4*f**4 + 108*f**3 = 0.
-6, 0
Suppose -4*c + 6 = -3*c - v, -c + 18 = -5*v. Let h be -2 + 2 + c + 1. Factor -w**4 + 3*w**2 + w**3 - 2*w**h + 2*w**3 - 3*w.
-3*w*(w - 1)**2*(w + 1)
Let x = 12 + -26. Let l = 9 - x. Solve -4*z**2 + 12 - l*z**2 - 10*z**4 + 5*z + 24*z**3 - 29*z + 25*z**4 = 0.
-2, -1, 2/5, 1
Let l(v) be the third derivative of v**4/12 - v**3 - 2*v**2. Let q(f) = f**2 - 6*f + 19. Let j = -22 + 20. Let s(h) = j*q(h) - 7*l(h). Factor s(w).
-2*(w - 1)*(w + 2)
Suppose -5*u + 3*k - 1 = -3*u, 2*u - 39 = -5*k. Solve -2*r**2 + 17 + 3*r - u - 8*r - 3*r**2 = 0.
-2, 1
Let y = -53 + -5. Let o = -56 - y. Determine a so that 1/3*a**3 + 2/3 - a + 0*a**o = 0.
-2, 1
Let y be -1*(3/2)/(6/(-8)). Let m be 0/(2/(2 + -4)). Factor 1/2*k**3 - 1/2*k**5 + m*k**4 + 0*k**y + 0 + 0*k.
-k**3*(k - 1)*(k + 1)/2
Factor 12/7*s**2 + 18/7*s**3 + 0 + 2/7*s.
2*s*(3*s + 1)**2/7
Suppose 0 = 2*d + 11 - 17. Suppose -5*p = 2*r + 10, -12*r + 9*r + d*p = -6. Find b such that 2/3*b + 2/9*b**2 + r = 0.
-3, 0
Let d(b) = -b**2 - 2*b - 1. Let z be d(-1). Suppose -q + 6*q - 15 = z. Let 8*o + 5*o**2 - 5*o**3 - 12*o**4 - 3*o**q + 11*o**2 - 4*o**2 = 0. Calculate o.
-1, -2/3, 0, 1
Let b(x) be the first derivative of 0*x**5 - 6*x + 0*x**4 + 0*x**3 + 0*x**2 + 1/63*x**7 + 4/45*x**6 + 2. Let h(m) be the first derivative of b(m). Factor h(r).
2*r**4*(r + 4)/3
Suppose 0 = 8*s - 49 + 9. Factor 65 - 5*b**4 - s*b**3 + 5*b - 75 + 5*b**2 + 10*b**2.
-5*(b - 1)**2*(b + 1)*(b + 2)
Determine c so that -36*c**4 - 3*c**5 - 44*c**3 + 8*c**2 + 8*c**4 - 28*c**2 - c**5 = 0.
-5, -1, 0
Let p(a) be the first derivative of a**6/15 - 14*a**5/25 + 19*a**4/10 - 10*a**3/3 + 16*a**2/5 - 8*a/5 + 86. Find j, given that p(j) = 0.
1, 2
Let f(a) be the first derivative of -a**6/9 + 5*a**4/6 - 4*a**2/3 - 106. Solve f(h) = 0 for h.
-2, -1, 0, 1, 2
Let b(a) = -3*a. Let d be b(-1). Factor -d*c**2 + 16*c**3 - 10*c**3 - 9*c**3.
-3*c**2*(c + 1)
Let j(y) be the third derivative of -9*y**8/392 + 33*y**7/245 - y**6/10 - 22*y**5/105 + 2*y**4/7 + 198*y**2. Determine h, given that j(h) = 0.
-2/3, 0, 2/3, 3
Suppose 80 = 27*r - 7*r. Let o = 450/7 + -64. Factor 2/7*b**r - 4/7*b**3 + 0*b**2 + 4/7*b - o.
2*(b - 1)**3*(b + 1)/7
Let c(d) be the second derivative of 7/3*d**4 - 4/3*d**3 + 29*d - 2/5*d**6 + 0 - 2/5*d**5 + 0*d**2. Solve c(k) = 0.
-2, 0, 1/3, 1
Let o = 40 - 36. Let i be (-2 + o)/((-184)/(-69)). Factor 0 - 1/4*g - i*g**2 + g**3.
g*(g - 1)*(4*g + 1)/4
Suppose -q = -2 - 6. Let c be 2*4/q - -1. Factor -18*y**2 - c*y + 2*y - 48*y**3 + 6*y**2 - y - 64*y**4.
-y*(4*y + 1)**3
Let t(d) be the first derivative of d**5/20 - d**4/8 + d**2/4 - d/4 - 5. Factor t(b).
(b - 1)**3*(b + 1)/4
Let b(n) be the second derivative of 0*n**2 - 5/36*n**4 + 1/9*n**3 + 6*n - 1/30*n**5 + 0 + 1/18*n**6. Solve b(i) = 0 for i.
-1, 0, 2/5, 1
Let i = -6 - -4. Let y be 10/30 + i/24. Determine k, given that 1/4 + y*k**2 + 1/2*k = 0.
-1
Suppose 5*w - w - 68 = 0. Let k = w + -8. Factor k*q**2 - 11*q**2 + 3 + 1 + 2*q.
-2*(q - 2)*(q + 1)
Let n be (-2867)/(-1974) + (-1 - 0) - (-20)/(-70). Factor -1/6*z**4 + 0 - 1/6*z**3 + 1/6*z + n*z**2.
-z*(z - 1)*(z + 1)**2/6
Factor -556*a - 21*a**2 - 412*a - 47290 - 136*a + 17*a**2 - 28886.
-4*(a + 138)**2
Determine j, given that -1/9*j**5 - 5/9*j**2 - 1/3*j**3 + 5/9*j**4 + 0 + 4/9*j = 0.
-1, 0, 1, 4
Let a(u) = 2*u**2 + 4*u + 8. Let r be a(-9). Factor r*v**2 - 142*v**2 - 2*v**3 - 2*v**3.
-4*v**2*(v + 2)
Let o(h) be the second derivative of h**5/50 - 17*h**4/10 + 98*h**3/15 - 472*h. Factor o(k).
2*k*(k - 49)*(k - 2)/5
Let h(l) be the first derivative of -33/8*l**4 - 24/5*l**5 - l**3 + 0*l - 7 + 0*l**2 - 7/4*l**6. Solve h(y) = 0.
-1, -2/7, 0
Let c be (-4796)/(-1962) - 3*6/(-81). Determine y so that -8/3 + 4/3*y + c*y**2 - 4/3*y**3 = 0.
-1, 1, 2
Let u(s) be the third derivative of -9*s**2 - 1/24*s**3 + 0*s - 1/480*s**6 + 0 + 1/240*s**5 + 1/96*s**4. Factor u(j).
-(j - 1)**2*(j + 1)/4
Let a be 8*(3/(-15) + 12/10). Factor 22*l**2 + 10 - 10 + 14*l**2 + a*l.
4*l*(9*l + 2)
Let q(i) be the first derivative of 4*i**5/5 + 43*i**4 + 56*i**3 - 376. Factor q(t).
4*t**2*(t + 1)*(t + 42)
Let i(t) = 2*t**2 - 2*t + 1. Let c be i(2). Solve 4*k**c + 44*k**4 - 4*k**3 + 0*k**2 - 4*k**2 - 40*k**4 = 0.
-1, 0, 1
Suppose 0 = 3*u - 2*n - 4, 5*u - 6*n + 3*n - 6 = 0. Factor -3*r**3 + r + 3 + 2*r - 3*r**2 + u*r.
-3*(r - 1)*(r + 1)**2
Let t(j) be the first derivative of 3/2*j**4 - 25 + 0*j + 0*j**3 + 0*j**2 + 3/5*j**5. Find b such that t(b) = 0.
-2, 0
Let g(t) be the first derivative of 2*t**6/9 + 16*t**5/15 + 7*t**4/4 + 11*t**3/9 + t**2/3 + 49. Let g(b) = 0. What is b?
-2, -1, -1/2, 0
Let d(c) = 5*c - 8. Let v be d(4). Find m such that -7*m**3 + v*m**2 - 3*m**5 - 12*m**4 - 2*m**3 - 4*m + 16*m = 0.
-2, -1, 0, 1
Let n(i) be the first derivative of -23 - 1/9*i**3 - i**2 - 5/3*i. Determine a so that n(a) = 0.
-5, -1
Let n(k) be the second derivative of 5/6*k**4 + 1/21*k**7 - 2/3*k**3 + 10*k - 1/15*k**6 + 0*k**2 - 3/10*k**5 + 0. Factor n(r).
2*r*(r - 1)**3*(r + 2)
Let o(a) be the second derivative of a**4/12 + 3*a**3/10 + 2*a**2/5 + a - 157. Let o(z) = 0. What is z?
-1, -4/5
Let g(j) = -4*j**4 + 8*j**3 + 28*j**2 + 16*j + 6. Let y(x) = 8*x**4 - 16*x**3 - 56*x**2 - 32*x - 11. Let t(b) = 11*g(b) + 6*y(b). Factor t(i).
4*i*(i - 4)*(i + 1)**2
Let q(b) be the first derivative of b**3/15 - 7*b**2/10 + 2*b - 37. Solve q(r) = 0 for r.
2, 5
Let x(w) be the first derivative of w**9/19656 - w**7/1820 + w**6/1170 + 20*w**3/3 + 12. Let y(n) be the third derivative of x(n). Factor y(r).
2*r**2*(r - 1)**2*(r + 2)/13
Let h(f) = 36*f**4 - 5 - 20*f**4 - 8*f**3 - 5*f - f**2 - 23*f**4. Let q(s) = -20*s**4 - 24*s**3 - 4*s**2 - 14*s - 14. Let v(a) = -14*h(a) + 5*q(a). Factor v(t).
-2*t**2*(t + 1)*(t + 3)
Suppose -3*j = c - 10, 3*j + j = -2*c + 14. Determine n so that 3*n + 3/4*n**4 + 9/4*n**2 - j*n**3 - 3 = 0.
-1, 1, 2
Let 2/9*c**5 - 34/9*c**4 + 14*c**3 + 0*c + 18*c**2 + 0 = 0. Calculate c.
-1, 0, 9
Suppose 24*x**3 + 100*x**2 + x**4 - 49*x + 176*x - 55*x - 5*x**4 = 0. Calculate x.
-2, -1, 0, 9
Suppose 6 = -17*b + 19*b. Let i(w) be the second derivative of -1/9*w**4 - 1/3*w**2 + 0 + 6*w + 5/18*w**b + 1/60*w**5. Find k, given that i(k) = 0.
1, 2
Let w(c) be the first derivative of 3*c**4/4 - 36*c**3 + 486*c**2 - 101. Find u such that w(u) = 0.
0, 18
Let i(c) be the third derivative of -9*c**2 + 0*c - 1/160*c**6 - 1/120*c**5 + 0 + 1/8*c**4 + 1/3*c**3. Factor i(y).
-(y - 2)*(y + 2)*(3*y + 2)/4
Let r(d) be the third derivative of -d**9/12096 - d**8/4032 + d**7/1008 + d**6/144 + d**5/6 + 11*d**2. Let a(q) be the third derivative of r(q). Factor a(v).
-5*(v - 1)*(v + 1)**2
Let l(w) be the third derivative of -w**7/630 + 5*w**6/36 - 68*w**5/15 + 2023*w**4/36 + 4913*w**3/18 - 116*w**2. Factor l(s).
-(s - 17)**3*(s + 1)/3
Factor m - 24 + 5*m + 4*m**2 - 13*m - 13*m.
4*(m - 6)*(m + 1)
Let p(x) be the second derivative of 9*x + 4/3*x**3 + 1/3*x**4 + 1/30*x**5 + 8/3*x**2 + 0. Suppose p(g) = 0. Calculate g.
-2
Let k(i) be the third derivative of i**5/12 + 5*i**4/4 + 15*i**3/2 + 25*i**2 + 1. Let k(z) = 0. Calculate z.
-3
Let m(c) be the third derivative of -c**6/40 - c**5/60 - c**4/24 + 8*c**2. Let x be m(-1). Factor -1/4*w**4 - 1/2*w**2 + 3/4*w**x + 0*w + 0.
-w**2*(w - 2)*(w - 1)/4
Let o(w) = 6*w**3 + 24*w**2 - 3*w - 12. Let r(h) = h**3 - h**2 + h. Let i(z) = -o(z) - 3*r(z). Let i(g) = 0. What is g?
-2, -1, 2/3
Determine d so that 2*d - 36/17 + 2/17*d**2 = 0.
-18, 1
Let s be (-11)/((-550)/30)*5. Determine r, given that -1/5*r**s - 9/5*r - 6/5*r**2 + 0 = 0.
-3, 0
Solve 3/2 + 1/4*k**2 - 7/4*k = 0.
1, 6
Determine h, given that -1/3*h**5 - 13*h**2 + 17/3*h**3 + h**4 + 20/3*h + 0 = 0.
-4, 0, 1, 5
Let q(o) be the first derivative of o**8/13440 + o**7/3360 + o**6/2880 + 4*o**3 + 9. Let y(g) be the third derivative of q(g). Factor y(i).
i**2*(i + 1)**2/8
Let r be 6/80*160/360. Let a(m) be the second derivative of r*m**4 - 5*m + 1/5*m**3 + 0 + 2/5*m**2. Factor a(h).
2*(h + 1)*(h + 2)/5
Let o be (2 + 1 + -27)*4. Let r = o - -292/3. Factor 1/3*a**2 - 4/3*a + r.
(a - 2)**2/3
Let l(v) be the third derivative of v**8/84 + 2*v**7/15 + 3*v**6/5 + 22*v**5/15 + 13*v**4/6 + 2*v**3 + 44*v**2. Let l(a) = 0. What is a?
-3, -1
Let l(f) be the first derivative of -22/15*f**3 + 2/5*f**2 - 14/25*f**5 + 8/5*f**4 + 5 + 0*f. Suppose l