5 - c**4/3 + c**3/3 - c. What is x in m(x) = 0?
-1, 0, 1
Suppose -3*v + 27 = 3*y, 0*y = 2*y + 3*v - 23. Suppose -2*j + j = -y. Factor 0*s**2 - 2/3*s + 1/3*s**j + 2/3*s**3 - 1/3.
(s - 1)*(s + 1)**3/3
Let t(j) be the third derivative of -1/18*j**4 + 0 + 0*j + 3*j**2 + 0*j**3 - 1/90*j**5. Let t(g) = 0. Calculate g.
-2, 0
Let r = 25 + -29. Let n be 2 - (-2 - r - 3). Suppose -2/5*s + 0 - 4/5*s**2 - 2/5*s**n = 0. Calculate s.
-1, 0
Let k(d) = 4*d**2 + 2*d + 2. Let t be k(-1). Let i be (-2)/20 - (-27)/45. Factor 1/4*s**t + 0*s**2 + 1/2*s**3 - i*s - 1/4.
(s - 1)*(s + 1)**3/4
Let f(l) be the second derivative of 0 + 3/20*l**5 - 3*l**2 + 0*l**4 - 3/2*l**3 - 2*l. Solve f(h) = 0 for h.
-1, 2
Suppose b - 6*b = -40. Let k = 4 + 6. Determine s, given that 5*s + 3*s + k*s**2 + 20*s**2 - b = 0.
-2/3, 2/5
Suppose 2*d + 1 = 9. What is r in -r**d - r**2 + 7*r**2 - 5*r**2 + 2*r - 2*r**3 = 0?
-2, -1, 0, 1
Let f(r) be the first derivative of 21*r**4/16 - 9*r**3/4 + 3*r**2/4 + 1. Solve f(q) = 0.
0, 2/7, 1
Suppose 106*h**2 - 98*h**2 + 0*h + 4*h + 4*h**3 = 0. Calculate h.
-1, 0
Let f(x) = -x**3 - 9*x**2 + 11*x + 4. Let h be f(-10). Let n be 2/h*(-33)/22. Find c, given that c - n*c**2 - 1/2 = 0.
1
Let s be 1*(0 + -1 - -21). Let t be (4/(-6))/(s/(-15)). Let t + 3/4*k**2 + 5/4*k = 0. Calculate k.
-1, -2/3
Let o(f) be the third derivative of -f**5/20 - f**4/4 - f**3/2 - 3*f**2. Factor o(g).
-3*(g + 1)**2
Let m(t) be the third derivative of -t**6/660 + 7*t**4/132 - 2*t**3/11 + 8*t**2. Let m(g) = 0. Calculate g.
-3, 1, 2
Let c(m) be the first derivative of -1/75*m**6 + 2*m - 1/30*m**4 + 1/25*m**5 + 0*m**2 + 0*m**3 - 3. Let q(l) be the first derivative of c(l). Solve q(x) = 0.
0, 1
Let q(r) = 3*r**2 + 88*r + 403. Let k(x) = -20*x**2 - 615*x - 2820. Let a(s) = 2*k(s) + 15*q(s). Factor a(d).
5*(d + 9)**2
Let b(j) be the third derivative of -j**7/3780 + j**6/540 - j**5/180 - j**4/24 - j**2. Let h(d) be the second derivative of b(d). Factor h(o).
-2*(o - 1)**2/3
Let m(w) be the second derivative of -3*w**8/1120 - w**7/140 - w**6/180 - 5*w**3/6 - 3*w. Let d(x) be the second derivative of m(x). Factor d(c).
-c**2*(3*c + 2)**2/2
Let i be (-4)/(-6)*((-6 - -2) + 7). Factor -9*t - 1/3*t**3 + 3*t**i + 9.
-(t - 3)**3/3
Let x be (-26)/39*(-1)/4. Let y(p) be the first derivative of -x*p**3 - 2 + 0*p**2 + 0*p. Let y(l) = 0. What is l?
0
Factor -8 - 2 + 2*g - g**2 + 8 + 1.
-(g - 1)**2
Let 0 + 8/7*l**4 - 2/7*l**3 - 6/7*l**5 + 0*l**2 + 0*l = 0. What is l?
0, 1/3, 1
Let w(t) = -7*t**2 + 77*t. Let z be w(11). Factor -4/7*k**2 - 2/7*k**3 + z - 2/7*k.
-2*k*(k + 1)**2/7
Let w(c) = 98*c**3 - 42*c**2 - 48*c + 1. Let s(y) be the second derivative of -49*y**5/20 + 7*y**4/4 + 4*y**3 + 3*y. Let g(r) = -9*s(r) - 4*w(r). Factor g(z).
(z - 1)*(7*z + 2)**2
Let d(h) be the first derivative of 1/12*h**3 - 1/24*h**4 + 3 - 1/40*h**5 + 3*h + 1/4*h**2. Let f(u) be the first derivative of d(u). Factor f(c).
-(c - 1)*(c + 1)**2/2
Find s, given that -8/3*s - 2/3*s**2 - 2 = 0.
-3, -1
Let i be (-13)/138 + 54/(-36). Let z = -6/23 - i. Factor 2/3*d**3 - 2/3*d - 4/3*d**2 + z.
2*(d - 2)*(d - 1)*(d + 1)/3
Let j be (4/(-3))/(6/18). Let a be (-3)/j*(-8)/(-9). Determine w so that 2*w**4 - 2/3 - 4/3*w**2 - 4/3*w**3 - a*w**5 + 2*w = 0.
-1, 1
Let a(r) = 12*r**4 + 3*r**3 - 5*r**2 + 4*r. Let v(j) = 6*j**4 + 2*j**3 - 2*j**2 + 2*j. Let q(h) = -4*a(h) + 7*v(h). Factor q(y).
-2*y*(y - 1)*(y + 1)*(3*y - 1)
Let g(w) = 9*w**4 + 7*w**3 + w**2 - 13*w - 1. Let b(l) = 53*l**4 + 43*l**3 + 5*l**2 - 77*l - 7. Let y(n) = -6*b(n) + 34*g(n). Find v, given that y(v) = 0.
-1, -2/3, 1
Let o(g) be the third derivative of -g**7/280 + g**6/30 - g**5/10 - 5*g**3/6 - g**2. Let h(w) be the first derivative of o(w). Let h(l) = 0. What is l?
0, 2
Factor -57624 + 84*i**3 - 3/2*i**4 - 1764*i**2 + 16464*i.
-3*(i - 14)**4/2
Let z be 2 + 0/(-1 + 3). Let h = 1 + z. Let 14*k**h - 48*k**4 + 18*k + 46*k**2 + 10*k**5 - 41*k**5 + 2 - k**5 = 0. What is k?
-1, -1/4, 1
Let i be (-6)/(12/(-10)) - 5. Let r(t) be the first derivative of 0*t**3 + 0*t + 1/21*t**6 - 1/14*t**4 + 0*t**2 + i*t**5 - 1. Let r(k) = 0. What is k?
-1, 0, 1
Let t = 11/4 - 65/12. Let n = 43/15 + t. Factor 1/5*u**4 - n*u**2 + 0*u + 1/5*u**3 - 1/5*u**5 + 0.
-u**2*(u - 1)**2*(u + 1)/5
Let i(o) = o**2 - o + 1. Let d(v) = 12*v**2 + 2*v - 18. Let q(n) = -2*d(n) + 28*i(n). Find f such that q(f) = 0.
4
Let b be 0/(-3 + (-5)/(-1)). Suppose 5*r - 6 - 4 = b. Determine k so that 0*k + 0 - 1/3*k**3 - 1/3*k**r = 0.
-1, 0
Suppose -2*a = -9 + 3. Let j be 68/(-18) + 3 + a. Factor 2/9*i**5 + 10/9*i + 20/9*i**2 + 10/9*i**4 + 2/9 + j*i**3.
2*(i + 1)**5/9
What is d in -3/5*d**3 + 0 + 0*d**2 + 1/5*d**4 + 4/5*d = 0?
-1, 0, 2
Let u(s) = -130*s**4 - 214*s**3 - 96*s**2 - 29*s. Let g(i) = -43*i**4 - 71*i**3 - 32*i**2 - 10*i. Let j(q) = 17*g(q) - 6*u(q). Factor j(k).
k*(k + 1)*(7*k + 2)**2
Suppose -5*s + u + 8 = 0, 0 = -2*s + u - 3 + 5. Factor 14 - x**3 - 2*x**s - 14 - x.
-x*(x + 1)**2
Let -5 - 30*i**2 + 25*i + 6*i**2 - 45*i**3 + 9*i**2 = 0. What is i?
-1, 1/3
Let t(s) be the third derivative of -s**6/120 + s**5/60 - 6*s**2. Factor t(l).
-l**2*(l - 1)
Suppose 4 = w + 2. Let -4*g**3 + g**2 + w*g**3 + 4*g + 2 + g = 0. Calculate g.
-1, -1/2, 2
Let p(b) = -b**5 - b**4 + b**3 - b - 1. Let i(a) = -30*a**5 - 20*a**4 + 40*a**3 - 5*a**2 - 35*a - 25. Let g(n) = i(n) - 25*p(n). Let g(f) = 0. What is f?
-1, 0, 1, 2
Let i(s) = s + 3. Let a be i(-6). Let b be a/((-30)/(-32)) - -4. Let -2/5*q**3 + 0*q**2 - 2/5*q**5 + 0 + 0*q - b*q**4 = 0. Calculate q.
-1, 0
Let z(n) = -2*n**3 - 12*n + 9*n**3 - 6*n**3 - 10*n**2 + 11. Let d be z(11). Factor 0*f**2 + d*f - 2/7*f**3 + 0.
-2*f**3/7
What is q in 1/2*q + 1/3 + 1/6*q**2 = 0?
-2, -1
Let f = -40 + 44. Let w(i) be the first derivative of 1/9*i**3 + 4/3*i - 2/3*i**2 - f. Let w(n) = 0. What is n?
2
Let y = 3 + -8. Let x(c) = 2*c**3 + 9*c**2 + 2*c. Let h(j) = -2*j**3 - 10*j**2 - 2*j. Let r(k) = y*h(k) - 6*x(k). Suppose r(u) = 0. Calculate u.
-1, 0
Suppose -c + 5 = -2. Let f = c - 7. Solve f*v**2 + 3 + 5*v + 3*v**2 + v = 0.
-1
Let f(a) be the first derivative of 2*a**2 + 2/3*a**3 - 6 + 0*a. Factor f(b).
2*b*(b + 2)
Let p(s) be the second derivative of s**6/10 - s**4 - 42*s. Find r such that p(r) = 0.
-2, 0, 2
Let l(w) be the third derivative of w**5/15 + 5*w**4/6 + 8*w**3/3 - 23*w**2. Determine n, given that l(n) = 0.
-4, -1
Let y(p) = -25*p**2 - 10*p - 1. Let s(f) = -50*f**2 - 20*f - 2. Let d = 1 + -8. Let l(x) = d*y(x) + 4*s(x). Suppose l(g) = 0. What is g?
-1/5
Let q(l) be the second derivative of l**6/10 + 3*l**5/4 + 2*l**4 + 2*l**3 - 2*l. Solve q(r) = 0 for r.
-2, -1, 0
Let r = 498/365 + -12/73. Solve r*a + 2/5*a**2 + 4/5 = 0 for a.
-2, -1
Let i(p) be the second derivative of -p**5/90 + p**3/27 - 15*p. Solve i(j) = 0 for j.
-1, 0, 1
Let n(j) be the second derivative of -1/30*j**3 + 0 + 1/75*j**6 + 4*j + 1/5*j**2 + 1/50*j**5 - 1/210*j**7 - 1/15*j**4. Suppose n(y) = 0. Calculate y.
-1, 1, 2
Let n(z) be the second derivative of -z**4/20 + z**3/10 + 3*z**2/5 + 3*z. Factor n(a).
-3*(a - 2)*(a + 1)/5
Suppose -25 + 21 = -2*g. Let z(d) be the second derivative of d**3 + g*d**2 + d - 1/10*d**5 + 0 + 0*d**4. Factor z(y).
-2*(y - 2)*(y + 1)**2
Let r(y) be the first derivative of -y + y**2 - 7/6*y**3 - 2 - 3/4*y**4. Let p(z) be the first derivative of r(z). Let p(n) = 0. Calculate n.
-1, 2/9
Let g be (7/(-4))/((-4)/16). Suppose -5*c + 8 + g = 0. Solve -9*n**3 - 5*n**5 - c*n**4 - n**2 + 6*n**3 + 4*n**5 = 0 for n.
-1, 0
Let z(r) be the second derivative of r**5/30 - r**4/4 + 2*r**3/3 - 2*r**2/3 + r. Factor z(v).
(v - 2)**2*(2*v - 1)/3
Suppose -4*c - 1 = -y + 17, -2*c = 3*y + 2. Factor 0 + 1/5*h**3 + 0*h - 1/5*h**5 - 1/5*h**y + 1/5*h**4.
-h**2*(h - 1)**2*(h + 1)/5
Let v(g) = g**2 - 15*g + 17. Let m be v(14). Factor -59*a**2 + 2*a**4 + 59*a**2 - 4*a**3 + 6*a**5 + 0*a**m.
2*a**3*(a + 1)*(3*a - 2)
Let k(o) = 9*o**2 + o + 8. Let g(x) = x**2 - x. Let i(u) = -14*g(u) + 2*k(u). Factor i(n).
4*(n + 2)**2
Let v = -99/2 + 51. What is i in 0*i + v*i**2 + 3/4*i**3 + 0 = 0?
-2, 0
Let b(i) be the first derivative of i**3 - 9*i**2/2 - 10. What is h in b(h) = 0?
0, 3
Let k = -2 + 6. Let h = k - 1. Factor -2*p**h + p**2 - 5*p**2 - p + 4*p**4 + 3*p.
2*p*(p - 1)*(p + 1)*(2*p - 1)
Let l(a) be the first derivative of -a**5/20 + a**4/16 +