6/7*d**2 + 8/7 + 90/7*d**3 = 0.
-1, -2/5, -2/9
Let y(b) be the first derivative of -1/14*b**4 + 2/7*b**3 - 4/7*b + 4 - 2/35*b**5 + 1/7*b**2. Suppose y(l) = 0. What is l?
-2, -1, 1
Let a(f) be the second derivative of f**4/3 - 8*f**3/3 + 16*f. Factor a(m).
4*m*(m - 4)
Determine u, given that -15/7*u - 12/7*u**2 - 3/7 = 0.
-1, -1/4
Let n = -6 + 27/4. Suppose 9/4*k + 0 + n*k**2 = 0. What is k?
-3, 0
Suppose 0 - 2/5*s**2 + 2/5*s**4 + 2/5*s - 2/5*s**3 = 0. What is s?
-1, 0, 1
Let p = -397 - -397. Factor p*c + 2/5*c**2 + 0 + 1/5*c**3.
c**2*(c + 2)/5
Let z be 2/5*-2*2/(-4). Factor z*r**2 - 2/5 + 0*r.
2*(r - 1)*(r + 1)/5
Find x, given that -6/5 + 8/5*x - 2/5*x**2 = 0.
1, 3
Let l(u) be the third derivative of 0 + u**2 - 1/100*u**5 + 0*u**3 - 1/40*u**4 + 0*u. Factor l(z).
-3*z*(z + 1)/5
Let z(b) be the first derivative of -b**7/4200 + b**5/200 - b**4/60 - b**3/3 + 3. Let u(n) be the third derivative of z(n). Solve u(k) = 0.
-2, 1
Solve 3/2*y**2 + 6 + 6*y = 0.
-2
Factor -6*z + 3*z - 2*z + z - 2*z**3 + 6*z**2.
-2*z*(z - 2)*(z - 1)
Let l(s) be the second derivative of 1/6*s**3 - 1/4*s**4 + 2*s + 0 + 0*s**2. Find m, given that l(m) = 0.
0, 1/3
Let f(d) be the second derivative of 7*d**7/5 - 77*d**6/25 + 48*d**5/25 - 2*d**4/5 - 3*d. Factor f(z).
6*z**2*(z - 1)*(7*z - 2)**2/5
Let h(f) = f**2 + 7*f + 4. Let u be h(-7). Factor 0*g**2 + 0 - 2/5*g + 4/5*g**u + 6/5*g**3.
2*g*(g + 1)**2*(2*g - 1)/5
Let k(m) be the third derivative of -m**2 + 0*m - 1/180*m**6 + 1/1008*m**8 - 1/315*m**7 + 0 + 1/72*m**4 + 1/45*m**5 - 1/9*m**3. Find q such that k(q) = 0.
-1, 1, 2
Let v(c) be the first derivative of c**3/6 - 2*c**2 + 7*c/2 + 2. Factor v(o).
(o - 7)*(o - 1)/2
Let i = -844/1479 - -8/51. Let n = 56/145 - i. Factor -2/5*u + 2/5*u**3 + n*u**2 - 4/5.
2*(u - 1)*(u + 1)*(u + 2)/5
Let b(a) be the third derivative of -a**5/30 + 7*a**4/24 + 2*a**3/3 + 5*a**2. Determine r so that b(r) = 0.
-1/2, 4
Let i(q) be the first derivative of -q**4/4 + 3*q**3 + 25. Factor i(y).
-y**2*(y - 9)
Let t(g) = -g**3 + 4*g**2 - g - 1. Let c be t(3). Factor p - 6 + c*p + 15*p**3 + 24*p**2 - 3*p.
3*(p + 1)**2*(5*p - 2)
Solve -2/3*k**3 + 2 + 2/3*k**2 + 10/3*k = 0.
-1, 3
Let t(x) = x**2 + 4*x + 2. Let n be t(-4). Suppose 10 = j + 2*j - k, -5*k = 5*j + 10. Determine g, given that -7*g - 2*g**n - j + 3*g + 0 = 0.
-1
Let j be 3 - 56/(-30)*(-24)/16. Let f(c) be the first derivative of 0*c + 1 - 2/15*c**3 - 1/10*c**4 + j*c**2 + 2/25*c**5. Factor f(y).
2*y*(y - 1)**2*(y + 1)/5
Let g(v) be the first derivative of v**4/18 + v**3/9 + 2*v + 1. Let u(k) be the first derivative of g(k). Solve u(a) = 0 for a.
-1, 0
Let j(c) be the second derivative of -c**6/15 + c**5/10 - 6*c. Factor j(u).
-2*u**3*(u - 1)
Let j(m) = m**2 + m - 1. Suppose 0 = 2*u + u + 18. Let g(d) = -9*d**2 - 3*d + 6. Let o(v) = u*j(v) - g(v). Determine p so that o(p) = 0.
0, 1
Let z(m) = -5*m**2 - 14*m + 6. Let v(j) = 70*j**2 + 195*j - 85. Let k(i) = 6*v(i) + 85*z(i). Find g, given that k(g) = 0.
-4, 0
Let t(u) = 90*u**2 + 81*u - 51. Let n(d) = -9*d**2 - 8*d + 5. Let h(q) = 21*n(q) + 2*t(q). Factor h(m).
-3*(m + 1)*(3*m - 1)
Let k(i) be the third derivative of -i**10/45360 - i**9/11340 - i**8/10080 - i**4/12 + 4*i**2. Let g(m) be the second derivative of k(m). Factor g(b).
-2*b**3*(b + 1)**2/3
Let w = -332 + 334. Factor u - 1/2 - 1/2*u**w.
-(u - 1)**2/2
Suppose l = -2 + 6. Let v = -929/20 + 236/5. Solve 1/4*m**3 + v*m**l - 9/4*m**2 + 3/4*m + 1/2 = 0 for m.
-2, -1/3, 1
Suppose -1 = -3*n - 7, 14 = 2*f - 5*n. Let o(m) be the third derivative of 0 + 0*m**4 + 0*m**6 + 0*m + 2*m**f + 1/105*m**7 + 0*m**3 + 0*m**5. Factor o(s).
2*s**4
Let w(a) = 9*a**2 - 4*a - 2. Let y(z) = -1 - 35*z**2 + 16*z - 2 + 10 + 1. Let o(l) = 22*w(l) + 6*y(l). Factor o(t).
-4*(t - 1)*(3*t + 1)
Factor 5*n - 5*n - n + 6*n**2 - n.
2*n*(3*n - 1)
Let z(j) be the third derivative of -j**8/90720 - j**7/11340 - j**6/3240 + j**5/15 - 5*j**2. Let t(o) be the third derivative of z(o). Factor t(q).
-2*(q + 1)**2/9
Let c(a) be the second derivative of a**5/45 - 5*a**4/27 + 14*a**3/27 - 2*a**2/3 + 3*a - 8. Factor c(f).
4*(f - 3)*(f - 1)**2/9
Let a(b) = 10*b**2 + 1165*b + 6610. Let g(l) = -l**2 - 106*l - 601. Let y(d) = -4*a(d) - 45*g(d). Determine v, given that y(v) = 0.
-11
Let y be (-2)/3 - (-11)/3. Determine u, given that -13 - 2*u**y + 9 + 0*u**3 - 10*u - 8*u**2 = 0.
-2, -1
What is u in 0 + 0*u - 4/11*u**4 + 2/11*u**5 + 4/11*u**2 - 2/11*u**3 = 0?
-1, 0, 1, 2
Let j(n) = 2*n + 11. Let r be j(9). Let h = r + -57/2. Solve 1/2*p**3 + 0 - p**2 + h*p = 0.
0, 1
Factor -2/5*v**2 - 2/5*v**3 + 0 + 0*v + 2/5*v**4 + 2/5*v**5.
2*v**2*(v - 1)*(v + 1)**2/5
Let p(w) be the second derivative of -w**6/80 - 3*w**5/80 + w**3/8 + 3*w**2/16 + 33*w. Suppose p(v) = 0. Calculate v.
-1, 1
Let a(h) be the second derivative of -h**5/4 - 5*h**4/4 - 5*h**3/2 - 5*h**2/2 + 9*h. Determine i so that a(i) = 0.
-1
Let i(v) be the third derivative of -v**8/43680 + v**6/4680 - v**4/12 - 2*v**2. Let y(u) be the second derivative of i(u). Factor y(g).
-2*g*(g - 1)*(g + 1)/13
Let d(t) be the first derivative of 1/18*t**4 - 2/27*t**3 + 0*t + 0*t**2 - 3. Solve d(h) = 0.
0, 1
Factor -x**5 - 124 + 124.
-x**5
Let h(k) = -k**3 - 30*k**2 - 34*k - 141. Let y be h(-29). Let 1/2*r**y - r**2 + 1/2 - 1/2*r**5 - 1/2*r + r**3 = 0. What is r?
-1, 1
Let p(t) be the third derivative of -t**5/12 + 5*t**4/4 + 35*t**3/6 + 3*t**2. Factor p(o).
-5*(o - 7)*(o + 1)
Suppose 0*t = 6*t - 30. Let i(k) be the second derivative of -1/25*k**6 + 0*k**2 - 1/105*k**7 - 1/30*k**4 - 3/50*k**t + 3*k + 0*k**3 + 0. Solve i(a) = 0 for a.
-1, 0
Let d be (-90)/210 + (-31)/(-7). Suppose 6*o - 2 + 3*o**3 - 13/2*o**2 - 1/2*o**d = 0. What is o?
1, 2
Let h(d) be the first derivative of d**4/6 + 8*d**3/27 - 13*d**2/9 + 4*d/3 + 1. Suppose h(c) = 0. Calculate c.
-3, 2/3, 1
Let a(c) be the third derivative of -c**8/336 + c**6/60 - c**4/24 + 8*c**2. Determine p, given that a(p) = 0.
-1, 0, 1
Let x(l) be the second derivative of l - 1/30*l**4 + 1/15*l**3 + 0 + 0*l**2. Determine k, given that x(k) = 0.
0, 1
Let n(o) = o + 13. Let f be n(-7). Suppose -f*b - 15 = -11*b. Determine a, given that 2/9*a**2 - 2/9*a**4 + 0*a**b + 0*a + 0 = 0.
-1, 0, 1
Let j be 14/4 + (4 - 4). Let o(a) be the first derivative of 4/3*a**3 - j*a**4 + 7*a**2 - 4*a + 2. Factor o(b).
-2*(b - 1)*(b + 1)*(7*b - 2)
Let r be (1/9)/((-6)/(-27)). Let s(c) be the second derivative of 0 + 1/8*c**4 + c - 1/12*c**3 - r*c**2. Factor s(k).
(k - 1)*(3*k + 2)/2
Find n such that -1/2*n**2 + 0 + 2*n = 0.
0, 4
Let s be 85/42 - (7 + (-7 - -2)). Let o(g) be the third derivative of 0 - 1/210*g**5 - 1/21*g**3 + 0*g - 3*g**2 - s*g**4. Suppose o(z) = 0. What is z?
-1
Suppose -10*y**3 + 7*y**2 - 3*y**2 - 5*y + 0*y**2 + 11*y**2 = 0. What is y?
0, 1/2, 1
Let i(n) be the first derivative of 1/4*n**4 + 2 - 3/2*n**2 + 3*n + 0*n**3. Let a(o) be the first derivative of i(o). Factor a(p).
3*(p - 1)*(p + 1)
Factor 0 + 1/3*x**3 - 2/3*x**2 + 0*x + 1/3*x**4.
x**2*(x - 1)*(x + 2)/3
Let s(i) be the first derivative of -2*i**5/65 - i**4/26 + 4*i**3/39 - 2. Factor s(f).
-2*f**2*(f - 1)*(f + 2)/13
Let y be 4/(-12)*(-12 + 3). Let o(z) be the first derivative of -2/27*z**y + 0*z - 1/18*z**4 + 3 + 0*z**2. Suppose o(s) = 0. What is s?
-1, 0
Let c(d) be the third derivative of d**6/200 - 3*d**5/25 + 9*d**4/8 - 5*d**3 - 25*d**2. Suppose c(x) = 0. What is x?
2, 5
Let s(t) = 2*t**4 - 3*t**3 - 2*t**2 - 3*t. Let i(u) = -u**4 + 4*u**3 + 3*u**2 + 2*u. Let x(o) = -3*i(o) - 2*s(o). Factor x(z).
-z**2*(z + 1)*(z + 5)
Let m be 12/(-4) - 0/(-2). Let z be 1 + m/(-1*3). Factor 3*j + z*j - 6*j + j**3.
j*(j - 1)*(j + 1)
Let d = -1 - -4. Suppose s - 7 = -d*m, -2*m + 5*m = -3*s + 9. What is w in -8/5*w**4 - 3*w**3 + 0 + 8/5*w**m + 16/5*w**5 - 1/5*w = 0?
-1, 0, 1/4, 1
Suppose 0 = -2*g - 0*g - 56. Let x be 1/(-3) - g/12. Let -5*b**2 + 5*b**2 + 2*b**x = 0. Calculate b.
0
Let b = -12 - -17. Let d(t) be the first derivative of 2/3*t**3 - t + 2 + 1/2*t**4 - 1/5*t**b - 1/6*t**6 - 1/2*t**2. Factor d(m).
-(m - 1)**2*(m + 1)**3
Let t = 0 + 2. Suppose 10 = 5*s, -2*f = -6*f + 3*s - t. Solve 17*v**5 - f - 23*v**2 - v**5 + 24*v**4 + 0 - 7*v**3 - 9*v = 0 for v.
-1, -1/4, 1
Let -2/3*y**3 + 0*y**2 + 0 + 0*y = 0. Calculate y.
0
Suppose -2*f + 6 = 0, -2*u - 8 = -0*u - 4*f. Suppose 2*q + 2 = q