ate w.
0, 1, 2
What is z in -4/3*z - 2/3*z**2 + 2/3*z**4 + 0 + 4/3*z**3 = 0?
-2, -1, 0, 1
Suppose 28 = 3*j - 2. Let i be (-8)/j*70/(-28). Find s such that 6/7*s**3 + 4/7*s**i + 0*s + 0 - 2/7*s**5 + 0*s**4 = 0.
-1, 0, 2
Let g(d) be the second derivative of -d**7/490 + d**6/70 - d**5/28 + d**4/28 + 21*d**2 - d. Let z(u) be the first derivative of g(u). Factor z(h).
-3*h*(h - 2)*(h - 1)**2/7
Let y(t) be the third derivative of t**8/90720 - t**7/22680 - 11*t**5/60 - 8*t**2. Let u(h) be the third derivative of y(h). Factor u(o).
2*o*(o - 1)/9
Let z(w) = -8*w**4 + 7*w**2 + 3*w - 5. Let r(a) = -18*a**4 + 15*a**2 + 7*a - 11. Let k(p) = 3*r(p) - 7*z(p). Factor k(j).
2*(j - 1)**2*(j + 1)**2
Let c(q) be the first derivative of q**5/5 - 7*q**4/4 + 2*q**3 - 87. Factor c(y).
y**2*(y - 6)*(y - 1)
Let o be ((-4)/(-12))/((-2)/(-24)). Suppose -14 = 2*w + 4*l, l - 3*l - 22 = -o*w. Determine a so that -3 + w*a**2 - 13*a + 13*a = 0.
-1, 1
Let v(s) = 8*s**2 - 32*s + 37. Let b = 68 - 74. Let i(j) = 2*j**2 - 8*j + 9. Let x(c) = b*v(c) + 26*i(c). Factor x(l).
4*(l - 3)*(l - 1)
Let l(c) be the third derivative of -3*c**7/14 + 17*c**6/12 - 7*c**5/3 - 5*c**4/3 - 4*c**2 - 17*c. Factor l(s).
-5*s*(s - 2)**2*(9*s + 2)
Let i be (3 + 18/(-10))*540/2. Let z be (-1 - 3/(i/(-104)))*-6. Determine w, given that 4/9*w - z*w**2 + 0 - 4/9*w**3 + 2/9*w**4 = 0.
-1, 0, 1, 2
Let d(j) be the third derivative of 5*j**8/336 - 5*j**7/42 + 3*j**6/8 - 7*j**5/12 + 5*j**4/12 - 3*j**2 + 4. Let d(t) = 0. Calculate t.
0, 1, 2
Let k(q) be the second derivative of -q**4/12 + 17*q**3/30 + 6*q**2/5 - 25*q - 1. Factor k(l).
-(l - 4)*(5*l + 3)/5
Let s(y) be the third derivative of -2*y**7/105 - y**6/30 + y**5 - 23*y**4/6 + 20*y**3/3 - 122*y**2 + 1. Factor s(a).
-4*(a - 2)*(a - 1)**2*(a + 5)
Let u(q) = -3*q**2 + 24*q + 67. Let w(m) = -m**2 - 1. Suppose 9*b + 0 = 9. Let f(a) = b*u(a) - 5*w(a). Factor f(o).
2*(o + 6)**2
Let q be 19/30 + 0 + 0 - 19/(-114). Find i, given that 14/5*i**2 + 0 - q*i = 0.
0, 2/7
Let a(b) = 8*b**2 - 90*b - 2. Let y(d) = 34*d**2 - 359*d - 9. Let h(f) = -9*a(f) + 2*y(f). Factor h(m).
-4*m*(m - 23)
Suppose -4 = -a + p + 2, -9 = a + 4*p. Factor 2*j**3 + 3*j**5 + 5*j**3 - 6*j**5 - 4*j**a.
-3*j**3*(j - 1)*(j + 1)
Let i(a) = a. Let h be i(3). Suppose 3*s = h*n + 2 - 5, -27 = -5*s - 3*n. Factor -4*g + 0*g**2 + 0*g**3 + 4 + 6*g**s - 4*g**2 - 2*g**3.
4*(g - 1)**2*(g + 1)
Let h be (99/(-44))/((-9)/12). Factor 24*z**3 - z - 21*z + 2 - 71*z**h + 80*z**2 - 49*z**3.
-2*(3*z - 1)*(4*z - 1)**2
Suppose 22*l = 28*l. Let n(r) be the second derivative of l + 0*r**4 - 3/50*r**5 + 6*r - 1/50*r**6 + 0*r**3 + 0*r**2. Factor n(i).
-3*i**3*(i + 2)/5
Suppose 0 = -f - 3*v + 6 - 2, 5*v - 4 = -f. Let y(r) be the second derivative of 9/20*r**5 + 3*r + 1/2*r**3 - 3/4*r**f - 1/10*r**6 + 0*r**2 + 0. Solve y(p) = 0.
0, 1
Let j be 0 + 1/(-1) + 10/(-32). Let s = 3/16 - j. Solve 0*i**2 + 3*i - 3*i**3 - 3/2 + s*i**4 = 0.
-1, 1
Let g(v) = -2*v - 130. Let z be g(-65). Let j(a) be the first derivative of 8 + z*a + 0*a**2 - 1/18*a**3 + 1/24*a**4. Factor j(d).
d**2*(d - 1)/6
Suppose -2*k + 5*c - 20 = 0, -4*k + 2*c = -0*k + 8. Factor 3*x**3 + 15*x + k*x**3 + 2*x**3 + 20*x**2.
5*x*(x + 1)*(x + 3)
Let z = 831/8 + -5777/56. Factor -l - z*l**2 - 3/7 - 1/7*l**3.
-(l + 1)**2*(l + 3)/7
Factor -24/5*n**4 - 48/5*n**2 + 0 - 52/5*n**3 - 16/5*n - 4/5*n**5.
-4*n*(n + 1)**2*(n + 2)**2/5
Let r(d) be the second derivative of -d**5/70 - 5*d**4/21 - d**3 + 16*d - 3. Solve r(v) = 0 for v.
-7, -3, 0
Let c(s) be the first derivative of s**6/45 + s**5/10 + s**4/6 + s**3/9 - 19*s - 39. Let g(l) be the first derivative of c(l). Factor g(n).
2*n*(n + 1)**3/3
What is h in 2/13*h**3 - 8/13*h + 8/13 - 2/13*h**2 = 0?
-2, 1, 2
Let y(a) be the third derivative of -a**9/1260 + a**8/2240 + a**7/210 - a**6/240 - 7*a**4/24 + 19*a**2. Let q(m) be the second derivative of y(m). Factor q(k).
-3*k*(k - 1)*(k + 1)*(4*k - 1)
Let z(x) be the third derivative of x**5/15 + 7*x**4/6 - 12*x**3 - x**2 - 10*x. What is f in z(f) = 0?
-9, 2
Let v = -4132 + 297509/72. Let z(a) be the second derivative of 1/252*a**7 + 1/180*a**6 + 0 + 3*a - 1/18*a**3 + 0*a**2 - 1/40*a**5 - v*a**4. Factor z(d).
d*(d - 2)*(d + 1)**3/6
Let y = 61421/35833 - -1/5119. Let -4/7*q**3 + 0 + 0*q - y*q**2 = 0. What is q?
-3, 0
Let g(c) be the third derivative of -1/70*c**7 + 0*c - 3/20*c**5 - 1/10*c**6 + 0*c**3 + 11*c**2 + 0 + 0*c**4. Factor g(l).
-3*l**2*(l + 1)*(l + 3)
Let -423/5*c - 3/5*c**2 + 426/5 = 0. What is c?
-142, 1
Suppose 29/3*z + 20/3 - 1/6*z**3 + 17/6*z**2 = 0. What is z?
-2, -1, 20
Suppose -m + 20 = 5*o, 18*m + 8 = 2*o + 19*m. Factor -9/5*h**2 + 0 + 6/5*h**3 + 0*h + 3/5*h**o.
3*h**2*(h - 1)*(h + 3)/5
Let t = -3 + 3. Let a be (6 + t/1)/2. Determine j, given that 8/5*j - 8/5*j**2 + 0 + 2/5*j**a = 0.
0, 2
Let h(q) = -q**3 + 7*q**2 - 8*q + 15. Let n be 10 + (0 + -3 - 1). Let t be h(n). Factor -3*l**5 - 2*l**3 + 0*l**t + 9*l**4 - 4*l**3.
-3*l**3*(l - 2)*(l - 1)
Suppose -3*t = 4*h - 10, 3*h = 2*t - 5*t + 15. Factor t - 192*n**2 + 3*n - 3*n + 190*n**2 + 8*n.
-2*(n - 5)*(n + 1)
Let f = 829/12 - 69. Let s(m) be the third derivative of 0 - m**2 + 1/120*m**6 + 1/20*m**5 + f*m**4 + 0*m**3 + 0*m. Suppose s(v) = 0. Calculate v.
-2, -1, 0
Let p(i) be the second derivative of -i**5/50 - 53*i**4/30 - 40*i**3/3 - 196*i**2/5 + 2*i - 51. What is x in p(x) = 0?
-49, -2
Let j be (14 - 13)*(4 + -1). Let -36*m + 8*m**j - 20*m**2 + 2*m**3 + 5*m**4 - 4*m = 0. What is m?
-2, 0, 2
Solve 4886*v + 4*v**5 + 84*v**4 + 1164*v**2 - 3950*v + 457*v**3 + 43*v**3 = 0 for v.
-13, -3, -2, 0
Let w be 7 + 203/(-30) + 4/(-30). Let m(n) be the third derivative of 0*n - w*n**5 - 2/3*n**3 - 5*n**2 + 0 + 7/12*n**4. Factor m(h).
-2*(h - 2)*(3*h - 1)
Suppose 0 = 2*z + z. Let d be (-1)/1*15/(-30). Factor d*h**3 + 0 - h**2 + z*h.
h**2*(h - 2)/2
Let x = -339/10 + 34. Let p = x - -1/10. Determine a so that -p*a**2 - 3/5*a - 2/5 = 0.
-2, -1
Let o be 2/(-4*(-2)/16). Suppose 0 = -h + 3*w + 3, 5*w = o*h - 3*h - 3. Solve r**3 - 4*r**3 + 0*r**3 + h*r = 0.
-1, 0, 1
Suppose g = -11*g + 4*g. Let z be (3 - g)/(1 - (-3 - -2)). Suppose 0 - z*w**2 + 9/4*w + 1/4*w**3 = 0. What is w?
0, 3
Let q be -1 - (0 + -2 - 4). Suppose 0 = -4*g - 3*y + 30, y - 11 + 3 = -g. Let 19*v + g*v**2 - 70 - 2*v**2 - q*v + 76 = 0. What is v?
-3, -1/2
Let w(g) = g**5 + g**4 + 3*g**3 - 5*g**2 - 2*g. Let t(f) = -f**5 - f**3 + 2*f**2 + f. Let a(y) = 2*t(y) + w(y). Factor a(o).
-o**2*(o - 1)**2*(o + 1)
Let d(q) be the second derivative of q**7/210 - 7*q**6/150 + 11*q**5/100 + 19*q**4/60 - 2*q**3 + 18*q**2/5 - q + 286. Find v such that d(v) = 0.
-2, 1, 2, 3
Find p, given that -62/5*p + 2*p**5 + 4/5*p**4 - 12/5 - 12*p**3 - 104/5*p**2 = 0.
-1, -2/5, 3
Let o be (-11)/((-49)/(-7) + -8). Let q be -1*2/o - 42/(-110). Determine t, given that 0 - 1/5*t**5 + 0*t**4 + 0*t**2 + 2/5*t**3 - q*t = 0.
-1, 0, 1
Let l(x) = -x + 9. Let s be l(7). Find t such that -8*t - 4*t**5 + 4*t**s + 7*t**3 + 20*t**4 + 15*t**2 + 9*t**2 - 43*t**3 = 0.
0, 1, 2
Let p = 1620 + -1620. Let i(o) be the second derivative of -1/35*o**5 + 0*o**2 + 1/147*o**7 - 14*o + 0*o**4 + 1/21*o**3 + p + 0*o**6. Let i(q) = 0. What is q?
-1, 0, 1
Let r be 2*-2*11/(-22). Factor x**2 + x - 2*x**r + 9 - x**3 - 8.
-(x - 1)*(x + 1)**2
Suppose 69*k - 101 = 16 + 159. What is m in 12/7*m**2 + 0 - 27/7*m**3 + 0*m - 3/7*m**5 + 18/7*m**k = 0?
0, 1, 4
Factor 60/19*c + 208/19 + 2/19*c**2.
2*(c + 4)*(c + 26)/19
Let n(c) be the first derivative of 12 + 5/4*c**2 - 5/8*c**4 + 0*c + 0*c**3. Factor n(f).
-5*f*(f - 1)*(f + 1)/2
Suppose -5*q + 6 = -14. Let l(o) be the second derivative of 4*o - 2*o**3 + 0 + q*o**2 + 0*o**4 + 1/5*o**5. Factor l(b).
4*(b - 1)**2*(b + 2)
Suppose k + 0*k + 8 = 0. Let x(h) = h**3 + 8*h**2 - 2*h - 4. Let a be x(k). Factor -2 - 16 - 7*y**2 + 0*y**2 - a*y + 5*y**2.
-2*(y + 3)**2
Let 77*z**4 - 2*z**2 - 16*z + 10*z**3 + 0*z - 75*z**4 - 2*z**5 - 8 = 0. Calculate z.
-1, 2
Suppose 7*o + 0 + 1/4*o**3 + 11/4*o**2 = 0. Calculate o.
-7, -4, 0
Suppose -73 - 89 = -27*g. Let r(s) be the third derivative of -1/40*s**g + s**2 + 1/20*s**5 + 0*s + 0*s**3 + 1/8*s**4 - 1/70*s**7 + 0. Let r(f) = 0. What is f?
-1, 0, 1
Let p(w) be the third derivative of -w**7/50 + 9*w**6/200 + 117*w**5/100 + 71*w**4/40 - 3*w**3 - 224*w**2. Suppose p(l) = 0. Calcul