Let z(i) be the first derivative of -i4⁄2 - 38*i3⁄3 + 141*i**2 - 450*i - 163. Solve z(v) = 0.

-25, 3

Let t(i) = i3 - 2*i2 + 2*i + 5. Let w be t(-3). Let h = -36 - w. Factor -5*k4 - 15*k + h + 21*k3 - 5*k2 - 2*k3 - 4*k**3.

-5(k - 2)(k - 1)*2(k + 1)

Let k = 45168 - 181961⁄4. Let i = k - -323. Determine c, given that 3⁄4*c - 3⁄8*c4 + 3⁄8*c2 + 0 - i*c**3 = 0.

-2, -1, 0, 1

Let v be 208⁄24 - (-1)/3. Suppose -96*w = -77*w - 38. Factor -3⁄2*h**w - 27⁄2 - v*h.

-3*(h + 3)**2⁄2

Suppose -35*y + 31*y = -4*m + 4, 3*y - 2*m = 0. Let f(n) be the first derivative of -2*n3 + 2*ny + 14⁄5*n5 - 3⁄2*n4 - n**6 + 0*n + 18. Factor f(d).

-2d(d - 1)*3(3*d + 2)

Suppose 5*p + 2*p - 35 = 0. Suppose -4*m - 9 = -p*w, -2*m + 45 = 5*w + 3*m. Solve 0*u4 - 32*uw - u4 + 16*u4 + 14*u3 + u4 + 2*u**2 = 0.

-1⁄4, 0, 1

Let g(n) be the second derivative of n4⁄36 + 41*n3⁄9 - 1525*n. Factor g(x).

x*(x + 82)/3

Let g be 11*(-13296)/2992 + 49. Let v(i) = -i2 - 7*i - 3. Let p be v(-6). Find l, given that 0 + g*l + 0*l2 - 2⁄17*l**p = 0.

-1, 0, 1

What is c in -195 - 5*c**2 + 130*c + 207 - 137 = 0?

1, 25

Let x(p) be the first derivative of 2*p3⁄57 + 226*p2⁄19 + 450*p/19 - 278. Factor x(w).

2(w + 1)(w + 225)/19