0.
0, 2/9, 4
Let x(s) be the second derivative of 4*s - 2/27*s**4 + 0*s**2 - 1/27*s**3 + 0. Let x(b) = 0. What is b?
-1/4, 0
Factor 0 - 1/4*a**2 - 3/2*a.
-a*(a + 6)/4
Let w(g) be the third derivative of g**6/120 - g**5/30 - g**2. Let w(r) = 0. Calculate r.
0, 2
Let y(v) be the first derivative of -v**4/22 + 2*v**3/11 - 8*v/11 - 2. What is w in y(w) = 0?
-1, 2
Find k such that 6*k**2 + 2*k**2 + 4*k**3 + 2*k + 6*k - 4*k = 0.
-1, 0
Let t(g) be the first derivative of g**6/2 + 4*g**5/5 - g**4/2 - 4*g**3/3 - g**2/2 + 8. Factor t(n).
n*(n - 1)*(n + 1)**2*(3*n + 1)
Let m = 6 - 4. Determine k, given that -2 + 6*k**2 + 6*k**3 + 2*k - 5*k**4 - 5*k - 3*k**3 + k**m = 0.
-1, -2/5, 1
Let w(g) = g**3 - 16*g**2 + g - 14. Let v be w(16). Let 0 - h**v + 1/2*h = 0. Calculate h.
0, 1/2
Factor 3/5*l**2 + 0 - 3/5*l**4 - 6/5*l + 6/5*l**3.
-3*l*(l - 2)*(l - 1)*(l + 1)/5
Let z be 1/(5/(-24))*-5. Let a be (-24 + z)/(1*3). Factor 0*q**2 + 0 - 1/2*q**4 + a*q - q**3.
-q**3*(q + 2)/2
Let c(x) = -6*x**2. Let b = -10 + 3. Let a(r) = -5*r**2. Let o(v) = b*a(v) + 6*c(v). Factor o(u).
-u**2
Let z(a) be the first derivative of 1/12*a**6 + 0*a**2 - 1/6*a**3 + 3/8*a**4 - 3/10*a**5 + 1 + 0*a. Let z(w) = 0. What is w?
0, 1
Factor 4*i + 28/3*i**3 + 16*i**2 - 8/3.
4*(i + 1)**2*(7*i - 2)/3
Suppose 3*q = -5*z + 1, -3 = 2*z - 1. Let j(x) be the first derivative of 1/2*x + 1/4*x**q - 1/8*x**4 - 1/6*x**3 - 2. Factor j(n).
-(n - 1)*(n + 1)**2/2
Let u = -67 + 39. Let r be (-2)/6 - u/48. Let -1/4 - r*g**2 - 1/2*g = 0. What is g?
-1
Let f be ((-4 - -3) + 3)*1. Suppose -5*b = f*y - 10, -2*y = -5*b + 5 - 15. Factor -1/4*p**y - 1/4*p**3 + 0*p**2 + 1/2*p**4 + 0 + 0*p.
-p**3*(p - 1)**2/4
Let f(i) be the first derivative of -2*i**3 + 4*i**2 - 2*i + 7. Factor f(o).
-2*(o - 1)*(3*o - 1)
Let 4/5*c + 0*c**2 - 3/5*c**3 + 1/5*c**4 + 0 = 0. Calculate c.
-1, 0, 2
Let q(s) be the first derivative of -s**3/6 + s**2/2 - s/2 + 5. What is a in q(a) = 0?
1
Let l(s) be the first derivative of -s**5/10 + s**4/16 + s**3/6 - s**2/8 + 2. Factor l(k).
-k*(k - 1)*(k + 1)*(2*k - 1)/4
Determine s so that -101*s**2 + 5*s - 3*s + 2*s - s**3 + 104*s**2 = 0.
-1, 0, 4
Let c(u) = -u**2 + 7*u + 1. Let h be c(7). Let v(t) = -5*t**2 + 7*t - 6. Let j(o) = o**2 - o + 1. Let y(l) = h*v(l) + 6*j(l). Factor y(b).
b*(b + 1)
Let y(r) be the first derivative of r**6/1080 + r**5/180 + r**4/72 + 2*r**3/3 + 4. Let i(m) be the third derivative of y(m). Factor i(c).
(c + 1)**2/3
Let a(b) be the second derivative of -b**4/3 + 8*b**3/3 - 6*b**2 - 9*b. Suppose a(x) = 0. What is x?
1, 3
Let c = 2/35 + 29/105. What is b in -1/3*b - 1/3 + 1/3*b**3 + c*b**2 = 0?
-1, 1
Let u be ((-48)/360)/(12/10 + -2). Let m(w) be the first derivative of -1/2*w - 1/2*w**4 + 2 + u*w**3 + w**2. Factor m(a).
-(a - 1)*(a + 1)*(4*a - 1)/2
Solve 10 - 4*b**3 - 16*b**3 + 3*b**5 - 13*b**2 + 15*b + 2*b**5 + 3*b**2 = 0.
-1, 1, 2
Let w(c) be the third derivative of 5*c**8/336 - c**6/12 + 5*c**4/24 - c**2. Factor w(g).
5*g*(g - 1)**2*(g + 1)**2
Find a, given that -10/9*a**5 - 4/9*a - 2/3*a**4 + 14/9*a**3 + 0 + 2/3*a**2 = 0.
-1, 0, 2/5, 1
Let x(v) be the third derivative of v**6/40 - v**5/10 + v**4/8 + 4*v**2. Find m such that x(m) = 0.
0, 1
Let z(c) be the second derivative of -c**7/42 + c**6/10 - c**5/10 - c**4/6 + c**3/2 - c**2/2 + c + 20. Let z(o) = 0. Calculate o.
-1, 1
Factor 0 - 4/5*u + 2/5*u**3 - 2/5*u**2.
2*u*(u - 2)*(u + 1)/5
Let n(c) = -c**2 + 19*c + 20. Let d(v) = v**2 + v. Let j(t) = 6*d(t) + n(t). Factor j(a).
5*(a + 1)*(a + 4)
Suppose -d = -10 - 6. Let l be (6/(-4))/((-108)/d). Let l*h + 2/3*h**2 - 4/9 = 0. Calculate h.
-1, 2/3
Let w(j) be the first derivative of -20/3*j**3 + 8*j + 7 + 6*j**2. Solve w(i) = 0.
-2/5, 1
Suppose 3*x + 5*s = 27, s - 7 = -4*x + 4*s. Let h = -2 + x. Factor -2/7*m**h + 0 + 0*m.
-2*m**2/7
Suppose 0 = 4*h - 3*a + 3, 5*h - 4*a + 10 = a. Factor -4*i**2 + i**2 - 5*i**h - i**4 + 2*i**2 + 3*i**3.
-i**2*(i + 1)**2
Let d(t) be the second derivative of 7*t**6/15 - 8*t**5/5 - 17*t**4/6 + 2*t**3 - 20*t. Factor d(l).
2*l*(l - 3)*(l + 1)*(7*l - 2)
Suppose 46*o - 16*o = 120. Factor -2/9*f**o + 2/3*f**3 + 0 + 0*f**2 - 8/9*f.
-2*f*(f - 2)**2*(f + 1)/9
Let o(h) = -h**2 + 7*h + 1. Let d be o(5). Factor p**4 + d*p**2 + p**4 - 13*p**2.
2*p**2*(p - 1)*(p + 1)
What is l in -42*l - 144*l**2 - 52*l**3 + 150 + 94*l**3 - 3 - 3*l**4 = 0?
-1, 1, 7
Let u = 10 + -16. Let i(f) = f**2 + 5*f - 4. Let d be i(u). Determine t so that -3 + 2*t + d*t**2 + 3 = 0.
-1, 0
Let l(a) be the second derivative of -a**6/120 - 3*a**5/40 - a**4/4 + a**3/2 + a. Let x(p) be the second derivative of l(p). Suppose x(r) = 0. What is r?
-2, -1
Let u(h) = -2*h**2 + 3. Let l = -10 - -8. Let m(p) = p**2 - 2. Let t(z) = l*u(z) - 5*m(z). Solve t(x) = 0.
-2, 2
Let z(d) be the first derivative of d**4/4 - d**3/3 - d - 3. Let v(n) = 2*n**3 + n**2 + 1. Let p(c) = -v(c) - z(c). Factor p(i).
-3*i**3
Find j, given that 26/11*j**3 + 4/11*j**2 + 16/11 - 40/11*j - 2/11*j**4 - 4/11*j**5 = 0.
-2, 1/2, 1, 2
Factor -2 + 4*i**2 + 3 + 7*i - 3.
(i + 2)*(4*i - 1)
Let t = 0 - -4. Let w(k) = 6*k**3 + 42*k**2 + 48*k - 105. Let j(q) = -3*q**3 - 21*q**2 - 24*q + 52. Let c(s) = t*w(s) + 9*j(s). Factor c(z).
-3*(z - 1)*(z + 4)**2
Suppose -4*t = -0*t - 104. Let o = t - 103/4. Solve 0 - 1/4*h + o*h**2 = 0.
0, 1
Suppose 0 = 3*v + 2*s - 3*s + 4, 8 = -3*v + 2*s. Let n be 2*(-8)/(-20)*5. Factor -1/4*y**5 + 0 + 0*y + v*y**2 + 1/4*y**3 + 0*y**n.
-y**3*(y - 1)*(y + 1)/4
Let w(j) be the first derivative of -5*j**4/4 + 5*j**3 - 15*j**2/2 + 5*j + 10. Factor w(k).
-5*(k - 1)**3
Let f = -10963 - -55177/5. Let h = f + -72. Let 0 + 6/5*c**5 - 8/5*c**2 - 16/5*c**3 - h*c**4 + 0*c = 0. What is c?
-1, -2/3, 0, 2
Let d(j) = j**4 - 8*j**3 + 34*j**2 - 54*j + 29. Let v(z) = 5*z**4 - 39*z**3 + 169*z**2 - 270*z + 146. Let a(y) = -11*d(y) + 2*v(y). Factor a(n).
-(n - 3)**3*(n - 1)
Find j, given that 0 - 6/11*j**3 - 54/11*j + 36/11*j**2 = 0.
0, 3
Let r(c) be the first derivative of 1 - 1/3*c**3 + 0*c**2 + 0*c - 3/200*c**5 + 1/40*c**4 - 1/150*c**6. Let s(t) be the third derivative of r(t). Factor s(l).
-3*(l + 1)*(4*l - 1)/5
Let d(v) be the third derivative of -v**7/630 + v**6/360 + v**5/180 - v**4/72 + 3*v**2. Solve d(o) = 0.
-1, 0, 1
Suppose 4*a - 4*l - 25 = -5, 5*a - 21 = 3*l. Let w be ((-9)/3)/(a/(-2)). Suppose 0*n**3 - n**w + n**3 + 2*n**3 = 0. Calculate n.
0, 1/3
Let c be 198/(-30) + 7 - 8/(-5). Suppose 1/6 + 1/3*u + 1/6*u**c = 0. Calculate u.
-1
Let p = -1173 + 93841/80. Let m(r) be the third derivative of 0*r**3 - 1/40*r**5 + 0 + p*r**6 + 0*r + 1/48*r**4 - r**2 - 1/420*r**7. Factor m(l).
-l*(l - 1)**3/2
Let n(l) be the third derivative of -l**8/1344 + l**7/420 - l**5/120 + l**4/96 - 4*l**2. Solve n(m) = 0 for m.
-1, 0, 1
Let b(o) be the second derivative of -o**5/20 + o**4/12 + o**3/6 - o**2/2 - 16*o. Factor b(l).
-(l - 1)**2*(l + 1)
Let x = 172/249 - 2/83. Factor 2/9*s**4 + 0*s + 4/9*s**2 - x*s**3 + 0.
2*s**2*(s - 2)*(s - 1)/9
Factor 0*t - 2/7*t**2 - 6/7*t**3 - 6/7*t**4 - 2/7*t**5 + 0.
-2*t**2*(t + 1)**3/7
Factor 2*p + 8*p - 3*p**2 - 6 - p.
-3*(p - 2)*(p - 1)
Suppose -1/6 - 1/4*y - 1/12*y**2 = 0. What is y?
-2, -1
Let q be 33/20 - (-5)/(-4). Suppose 0 + q*a + 2/5*a**4 - 2/5*a**3 - 2/5*a**2 = 0. What is a?
-1, 0, 1
Let o be 3/(1 + 0) + 495/(-180). Factor 3/4*r + 1/4*r**3 + 3/4*r**2 + o.
(r + 1)**3/4
Let i(p) = 3*p**2 + 2*p - 2. Let d be i(-2). Let w be 154/84 + 1/d. Factor -6/5*z**w + 4/5*z**3 + 0*z + 2/5.
2*(z - 1)**2*(2*z + 1)/5
Let v(w) be the second derivative of -w**5/80 - w**4/48 + 3*w**3/8 + 9*w**2/8 + 52*w. Factor v(l).
-(l - 3)*(l + 1)*(l + 3)/4
Let q = -1 - -1. Factor 3*h - 6*h + 6*h**2 + q*h**3 - h**3 - 6*h.
-h*(h - 3)**2
Let x(f) = -7*f**2 - 40*f - 25. Let s be x(-5). Suppose 3/4*w + 3/4*w**2 + s = 0. What is w?
-1, 0
Let q(z) = -z**3. Let o(m) = -3*m**3 + 35*m**2 + 40*m. Let t(r) = o(r) + 2*q(r). Factor t(g).
-5*g*(g - 8)*(g + 1)
Factor -4*l - 3 + 13*l + 3*l - 15 - 2*l**2.
-2*(l - 3)**2
Factor 4/9*p**2 + 4/9 + 8/9*p.
4*(p + 1)**2/9
Solve 48*r - 17 + 180*r**2 + r**3 - 168*r**2 + 81 = 0.
-4
Let c = -152 + 208. Solve -46*s**3 + c*s**4 + 0 - 8/7*s + 88/7*s**2 = 0 for s.
0, 1/4, 2/7
Suppose -1/4 - 25/4*k**2 - 5/2*k = 0. Calculate k.
-1/5
Let m(g) be the second derivative of -g**9/15120 + g**8/6720 + g**7/2520 - g**6/720 + g**4/12 + g