/2
Let c = 1048/4797 + 2/533. What is a in 10/9*a + c*a**3 + 8/9*a**2 + 4/9 = 0?
-2, -1
Let v = -1/1491 - -4481/11928. Solve 9/8*q - 3/4 - v*q**2 = 0 for q.
1, 2
Suppose 0 = 5*s + 2*f + 292, -5*f - 233 = 4*s - 4*f. Let m = s - -60. Factor -2*c**4 + 0*c + 0 - 2/3*c**m - 2/3*c**5 - 2*c**3.
-2*c**2*(c + 1)**3/3
Let z(m) be the third derivative of m**7/1155 + m**6/220 + 19*m**2 - m. Factor z(i).
2*i**3*(i + 3)/11
Let a be 6/(-8)*(3 + 38/(-6)). Let s = 602 - 597. Factor -1/2*f**s - a*f**3 + 0 + f**2 + 0*f + 2*f**4.
-f**2*(f - 2)*(f - 1)**2/2
Factor 6/7*r**2 + 12/7*r + 0.
6*r*(r + 2)/7
Let z(v) be the third derivative of v**8/784 - 29*v**7/490 - 9*v**6/20 - 97*v**5/70 - 131*v**4/56 - 33*v**3/14 - 337*v**2. Factor z(o).
3*(o - 33)*(o + 1)**4/7
Suppose -5*c - 25 - 3 = -4*n, -c + 2*n = 8. Let k = c + 6. Solve v**3 + 0*v - 3*v**3 + k*v = 0.
-1, 0, 1
Factor 1/3*j**4 - 4*j**2 + 2/3*j**3 - 5/3 + 14/3*j.
(j - 1)**3*(j + 5)/3
Let s(i) = i**3 + 13*i**2 + 7*i - 9. Let q be s(-12). Suppose q = 3*f + 45. Let 0*x - x**4 + 1/2*x**3 + 0*x**f + 1/2*x**5 + 0 = 0. What is x?
0, 1
Let v(s) be the first derivative of -s**3/5 + 3*s**2/2 + 18*s/5 + 88. Find t such that v(t) = 0.
-1, 6
Let j(x) be the first derivative of 2*x**7/105 + x**6/10 + 2*x**5/15 - x**2 + 23. Let o(z) be the second derivative of j(z). Let o(v) = 0. What is v?
-2, -1, 0
Factor -85*n**2 - 10*n + 0 + 0 + 68*n**2 - 8*n**3 - n**4.
-n*(n + 1)*(n + 2)*(n + 5)
Let i = -1647/5 + 1648/5. Determine f so that -i*f**2 + 16/5*f - 64/5 = 0.
8
Let p be 28*(-36)/(-126) - 70/9. What is b in 0 + 0*b + p*b**2 = 0?
0
Suppose 2*z - 5*c + 2*c = -12, 3*c - 12 = -4*z. Suppose 0 = 2*s + 2*t - z*t + 8, -4*s + 3*t = -19. Factor -s - 169/4*l**2 - 13*l.
-(13*l + 2)**2/4
Let n(v) be the first derivative of v**4/4 + 3*v**3 + 12*v**2 + 20*v + 85. Factor n(l).
(l + 2)**2*(l + 5)
Let z(q) = -q**2 - q. Let a(p) = 4*p**2 + 10*p + 2. Let v(o) = 5*a(o) + 40*z(o). Let f(c) = -19*c**2 + 10*c + 9. Let u(l) = -5*f(l) + 4*v(l). Factor u(y).
5*(y - 1)*(3*y + 1)
Let r(x) = -8*x**2 - 2*x - 10. Let z(b) be the first derivative of -b - 1. Let f = -25 + 26. Let g(p) = f*r(p) - 10*z(p). Solve g(k) = 0.
-1/4, 0
Let q = 893 + -890. Let n(p) be the first derivative of -3/4*p**4 + 8 - p**q + 3*p + 3/2*p**2. Determine m so that n(m) = 0.
-1, 1
Let f(o) be the second derivative of -o**5/100 - o**4/10 - 2*o**3/5 + 3*o**2 - o. Let m(q) be the first derivative of f(q). Let m(l) = 0. Calculate l.
-2
Suppose 3*f - 17 = -i, 2*i - 5*f + 3 = -18. Let q be i/7 - 50/(-35). Let 2/7*o**5 - 6/7*o**4 + q*o**2 + 2/7*o - 4/7*o**3 - 6/7 = 0. Calculate o.
-1, 1, 3
Suppose 5*p - 3*t + 93 = -0*p, 2*p + 3*t + 54 = 0. Let a(x) = x**2 + 22*x + 25. Let o be a(p). Factor -f**3 + 0 - 7/2*f**2 + f + 7/2*f**o.
f*(f - 1)*(f + 1)*(7*f - 2)/2
Let d(t) = -t**2 + t - 1. Let n(r) = 6*r**3 - 27*r + 15. Let f(z) = -3*z**3 + 13*z - 8. Let y(c) = 9*f(c) + 4*n(c). Let j(u) = 6*d(u) - y(u). Factor j(h).
3*(h - 2)*(h - 1)*(h + 1)
Let g(x) be the second derivative of 0*x**2 + 13*x + 3/10*x**6 - 5/3*x**4 - 2/3*x**3 + 0 - 7/20*x**5. Factor g(z).
z*(z - 2)*(z + 1)*(9*z + 2)
Let g(h) = -190*h**2 - 540*h + 55. Let d(n) = 6*n + 1058 - 26*n - 7*n**2 - 1056. Suppose 4*v - 150 = 70. Let p(u) = v*d(u) - 2*g(u). Factor p(x).
-5*x*(x + 4)
Suppose -3*o - 29 + 38 = 0. Let n(m) = -15*m**3 - 61*m**2 - 45*m - 8. Let i(u) = 74*u**3 + 306*u**2 + 224*u + 40. Let k(t) = o*i(t) + 16*n(t). Factor k(c).
-2*(c + 1)*(c + 2)*(9*c + 2)
Suppose 5 = j, 5*q - 5*j + 2 = -8. Factor n**4 - 2*n**2 - n**3 - 8*n**q + 12*n**3 - 2*n**3.
n**2*(n - 1)*(n + 2)
Let t(a) be the first derivative of 7 - 2/21*a**3 - 4/7*a**2 - 8/7*a. Let t(o) = 0. What is o?
-2
Let i = -574 + 13781/24. Let u(y) be the third derivative of -1/6*y**3 + 9*y**2 - 1/15*y**5 + 0*y + i*y**4 + 0. Factor u(s).
-(s - 1)*(4*s - 1)
Factor 2/3*n**2 - 122/3*n + 40.
2*(n - 60)*(n - 1)/3
Let m = -1680 - -21842/13. Factor 0*p**4 + m*p - 4/13*p**3 + 0*p**2 + 2/13*p**5 + 0.
2*p*(p - 1)**2*(p + 1)**2/13
Let g = -350 + 9452/27. Let m(c) be the second derivative of 0 - 9*c - 1/9*c**2 - g*c**3 - 1/54*c**4. Find f such that m(f) = 0.
-1
Let g(d) = 6*d**4 - 33*d**3 - 13*d**2 + 7*d - 32. Let k(y) = -3*y**4 + 16*y**3 + 6*y**2 - 4*y + 15. Let w(q) = -6*g(q) - 13*k(q). Let w(x) = 0. What is x?
-1, 1/3, 1, 3
Suppose 0 = -7*h + 9*h - 10. Determine k so that -h - 44*k - 3 + 249*k**2 - 287*k**2 - 9*k**3 = 0.
-2, -2/9
Let o(z) = -5*z**2 - 4*z. Let d(k) = k. Suppose -82 = -5*m + 88. Let t = m - 32. Let s(g) = t*d(g) + o(g). Factor s(i).
-i*(5*i + 2)
Suppose -7*c + 20 = 6. Let p(y) be the first derivative of -y + 5 - 5*y + 8*y**2 - 2*y - 26*y**c - 12*y**3. Factor p(f).
-4*(3*f + 1)*(3*f + 2)
Suppose -195 + 226*y + 5*y**2 - 51*y - 83*y - 42*y = 0. Calculate y.
-13, 3
Let h(l) be the second derivative of -3*l**6/25 - 26*l**5/25 - 11*l**4/10 + 2*l**3/3 - 399*l. Suppose h(d) = 0. Calculate d.
-5, -1, 0, 2/9
Let f = -172 - -177. Let c(l) be the first derivative of -12*l**2 + 4*l**3 + 9/2*l**4 - 3*l**f + 0*l + 1/2*l**6 - 8. Factor c(o).
3*o*(o - 2)**3*(o + 1)
Suppose -2*k + 1 = -q, -2*k - 4 = 8*q - 10*q. Let v(a) be the first derivative of -4*a**k - 12*a**2 + 5 - 16*a - 1/2*a**4. Find w such that v(w) = 0.
-2
Suppose 0 = -3*j + i + 17, 4*j + 4*i = 2*j - 12. Solve 6*a - a**2 - 5*a**j + 6*a**2 + 5*a**3 - 11*a = 0.
-1, 0, 1
Factor -2*k**2 + 258 + 24*k + 299 + 5*k**2 - 521.
3*(k + 2)*(k + 6)
Factor -1/4*l**3 + 1/2*l**2 - 1/4*l + 0.
-l*(l - 1)**2/4
Let q = 4211/2 + -2101. Let n(z) be the second derivative of -5/4*z**4 - q*z**2 + 0 + 3/20*z**5 + 4*z + 7/2*z**3. What is l in n(l) = 0?
1, 3
Factor 40/9*x**3 - 2/9*x**4 + 0*x - 2/9*x**5 + 0*x**2 + 0.
-2*x**3*(x - 4)*(x + 5)/9
Let y(j) = 32*j**2 - 1056*j. Let v be y(33). Solve 0 + 13/2*r**3 + v*r**2 + 0*r**4 - 9/2*r**5 - 2*r = 0.
-1, -2/3, 0, 2/3, 1
Let b be (-120)/180*(7/(-2) - 1). Let x(y) be the first derivative of 9/4*y**4 - 3*y + y**b - 9/2*y**2 - 5. Factor x(i).
3*(i - 1)*(i + 1)*(3*i + 1)
Let c be (-17)/(-51) + 88/6. Suppose -4*v = v - c. Suppose -5*k**3 + v*k**3 + 0*k**3 + 6*k**2 = 0. Calculate k.
0, 3
Suppose 54*w - 20278 = -20278. Let v(x) = -4*x - 1. Let g be v(-1). Factor -2/7*o**2 + 0 + 0*o**g + 2/7*o**4 + w*o.
2*o**2*(o - 1)*(o + 1)/7
Let r be (0/(-3) - 0)/2. Let 7*f**2 + 5 + r*f**2 - 2*f**2 - 10*f = 0. What is f?
1
Solve 2/7*z**2 - 32/7*z + 0 = 0 for z.
0, 16
Determine t so that -5*t**4 - 2 - 17/4*t**2 - 21/2*t + 87/4*t**3 = 0.
-2/5, -1/4, 1, 4
Let o(b) = b**3 - 20*b**2 + b - 9. Let z be o(20). Suppose -3*l + 2*l - 7 = -v, 0 = -5*v - l + z. Factor -2/9*d**v + 0 - 2/9*d**2 + 4/9*d.
-2*d*(d - 1)*(d + 2)/9
Let g(o) = o**3 + 6*o**2 - 8*o - 4. Let d be g(-7). Suppose 3*v - 18 = -0. Suppose -2*s + 3*s**2 + 3 - s - d*s**5 + 3*s**4 - 9*s**2 + v*s**3 = 0. Calculate s.
-1, 1
Let n = -2967 - -11869/4. Factor 1/8*l + n - 1/8*l**2.
-(l - 2)*(l + 1)/8
Let i(m) = -m**3 + 27*m + 48. Let x be i(-2). Factor 2/19*t + 0 + 50/19*t**3 - 20/19*t**x.
2*t*(5*t - 1)**2/19
Factor 350/3*r - 235/3*r**2 - 80/3 - 35/3*r**3.
-5*(r - 1)*(r + 8)*(7*r - 2)/3
Let b(l) be the first derivative of -l**5/80 + l**3/8 + l**2/4 - 18*l - 15. Let x(h) be the first derivative of b(h). Factor x(d).
-(d - 2)*(d + 1)**2/4
Let d(r) be the third derivative of -r**6/180 + 7*r**5/90 - 2*r**4/9 - 16*r**3/9 + 11*r**2 + 3*r. Suppose d(i) = 0. What is i?
-1, 4
Let w be (-36)/6*34/(-102). Find h such that 144/5*h + 192*h**w + 39*h**4 - 48/5 + 828/5*h**3 = 0.
-2, -2/5, 2/13
Suppose -3*i + 12 = -0. Suppose i*v = 16 - 8. Suppose -5*p**4 + v*p**4 + 8*p**5 + 2*p**3 - 7*p**4 = 0. What is p?
0, 1/4, 1
Let r(q) = 14*q + 19. Let b be r(-16). Let u be 0 - -1 - (-41)/b. Factor -u*m**3 + 16/5*m**2 - 4*m + 8/5.
-4*(m - 2)*(m - 1)**2/5
Let j = 2932/3 + -12403/12. Let a = j + 57. Find s such that -3/2*s**4 + 0 + 0*s**2 + 0*s - 3/4*s**3 - a*s**5 = 0.
-1, 0
Suppose 0 - 6/11*l + 6/11*l**3 + 30/11*l**4 - 30/11*l**2 = 0. What is l?
-1, -1/5, 0, 1
Let 2/7 - 4/7*s**3 + 0*s**4 + 3/7*s + 1/7*s**5 - 2/7*s**2 = 0. What is s?
-1, 1, 2
Solve 6*o - 1461*o**2 - 2*o + 1463*o**2 = 0 for o.
-2, 0
Suppose 32/9 + 20/9*h + 2/9*h**2 = 0. What is h?
-8, -2
Let h(z) be the third derivative of -z**8/3360 - z**7/210 - 17*z**6/1200 - z**5/75 + 237*z**2. Find p, given that h(p) = 0.
-8, -1, 0
Suppose h = 2*n - h - 32, -3 = 3*h. Let i be (-16