-1, 2/5, 1
Let u = 317 + -316. Suppose u + 1/2*d**3 - d - 3/4*d**2 + 1/4*d**4 = 0. What is d?
-2, 1
Let n be (-2)/(-3)*(-6)/(-1). Suppose -n*r = -7*r. Factor r + 1/2*c**3 + c - 3/2*c**2.
c*(c - 2)*(c - 1)/2
Let d(x) be the first derivative of -4 - 1/3*x**4 + 0*x + 0*x**3 + 0*x**2 + 2/5*x**5 + 5/9*x**6. Factor d(h).
2*h**3*(h + 1)*(5*h - 2)/3
Let -s**4 + 7*s**3 + 3*s**2 - 2*s**2 - 9*s**3 + 2*s = 0. Calculate s.
-2, -1, 0, 1
Let g = 658327/40722 + 2/6787. Let h = g + -16. Factor 0 - 1/6*o**2 - 1/2*o**3 - 1/2*o**4 + 0*o - h*o**5.
-o**2*(o + 1)**3/6
Let k(n) be the third derivative of -8*n**2 - 1/66*n**4 + 0 + 0*n**3 - 1/165*n**6 - 1/1155*n**7 - 1/66*n**5 + 0*n. Factor k(m).
-2*m*(m + 1)**2*(m + 2)/11
Let w = 43 + -68. Let b = w - -44. Suppose -2*h - b*h**3 - 17*h**3 + 15*h**2 + 54*h**5 + h**2 = 0. Calculate h.
-1, 0, 1/3
Let s(h) be the first derivative of 294*h**3 + 24*h - 126*h**2 - 2 - 1029/4*h**4. Let s(z) = 0. What is z?
2/7
Factor 16/3*i + 0 - 2/3*i**4 - 8*i**2 + 4*i**3.
-2*i*(i - 2)**3/3
Let a(z) be the second derivative of -z**5/20 - z**4/6 + 22*z. Factor a(f).
-f**2*(f + 2)
Let m(u) be the third derivative of u**8/560 - 2*u**7/175 + u**6/50 + 12*u**2. Factor m(g).
3*g**3*(g - 2)**2/5
Let z be (-8)/(-8 - 8)*1/1. Factor -4*n + 0*n**3 - 3/2 - 3*n**2 + z*n**4.
(n - 3)*(n + 1)**3/2
Solve 15/8*q - 3/8*q**2 + 0 = 0.
0, 5
Factor -9/7*p**2 - 12/7 + 6/7*p**3 + 3/7*p**4 - 24/7*p.
3*(p - 2)*(p + 1)**2*(p + 2)/7
Suppose -10 + 35/2*i**2 - 15/4*i**4 + 5*i - 5/4*i**3 = 0. What is i?
-2, -1, 2/3, 2
Let b(g) be the first derivative of g**4/16 - 5*g**3/12 - 12. Let b(n) = 0. What is n?
0, 5
Factor -17*a + 20*a - 5*a**3 + 2*a**3.
-3*a*(a - 1)*(a + 1)
Let d(o) be the second derivative of o**7/56 + 11*o**6/80 + 7*o**5/20 + o**4/4 - o**2/2 + 3*o. Let x(v) be the first derivative of d(v). Factor x(b).
3*b*(b + 2)**2*(5*b + 2)/4
Suppose -12*z = -16*z + 12. Factor 0 - 4/9*t**4 + 2/9*t**5 + 0*t**2 + 0*t + 2/9*t**z.
2*t**3*(t - 1)**2/9
Let i be (-8)/28 - (-102)/14. Determine n, given that -5*n**2 + i*n**4 - 6*n**3 + 6*n - 2 - 3*n**3 + 3*n = 0.
-1, 2/7, 1
Let o be 144/(-28) - -5 - 22/(-14). Solve -2*y**2 + 4/7 + o*y = 0.
-2/7, 1
Factor -8/3*l**3 - 10/3*l**2 + 4/3 + 14/3*l.
-2*(l - 1)*(l + 2)*(4*l + 1)/3
Let n(t) be the second derivative of 1/75*t**6 + 0*t**4 + 0*t**3 + 0 + 3/50*t**5 + 0*t**2 + 4*t. Solve n(x) = 0 for x.
-3, 0
Let w(b) be the first derivative of -2/7*b + 2 - 2/7*b**2 - 2/21*b**3. Determine r so that w(r) = 0.
-1
Let l(v) = -v**2 + 5*v - 4. Let t(k) = -5*k + 5. Let h(g) = 5*l(g) + 4*t(g). Factor h(f).
-5*f*(f - 1)
Let p be 3 - -1 - 50/(-2). Let s = 29 - p. Find k such that -3*k**4 + s - 2/5*k + 1/5*k**3 + 7/5*k**2 + 9/5*k**5 = 0.
-2/3, 0, 1/3, 1
Let n(m) be the second derivative of -m**5/5 + 2*m**3/3 - 3*m**2/2 - 3*m. Let j(h) = 5*h**3 - 5*h + 4. Let s(p) = 3*j(p) + 4*n(p). Solve s(g) = 0 for g.
-1, 0, 1
Let r(v) be the second derivative of v**5/100 + v**4/20 + v**3/15 - 5*v. Find d, given that r(d) = 0.
-2, -1, 0
Let g(w) be the first derivative of 2*w**3/15 + 4*w**2 + 40*w - 8. Solve g(b) = 0.
-10
Factor -1/3*h**2 - 1/2*h**3 + 0*h + 0 + 0*h**4 + 1/6*h**5.
h**2*(h - 2)*(h + 1)**2/6
Let l(y) be the first derivative of -y**6/16 + 3*y**5/40 + 3*y**4/16 - y**3/4 - 3*y**2/16 + 3*y/8 + 7. Let l(d) = 0. Calculate d.
-1, 1
Factor 6/7*o - 6/7*o**2 + 2/7*o**3 - 2/7.
2*(o - 1)**3/7
Let y(q) be the third derivative of q**6/300 + q**5/75 + q**4/60 + 2*q**2. Factor y(l).
2*l*(l + 1)**2/5
Let f(b) = b**3 + 4*b**2 - 11*b + 10. Let k be f(-6). Let 1/4*q**5 - 1/4*q + 0 + 0*q**3 + 1/2*q**2 - 1/2*q**k = 0. Calculate q.
-1, 0, 1
Let s(g) = g**5 - g**4 + g**3 + g**2 + g + 1. Let v(r) = -2*r**4 + 4*r**3 + 2*r**2 + 2*r + 2. Let n(a) = -2*s(a) + v(a). Find p, given that n(p) = 0.
-1, 0, 1
Let d(h) be the third derivative of -h**9/5040 - h**8/2240 + h**4/8 - 4*h**2. Let f(a) be the second derivative of d(a). Factor f(x).
-3*x**3*(x + 1)
Let s(y) = -2*y**3 - 4*y**2 - 3*y. Let f = 4 - 6. Let l be s(f). Suppose 2*g**2 + l*g - 2*g**2 + 3*g**2 + 3 = 0. Calculate g.
-1
Suppose 7*m + 0*m + 315 = 0. Let u be 1*(-4 + m/(-10)). Let u - 1/2*j**3 + 1/2*j - 1/2*j**2 = 0. Calculate j.
-1, 1
Let j(k) = k**3 - 3*k**2 - 7*k + 3. Let y(z) = -3*z**3 + 5*z**2 + 13*z - 5. Let n(c) = -5*j(c) - 3*y(c). Factor n(h).
4*h*(h - 1)*(h + 1)
Let c(p) be the first derivative of -7 + 0*p**2 + 2/15*p**3 + 0*p. What is f in c(f) = 0?
0
Let s = -2183/12 + 182. Let p(x) be the first derivative of 0*x + s*x**3 + 1/8*x**2 + 1. Factor p(k).
k*(k + 1)/4
Let b be 2/(-6) - 39/(-9). Factor -4*n**3 + n**5 + 2*n**4 + 3*n**5 + 2*n - 3*n**5 + 2 - b*n**2 + n**5.
2*(n - 1)**2*(n + 1)**3
Let k(p) be the second derivative of 0*p**2 + 0*p**3 + 0 - 1/3*p**4 + p. Solve k(d) = 0.
0
Let v(u) be the third derivative of 1/120*u**6 + 0*u + 2*u**2 + 0*u**3 + 1/60*u**5 + 0 + 0*u**4. Factor v(h).
h**2*(h + 1)
Let q(z) be the third derivative of -1/120*z**5 - 1/120*z**6 + 0*z**4 - z**2 - 1/420*z**7 + 0*z + 0 + 0*z**3. Factor q(t).
-t**2*(t + 1)**2/2
Let j(w) be the first derivative of 0*w**2 - 4 - 1/16*w**4 + 1/24*w**3 + 1/40*w**5 + 0*w. Factor j(m).
m**2*(m - 1)**2/8
Let g(k) be the third derivative of k**7/1260 + 5*k**3/6 + 5*k**2. Let v(x) be the first derivative of g(x). Factor v(i).
2*i**3/3
Let h(v) be the first derivative of v**6/10 - 8*v**5/15 + 7*v**4/6 - 4*v**3/3 - 3*v**2/2 - 1. Let f(p) be the second derivative of h(p). Factor f(d).
4*(d - 1)**2*(3*d - 2)
Let b be ((-2)/(-2))/(0 + (-5)/(-8)). Factor b + 0*h - 6/5*h**2 - 2/5*h**3.
-2*(h - 1)*(h + 2)**2/5
Let o = 16 + -14. Suppose 2*x - 4 - o = 0. Factor 0 - 8/3*h**x + 2/3*h + 2*h**2.
-2*h*(h - 1)*(4*h + 1)/3
Let r = 57 - 57. Let u(x) be the first derivative of -1/5*x**2 + 2/15*x**3 + 3 + 1/10*x**4 - 2/25*x**5 + r*x. Let u(z) = 0. Calculate z.
-1, 0, 1
Let c(u) = -13*u**2 - 2*u. Let j(l) = 2*l**2. Let a(f) = c(f) + 4*j(f). Factor a(h).
-h*(5*h + 2)
Let l(m) be the first derivative of m**4/4 - 7*m**3/3 + 15*m**2/2 - 9*m + 11. Factor l(i).
(i - 3)**2*(i - 1)
Let y = -2141/26 + 700/13. Let t = 29 + y. Solve t*f**2 + 1/2*f**3 - 1/2*f - 1/2 = 0.
-1, 1
Let x(j) = -j + 19. Let g be x(10). Suppose 28 + g*d - 22 - d**3 - 2*d**3 = 0. Calculate d.
-1, 2
What is w in -4/3*w**2 - 1/3*w**3 - 5/3*w - 2/3 = 0?
-2, -1
Factor -1/4*s**2 - 3/2*s - 9/4.
-(s + 3)**2/4
Let u(f) be the second derivative of -8/25*f**5 - 8/15*f**4 + 1/5*f**2 + 5*f + 0 + 1/15*f**3. Determine y so that u(y) = 0.
-1, -1/4, 1/4
Let b(s) = 2*s**2 + 10*s + 4. Let z(a) = a - 1. Let n(g) = 2*b(g) - 4*z(g). Solve n(y) = 0 for y.
-3, -1
Let v(a) be the second derivative of a**7/378 - a**6/135 - a**5/60 + a**4/27 + 2*a**3/27 - 8*a. Solve v(z) = 0.
-1, 0, 2
Let p(n) be the first derivative of -n**7/70 + n**6/10 - 3*n**5/20 - n**4/2 + 2*n**3 - n**2 - 4. Let v(k) be the second derivative of p(k). Factor v(w).
-3*(w - 2)**2*(w - 1)*(w + 1)
Suppose -5*c + 2*a + 368 = -c, -2*a = c - 87. Let r = -815/9 + c. Determine x, given that 2/9*x**2 + r - 2/3*x = 0.
1, 2
Let r(w) = 2*w**2 - w. Let j be r(-1). Factor -h**3 + h**5 + 3*h**4 - 2*h**4 - 2*h**5 + 3*h**j.
-h**3*(h - 2)*(h + 1)
Suppose 26*j - 28*j = 0. Factor 2/7*g**2 + 0 + 0*g**3 - 2/7*g**4 + j*g.
-2*g**2*(g - 1)*(g + 1)/7
Let m(v) = -v**2 + 12*v. Let t be m(9). Let w be (30/t)/(1/6). Determine p so that -w*p**2 - 2/3 + 13/3*p + 3*p**3 = 0.
2/9, 1
Solve 2/5 - 2/5*h**2 - 3/5*h = 0 for h.
-2, 1/2
Let q(d) be the third derivative of -6*d**2 + 0*d + 1/60*d**4 + 1/150*d**5 + 0*d**3 + 0. Factor q(p).
2*p*(p + 1)/5
Let q(w) be the third derivative of w**5/240 - w**4/16 + 3*w**3/8 - 5*w**2. Factor q(j).
(j - 3)**2/4
Suppose -36*l + 32*l - 2*z + 8 = 0, 5*z = l - 2. Factor -8/5 - 2/5*n**l + 8/5*n.
-2*(n - 2)**2/5
Let x(q) be the first derivative of -2*q**3/45 + 2*q**2/15 - 2*q/15 - 10. Factor x(g).
-2*(g - 1)**2/15
Factor 0*y**4 + 5*y**3 + 3*y**4 - 2*y**3.
3*y**3*(y + 1)
Suppose -6*n = -0*n - 18. Factor 35*h - 27*h - 10*h**n - 4*h**2 + 2*h**4 - 5*h**4.
-h*(h + 2)**2*(3*h - 2)
Factor -24*w**3 - 33*w + 4 + 33*w - 28*w**2.
-4*(w + 1)*(2*w + 1)*(3*w - 1)
Let i(x) = -x**2 - 1. Let c(y) be the third derivative of y**5/15 + y**4/3 + 2*y**3/3 + 2*y**2. Let a(p) = -c(p) - 8*i(p). Factor a(q).
4*(q - 1)**2
Suppose 0 = -z + 4 - 2. Let i = -299/2 + 150. Factor 1/2*t**z + t + i.
(t + 1)**2/2
Suppose 3*a + 