, 0, 1
Suppose -8/3*s**3 - 32/3*s + 16/3 + 1/3*s**4 + 8*s**2 = 0. What is s?
2
Let g(d) be the third derivative of -3*d**2 + 1/120*d**6 - 1/210*d**7 - 1/24*d**4 + 0*d**3 + 0 + 0*d + 1/60*d**5. Suppose g(q) = 0. What is q?
-1, 0, 1
Let a(k) be the third derivative of k**7/315 + k**6/90 - k**4/18 - k**3/9 + 3*k**2. Factor a(y).
2*(y - 1)*(y + 1)**3/3
Let t(o) be the third derivative of 6*o**7/5 + o**6/10 - 62*o**5/15 - 2*o**4 + 16*o**3/3 + 3*o**2. Solve t(l) = 0 for l.
-2/3, 2/7, 1
Let c(s) = s**5 + s**3 + s**2 - s + 1. Let f(l) = -35*l**5 + 10*l**2 + 45*l - 30. Let y(k) = -30*c(k) - f(k). Factor y(w).
5*w*(w - 3)*(w + 1)**3
Let j(p) be the first derivative of -2*p**3/15 + p**2/5 + 4*p/5 - 1. Determine d so that j(d) = 0.
-1, 2
Let g = -56 + 59. Determine u, given that 0*u - 3/2*u**g + 0 - 3/2*u**2 = 0.
-1, 0
Let o = -9 - -15. Let t(a) be the first derivative of -4/45*a**5 + 0*a - 1/9*a**2 + 0*a**4 - 1 + 4/27*a**3 + 1/27*a**o. Factor t(f).
2*f*(f - 1)**3*(f + 1)/9
Let b(l) = -2 - 4*l + l**3 + 3*l + 5 - 2 - l**2. Let y(s) = -2*s**4 - 6*s**3 + 6*s**2 + 6*s - 6. Let o(z) = 6*b(z) + y(z). Solve o(j) = 0 for j.
0
Factor -12/7*u**2 + 2/7*u**3 - 16/7 + 24/7*u.
2*(u - 2)**3/7
Let o = -38 + 13. Let j be (24/(-45))/(5/o). Factor 8/3*z + 2/3*z**2 + j.
2*(z + 2)**2/3
Let p be (-8)/14*(-21)/18. Find g such that 0 - 2/3*g**4 + 1/3*g - 1/3*g**3 + p*g**2 = 0.
-1, -1/2, 0, 1
Let v(t) be the first derivative of -t**3/7 - 6*t**2/7 + 15*t/7 + 61. Factor v(s).
-3*(s - 1)*(s + 5)/7
Let u(g) = g**3 + g**2 - g - 1. Let h(m) = -m**3 - 4*m**3 - 6*m**2 - m**3 + m**3 + 6 + 5*m. Let k(l) = -4*h(l) - 22*u(l). Factor k(z).
-2*(z - 1)**2*(z + 1)
Determine q so that 6/7*q**2 - 8/7 + 0*q - 2/7*q**3 = 0.
-1, 2
Suppose 1/3*i**3 + 0 + 0*i + i**2 = 0. What is i?
-3, 0
Let m = -89 - -93. Factor -1/2*n**2 - n**3 + 0*n - 1/2*n**m + 0.
-n**2*(n + 1)**2/2
Suppose -3*g - 53 = -5*m, 30 + 29 = -5*g + m. Let u = g - -13. Determine d, given that 0*d**3 - 1/2*d**u + 1/2*d**4 + 0*d + 0 = 0.
-1, 0, 1
Let d(f) be the second derivative of -f**6/720 + f**5/120 - f**4/48 + f**3/2 - 3*f. Let a(n) be the second derivative of d(n). Suppose a(p) = 0. Calculate p.
1
Suppose -2/3*m**3 + 1/3*m**5 + 0*m**4 + 0*m**2 + 0 + 1/3*m = 0. Calculate m.
-1, 0, 1
Let g(z) be the third derivative of -4/105*z**6 - 1/105*z**7 - z**2 - 1/42*z**4 - 11/210*z**5 + 0*z + 0*z**3 + 0. Factor g(m).
-2*m*(m + 1)**2*(7*m + 2)/7
Let i(o) = o**4 - o**2 - 1. Let m be 28/(-36) - (-6)/(-27). Let u(p) = -p**5 + p**4 - p**3 - 3*p**2 - 3. Let r(y) = m*u(y) + 3*i(y). Let r(c) = 0. What is c?
-1, 0
Let o(s) be the first derivative of -s**7/189 + s**6/135 + s**5/90 - s**4/54 - s + 2. Let l(t) be the first derivative of o(t). Find n, given that l(n) = 0.
-1, 0, 1
Suppose -2*t - 3*z = 2*t - 6, 0 = 4*t - 4*z - 20. Suppose m + 2 = 4. Factor 0 - 1/4*i**m + 0*i + 1/4*i**t.
i**2*(i - 1)/4
Let g be -1 + 1 + (-4)/(-2). Suppose 2*q = 7 - 3. Factor g*p**2 - 3*p**2 + 0 + 3*p - q.
-(p - 2)*(p - 1)
Solve 0 - 3/4*r + 3/4*r**2 = 0.
0, 1
Let h(q) be the first derivative of q**7/5460 - q**6/2340 - q**5/390 - q**3/3 - 4. Let r(j) be the third derivative of h(j). Determine d, given that r(d) = 0.
-1, 0, 2
Let n = 16 + -13. Factor 3*z - 3*z**3 + z + 6*z**2 - z + n*z**4 - 9*z**4.
-3*z*(z - 1)*(z + 1)*(2*z + 1)
What is g in 0 - 2/19*g**2 - 2/19*g = 0?
-1, 0
Let -1/3*o**3 - 343/3 - 49*o - 7*o**2 = 0. What is o?
-7
Let b(s) = -s**5 + s**4 + s**3 + s**2 - s. Let v(d) = -20*d**5 + 4*d**4 + 8*d**3 + 24*d**2 - 4*d + 4. Let h(l) = -16*b(l) + v(l). Solve h(j) = 0 for j.
-1, 1
Suppose -2*b - 27 = -3. Let t be 54/84*(-14)/b. Let 3/4*h + 1/4*h**2 - 1/4 - t*h**3 = 0. Calculate h.
-1, 1/3, 1
Let d(j) be the first derivative of j**6/6 - j**4/2 + j**2/2 + 1. Let d(y) = 0. Calculate y.
-1, 0, 1
Suppose g - 5*x = 12, -1 + 3 = 4*g + 3*x. What is l in -1/4*l**4 + 1/2*l**3 + 1/4 + 0*l**g - 1/2*l = 0?
-1, 1
Let p(m) be the third derivative of m**11/18480 + m**10/6300 + m**9/7560 + m**5/10 - 3*m**2. Let s(x) be the third derivative of p(x). Solve s(c) = 0.
-2/3, 0
Let s(p) be the third derivative of -p**8/20160 - p**7/2520 - p**6/720 - p**5/10 + 4*p**2. Let w(n) be the third derivative of s(n). Factor w(y).
-(y + 1)**2
Suppose -12 = -0*w + 2*w - 3*a, -4*w - 20 = -5*a. Suppose w = -5*i + 19 + 1. Suppose -2 + 2 - k + i*k**3 - 3*k**2 = 0. What is k?
-1/4, 0, 1
Let l(b) be the third derivative of 25*b**8/2352 - b**7/49 - 11*b**6/840 + b**5/35 + b**4/42 + 4*b**2. Let l(g) = 0. Calculate g.
-2/5, 0, 1
Suppose 3*g = -5*z + 6, -5*g + 10 = -0*z + 3*z. Determine q, given that -4 + 8*q + 4 - 8 - 2*q**g = 0.
2
Let b(l) be the second derivative of -l**8/168 + 2*l**7/105 - l**5/15 + l**4/12 + 2*l**2 - 3*l. Let m(j) be the first derivative of b(j). Factor m(t).
-2*t*(t - 1)**3*(t + 1)
Factor -2 + 1 - 4 - 3 + 8*h + 2*h**2 - 2*h**3.
-2*(h - 2)*(h - 1)*(h + 2)
Let r(f) be the second derivative of f**4/15 - 4*f**3/15 - 19*f. Let r(x) = 0. Calculate x.
0, 2
Let b = 11 + -4. Determine y, given that -y**4 + 2*y**5 + 12*y**4 - 3*y**4 - b*y**3 - 5*y**5 + 2*y**2 = 0.
0, 2/3, 1
Let y = 359 - 10769/30. Let g(s) be the second derivative of 0 + 3*s + 1/15*s**3 - y*s**4 + 0*s**2. Solve g(z) = 0.
0, 1
Let o(l) = -l**2 - l + 8. Let i be o(-4). Let z be 20/(-72) + (-2)/i. Factor 0 + 2/9*a**3 + z*a**2 + 0*a.
2*a**2*(a + 1)/9
Let n(a) be the first derivative of -1/15*a**3 + 0*a**2 + 1/50*a**5 - a - 1 + 0*a**4. Let k(f) be the first derivative of n(f). Factor k(v).
2*v*(v - 1)*(v + 1)/5
Let h be (216/(-252))/(2/(-7)). Solve 0 + 0*f + 4/5*f**4 + 2/5*f**2 + 6/5*f**h = 0.
-1, -1/2, 0
Let h(d) be the first derivative of -9*d**5/5 + 12*d**4 - 24*d**3 + 48*d - 26. Solve h(q) = 0.
-2/3, 2
Factor 4/3*b**3 - 22/3*b + 10/3*b**2 + 8/3.
2*(b - 1)*(b + 4)*(2*b - 1)/3
Let j(c) = -4*c + 44. Let s be j(11). Let t(b) be the third derivative of s*b + 0 - 1/21*b**3 - 1/42*b**4 - 1/210*b**5 - 4*b**2. Solve t(l) = 0 for l.
-1
Let v(u) = 125*u**4 - 475*u**3 + 630*u**2 - 225*u + 55. Let n(b) = -9*b**4 + 34*b**3 - 45*b**2 + 16*b - 4. Let i(f) = -55*n(f) - 4*v(f). Factor i(p).
-5*p*(p - 4)*(p - 1)**2
Suppose 3*q - 8 = -q. Let x(w) be the third derivative of 0*w + 1/12*w**4 + 2*w**q + 1/15*w**5 + 0 - 2/3*w**3 - 1/60*w**6. Factor x(a).
-2*(a - 2)*(a - 1)*(a + 1)
Let j be (1 + 1)*(-2)/(-14). Let 2/7*r**2 + j*r - 2/7*r**3 - 2/7 = 0. What is r?
-1, 1
Let y be (-2 + 0)/(-2) + 4. Suppose 16 = 3*x + 2*s, y*x + 5*s - 24 = 11. Factor 1/3 + 1/6*o**x - 1/2*o.
(o - 2)*(o - 1)/6
Let m(d) be the first derivative of -2/39*d**3 + 2/13*d**2 - 2/13*d**4 + 6/65*d**5 + 2 + 0*d. Determine u, given that m(u) = 0.
-2/3, 0, 1
Suppose 0 = p + 2*p - 9. Suppose p = 3*q - 2*q. Factor -3*s**q - 8*s**3 + 8*s**3.
-3*s**3
Let l = 9 - 6. Suppose 5*z + l*c - 12 = 0, 3*z + 4*c = 4 + 1. Factor -2/7*j**z - 8/7*j + 0 - 8/7*j**2.
-2*j*(j + 2)**2/7
Determine n so that 0*n**3 + 0*n - 1/2*n**4 + 1/2*n**2 + 0 = 0.
-1, 0, 1
Let b = 17 - 10. Suppose 4*z = b + 5. Find v, given that -v + 5*v + 0*v**3 - 3*v**z - v = 0.
-1, 0, 1
Let x = -1 + 13. Let v = -34/3 + x. Factor 2/3 - 2/3*q + 2/3*q**3 - v*q**2.
2*(q - 1)**2*(q + 1)/3
Suppose 86*m = 85*m + 4. Let w(r) be the first derivative of 0*r**5 + 0*r**3 - 1/2*r**6 - 3/2*r**2 + 0*r - 1 + 3/2*r**m. Factor w(c).
-3*c*(c - 1)**2*(c + 1)**2
Let f be (-1)/((-4)/(-8)) - -2. Let g(l) be the second derivative of -3/20*l**5 + 2/45*l**6 + 0*l**3 - 2*l + 1/18*l**4 + 0 + f*l**2. Factor g(h).
h**2*(h - 2)*(4*h - 1)/3
Suppose -1/3*w**5 - 3*w - 14/3*w**3 + 16/3*w**2 + 2*w**4 + 2/3 = 0. What is w?
1, 2
Let p be (-66)/12 - 2/(-4). Let o(z) = 33*z**3 + 25*z**2 - 13*z. Let x(h) = 50*h**3 + 38*h**2 - 20*h. Let q(n) = p*x(n) + 8*o(n). Let q(k) = 0. What is k?
-1, 0, 2/7
Find b such that -20/7*b - 2/7*b**2 - 50/7 = 0.
-5
Solve -14/15*m**2 - 2/15*m**3 + 2/5*m**4 + 8/15 + 0*m + 2/15*m**5 = 0.
-2, -1, 1
Factor 3*f**3 + 5 + f - 7*f**2 + 2 + 2*f**2 - 6.
(f - 1)**2*(3*f + 1)
Let i(u) be the second derivative of -u**4/4 - 2*u**3 - 6*u**2 + 7*u. Factor i(f).
-3*(f + 2)**2
Let w(c) be the second derivative of c**7/231 - 2*c**6/165 - c**5/55 + 2*c**4/33 + c**3/33 - 2*c**2/11 + 15*c. Find s, given that w(s) = 0.
-1, 1, 2
Let i(z) be the second derivative of z**4/4 - z**3 + 3*z**2/2 + 9*z. Factor i(v).
3*(v - 1)**2
Factor -2 + q**3 - q**2 - 66*q + 38*q - 3*q**2 + 33*q.
(q - 