/3 - 2*u**2/7 + 80*u/7 - 500. Factor x(y).
-2*(y - 2)*(y + 4)*(y + 5)/7
Let c(l) = l**3 - 4*l**2 - 3*l + 2. Let x be c(4). Let g be 1*(-1 + -3) - x. Factor -g - 12*q**2 - 21*q + 3*q**3 + 0*q**3 + 36*q.
3*(q - 2)*(q - 1)**2
Let o(b) be the first derivative of 5/3*b**3 - 39 + 5*b**2 + 0*b. Factor o(u).
5*u*(u + 2)
Let m(v) be the first derivative of 2/15*v**3 - 1/25*v**5 - 1/5*v + 1/30*v**6 - 1/10*v**4 + 1/10*v**2 - 13. Factor m(a).
(a - 1)**3*(a + 1)**2/5
Suppose 0 = 5*z + 15, -b + 21 = -5*z - 8. Suppose b*x = 17*x - 6. Factor r + 1/4*r**x + 3/4.
(r + 1)*(r + 3)/4
Let y(n) be the second derivative of n**5/20 - 5*n**4/12 - 2*n**3/3 + 11*n**2/2 - 24*n. Let c(z) = 4*z**2 + 4*z - 12. Let w(b) = 3*c(b) + 4*y(b). Factor w(q).
4*(q - 2)*(q - 1)*(q + 1)
Suppose 6*j = 5*j + 15*j. Let x(q) be the second derivative of 0*q**2 + 5*q + 1/8*q**4 + 0*q**5 + j - 1/60*q**6 + 1/6*q**3. Factor x(c).
-c*(c - 2)*(c + 1)**2/2
Suppose 2521*a = 2477*a + 88. Let -9/7*j**a - 1/7*j**4 + j**3 + 54/7 - 27/7*j = 0. What is j?
-2, 3
Let p be (-2)/6 + (-104)/(-6). Find w such that -w**2 - 8*w**3 + w + w**4 + 24*w**3 - p*w**3 = 0.
-1, 0, 1
Let g = 226 - 226. Factor -31/5*q**3 + 16/5*q**5 + g - 4/5*q**2 + 0*q - 56/5*q**4.
q**2*(q - 4)*(4*q + 1)**2/5
Let y(o) be the second derivative of 2*o**6/15 + 18*o**5/5 - 21*o**4 + 8*o**3/3 + 168*o**2 - 287*o + 1. Factor y(h).
4*(h - 2)**2*(h + 1)*(h + 21)
Suppose 3*u + 5*q - 21 - 22 = 0, 117 = 5*u - 3*q. Factor 3 - 9*g - 15*g + 43*g**2 - 16*g**2 + u*g**2.
3*(4*g - 1)**2
Let y be 1 + 0 - ((-2 - -5) + -4). Factor -7*g**3 - 4*g**3 - g**5 - 4*g**y - 3*g**5 - g**3 - 12*g**4.
-4*g**2*(g + 1)**3
Let g(a) be the first derivative of 5*a**4/4 - 10*a**3/3 - 35*a**2/2 - 20*a + 242. Determine s, given that g(s) = 0.
-1, 4
Suppose -5*i = -83 - 117. Let q(w) = 65*w**3 - 25*w**2 - 40*w + 40. Let l(m) = 5*m**3 - 2*m**2 - 3*m + 3. Let t(u) = i*l(u) - 3*q(u). Factor t(x).
5*x**2*(x - 1)
Let y(v) be the third derivative of 1/60*v**6 + 1/168*v**8 + 0*v**3 + 0*v + 15*v**2 + 0 + 0*v**4 + 0*v**5 - 2/105*v**7. Find c such that y(c) = 0.
0, 1
Let z = 2726/3 + -40874/45. Let w(m) be the first derivative of 3 - 1/9*m**6 - 1/3*m**4 + 0*m + 1/9*m**2 - z*m**5 + 0*m**3. What is u in w(u) = 0?
-1, 0, 1/3
Let f(c) be the first derivative of -16*c**6/9 + 112*c**5/15 - c**4/6 - 50*c**3/3 + 3*c**2 + 18*c + 22. Solve f(g) = 0 for g.
-3/4, 1, 3
Let x(r) be the first derivative of -r**7/105 + r**6/36 + 7*r**5/60 - r**4/6 + 4*r**3/3 + 10. Let j(b) be the third derivative of x(b). Factor j(t).
-2*(t - 2)*(t + 1)*(4*t - 1)
Let x = 204/19 + -389/38. Factor 9/4*y**2 - x - 7/4*y.
(y - 1)*(9*y + 2)/4
Suppose u - 2 = 2*u. Let g(q) = -21*q**4 + 51*q**3 - 19*q**2 + 11*q. Let o(i) = 4*i**4 - 10*i**3 + 4*i**2 - 2*i. Let m(v) = u*g(v) - 11*o(v). Factor m(s).
-2*s**2*(s - 3)*(s - 1)
Let y(g) = g**2 - 9*g + 2. Let a = 5 - -4. Let z be y(a). Suppose 36*t**3 - 24*t**5 - 8*t - z*t**4 + 22*t**4 - 20*t**2 - 4*t**5 = 0. Calculate t.
-1, -2/7, 0, 1
Let c = 1127/295 - 13/59. Solve 4/5 - 14/5*o + c*o**2 - 2*o**3 + 2/5*o**4 = 0 for o.
1, 2
Let -668/9*u**2 - 128/9 - 208/3*u - 62/3*u**3 - 14/9*u**4 = 0. What is u?
-8, -4, -1, -2/7
Let k(y) be the first derivative of 2*y**6/3 - 16*y**5/5 + 3*y**4 + 16*y**3/3 - 8*y**2 - 547. Factor k(s).
4*s*(s - 2)**2*(s - 1)*(s + 1)
Let l be ((-1536)/1152)/(44/3*(-1)/12). Factor 26/11*a - l + 2/11*a**3 - 16/11*a**2.
2*(a - 6)*(a - 1)**2/11
Let c(q) be the second derivative of q**4/48 + 17*q**3/6 - 69*q**2/8 - 67*q + 2. Factor c(j).
(j - 1)*(j + 69)/4
Let t be 5/(-20)*28/(-63). Let s(x) be the first derivative of 5 + 1/12*x**4 + 1/3*x - t*x**3 - 1/6*x**2. Let s(u) = 0. What is u?
-1, 1
Let o be (7/6)/((-65)/(-195)). Solve o*x**3 - 3/2*x**4 + 3*x**2 + 0 + 0*x = 0 for x.
-2/3, 0, 3
Let j(k) = 8*k - 6. Let v be j(3). Suppose 4*i + v = 3*i - 4*d, -i + 22 = -4*d. Suppose 1/2*u**4 + 0*u**3 + 1/2 + 0*u - u**i = 0. Calculate u.
-1, 1
Suppose -3*g - 3*r = -12, -3*g + 4*r + 75 = 63. Let o(j) be the first derivative of -11 - j**g - 2*j**2 - 10/3*j**3 + 0*j. Factor o(q).
-2*q*(q + 2)*(2*q + 1)
Suppose 0*o - 16 = -4*o. Suppose -l - 2 = 2*n, -n - 3*l = o + 2. Determine f, given that -1/2*f**2 + n*f + 0 = 0.
0
Suppose 0 = 5*b - 6 - 9. Let u(n) be the second derivative of 0 + 5*n + 1/70*n**6 + 0*n**2 - 9/140*n**5 + 1/14*n**4 + 0*n**b. Factor u(v).
3*v**2*(v - 2)*(v - 1)/7
Let m be 0 + 3 + -3 + 3. Factor -14 + 14 - 10*c**2 - 5*c**m.
-5*c**2*(c + 2)
Let k(b) be the first derivative of -4/3*b**3 - 1/10*b**5 - 3/2*b**2 + 3/4*b**4 + 9/2*b + 13. What is w in k(w) = 0?
-1, 1, 3
Factor -225*z**2 + 3*z**4 + 178*z - 96*z - 48*z**3 - 120 - 376*z.
3*(z - 20)*(z + 1)**2*(z + 2)
Let j(c) be the third derivative of c**9/30240 - c**8/1260 + 2*c**7/315 + 4*c**5/15 + 8*c**2. Let r(m) be the third derivative of j(m). Factor r(x).
2*x*(x - 4)**2
Let u be (-132)/(-48) + 1/4. Let o(y) be the first derivative of -44/5*y**u + 2*y**5 - 44/5*y**2 + 1 - 16/5*y - 1/2*y**4. What is c in o(c) = 0?
-1, -2/5, 2
Let z(u) be the first derivative of 7*u**3/3 - 23*u**2/2 + 6*u - 159. Find y, given that z(y) = 0.
2/7, 3
Suppose -3*g + 26 - 17 = 0. Find p such that 2 - p**2 - p + 0 - g + 3 = 0.
-2, 1
Let r(c) be the first derivative of 27*c**4/20 + 16*c**3/5 - 27*c**2/10 - 48*c/5 + 326. Find u such that r(u) = 0.
-16/9, -1, 1
Determine h, given that 1/3*h**2 + 13/3*h + 0 = 0.
-13, 0
Let s(g) be the first derivative of -32/3*g**3 + 5*g**4 + 8*g - 7 + 2*g**2. Factor s(u).
4*(u - 1)**2*(5*u + 2)
Let i(u) = 13*u + 223. Let m be i(-17). Factor -10/3*a**2 + 2/3 + 2/3*a + m*a**3.
2*(a - 1)**2*(3*a + 1)/3
Suppose 79 - 40 = 8*a - 121. Factor 5*l**3 - 25/4*l**2 - 5/2*l - 16*l**5 + a*l**4 - 1/4.
-(l - 1)**2*(4*l + 1)**3/4
Suppose 0 = 5*g - 4 - 21. Suppose -4*w - 4*y = y, -w - g*y = 0. Suppose w*t**4 - 7*t**3 - 3*t**3 + 2*t**4 - 8*t + 16*t**2 = 0. Calculate t.
0, 1, 2
Solve -21/4*t + 3/4*t**3 + 9/2 + 0*t**2 = 0.
-3, 1, 2
Let z(t) be the third derivative of 2*t**7/105 - 17*t**6/30 + 21*t**5/5 + 27*t**4/2 - 175*t**2. Factor z(n).
4*n*(n - 9)**2*(n + 1)
Let j(m) be the third derivative of -11*m**7/630 + 79*m**6/360 - 4*m**5/9 + m**4/6 - 128*m**2. Solve j(o) = 0 for o.
0, 2/11, 1, 6
Let m(y) be the second derivative of y**5/80 - 5*y**4/48 + 7*y**3/24 - 3*y**2/8 + 12*y. Factor m(v).
(v - 3)*(v - 1)**2/4
Let u = 33 + -27. Let c(d) be the first derivative of -2*d + 4/3*d**3 + d**4 + 3 - d**2 - 1/3*d**u - 2/5*d**5. Solve c(q) = 0.
-1, 1
Factor 0*t + 1/3*t**4 + 0 - 4/3*t**3 + 4/3*t**2.
t**2*(t - 2)**2/3
Factor 4/3*d - d**2 - 1/3*d**3 + 4.
-(d - 2)*(d + 2)*(d + 3)/3
Let i(w) be the second derivative of w**6/40 - w**5/10 + 5*w**4/48 + w - 126. Factor i(j).
j**2*(j - 1)*(3*j - 5)/4
Let k be (-595)/714*1/(20/(-8)). Factor -4/3 - 5/3*u - k*u**2.
-(u + 1)*(u + 4)/3
Let v = 62 + -54. Suppose -5*c + 25 = 5*o, -2*o - c + v = -0. What is r in -o*r + 9/2*r**3 + 3/2*r**2 + 0 = 0?
-1, 0, 2/3
Let h = 20117 + -100577/5. Suppose -f**2 - 1/5*f**3 - h*f - 4/5 = 0. Calculate f.
-2, -1
Let w(k) be the second derivative of k**7/756 + k**6/540 - k**5/60 + 7*k**4/12 + 11*k. Let l(c) be the third derivative of w(c). Let l(d) = 0. Calculate d.
-1, 3/5
Let c(p) = -p**3 - 3*p**2 + 105*p - 34. Let v be c(-12). Suppose -7*q - 1/2*q**v + 0 = 0. What is q?
-14, 0
Let q(d) = 8*d**2 + 2*d + 13. Let o(g) = -7*g**2 - g - 12. Let k(f) = -7*o(f) - 6*q(f). Factor k(w).
(w - 3)*(w - 2)
Let m = 365/9 + -12769/315. Let g(v) be the second derivative of 0*v**5 - 1/21*v**3 + 0*v**2 + 1/147*v**7 - m*v**6 + 1/21*v**4 + 0 + 9*v. Factor g(s).
2*s*(s - 1)**3*(s + 1)/7
Let i(w) = -w**2 - 20*w - 62. Let d be i(-16). Let x(s) be the first derivative of 3 + 3/14*s**d - 1/7*s**3 + 6/7*s. Factor x(v).
-3*(v - 2)*(v + 1)/7
Let d = 435 + -432. Let f(p) be the first derivative of p**4 + 2/3*p**6 - 4*p**d - 3 + 0*p + 12/5*p**5 - 4*p**2. Factor f(m).
4*m*(m - 1)*(m + 1)**2*(m + 2)
Suppose -m = 4*d + 211 - 207, -d - 1 = m. Suppose 1/2*u**5 + 0*u**2 + 0*u**3 + m + 0*u + 1/2*u**4 = 0. Calculate u.
-1, 0
Let h be (420/91)/(-20) + 201/195. Solve -2/5*s**3 + h + 2/5*s**4 - 6/5*s**2 + 2/5*s = 0 for s.
-1, 1, 2
Let z be (14/(-4) - -2)*10/(-3). Factor -6*l**3 - 3*l**4 + 3*l**2 + z*l**5 + 3*l**3 - 2*l**5.
3*l**2*(l - 1)**2*(l + 1)
Let n(g) = -81*g**3 - 531*g**2 - 351*g + 33. Let o(z) = 5*z**3 + 33*z**2 + 22*z -