-3*(d - 4)*(d + 1)*(3*d + 2)
Let q(v) = -4*v**3 + v**2 - 1. Let y be q(-1). Suppose 4*u + 13 + 4 = 3*d, y*d - 2*u - 16 = 0. Factor -15*f**4 - 2*f**2 + 18*f**d - f**2 + 12*f**5 - 12*f**4.
3*f**2*(f - 1)**2*(4*f - 1)
Suppose -9*b + 150 - 114 = 0. Let t(n) be the first derivative of -n**b + 36*n + 1 - 20/3*n**3 - 6*n**2. Suppose t(m) = 0. Calculate m.
-3, 1
Let x(u) be the second derivative of 2*u**7/21 - 2*u**6/15 - 3*u**5/5 + u**4/3 + 4*u**3/3 - 62*u. Factor x(q).
4*q*(q - 2)*(q - 1)*(q + 1)**2
Let n(f) = -3*f**3 - 18*f**2 - 21*f - 9. Let t be (1 - -1)/2 - -2. Let d(c) = -3*c**3 - 17*c**2 - 21*c - 9. Let x(a) = t*d(a) - 2*n(a). Factor x(u).
-3*(u + 1)**2*(u + 3)
Let f(z) be the first derivative of 0*z**3 - 6 - 1/6*z**2 + 1/12*z**4 + 0*z. Solve f(k) = 0 for k.
-1, 0, 1
Let d(y) = -11*y**2 + 76*y + 126. Let t(p) = -3*p**2 + 25*p + 42. Let k(v) = 2*d(v) - 7*t(v). Factor k(m).
-(m + 2)*(m + 21)
Factor 936/7*q - 109512/7 - 2/7*q**2.
-2*(q - 234)**2/7
Let d(m) = 2*m**4 - 33*m**3 + 103*m - 69. Let v(t) = t**4 - t**2 + 2*t - 1. Let u(z) = -d(z) + 3*v(z). Factor u(g).
(g - 1)**2*(g + 2)*(g + 33)
Let l(i) be the first derivative of -1/15*i**6 - 21 - 6/25*i**5 - 1/10*i**4 + 2/5*i**3 + 2/5*i**2 + 0*i. Suppose l(m) = 0. What is m?
-2, -1, 0, 1
Let g(z) be the first derivative of 1/9*z**3 + 1/2*z**2 + 2/3*z + 7. Factor g(m).
(m + 1)*(m + 2)/3
Let f(q) be the first derivative of 2*q**5/5 + 56*q**4 - 228*q**3 + 344*q**2 - 230*q - 895. Solve f(p) = 0.
-115, 1
Determine d so that -2/3*d**3 - 1/3*d**2 + 1/3*d**4 + 0 + 2/3*d = 0.
-1, 0, 1, 2
Suppose 18 = -5*u + 4*u. Let r = u - -20. Find q, given that 1/2 + q**3 + 5/4*q - 11/4*q**r = 0.
-1/4, 1, 2
Let r = 89 - 84. Solve -3*x**3 - 5*x**4 - x + 4*x**2 + 2*x**4 - 2*x**3 + r*x**4 = 0.
0, 1/2, 1
Let b(v) be the third derivative of 0*v**3 - 1/60*v**5 - 6*v**2 + 0 + 1/120*v**6 + 0*v**4 + 0*v. Solve b(m) = 0 for m.
0, 1
Suppose 4*u - 14 = 2*s, -4*s + u = -0*u. Let l be -2*(-4 + s)*(-2)/(-28). Factor 1/7*w**2 + l*w + 2/7.
(w + 1)*(w + 2)/7
Factor -16/5*w**5 - 33/5*w**3 + 2*w**2 + 0 + 8*w**4 - 1/5*w.
-w*(w - 1)**2*(4*w - 1)**2/5
Let q(h) = -h**2 + 6*h - 6. Let r = 11 - 7. Let n be q(r). Factor -n*o + 5 - 3*o**2 + 3*o - 3 + 2*o**2.
-(o - 2)*(o + 1)
Let d(s) be the third derivative of -12*s**2 + 0*s + 1/120*s**6 + 0*s**5 + 0 - 1/24*s**4 + 0*s**3. Let d(b) = 0. What is b?
-1, 0, 1
Suppose 90 = 37*t - 43*t. Let y be (2 + 18/t)/(4/10). Factor 0 + 2/3*w**y + 5/3*w**3 + 1/3*w**5 + 0*w + 4/3*w**4.
w**2*(w + 1)**2*(w + 2)/3
Let t(o) = -o**3 - o**2. Let w(h) = 9*h**3 + h**2 - 14*h - 6. Let v(c) = 5*c - 62. Let y be v(12). Let u(s) = y*w(s) - 22*t(s). Factor u(d).
4*(d + 1)**2*(d + 3)
Let b be ((-6 - -4)/2)/(1/(-32)). Solve -8*d**4 + d**3 + b*d**5 - 20*d**3 + 8*d**2 - 9*d**3 - 4*d**5 = 0.
-1, 0, 2/7, 1
Let r(c) = -c**3 - 20*c**2 - c - 16. Let n be r(-20). Let f be 0 - n/22 - 28/(-33). Determine x so that 2/3*x**3 - 2/3 - f*x + 2/3*x**2 = 0.
-1, 1
Let u(r) = 2*r + 54. Let m be u(-27). Factor 1/2*t**2 + m + 5/2*t.
t*(t + 5)/2
Let x(g) = 3*g**3 + 102*g**2 - 528*g + 810. Let l(u) = -2*u**3 - 51*u**2 + 264*u - 402. Let o(n) = -9*l(n) - 5*x(n). Factor o(r).
3*(r - 9)*(r - 4)**2
Let i(n) = 3*n - 15 - 7*n - 2*n + 3*n. Let d be i(-7). Factor 2*b**2 - d*b + 3*b**2 + 4 - 3*b**2.
2*(b - 2)*(b - 1)
Let c(t) be the first derivative of -3*t**5/35 - 3*t**4/7 + 13*t**3/7 + 60*t**2/7 - 144*t/7 - 227. Suppose c(h) = 0. Calculate h.
-4, 1, 3
Determine l so that 7/4*l**2 + 0 - 1/4*l**4 - l - 1/2*l**3 = 0.
-4, 0, 1
Let j(h) be the first derivative of 6*h**2 + 8/3*h**3 - 2/3*h**6 - 27 - 12/5*h**5 - 2*h**4 + 4*h. Find p, given that j(p) = 0.
-1, 1
Let y(m) be the second derivative of 0 + 17*m + 5/3*m**3 + 0*m**2 + 25/12*m**4 + 3/4*m**5. Solve y(s) = 0 for s.
-1, -2/3, 0
Suppose 0 = 10*y - 5*y - 15. Factor -4*s**4 - 4*s**2 + 24*s**4 + 2*s**3 - 9*s**5 - 3*s**5 - 6*s**y.
-4*s**2*(s - 1)**2*(3*s + 1)
Let l(j) be the second derivative of -7*j**4/4 + j**3/2 + 9*j**2 + 3*j + 66. Factor l(r).
-3*(r - 1)*(7*r + 6)
Suppose -7*g + 40 = -2*g. Suppose -5*f - 3 = -o, -f + 7 = 5*o - g. Factor -5 - r + 2*r**2 + f*r**2 + 5 - r**3.
-r*(r - 1)**2
Find p such that 0 - 1/2*p**3 - 2*p**2 - 3/2*p = 0.
-3, -1, 0
Let c(m) be the second derivative of -m**6/6 + 37*m**5/2 - 6845*m**4/12 - 252*m. Let c(r) = 0. Calculate r.
0, 37
Let b be (-2)/11 + -3 + 246/22. Let y(z) = 20*z**3 - 43*z**2 + 56*z - 1. Let v(h) = -13*h**3 + 29*h**2 - 37*h + 1. Let s(l) = b*v(l) + 5*y(l). Factor s(u).
-(u - 3)*(u - 1)*(4*u - 1)
Let k(g) be the second derivative of g**7/126 - g**6/9 + g**5/2 - 10*g**4/9 + 25*g**3/18 - g**2 + 81*g. Find i such that k(i) = 0.
1, 6
Let w = -23/148 + 4999/740. Let 33/5*i - w*i**2 - 6/5 - 21/5*i**3 - 12/5*i**5 + 39/5*i**4 = 0. Calculate i.
-1, 1/4, 1, 2
Let r(l) be the second derivative of l**6/45 - 17*l**5/30 - 37*l**4/18 - 19*l**3/9 - 87*l + 1. Factor r(h).
2*h*(h - 19)*(h + 1)**2/3
Let m = 52 - 44. Let c be (-7 + m)*(-2)/(-4). Factor -c*n - 1/2*n**3 + 0 - n**2.
-n*(n + 1)**2/2
Let o = 1349 - 1347. Let s = 4978/11 + -452. Let s - 6/11*r**o - 2/11*r**3 + 2/11*r = 0. Calculate r.
-3, -1, 1
Factor -8/5*o**4 - 56/5 - 188/5*o + 4/5*o**5 - 224/5*o**2 - 104/5*o**3.
4*(o - 7)*(o + 1)**3*(o + 2)/5
Suppose r - 10 = p, -4*r + 3*r = -5*p - 34. Determine a so that 32/3*a + 8*a**2 + 0*a**3 + r - 4/3*a**4 = 0.
-1, 3
Suppose 4*p + 12 = n, 10 = 4*p - 9*p. Let l(c) be the second derivative of 7*c - 1/6*c**n + 1/30*c**5 + 1/3*c**3 - 1/3*c**2 + 0. Suppose l(z) = 0. What is z?
1
Suppose -7*q = -12*q + 10. Factor -11*r + 5*r**2 + q*r + 0*r - 6*r.
5*r*(r - 3)
Let q = -99 + 56. Let v = 43 + q. Find l such that -2/7*l - 2/7*l**2 + v = 0.
-1, 0
Let u be (-2)/(2 - 10 - -7). Factor 8*l**4 - 16*l**3 - 4/3*l**5 + 40/3*l**u + 0 - 4*l.
-4*l*(l - 3)*(l - 1)**3/3
Suppose -2/3*x**2 - 12 + 22/3*x = 0. What is x?
2, 9
Let l be (-6)/(-39) - 3417/195*-2. Let v = l - 35. Solve -1/5 + 1/5*g + 1/5*g**2 - v*g**3 = 0.
-1, 1
Let r(z) be the second derivative of -z**7/84 + z**6/20 + 9*z**5/40 + 5*z**4/24 - 120*z. Factor r(g).
-g**2*(g - 5)*(g + 1)**2/2
Suppose 3*m - 58 = 32. Factor -18*s - 4*s + m*s**2 - 5*s**3 + 57*s.
-5*s*(s - 7)*(s + 1)
Let j(c) = 7*c - 49. Let z be j(10). Let i be 3/z*-13 - -3. What is n in -4/7*n**2 + 16/7*n - i*n**3 + 12/7 = 0?
-1, 3/2
Let q(u) be the second derivative of 0 + 8/35*u**6 + 0*u**2 + 0*u**3 + 3/49*u**7 + 13/70*u**5 - u + 1/21*u**4. Suppose q(x) = 0. What is x?
-2, -1/3, 0
Let h(z) be the third derivative of -z**7/105 + z**6/5 + 9*z**5/10 + 7*z**4/6 - 29*z**2 - 2. Factor h(w).
-2*w*(w - 14)*(w + 1)**2
Let c = 4714/3531 - 2/1177. Let i = 469/3 + -155. Factor 0 + i*v + c*v**2.
4*v*(v + 1)/3
Let p = 40816/3 - 13605. Factor 0 + p*q**2 - 1/3*q**4 + 0*q + 0*q**3.
-q**2*(q - 1)*(q + 1)/3
Suppose 0 = -v + 5*g + 18, 67 + 3 = 5*v - 5*g. Factor 57 - 4*x**3 - 4*x**4 - 25*x - 32*x - 41 + v*x + 36*x**2.
-4*(x - 1)**3*(x + 4)
Let u(q) be the third derivative of q**7/70 - q**5/10 + q**3/2 + 7*q**2. Let u(d) = 0. What is d?
-1, 1
Let m(r) be the second derivative of r**4/21 - 16*r**3/21 + 30*r**2/7 - 54*r. Let m(i) = 0. What is i?
3, 5
What is v in 0 - 2/7*v**2 - 20/7*v = 0?
-10, 0
Let f(o) = o**3 + 2*o + 2. Let m be f(0). Let d(w) be the second derivative of -2*w**2 - m*w + 0 - 8/3*w**4 - 11/3*w**3 - 7/10*w**5. Factor d(z).
-2*(z + 1)**2*(7*z + 2)
Let z(o) = -6*o + 4. Let x be z(-3). Suppose x*s - 52*s - 5 + 1 - 1 - 25*s**2 = 0. Calculate s.
-1, -1/5
Let j(b) = -b**4 + b**3 + b**2 - b. Let f(k) = 4*k**4 - 11*k**2 - 79*k + 10*k**4 - 3*k**4 - 11*k**3 + 90*k. Let m(g) = f(g) + 6*j(g). Factor m(y).
5*y*(y - 1)**2*(y + 1)
Factor 1/3*c**4 + 0 - 4/3*c + 0*c**2 + c**3.
c*(c - 1)*(c + 2)**2/3
Let k = 14/65 - 1/65. Let u = 3/10 + k. Determine w so that -1/2*w**2 + 0*w + u = 0.
-1, 1
Let n(q) be the second derivative of -1/90*q**5 - 27*q + 1/27*q**4 + 0*q**2 + 0 + 1/9*q**3. Let n(t) = 0. What is t?
-1, 0, 3
Let t = -4 + 6. Let r(q) = -q**3 + 30*q**2 + 12*q - 355. Let f be r(30). Find g, given that 1/2*g**2 - t*g**f - 1/2*g**4 + 0 + 0*g + 2*g**3 = 0.
-1, -1/4, 0, 1
Let x(g) = 2*g**3 + 92*g**2 + 1148*g + 1940. Let d(m) = -m - 1. Let c(r) = -4*d(r) - x(r). Determine v, given that c(v) = 0.
-22, -2
Let q be (-4)/(-14) + (2 - (-15)/21). Let o(m) be the first derivative of -8/7*m + 7 - 24/7*m**2 + 7/2*m**4 - 2*m**q