v**4/6 - 2*v**3/3 - v**2/3 + 4*v/3 + 10. Determine i so that g(i) = 0.
-2, -1, 1
Let m be 1 + 0 + (0 - 1). Let z(t) be the third derivative of 0*t**4 + 1/105*t**5 + 0*t**3 - 1/420*t**6 + t**2 + m + 0*t. Factor z(w).
-2*w**2*(w - 2)/7
Let f = 17 + -15. Let j(l) be the first derivative of 1/6*l**f + 0*l + 1 + 1/9*l**3. What is g in j(g) = 0?
-1, 0
Let t(y) be the third derivative of y**5/15 + y**4/12 - y**3/3 + 31*y**2. Suppose t(f) = 0. What is f?
-1, 1/2
Find r such that 7*r**4 + r**5 - 13*r**3 + 25*r**2 - 2*r**5 - 16*r - 6*r**3 + 4 = 0.
1, 2
Let l(t) = -8*t**4 + 23*t**3 - 13*t**2 + t + 3. Let j(o) = -16*o**4 + 47*o**3 - 25*o**2 + o + 7. Let g(a) = 3*j(a) - 7*l(a). Factor g(v).
4*v*(v - 1)**2*(2*v - 1)
Let z = -355/3 + 2509/21. Factor 22/7*v**2 + 12/7*v**3 - 8/7 - 18/7*v**4 - z*v.
-2*(v - 1)**2*(3*v + 2)**2/7
Let p(w) = 14*w**2 - 4*w + 3. Let q(s) = -28*s**2 + 8*s - 5. Let t = 8 + -3. Let a(l) = t*p(l) + 3*q(l). Solve a(i) = 0 for i.
0, 2/7
Let p(l) = -l**2 + 5*l - 3. Let c(d) = d**2 - d + 1. Let v(x) = x + 7. Let q be v(-7). Let k = q + -1. Let w(i) = k*p(i) - 3*c(i). Factor w(h).
-2*h*(h + 1)
Suppose -2*d + 10 = 2*l, -20 - 21 = -5*d - l. Factor 2 - d*b**2 - 2*b + 8*b**2 - 6 - 2*b.
-(b + 2)**2
Let x be 3 - (16/(-24))/((-8)/3). Determine f, given that 1/2*f + 5/4*f**5 + 0 + 21/4*f**3 - 17/4*f**4 - x*f**2 = 0.
0, 2/5, 1
Let y(m) = 5*m - 33. Let w be y(7). Factor -2/7*d**w + 2/7*d + 0.
-2*d*(d - 1)/7
Let u be 2/(-3)*-6*4/40. Let w(v) be the first derivative of -u*v**4 + 4/15*v**6 - 2/25*v**5 + 2/15*v**3 - 1 + 0*v**2 + 0*v. Find z such that w(z) = 0.
-1, 0, 1/4, 1
Let l(a) = 7*a**2 + 16*a - 9. Let r(m) = 20*m**2 + 47*m - 26. Let n(p) = 17*l(p) - 6*r(p). Let y be n(-10). Factor 5/2*d**2 - 1/2*d - 2*d**y + 0.
-d*(d - 1)*(4*d - 1)/2
Let f(w) = 8*w**5 - 20*w**4 + 32*w**3 - 21*w**2 + 6*w - 5. Let m(b) = 9*b**5 - 21*b**4 + 33*b**3 - 21*b**2 + 6*b - 6. Let i(t) = -6*f(t) + 5*m(t). Factor i(l).
-3*l*(l - 2)*(l - 1)**3
Factor 9 + 1882*l**3 - 21*l**2 - 1891*l**3 + 3.
-3*(l + 1)*(l + 2)*(3*l - 2)
What is m in 2/5*m**5 - 4/5*m + 0 + 6/5*m**2 - 6/5*m**4 + 2/5*m**3 = 0?
-1, 0, 1, 2
Find z such that -z**2 - 4*z + 4*z**2 + 1 - 4*z + 4*z = 0.
1/3, 1
Suppose 5/3*o**2 + 5/6 - 5/2*o**4 + 5/2*o - 5/3*o**3 - 5/6*o**5 = 0. What is o?
-1, 1
Let y = 3/4 + 1/20. Let r = -52/45 - -14/9. Let 0 - y*i + r*i**2 = 0. Calculate i.
0, 2
Determine u, given that -1/2*u**4 + 1/2*u**5 - u**3 + u**2 - 1/2 + 1/2*u = 0.
-1, 1
Let x(l) = 112*l + 338. Let s be x(-3). Factor 0 + 3/7*u**3 + 6/7*u**s + 3/7*u.
3*u*(u + 1)**2/7
Let w be 12/(-24) + (-11)/(-6). Factor w*g + 2/3*g**2 - 2.
2*(g - 1)*(g + 3)/3
Let i = -1/45 - -23/360. Let a(q) be the second derivative of 3*q + 0*q**3 + 1/4*q**2 - i*q**4 + 0. Factor a(j).
-(j - 1)*(j + 1)/2
Let t(b) be the third derivative of b**8/80640 - b**7/20160 - b**6/1440 + b**5/30 + b**2. Let d(l) be the third derivative of t(l). Solve d(m) = 0 for m.
-1, 2
Suppose 2*r - 1 - 5 = 0. What is y in -2/13*y**4 + 2/13*y + 0 - 6/13*y**2 + 6/13*y**r = 0?
0, 1
Let z(r) be the third derivative of -r**7/42 + r**6/8 - r**5/12 - 5*r**4/8 + 5*r**3/3 + 19*r**2. Factor z(u).
-5*(u - 2)*(u - 1)**2*(u + 1)
Let q be -8 + (-1)/1 + -2. Let p = q - -11. Factor 0*c**2 + p + 2/7*c**3 + 0*c.
2*c**3/7
Factor -4/9 + 2/3*p + 10/9*p**2.
2*(p + 1)*(5*p - 2)/9
Let p(m) be the third derivative of -m**7/105 - m**6/60 + m**5/30 + m**4/12 - 48*m**2. Determine t, given that p(t) = 0.
-1, 0, 1
Let q(d) be the second derivative of -2*d**6/15 - 2*d**5/5 + d**4/3 + 4*d**3/3 - 55*d. Factor q(j).
-4*j*(j - 1)*(j + 1)*(j + 2)
Let w(s) be the first derivative of -3*s**5/10 + 3*s**4/4 + s**3/2 - 3*s**2/2 - 18. Let w(d) = 0. What is d?
-1, 0, 1, 2
Let q(m) be the first derivative of -m**6/3 + 6*m**5/5 - m**4 - 4*m**3/3 + 3*m**2 - 2*m + 6. Factor q(a).
-2*(a - 1)**4*(a + 1)
Let q(a) = 4*a**4 + 6*a**2 + 6. Let r(d) = 2 - 6 - d**5 - 1 - 4*d**4 - 5*d**2. Let j(i) = 5*q(i) + 6*r(i). Solve j(b) = 0.
-2/3, 0
Let w = 142/3 + -47. Let i = -35 + 106/3. Factor 0*h**2 - 2/3*h - w + i*h**4 + 2/3*h**3.
(h - 1)*(h + 1)**3/3
Let c(d) be the second derivative of 7*d**4/16 + 5*d**3/8 - 3*d**2/4 - 4*d. Solve c(x) = 0.
-1, 2/7
Factor 20/9 + 8/3*d + 4/9*d**2.
4*(d + 1)*(d + 5)/9
Let z = 10 + -9. Let w be -2*z/(-2*3). Factor 4/3*t**2 - w*t + 0.
t*(4*t - 1)/3
What is r in -4*r**2 + 44*r**3 + 44*r**3 - 92*r**3 = 0?
-1, 0
Let n(k) = 9*k**3 - 3*k**2 + 3*k + 5. Let v = 9 - 5. Let d(o) = -4*o**3 + o**2 - o - 2. Let i(w) = v*n(w) + 10*d(w). Factor i(q).
-2*q*(q + 1)*(2*q - 1)
Let i(s) be the first derivative of -2*s**5 + 7*s**4 - 8*s**3 + 2*s**2 + 2*s - 47. Factor i(z).
-2*(z - 1)**3*(5*z + 1)
Factor -25 + 25 + z - 4*z**3 - 2*z**4 + 2*z**2 + 3*z**5.
z*(z - 1)**2*(z + 1)*(3*z + 1)
Factor j - j - 2*j**3 - 9 + 3*j**4 + 14*j**3 + 6*j**2 - 12*j.
3*(j - 1)*(j + 1)**2*(j + 3)
Let s = -41/4 - -131/12. Find u, given that -4/3*u**4 + 0 - s*u**3 + 0*u**2 + 0*u - 2/3*u**5 = 0.
-1, 0
Let z(q) be the third derivative of -q**6/120 + q**4/24 + 4*q**2. Suppose z(d) = 0. Calculate d.
-1, 0, 1
Let w(f) be the third derivative of -f**5/4 + 5*f**4/12 + 6*f**2. Let w(q) = 0. Calculate q.
0, 2/3
Factor -23/2*v + 9/2*v**3 - 15*v**2 - 2.
(v - 4)*(3*v + 1)**2/2
Factor 10*r**2 + 2/3 - 14/3*r + 8/3*r**4 - 26/3*r**3.
2*(r - 1)**3*(4*r - 1)/3
Let s = -3 + 2. Let k = s + 6. Factor a + k*a**2 - 2 - 3*a + 5*a.
(a + 1)*(5*a - 2)
Let k(h) be the second derivative of 0 - 1/12*h**4 + 0*h**3 - 2/15*h**6 + 1/4*h**5 + 0*h**2 - 8*h. Let k(l) = 0. Calculate l.
0, 1/4, 1
Let c be (1 - -1)*(-1)/(-2). Let r be (-4 - -5) + c/2. Suppose 1/4*u**4 + r*u**2 + 1/4 - u**3 - u = 0. Calculate u.
1
Let d(n) be the second derivative of -n**7/14 - n**6/5 - 3*n**5/20 - 50*n. Solve d(k) = 0.
-1, 0
Let v(n) = -n - 2. Let i be v(-9). Let a = -4 + i. Find c such that 0*c + 1/2*c**a + 0 - c**4 + 1/2*c**5 + 0*c**2 = 0.
0, 1
Factor -1/2*x**2 - 2*x - 2.
-(x + 2)**2/2
Let a(u) = 2*u**2 + 5*u - 4. Let i(n) = n. Let c(x) = 2*a(x) - 6*i(x). Determine y, given that c(y) = 0.
-2, 1
Let a(s) = 22*s**3 - 21*s**2 + 11*s + 3. Let c(y) = y**4 - 21*y**3 + 21*y**2 - 11*y - 2. Let w(r) = -4*a(r) - 5*c(r). Factor w(j).
-(j - 1)**3*(5*j - 2)
Let n = 24 - 18. Suppose 2*o = n*o. Factor o*q + 0 + 2/3*q**2 + 2/3*q**3.
2*q**2*(q + 1)/3
Factor 6/5*g + 0*g**2 - 2/5*g**3 - 4/5.
-2*(g - 1)**2*(g + 2)/5
Suppose -l = -2*l - 1, 0 = 4*i + 2*l - 6. Let u be ((-6)/4)/(-11 - -5). Factor u*o**3 + 0 + o + o**i.
o*(o + 2)**2/4
Let b(y) = -3*y**3 - 7*y**2 - 8*y - 2. Let r(u) = -7*u**3 - 15*u**2 - 16*u - 3. Let q = -10 - -5. Let g(t) = q*b(t) + 2*r(t). What is v in g(v) = 0?
-2, -1
Factor 4/3*n**3 + 5/3*n**2 - 2/3 - 7/3*n.
(n - 1)*(n + 2)*(4*n + 1)/3
Let r(b) be the third derivative of -b**5/48 + b**4/8 - b**3/6 + 3*b**2. Factor r(v).
-(v - 2)*(5*v - 2)/4
Let h(m) be the third derivative of m**6/80 - m**5/40 + m**2. Solve h(z) = 0 for z.
0, 1
Factor 0 - 6/7*l**3 + 3/7*l**2 + 3/7*l**4 + 0*l.
3*l**2*(l - 1)**2/7
Suppose 43 - 41 = i. Find z such that 0*z + 0*z**3 + 2/9*z**i - 2/9*z**4 + 0 = 0.
-1, 0, 1
Factor -14*c - 8 + 3*c**2 + 7*c**2 - 2*c.
2*(c - 2)*(5*c + 2)
Let n(f) = f - 6. Let z be n(7). Let s(h) be the first derivative of 1/15*h**5 - z - 2/3*h + 1/12*h**4 - 5/6*h**2 - 1/3*h**3. Factor s(a).
(a - 2)*(a + 1)**3/3
Let p(y) = y**5 + 16*y**4 + 7*y**3 - 41*y**2 - 8*y + 25. Let n(m) = 8*m**4 + 4*m**3 - 20*m**2 - 4*m + 12. Let q(t) = -9*n(t) + 4*p(t). Solve q(s) = 0.
-1, 1, 2
Factor 0 - 7*c**5 - 16*c**2 - 2 - 6*c**4 + 14*c**3 + 8*c**5 + 9*c.
(c - 2)*(c - 1)**4
Suppose -2*l = 3 - 7. Factor 3*y**2 + 6*y**2 - 4*y**l - 4*y**2.
y**2
Let k(l) be the second derivative of -l**6/45 - l**5/3 - 2*l**4 - 56*l**3/9 - 32*l**2/3 - 14*l. Factor k(m).
-2*(m + 2)**3*(m + 4)/3
Let r(l) be the third derivative of 0*l**5 + 0 + 3*l**2 + 0*l**3 + 0*l**4 - 1/1848*l**8 + 0*l**6 + 0*l + 1/1155*l**7. Let r(g) = 0. Calculate g.
0, 1
Let c(s) be the first derivative of 3*s**4/28 + 5*s**3/7 + 3*s**2/2 + 9*s/7 + 35. Factor c(p).
3*(p + 1)**2*(p + 3)/7
Let c = 18 - 15. Suppose l = c*l - 8. Factor -2*u**3 + 0 - 4/3*u**5 - 1/3*u**2 - 3*u**l + 0*u.
-u**2*(u + 1)**2*(4*u + 1)/3
Determine n, given that -5*n**4 + 10*n**3 - 25*n**3 + 22*n - 2*n = 0.
-2, 0, 1
Let k(s) be the third derivative of s**8/1680 + s**7/1050 - s**6/600 - s**5/300 - 15*s**2. Factor k(n).
n**2*(n 