= 0 for g.
-1, 3/2
Suppose 3*o - 3 = 2*o. Suppose o*y - 10 = -2*y. Determine v, given that -5*v - 2*v + 3*v**y + 13*v - 9 = 0.
-3, 1
Let j(n) be the first derivative of 0*n + 5/3*n**3 - 1/180*n**5 + 0*n**2 + 4 + 1/1080*n**6 + 0*n**4. Let s(p) be the third derivative of j(p). Factor s(k).
k*(k - 2)/3
Let b(z) = -z**3 + 6*z**2 + 2. Let d be b(6). What is x in 12 + 2*x**2 + 12*x - 2*x**2 + d*x**2 + x**2 = 0?
-2
Let l(b) = 25*b - 1325. Let o be l(53). Factor 4/3*z + o - 2*z**2 + 0*z**3 + 2/3*z**4.
2*z*(z - 1)**2*(z + 2)/3
Let k = -124 - -471. Factor -335*d + k*d - 2 + 4*d**2 + 10.
4*(d + 1)*(d + 2)
Let j(b) be the third derivative of -b**11/110880 + b**9/10080 - b**7/1680 - b**5/5 + 12*b**2. Let s(t) be the third derivative of j(t). Factor s(c).
-3*c*(c - 1)**2*(c + 1)**2
Factor -2*r**5 - 190*r**2 - 40*r**4 - 3*r**5 - 40 + 21*r**3 - 146*r**3 - 883*r + 743*r.
-5*(r + 1)**2*(r + 2)**3
Let i be (-2)/(-14) - 753/(-21). Let f be (i/(-45))/(2/(-5)). Factor -2*w**4 - 4*w**4 - 4*w**f + 10*w**4.
4*w**2*(w - 1)*(w + 1)
Let s = -1 - -1. Suppose s = -2*q + 7 - 3. Factor 8*z + q*z**3 + 2*z**3 + 7*z**3 - 8*z**2 - 9*z**3.
2*z*(z - 2)**2
Solve -8/3 + 20/3*l + 7/3*l**3 + 26/3*l**2 = 0.
-2, 2/7
Let b be 5*(-10)/(-25) - (-2 + 1). Factor 1870*j**2 - 4 - 9*j**3 - b*j - 1882*j**2 + 4.
-3*j*(j + 1)*(3*j + 1)
Let y(a) = -5*a**2 - 36*a - 70. Let q(s) = 4*s**2 + 36*s + 68. Let r(h) = 3*q(h) + 2*y(h). Let r(n) = 0. What is n?
-16, -2
Let s = 177 + -152. Suppose s*d**5 + 9*d**3 - 22*d**5 + 3*d**3 + 4*d**2 + 11*d**4 = 0. What is d?
-2, -1, -2/3, 0
Let x(u) = u**3 - u**2 + 145*u + 3. Let l be x(0). Find c, given that 2/19*c**4 + 4/19*c**l - 4/19*c + 0 - 2/19*c**2 = 0.
-2, -1, 0, 1
Let y be 788/112 + 4/(-14). Suppose 5*b + 25 = 5*v, 8*b = 13*b. Determine o, given that -y*o**2 + 1 + 2*o + 43/4*o**4 - 7/4*o**3 - 21/4*o**v = 0.
-2/3, -2/7, 1
Let n be 5*(24/20)/2. Let i be 2 + -2 + 9/n. Factor q**i - 7*q**3 + 2*q**3 + 4*q.
-4*q*(q - 1)*(q + 1)
Suppose -5*r + o - 267 = 0, -4*r + o - 5*o = 228. Let w = 76 + r. Suppose 3*h**2 + 4 - 30*h + w*h + h**2 = 0. What is h?
1
Let c be (-1)/3 + 266/42. Let g(v) = 4*v**3 - 3*v**2 - v - 3. Let n = 6 + -8. Let o(w) = w**3 - w - 1. Let h(a) = c*o(a) + n*g(a). Factor h(u).
-2*u*(u - 2)*(u - 1)
Factor 4*r**2 + 4*r**2 - 2*r**2 + 11*r - 5*r - r**3 + r.
-r*(r - 7)*(r + 1)
Factor -3/7*d**5 + 12/7*d**4 + 0*d - 12/7*d**3 + 0*d**2 + 0.
-3*d**3*(d - 2)**2/7
Let w(y) be the third derivative of 0 + 0*y**3 + 0*y - 2/45*y**5 - 8*y**2 + 1/9*y**4 + 1/180*y**6. Factor w(n).
2*n*(n - 2)**2/3
Let p(l) be the third derivative of l**8/896 - l**7/560 - l**6/320 + l**5/160 - 138*l**2. Solve p(q) = 0.
-1, 0, 1
Let k(u) be the second derivative of -u**6/80 - u**5/120 - u**3/2 + 5*u. Let s(j) be the second derivative of k(j). Factor s(i).
-i*(9*i + 2)/2
Let f = -2182 - -8749/4. Factor 0 - 15/4*v**3 - f*v**2 - 3/4*v**4 - 9/4*v.
-3*v*(v + 1)**2*(v + 3)/4
Let v be 14*(624/112)/13 + (-14)/3. Find s, given that -2/9*s**2 + 0 - v*s = 0.
-6, 0
Let c(f) = -2*f**3 + f**2 - 3. Let a be c(2). Let y = a + 15. Factor 0*h**2 + 3/2*h**3 + 0*h + y - 3/2*h**4.
-3*h**3*(h - 1)/2
Let y(x) = x**4 - x**3 - x**2 - 1. Let k(u) = -6*u**4 - 2*u**3 + 9*u**2 + 84*u + 79. Let o(r) = -2*k(r) - 14*y(r). Factor o(b).
-2*(b - 6)**2*(b + 1)*(b + 2)
What is m in 4*m**3 - m - 3*m**3 + 5*m**2 + 13*m**2 - 20*m**2 + 2 = 0?
-1, 1, 2
Let z be 36/15 + (-3)/(-5). Suppose 0 = 9*q - z*q. Factor q - 1/5*k**2 + 0*k.
-k**2/5
Let w = -31/365 + 50/73. Find x such that 12/5*x - 9/5 - w*x**2 = 0.
1, 3
Let o(h) be the third derivative of h**5/9 - h**4/18 - 4*h**3/3 - 30*h**2 + 2*h. Factor o(l).
4*(l + 1)*(5*l - 6)/3
Let c(j) be the first derivative of 5*j**3 + 0*j**2 - 14 + 0*j**4 + 3/40*j**5 - 1/120*j**6 + 0*j. Let b(f) be the third derivative of c(f). Solve b(x) = 0.
0, 3
Let z(v) be the first derivative of v**5 - 15*v**4/2 - 5*v**3 + 140*v**2 - 240*v + 647. Factor z(o).
5*(o - 4)**2*(o - 1)*(o + 3)
Let b(d) be the third derivative of 0*d**4 + 9*d**2 + 0*d**3 + 1/160*d**6 + 1/120*d**5 + 0*d + 0. Let b(m) = 0. Calculate m.
-2/3, 0
Let r(h) be the third derivative of -h**9/10080 + h**7/1680 - 13*h**4/24 - 9*h**2. Let g(a) be the second derivative of r(a). Factor g(s).
-3*s**2*(s - 1)*(s + 1)/2
Let f = 109 + -97. Suppose 5*n = -0*n + q - 3, 5*n + f = 4*q. Determine l, given that 0*l - 3/4*l**5 + 5/4*l**4 + n + 0*l**2 - 1/2*l**3 = 0.
0, 2/3, 1
Factor 1/4*k**2 + 15/4*k + 7/2.
(k + 1)*(k + 14)/4
Let q be ((-1)/3)/(5/(-15)). Let d be 2/(q + (-2)/4). Factor 4*i**2 + 5*i**4 - i**4 + 2*i + 4*i**d - 14*i**3.
2*i*(i - 1)**2*(4*i + 1)
Let c(u) = -8*u**4 + 8*u**3 + 5*u**2 - 5*u - 10. Let d(j) = -12*j**4 + 12*j**3 + 8*j**2 - 8*j - 16. Let f(s) = -8*c(s) + 5*d(s). Find a, given that f(a) = 0.
0, 1
Let l(a) = -a**2 + 4*a + 33. Let w be l(8). Let r be w + 2*3/2. Factor -6/5*v**3 + 6/5*v - 4/5 + 2/5*v**r + 2/5*v**2.
2*(v - 2)*(v - 1)**2*(v + 1)/5
Let i be 3/12 - 3/(-20). Let x be 2/3 + (-4)/6. Factor 0*j**3 + x - i*j**2 + 2/5*j**4 + 0*j.
2*j**2*(j - 1)*(j + 1)/5
Let n(j) be the third derivative of j**5/360 - 7*j**4/18 - 19*j**3/12 + 2*j**2 + 25. Factor n(y).
(y - 57)*(y + 1)/6
Suppose 4 = -2*y - 2*l, -9 = -5*y + l - 1. Let q(s) = 14*s + 16. Let k be q(-1). Find p, given that 8*p - 3 + 0 - y - 2*p**2 - k = 0.
1, 3
Suppose 63 = 5*k + 48. Let s(h) be the first derivative of -3*h**2 + 2/3*h**3 + k + 4*h. What is l in s(l) = 0?
1, 2
Let g be ((-1)/(-2))/((-8)/(-64)). Let r(q) = -q**2 - q. Let p(y) = y**3 - 2*y**2 + 3. Let c(a) = g*p(a) - 28*r(a). What is m in c(m) = 0?
-3, -1
Let s(q) be the first derivative of -5/4*q**2 - 2/3*q**3 - q - 1/8*q**4 - 4. Factor s(h).
-(h + 1)**2*(h + 2)/2
Suppose -5*x + 3 = -4*x. Suppose 3*j = -4*t - 10, j = -3*j - x*t - 4. What is i in -28*i**j + 5*i**5 - 8*i - 20*i**4 - i**3 - 35*i**3 - 9*i**5 = 0?
-2, -1, 0
Let o(d) = d + 1. Let n(z) = -4*z**2 - 4*z - 10. Let l(c) = 5*c**2 + 4*c + 11. Let g(k) = 5*l(k) + 6*n(k). Let r(q) = g(q) + 6*o(q). Factor r(m).
(m + 1)**2
Let o(a) be the third derivative of -a**6/540 - a**5/180 + 5*a**3/6 + 4*a**2. Let s(l) be the first derivative of o(l). Solve s(y) = 0.
-1, 0
Let t(r) = -r**2 + 44*r + 479. Let a be t(-9). Factor -8/5*l + 4/5*l**a + 0.
4*l*(l - 2)/5
Let q = -728 - -730. Solve 2/9*a**q - 4/9*a - 2/3 = 0 for a.
-1, 3
Let b(c) = c**3 - 8*c**2 + c + 42. Let k be b(3). Let 1/10*n + k - 1/10*n**2 = 0. What is n?
0, 1
Let t(i) be the third derivative of -i**6/540 - 7*i**5/54 - 32*i**4/27 - 124*i**3/27 - 139*i**2 + i. Factor t(v).
-2*(v + 2)**2*(v + 31)/9
Let k be -8*(3 - 165/44). Let u(i) be the first derivative of 0*i**2 - 8*i + k + 2/3*i**3. Factor u(p).
2*(p - 2)*(p + 2)
Let x = -22997/3 - -7666. Factor 0 - 1/3*h**4 - x*h**5 + 0*h + 1/3*h**2 + 1/3*h**3.
-h**2*(h - 1)*(h + 1)**2/3
Let q = -46 + 49. Suppose 24 = 4*x - 4*m, x + 8 = q*x - m. Factor 9/2*c + x - 5/4*c**2.
-(c - 4)*(5*c + 2)/4
Let s(l) be the second derivative of l**5/90 + l**4/9 + 11*l**3/27 + 2*l**2/3 - l + 25. Factor s(h).
2*(h + 1)*(h + 2)*(h + 3)/9
Let y(g) be the second derivative of g**6/105 + g**5/2 + 67*g**4/42 + 11*g**3/7 - 747*g. Solve y(t) = 0 for t.
-33, -1, 0
Let z(o) = 6*o**2 + 51*o + 63. Let i be z(-7). Factor i - 4/9*g**3 + 0*g - 2/9*g**4 - 2/9*g**2.
-2*g**2*(g + 1)**2/9
Find w such that 92/7*w**3 - 8/7*w + 72/7*w**4 + 12/7*w**2 + 0 = 0.
-1, -1/2, 0, 2/9
Let x(t) be the second derivative of t**4/60 - 31*t**3/15 + 259*t. Find d such that x(d) = 0.
0, 62
Let b(d) be the second derivative of 1/180*d**6 - 26*d + 0 + 1/72*d**4 + 1/40*d**5 - 1/6*d**2 - 1/12*d**3. Factor b(k).
(k - 1)*(k + 1)**2*(k + 2)/6
Let y(h) = -6*h**3 - 3*h**2 + 3*h + 3. Let l(q) = -q**5 + q**4 + 6*q**3 + 2*q**2 - 2*q - 2. Let a(k) = -3*l(k) - 2*y(k). Solve a(n) = 0.
-1, 0, 2
Let w(j) = 6*j**4 + 38*j**3 - 88*j**2 - 32*j - 4. Let n(a) = -a**2 - 1. Let k(m) = 4*n(m) - w(m). Determine f, given that k(f) = 0.
-8, -1/3, 0, 2
Let d = 2959/2 + -1478. Determine k, given that d + 0*k - 3/2*k**2 = 0.
-1, 1
Let s = 72 + 13. Let d = -247/3 + s. Solve 0 + d*n**4 + 5/3*n**5 + 1/3*n**3 - 2/3*n**2 + 0*n = 0.
-1, 0, 2/5
Let r(x) = -11*x**3 - 17*x**2 - 37*x - 22. Let g(y) = -5*y**3 - 9*y**2 - 19*y - 11. Let o(b) = -9*g(b) + 4*r(b). Solve o(w) = 0.
-11, -1
Let n = -204 - -207. Let y be 36/30 + 4/(-5). Suppose -8/5*s - y*s**2 + 2/5 + 8/5*s**n = 0. C