*x**3 - 3/5*x**4 + 0*x**2 + 0.
-3*x*(x - 1)*(x + 2)**2/5
Factor -28/11*k - 98/11 - 2/11*k**2.
-2*(k + 7)**2/11
Let i(x) be the first derivative of 2*x**6/3 + 4*x**5/5 - 2*x**4 - 8*x**3/3 + 2*x**2 + 4*x - 14. Factor i(j).
4*(j - 1)**2*(j + 1)**3
Let j be (-13)/(-2) - 8/(-16). Solve 0*a**2 + 2*a**2 - 59*a**4 + a**2 - 28*a**3 - j*a**2 - 35*a**5 = 0 for a.
-1, -2/5, -2/7, 0
Let s(r) be the third derivative of 0*r**3 + 0 - 3*r**2 + 1/80*r**5 + 1/16*r**4 + 0*r. Factor s(j).
3*j*(j + 2)/4
Let w = 19 - 15. Suppose 2*y = w*i - 4, -3*i + 4 = -2*y + y. Determine g so that 19/3*g**3 - 4/3 - 55/3*g**4 + 25/3*g**5 + 23/3*g**i - 8/3*g = 0.
-2/5, 1
Let g(l) be the first derivative of 9 + 1/2*l - 1/12*l**3 - 1/8*l**2. Factor g(a).
-(a - 1)*(a + 2)/4
Let q(b) = 4*b**2 + 6*b + 2. Suppose -3*v + v = -h + 16, 0 = 2*h - v - 17. Let d(j) = 2*j**2 + 3*j + 1. Let f(a) = h*q(a) - 15*d(a). Factor f(n).
-3*(n + 1)*(2*n + 1)
Suppose 5*p = j - 7, -4*j = -2*j + 4*p. Suppose 0*v = -v - 3*o - 3, -v - 2 = 2*o. Factor v + 2*c**j + 1/2*c.
c*(4*c + 1)/2
Let q(z) be the third derivative of z**8/560 - z**7/140 - z**6/40 + z**5/10 + z**4/2 + 4*z**3/3 + 7*z**2. Let b(h) be the first derivative of q(h). Factor b(m).
3*(m - 2)**2*(m + 1)**2
Factor 1/6*l**4 + 0 - 1/6*l**2 - 1/3*l + 1/3*l**3.
l*(l - 1)*(l + 1)*(l + 2)/6
Let s(h) be the third derivative of h**8/1680 - 2*h**7/525 + h**6/120 - h**5/150 + 4*h**2. Factor s(z).
z**2*(z - 2)*(z - 1)**2/5
Find q, given that 1/5*q**2 + 4/5 - 4/5*q = 0.
2
Let g be (-6 + (1 - 1))/(-2). Suppose 0 = g*q, 2*i - 4*q - 34 = q. Let -25*c**4 + 4*c**2 - i*c**3 + 5*c - 8*c**3 - c = 0. What is c?
-1, -2/5, 0, 2/5
Let x(g) = 3*g**4 - 3*g**3 - 21*g**2 - 33*g - 24. Let a(l) = -l**3 + l - 1. Let p(z) = -6*a(z) + x(z). Factor p(j).
3*(j - 3)*(j + 1)**2*(j + 2)
Factor 0*m + 2/3*m**4 + 2*m**3 + 4/3*m**2 + 0.
2*m**2*(m + 1)*(m + 2)/3
Let b = -8/7 + 59/21. Find a such that -2/3*a**4 - a**2 - 1/3*a + b*a**3 + 1/3 = 0.
-1/2, 1
Factor -1/3*t - 1/3*t**2 + 0.
-t*(t + 1)/3
Suppose 0 = -x + 5*g + 4, 2*g - 20 = -5*x - 2*g. Determine z so that 1/4 + 0*z**3 + 0*z + 1/4*z**x - 1/2*z**2 = 0.
-1, 1
Factor 40*u**3 + 25*u**4 - 12*u**4 + 200*u**2 - 11*u**4.
2*u**2*(u + 10)**2
Let q be 45/5 - (-3 - -3). Let g be (-3)/q + (-2)/(-3). What is d in -1/3*d + g*d**2 + 1/3*d**3 - 1/3 = 0?
-1, 1
Let r(p) = 4*p**2 - 18*p + 10. Let v(j) = -8*j**2 + 37*j - 19. Let c(d) = 5*r(d) + 2*v(d). Factor c(z).
4*(z - 3)*(z - 1)
Factor -68/5*z - 16/5*z**4 + 0*z**3 + 4/5*z**5 + 24/5 + 56/5*z**2.
4*(z - 3)*(z - 1)**3*(z + 2)/5
Let d(k) be the second derivative of k**7/168 + k**6/60 - 3*k**5/80 - k**4/12 + k**3/6 - k. Factor d(p).
p*(p - 1)**2*(p + 2)**2/4
Let w(n) be the third derivative of n**6/420 - n**5/35 + 3*n**4/28 - 4*n**3/21 + 32*n**2. Solve w(c) = 0.
1, 4
Let a(j) be the second derivative of -j**4/9 + 10*j**3/9 - 8*j**2/3 - 18*j. Factor a(n).
-4*(n - 4)*(n - 1)/3
Let w(d) be the first derivative of 2*d**3/9 - 2*d**2/9 - 11. Factor w(x).
2*x*(3*x - 2)/9
Let t(l) be the third derivative of l**8/1680 - l**7/1050 - l**6/300 + l**5/150 + l**4/120 - l**3/30 - 8*l**2. Factor t(p).
(p - 1)**3*(p + 1)**2/5
Let w(m) be the first derivative of -2/3*m**3 + 2/5*m**5 - m**2 + 1/2*m**4 + 0*m - 3. Let w(i) = 0. What is i?
-1, 0, 1
Let n(f) = -f**3 + 20*f**2 - 38*f + 26. Let v(a) = -a**3 - a**2 + a - 1. Let s(o) = -n(o) - 2*v(o). Factor s(w).
3*(w - 2)**3
Suppose -2*t + 1 = -7. Factor 0*x**4 + 8*x**3 - 8*x**2 - x**t - 3*x**4 + 2*x**4.
-2*x**2*(x - 2)**2
Find r such that -6*r + 4 + 3*r**2 - 1/2*r**3 = 0.
2
Let h(i) = i**2 - 4*i + 4. Let u be h(4). Factor -4*z**2 + 2*z**u + 4 + 2 - 4.
2*(z - 1)**2*(z + 1)**2
Suppose 5 = -2*f + 7. Let g be (-6)/f*(-72)/162. Factor g*p - 4/3 + 1/3*p**3 - 5/3*p**2.
(p - 2)**2*(p - 1)/3
Let q(i) be the third derivative of -i**5/20 - i**4/4 - i**3/2 - i**2. Factor q(a).
-3*(a + 1)**2
Solve -3*j - 8 + 2*j**2 + 7*j + 2*j**2 + 0*j**2 = 0 for j.
-2, 1
Let u(d) be the third derivative of 0*d**3 + 0*d + 0 + 1/120*d**6 + 0*d**5 + d**2 - 1/72*d**4 + 1/315*d**7. Factor u(p).
p*(p + 1)**2*(2*p - 1)/3
Let g(w) = 18*w**3 - 24*w**2 - 15*w + 30. Let x(v) = v**4 + v + 1. Let z(u) = -g(u) + 3*x(u). Determine y so that z(y) = 0.
-1, 1, 3
Let v(h) be the third derivative of -h**6/120 + h**5/20 + h**4/6 + h**3/6 + 12*h**2. Let j be v(4). Find d such that -3/2*d + j - 9*d**2 - 4*d**3 = 0.
-2, -1/2, 1/4
Let w(i) be the third derivative of i**8/2688 + i**7/840 + i**6/960 + 21*i**2. Factor w(l).
l**3*(l + 1)**2/8
Let v = -16/3 - -35/6. Let b(z) be the second derivative of 0 - v*z**2 + z - 1/12*z**4 + 1/3*z**3. Let b(w) = 0. What is w?
1
Factor -8 + 8*s**2 - 6*s - 19*s + 5*s + 20*s**3.
4*(s - 1)*(s + 1)*(5*s + 2)
Let v(n) be the second derivative of -n**6/420 + n**5/70 - 4*n**3/21 - 5*n**2 - 3*n. Let f(w) be the first derivative of v(w). Factor f(x).
-2*(x - 2)**2*(x + 1)/7
Suppose 117*g = 113*g. Determine c, given that g + 3/7*c**2 - 3/7*c = 0.
0, 1
Let o(y) = -3*y**2 - 6*y - 8. Let r(q) = 3*q**2 + 6*q + 9. Let j(u) = 6*o(u) + 5*r(u). Find d such that j(d) = 0.
-1
Let s(h) be the third derivative of -1/420*h**7 + 0*h + 0 + 1/672*h**8 + 7*h**2 + 1/24*h**4 + 1/120*h**5 + 0*h**3 - 1/80*h**6. Factor s(a).
a*(a - 2)*(a - 1)*(a + 1)**2/2
Let n(m) be the first derivative of 1/3*m**2 + 2/27*m**3 + 0*m + 1. Factor n(u).
2*u*(u + 3)/9
Let f be -1 + 2 + (1 - 0). Factor i**2 - 6*i - 2 - i**3 - 3*i**f - i**3 - 4*i**2.
-2*(i + 1)**3
Let w(g) be the third derivative of 0*g + 3/40*g**6 + 2*g**2 - 1/42*g**7 - 7/60*g**5 + 1/12*g**4 + 0*g**3 + 0 + 1/336*g**8. Find x, given that w(x) = 0.
0, 1, 2
Let h(l) be the third derivative of 2*l**2 + 1/210*l**5 + 0 + 0*l - 1/28*l**4 + 0*l**3. Find g such that h(g) = 0.
0, 3
Let x(j) be the third derivative of 1/3*j**3 - 1/30*j**6 - 1/168*j**8 + 0 + 1/15*j**5 + 1/4*j**4 + 4*j**2 + 0*j - 1/35*j**7. Let x(h) = 0. What is h?
-1, 1
Factor -v**2 + 4*v**2 + 66*v - 9 - 72*v.
3*(v - 3)*(v + 1)
Let b(y) be the second derivative of y**5/40 + y**4/24 - y**3/12 - y**2/4 - y. Factor b(k).
(k - 1)*(k + 1)**2/2
Let l be 4/24 + (-4)/(-48)*4. Suppose -3/2*w**2 + 0 - w - l*w**3 = 0. What is w?
-2, -1, 0
Let m(x) = 7*x**4 - 28*x**3 + 60*x**2 - 52*x + 17. Let z(y) = -22*y**4 + 83*y**3 - 180*y**2 + 157*y - 52. Let q(p) = 7*m(p) + 2*z(p). Factor q(c).
5*(c - 3)*(c - 1)**3
Let h(o) = 4*o**2 + 2*o - 1. Let s be h(1). Suppose -m = -s*r + 22, -m = r - 5*r + 18. Find f such that -2*f**r + f**3 + f**5 + 4*f**4 + 0*f**4 = 0.
-1, 0
Factor -3/5*u**2 - 12/5*u - 12/5.
-3*(u + 2)**2/5
Let y(j) be the first derivative of -j**4/8 + 2*j**3/3 - j**2/4 - 3*j + 43. Factor y(p).
-(p - 3)*(p - 2)*(p + 1)/2
Let v(y) = y**3 + 6*y**2 + 5*y + 4. Let k be v(-5). Suppose -n - 12 = -4*f, -2 = -4*f - k*n - 10. Find s, given that -1/3*s**3 - 2/3 + 1/3*s + 2/3*s**f = 0.
-1, 1, 2
Suppose -w - 3 - 3 = 0. Let l be 4/(-9)*w/4. Solve -2/3 - 2*o + l*o**5 - 4/3*o**2 + 4/3*o**3 + 2*o**4 = 0 for o.
-1, 1
Let t = 15 - 4. Let j be (t/(-3) - -4)*1. Determine u so that u**2 + u**3 + 1/3*u**4 + 0 + j*u = 0.
-1, 0
Let q(r) be the second derivative of -2*r**6/15 + 2*r**5/5 + r**4/3 - 4*r**3/3 + 8*r. Factor q(a).
-4*a*(a - 2)*(a - 1)*(a + 1)
Suppose 4*b - b - 24 = 5*i, -i - b = 0. Let x be ((-2)/2 + 1)/i. Factor -1/4*o**5 - 1/2*o**2 + x*o**3 + 0 + 1/4*o + 1/2*o**4.
-o*(o - 1)**3*(o + 1)/4
Let n = -5 + 8. Suppose -v = n*v + 3*j - 23, 3*j = -v + 17. Determine f, given that 5*f**2 - 4*f**4 + v*f**4 - 3*f**2 = 0.
-1, 0, 1
Let -18 + 5*s**2 + 0*s**2 + 18 + 15 - 20*s = 0. What is s?
1, 3
Let p(u) be the third derivative of -u**7/40 - u**6/80 - 11*u**2. Suppose p(v) = 0. What is v?
-2/7, 0
Let v(f) = 6*f**3 + f**2 - f - 6. Let g(m) = -9*m**3 - m**2 + m + 9. Let z(j) = -5*g(j) - 8*v(j). Find c, given that z(c) = 0.
-1, 1
Suppose 28*u = 49 + 7. Factor 1/3*h + 2/3 - 1/3*h**u.
-(h - 2)*(h + 1)/3
Suppose -260/7*z**2 + 116/7*z - 100/7*z**3 - 12/7 = 0. Calculate z.
-3, 1/5
Let l(o) be the third derivative of o**6/1620 + o**5/180 + o**4/54 - o**3/2 + 2*o**2. Let k(v) be the first derivative of l(v). Suppose k(i) = 0. Calculate i.
-2, -1
Let q = -12 + 12. Let s(c) be the third derivative of q + 2*c**2 + 0*c**3 + 1/30*c**5 - 1/12*c**4 + 0*c. Factor s(a).
2*a*(a - 1)
Suppose 2*f = 2*o - 2, 0*o + 31 = 3*o + 4*f. Suppose o*j - 11 + 1 = 0. Factor 3*l**2 - 3*l**j - 8*l**4 + 2*