ctor m(u).
-u*(u - 32)/3
Factor 0*d**3 + 12*d**4 - d**3 + 31029*d**2 + d**5 - 31041*d**2.
d**2*(d - 1)*(d + 1)*(d + 12)
Let u = -48/17 - 3599/68. Let q = u - -56. Determine j, given that 1/2 + q*j - 1/4*j**2 = 0.
-1, 2
Let q(o) be the third derivative of -o**5/90 + 799*o**4/108 + 178*o**3/9 + 3170*o**2. Factor q(r).
-2*(r - 267)*(3*r + 2)/9
Suppose 5*z = 4 + 31. Factor -25*x**2 - z*x - 1 + 67*x - 19.
-5*(x - 2)*(5*x - 2)
Let l(v) be the second derivative of v**6/10 - 81*v**5/10 + 155*v**4/4 - 51*v**3 - v - 48. Solve l(n) = 0 for n.
0, 1, 2, 51
Suppose 0 = -3*v - 3, 5*y - 15 = 2*v + 7. Let x(q) be the third derivative of -12*q**2 + 3/40*q**6 + 0*q + 1/8*q**y + 0 + 1/4*q**5 - 1/2*q**3. Factor x(d).
3*(d + 1)**2*(3*d - 1)
Solve 3/4*y**5 + 33/4*y**2 + 0 - 9/4*y**4 - 9/4*y**3 - 9/2*y = 0 for y.
-2, 0, 1, 3
Let q(t) be the second derivative of t**6/6 + 3*t**5/4 - 115*t**4/12 + 55*t**3/2 - 35*t**2 + 178*t. Solve q(u) = 0.
-7, 1, 2
Let v(k) = -3*k**4 - 3*k**3 - 25*k**2 - 5*k. Let n(t) = -4*t**4 - 2*t**3 - 27*t**2 - 4*t. Let i(f) = 4*n(f) - 5*v(f). Factor i(b).
-b*(b - 9)*(b + 1)**2
Suppose 3/5*v + 228 - 3/5*v**2 = 0. Calculate v.
-19, 20
Factor 4/9*a**3 - 8*a**2 + 152/3 - 100/9*a.
4*(a - 19)*(a - 2)*(a + 3)/9
Let a = 759/10 - 757/10. Determine f, given that -169/5*f**3 + 0*f**2 - 26/5*f**4 - a*f**5 + 0*f + 0 = 0.
-13, 0
Suppose 0*d - 132 = 3*d. Let u = d - -64. Factor 17*a + 6*a**2 - 17*a - a**2 + u*a.
5*a*(a + 4)
Let s(m) be the first derivative of -m**5/45 + 17*m**4/27 - 160*m**3/27 + 128*m**2/9 - 222*m - 46. Let f(b) be the first derivative of s(b). Factor f(c).
-4*(c - 8)**2*(c - 1)/9
Let n(x) be the first derivative of x**3/4 + 1443*x**2/4 + 694083*x/4 + 1733. Factor n(w).
3*(w + 481)**2/4
Let q be ((-804)/(-737))/(36/24). Find i, given that q*i**3 + 0 + 2/11*i**5 - 14/11*i**4 + 24/11*i**2 + 0*i = 0.
-1, 0, 2, 6
Let j = -102544 + 102544. Factor 0*v**3 - 3/7*v**4 + j + 3/7*v**5 + 0*v + 0*v**2.
3*v**4*(v - 1)/7
Let v(r) be the second derivative of r**6/6 - 3*r**5 - 305*r**4/12 - 40*r**3 - 6*r + 59. Factor v(k).
5*k*(k - 16)*(k + 1)*(k + 3)
Factor 3/7*o**5 + 48/7*o**4 + 0 - 900/7*o**3 + 0*o + 432*o**2.
3*o**2*(o - 6)**2*(o + 28)/7
Suppose 0 = -23*h + 206 - 68. Factor -h*t**3 + 11 - 11*t**3 + 4*t**4 - 52*t + 60*t**2 - 8*t**3 + 5 - 3*t**3.
4*(t - 4)*(t - 1)**3
Suppose 5*p = -12*p + 68. Factor -420 - 41*f - p*f**2 + 85*f - 64 + 3*f**2.
-(f - 22)**2
Suppose 4*a - 10 = 2. Suppose -k + 5*m = 2, -5*k - a*m + 16 = -2*m. Suppose -3*v + 6*v**4 - 65 + 63 + k*v**3 + v**2 - 2*v**4 - 3*v**4 = 0. Calculate v.
-2, -1, 1
Let d(c) be the third derivative of -c**6/30 + 3*c**5/5 + 27*c**4/2 - 486*c**3 - 147*c**2 + c. Find r such that d(r) = 0.
-9, 9
What is i in -5208*i + 2/3*i**4 + 7436/3*i**2 + 248/3*i**3 + 2646 = 0?
-63, 1
Solve 1/7*h**4 + 76/7*h + 1/7*h**3 - 8 - 30/7*h**2 = 0 for h.
-7, 2
Suppose -5167*x = 4*t - 5172*x - 86, -2*t + 22 = -x. Suppose -9/4*r**t - 5*r + 5/4*r**2 + 5*r**3 + 1 = 0. What is r?
-1, 2/9, 1, 2
Let f(a) = -179*a**3 - 17325*a**2 - 60382*a - 52479. Let o(m) = 20*m**3 + 1924*m**2 + 6709*m + 5831. Let q(n) = 4*f(n) + 35*o(n). Determine y so that q(y) = 0.
-119, -7/4
Suppose 5*l = -a - 31 - 14, -2*a + 5*l = 45. Let u be (-9)/((a/(-56))/(-5)). Let 4*c**5 - 84*c + u*c + 0*c**5 = 0. Calculate c.
0
Determine c so that -49995*c**2 - 3/2*c**4 - 468*c**3 - 1958592*c - 27818127/2 = 0.
-101, -9
Solve -97/7*l**3 + 0 - 54/7*l**2 - 3*l**4 - 8/7*l = 0.
-4, -1/3, -2/7, 0
Let w be (-4 + 16)/(-4) - -7. Determine c, given that 2*c**4 - 63*c**3 - 315*c + 90 + 10*c**5 - 37*c**w + 8*c**3 + 305*c**2 = 0.
-3, 1/2, 1, 2, 3
Let z(r) be the second derivative of -r**5/30 - 53*r**4/6 - 1909*r**3/3 + 48223*r**2/3 + 4503*r. Find u, given that z(u) = 0.
-83, 7
Let o(c) be the second derivative of -4*c**6/45 - 49*c**5/15 + 205*c**4/24 - 13*c**3/2 + 68*c - 8. Factor o(a).
-a*(a + 26)*(4*a - 3)**2/6
Let v(t) be the first derivative of 0*t - 17/3*t**3 + 9/4*t**4 + 1 + 25/6*t**2 - 1/15*t**5. Factor v(p).
-p*(p - 25)*(p - 1)**2/3
Let d(r) be the first derivative of -r**5/90 + r**4/18 - 4*r**2/9 + 20*r - 27. Let j(m) be the first derivative of d(m). What is k in j(k) = 0?
-1, 2
Let u be 10 - (-3 - (0 + -2)) - -1. Suppose u*b**4 - 11*b**4 - 100 - 16*b**4 - 130*b**3 + 40*b + 205*b**2 = 0. What is b?
-10, -2/3, 1
Let y(r) be the first derivative of 20 + 8/3*r**3 + 15/2*r**2 + 1/15*r**5 + 0*r - 2/3*r**4. Let d(m) be the second derivative of y(m). What is h in d(h) = 0?
2
Let k(j) be the first derivative of -1/3*j**3 - 3*j**2 + 0*j + 36. Factor k(b).
-b*(b + 6)
Let k(u) be the third derivative of -3*u**6/50 - 39*u**5/50 - 7*u**4/6 + 57*u**2 + 4. Find z such that k(z) = 0.
-35/6, -2/3, 0
Let k(i) be the third derivative of -1/1365*i**7 + 0 - 3/260*i**6 - 4/195*i**5 + 16*i**2 + 0*i + 0*i**4 + 0*i**3. Find v, given that k(v) = 0.
-8, -1, 0
Let w be (-7 - 122/(-6))*((-495)/(-54) + -9). Determine c, given that 0 + 0*c + w*c**2 - 2/9*c**4 - 2/3*c**3 = 0.
-5, 0, 2
Suppose 17*a - 22*a = -3*n - 92, 4*a = 2*n + 76. Find b such that 80/7*b - 242/7*b**3 - a*b**2 - 8/7 = 0.
-1, 2/11
Let u be (-564)/(-36) - 15 - 220/(-66). Factor -45/2*g**2 - 2 + 49/2*g**u - 14*g + 14*g**3.
(g - 1)*(g + 1)*(7*g + 2)**2/2
Factor -1032*c - 4383*c**4 + 741*c**2 - 150*c**3 - 4166*c**4 + 8558*c**4 - 432.
3*(c - 9)*(c - 4)**2*(3*c + 1)
Let l(h) be the third derivative of -13/9*h**3 + 0 + 31/24*h**4 - 63*h**2 + 1/1008*h**8 + 0*h - 1/35*h**7 - 31/45*h**5 + 37/180*h**6. What is f in l(f) = 0?
1, 2, 13
Suppose 3*s - 12 + 0 = 0. Factor -54*i**3 + 16*i + 22*i**2 + 50*i**3 - 4*i**s - 6*i**2.
-4*i*(i - 2)*(i + 1)*(i + 2)
Let a(g) be the first derivative of 20*g**4 - 116*g**3/3 + 18*g**2 - 7. Suppose a(m) = 0. What is m?
0, 9/20, 1
Let b = 4278 - 4270. Let u(k) be the first derivative of 0*k**3 - 1/24*k**4 + 0*k + 0*k**2 + b. Factor u(n).
-n**3/6
Let w(i) be the first derivative of 16/3*i**2 + 128/3*i + 2/9*i**3 - 100. Factor w(h).
2*(h + 8)**2/3
Let c(r) be the first derivative of -7*r**4/2 + 256*r**3/3 - 491*r**2 + 260*r + 1623. Find x such that c(x) = 0.
2/7, 5, 13
Let b(a) = a + 12. Let q be b(-12). Suppose 2*h + 2*i + 0*i - 6 = 0, -4*h - 5*i + 13 = q. Let -12*u**3 + 5*u**5 - u**h - 6*u**2 - u**2 - u**5 = 0. What is u?
-1, 0, 2
Suppose 0*l - 48 = -2*g - 2*l, 2*l + 10 = 0. Suppose -24*m + g*m = 110. Find u such that 33 - 20*u + 37*u**2 - 28 - m*u**2 = 0.
1/3, 1
Suppose 5*w = -11*p + 66, p - 2*p = -2*w - 6. Factor -4/19*f**2 + w + 2/19*f.
-2*f*(2*f - 1)/19
Solve 25/3*y - 1/6*y**2 - 16 = 0 for y.
2, 48
Let p(u) be the second derivative of -u**6/20 - 9*u**5/40 + 39*u**4/8 + 83*u**3/4 + 63*u**2/2 + 1118*u. Let p(n) = 0. Calculate n.
-7, -1, 6
Let l(d) = d**3 - 7*d**2 - 4*d - 30. Let b be l(8). Let h = 60967/9 + -6774. Factor -h*i**b - 1/9*i + 2/3.
-(i - 2)*(i + 3)/9
Let -939 - 1806*g**2 + 495*g + 2865*g - 1461 + 471*g**3 - 23*g**4 + 3*g**5 - 37*g**4 = 0. What is g?
2, 4, 5
Let f = -29/5882 - -129491/17646. Factor -2 - f*i - 16/3*i**2.
-2*(i + 1)*(8*i + 3)/3
Suppose 11243 = -8*j - 7109. Let k = -4579/2 - j. Factor k*g - 3*g**2 - 2 + 1/2*g**3.
(g - 4)*(g - 1)**2/2
Let r be (3798/10128)/(-1 - 7/(-4)). Factor -r*b + 1/2*b**2 + 0.
b*(b - 1)/2
Let i(u) be the first derivative of 6*u**2 + 2/3*u**3 + 10*u - 115. Suppose i(d) = 0. What is d?
-5, -1
Let v = -16370 - -16373. What is p in 0 - 4/9*p**v + 2/3*p**2 - 14/9*p**4 - 4/9*p**5 + 0*p = 0?
-3, -1, 0, 1/2
Let q = 98 + -40. Let v = q + -25. Factor v*j**2 + 3*j - 34*j**2 - 2*j + 6.
-(j - 3)*(j + 2)
Let 4087 - 15*k**3 - 4257 - 820*k**2 - 7*k**3 - 945*k - 28*k**3 + 5*k**3 = 0. What is k?
-17, -1, -2/9
Let j(v) be the second derivative of 0*v**2 + 0 + 0*v**4 + 2/3*v**3 + 1/140*v**5 - 5*v + 1/840*v**6. Let s(a) be the second derivative of j(a). Factor s(i).
3*i*(i + 2)/7
Suppose -4*g - 44 = -9*v, 413*g - 414*g - 11 = 5*v. Factor v*n - 5/2*n**3 + 0 - 5/2*n**2.
-5*n**2*(n + 1)/2
Let y be 170/(-6) + 1/3. Let t = y + 22. Let a(q) = -q**2 + q + 1. Let f(i) = -8*i**2 + 18*i - 12. Let l(h) = t*a(h) + f(h). Determine n so that l(n) = 0.
3
Let y(q) = -2*q**3 - 11*q**2 + 18*q + 69. Let p be y(-2). Factor 1/2*r**3 + 0*r**2 - 2*r**p + 0*r + 0 + 3/2*r**4.
-r**3*(r - 1)*(4*r + 1)/2
Let u(r) = 55*r**2 - 487*r + 988. Let q(d) = 6*d**2 + 2. Let o(z) = 45*q(z) - 5*u(z). Factor o(b).
-5*(b - 485)*(b - 2)
Let d(