Suppose -152*p - 24*p**2 + 3*p**3 + 7*p**3 - 3546 + 3386 + 2*p**4 = 0. What is p?

Factor -150*j2 - 3*j4 + 45*j2 + 2255*j3 - 2291*j**3.

-3*j*2(j + 5)*(j + 7)

Let g be (-35)/(-10)*⁷²⁄₇₀. Let b(p) be the first derivative of -17 - g*p - ²⁄₁₅*p3 + ⁶⁄₅*p2. What is w in b(w) = 0?

3

Let l(o) be the first derivative of ¹⁄₁₅*o5 + ¹⁄₆*o4 - ⁵⁄₃*o3 + 71 + ²⁄₃*o2 + ²⁰⁄₃*o. Factor l(w).

(w - 2)*2(w + 1)*(w + 5)/3

Suppose -25 = -11m + 19. Let h be 2/m(-88)/(-154). Let 0 - h*v5 - ⁴⁄₇*v - ²⁄₇*v2 + ²⁄₇*v4 + ⁶⁄₇*v3 = 0. Calculate v.

-1, 0, 1, 2

Let k(d) be the first derivative of 5*d⁴⁄₄ + 2435*d3 + 3557535*d**²⁄₂ + 577506515*d - 771. Suppose k® = 0. Calculate r.

-487

Suppose 60*r + 270 + 5*r3 + 60*r - 210*r2 - 125*r - 60*r**2 = 0. Calculate r.

-1, 1, 54

Suppose -6*r3 - 1221*r5 - 28*r2 + 10*r4 - 2*r4 + 608*r5 - 16*r + 615*r**5 = 0. What is r?

-4, -1, 0, 2

Let a = ²⁰⁰⁸⁴⁄₃₈₅ - ²⁹⁰⁄₇₇. Factor a + ⁴⁴⁄₅*o + ²⁄₅*o**2.

2*(o + 11)**²⁄₅

Let k = 288 + -⁴⁶⁰⁷⁄₁₆. Let j(b) be the second derivative of 0 + ³⁄₈*b3 + 13*b - k*b4 + 0*b**2. Factor j(l).

-3l(l - 3)/4

Let q® be the third derivative of -r⁵⁄₁₁₀ - 69*r⁴⁄₄₄ - 260*r³⁄₁₁ + 995*r2. Factor q(k).

-6(k + 4)(k + 65)/11