*j + 4. Let k be z(9). Factor 9*y**2 + 2/3 - 13/3*y + 7/3*y**k - 23/3*y**3.
(y - 1)**3*(7*y - 2)/3
Let z(u) = u**5 - u**4 - u**2 + 1. Let d(p) = -p**5 + 7*p**4 - p**2 - 2*p - 3. Let l(y) = d(y) + 3*z(y). Factor l(i).
2*i*(i - 1)*(i + 1)**3
Let s(i) be the second derivative of 0*i**3 - 5*i + 1/42*i**7 + 1/12*i**4 + 0*i**2 + 0 + 1/10*i**6 + 3/20*i**5. Let s(q) = 0. What is q?
-1, 0
Let g be -1 + 4 - 5 - -5. Solve 1/3*y + 0 + 1/3*y**g + 2/3*y**2 = 0 for y.
-1, 0
Suppose 0 = -j - 0 - 1. Let c be ((-3)/j)/(-1) - -8. Solve -f**c + 11*f**3 - 2*f**2 + 2*f**4 - 4*f**5 - 6*f**3 = 0 for f.
-1, 0, 2/5, 1
Let x be (-33)/(-6) + 0 + -2. Let y(w) be the first derivative of -4/3*w**3 + 0*w - w**2 + 1 + x*w**4 - 8/5*w**5. Factor y(h).
-2*h*(h - 1)**2*(4*h + 1)
Let g be (-4)/(-22) - 70/22. Let h be ((-30)/(-25))/(g/(-2)). Let -16/5*t**2 + 14/5*t**4 + 2/5 + 4/5*t - 8/5*t**5 + h*t**3 = 0. What is t?
-1, -1/4, 1
Let x be 1 - 17*2/(-2). Suppose z + 5*k = -x, 3*z = -k - 3*k - 10. Factor 1/4*v**z - 1/2*v + 0.
v*(v - 2)/4
Suppose -17*z + 20*z = 12. Factor 0 + 0*a - 2/3*a**z + 0*a**2 - 2/3*a**3.
-2*a**3*(a + 1)/3
Suppose 3*m - 12 + 0 = 0. Let g(d) be the third derivative of 0*d + 1/150*d**5 + 2*d**2 + 0 + 1/15*d**3 - 1/30*d**m. Solve g(y) = 0.
1
Let x(l) be the third derivative of 7*l**5/135 - 5*l**4/54 - 4*l**3/27 + 12*l**2. Factor x(a).
4*(a - 1)*(7*a + 2)/9
Let s(u) be the first derivative of u**3 - 24*u**2 + 192*u + 33. Suppose s(y) = 0. Calculate y.
8
Let k(u) = 3*u**3 - 3*u**2 + 4*u - 4. Let w(h) = -4*h**3 + 4*h**2 - 4*h + 4. Let d(t) = -5*k(t) - 4*w(t). Factor d(g).
(g - 2)*(g - 1)*(g + 2)
Let p(x) be the second derivative of -x**4/84 + x**3/21 - 34*x. Factor p(w).
-w*(w - 2)/7
Let n be (-291)/84 + (-2)/7. Let m = -41/12 - n. Solve 0*l**4 + 0*l**2 - 1/3*l + 2/3*l**3 - m*l**5 + 0 = 0.
-1, 0, 1
Suppose 0 = 2*u + c - 4 - 0, 3*u + 3*c - 6 = 0. Let o(w) be the second derivative of 1/12*w**4 - 1/2*w**2 + 0 - u*w + 0*w**3. Solve o(l) = 0.
-1, 1
Suppose -2*z = -4*z + 8. Factor 0*r**5 + 2*r**5 - 2*r**2 - 2*r**3 + 2*r**3 + 6*r**3 - 6*r**z.
2*r**2*(r - 1)**3
Let v = -116 - -116. Solve 0*s**2 - 2/7*s**5 + 2/7*s**3 + 0*s**4 + 0 + v*s = 0.
-1, 0, 1
Let w(u) be the second derivative of 0*u**3 - 3*u + 2/15*u**6 + 0 + 0*u**2 + 0*u**4 + 2/5*u**5. Factor w(q).
4*q**3*(q + 2)
Let q = -242 + 2180/9. Let h(p) be the first derivative of 2/3*p**2 - q*p**3 - 2/3*p + 2. Solve h(j) = 0.
1
Let 8/13*t + 2/13 + 6/13*t**2 = 0. What is t?
-1, -1/3
Factor 15*d + 4*d**2 - 2*d - 5*d.
4*d*(d + 2)
Let n be ((-2)/4 + 1)/(27/270). Let x(a) be the first derivative of -3 + 0*a - 2/3*a**3 + 0*a**4 + 0*a**2 + 2/5*a**n. Let x(l) = 0. Calculate l.
-1, 0, 1
Let g(d) be the second derivative of -d**7/336 - d**6/90 - d**5/240 + d**4/24 - d**3/2 + d. Let w(z) be the second derivative of g(z). Solve w(q) = 0 for q.
-1, 2/5
Let c(k) be the second derivative of -3*k**5/50 - k**4/10 - k**3/15 + 2*k**2 - 3*k. Let p(z) be the first derivative of c(z). Let p(b) = 0. What is b?
-1/3
Let t = -6 - -8. Suppose 0 = -s + 3*s. Factor s*x**t - 5*x + 0*x + 4*x**2 + 1.
(x - 1)*(4*x - 1)
Let i(t) be the first derivative of 0*t - 7 - 1/5*t**3 + 3/10*t**2. Factor i(m).
-3*m*(m - 1)/5
Solve 2*r**4 + 4*r**4 - 96*r - 36*r**3 - 52*r**2 + 3*r**5 - 68*r**2 = 0 for r.
-2, 0, 4
Factor -8*k**4 - 8/3*k**2 + 44/3*k**3 + 32/3 + 4/3*k**5 - 16*k.
4*(k - 2)**3*(k - 1)*(k + 1)/3
Let z(t) = -t**3 - 10*t**2 - 11*t - 18. Let l be z(-9). Factor l*d + 2/13*d**3 - 2/13*d**2 + 4/13*d**4 + 0.
2*d**2*(d + 1)*(2*d - 1)/13
Let n(l) be the first derivative of l**6/39 + 2*l**5/65 - 5*l**4/26 - 2*l**3/39 + 8*l**2/13 - 8*l/13 - 8. Factor n(y).
2*(y - 1)**3*(y + 2)**2/13
Let k(h) be the first derivative of -h**7/630 - h**6/180 - h**5/180 - 3*h**2/2 + 2. Let i(q) be the second derivative of k(q). Suppose i(t) = 0. Calculate t.
-1, 0
Let p(h) be the third derivative of -8*h**7/105 + h**6/6 + 7*h**5/15 - h**4/3 - 2*h**2. Determine u so that p(u) = 0.
-1, 0, 1/4, 2
Let i(r) be the first derivative of -r + 0*r**2 - 1 + 1/3*r**3. Find b such that i(b) = 0.
-1, 1
Let q(x) = x**2 - 4*x. Let u be q(6). Suppose 0 = 3*v - 0*v - u. Let -v*r**2 - r + r**2 + 2*r**2 = 0. What is r?
-1, 0
Let s = 64 + -39. Suppose -4*x + 3*u + s = 2*u, -x = 4*u + 15. Determine g so that 4/9*g**3 - 2/9*g**x - 2/9*g**4 - 2/9 - 2/9*g + 4/9*g**2 = 0.
-1, 1
Let j(a) = -2*a - 4. Let w be j(-3). Let c = 47 - 44. Let 0*s**w + 1 + 3/2*s - 1/2*s**c = 0. What is s?
-1, 2
Let 2*m**3 + m**4 + 6*m**4 + m**2 - 6*m**4 = 0. What is m?
-1, 0
Determine n so that -4/5*n**3 + 0 + 0*n - 1/5*n**2 = 0.
-1/4, 0
Let h(i) = -15*i**2 - 24*i - 9. Let n(c) = -3*c**2 - 5*c - 2. Let u be (36/5)/((-33)/110). Let g(s) = u*n(s) + 5*h(s). Factor g(p).
-3*(p - 1)*(p + 1)
Suppose -13 + 49 = 3*q. Suppose 0*b + q = 3*b. Determine v, given that -6 - 12*v**3 + 9*v - 6*v**2 + b*v**5 + 12 - v**5 = 0.
-1, 1, 2
Let v(z) = z**2 + 5*z + 4. Let r be v(-9). Let l be 23/15 + (-8)/r. Factor -8/3*s + 8*s**3 - l*s**2 + 2/3 + 6*s**4.
2*(s + 1)**2*(3*s - 1)**2/3
Suppose -3*x = -3*z - 9, 2*z = 3*x - 11 + 2. Suppose -g + 3*g - 6 = z. What is w in 0*w + 1/3*w**5 + 1/3*w**g + 0*w**2 + 0 - 2/3*w**4 = 0?
0, 1
Let l be -3 + (4 + -3)*3. Suppose l = -5*n + 3*t - 2, 0*n = -2*n + t. Suppose -2/3*y - 4/3*y**n - 2/3*y**3 + 0 = 0. Calculate y.
-1, 0
Suppose 2*j = -3 + 13. Let w(v) be the first derivative of 1/15*v**j - 1/9*v**3 + 0*v - 2 + 1/6*v**2 - 1/12*v**4. Factor w(c).
c*(c - 1)**2*(c + 1)/3
Let b(t) = t + 11. Let l be b(-8). Suppose 0*s**2 + 3*s**3 - 5*s**l - 2*s**2 = 0. Calculate s.
-1, 0
Let d(v) = -v**2 + 8*v - 3. Let r be d(6). Factor -2*i - 3*i**2 - r*i**3 + 0*i + 12*i**3 + 7*i**4 + 3*i**5.
i*(i + 1)**3*(3*i - 2)
Let b = 10/19 - 12/95. Find n such that -32/5 - b*n**2 + 16/5*n = 0.
4
Let -4/5*z**2 + 6/5*z**4 + 0 + 2/5*z**3 + 0*z = 0. What is z?
-1, 0, 2/3
Let v = -17 + 19. Let i be 10/8 - (-2)/(-2). Factor -1/2*b - i + 3/4*b**v.
(b - 1)*(3*b + 1)/4
Factor 0*r**4 + 2/5*r**5 - 4/5*r**3 + 2/5*r + 0*r**2 + 0.
2*r*(r - 1)**2*(r + 1)**2/5
Factor 0 + 1/6*p**2 + 0*p.
p**2/6
Suppose 0 = -2*v + 2*u + 2*u + 12, 0 = 2*v - u - 3. Let v + 0*g + 3/5*g**2 = 0. What is g?
0
Determine x, given that -10 + 4 + 112*x**2 - 139*x**2 - 3*x**4 - 21*x - 15*x**3 = 0.
-2, -1
Let x = 495/2 + -247. Solve -1/4*h**4 + 1/2*h**3 - x*h + 1/4*h**2 + 0 = 0 for h.
-1, 0, 1, 2
Factor 16/3 - 8/3*x + 1/3*x**2.
(x - 4)**2/3
Let p(y) be the first derivative of y**6/6 - 7*y**5/20 - 3*y**4/8 + 7*y**3/12 + y**2/4 - 45. What is j in p(j) = 0?
-1, -1/4, 0, 1, 2
Suppose 0 = -3*r + 5*r + 8. Let o be (-1 + -1)/(r/4). Determine z so that -1 + 5/4*z**2 + o*z = 0.
-2, 2/5
Let y(v) = -4*v**5 + v**3 + v**2 - 3*v - 1. Let m(j) = 3*j**5 - 2*j**3 + 3*j. Let d(c) = -3*m(c) - 2*y(c). Determine s, given that d(s) = 0.
-2, -1, 1
Let x(l) be the first derivative of -4/3*l**2 + 3 - 2/3*l**4 + 2/15*l**5 + 2/3*l + 4/3*l**3. Factor x(o).
2*(o - 1)**4/3
Suppose 9 + 6 = 3*n. Let p = 5/36 + 1/9. Factor p*q**2 + 0*q - 1/4*q**n + 1/4*q**3 + 0 - 1/4*q**4.
-q**2*(q - 1)*(q + 1)**2/4
Let z(u) be the third derivative of -u**8/336 + u**7/70 - u**6/120 - u**5/20 + u**4/12 + 16*u**2. Solve z(y) = 0 for y.
-1, 0, 1, 2
Suppose z + 2*z = 9. Factor -18*c**2 + 0*c**z - 3*c - c**3 + 14*c**2.
-c*(c + 1)*(c + 3)
Factor 4/5*p**3 - 32/15 - 16/5*p - 2/15*p**2 - 2/15*p**4.
-2*(p - 4)**2*(p + 1)**2/15
Let t(p) be the second derivative of -p**4/18 + 2*p**3/9 - 8*p. Factor t(s).
-2*s*(s - 2)/3
Let z(m) be the second derivative of m**7/7560 - m**6/1080 + m**5/360 + m**4/12 + 5*m. Let x(r) be the third derivative of z(r). Factor x(q).
(q - 1)**2/3
Let s = -61 + 61. Let g(j) be the first derivative of -1/20*j**5 + 1/12*j**3 + s*j + 3 + 1/8*j**2 - 1/16*j**4. Factor g(c).
-c*(c - 1)*(c + 1)**2/4
Let j = -5 + 3. Let d = 0 - j. Factor 0*b - d*b**2 + b + 3*b.
-2*b*(b - 2)
Let y(c) = 39*c**3 - 3*c**2 - 3*c - 1. Let u(i) = -5*i**3. Let z(k) = 40*u(k) + 5*y(k). Factor z(l).
-5*(l + 1)**3
Suppose -6*z = -5*z - 4. Suppose 2*v + v + 3*t = 0, 4*v + 2*t - z = 0. What is n in 2/3*n**3 + 0 - 2/3*n - 2*n**v + 2*n**4 = 0?
-1, -1/3, 0, 1
Let q(g) be the third derivative of g**6/60 - g**4/12 - 4*g**2. What is p in q(p) = 0?
-1, 0, 1
Let w = 15 - 15. Factor -9*n - 6 - n + w - 2*n**2 + 2*n.
-2*(n + 1)*(n + 3)
Suppose 20*w - 5 = 19*w. Solve -3/2*x**w + 1/2*x**3 + x*