**2*(3*o - 1)/11
Let a(u) = u**3 - 6*u**2 + 6*u - 1. Let z be a(5). Suppose -z*g = 6 - 14. Find n such that -g*n - n**2 + n - 2*n + 4*n + 2 = 0.
-1, 2
Suppose 3*x + 3 = 3*g, -2*g + 1 = 4*x - 1. Factor -2/3*o**2 + x + 2/3*o**3 + 0*o.
2*o**2*(o - 1)/3
Let p(t) be the first derivative of -t + 2 - 3/2*t**2 - 2/3*t**3. Factor p(m).
-(m + 1)*(2*m + 1)
Let l be 6 + -24*(-18)/(-84). Determine t so that l*t**4 + 0*t + 2/7*t**5 + 8/7 - 2*t**2 - 2/7*t**3 = 0.
-2, -1, 1
Let m(c) be the third derivative of 0*c - 1/180*c**5 - 1/360*c**6 + 1/630*c**7 + 4*c**2 + 1/72*c**4 + 0 + 0*c**3. Factor m(k).
k*(k - 1)**2*(k + 1)/3
Let y(t) be the third derivative of t**8/672 - t**6/240 - 6*t**2. Factor y(l).
l**3*(l - 1)*(l + 1)/2
Let z be (-2)/(62/(-4) - 17/34). Let v(s) be the third derivative of -3/4*s**3 - z*s**4 + s**2 - 1/120*s**5 + 0 + 0*s. Find d such that v(d) = 0.
-3
Let a(p) = 3*p**2 - 9*p - 7. Let s(g) = 8*g**2 - 26*g - 20. Let h(m) = 14*a(m) - 5*s(m). Suppose h(t) = 0. What is t?
-1
Let c = -4750/21 + 2545/12. Let o = c + 104/7. Factor 1/4*v**3 + 1/4 + 3/4*v**2 + o*v.
(v + 1)**3/4
Suppose 19 = 2*t - 3*b, -3*b - 14 = -5*t + 11. Suppose t*i - 9 = -i. Factor -u**4 + 2*u**5 - u**2 + u + 4*u**4 - 5*u**i - 2*u**4 + 2*u**3.
u*(u - 1)*(u + 1)**2*(2*u - 1)
Suppose 3*u = -2*u + 15. Factor -g**3 - 4*g**u - 2 - 6*g**2 + 3*g**3 - 6*g.
-2*(g + 1)**3
Factor -4/11*i + 2/11*i**2 + 0.
2*i*(i - 2)/11
Let o(w) = -4*w**5 + 8*w**4 - 13*w**3 + 10*w**2 - 8*w + 4. Let z(i) = i**5 - i**4 + i**3 + i - 1. Let b(f) = o(f) + 3*z(f). Solve b(n) = 0.
1
Determine b, given that 0 - 412*b**3 - 484/3*b**4 - 16*b**5 + 100/3*b - 20*b**2 = 0.
-5, -1/3, 0, 1/4
Let c(k) be the third derivative of k**5/20 - k**4/8 - k**3 - 38*k**2. Factor c(z).
3*(z - 2)*(z + 1)
Let m(t) be the second derivative of t**6/6 - 3*t**5/2 + 5*t**4 - 25*t**3/3 + 15*t**2/2 - t. Factor m(q).
5*(q - 3)*(q - 1)**3
Let q(j) be the first derivative of 28*j**3/3 - 20*j**2 + 12*j + 17. Suppose q(z) = 0. Calculate z.
3/7, 1
Let t(k) = k**2 - 3*k + 2. Let u be t(3). Factor -3*c**2 - c + 0 - c**5 - u - 3*c**4 + 2*c**3 + c**4 + 7*c**2.
-(c - 1)**2*(c + 1)**2*(c + 2)
Let x = 7 - 167/24. Let w(n) be the second derivative of 0*n**2 + x*n**4 + 1/80*n**5 + 0*n**3 + 0 - 1/15*n**6 + 3*n + 5/168*n**7. Solve w(k) = 0 for k.
-2/5, 0, 1
Suppose -6*c = -7*c + 3. Factor -8*f**4 + c*f**5 - 3*f**3 + 3*f**3 + 5*f**4.
3*f**4*(f - 1)
Let i(t) be the third derivative of t**10/37800 - t**8/5040 - 2*t**5/15 - 10*t**2. Let l(h) be the third derivative of i(h). Let l(p) = 0. Calculate p.
-1, 0, 1
Let q(c) be the first derivative of 343*c**6/30 + 931*c**5/40 + 77*c**4/4 + 25*c**3/3 + 2*c**2 - 2*c + 2. Let v(s) be the first derivative of q(s). Factor v(k).
(2*k + 1)*(7*k + 2)**3/2
Solve -1 + g**4 + 4*g**4 + 9*g**2 - 1 - g + 13*g**3 = 0 for g.
-1, 2/5
Let l(x) be the second derivative of x**4 + 14*x**3/3 - 12*x**2 + 5*x. Determine j so that l(j) = 0.
-3, 2/3
Suppose -3*w = 3*m + 14 + 7, -m = -2*w - 20. Let i(j) = -j**2 - 9*j + 2. Let o be i(w). Factor 0*p**3 + 0*p - 2*p**3 + o*p.
-2*p*(p - 1)*(p + 1)
Let p(x) be the second derivative of 0 - 1/35*x**7 + 2/75*x**6 + 2*x + 3/50*x**5 + 0*x**2 + 0*x**3 - 1/15*x**4. What is u in p(u) = 0?
-1, 0, 2/3, 1
Let l be 8/20 - 82/5. Let d be 3/(-12) + (-12)/l. Factor 0*u**2 + d*u**3 - 3/2*u + 1.
(u - 1)**2*(u + 2)/2
Factor 4/3*o**2 + 0 - 1/3*o + 4/3*o**4 - 1/3*o**5 - 2*o**3.
-o*(o - 1)**4/3
Let b(i) = i**5 + i**4 - i**3 + i + 1. Let d(r) = 4*r**5 - 4*r**4 - 4*r**3 + 6*r**2 + 2*r + 2. Let c(z) = -2*b(z) + d(z). Factor c(k).
2*k**2*(k - 3)*(k - 1)*(k + 1)
Let o be 1 - (-1 - -3) - -5. Suppose -h = -o*h. Factor -1/2*y**2 + h*y + 1/2.
-(y - 1)*(y + 1)/2
Let z(q) be the third derivative of -q**5/15 + q**4/6 - 9*q**2. Factor z(p).
-4*p*(p - 1)
Suppose 18*w - 6 + 21*w**4 - 24*w**2 + 9*w + 9*w**2 - 27*w**3 = 0. Calculate w.
-1, 2/7, 1
Let i = -24 - -44. Suppose 12 - 26*b + 3*b**2 - i*b + 11*b**2 = 0. What is b?
2/7, 3
Let z(w) be the second derivative of -3*w**6/40 + 33*w**5/80 - 19*w**4/48 + w**3/8 - 8*w. Let z(v) = 0. Calculate v.
0, 1/3, 3
Suppose s = -0*u - 3*u + 68, -3*s = -u + 6. Let r be (45/u - 1)/2. Determine v so that 38/7*v**4 + 0 + 2/7*v**2 + 2*v**5 - r*v + 30/7*v**3 = 0.
-1, 0, 2/7
Let j(a) be the third derivative of 4*a**2 + 0 + 0*a + 1/60*a**5 + 1/360*a**6 + 1/36*a**4 + 0*a**3. Determine k so that j(k) = 0.
-2, -1, 0
Factor -11*y**3 - 15*y**3 + 3*y - 18*y + y**3 + 5*y**4 + 35*y**2.
5*y*(y - 3)*(y - 1)**2
Let x(b) be the second derivative of -1/6*b**2 - 1/24*b**4 + 0 + 1/180*b**6 - 3*b - 1/120*b**5 + 5/36*b**3. Determine u so that x(u) = 0.
-2, 1
Suppose 0 = -v + 8 - 4. Solve -1/4*x**v - 1/4*x + 1/2*x**2 - 1/4*x**5 + 1/2*x**3 - 1/4 = 0 for x.
-1, 1
Let v(b) be the first derivative of 5*b**4/4 - 15*b**2/2 + 10*b - 1. Factor v(y).
5*(y - 1)**2*(y + 2)
Let w(l) be the first derivative of -1/5*l**4 + 2/15*l**6 + 4/25*l**5 + 6 - 4/15*l**3 + 0*l + 0*l**2. Factor w(s).
4*s**2*(s - 1)*(s + 1)**2/5
Let h be (-6)/8 + (-18)/72 - -1. Determine b, given that 1/2*b - 1/2*b**3 - 1/2*b**4 + 1/2*b**2 + h = 0.
-1, 0, 1
Let a = 144 + -144. Factor 4/7*p**3 + 26/7*p**4 + 6*p**5 + a + 0*p + 0*p**2.
2*p**3*(3*p + 1)*(7*p + 2)/7
Let m = -368 - -372. Solve 0 + 2*o**3 + 2/3*o**m + 2*o**2 + 2/3*o = 0.
-1, 0
Let u(r) = -r**4 - r**3 - r**2 + r + 2. Let b(y) = -6*y**4 - 5*y**3 - 4*y**2 + 5*y + 10. Let t(s) = -2*b(s) + 11*u(s). Suppose t(h) = 0. What is h?
-1, 1, 2
Let s(z) be the second derivative of 1/14*z**2 + 1/14*z**3 + 0 - 1/70*z**5 - 5*z + 1/42*z**4 - 1/294*z**7 - 1/70*z**6. Factor s(t).
-(t - 1)*(t + 1)**4/7
Factor 58/7*d**2 + 36/7 + 2/7*d**4 - 18/7*d**3 - 78/7*d.
2*(d - 3)**2*(d - 2)*(d - 1)/7
Let b(d) be the third derivative of d**10/151200 - d**9/60480 - d**5/20 + 2*d**2. Let a(q) be the third derivative of b(q). Factor a(o).
o**3*(o - 1)
Let v(b) be the first derivative of -3*b**4 - 7*b**3 + 15*b**2/2 + 18*b - 38. Factor v(c).
-3*(c - 1)*(c + 2)*(4*c + 3)
Let x(g) be the second derivative of -g**5/130 - 12*g - 2. Find u, given that x(u) = 0.
0
Let r(y) be the second derivative of y**7/70 + y**6/10 + 27*y**5/100 + 7*y**4/20 + y**3/5 - 4*y. Factor r(a).
3*a*(a + 1)**3*(a + 2)/5
Let q(p) be the third derivative of -p**6/15 - p**5/30 + p**4/3 + p**3/3 - 7*p**2. Factor q(l).
-2*(l - 1)*(l + 1)*(4*l + 1)
What is l in l**5 + 10*l**4 - l**5 - 4*l**4 - 3*l**5 - 3*l**3 = 0?
0, 1
Let r(j) be the first derivative of 2 - 3/2*j**2 + 21*j**3 - 6*j. Factor r(p).
3*(3*p - 1)*(7*p + 2)
Solve -1/2*g + 0 - 1/2*g**5 - 3*g**3 - 2*g**4 - 2*g**2 = 0 for g.
-1, 0
Let r be (2/(-6))/((-12)/8). Suppose 0 = 3*n - 0*n - u - 10, -2*u = -n - 5. Factor 8/9*o**4 - 2/9*o + 0 + 8/9*o**2 - 4/3*o**3 - r*o**n.
-2*o*(o - 1)**4/9
Let r(o) = o**3 - 2*o**2 - 2*o + 2. Let x(l) = 4*l**3 - 8*l**2 - 9*l + 9. Let k(q) = -9*r(q) + 2*x(q). Find h, given that k(h) = 0.
0, 2
Let q(y) be the second derivative of -y**5/15 + y**4/3 - 2*y**3/3 + 2*y**2/3 - 15*y. Determine m, given that q(m) = 0.
1
Let l be (12/20 + 0)*5. Factor 0*j - 3*j + 10 + l*j**3 + 9*j**2 - 19.
3*(j - 1)*(j + 1)*(j + 3)
Let r be 2/(-15)*(-10)/8. Let n(o) be the first derivative of r*o**2 + 1/9*o**3 + 0*o - 2. Factor n(s).
s*(s + 1)/3
Suppose -o - 9 = -4*o. What is n in 2 + 17*n - 11*n + o*n**2 - 10 - 1 = 0?
-3, 1
Let t be 14/2 - 5 - -1. Let j(d) be the first derivative of d - d**2 + 1/3*d**t + 4. Factor j(n).
(n - 1)**2
Let f(i) be the third derivative of -i**4/24 - i**2. Let o be f(-4). Find d, given that 0*d**2 + 1/5*d**5 - 2/5*d**3 + 0 + 0*d**o + 1/5*d = 0.
-1, 0, 1
Let v(o) = o + 0*o + o - 3*o. Let c be v(-2). Suppose -2/7 - 2/7*u**c - 4/7*u = 0. What is u?
-1
Let v(b) be the second derivative of 1/120*b**5 + 0*b**2 - 1/120*b**6 + 1/12*b**4 - 2*b - 2/3*b**3 + 0. Let d(m) be the second derivative of v(m). Factor d(k).
-(k - 1)*(3*k + 2)
Let m(p) be the second derivative of 1/20*p**5 + 0*p**4 - 2*p + 0*p**3 + 0 + 0*p**2. Determine h so that m(h) = 0.
0
Suppose -4*u - 11 = -3*u. Let w = 13 + u. Suppose 0*o + 0 + 2/9*o**w = 0. What is o?
0
Let l = 449 + -1345/3. Solve l*x**2 + 2/9 - 2/3*x - 2/9*x**3 = 0 for x.
1
Suppose -2*p + 4*i + 12 = 0, i = -4*i - 10. Let o(j) be the first derivative of -2*j**2 - p + 1/2*j**3 + 2*j. Factor o(r).
(r - 2)*(3*r - 2)/2
Let g = -3 + 4. Let a(x) = 3*x**3 + x**2 - 1. Let n be a(g). Su