₁₈₉₀ + g⁶⁄₉₀ + 7*g⁵⁄₁₀₈ + g⁴⁄₉ - 1062*g**2. Factor k(m).

m(m + 1)(m + 3)*(m + 8)/9

Suppose -19 + 21 = m + 2*b, -4*m = 5*b - 11. Let t = 8 + 2. Factor -4*h4 - t*h3 - 2*h4 - 14*h + m + 18*h2 + 5*h4 + 3*h4.

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

Factor ¹⁄₄*i4 + ¹⁵⁄₂*i3 + 0 - ³¹⁄₄*i**2 + 0*i.

i*2(i - 1)*(i + 31)/4

Let s(i) = -5*i2 + 1650*i + 136150. Let u(v) = 7*v2 - 1650*v - 136155. Let a(q) = -6*s(q) - 5*u(q). Factor a(b).

-5*(b + 165)**2