of -2/3*y**3 - 1/15*y**6 + k + 0*y**4 + 1/5*y**5 + y + y**2. Factor w(h).
-2*(h - 1)**3*(h + 1)
What is w in 3*w**4 + 2*w**2 + 2*w**3 - w**2 - 4*w**4 + 2*w**4 = 0?
-1, 0
Solve -2/7*t**2 + 2/7*t**4 + 0*t + 0 + 0*t**3 = 0.
-1, 0, 1
Suppose 0 = -2*v - 43 - 21. Let d = v + 290/9. Factor d*f**2 + 4/9 + 2/3*f.
2*(f + 1)*(f + 2)/9
Let h(u) be the second derivative of -2*u**6/105 + u**5/35 + u**4/21 - 2*u**3/21 + 24*u. Find f such that h(f) = 0.
-1, 0, 1
Let f = 278 + -278. Determine n so that -4/5*n**3 - 2/5*n**4 + f*n + 0 - 2/5*n**2 = 0.
-1, 0
Suppose -4*q + q - 15 = 0, -5*g + 4*q = -40. Let w(a) = -a**2 + 4*a + 5. Let p be w(4). Factor 2/5*m**p + 4*m**2 + 2*m + 2*m**g + 2/5 + 4*m**3.
2*(m + 1)**5/5
Suppose 10/3*s - 8/3*s**2 + 2/3*s**3 - 4/3 = 0. What is s?
1, 2
Let y(i) = -2*i**4 - 15*i**3 - 15*i**2 - 2*i - 3. Let r(t) = t**4 + 15*t**3 + 15*t**2 + t + 4. Let v(x) = 3*r(x) + 4*y(x). Factor v(a).
-5*a*(a + 1)**3
Let q = 2948/7 - 420. Suppose 2/7*r**4 + 12/7*r**2 + 2/7 + 8/7*r**3 + q*r = 0. What is r?
-1
Suppose 2*r + 12*u = 8*u + 10, 5 = 2*r - u. What is k in 0 - 14/3*k**2 - 4/3*k - 2/3*k**5 - 6*k**r - 10/3*k**4 = 0?
-2, -1, 0
Let n(y) be the first derivative of 32*y**6/3 + 176*y**5/5 + 43*y**4 + 73*y**3/3 + 7*y**2 + y - 8. Solve n(r) = 0.
-1, -1/4
Let a(t) = t. Let u be a(3). Suppose -2*v = k - 12, 4*v = 2*k - 7*k + 30. Determine y so that 2*y**3 - y**3 + y**4 - y**5 - u*y**2 + 2*y**k = 0.
-1, 0, 1
Let r be 1/1*-1*-5. Suppose 2*z**2 + 10*z**2 - 18 - 3*z**2 + 16*z + r*z = 0. Calculate z.
-3, 2/3
Let t(g) = -g**4 + g**2. Let y(i) = -i**4 - 8*i**3 + 15*i**2 - 8*i + 2. Let k(l) = -3*t(l) + y(l). Let k(w) = 0. Calculate w.
1
Factor -5 - 3 - 4*x + 4*x**2 + 4 + 4*x**3.
4*(x - 1)*(x + 1)**2
Let i(v) be the third derivative of -3*v**8/1960 + 11*v**7/2940 - v**6/630 + 2*v**3/3 - 4*v**2. Let h(l) be the first derivative of i(l). Factor h(r).
-2*r**2*(r - 1)*(9*r - 2)/7
Let g(s) be the first derivative of -s**6/120 - s**5/60 + s**4/24 + s**3/6 + s**2 + 3. Let p(j) be the second derivative of g(j). Factor p(x).
-(x - 1)*(x + 1)**2
Let r(b) be the third derivative of 0 + 1/10*b**6 - 1/2*b**4 + 4/3*b**3 + 4*b**2 - 2/105*b**7 - 1/15*b**5 + 0*b. Determine t, given that r(t) = 0.
-1, 1, 2
Let b be (10/(-42))/(105/(-126)). Factor -10/7*q**2 - b - 12/7*q.
-2*(q + 1)*(5*q + 1)/7
Let t be 258/8 + (6 - 6). Let m = t + -32. Factor 1/4*f**5 + m*f**2 + 0*f + 0 - 1/4*f**3 - 1/4*f**4.
f**2*(f - 1)**2*(f + 1)/4
Find t such that 16/11*t + 2/11 + 32/11*t**2 = 0.
-1/4
Let w(d) = -6*d**2 - d + 7. Let j(x) = x**2 - 1. Let q(b) = 5*j(b) + w(b). Solve q(z) = 0.
-2, 1
Let y be 15/(-40)*4/(-3). Factor 0*f**3 + 0 + 1/4*f**5 + 1/2*f**2 - 1/4*f - y*f**4.
f*(f - 1)**3*(f + 1)/4
Let w be (2/28)/(10/35). Factor 0*q - 1/4 + w*q**2.
(q - 1)*(q + 1)/4
Let v(u) = 1 - u**3 - u - u**4 - 4*u**2 + 4*u**2. Let p(l) = l**5 + 7*l**4 + 5*l**3 - l**2 + 6*l - 6. Let a(d) = p(d) + 6*v(d). Factor a(j).
j**2*(j - 1)*(j + 1)**2
Factor -12/5*u**2 + 12/5 - 4/5*u + 4/5*u**3.
4*(u - 3)*(u - 1)*(u + 1)/5
Let k(o) be the second derivative of o**4/4 - o**3/2 - 18*o. Factor k(j).
3*j*(j - 1)
Factor -15 - n**4 + 13 + 3*n**2 - 32*n**3 + n + 31*n**3.
-(n - 1)**2*(n + 1)*(n + 2)
Factor -4*z**3 + 9*z**5 + 7*z**4 - 6*z**4 + 7*z**4 - 13*z**5.
-4*z**3*(z - 1)**2
Let m(o) = o**3 + o**2 + 2*o. Let z(h) = -h**3 - 2*h**2 - 5*h. Let v(x) = 5*m(x) + 2*z(x). Let v(d) = 0. What is d?
-1/3, 0
Let w(z) be the third derivative of z**8/1848 - 4*z**7/1155 + z**6/132 - z**5/165 - 3*z**2 + 6*z. Solve w(p) = 0.
0, 1, 2
Let f = 289/7 - 41. Factor f*g**2 - 4/7*g + 2/7.
2*(g - 1)**2/7
Let v(a) be the third derivative of 1/140*a**7 + 0*a - 1/120*a**5 + 4*a**2 + 0*a**3 - 1/120*a**6 + 0*a**4 + 0. Solve v(n) = 0.
-1/3, 0, 1
Let i(t) = -15*t**2 - 6*t. Let m(d) = -2*d**2 - d. Let q(r) = 4*i(r) - 27*m(r). Factor q(c).
-3*c*(2*c - 1)
Let g(x) be the first derivative of -5*x**6/6 + 8*x**5/3 - 35*x**4/12 + 10*x**3/9 + 8. Factor g(h).
-5*h**2*(h - 1)**2*(3*h - 2)/3
Let s(t) be the first derivative of -1/2*t**2 + 3/4*t**4 - 1/3*t**6 + 0*t - 2 + 1/3*t**3 - 1/5*t**5. Let s(h) = 0. What is h?
-1, 0, 1/2, 1
Let n = 14 + -17. Let w(r) = 24*r**4 - 59*r**3 + 36*r**2 - 6*r - 5. Let a(p) = 12*p**4 - 30*p**3 + 18*p**2 - 3*p - 3. Let u(h) = n*w(h) + 5*a(h). Factor u(y).
-3*y*(y - 1)**2*(4*y - 1)
Let f(l) be the third derivative of l**6/300 - 2*l**5/75 + l**4/12 - 2*l**3/15 + 14*l**2. Factor f(p).
2*(p - 2)*(p - 1)**2/5
Suppose 0 = 2*o - o - u, 5*u + 14 = -2*o. Let v be 33/45 - o/(-6). Find i such that 2/5*i**3 + 0 - v*i**2 - 2/5*i + 2/5*i**4 = 0.
-1, 0, 1
Solve -3/7*q**2 + 12/7 - 3/7*q**3 + 12/7*q = 0.
-2, -1, 2
Let q = -284294/29267 + -2/4181. Let z = 335/28 + q. Determine y, given that -z*y + 1/2 + 7/4*y**2 = 0.
2/7, 1
Let f be -8 + (15 - (2 + 3)). Factor -1/4*t**3 - f*t + 1 + 5/4*t**2.
-(t - 2)**2*(t - 1)/4
Let k(q) be the third derivative of -q**8/6720 - q**7/560 - q**6/120 + q**5/12 - 4*q**2. Let s(u) be the third derivative of k(u). Factor s(y).
-3*(y + 1)*(y + 2)
Let a = 65 + -49. Let m(c) be the first derivative of -4*c**3 - a*c + 1/2*c**4 + 1 + 12*c**2. Factor m(k).
2*(k - 2)**3
Let s(n) be the third derivative of -n**5/12 + 5*n**4/12 - 23*n**2. Factor s(t).
-5*t*(t - 2)
Let k be 664/12 - 2/(-3). Let w = k + -276/5. Factor 0*v**2 - 2/5*v**5 - 2/5*v + w*v**3 + 0 + 0*v**4.
-2*v*(v - 1)**2*(v + 1)**2/5
Let w(h) be the third derivative of -h**7/840 - h**6/120 - h**5/48 - h**4/48 - 2*h**2. Solve w(x) = 0.
-2, -1, 0
Let w(g) = 2*g - 4*g - 23 + 23. Let p(v) = -v**2. Let j(i) = -2*p(i) + w(i). Factor j(u).
2*u*(u - 1)
Let d(x) = -4*x**3 - 5*x**2 - x - 5. Let i(r) = 12*r**3 + 16*r**2 + 4*r + 16. Let o(t) = -16*d(t) - 5*i(t). Factor o(h).
4*h*(h - 1)*(h + 1)
Let r = -11/12 + 101/84. Factor 0*i + 0 + 0*i**2 + r*i**3.
2*i**3/7
Factor h**2 + h**4 - 5*h**2 + 1 + 2*h**2.
(h - 1)**2*(h + 1)**2
Let h(w) be the second derivative of w**4/3 - 4*w**3/3 - 6*w**2 - 26*w. Factor h(k).
4*(k - 3)*(k + 1)
Let j(w) be the second derivative of w**4/42 + w**3/21 + 13*w. Determine k so that j(k) = 0.
-1, 0
Let a(c) be the third derivative of -1/504*c**8 + 0*c**3 + 0*c**4 + 0*c + 2/315*c**7 + 0 - 1/180*c**6 + 0*c**5 - 3*c**2. Solve a(f) = 0.
0, 1
Suppose 19*h = 8*h. Factor h - 2/5*f**2 - 4/5*f.
-2*f*(f + 2)/5
Let t(x) = -2*x - 9. Let m be t(-6). Factor m*n**4 - 6*n**3 - 6*n**2 + 4*n + 3*n**4 + 0*n**4 - 2*n**4.
2*n*(n - 2)*(n + 1)*(2*n - 1)
Factor -3*l**3 - 2*l**2 - 54 + 5*l**4 + 54.
l**2*(l - 1)*(5*l + 2)
Suppose -m + 18 = 2*m. Let v(z) = z - 4. Let h be v(m). Factor -3*b**4 - 2*b**3 - b**4 - b**h + 3*b**4.
-b**2*(b + 1)**2
Suppose -6 = -4*y - 58. Let r be (-24)/(-10) - (y + 15). What is m in -2/5*m**4 - 7/5*m**3 + 7/5*m**5 + r*m**2 + 0 + 0*m = 0?
-1, 0, 2/7, 1
Let c(j) be the second derivative of j**7/7560 - j**6/2160 + j**4/2 + 5*j. Let w(k) be the third derivative of c(k). Find i such that w(i) = 0.
0, 1
Let b = 5 + -3. Let l(n) be the first derivative of 1/3*n**3 + b*n - 1 + 3/2*n**2. Let l(j) = 0. What is j?
-2, -1
Let j(n) = -21*n**2 + 11*n + 45. Let o(k) = -5*k**2 + 3*k + 11. Let b(c) = -6*j(c) + 26*o(c). Factor b(m).
-4*(m - 4)*(m + 1)
What is t in 36*t**3 - 15*t**4 - 2*t**2 - 260*t + 266*t - 25*t**2 = 0?
0, 2/5, 1
Factor 8/3 + 4*n + 4/3*n**2.
4*(n + 1)*(n + 2)/3
Let j(r) be the third derivative of -r**8/84 - 4*r**7/35 - 4*r**6/15 + 2*r**5/15 + 3*r**4/2 + 8*r**3/3 + 3*r**2. Factor j(o).
-4*(o - 1)*(o + 1)**3*(o + 4)
Suppose -12 = -2*n - 8. Factor 0 - 9/4*j**3 - j - 3*j**n.
-j*(3*j + 2)**2/4
Factor 0*m + 3/8*m**4 + 0*m**2 - 3/8*m**3 + 0.
3*m**3*(m - 1)/8
Let w(h) = 19*h + 135. Let m be w(-7). Factor 2*v**3 + 0 + 0*v + 8/5*v**4 + 2/5*v**5 + 4/5*v**m.
2*v**2*(v + 1)**2*(v + 2)/5
Let n(m) be the second derivative of -1/50*m**5 + 4*m + 0*m**4 - 1/75*m**6 + 0*m**2 + 0 + 0*m**3. Suppose n(w) = 0. What is w?
-1, 0
Let h(g) be the first derivative of 0*g + 4/5*g**5 - 6 + 4*g**3 - 3*g**4 - 2*g**2. Factor h(w).
4*w*(w - 1)**3
Let r(p) be the second derivative of p**7/8820 - p**6/2520 - p**4/6 + 3*p. Let z(m) be the third derivative of r(m). Factor z(n).
2*n*(n - 1)/7
Let t = 102 + -508/5. Factor 0 + 2/5*a**4 + 0*a**3 - t*a**2 + 0*a.
2*a**2*(a - 1)*(a + 1)/5
Factor -4/15 - 2/15*n**3 + 2/15*n + 4/15*n**2.
-2*(n - 2)*(n - 1)*(n + 1)/15
Factor 4*g**2 + 4*g**3 - 8 + 15 - 7.
4*g**2*(g + 1)
Let