 t be ((-1)/(-2))/((-2)/(-140)). Suppose 5*k + 5 = t. Suppose n**3 - k - n + 6 = 0. What is n?
-1, 0, 1
Find j, given that -2/9*j**2 - 4/3*j + 0 = 0.
-6, 0
Let u(l) be the third derivative of l**7/315 - l**6/90 + l**5/90 + 38*l**2. Factor u(i).
2*i**2*(i - 1)**2/3
Let q = -1037/5 - -208. Solve 0*l**2 - q*l**3 + 0 + 0*l = 0.
0
Let x = 1 + 2. Solve 19*v - 87*v**5 - x*v + 400*v**4 + 279*v**5 + 1 + 99*v**2 + 292*v**3 = 0 for v.
-1, -1/3, -1/4
Let l(v) be the second derivative of 1/12*v**2 + 1/36*v**4 + 2*v + 1/12*v**3 - 1/60*v**6 - 1/60*v**5 - 1/252*v**7 + 0. What is f in l(f) = 0?
-1, 1
Suppose -4*t + 3*t - 1 = 5*b, 5*b - 3*t = 3. Let p(l) be the third derivative of -2*l**2 + 1/120*l**5 + b*l**4 + 0*l - 1/12*l**3 + 0. Factor p(f).
(f - 1)*(f + 1)/2
Suppose -2*a + 7 = -w + 4*w, 0 = 2*a + 2. Factor 4*s + 2*s**w + s - 3*s - 4*s**2.
2*s*(s - 1)**2
Let b be 32/10 - (-8)/(-40). Suppose 4*v + b = 11. Factor -2/5*r**v - 2/5 + 4/5*r.
-2*(r - 1)**2/5
What is k in -2/7*k**5 + 0 - 4/7*k**2 + 2/7*k + 0*k**3 + 4/7*k**4 = 0?
-1, 0, 1
Let a = -14/33 - -12/11. Let p(v) be the second derivative of -2/3*v**4 - 1/30*v**6 + 0 + a*v**3 + 1/4*v**5 - v + 0*v**2. Factor p(t).
-t*(t - 2)**2*(t - 1)
Let l be -5*(16/10)/(-2). Factor 0*w + 3*w**2 - 5*w**2 + 0 - 2 + l*w.
-2*(w - 1)**2
Let k(z) = z**3 - 3*z**2 + 2*z + 2. Let a be k(2). Let n(f) be the first derivative of -f**a + 2 + 0*f - 3/2*f**4 + 2/5*f**5 + 2*f**3. Factor n(y).
2*y*(y - 1)**3
Solve -5*k**2 - 16*k - 2 - 16 + 7*k**2 = 0.
-1, 9
Factor 12/13 + 12/13*g**2 - 2/13*g**3 - 22/13*g.
-2*(g - 3)*(g - 2)*(g - 1)/13
Let v(h) be the second derivative of h**9/7560 + h**8/2100 + h**7/2100 + h**3/3 + 5*h. Let j(g) be the second derivative of v(g). Solve j(p) = 0.
-1, 0
Factor 8*j**3 - 2*j**2 + 12*j - 12*j**3 - 2*j**2 - 4*j.
-4*j*(j - 1)*(j + 2)
Let u(b) = 2*b**3 - 6*b**2 - 5*b + 8. Let z(x) = x**3 - 3*x**2 - 3*x + 4. Let y = -11 + 5. Let c(w) = y*u(w) + 10*z(w). Determine v so that c(v) = 0.
-1, 2
Let h(r) = -2*r**2 - 36*r - 12. Let f(d) = -d**2 + d. Let j(k) = -20*f(k) + 2*h(k). Let j(n) = 0. Calculate n.
-1/4, 6
Let z = 866/497 - 2/71. Factor 2/7*h**2 - 48/7*h**3 + 2/7 + 32/7*h**4 + z*h.
2*(h - 1)**2*(4*h + 1)**2/7
Let w(b) = 9*b**3 + 8*b**2 + 10*b - 4. Let o(d) be the second derivative of d**5/20 + d**3/6 - d**2/2 + 6*d. Let k(l) = 5*o(l) - w(l). Solve k(f) = 0 for f.
-1, -1/2
Let v(u) be the third derivative of 1/6*u**5 - 2/3*u**4 + u**3 + 0*u + 0 + 4*u**2. Factor v(q).
2*(q - 1)*(5*q - 3)
Let 2/7*y**4 - 4/7*y**2 - 2/7*y**5 + 2/7 - 2/7*y + 4/7*y**3 = 0. What is y?
-1, 1
Let u(p) be the first derivative of p**6/13 + 8*p**5/65 - 3*p**4/26 - 8*p**3/39 + 52. Suppose u(b) = 0. Calculate b.
-4/3, -1, 0, 1
Let c(b) be the third derivative of 3*b**8/112 + 2*b**7/35 - b**6/10 - 3*b**5/10 + b**4/8 + b**3 - 65*b**2. Factor c(x).
3*(x - 1)*(x + 1)**3*(3*x - 2)
Suppose -7*f = -4 - 10. Let s(z) be the first derivative of 1/6*z**6 + 0*z**5 + 2/3*z**3 - z**4 - f*z + 3/2*z**2 + 4. Suppose s(i) = 0. What is i?
-2, -1, 1
Suppose 5*k - 2*g + 6 = 0, 2*k - 3*g = -2*k - 9. Let y(q) be the second derivative of -1/10*q**2 + 0 + k*q**3 + 2*q + 1/60*q**4. Factor y(m).
(m - 1)*(m + 1)/5
Suppose -3*r - 3 = -3. Factor 0 - 1/4*k + 1/4*k**3 + r*k**2.
k*(k - 1)*(k + 1)/4
Let l(o) be the third derivative of -1/165*o**5 + 0*o**3 + 0*o**4 + 0 - 1/220*o**6 + 0*o + 3*o**2. Factor l(m).
-2*m**2*(3*m + 2)/11
Let d(a) be the first derivative of 2/5*a + 4/15*a**3 - 6/25*a**5 - 1/5*a**4 + 3/5*a**2 - 4 - 1/15*a**6. Factor d(v).
-2*(v - 1)*(v + 1)**4/5
Determine d so that -8*d**3 + 7*d**2 - 8 - 5*d**2 + 6*d**2 - 2*d + 10*d**3 = 0.
-4, -1, 1
Let s(g) be the second derivative of 7*g**6/150 + g**5/50 - 7*g**4/60 - g**3/15 + 31*g. Solve s(v) = 0 for v.
-1, -2/7, 0, 1
Let n(t) be the third derivative of 6*t**2 + 0*t + 1/12*t**3 + 0 - 1/32*t**4 + 1/240*t**5. Solve n(i) = 0.
1, 2
Let k(q) = -q**3 - 5*q**2 - 5*q - 4. Let b be k(-4). Suppose 0 = -2*i - i + 12. Factor -2*s - 1 - 4*s**3 + 6*s - 2*s**i + 3 + b*s**3.
-2*(s - 1)*(s + 1)**3
Suppose 9*v - 21*v = -48. Solve 0*z + 0*z**2 + 2/5*z**3 + 0 + 1/5*z**5 - 3/5*z**v = 0 for z.
0, 1, 2
Suppose 0 = -28*t - 2*t. Solve t*l - 2/3*l**3 + 0 - 2/3*l**2 = 0 for l.
-1, 0
Suppose 0 = -4*h + 3*h + 5. Let n(o) be the third derivative of -3*o**2 + 1/24*o**4 - 1/60*o**h + 0 + 0*o**3 + 0*o. Factor n(s).
-s*(s - 1)
Let u(l) be the third derivative of 0*l - 7*l**2 - 4/15*l**3 + 0 + 0*l**4 + 1/150*l**5. Factor u(o).
2*(o - 2)*(o + 2)/5
Let p = -610 - -610. Let -2/3*g - 1/3*g**2 + p = 0. What is g?
-2, 0
Factor -2/7*t**2 + 2/7*t + 0.
-2*t*(t - 1)/7
Determine j, given that -j**4 - 16*j**2 - 20*j**3 + 20*j - j**4 + 18 + 0*j**2 = 0.
-9, -1, 1
Let u(a) be the third derivative of a**6/150 - a**5/15 + 7*a**4/30 - 2*a**3/5 + 9*a**2. Factor u(c).
4*(c - 3)*(c - 1)**2/5
Suppose 1/2*t**2 - 2*t - 1/2 + 2*t**3 = 0. Calculate t.
-1, -1/4, 1
Find y, given that -3/2*y**4 + 3*y**2 + 0*y**3 + 0*y - 3/2 = 0.
-1, 1
Let g(s) be the third derivative of -3*s**2 + 1/120*s**6 + 0*s**4 + 1/60*s**5 - 1/336*s**8 + 0 - 1/210*s**7 + 0*s**3 + 0*s. Factor g(v).
-v**2*(v - 1)*(v + 1)**2
Factor 49*f**3 + 5*f - 54*f**3 + 5 - 15*f**2 + 2*f**4 + 8*f**4.
5*(f - 1)**2*(f + 1)*(2*f + 1)
Let 2/5*g**3 + 18/5 + 14/5*g**2 + 6*g = 0. What is g?
-3, -1
Let p be (-40)/150*(-2)/4. Let c(s) be the first derivative of 0*s**4 + p*s**5 + 0*s**3 + 0*s - 2 + 0*s**2. Factor c(r).
2*r**4/3
Let h(s) be the third derivative of -s**6/1260 - s**5/630 + s**4/12 + 5*s**3/7 - 49*s**2. Determine w so that h(w) = 0.
-3, 5
Let t = 64/207 - 2/23. Factor t*a**2 + 4/9 + 2/3*a.
2*(a + 1)*(a + 2)/9
Find x, given that 25*x - 54*x + 33*x + 2*x**2 = 0.
-2, 0
Let o(i) be the third derivative of -i**5/12 + 5*i**4/12 + 20*i**3/3 + 4*i**2 + 1. Factor o(y).
-5*(y - 4)*(y + 2)
Let y(d) be the second derivative of -d**6/75 + d**5/10 - 2*d**4/15 + 15*d. What is m in y(m) = 0?
0, 1, 4
Let z(w) = 8*w - 6. Let s(d) = 16*d + d**2 + 0 - 7*d - 13 + 8*d. Let p(k) = 2*s(k) - 5*z(k). Solve p(u) = 0 for u.
1, 2
Let r(k) = 2*k**4 + 15*k**3 - 11*k**2 + 7*k - 13. Let h(v) = v**4 + 8*v**3 - 6*v**2 + 4*v - 7. Let s(d) = -11*h(d) + 6*r(d). Factor s(z).
(z - 1)*(z + 1)**3
Factor 3/7*a**2 - 3/7*a**3 + 1/7*a**4 - 1/7*a + 0.
a*(a - 1)**3/7
Let m(k) = k**3 + 10*k**2 + 8*k - 9. Let w be m(-9). Let h(i) be the first derivative of 0*i**2 + 1 + 0*i - 3/8*i**4 + w*i**3. Factor h(j).
-3*j**3/2
Solve -13/4*x**4 - 15/4*x**3 - x**5 - 7/4*x**2 - 1/4*x + 0 = 0 for x.
-1, -1/4, 0
Let f(t) be the third derivative of t**7/210 - t**6/60 - 3*t**2. Factor f(q).
q**3*(q - 2)
Suppose t - 5*j = -10, -3*j = 4*t + 2*j + 65. Let l be t/(-10)*8/18. Factor 0 + 2/3*v**2 + l*v**3 - 4/3*v.
2*v*(v - 1)*(v + 2)/3
Suppose -a + 4*g = 0, 3*g = 5*a - 2*a. Find z such that 0 + a*z + 0*z**2 + 1/4*z**3 + 1/4*z**5 - 1/2*z**4 = 0.
0, 1
Suppose -16 + 43 = 9*u. Factor 0 + 7/4*v**2 + 5/4*v**u + 1/2*v.
v*(v + 1)*(5*v + 2)/4
Suppose -2*i + 30 = -4*x, -5*i - 2*x - x = -75. Let v = 15 - i. Factor -2/3*m**3 + v + 2/3*m**2 + 0*m.
-2*m**2*(m - 1)/3
Let v(a) = 10*a**3 - a**4 + 6*a**2 - 2*a**2 - 2*a**2 - a + 7*a. Let o(r) = 2*r**4 - 21*r**3 - 5*r**2 - 13*r. Let y(z) = 6*o(z) + 13*v(z). Factor y(c).
-c**2*(c - 2)**2
Suppose 0 = -2*x + 107 + 75. Let z = -269/3 + x. Factor -z - 1/3*j**2 - 4/3*j.
-(j + 2)**2/3
Let -2*l + 2/9*l**2 + 16/9 = 0. What is l?
1, 8
Let a(p) be the third derivative of 2*p**2 + 0*p**3 + 0 + 1/240*p**6 + 0*p - 1/840*p**7 + 0*p**4 - 1/240*p**5. Find q such that a(q) = 0.
0, 1
Let q(g) = 4*g**4 + 14*g**3 + 2*g**2 - 6*g - 7. Let t(k) = -8*k**2 + 1 + 7*k**2 + k - k**4 - k**3 + 0*k. Let b(d) = -3*q(d) - 21*t(d). Factor b(n).
3*n*(n - 1)**2*(3*n - 1)
Let x = 2/11 + 5/33. Factor 1/3 - 2/3*y**2 + x*y.
-(y - 1)*(2*y + 1)/3
Let w(a) be the first derivative of -a**5/60 + a**3/6 - 3*a**2/2 + 3. Let y(m) be the second derivative of w(m). Determine k, given that y(k) = 0.
-1, 1
Let z = -7 - -11. Solve -5*o**4 + 4*o + 2*o**2 + z*o**2 + 3*o**4 = 0 for o.
-1, 0, 2
Let v(o) be the second derivative of o**6/180 - o**4/12 + 2*o**3/9 - o**2/2 - o. Let j(h) be the first derivative of v(h). What is r in j(r) = 0?
-2, 1
Let g(k) be the third derivative of k**6/150 - k**5/75 - 2*k**4/15 + 8*k**3/15 - 8*k**2. Determine j, given that g(j) = 0.
-2, 1, 2
Suppose 0 = -2*o + 5*o - 15. Find a, given th