1/480*l**6 + h*l - 1/12*l**3 - 3*l**2. Factor n(i).
-(i - 2)*(i - 1)*(i + 1)/4
Let b(p) = -p**2 - 6*p. Let x be b(7). Let g = -453/5 - x. Suppose 2/5*k**2 - g*k - 4/5 = 0. What is k?
-1, 2
Determine j so that 2/9*j**4 + 0*j**3 + 0 + 0*j - 2/9*j**2 = 0.
-1, 0, 1
Let l(a) = -a + 4. Let o be l(4). Factor 2/3*n + 1/3*n**4 + 0*n**3 - n**2 + o.
n*(n - 1)**2*(n + 2)/3
Let y(l) be the first derivative of -l**4 + 8*l**3 - 10*l**2 + 2. Solve y(r) = 0.
0, 1, 5
Suppose -p - 4 = 0, 0 = 3*c - 7*c - 2*p + 16. Let h(u) be the second derivative of 0 + 1/45*u**5 - 1/9*u**2 + u + 0*u**4 - 2/27*u**3 + 1/135*u**c. Factor h(a).
2*(a - 1)*(a + 1)**3/9
Let o(i) be the second derivative of i**5/5 + 3*i**4/4 + i**3 + i**2/2 + 14*i. Factor o(y).
(y + 1)**2*(4*y + 1)
Suppose 6/5*u + 1/5*u**3 + 0 + u**2 = 0. Calculate u.
-3, -2, 0
Let t(l) be the second derivative of l**6/50 + 3*l**5/50 - l**3/5 - 3*l**2/10 + 55*l. Factor t(k).
3*(k - 1)*(k + 1)**3/5
Let i = -2 - -4. Suppose 0*d + i = d. Factor y**2 + 5*y**4 - 3*y**4 - 3*y**2 + 0*y**d.
2*y**2*(y - 1)*(y + 1)
Factor 8/3 - 2/3*h**2 + 2*h.
-2*(h - 4)*(h + 1)/3
Let z(i) = -i + 5. Let h be z(3). Determine a, given that 8/3*a - 16/3*a**h + 0 + 10/3*a**3 - 2/3*a**4 = 0.
0, 1, 2
Find c, given that 9*c**3 - 4*c**5 + 0*c**3 - 10*c**4 - 3*c**2 - 6*c + c**5 + 13*c**4 = 0.
-1, 0, 1, 2
Factor -6*g + 83*g**3 - 46*g**3 + 0*g - 9*g**2 - 40*g**3.
-3*g*(g + 1)*(g + 2)
Let g(m) be the first derivative of -m**5/35 + 2*m**3/21 - m/7 + 42. Factor g(s).
-(s - 1)**2*(s + 1)**2/7
Let p be (16/(-10) + 2)*10. Suppose -3*w + 4*w + 5 = 0, p*y + 3 = -3*w. Suppose 2/9*x - 2/9*x**2 - 2/9*x**y + 2/9 = 0. What is x?
-1, 1
Let p(x) be the third derivative of 0 + 0*x**3 + 0*x**4 - 2/315*x**7 + 0*x + 0*x**5 - 1/504*x**8 - 1/180*x**6 + 3*x**2. Factor p(o).
-2*o**3*(o + 1)**2/3
Let z = -5 - -4. Let u be z/(-4)*152/95. Suppose 8/5*p**2 - u + 6/5*p = 0. Calculate p.
-1, 1/4
Factor -1/3*s**2 + 4/3*s - 1.
-(s - 3)*(s - 1)/3
Let x(m) = m**2 + 3. Let k be x(0). Suppose -2*g - k = -3*g. Solve 2 + 2*p - 2*p - 3*p**2 + g*p + 4 = 0 for p.
-1, 2
Let f be -1 + (-36)/((-72)/8). Factor -2/9*b**2 + 2/9*b**5 - 2/9*b**f + 2/9*b**4 + 0 + 0*b.
2*b**2*(b - 1)*(b + 1)**2/9
Let b(n) be the third derivative of -n**9/52920 - n**8/23520 + n**7/8820 + n**6/2520 - n**4/3 + 5*n**2. Let k(u) be the second derivative of b(u). Factor k(z).
-2*z*(z - 1)*(z + 1)**2/7
Let v(m) be the third derivative of -m**5/20 - m**4/8 + 3*m**2. Find p, given that v(p) = 0.
-1, 0
Let j(k) = k**2 + 3*k - 52. Let f be j(6). Factor 1/6*p + 1/6*p**f - 1/6 - 1/6*p**3.
-(p - 1)**2*(p + 1)/6
Suppose 1/2 + 1/2*c - 1/2*c**3 - 1/2*c**2 = 0. What is c?
-1, 1
Let c(u) be the third derivative of 2*u**2 + 1/300*u**5 + 0*u + 0 - 1/120*u**4 + 0*u**3. Solve c(v) = 0 for v.
0, 1
Let b = 5 + -3. What is w in 6*w - b*w - w**2 + 2*w**3 - 5*w**2 = 0?
0, 1, 2
Let h = -27/5 - -31/5. Factor -6/5*k**4 + 0 + h*k**3 + 0*k + 2/5*k**2.
-2*k**2*(k - 1)*(3*k + 1)/5
Suppose m - 2 = 5. Let v = 13 - m. Factor 0*f**2 - 10*f**2 - v*f**3 + 18*f**4 + 0*f**2 - 2*f.
2*f*(f - 1)*(3*f + 1)**2
Let s(h) be the third derivative of 0*h + h**3 + 3/8*h**4 - 5*h**2 + 1/20*h**5 + 0. Factor s(k).
3*(k + 1)*(k + 2)
Let 0*r + 2/9*r**5 + 4/9*r**2 + 8/9*r**4 + 10/9*r**3 + 0 = 0. What is r?
-2, -1, 0
Find z such that -4*z - 5*z**4 + 6*z**4 + 4*z**2 - 5*z**4 + 4*z**3 = 0.
-1, 0, 1
Let f = 651 - 649. Suppose 2/11*k**3 - 18/11*k**f + 54/11*k - 54/11 = 0. Calculate k.
3
Let r(k) = k**2 + 11*k + 3. Let c be r(-11). Factor 1/2*l - 3*l**2 + 0 + 3/2*l**5 - 5*l**4 + 6*l**c.
l*(l - 1)**3*(3*l - 1)/2
Let v(m) be the first derivative of 3 + 0*m**2 + 0*m**3 + 2/35*m**5 + 0*m**4 + 0*m. Suppose v(t) = 0. What is t?
0
Let m(c) = c**3 + 4*c**2 - c - 1. Let z be ((-8)/(-2))/(2/(-1)). Let q = z + -1. Let f(u) = u**3 + 5*u**2 - u - 1. Let h(j) = q*f(j) + 4*m(j). Factor h(a).
(a - 1)*(a + 1)**2
Let u(w) be the second derivative of 3*w + 0 + 1/18*w**4 + 1/90*w**5 + 2/27*w**3 + 0*w**2. Factor u(o).
2*o*(o + 1)*(o + 2)/9
Let c(z) = -3*z**3 - 5*z**2 + 8*z + 5. Let m(o) = -3*o**3 - 4*o**2 + 7*o + 4. Let b(g) = -4*c(g) + 5*m(g). Determine t, given that b(t) = 0.
-1, 0, 1
Let k(m) = -2*m**3 - m. Let w(b) = -2*b**3 - 8 + 8. Suppose -g + y = -7, -3*g - 3*y - 23 = -7*g. Let f(o) = g*k(o) - 3*w(o). Determine l, given that f(l) = 0.
-1, 0, 1
Let y(g) be the third derivative of -g**7/70 - g**6/40 + 3*g**5/20 + 5*g**4/8 + g**3 + 15*g**2. Let y(v) = 0. Calculate v.
-1, 2
Factor -72/11*j + 6/11*j**2 + 6.
6*(j - 11)*(j - 1)/11
Find o, given that -2/3*o + 2/3*o**3 - 2/3 + 2/3*o**2 = 0.
-1, 1
Let i be (21/(-525))/(2/(-10)). Factor 4/5*h - i*h**2 - 3/5.
-(h - 3)*(h - 1)/5
Let n = 6 - 5. Suppose -a**2 - 3*a**3 + 3*a**3 + a**3 - a + n = 0. Calculate a.
-1, 1
Suppose -t - 10 = -6*t. Factor -2*c - 2*c + 2*c**3 - c**4 - c**3 + c**t + 3*c.
-c*(c - 1)**2*(c + 1)
Let b be 4/(-6) - (1 + (-11)/3). Let l(w) be the second derivative of 1/2*w**b + 2*w - 1/3*w**3 + 1/12*w**4 + 0. Find f, given that l(f) = 0.
1
Let r(k) be the second derivative of 1/33*k**3 + 4*k + 1/66*k**4 + 0*k**2 + 0. Factor r(z).
2*z*(z + 1)/11
Let x(t) be the third derivative of -t**8/13440 + t**7/1680 - t**6/480 + t**5/240 + t**4/12 - 2*t**2. Let g(o) be the second derivative of x(o). Factor g(v).
-(v - 1)**3/2
Let c(n) be the second derivative of 0 + 0*n**5 + 2*n + 0*n**4 + 0*n**2 + 0*n**3 - 1/70*n**6. Let c(s) = 0. What is s?
0
Let v be 10/(-45) - 105/(-108). Solve -1/4*z**4 - 3/4*z**3 - 1/4*z + 0 - v*z**2 = 0 for z.
-1, 0
Suppose -126*n**4 + 122*n**4 - 2*n**2 + n**5 - n**3 + 6*n**3 = 0. Calculate n.
0, 1, 2
Let d(f) = -f**3 - 5*f**2 - 4*f + 3. Let c be d(-4). Determine u, given that 3*u**c - 3*u - 2 + 2 = 0.
-1, 0, 1
Let i(n) be the third derivative of -n**5/48 + 5*n**4/48 - 5*n**3/24 - 28*n**2. Factor i(g).
-5*(g - 1)**2/4
Let g = 3 + -1. Let 4*u**2 + u**2 - 3*u**g - 2*u = 0. What is u?
0, 1
Suppose -23*c + 8*c + 4*c**3 + c**3 + 10*c = 0. What is c?
-1, 0, 1
Let r(k) be the first derivative of -k**4/30 + 22*k**3/45 - 8*k**2/5 - 24*k/5 + 3. Factor r(j).
-2*(j - 6)**2*(j + 1)/15
Let q(p) = -p**4 + 3*p**3 - 7*p**2 + 3*p + 8. Let b(i) = -i**2 + i + 1. Let r(v) = -6*b(v) + q(v). Solve r(z) = 0.
-1, 1, 2
Let t(g) be the first derivative of g**4/5 + 4*g**3/5 + 6*g**2/5 + 4*g/5 + 11. Factor t(y).
4*(y + 1)**3/5
Let a(d) = d**2 - 1. Let q(i) be the third derivative of -i**5/60 - i**4/8 + 2*i**3/3 - 3*i**2. Let m(u) = 5*a(u) + q(u). Determine t, given that m(t) = 0.
-1/4, 1
Solve -34/5*f + 12/5 + 2*f**2 = 0 for f.
2/5, 3
Let z(u) be the third derivative of u**6/420 - u**5/70 + u**4/42 - 2*u**2 - 3. Factor z(l).
2*l*(l - 2)*(l - 1)/7
Let d = 668 - 361. Let l = 3379/11 - d. Factor 4/11 + 2/11*q - l*q**2.
-2*(q - 2)*(q + 1)/11
Let h(p) be the third derivative of -p**6/900 - p**5/90 - 2*p**4/45 - 4*p**3/45 - 7*p**2. Factor h(z).
-2*(z + 1)*(z + 2)**2/15
Suppose p - 4 = -2*n, 0 = -n - p + 1 + 1. Find l, given that 1 + 2*l - 2*l**n - 11*l**2 + 14*l**2 = 0.
-1
Let v(h) = -6*h**5 + 35*h**4 - 24*h**3 - 23*h**2 + 19*h - 1. Let g(y) = 2*y**5 - 12*y**4 + 8*y**3 + 8*y**2 - 6*y. Let z(n) = -11*g(n) - 4*v(n). Factor z(b).
2*(b - 2)*(b - 1)**3*(b + 1)
Let h = 9 + -6. Let l(g) = g**3 - 9*g**2 + 8*g + 5. Let u be l(8). Let 0*p**3 - 3*p**h + 2 + u*p**3 - 2*p**2 - 2*p = 0. What is p?
-1, 1
Suppose 0 + 8/15*d**2 + 2/3*d**4 + 0*d + 8/5*d**3 = 0. What is d?
-2, -2/5, 0
Let c(o) be the first derivative of 8/3*o**3 + o**2 - 64/7*o**5 - 6 - 64/21*o**6 - 26/7*o**4 - 4/7*o. Suppose c(x) = 0. Calculate x.
-2, -1/2, 1/4
Let y(p) be the third derivative of 1/16*p**4 + 0*p**3 + 9*p**2 + 3/80*p**6 - 3/40*p**5 - 1/140*p**7 + 0 + 0*p. Factor y(f).
-3*f*(f - 1)**3/2
Let t(u) be the second derivative of 5*u**4/48 + 25*u**3/12 + 125*u**2/8 - u. Factor t(s).
5*(s + 5)**2/4
Let r = 6331 + -31523/5. Solve 88/5*y + 14/5*y**4 + 74/5*y**3 + 16/5 + r*y**2 = 0 for y.
-2, -1, -2/7
Suppose 3*a + 24 = 5*m + 72, 0 = 2*m + 5*a + 44. Let g be (30/(-140))/(m/14). Find j, given that -1/4*j**4 - 1/4*j + g*j**2 + 1/4*j**3 + 0 = 0.
-1, 0, 1
Let b(d) be the third derivative of -1/30*d**5 + 1/105*d**7 + 5*d**2 - 1/60*d**6 + 0*d + 0 + 1/12*d**4 + 0*d**3. Factor b(g).
2*g*(g - 1)**2*(g + 1)
Let k = -11/9 + 35/9. Let y(n) be the first derivative of 2*n**4 + n**2 - 1 + 0*n + k*n**3. Find z, given that y(z) = 