 + 1)/2
Suppose 3*o = -o + 40. Let f = o + -8. Suppose -588*v**4 - 285*v**2 + 30*v**2 + 132*v + 924*v**3 - 12 - 276*v**f = 0. What is v?
2/7, 1/2
Let b(c) = 3*c**5 - 4*c**4 + c**3 + 3*c**2 - 8*c - 5. Let v(x) = x**5 - x**3 - x**2 - 1. Let h(y) = -b(y) + 5*v(y). Factor h(g).
2*g*(g - 1)**2*(g + 2)**2
Suppose -1/5*m**4 + 0*m**2 + 0 + 1/5*m**5 + 0*m**3 + 0*m = 0. What is m?
0, 1
Let s = 116/3 - 38. Let i(w) be the second derivative of w + s*w**3 + 0 + 1/10*w**5 + 5/12*w**4 + 1/2*w**2. Factor i(g).
(g + 1)**2*(2*g + 1)
Let y = 9/2 + -33/10. Let l be ((-7)/(-15))/(3/18). Suppose -4/5*n + 0 + y*n**3 + 6/5*n**5 - 6/5*n**2 + l*n**4 = 0. Calculate n.
-1, 0, 2/3
Suppose -14 + 4 = 5*z. Let q be 3/z + 6/3. Suppose q*p + 1/4 + 1/4*p**2 = 0. What is p?
-1
Let h(u) be the second derivative of u**5/130 - u**4/26 + 2*u**3/39 + 4*u - 5. Factor h(t).
2*t*(t - 2)*(t - 1)/13
Let g be (2 - (-6)/(-3)) + 207. What is d in -g*d**3 - 256*d**3 - 100*d**5 + 112*d**2 + 257*d**4 + 23*d**4 + 187*d**3 - 16*d = 0?
0, 2/5, 1
Let g(n) be the third derivative of 1/24*n**4 + 1/120*n**6 - 2*n**2 + 0 - 1/30*n**5 + 0*n + 0*n**3. What is u in g(u) = 0?
0, 1
What is i in 2/3*i**5 - 14/3*i**4 + 20/3*i**3 - 18*i - 18 + 12*i**2 = 0?
-1, 3
Let z = 15/154 + 663/308. Solve -3/4 + 15/4*p - 21/4*p**2 + z*p**3 = 0.
1/3, 1
Let s(d) be the first derivative of -8*d + 6*d**2 - 4/3*d**3 + 8. Let s(f) = 0. Calculate f.
1, 2
Let h(p) be the third derivative of p**6/660 + p**5/330 - 4*p**2. Factor h(i).
2*i**2*(i + 1)/11
Let s(i) be the first derivative of -i**4/4 + 2*i**3 - 9*i**2/2 - 7. Factor s(q).
-q*(q - 3)**2
Let m be 7/(-70) - 141/(-210). Let r(s) be the first derivative of m*s**4 + 1/21*s**6 - 2/7*s**5 - 8/21*s**3 + 0*s - 4 + 0*s**2. Factor r(y).
2*y**2*(y - 2)**2*(y - 1)/7
Let k(f) = 6*f + 3 - 2 + 3 - f**2. Let n be k(6). Determine m, given that 140*m**n - 6*m - 98*m**5 - 22*m**2 - 18*m**2 - 2*m + 6*m**3 = 0.
-2/7, 0, 1
Let g = -39 - -41. Factor 2/3*x**4 - 2/3 - 7/3*x - 2/3*x**3 - 8/3*x**g + 1/3*x**5.
(x - 2)*(x + 1)**4/3
Suppose 3*v**5 - v**4 + 0*v**4 - v**4 - 29*v**3 + 2*v**2 + 26*v**3 = 0. What is v?
-1, 0, 2/3, 1
Let f(p) = -p + 4*p**3 + p - p**3 + 2. Let b(v) = -2*v**3 - v**2 - 3. Let j(w) = -2*w + 5. Let q be j(4). Let o(u) = q*f(u) - 2*b(u). Factor o(l).
-l**2*(5*l - 2)
Let u(k) be the first derivative of -3*k**5/20 - 9*k**4/8 - 5*k**3/4 - 5. Determine o, given that u(o) = 0.
-5, -1, 0
Let d(z) be the second derivative of z**5/110 - 64*z. Let d(g) = 0. Calculate g.
0
Let w = -1017/20 - -258/5. Factor 3/8*h**2 - w*h + 0.
3*h*(h - 2)/8
Let t(z) be the first derivative of -5*z**6/6 - 2*z**5 + 10*z**3/3 + 5*z**2/2 - 12. Factor t(a).
-5*a*(a - 1)*(a + 1)**3
Let t be -1 - (3 + (-8 - 1)). Let p(v) be the first derivative of 0*v**2 - 1 + 2/3*v**3 + 2/5*v**t + v**4 + 0*v. Factor p(l).
2*l**2*(l + 1)**2
Let i be ((-8)/3)/((-18)/297). Let n = 133/3 - i. Factor 2/3*o**2 + 0*o + 0 - n*o**3.
-o**2*(o - 2)/3
Let i = 2/283 + 277/849. Let z(n) be the first derivative of -n + n**2 - i*n**3 - 1. Suppose z(v) = 0. What is v?
1
Suppose 0 = 6*a + 307 - 307. Suppose -f**2 - 1/7*f + a - 15/7*f**3 - 9/7*f**4 = 0. Calculate f.
-1, -1/3, 0
Let q be (-3 - -8)*(-6)/(-10). What is d in -3*d**2 - 3*d**3 - 4*d + 7*d + 0*d**3 + q*d**4 = 0?
-1, 0, 1
Suppose 2 + 6*c + 13*c**3 + 6*c**2 + 15*c**3 - 26*c**3 = 0. What is c?
-1
Let h(b) be the first derivative of b**5/20 - b**4/4 + b**3/3 - 9. Solve h(s) = 0 for s.
0, 2
Let q = -29 - -23. Let a be 3 + (-1)/(-2)*q. Factor 1/2*z**2 + a + 0*z - 1/4*z**3.
-z**2*(z - 2)/4
Let u(q) be the first derivative of q**3/3 - q**2 - 7. Factor u(w).
w*(w - 2)
Let y(z) be the third derivative of z**5/60 + z**3/6 - 3*z**2. Let h(b) = b**3 + 2*b**2 + 3*b + 4. Let u(g) = h(g) - 5*y(g). Factor u(n).
(n - 1)**3
Let d(o) = 6*o + 81. Let y be d(-13). Factor -1/2*n + 5/4*n**2 + 0 - n**y + 1/4*n**4.
n*(n - 2)*(n - 1)**2/4
Let y(f) be the second derivative of -f**5/20 - f**4/4 - 10*f**3/27 - 2*f**2/9 + 6*f. Factor y(d).
-(d + 2)*(3*d + 1)*(3*d + 2)/9
Suppose -36/5*q**2 + 0 + 24/5*q + 18/5*q**3 - 3/5*q**4 = 0. What is q?
0, 2
Determine j so that 9 - 7*j**3 + 6*j + 3*j**2 - 14*j - 7*j + 10*j**3 = 0.
-3, 1
Let l be 7/(-24) + 2/6. Let w(z) be the third derivative of 0 - 1/60*z**5 + 1/6*z**3 - l*z**4 + 1/120*z**6 + 0*z + z**2. Solve w(j) = 0 for j.
-1, 1
Let j(k) be the first derivative of k**6/30 + 18*k**5/25 + 61*k**4/10 + 76*k**3/3 + 105*k**2/2 + 50*k + 44. Factor j(y).
(y + 1)*(y + 2)*(y + 5)**3/5
Suppose -2/3*g**2 + 2/3*g**4 + 2/3*g**3 - 2/3*g**5 + 0*g + 0 = 0. What is g?
-1, 0, 1
Let v(l) be the first derivative of -1/5*l**5 + 1/3*l**3 + 0*l + 7 + 1/4*l**4 - 1/2*l**2. Suppose v(w) = 0. Calculate w.
-1, 0, 1
Let w(l) be the first derivative of l**4/14 + 2*l**3/21 + 6. Factor w(p).
2*p**2*(p + 1)/7
Factor -1/5*z**2 - 1/5 + 2/5*z.
-(z - 1)**2/5
Let z(g) be the second derivative of g**7/14 + 6*g**6/5 + 171*g**5/20 + 67*g**4/2 + 78*g**3 + 108*g**2 + 6*g + 2. Factor z(c).
3*(c + 2)**3*(c + 3)**2
Let h(p) be the third derivative of 2*p**2 + 0*p + 4/3*p**3 - 1/3*p**4 + 0 + 1/30*p**5. Find x such that h(x) = 0.
2
Let g = -10 - -3. Let j = g - -9. Determine l, given that 4/7*l**4 - 4/7*l**j + 0*l**3 + 0 + 2/7*l**5 - 2/7*l = 0.
-1, 0, 1
Let j(s) be the second derivative of -s**8/13440 - s**7/5040 - s**4/12 + s. Let q(c) be the third derivative of j(c). Factor q(f).
-f**2*(f + 1)/2
Let q(v) be the second derivative of -v**5/120 + v**4/48 - 2*v**2 + v. Let l(p) be the first derivative of q(p). Let l(z) = 0. Calculate z.
0, 1
Let t(c) = 7*c**3 + 15*c**2 + 16*c + 3. Let l(n) = 10*n**3 + 22*n**2 + 24*n + 5. Let h(s) = 5*l(s) - 7*t(s). Find v, given that h(v) = 0.
-2, -1
Let w(a) be the first derivative of 4 + 6*a**2 - 2/3*a**3 - 18*a. Let w(s) = 0. Calculate s.
3
Let n = 11 + -6. Let v(f) = -f**2 + 5*f + 3. Let i be v(5). Factor i*o - o - n*o + o - 2*o**2.
-2*o*(o + 1)
Suppose -4 = 5*i - 19. Let s(f) = 9*f**4 + 9*f**3 + f**2 + f + 5. Let t(n) = 5*n**4 + 5*n**3 + n**2 + n + 3. Let g(d) = i*s(d) - 5*t(d). Solve g(x) = 0.
-1, 0, 1
Let o(z) = z**2 + z - 1. Let f(r) = -r**2 + 3. Let d(t) = -2*t - 4. Let w be d(-3). Let n(g) = w*o(g) + f(g). Find j, given that n(j) = 0.
-1
Suppose c + 119 + 1 = 0. Let p = c + 602/5. Factor 0 + p*n**2 + 2/5*n**4 + 4/5*n**3 + 0*n.
2*n**2*(n + 1)**2/5
Let d(s) be the first derivative of -s**3/3 + s - 2. Factor d(x).
-(x - 1)*(x + 1)
Let b(k) be the first derivative of 1/4*k**2 + 1/2*k**3 + 0*k + 5 + 3/8*k**4 + 1/10*k**5. Factor b(z).
z*(z + 1)**3/2
Let j = -3/11 - -20/33. Let q(b) be the second derivative of -2*b - 1/9*b**4 + 0 + 5/18*b**3 - j*b**2 + 1/60*b**5. Solve q(k) = 0.
1, 2
Let d be 2/(-6) - 14/(-24). Find f such that 0*f + 0 - 1/4*f**3 - 1/2*f**4 + 0*f**2 - d*f**5 = 0.
-1, 0
Factor 6/5*q**3 + 8/5*q**4 + 0*q - 2/5*q**2 + 0.
2*q**2*(q + 1)*(4*q - 1)/5
Let o be 6/9 - (-8)/(-12). Let w(y) be the third derivative of o*y**4 - 1/60*y**6 + 0*y**3 - 2*y**2 + 0*y + 0 - 1/210*y**7 - 1/60*y**5. Factor w(z).
-z**2*(z + 1)**2
Let o be (-14 + 13)*0/(-1). Factor 0 + o*b**2 + 0*b + 2/3*b**3.
2*b**3/3
Let c(o) = -2*o**5 - o**4 - o**3 + o**2 + 3*o + 3. Let h(p) = p**5 - p - 1. Let g(d) = 2*c(d) + 6*h(d). Factor g(z).
2*z**2*(z - 1)**2*(z + 1)
Let c(n) be the first derivative of n**3 + 3*n**2/2 + 23. Factor c(k).
3*k*(k + 1)
Let p be 3*-1*(-1 - 0). Suppose 4*y + 2*y**4 + 6*y**p - 2*y**4 + y**5 - 3*y - 4*y**2 - 4*y**4 = 0. What is y?
0, 1
Let o be -1*1/6*(-12)/8. Find w such that -3/2*w**2 - 2 - 3*w - o*w**3 = 0.
-2
Suppose 2*r - 39 = -7. Let t be (-1)/4 + 36/r. Suppose 6/7*k**3 - 4/7 + 4/7*k**t - 6/7*k = 0. Calculate k.
-1, -2/3, 1
Let y be 212/570 - (-8)/(-76). Suppose -2/5*o**3 - y*o + 0 - 2/15*o**4 + 2/3*o**2 + 2/15*o**5 = 0. Calculate o.
-2, 0, 1
Let g(o) be the first derivative of 0*o**2 - 1/6*o**3 + 1 + 0*o - 1/8*o**4. Factor g(w).
-w**2*(w + 1)/2
Let s(g) be the second derivative of 1/80*g**5 + 0*g**4 - 1/8*g**3 + 0 + 3*g - 1/4*g**2. Factor s(h).
(h - 2)*(h + 1)**2/4
Let 2/7 + 2/7*f**5 + 4/7*f**3 - 6/7*f + 4/7*f**2 - 6/7*f**4 = 0. Calculate f.
-1, 1
Let s(a) = 3*a**2 - 4*a + a - a - 4*a**2 + 7. Let f be s(-5). Factor f*z**3 - z**3 + z - z - z.
z*(z - 1)*(z + 1)
Factor 7*n**2 + 12 - 4*n**2 + 12*n + 12*n + 36.
3*(n + 4)**2
Let m(l) be the third derivative of -l**7/630 + l**6/120 - l**5/60 + l