*3 - y + 2*y - 3*y - 2*y**2.
2*y*(y - 1)*(y + 1)**2
Let v = 5117/1416 + -19/59. Let w = v + -21/8. What is y in -w + y**2 + 1/3*y = 0?
-1, 2/3
Let y(v) = 2*v - 4. Let l be y(6). Suppose -12*r - l = -16*r. Determine c, given that -2/7*c + 2/7*c**3 + 0*c**r + 0 = 0.
-1, 0, 1
Let d = -9 - -12. Factor z**4 - 3*z - 2*z**d + 5*z - 5*z**4 + 6*z**4 - 2*z**2.
2*z*(z - 1)**2*(z + 1)
Let f(r) be the second derivative of -r**9/3024 + r**8/840 - r**7/840 + r**3/2 + 5*r. Let p(k) be the second derivative of f(k). Find c, given that p(c) = 0.
0, 1
Let c(g) be the third derivative of 3*g**2 - 1/120*g**5 - 1/140*g**7 + 0 - 1/8*g**4 + 0*g + 1/1344*g**8 + 11/480*g**6 + 1/3*g**3. Factor c(j).
(j - 2)**3*(j - 1)*(j + 1)/4
Let h(f) = f**2 + 4*f. Let w be h(-4). Suppose -4*c + 8 = 0, -p - c = -0*c - 5. Factor -2/9*a + 4/9*a**4 + w*a**p - 4/9*a**2 + 0 + 2/9*a**5.
2*a*(a - 1)*(a + 1)**3/9
Let n(y) = -2*y**2 + 13*y - 1. Let j(p) = -3*p**2 + 20*p - 1. Let c(l) = -5*j(l) + 8*n(l). Suppose c(t) = 0. Calculate t.
1, 3
Let d(j) be the second derivative of -3*j**5/70 - 5*j**4/42 + 2*j**3/21 - 5*j. Suppose d(q) = 0. What is q?
-2, 0, 1/3
Let y(w) be the first derivative of w**7/42 - 4*w**6/45 + w**5/10 - w**3/18 - 2*w + 4. Let m(d) be the first derivative of y(d). Factor m(g).
g*(g - 1)**3*(3*g + 1)/3
Let f be 4/(0 - (-2 + -3)). Factor 0 - f*r**2 + 2/5*r + 2/5*r**3.
2*r*(r - 1)**2/5
Suppose 4*w - 2*t + 16 = 2*t, 3*t = -2*w + 12. Suppose 4*y - 4*p + 4 = w, -7*p + 4 = 5*y - 3*p. Solve y + 2/3*h**2 - 2/3*h = 0.
0, 1
Let i(a) be the first derivative of -2*a**5/65 - 4*a**4/13 - 16*a**3/13 - 32*a**2/13 - 32*a/13 + 4. Find v, given that i(v) = 0.
-2
Suppose 0 = -7*p - 9*p + 13*p. Find c, given that 0 + 1/2*c**4 + 0*c**2 - 1/2*c**3 + p*c = 0.
0, 1
Suppose 2/15*s + 2/15*s**2 - 2/15 - 2/15*s**3 = 0. Calculate s.
-1, 1
Let o(l) be the second derivative of 3*l + 1/15*l**6 + 0*l**2 + 2/3*l**3 + 0 + 0*l**5 - 1/2*l**4. Factor o(c).
2*c*(c - 1)**2*(c + 2)
Factor 16/13 - 12/13*g**2 - 2/13*g**4 - 10/13*g**3 + 8/13*g.
-2*(g - 1)*(g + 2)**3/13
Let l = -111/10 + 23/2. Solve -2/5*x - 2/5*x**4 + l*x**3 + 2/5*x**2 + 0 = 0 for x.
-1, 0, 1
Let y(x) be the second derivative of -x**4/66 + 7*x. Suppose y(c) = 0. Calculate c.
0
Let l be 112/24 + (0 - 4). Factor 0 - h**2 + l*h + 1/3*h**3.
h*(h - 2)*(h - 1)/3
Let z = -2788/7 + 400. Suppose z*u + 3/7*u**4 - 3/7*u**3 - 18/7*u**2 + 24/7 = 0. What is u?
-2, -1, 2
Let h(i) = -i**2 + i + 2. Let q be h(2). Suppose -3*o + 3 = -q. Factor -1/4*z**2 - o - z.
-(z + 2)**2/4
Suppose -y + 29 = d, d + 39 = -y + 2*y. Let q be ((-4)/(-3))/(y/51). Determine m, given that -2*m**4 + m**q - 9/2*m + 9/2*m**3 + 1 = 0.
-1, 1/4, 1, 2
Let l = -92/15 - -34/5. Suppose 0 = 3*m - 2*t + 2, -m - 5*t + 14 + 8 = 0. Determine n so that n**3 - l*n + 0 + 1/3*n**m = 0.
-1, 0, 2/3
Let w(t) = 13*t**3 - 33*t**2 + 28*t - 13. Let v(z) = -6*z**3 + 16*z**2 - 14*z + 6. Let o(b) = -5*v(b) - 2*w(b). Factor o(r).
2*(r - 2)*(r - 1)*(2*r - 1)
Let i be 12/8*8/18. Let n(r) be the second derivative of -r**2 - 1/6*r**4 + 0 + i*r**3 + r. Factor n(a).
-2*(a - 1)**2
Let s(m) be the third derivative of 0 + 2*m**2 + 1/210*m**5 - 1/42*m**4 + 0*m + 0*m**3. Solve s(d) = 0.
0, 2
Let d = 17 + -15. Let f(n) be the first derivative of -d - 1/20*n**5 + 0*n**4 + 0*n + 1/24*n**6 + 0*n**2 + 0*n**3. Factor f(o).
o**4*(o - 1)/4
Factor 4*d**5 - 17*d**4 + 8*d**2 + 16*d**3 - 9*d + 8 + d - 12*d + d**4.
4*(d - 2)*(d - 1)**3*(d + 1)
Let u be (-1)/(3/(-6)*1). Find x, given that -4*x**4 - 4*x**3 + u*x**5 + 2*x**3 - 2*x**2 + 2*x**4 + 4*x**4 = 0.
-1, 0, 1
Factor 9 + 3*u**3 - u**3 - 2*u - 9.
2*u*(u - 1)*(u + 1)
Suppose -30 = -5*t + 15. Let s = 11 - t. Determine c so that 0 - c + 1/2*c**s = 0.
0, 2
Let r be 272/(-68) + (-1)/((-3)/14). Let -2*x**2 - 2/3 - r*x**3 - 2*x = 0. What is x?
-1
Let b(h) be the first derivative of h**6/360 - h**5/60 + h**4/24 - h**3 - 3. Let k(i) be the third derivative of b(i). Determine v so that k(v) = 0.
1
Suppose -3*r - 6*j + 61 = -2*j, 0 = 5*r + 3*j - 98. Suppose 3*b**4 - 3*b**3 - b**3 - r*b**4 = 0. Calculate b.
-1/4, 0
Let p be (-28)/(-14) - 3/2. Let j(v) be the first derivative of p*v**2 - 4/15*v**3 + 4 - 2/5*v + 1/20*v**4. Determine h, given that j(h) = 0.
1, 2
Let w(l) be the third derivative of l**7/735 - l**6/420 - l**5/70 + 5*l**4/84 - 2*l**3/21 - 5*l**2. Find t, given that w(t) = 0.
-2, 1
Let d(z) = z**3 - 4*z**2 + 6*z - 6. Let w be d(3). Let y be 1*6*w/6. Find l such that -4/3*l**y + 2/3 + 10/3*l**2 + 3*l - 5/3*l**5 - 4*l**4 = 0.
-1, -2/5, 1
Let c(h) = h + 3. Let o = 0 + 0. Let t be c(o). Factor -i**t + i**2 + i**2 - 2 + 2*i - i**3.
-2*(i - 1)**2*(i + 1)
Let d(v) be the first derivative of 2*v**5/5 - 2*v**3/3 - 20. Determine l so that d(l) = 0.
-1, 0, 1
Solve 0*z**3 + 6*z - 3*z**2 + 2*z**3 + z**3 + 12*z**2 = 0.
-2, -1, 0
Suppose o = 6*o - 40. Suppose 0 = -v + 2. Determine y so that -10*y**3 - 2*y**5 - 2*y + 8*y**2 + v*y**3 - 4*y**3 + o*y**4 = 0.
0, 1
Let i(s) = -s - 5. Let l be i(-5). Let f(a) be the third derivative of 0*a + 0 + 2*a**2 + 0*a**4 + l*a**3 - 1/210*a**5. Factor f(n).
-2*n**2/7
Suppose 4*a - 115 = -a. Let t(n) = -n**3 - 6*n**2 - n - 1. Let j be t(-6). Find h, given that 22*h**2 - 20*h**j + 17/2*h + 23/2*h**3 + 1 - a*h**4 = 0.
-1, -1/2, -2/5, -1/4, 1
Let q = 189 - 943/5. Let h = -1 - -3. Solve 0 - 4/5*n**h + 2/5*n + q*n**3 = 0 for n.
0, 1
Let v(t) be the third derivative of 55*t**8/336 - 4*t**7/7 + 5*t**6/8 - t**5/6 - 25*t**2. Find n, given that v(n) = 0.
0, 2/11, 1
Let r = 64 + -61. Factor w**2 - 1 + 1/2*w - 1/2*w**r.
-(w - 2)*(w - 1)*(w + 1)/2
Let o be -3 + -1*(0 + -4). Let t be o + 6 - (5 - 2). Suppose 5/4*r + 5/4*r**t + 5/2*r**3 + 1/4 + 1/4*r**5 + 5/2*r**2 = 0. Calculate r.
-1
Suppose 77 + 67 = -5*i + 4*p, 4*i - p + 124 = 0. Let r be (3/8)/((-8)/i). Let d + 0 + r*d**2 = 0. Calculate d.
-2/3, 0
Suppose 4 = -4*w, -v + 2 = 4*w + 5. Suppose 2*m - v = 7. Let -4*h - m*h**2 + 3*h + 1 - h**2 + 3*h**2 = 0. Calculate h.
-1, 1/2
Let k(g) be the first derivative of g**3 + 3*g**2/2 - 7. Factor k(o).
3*o*(o + 1)
Let o = -118 - -592/5. Factor 0 + o*u - 6/5*u**3 - 4/5*u**2.
-2*u*(u + 1)*(3*u - 1)/5
Suppose -p = -u - 2, u - 6*u - 6 = -4*p. Factor 7*z**2 + 0*z**2 + 4*z**4 - 6*z**p - 2 - 3*z**2.
-2*(z - 1)**2*(z + 1)**2
Let p(w) be the first derivative of -w**6/10 - w**5/20 + w**4/4 + w**3/6 + 4*w - 4. Let o(i) be the first derivative of p(i). Factor o(f).
-f*(f - 1)*(f + 1)*(3*f + 1)
Let t(x) be the first derivative of 2/21*x**3 - 2/21*x**6 + 1 + 1/7*x**2 - 2/7*x**5 + 0*x - 3/14*x**4. Factor t(n).
-2*n*(n + 1)**3*(2*n - 1)/7
Suppose -4*l - l = d - 13, 3*d - 5 = 2*l. Factor 2 + a**3 - a - l*a - a**5 - a**3 - 2*a**2 + 4*a**3.
-(a - 1)**3*(a + 1)*(a + 2)
Suppose g - 2*g = -5. Let -11/3*m**2 + 11/3*m**4 + 0 + 13/3*m**3 - 5*m**g + 2/3*m = 0. What is m?
-1, 0, 1/3, 2/5, 1
Let v be 0 - (2 + -1 + -1). Suppose 4 = 4*y - 4*f, -y + 4*f - 6 = -1. Let 0 + 2/9*h**y + v*h + 2/9*h**2 = 0. What is h?
-1, 0
Suppose 15*t - 3*t**5 - 6 + 12*t**4 + 5*t**2 - 5*t**2 - 12*t**3 - 6*t**2 = 0. What is t?
-1, 1, 2
Let j = -113 - -116. Let b(q) be the second derivative of 0 + 5/12*q**4 + 17/6*q**j + 3*q**2 + 3*q. What is u in b(u) = 0?
-3, -2/5
Let h(w) = 17*w**5 - 18*w**4 - 5*w**3 + w**2 + 5*w - 5. Let b(d) = -42*d**5 + 45*d**4 + 12*d**3 - 3*d**2 - 12*d + 12. Let a(j) = -5*b(j) - 12*h(j). Factor a(u).
3*u**2*(u - 1)**2*(2*u + 1)
Factor -22*m + 13*m + 9*m + 2*m**2.
2*m**2
Let s be 2 + (-4 + 9)*(-2)/(-10). Let r(x) be the first derivative of -4/9*x**3 + 4/3*x - 3/2*x**4 + s*x**2 + 3. Solve r(c) = 0 for c.
-1, -2/9, 1
Let n(w) be the first derivative of -w**6/840 + w**5/70 - 3*w**4/56 - 2*w**3/3 + 1. Let t(s) be the third derivative of n(s). Find b such that t(b) = 0.
1, 3
Factor 1/5*g**4 - 8/5*g + 2/5*g**3 + 0 - 4/5*g**2.
g*(g - 2)*(g + 2)**2/5
Let a = -37 - -45. Solve 42/5*r**3 + 8/5*r + 0 - 10*r**5 + 8*r**4 - a*r**2 = 0 for r.
-1, 0, 2/5, 1
Let p(b) = -70*b**4 - 195*b**3 - 70*b**2 + 420*b. Let f(h) = -5*h**4 - 14*h**3 - 5*h**2 + 30*h. Let x(n) = -85*f(n) + 6*p(n). Solve x(q) = 0 for q.
-3, -2, 0, 1
Let n(w) = -w**3 + 5*w**2 - w + 5. Let k be n(5). Let v = k + 2. Determine q, given that 0 + 2/3*q + 2/3*q**4 + 2*q**v + 2*q**3 = 0.
-1, 0
Let u(g) be the first derivative of g**6/6 + 12*g**5/35 - g**4/7 - 2*g**3/3 - 3*g**2/14 + 2*g/7