0*y + y**2 + 0.
y**2*(y - 1)**2*(y + 2)/2
Suppose 5 = -2*s - 3, -5*s = 5*g - 1680. Suppose -16*l - g*l**4 + 334*l**4 - 32*l**3 - 16*l - 6 - 52*l**2 = 0. What is l?
-3, -1, -1/3
Find p, given that -144/5*p**4 - 219/5*p**3 + 12*p**2 + 108*p**5 - 6/5 + 21/5*p = 0.
-1/2, -2/5, 1/3, 1/2
Suppose -z = 2*z - 9. Factor -12*d**3 + 4*d**2 + 26 + z*d**5 + 9*d - 20 - 10*d**2.
3*(d - 2)*(d - 1)*(d + 1)**3
Let f(o) = -o**3 + 13*o**2 - 12*o + 3. Let x be f(12). Find t such that -9*t**3 + 12*t**2 + 14*t**3 - 16*t**2 - 8*t - 3*t**x + t**4 = 0.
-2, 0, 2
Let m(v) be the first derivative of 1/12*v**4 - 1/6*v**2 + 0*v + 1/3*v**3 - 14 - 1/5*v**5. Factor m(n).
-n*(n - 1)*(n + 1)*(3*n - 1)/3
Let g(d) be the first derivative of 1/180*d**6 + 0*d**5 - 1/12*d**4 + 5/3*d**3 + 0*d**2 + 0*d + 5. Let u(w) be the third derivative of g(w). Factor u(z).
2*(z - 1)*(z + 1)
Let v(f) = 7*f - 4. Let p be v(2). Let z be p/50 + (-28)/(-10). Factor 0*o**2 + 3/4 - 3/2*o - 3/4*o**4 + 3/2*o**z.
-3*(o - 1)**3*(o + 1)/4
Let n(q) be the first derivative of -q**5/5 + q**4/3 + 2*q**3/3 - 2*q**2 - 9*q - 9. Let r(v) be the first derivative of n(v). Factor r(h).
-4*(h - 1)**2*(h + 1)
Let g be (-11*15/(-770) - 2/(-7))*6. Find b such that -72/7*b + 16/7 + 18/7*b**g - 4/7*b**2 = 0.
-2, 2/9, 2
Let r(u) be the first derivative of u**7/252 + u**6/60 + u**5/40 + u**4/72 - 3*u - 19. Let d(g) be the first derivative of r(g). Factor d(s).
s**2*(s + 1)**3/6
Suppose -3*v - 13 = -4*s, -s - 3*v + 11 = s. Suppose 2*m + 16 = 4*g, -2*g - s = 3*m - m. Factor 2/3*p**4 - 8/3 + g*p**2 + 8/3*p - 8/3*p**3.
2*(p - 2)**2*(p - 1)*(p + 1)/3
Factor -1/10*i**3 + 0 + 1/10*i**2 + 1/10*i - 1/10*i**4.
-i*(i - 1)*(i + 1)**2/10
Let z = 5893 + -29463/5. Let 6/5*b**3 + 6/5*b**2 + 2/5*b**4 + 0 + z*b = 0. What is b?
-1, 0
Let x = 4/3 + -1. Let c = -46/129 + 218/129. Solve n**2 + x*n**3 + 0*n - c = 0 for n.
-2, 1
Let f(i) = 3*i**2 - 14 - 1 - 10*i - 8*i. Let u(k) = 1. Let p(g) = -f(g) + 6*u(g). Factor p(d).
-3*(d - 7)*(d + 1)
Let s = -1141/20 + 229/4. Let m = 79/345 + -2/69. Factor m*o - s*o**2 + 0.
-o*(o - 1)/5
Let t(l) be the third derivative of -7*l**6/480 - l**5/30 + l**4/8 + 66*l**2. Factor t(c).
-c*(c + 2)*(7*c - 6)/4
Factor 1/2*m**5 + 1/2*m**2 + m + 0 - 3/2*m**3 - 1/2*m**4.
m*(m - 2)*(m - 1)*(m + 1)**2/2
Let j(g) be the first derivative of g**5/5 + 2*g**4 - 19*g**3/3 + 5*g**2 + 145. Determine r so that j(r) = 0.
-10, 0, 1
Let q(y) be the first derivative of 0*y + 0*y**2 + 1/18*y**4 - 9 + 2/9*y**3. Determine j so that q(j) = 0.
-3, 0
Find u, given that 1/4*u**3 + 43/2*u**2 - 968 + 440*u = 0.
-44, 2
Determine t so that 2/7 - 4/7*t - 6/7*t**2 = 0.
-1, 1/3
Let b(d) be the third derivative of 1/120*d**6 + 1/6*d**3 + 0*d + 29*d**2 - 1/672*d**8 - 1/48*d**4 - 1/30*d**5 + 0 + 1/210*d**7. Determine a so that b(a) = 0.
-1, 1, 2
Let d(w) be the second derivative of 2*w**6/15 - w**4/3 + 2*w + 75. Factor d(a).
4*a**2*(a - 1)*(a + 1)
Let r(t) = 130*t**3 - 175*t**2 - 280*t + 5. Let i(o) = -o**4 + 65*o**3 - 89*o**2 - 140*o + 3. Let x(y) = 5*i(y) - 3*r(y). Solve x(b) = 0 for b.
-14, -1, 0, 2
Let c(p) be the second derivative of -2/15*p**3 + 1/75*p**6 + 0*p**2 - 5*p + 0 + 1/25*p**5 - 1/30*p**4. Suppose c(m) = 0. Calculate m.
-2, -1, 0, 1
Let x(j) = -j**2 - 9*j - 14. Let v be x(-6). Factor -4*q**4 + 3*q**2 - 4*q**v + 5*q**4.
-3*q**2*(q - 1)*(q + 1)
Let c(u) = -2*u + 38. Let s be c(12). Suppose s*l - 1 = 13*l. Factor l + 3/2*x + 1/2*x**2.
(x + 1)*(x + 2)/2
Let i(w) = 2*w**2 - 9*w + 3. Let z be i(8). Let m be (-1)/(-4) + z/4. What is h in -m*h**2 - 8*h + 2*h + 0*h**3 - 9*h**3 = 0?
-1, -2/3, 0
Factor -102 + 201/2*y + 3/2*y**2.
3*(y - 1)*(y + 68)/2
Suppose -5*p = -17 + 32. Let q(y) = -5*y**3 - 21*y**2 - 147*y - 339. Let w(f) = 4*f**3 + 21*f**2 + 147*f + 340. Let j(h) = p*q(h) - 4*w(h). Factor j(m).
-(m + 7)**3
Let s = 22989/96100 + 3/3844. Factor s*w**3 - 16/25*w**2 + 0 + 8/25*w.
2*w*(w - 2)*(3*w - 2)/25
Let t(f) be the first derivative of f**6/2 + 3*f**5/5 - 9*f**4/2 - 4*f**3 + 12*f**2 + 327. Solve t(a) = 0.
-2, 0, 1, 2
Let i be 204/(-510) - (-2)/5. Let u(j) be the second derivative of -3/4*j**3 + 1/8*j**4 + i - 7*j + 0*j**2. Solve u(n) = 0 for n.
0, 3
Let k be (2/4)/((-760)/(-608)). Factor 2/5*j**4 - 2/5*j**5 + 0 + k*j**3 + 0*j - 2/5*j**2.
-2*j**2*(j - 1)**2*(j + 1)/5
Let s be (7 + -6)*0/1. Factor 4*z - 4 + 3*z**4 + s*z**4 + 2*z**4 + 14*z**3 + 19*z**2 - 2*z**4.
(z + 1)*(z + 2)**2*(3*z - 1)
Factor -46*b**3 - b + b + 4*b**2 - 7*b**2 + 47*b**3.
b**2*(b - 3)
Let j(m) = -10*m - 52. Let d(k) = -k**2 - 20*k - 106. Let o(g) = 2*d(g) - 5*j(g). Let o(h) = 0. What is h?
-3, 8
Suppose -130*p = -238 - 282. Solve -46/3*i - p - 14/3*i**2 = 0.
-3, -2/7
Find m such that 17*m**3 - 93 - 276*m**2 - 3 - 40*m**3 - 82*m**3 - 276*m + 3*m**5 - 6*m**4 = 0.
-2, -1, 8
Suppose -350 = 11*z + 3*z. Let g be z/(-5)*(-14)/(-35). Find u such that 0 - 2/5*u**g - 8/5*u = 0.
-4, 0
Factor 0 + 240*c**3 + 0*c - 12*c**4 + 1/5*c**5 - 1600*c**2.
c**2*(c - 20)**3/5
Let g(l) = 6*l**3 - 81*l**2 + 45*l - 78. Let d be g(13). What is t in 2/15 + d*t**2 + 4/15*t**3 - 4/15*t - 2/15*t**4 = 0?
-1, 1
Let f(r) be the second derivative of r**6/120 - r**5/16 + r**4/6 - r**3/6 + 36*r. Factor f(p).
p*(p - 2)**2*(p - 1)/4
Let c = 340 + -2372/7. Let v be 244/(-112) + (3 - 5/20). Let c*f**3 + 0*f**4 - 4/7*f**5 + 0*f**2 - v*f + 0 = 0. Calculate f.
-1, 0, 1
Let k(b) be the third derivative of b**6/60 - 7*b**5/30 + 5*b**4/4 - 3*b**3 + 146*b**2. Factor k(j).
2*(j - 3)**2*(j - 1)
Let t be 412/104 + -4*1. Let x = 107/78 + t. Determine u so that x*u + 0 + 2/3*u**2 = 0.
-2, 0
Let m(b) be the third derivative of -b**7/70 + 3*b**5/10 + b**4 + 3*b**3/2 + 3*b**2 - 3. Factor m(y).
-3*(y - 3)*(y + 1)**3
Let l = 329/478 + -45/239. Factor 10*g + 8 + 4*g**2 + l*g**3.
(g + 2)**2*(g + 4)/2
Let r(q) = 10*q + 112. Let w be r(-11). Suppose -5*a + 4*a = -2*c - 12, 25 = -5*c. Factor -1 + 2*v**w - 5 - 4*v**4 - 3*v**3 + 3*v + 7*v**a + v**4.
-3*(v - 1)**2*(v + 1)*(v + 2)
Factor 0*b**2 + 2*b**2 + 3*b**2 - 3*b**3 - 2*b**2.
-3*b**2*(b - 1)
Let v(s) be the first derivative of s**6/24 + s**5/4 + 3*s**4/16 - 3*s**3/4 + 74. Factor v(f).
f**2*(f - 1)*(f + 3)**2/4
Let v(g) be the second derivative of 7*g**6/5 - 107*g**5/20 + 103*g**4/18 + 2*g**3/9 - 4*g**2 - 38*g - 1. Let v(t) = 0. Calculate t.
-2/7, 2/3, 3/2
Let z(i) = -i**3 + 11*i**2 + 10*i + 37. Let r be z(12). Suppose 0 = -11*x - r + 46. Let 0*y + 3/2*y**2 + 0 - 3/2*y**x = 0. Calculate y.
0, 1
Let t(u) be the second derivative of -u**5/90 + u**4/9 + 25*u**3/27 + 2*u**2 - 124*u. Let t(r) = 0. What is r?
-2, -1, 9
Let n(r) be the second derivative of r**4/6 + 18*r**3 + 729*r**2 - 2*r + 3. Factor n(d).
2*(d + 27)**2
What is r in -6*r**4 - 36/5*r**3 + 0 - 8/5*r**2 + 0*r - 7/5*r**5 = 0?
-2, -2/7, 0
Suppose 0 = 2*m + 3*m - 75. Let j be ((-3)/2)/(m/(-40)). Solve 2*g - 4*g**2 - 6*g**3 + 2*g + 10*g**3 - j*g**2 = 0.
0, 1
Let a(g) be the second derivative of 2*g**7/7 + 28*g**6/15 + 14*g**5/5 - 8*g**4/3 - 34*g**3/3 - 12*g**2 + g - 9. Find r such that a(r) = 0.
-3, -1, -2/3, 1
Let 5*y**2 + 611*y**4 + 2*y + 4*y**2 - 7*y**2 - 613*y**4 - 2*y**3 = 0. What is y?
-1, 0, 1
Let z be -2 - -8 - (-1 - -5). Find v such that 0*v - 4/3*v**z + 49/3*v**5 - 77/3*v**4 + 32/3*v**3 + 0 = 0.
0, 2/7, 1
Let a = 655 + -649. Let p(j) be the second derivative of 0*j**5 - 7*j + 0*j**3 - 1/15*j**a + 1/3*j**4 + 0 - j**2. Factor p(g).
-2*(g - 1)**2*(g + 1)**2
Let l(k) be the second derivative of k**2 - 1/4*k**4 + 4*k + 1/20*k**5 + 0 + 1/30*k**6 - 1/6*k**3. Suppose l(g) = 0. What is g?
-2, -1, 1
Let h(f) be the third derivative of -f**6/1440 + f**5/720 + f**4/36 - f**3/6 - 549*f**2. Suppose h(j) = 0. What is j?
-3, 2
Let y be (-2)/24*40/(-15). Let n = 185 + -1661/9. Factor -10/9*q - n - y*q**3 - 8/9*q**2.
-2*(q + 1)**2*(q + 2)/9
Let v = -813 - -1228. Let c = v + -3727/9. Let -2/9*x**5 + 8/9*x + 0 - c*x**4 - 2/3*x**3 + 8/9*x**2 = 0. Calculate x.
-2, -1, 0, 1
Let k(c) be the third derivative of -c**8/2016 - c**7/420 + c**6/180 + 2*c**5/45 - 4*c**3/9 + 168*c**2. Suppose k(a) = 0. What is a?
-2, 1, 2
Suppose 27*g = 29*g. Let x(o) be the second derivative of -1/40*o**5 + 1/12*o**4 - 1/30*o**6 + 1/84*o**7 + 0*o**3 + 5*o + g + 0*o**2. Solve x(k) = 0 for k.
-1, 0, 1, 2
Let d(t) be the first derivative of t**4 + 0*t + 14*t**2 + 32/3*t**3 - 46