Factor -150*j**2 - 3*j**4 + 45*j**2 + 2255*j**3 - 2291*j**3.

Factor ¹⁸⁴⁄₅*k + ²⁄₁₅*k**2 + ¹¹⁰⁄₃.

2(k + 1)(k + 275)/15

Let t(a) = 77*a + 539. Let z be t(-7). Let r(n) be the first derivative of ⁴⁄₅*n5 + 0*n2 + 0*n3 + z*n - 3*n4 - 18. Factor r(j).

4*j*3(j - 3)

Let m(k) be the second derivative of -³²⁄₃*k3 + 32*k2 + 0 + 0*k4 + ⁴⁄₅*k5 - ²⁄₁₅*k**6 - 75*k. Factor m(l).

-4*(l - 2)*3(l + 2)

Suppose -3*s - 12 = 27*y - 30*y, -4*s - 4*y + 32 = 0. Factor 4*u - ²⁄₃*u**s + ¹⁴⁄₃.

-2(u - 7)(u + 1)/3

Let p(u) be the third derivative of 8*u⁷⁄₃₈₅ + 509*u⁶⁄₃₃₀ + 2201*u⁵⁄₆₆ + 371*u⁴⁄₁₁ + 147*u³⁄₁₁ - 36*u2 + 11*u. Suppose p(x) = 0. What is x?

-21, -¹⁄₄, -¹⁄₆

Let m(j) be the second derivative of -j⁶⁄₆ - 9*j⁵⁄₄ - 25*j⁴⁄₃ - 10*j3 + 307*j. Suppose m(x) = 0. What is x?

-6, -2, -1, 0

Let g be (-24)/(-14) - 2*6/(-42). Suppose -36 + 40*w + 7 + g + 2*w**2 - 15 = 0. What is w?

-21, 1

Let d(n) = n2 - 2n - 23. Let k be d(6). Let p be (-3)/90-5*(1 + k). Determine j so that p*j2 - j + 0 = 0.

0, 3

Let u(s) be the second derivative of 0 - ⁵⁄₃*s3 + 4*s2 + ¹⁄₆*s**4 + 26*s. Find a such that u(a) = 0.

1, 4

Suppose o = -3*o + 152. Suppose 2*m - 36 = -3*b, -3*b = -5*m + 10 + o. Find j, given that 11*j2 + 15*j + m - 11*j2 + 3*j**2 = 0.

-4, -1