r = 43/6 - 13/2. Solve 0 + 1/3*g**5 - r*g**2 + 2/3*g**4 + 0*g**3 - 1/3*g = 0.
-1, 0, 1
Let m(r) be the third derivative of r**5/20 - r**4/4 + 5*r**2. Find p such that m(p) = 0.
0, 2
Let n be 0 + -12*(-2 + 1). Suppose 0*z - z = 5*p - n, -2*z = -3*p + 2. Suppose -2 + 6 - 2*r**z - 2 = 0. What is r?
-1, 1
Let z(a) be the first derivative of 25*a**9/1512 + 13*a**8/336 + a**7/30 + a**6/90 + a**3/3 - 3. Let p(t) be the third derivative of z(t). Solve p(d) = 0 for d.
-1/2, -2/5, 0
Let -6/11 + 12/11*s**3 - 14/11*s + 2/11*s**5 - 4/11*s**2 + 10/11*s**4 = 0. What is s?
-3, -1, 1
Determine g so that 164*g**2 - 42*g**3 + 99 - 354*g - 86*g + 26*g**3 + 1 = 0.
1/4, 5
Let q be (-4)/18*(-6)/4. Let y = 105 + -314/3. Factor q*x - y*x**2 + 0.
-x*(x - 1)/3
Let k(z) be the first derivative of 5*z**4/4 + 5*z**3/3 + 8. Let k(h) = 0. Calculate h.
-1, 0
Suppose -j + 26 = 3*r, -5*j + 120 = -0*r + 5*r. Suppose -f = -3*f + 6. Factor -17*x**3 - j*x**3 + 8*x**f + 48*x**2 - 18*x + 1 + 1.
-2*(x - 1)*(4*x - 1)**2
Let c be (-2)/(-5) - (-115)/25. Factor -1/6*g**c - 1/3*g**4 + 0*g**2 + 0*g**3 + 0 + 0*g.
-g**4*(g + 2)/6
Factor 0*h**2 + 0 - 1/2*h**3 + 1/2*h.
-h*(h - 1)*(h + 1)/2
Factor 1/3*i - 1/3*i**2 + 1/3 - 1/3*i**3.
-(i - 1)*(i + 1)**2/3
Let v(d) be the third derivative of d**6/100 + 4*d**5/75 + d**4/15 + 24*d**2. Let v(n) = 0. Calculate n.
-2, -2/3, 0
Let q(c) be the third derivative of -c**8/336 - c**7/105 + c**5/30 + c**4/24 - 36*c**2. What is x in q(x) = 0?
-1, 0, 1
Suppose -5*d - 41 = -5*c + 2*c, -2*c + 4*d = -28. Let p = c - 10. Factor g + 0 + 1/2*g**p.
g*(g + 2)/2
Factor 0 - 2/5*l**2 + 6/5*l.
-2*l*(l - 3)/5
Factor -2/15 - 2/15*i**2 + 4/15*i.
-2*(i - 1)**2/15
Let p(o) = -7*o**3 + 9*o**2 - 5*o + 7. Let x(z) = 9 - 14*z + 18*z**2 + 4*z**3 - 19*z**3 + 5*z + 6. Let f(q) = -9*p(q) + 4*x(q). Factor f(m).
3*(m - 1)**3
Let z(b) = b**2 + 2*b. Suppose 2*c = 4*u + 14, -4*c - u - u = 22. Let x be z(c). Determine k, given that 2*k**2 - k - 3*k**4 + k**x + 2*k**4 - k**2 + 0*k = 0.
-1, 0, 1
Let k(a) be the first derivative of 2*a**3/39 + 2*a**2/13 + 2*a/13 - 7. Factor k(j).
2*(j + 1)**2/13
Let j be (-2)/((-60)/18*1). Factor 3/5*d**5 + 0*d**2 + 0*d**4 + 0 + j*d - 6/5*d**3.
3*d*(d - 1)**2*(d + 1)**2/5
Suppose -3*v + 1 = -d, -5*v + 1 = 18*d - 20*d. Factor 2/13*w**4 + 2/13*w**3 + 0 + 0*w - 2/13*w**d - 2/13*w**5.
-2*w**2*(w - 1)**2*(w + 1)/13
Let o be 2/(-9) + 26/36. Let n(q) = -q**3 + 8*q**2 + 9*q + 3. Let i be n(9). Find h, given that -2*h**2 - 1/4*h - 5/4*h**i + o = 0.
-1, 2/5
Let k(h) be the first derivative of -1/3*h**3 - 1/2*h**2 - 4 + h + 1/4*h**4. Factor k(q).
(q - 1)**2*(q + 1)
Let t(n) be the first derivative of -n**6/360 + n**5/120 - n**4/96 + n**3/3 - 2. Let w(s) be the third derivative of t(s). Solve w(j) = 0.
1/2
Let r(q) = 28*q**3 - 32*q**2 - 40*q + 32. Let x(y) = y**3 - y**2 - y. Let l(i) = r(i) - 24*x(i). Factor l(v).
4*(v - 2)**2*(v + 2)
Let y(b) be the second derivative of b**6/210 - 3*b**5/70 + 16*b**3/21 + 18*b. Suppose y(o) = 0. What is o?
-2, 0, 4
Let o(t) be the first derivative of t**7/2940 - t**6/252 + 2*t**5/105 - t**4/21 + t**3/3 - 2. Let n(f) be the third derivative of o(f). Factor n(s).
2*(s - 2)**2*(s - 1)/7
Suppose 6*o - o - 3*v = 21, 5 = -o - 4*v. Let w = 31/2 - 15. Determine c so that -1/2*c + 0 - w*c**o + c**2 = 0.
0, 1
Let o(q) be the third derivative of -1/110*q**5 + 0*q**3 + 1/132*q**4 - 5*q**2 + 0 + 0*q. Suppose o(w) = 0. Calculate w.
0, 1/3
Let y(q) = 2*q**2 + 4*q + 2. Suppose 3*o - h - 30 = -4*h, -4*o + 16 = -2*h. Let k(t) = -t - 1. Let m(c) = o*k(c) + y(c). Factor m(b).
2*(b - 2)*(b + 1)
Let g be (-3 - (3 + -5))*1. Let r be ((-20)/6 + 3)*g. Factor -r*b**5 + 0 - 2/3*b**4 + 1/3*b + 2/3*b**2 + 0*b**3.
-b*(b - 1)*(b + 1)**3/3
Suppose 5*x + 0*x = -15. Let z be 3 + x*1/(-3). Factor -2/3*v + 0 - 20/3*v**z - 4*v**2 - 2*v**5 - 8*v**3.
-2*v*(v + 1)**3*(3*v + 1)/3
Let d(i) be the third derivative of -7*i**5/60 + 3*i**4/8 - i**3/3 + i**2. Suppose d(t) = 0. Calculate t.
2/7, 1
Let t(b) be the first derivative of 4*b**6/21 + 6*b**5/35 - b**4/14 + 56. Factor t(q).
2*q**3*(q + 1)*(4*q - 1)/7
Let w = 424 + -2107/5. Suppose -2/5 - 9/5*q**3 - 4*q**2 - w*q = 0. What is q?
-1, -2/9
Let z(h) = h**4 - 3*h**3 + 6*h**2 + 10*h + 6. Let b(r) = -3*r**4 + 9*r**3 - 17*r**2 - 29*r - 17. Let f(w) = 6*b(w) + 17*z(w). Factor f(d).
-d*(d - 2)**2*(d + 1)
Let y(x) be the second derivative of x**5/20 + x**4/12 - 6*x. Factor y(i).
i**2*(i + 1)
Suppose 0 = -5*l + d + 3, 3*l = -6*d + 3*d - 9. Factor l - 1/2*r + 1/2*r**3 + 0*r**2.
r*(r - 1)*(r + 1)/2
Suppose -19*h = -12*h - 21. Let g(f) be the first derivative of 1/13*f**2 - 2/39*f**h - 3 + 2/13*f - 1/26*f**4. Factor g(j).
-2*(j - 1)*(j + 1)**2/13
Let x(a) be the second derivative of a**6/40 + a**5/5 + 5*a**4/8 + a**3 + a**2/2 + 2*a. Let b(n) be the first derivative of x(n). Let b(t) = 0. What is t?
-2, -1
Let d(h) = 35*h**2 + 5*h + 1. Let o(s) = -7*s**2 - s. Let q(y) = 2*d(y) + 11*o(y). Let k(c) = 6*c**2 - 3. Let b(r) = 4*k(r) + 3*q(r). Factor b(z).
3*(z - 2)*(z + 1)
Let s(g) be the second derivative of g**5/100 - 7*g**4/60 - 4*g**3/15 + g - 12. Determine v so that s(v) = 0.
-1, 0, 8
Let c(b) be the second derivative of 1/60*b**6 - 1/168*b**7 - 1/24*b**4 - 2*b + 0*b**5 + 0 + 1/24*b**3 + 0*b**2. What is u in c(u) = 0?
-1, 0, 1
Let m(g) = g**3 - 8*g**2 - 9*g + 3. Let p be m(9). Suppose 3*y - p*j = 6*y + 9, 0 = 4*j + 20. Let 0*v**2 - 6*v + 2*v - 4 - 2*v**2 + v**y = 0. What is v?
-2
Suppose 14 = 4*i + 6. Let a(k) be the third derivative of 0*k + 1/60*k**5 - i*k**2 + 1/12*k**4 + 1/6*k**3 + 0. Factor a(l).
(l + 1)**2
Let w be -4*(-2 + 4 + -3). Factor 0 + 0*y + 0*y**2 - 6/7*y**w + 2/7*y**3 - 8/7*y**5.
-2*y**3*(y + 1)*(4*y - 1)/7
Find o such that -2*o**2 - 5/2*o - 1/2*o**3 - 1 = 0.
-2, -1
Let f = 25 + -25. Suppose 4*h = 5*r + 4, -3*r + 2*r + 3*h - 3 = 0. Let -1/3*u**3 + 2/3*u**4 + 0*u + f + r*u**2 = 0. What is u?
0, 1/2
Let d(a) = 3*a**2 - 2*a + 2. Let h(z) = 10*z**2 - 5*z + 5. Let l(u) = 7*d(u) - 2*h(u). Factor l(b).
(b - 2)**2
Let t = 156 + -623/4. Suppose 0*l**2 - t*l**5 + 0*l**3 + 0*l**4 + 0 + 0*l = 0. What is l?
0
Let h(j) be the second derivative of 0*j**2 + 1/40*j**5 - 1/168*j**7 + 0 + j + 0*j**6 - 1/24*j**3 + 0*j**4. Let h(t) = 0. What is t?
-1, 0, 1
Let w be 2 + (-48)/27 + 60/216. Factor 9/2*m**2 + w + 3*m + 2*m**3.
(m + 1)**2*(4*m + 1)/2
Let h = -20/43 + 484/301. Factor 12/7*g + 4/7*g**2 + h.
4*(g + 1)*(g + 2)/7
Let g(u) be the first derivative of -u**6/15 + 2*u**5/25 + u**4/2 - 2*u**3/15 - 8*u**2/5 - 8*u/5 - 36. Factor g(i).
-2*(i - 2)**2*(i + 1)**3/5
Suppose 5 - 21 = -4*n. Suppose 2*c = -n*h - h + 2, 5*h - 5*c = 30. Determine g, given that 0 - 1/4*g**h + 1/4*g = 0.
0, 1
Let m(l) be the first derivative of l**5/15 - l**4/6 - 4*l**3/9 + l**2/3 + l + 6. Solve m(g) = 0.
-1, 1, 3
Let b(i) be the second derivative of -i**7/2 + 23*i**6/10 - 81*i**5/20 + 13*i**4/4 - i**3 - 7*i. Determine y so that b(y) = 0.
0, 2/7, 1
Let g(q) = -3*q**3 - 5*q**2 - 2*q. Let f(z) = 184*z**3 + 3*z - 190*z**3 - 9*z**2 - z - 5*z. Let k(y) = 4*f(y) - 9*g(y). Factor k(i).
3*i*(i + 1)*(i + 2)
Let z(x) be the third derivative of -1/48*x**4 + 1/18*x**3 - 5*x**2 + 1/105*x**7 + 1/288*x**8 - 1/180*x**6 + 0*x + 0 - 7/180*x**5. Factor z(l).
(l - 1)*(l + 1)**3*(7*l - 2)/6
Let x(a) be the first derivative of 5*a**4/26 - 8*a**3/13 + 9*a**2/13 - 4*a/13 + 48. Suppose x(g) = 0. What is g?
2/5, 1
Let o(r) be the second derivative of -7*r**4/18 + 23*r**3/9 - 2*r**2 + 7*r. Factor o(m).
-2*(m - 3)*(7*m - 2)/3
Let m(n) = -n**3 + 14*n**2 - 11*n - 19. Let f be m(13). Find z, given that -63*z**5 + 3*z**4 - 15*z**2 + 16*z**3 - f*z**3 + 60*z**5 + 6*z = 0.
-2, 0, 1
Factor 2/3 + 4/3*s + 2/3*s**2.
2*(s + 1)**2/3
Find i, given that -2*i**3 + 0 - 4/3*i**2 - 2/3*i**4 + 0*i = 0.
-2, -1, 0
Let f = -5 + 8. Find t such that 9*t**2 + 3*t - t + f*t**4 + t + 9*t**3 = 0.
-1, 0
Let y = 3 - 7. Let z be -1 - y/12*5. Factor -2/3*v + 0 + z*v**2.
2*v*(v - 1)/3
Let y(k) = 2*k**4 - k**3 - 2*k**2 + k + 5. Let r(x) = x**4 - 2*x**3 - x**2 + 2*x + 4. Let z(c) = 5*r(c) - 4*y(c). Determine l, given that z(l) = 0.
-2, -1, 0, 1
Let j(f) = -f - 1. Let x be j(0). Let d(h) = 6*h**3 - 3*h**2 - 21*h - 6. Let u(c) = c**3 - c**2. Let v(a) = x*d(a) - 3*u(a). Factor v(p).
-3*(p - 2)*(p + 1)*(3*p + 1)
Let j be (-369)/(-297) + 2/(