 h be 1 + -3 + 8 + -1. Let y(x) = h*c(x) - 12*k(x). Factor y(u).
-2*(u - 2)**2*(u + 1)
Let g(o) be the first derivative of 567*o**2 - 36*o - 592*o**2 - 24 + o**3 + o**3. Solve g(k) = 0.
-2/3, 9
Let j(v) be the first derivative of -44*v**3 - 62*v**2 + 8*v + 136. Solve j(m) = 0 for m.
-1, 2/33
Let b(q) be the third derivative of -q**5/540 + q**4/108 - q**3/54 - 4*q**2 + 5. Factor b(s).
-(s - 1)**2/9
Let b be ((-3 + 0)/(-45))/((-26)/(-78)). Let g(y) be the first derivative of 4/15*y**3 + 0*y**4 + 1/15*y**6 - 4/25*y**5 + 0*y + 9 - b*y**2. Factor g(k).
2*k*(k - 1)**3*(k + 1)/5
Let i(r) be the third derivative of r**7/105 + r**6/15 + r**5/30 - r**4/2 - 94*r**2. Factor i(o).
2*o*(o - 1)*(o + 2)*(o + 3)
Let h(l) = l**3 + 13*l**2 + 26. Let c be h(-14). Let m = c - -170. Factor m + 2/5*o**3 + 2/15*o**4 + 2/15*o + 2/5*o**2.
2*o*(o + 1)**3/15
Let f(l) be the third derivative of -l**10/10080 - l**4/4 + 5*l**2. Let u(v) be the second derivative of f(v). Find y such that u(y) = 0.
0
Let x be ((-2)/3)/((-22)/99). Let u be x/((-2)/4*-2). Factor -a**3 - 2*a**2 + u*a**3 + a**4 + a**4 - 2*a**5.
-2*a**2*(a - 1)**2*(a + 1)
Let a(y) = 2*y**3 - 2*y**2 - 1. Let l(g) = 51*g**3 - 625*g**2 + 1632*g + 2303. Let o(q) = -a(q) + l(q). Factor o(v).
(v + 1)*(7*v - 48)**2
Let f = 7 - 5. Suppose f*k - 4*o = 8, k = -4*k + o + 65. Factor 4*g**2 + 33*g**4 - g**4 - 58*g**3 - k*g**5 + 36*g**3.
-2*g**2*(g - 1)**2*(7*g - 2)
Factor 5/2*s + 5/6*s**2 + 5/3.
5*(s + 1)*(s + 2)/6
Let x(m) be the second derivative of 0*m**2 + 0 + 1/21*m**7 - 3/10*m**5 - 1/6*m**4 + 1/15*m**6 + 2/3*m**3 + 14*m. Factor x(f).
2*f*(f - 1)**2*(f + 1)*(f + 2)
Solve 0 - 1/2*u**3 + 5/2*u + 2*u**2 = 0.
-1, 0, 5
Let a(h) = -2*h**3 + 1. Let g be a(-1). Factor -4*t**2 + t**2 - 12 + g*t**2 + 3*t**2.
3*(t - 2)*(t + 2)
Solve -4*l**3 - 2 - 16 - 4*l**3 - 48*l - 6*l**3 - 2*l**3 - 2*l**4 - 44*l**2 = 0.
-3, -1
Factor -24/7*s**2 - 30/7 + 3/7*s**3 - 57/7*s.
3*(s - 10)*(s + 1)**2/7
Determine h, given that -82/3*h**3 - 8/3*h**5 - 16/3*h**2 + 0 + 0*h - 74/3*h**4 = 0.
-8, -1, -1/4, 0
Let w(s) be the second derivative of s**5/240 + s**4/24 - 6*s**2 - 20*s. Let h(l) be the first derivative of w(l). Find n such that h(n) = 0.
-4, 0
Let n(d) be the second derivative of 1/60*d**5 + 6*d + d**2 - 1/3*d**3 + 0 + 1/24*d**4. Let p(g) be the first derivative of n(g). Factor p(r).
(r - 1)*(r + 2)
Let y = 20450 + -20447. Suppose -16/11 - 24/11*t + 6/11*t**y + 4/11*t**2 = 0. Calculate t.
-2, -2/3, 2
Let x(h) be the second derivative of -h**6/90 - h**5/10 + 2*h**3/3 - 4*h. Let m(u) be the second derivative of x(u). Factor m(g).
-4*g*(g + 3)
Let h be (10/273)/((-320)/(-560)). Let f(b) be the second derivative of -10*b + 0 + 7/39*b**3 + 1/130*b**5 - h*b**4 - 3/13*b**2. Suppose f(w) = 0. Calculate w.
1, 3
Let x(q) be the third derivative of q**7/15120 + q**6/2160 - q**5/240 + 19*q**4/24 + 24*q**2. Let m(h) be the second derivative of x(h). Factor m(y).
(y - 1)*(y + 3)/6
Let u be 18 + (-1 - -2) - -1. Factor -4*y**2 + 128 - 148 + u*y - y**2.
-5*(y - 2)**2
Determine i, given that -60*i + 101*i**2 - 39 - 4*i**4 + 14*i**2 + 60*i**3 - 25 - 5*i**2 - 42*i**2 = 0.
-1, 1, 16
Suppose 35*b = 33*b. Let g(f) be the second derivative of -1/70*f**5 + b*f**3 + 4*f + 0 + 4/7*f**2 - 1/14*f**4. Factor g(y).
-2*(y - 1)*(y + 2)**2/7
Let m(y) be the second derivative of -y**4/3 - 80*y**3 - 7200*y**2 + 17*y. Factor m(p).
-4*(p + 60)**2
Let r = -196 - -200. Let g(t) be the first derivative of 1/3*t**3 + 1/8*t**r - 1/4*t**2 - t - 1. Let g(m) = 0. What is m?
-2, -1, 1
Solve 4*o**5 - 20*o**4 + 48 - 3*o**3 - 3*o**3 + 52*o**2 - 13*o**3 + 112*o - 17*o**3 = 0.
-1, 2, 6
Find h such that h**2 + 87 - 18*h - 2*h**2 + 55*h + 2*h**2 - 17 = 0.
-35, -2
Suppose 14*x = -265 - 1163. Let p = -100 - x. Let 2/5*d**3 + 2/5*d**p + 6/5 - 2*d = 0. Calculate d.
-3, 1
Let h(l) be the third derivative of l**5/20 + 25*l**4/16 - 13*l**3/4 - 200*l**2. Find m, given that h(m) = 0.
-13, 1/2
Let c(g) be the third derivative of g**9/15120 - g**8/504 + 4*g**7/315 + 31*g**5/60 - 24*g**2. Let s(j) be the third derivative of c(j). Factor s(h).
4*h*(h - 8)*(h - 2)
Factor -36 + 3*f**2 - 18*f - 6*f**2 - 7*f + 4*f.
-3*(f + 3)*(f + 4)
Let i(t) be the second derivative of 375*t**7/14 - 95*t**6/2 + 16*t**5 - 5*t**4/3 - 21*t + 2. Find c, given that i(c) = 0.
0, 2/15, 1
Let w be 1 + 9/3 - (7 + -3). Let l(g) be the second derivative of 1/165*g**6 + 0*g**2 + 0*g**5 + 2*g - 1/66*g**4 + w + 0*g**3. Suppose l(m) = 0. Calculate m.
-1, 0, 1
Let z(b) be the third derivative of -1/180*b**5 - 4/9*b**3 + 0 - 19*b**2 + 1/12*b**4 + 0*b. Suppose z(r) = 0. Calculate r.
2, 4
Let m(b) be the third derivative of -b**6/120 + b**5/30 + b**4/24 - b**2. Let h be m(2). What is u in -4*u - 3*u**2 - u**2 + 2*u**2 - h = 0?
-1
Let x be -15*(2 + (-26)/10). Suppose -x - 3 = -3*j. Solve -c**2 - 2*c**2 - 6*c**3 + 60*c**4 - 63*c**j = 0 for c.
-1, 0
Determine k, given that 6/11*k**2 + 4/11*k - 8/11 - 1/11*k**3 - 1/11*k**4 = 0.
-2, 1, 2
Let m = -105 + 107. Factor -m*f**2 - 5 + 6*f + 4 - 2*f + 7.
-2*(f - 3)*(f + 1)
Suppose -17 - 128 = -29*x. Let d(s) be the third derivative of 0*s**5 - x*s**2 - 5/112*s**8 - 1/35*s**7 + 0*s**6 + 0*s**3 + 0*s + 0 + 0*s**4. Factor d(j).
-3*j**4*(5*j + 2)
Let v = 201/10 - 33/5. Let i = v - 13. Factor 5/4*o**3 + 0 - i*o - 3/4*o**2.
o*(o - 1)*(5*o + 2)/4
Let v(i) be the first derivative of -8/9*i**3 + 4/3*i**4 + 7 - 7/6*i**2 - 1/3*i. Factor v(y).
(y - 1)*(4*y + 1)**2/3
Let u(h) be the second derivative of 1/36*h**4 - 1/3*h**2 - 5*h - 3 + 1/18*h**3. Suppose u(v) = 0. Calculate v.
-2, 1
Factor -45*j**3 - 135*j**4 - 135*j - 135*j**4 + 135*j**2 + 275*j**4.
5*j*(j - 3)**3
Let o be 84/135 - (-20)/(-50). What is l in o*l**2 + 2/3*l + 0 = 0?
-3, 0
Let m(k) be the third derivative of k**7/1260 - k**6/270 - k**5/180 + k**4/18 - k**3/2 + 6*k**2. Let z(u) be the first derivative of m(u). Factor z(q).
2*(q - 2)*(q - 1)*(q + 1)/3
Let g = -1/12 - -5/6. Let m(p) be the first derivative of -p**5 + 0*p - 6 - 1/2*p**2 - g*p**4 + 5/3*p**3 + 2/3*p**6. Factor m(c).
c*(c - 1)**2*(c + 1)*(4*c - 1)
Let b(v) be the second derivative of v**7/294 + 2*v**6/105 + v**5/140 - v**4/14 - 440*v. Solve b(s) = 0.
-3, -2, 0, 1
Let x(m) be the first derivative of -4*m**3/15 - 18*m**2/5 + 8*m + 52. Determine a, given that x(a) = 0.
-10, 1
Suppose -3 = 2*q - 9. Suppose q*x - 7 = -1. Factor -2*j**3 + 7 + x - 3*j**3 + 15*j + 3*j**2 + 2*j**3.
-3*(j - 3)*(j + 1)**2
Suppose -19*v - 12 + 32*v + 2*v - 15*v**3 + 12*v**2 = 0. What is v?
-1, 4/5, 1
Let x(a) = a**4 - a**2 + 1. Let r(h) = -h - 12*h**3 + 0*h + 3 - 3*h**5 - 8*h**4 + h**4 - 39*h**2 + 30*h**2. Let p(j) = -5*r(j) + 15*x(j). Factor p(m).
5*m*(m + 1)**3*(3*m + 1)
Let j(k) = 2*k**4 - k**3 - k**2 - k - 1. Let b(f) = 15*f**4 - 80*f**3 + 120*f**2 + 70*f - 135. Let t(h) = b(h) - 5*j(h). Determine q, given that t(q) = 0.
-1, 1, 2, 13
Let n(l) = -8*l**2 - 39*l. Suppose 0 = 11*m + 8 - 30. Let t(x) = 2*x**2 + 10*x. Let j(a) = m*n(a) + 9*t(a). Solve j(r) = 0.
-6, 0
Factor -5*n - 5*n**3 + n + 19*n + 8*n - 8*n + 10*n**2.
-5*n*(n - 3)*(n + 1)
Let q = 1987 + -9934/5. Determine l so that -q*l**3 + 2/5 - 3/5*l**2 + 1/5*l + 1/5*l**4 = 0.
-1, 1, 2
Let m = 94 + -83. Suppose m*h + 12 = 14*h. What is d in -2*d**4 - h + 1/2*d**5 - 2*d + 5*d**2 + 1/2*d**3 = 0?
-1, 2
Suppose 2*l = 5*l + 582. Let g be (-6)/24 + l/(-8). Suppose 4*k**3 - 4 - 28*k + 4 + g*k = 0. What is k?
-1, 0, 1
Let w(r) be the first derivative of 8*r + 2*r**2 - 6 - 4/3*r**3. Factor w(a).
-4*(a - 2)*(a + 1)
Let s(b) be the third derivative of b**7/1890 + b**6/216 + b**5/180 - b**4/24 - 73*b**2. Factor s(h).
h*(h - 1)*(h + 3)**2/9
Let y be (-3)/(-9 + -6)*10. Let j(u) be the first derivative of 1/2*u**y + 2 + 1/3*u**3 + 0*u. Suppose j(g) = 0. What is g?
-1, 0
Let p(b) = b**3 - b**2. Let g(a) = -5*a**3 + 25*a**2 + 10*a. Let t(x) = -g(x) - 10*p(x). Factor t(u).
-5*u*(u + 1)*(u + 2)
Let g(k) = -k - 4. Let i(q) = -3*q - 11. Let h(x) = -7*g(x) + 2*i(x). Let r be h(-6). Factor 0*s + 0*s**2 + r - 3/4*s**3 - 3/4*s**4.
-3*s**3*(s + 1)/4
Factor 1922 + 3*q**2 - 10*q**2 - 124*q + 9*q**2.
2*(q - 31)**2
Let n(m) be the first derivative of m**2/2 - m - 10. Let t(h) = 4*h**3 + 4*h**2 + 16*h - 24. Let r(a) = -24*n(a) + t(a). Factor r(u).
4*u*(u - 1)*(u + 2)
Let u(z) be the first derivative of z*