+ h**3 = 0.
-1, 0
Let y(s) be the first derivative of -7/3*s**3 + 0*s - 1/2*s**4 - 1 + s**2 + 7/5*s**5. Solve y(o) = 0 for o.
-1, 0, 2/7, 1
Suppose 12 = 5*g - 3. Suppose 15/4*s + g*s**2 + 3/4*s**3 + 3/2 = 0. What is s?
-2, -1
Factor 0 + 1/3*j - 2/3*j**3 + 1/3*j**2.
-j*(j - 1)*(2*j + 1)/3
Suppose 0*r - 5*r + 21 = 2*y, 3*y + 3 = 4*r. Let -2*o**4 + 2*o**r + 0*o**3 - 2*o**3 + 2*o**3 = 0. Calculate o.
0, 1
Let l(s) be the second derivative of 1/2*s**4 - s**3 + s**2 + s + 0 - 1/10*s**5. Solve l(n) = 0.
1
Let v(g) be the first derivative of g**3/2 - 3*g**2/4 + 3. What is l in v(l) = 0?
0, 1
Let k(u) be the first derivative of u**5 + 11*u**4/2 + 47*u**3/5 + 22*u**2/5 + 4*u/5 + 8. Factor k(f).
(f + 2)**2*(5*f + 1)**2/5
Let m(y) = y**3 + 4*y**2 - y + 2. Let z be m(-4). Let q be ((-1)/z)/((-2)/8). Factor -4/3*n - 2/3*n**2 + q*n**3 + 0.
2*n*(n - 2)*(n + 1)/3
Let v be (-12)/(-20) - (-3)/(-5). Let l = v - -2. Suppose -10/3*x**l - 4/3 - 14/3*x = 0. What is x?
-1, -2/5
Let q(k) be the second derivative of -k**7/14 + 2*k**6/15 + 2*k**5/5 - k**4/2 - 5*k**3/6 + k**2 - 25*k. Determine y so that q(y) = 0.
-1, 1/3, 1, 2
Suppose 0 = -4*g + b + 7, 2*b = 4*b - 10. Suppose 0*x - 5 = -5*x + 5*k, g*x + 3*k = 9. Suppose -2/7*u - 2/7*u**x + 4/7 = 0. Calculate u.
-2, 1
Let q be 83/(-2)*(-4)/(-10). Let d = q - -17. Factor 0*m**3 - 2/5*m**5 + 4/5*m**2 + d*m - 4/5*m**4 + 0.
-2*m*(m - 1)*(m + 1)**3/5
Let f(j) be the second derivative of 0 + 2/3*j**2 - 1/18*j**4 + 1/9*j**3 + j. Determine d so that f(d) = 0.
-1, 2
Let a(b) = b**3 - 3*b**2 - 6*b + 2. Let r be a(4). Let f(m) = -m**3 - 5*m**2 + 5*m - 3. Let v be f(r). Factor 0*i**v + 3/5*i**2 + 0 + 0*i - 3/5*i**4.
-3*i**2*(i - 1)*(i + 1)/5
Let r = -2 - -1. Let t = 3 + r. Find s such that 2*s**3 + 7*s**t + 0*s**3 + 2*s - 3*s**2 = 0.
-1, 0
Let n(g) be the third derivative of -g**6/60 - 11*g**5/90 - g**4/3 - 4*g**3/9 - 55*g**2. Factor n(d).
-2*(d + 1)*(d + 2)*(3*d + 2)/3
Let t(a) be the second derivative of a**6/240 - a**4/32 + a**3/24 + 7*a. Let t(k) = 0. Calculate k.
-2, 0, 1
Let y(n) be the third derivative of 0*n**5 + 1/540*n**6 + 1/1512*n**8 + 0*n**3 + 0*n - 2/945*n**7 + 0*n**4 + 0 + n**2. Factor y(h).
2*h**3*(h - 1)**2/9
Let n(g) be the third derivative of 2/9*g**3 - g**2 + 0 + 0*g + 1/180*g**5 + 1/18*g**4. What is r in n(r) = 0?
-2
Let c(v) be the second derivative of -2*v**5/15 - v**4/2 - 3*v**3/4 - 5*v**2/2 + 3*v. Let w(s) be the first derivative of c(s). Factor w(r).
-(4*r + 3)**2/2
Let l(j) be the first derivative of 1/14*j**4 + 2/35*j**5 - 4/21*j**3 + 0*j**2 + 0*j + 1. Solve l(x) = 0 for x.
-2, 0, 1
Let w = -37 + 40. Let q(m) be the third derivative of -1/3*m**4 + 0 + 0*m + 3*m**2 + 1/12*m**5 - 1/120*m**6 + 2/3*m**w. Let q(f) = 0. What is f?
1, 2
Suppose 19 = 2*o + 7. Suppose -2 + 0 = -n - 5*k, -4*k = 3*n - o. Let 2 - 2*x - 5/2*x**3 - 13/2*x**n = 0. Calculate x.
-2, -1, 2/5
Let h = 4 + -1. Let u(q) be the first derivative of 1/16*q**4 + 1/3*q**3 + 0*q + h + 1/2*q**2. Factor u(f).
f*(f + 2)**2/4
Let l(c) be the third derivative of -2*c**2 + 0 + 1/40*c**6 + 0*c**4 + 0*c + 0*c**3 - 1/10*c**5. Factor l(r).
3*r**2*(r - 2)
Find q, given that -5*q**5 + 6*q**2 - 6*q**3 + 6*q**2 - 9*q**3 - 17*q**2 - 15*q**4 = 0.
-1, 0
Let g be 1/(-4) + (-21)/44. Let t = 1/44 - g. Factor 1/4*i**3 + t*i + 3/4*i**2 + 1/4.
(i + 1)**3/4
Let z = -7 - -10. Suppose 2*d - 4*q + 3*q + 1 = 0, 10 = 2*q. Suppose -4*f + 6*f**2 + f**3 + f**z + d + 10*f = 0. What is f?
-1
Suppose -6 = -4*j + 58. Factor -8*c + 1 - j*c**2 + 12*c**2 - c**3 - 3 + 3*c.
-(c + 1)**2*(c + 2)
Let t(u) be the first derivative of -u**4/48 - u**3/12 - 2*u - 9. Let c(f) be the first derivative of t(f). Find n, given that c(n) = 0.
-2, 0
Find p such that -132 - 21*p**3 + 12*p + 132 + 36*p**2 = 0.
-2/7, 0, 2
Let i(d) be the second derivative of d**5/5 - d**4/2 + d**3/3 + 7*d. Factor i(z).
2*z*(z - 1)*(2*z - 1)
Let s(a) be the second derivative of -3*a**5/20 + 3*a**3/2 + 3*a**2 + 27*a. Factor s(l).
-3*(l - 2)*(l + 1)**2
Let d(q) be the second derivative of q**5/60 - q**4/36 - q**3/9 - q + 14. Determine g, given that d(g) = 0.
-1, 0, 2
Let c(o) be the first derivative of -o**3/7 - 3*o**2/7 - 3*o/7 + 13. What is p in c(p) = 0?
-1
Let i(r) = r**3 - 6*r**2 + r - 4. Let a be i(6). Let b(x) be the first derivative of 1/10*x**4 - 2/5*x**3 + 3/5*x**a + 1 - 2/5*x. Factor b(w).
2*(w - 1)**3/5
Let g(s) be the second derivative of s**4/8 - s**3/2 + 3*s**2/4 + 6*s. Find f such that g(f) = 0.
1
Let -5 + 4*s**2 - 8*s + 0*s**2 - 2*s - 9*s**2 = 0. Calculate s.
-1
Let t(o) be the first derivative of 0*o + 3/5*o**3 + 3/5*o**2 + 3/20*o**4 + 5. Solve t(j) = 0 for j.
-2, -1, 0
Let h be (-2)/15 - 188/(-60). Let n(w) be the third derivative of 0 - 1/3*w**h + w**2 - 1/24*w**4 + 0*w + 3/10*w**6 + 9/20*w**5. Factor n(i).
(3*i + 1)*(3*i + 2)*(4*i - 1)
Let c(z) be the first derivative of -z**5/240 - z**4/96 + z**2/2 + 2. Let m(g) be the second derivative of c(g). Solve m(v) = 0.
-1, 0
Let d(u) be the first derivative of u**5/25 - u**4/10 - u**3/5 + 2*u**2/5 + 4*u/5 - 3. Factor d(o).
(o - 2)**2*(o + 1)**2/5
Let i(r) = 3*r**5 + 4*r**4 - 6*r**2 + r + 6. Let x(q) = 2*q**5 + 3*q**4 + q**3 - 5*q**2 + 5. Let s(j) = 3*i(j) - 4*x(j). Factor s(f).
(f - 1)**3*(f + 1)*(f + 2)
Suppose -1913 = -4*u - 5*j, -4*j - 5 = -5*j. Let f = 2369/5 - u. Factor f*s**2 + 3/5 - 9/5*s - 3/5*s**3.
-3*(s - 1)**3/5
Let h be (-4)/(-2) - 10280/(-715). Let g = 220/13 - h. Factor 0*q**2 - 2/11*q**3 + g*q - 4/11.
-2*(q - 1)**2*(q + 2)/11
Let v be 7/84*(3 - 0). Let -1/2 - v*y**2 - 3/4*y = 0. What is y?
-2, -1
Solve 253*y**3 + 5*y**4 - 228*y**3 - 25*y**4 - 10*y**2 + 5*y**5 = 0 for y.
0, 1, 2
Let r(a) = 5*a**2 + 5*a + 7. Let d(g) = -3*g**2 - 3*g - 4. Let c(n) = 11*d(n) + 6*r(n). Let w(h) = 5*h**2 + 6*h + 3. Let l(j) = -7*c(j) - 4*w(j). Factor l(y).
(y - 2)*(y - 1)
Let u(k) be the third derivative of -3*k**2 + 1/300*k**5 + 0*k + 0*k**4 + 0 + 0*k**3. Factor u(s).
s**2/5
Let g(u) = -5*u - 1. Let n be g(2). Let w be 4/6 + n + 11. Determine s so that 0 + 2/3*s**2 + w*s**5 - 2/3*s**4 + 0*s - 2/3*s**3 = 0.
-1, 0, 1
Suppose -3*k + 5 + 1 = 0. Let -18/5*v**5 + 28/5*v**3 - 4/5 - k*v - 12/5*v**4 + 16/5*v**2 = 0. What is v?
-1, -1/3, 2/3, 1
Let y be ((-5)/(-4))/((-2)/8). Let o = 0 - y. Factor 5 - 7 + 0*l**3 - o*l + l**3 + l**4 - 3*l**2.
(l - 2)*(l + 1)**3
Suppose 15 + 4 = 4*k - c, 0 = 2*k - c - 11. Suppose -5*z - 1 - 5*z**2 - 5*z**k - 5*z**2 - z**5 - 10*z**3 + 2*z**4 - 2*z**4 = 0. Calculate z.
-1
Suppose 6*u - 8*u + 4 = 0. Let w = -8 + 13. Factor -u - g + 2*g**3 - 2*g**w - 2*g**5 + 3*g**5 + g**4 - 2*g**2 + 3.
-(g - 1)**3*(g + 1)**2
Let g(y) be the first derivative of -2*y**5/75 - y**4/30 + 2*y**3/15 + y**2/15 - 4*y/15 + 2. Solve g(f) = 0 for f.
-2, -1, 1
Determine c, given that -2/7*c**4 - 2/7*c**3 + 4/7 + 10/7*c + 6/7*c**2 = 0.
-1, 2
Factor -2/7*t**4 - 24/7*t + 2/7*t**3 + 0 + 16/7*t**2.
-2*t*(t - 2)**2*(t + 3)/7
Suppose -1 = -d + 1. Let b(v) = d*v**2 - 3*v**2 + 4*v - 7*v**2. Let o(a) = -7*a**2 + 3*a. Let t(q) = 5*b(q) - 6*o(q). Find y such that t(y) = 0.
-1, 0
Factor 0*l**2 + 0*l + 0*l**3 - 4/5*l**4 + 0.
-4*l**4/5
Let r be 0 - (5 + 0) - (-84)/15. Let -r*s + 6/5 - 3/5*s**2 = 0. What is s?
-2, 1
Let r(y) be the second derivative of -y**5/70 - y**4/21 + 2*y. Factor r(j).
-2*j**2*(j + 2)/7
Let i(j) be the second derivative of j - 1/15*j**6 + 1/21*j**7 - 1/10*j**5 + 1/6*j**4 + 0*j**2 + 0 + 0*j**3. Let i(b) = 0. What is b?
-1, 0, 1
Suppose 5*g = 27 - 7, -n = 3*g - 14. What is u in 5 - 2 - 5 - 2 + n*u + 2*u**2 = 0?
-2, 1
What is l in 6402*l**2 - 6378*l**2 - 32*l**3 + 3*l**4 + 160*l + 100 + l**4 = 0?
-1, 5
Let s(t) be the second derivative of 1/5*t**2 - 7/30*t**4 + 0 - 4*t + 2/15*t**3 + 2/25*t**5. Suppose s(a) = 0. Calculate a.
-1/4, 1
Let y(c) be the third derivative of -c**7/525 - c**6/300 + c**5/50 + c**4/60 - 2*c**3/15 + 5*c**2. Let y(k) = 0. What is k?
-2, -1, 1
Factor 6 - 3*c**5 + 6*c**5 - 30*c**3 + 18*c**3 + 9*c - 6*c**2.
3*(c - 2)*(c - 1)*(c + 1)**3
Let x = -2593/4 - -649. Suppose 1/2 + 9/2*j**4 - 15/2*j**3 + 27/4*j**5 + x*j - 5*j**2 = 0. Calculate j.
-1, -2/3, -1/3, 1/3, 1
Let i(q) = -4*q**5 + 2*q**4 + 6*q**3 - 2*q**2 + 2*q - 2. Let o(m) = -12*m**5 + 6*m**4 + 18*m**3 - 7*m**2 + 7*m - 7. Let v(c) = -14*i(c) + 4*o(c). Factor v(a).
4*a**3*(a + 1)*(2*a - 3)
Let j(z) = -z**3 +