et g(n) = -77*n**4 + 163*n**3 + 11*n**2 - 165*n + 64. Let b(u) = -115*u**4 + 245*u**3 + 17*u**2 - 247*u + 96. Let l(d) = -5*b(d) + 7*g(d). Factor l(m).
4*(m - 2)*(m + 1)*(3*m - 2)**2
Let j(l) be the second derivative of l**9/6048 - l**7/560 - l**6/360 + l**3/3 - 3*l. Let x(o) be the second derivative of j(o). Let x(r) = 0. What is r?
-1, 0, 2
Suppose 247*i - 242*i - 3*h - 10 = 0, 3*i - 6 = 2*h. Factor -2/13*p**i + 2/13*p + 0.
-2*p*(p - 1)/13
Let k = 15 + -11. Let d(m) = m**3 - 4*m**2. Let g be d(k). Solve 2*j**2 + 4*j**3 + 0*j**4 + 2*j**4 + g*j**2 = 0 for j.
-1, 0
Let j(v) be the second derivative of 0*v**3 - 3/2*v**2 + 1/4*v**4 - 5*v + 0. Factor j(p).
3*(p - 1)*(p + 1)
Let n(c) be the first derivative of 2*c**3/15 - 2*c**2/5 + 2*c/5 + 7. Factor n(b).
2*(b - 1)**2/5
Let p(t) be the first derivative of 5*t**3/3 + 30*t**2 + 55*t + 7. Solve p(m) = 0 for m.
-11, -1
Let w = -1 - -8. Suppose 4*v + 12 = 3*z, w*z + 5*v + 15 = 2*z. Factor -2/5*c**3 + z*c + 0*c**2 + 0.
-2*c**3/5
Let z(j) be the first derivative of -2*j**3/3 - 9*j**2 - 16*j + 37. Find q, given that z(q) = 0.
-8, -1
Let x(i) be the first derivative of i**8/1344 + i**7/420 - i**5/120 - i**4/96 - i**2/2 + 2. Let b(k) be the second derivative of x(k). Factor b(s).
s*(s - 1)*(s + 1)**3/4
Factor 4/5*a**3 - 2/5*a**4 + 14/5*a**2 + 8/5*a + 0.
-2*a*(a - 4)*(a + 1)**2/5
Find m, given that 1/3*m**2 + m + 0 = 0.
-3, 0
Let v(y) be the third derivative of 1/5*y**5 - 1/112*y**8 + 0*y**4 - 1/5*y**6 + 0 + 1/14*y**7 + 0*y**3 + 0*y - 3*y**2. Suppose v(z) = 0. Calculate z.
0, 1, 2
Let m(b) be the second derivative of -b**5/60 + b**4/12 + 3*b**2/2 - 3*b. Let i(k) be the first derivative of m(k). Factor i(c).
-c*(c - 2)
Let o = 22/29 + -1/116. Solve -o + 15/4*i - 3*i**2 = 0.
1/4, 1
Factor -2/7*z**3 - 4/7 + 0*z**2 + 6/7*z.
-2*(z - 1)**2*(z + 2)/7
Let p(i) = 2*i**2 - i + 1. Let d be p(1). Let f = 1 + d. Find h such that 3*h**4 + h**2 - 2*h**4 + 3*h**f + h + 2*h**2 = 0.
-1, 0
Let l(n) = -n + 1. Suppose 4*o = o - 9. Let s(y) = -3*y**2 - 9*y + 12. Let t(i) = o*l(i) + s(i). Solve t(w) = 0.
-3, 1
Let o(p) be the first derivative of -3*p**5/5 - 3*p**4/2 - p**3 + 18. Factor o(u).
-3*u**2*(u + 1)**2
Let x(s) be the first derivative of s**4/2 + 2*s**3 + 3*s**2 + 2*s + 2. Find r such that x(r) = 0.
-1
Let b(h) be the first derivative of 4/3*h + 4/9*h**3 + 4/3*h**2 - 6. Let b(t) = 0. What is t?
-1
Let q(h) be the first derivative of 9*h**5/20 - 3*h**4/4 + h**3/4 - 4. Suppose q(r) = 0. Calculate r.
0, 1/3, 1
Suppose 0 = 3*j - 4*f - 29, -2*f = 2*j + f + 9. Find n, given that -4*n**2 + j*n**5 + 6*n**4 - 3*n + 0*n**4 - 2*n**2 + 0*n**2 = 0.
-1, 0, 1
Factor -2/13*m**5 + 0*m**4 + 2/13*m**3 + 0 + 0*m**2 + 0*m.
-2*m**3*(m - 1)*(m + 1)/13
Let x(w) = -w**2. Let q(i) = -4*i**2 + i**2 - 12 + 8*i - 8*i. Let h(t) = -q(t) + 6*x(t). Find p, given that h(p) = 0.
-2, 2
Suppose -4*s - 20 = 0, 4*s + 18 = g - 0*s. Let o be 2/(-3)*g/4. Let -4*q + 2*q**2 + 8/3 - o*q**3 = 0. Calculate q.
2
Suppose -7*j = -11*j. Suppose j = -7*k + 2*k. Factor 0*a + 1/4*a**2 + k*a**3 - 1/4*a**4 + 0.
-a**2*(a - 1)*(a + 1)/4
Let j be (-18)/8 - (-6 - -4). Let a = j - -1/2. Find b, given that -1/4*b**4 + 1/2*b**2 - 1/2*b**3 + a*b**5 + 1/4*b - 1/4 = 0.
-1, 1
Factor 6 - 12*q**2 + 0*q**3 + 2*q**3 + 4*q**4 - q**3 - 4 + 5*q.
(q - 1)**2*(q + 2)*(4*q + 1)
Let a(f) = 4*f**4 - 2*f**3 + 2*f**2 + 2*f - 2. Let g(d) = -9*d**4 + 4*d**3 - 5*d**2 - 5*d + 5. Let z(b) = 5*a(b) + 2*g(b). Factor z(o).
2*o**3*(o - 1)
Let n(x) be the first derivative of x**6/6 + 7*x**5/5 + 19*x**4/4 + 25*x**3/3 + 8*x**2 + 4*x - 2. Factor n(u).
(u + 1)**3*(u + 2)**2
Let g(v) = 5*v**2 + 65*v - 48. Let y(f) = -2*f**2 - 22*f + 16. Let i(j) = 6*g(j) + 17*y(j). Factor i(x).
-4*(x - 2)**2
Solve -8*h**3 + 10*h**2 - 2*h**4 + 16*h + 2*h**5 - 2*h**2 - 4*h**3 = 0.
-2, -1, 0, 2
Let u(o) be the first derivative of 3*o**5/20 + 27*o**4/16 + 27*o**3/4 + 81*o**2/8 - 4. Find b, given that u(b) = 0.
-3, 0
Let g(s) be the second derivative of -1/24*s**4 + 1/12*s**5 + 0 + 0*s**3 - 1/2*s**2 - s - 1/30*s**6. Let l(a) be the first derivative of g(a). Factor l(r).
-r*(r - 1)*(4*r - 1)
Let p(a) = -2*a + 1. Let x be p(1). Let u be (-1)/(-2 - (x - 0)). Find m such that -8*m - u + 9 - m**2 + 3*m**2 = 0.
2
Let a(p) be the second derivative of -p**6/10 + 3*p**5/20 + 30*p. Let a(n) = 0. Calculate n.
0, 1
Let f be (4/6)/(6/54). Factor -6 - 4*b**2 + b**2 + f.
-3*b**2
Let b be 0/(1 + -4)*1/(-3). Let 1/2*x - 1/4*x**2 + b = 0. Calculate x.
0, 2
Let r(z) = -2*z**3 + 13*z**2 - 7*z + 6. Let l be r(6). Let w be (6/(-27))/(1/(-3)). Factor l*d + w*d**2 + 0.
2*d**2/3
Let j(x) be the first derivative of -5*x**4/4 - 5*x**3/9 + 20*x**2/3 - 20*x/3 - 57. Factor j(r).
-5*(r - 1)*(r + 2)*(3*r - 2)/3
Find o such that 2/5 - 7/5*o**2 - o = 0.
-1, 2/7
Suppose -2 = -2*b + 6. Let u be -2 + 0 - -2 - 0. Find p, given that u*p + 0 - 1/2*p**5 + 1/2*p**b + 1/2*p**3 - 1/2*p**2 = 0.
-1, 0, 1
Find k such that 2*k**2 + 2/5*k**3 + 14/5*k + 6/5 = 0.
-3, -1
Let i = -4 + 8. Factor -2*z**3 + 2*z**2 - 16*z**2 - 10*z**3 - 2*z + i + 4*z.
-2*(z + 1)*(2*z - 1)*(3*z + 2)
Let q(l) be the first derivative of l**5/70 + l**4/42 - l**3/21 - l**2/7 - l - 2. Let r(b) be the first derivative of q(b). Suppose r(w) = 0. Calculate w.
-1, 1
Let q(r) be the third derivative of -r**5/80 - r**4/16 + 3*r**3/8 + 17*r**2. Determine w, given that q(w) = 0.
-3, 1
Let u(l) be the third derivative of -l**8/448 + l**7/120 - l**6/96 + l**5/240 + 5*l**2. Find b such that u(b) = 0.
0, 1/3, 1
Let b(w) be the first derivative of -3 + 1/6*w**3 - 1/2*w + 0*w**2. Factor b(i).
(i - 1)*(i + 1)/2
Suppose 9 = 2*x + x. Suppose -x + 11 = 4*i. Determine f, given that -7*f**2 - 3*f**i - 2*f + 3*f**2 = 0.
-2/7, 0
Let w(t) be the second derivative of -3*t**7/280 + t**6/1440 + t**5/240 + 2*t**3/3 + 3*t. Let s(y) be the second derivative of w(y). Find b such that s(b) = 0.
-2/9, 0, 1/4
Let v = -14 - -16. Let y(r) be the first derivative of -3/2*r**4 + 3/4*r**v + 0*r + 1 - 3/2*r**3. Factor y(j).
-3*j*(j + 1)*(4*j - 1)/2
Let b(u) be the first derivative of 4*u**3/3 - 4*u - 7. Factor b(s).
4*(s - 1)*(s + 1)
Let x be 243/33 + (-17 - -10). Factor 2/11*r + 0*r**3 - 2/11*r**5 + 4/11*r**2 + 0 - x*r**4.
-2*r*(r - 1)*(r + 1)**3/11
Let v(g) = g**3 + 7*g**2 - g - 7. Let i(p) = -p**2 + 1. Let x(q) = -15*i(q) - 3*v(q). Solve x(t) = 0 for t.
-2, -1, 1
Suppose -24 = 3*r - 195. Let u be r/126 + (-6)/36. Factor -u - 2/7*d**4 + 4/7*d**2 - 2/7*d + 4/7*d**3 - 2/7*d**5.
-2*(d - 1)**2*(d + 1)**3/7
Solve -16*m**2 + 43*m**2 - 24*m**2 - 3*m = 0 for m.
0, 1
Let z(w) be the second derivative of w**5/8 + w**4/2 + 3*w**3/4 + w**2/2 - 10*w. Determine h, given that z(h) = 0.
-1, -2/5
Find d such that -3/7*d**4 + 6/7*d**3 + 0 - 6/7*d + 3/7*d**2 = 0.
-1, 0, 1, 2
Suppose 2*x - 3*k = -8, -4*k + 5*k = 3*x - 2. Find s, given that 2*s**3 + 2 - 2 + 2*s**4 - 2*s**x - 2*s = 0.
-1, 0, 1
Let b be (-4)/(-16) - (-27)/4. Let f(t) = t**3 - 7*t**2 - t + 8. Let i be f(b). Factor o - o**2 - i - 2*o + 3*o.
-(o - 1)**2
Let u(b) be the second derivative of 2*b**6/135 + b**5/45 - b**4/9 - 2*b**3/27 + 4*b**2/9 + 7*b. Factor u(f).
4*(f - 1)**2*(f + 1)*(f + 2)/9
Let g = 2/145 - -46/29. Let i be (11/22)/(2/8). Determine y, given that g*y + 2/5*y**i + 8/5 = 0.
-2
Let b(s) be the third derivative of 0 - 1/588*s**8 + 0*s**3 + 2/735*s**7 - 1/105*s**5 + 1/210*s**6 + 0*s + 3*s**2 + 0*s**4. Factor b(t).
-4*t**2*(t - 1)**2*(t + 1)/7
Let r be (0 - -4)*(-4)/(-4). Let y be (3/(-5))/((-6)/r). Factor 1/5*t**2 + 1/5*t - y.
(t - 1)*(t + 2)/5
Let j(u) be the third derivative of -1/20*u**5 + 0*u + 0 + 3/70*u**7 + 0*u**3 - 1/20*u**6 - 2*u**2 + 0*u**4. Factor j(w).
3*w**2*(w - 1)*(3*w + 1)
Determine u, given that 4/3*u**2 + 0 - 4/3*u**3 - 4/3*u**4 + 4/3*u = 0.
-1, 0, 1
Let v(s) be the second derivative of 0*s**3 + 1/25*s**5 + 0 + 0*s**2 - s + 0*s**4 - 2/75*s**6. Factor v(p).
-4*p**3*(p - 1)/5
Let n(p) be the first derivative of p**6/6 + 4*p**5/15 - 2*p**4/3 - 2*p**3 - 11*p**2/6 - 2*p/3 + 33. Solve n(m) = 0.
-1, -1/3, 2
Let f(a) be the second derivative of 1/18*a**4 + 0 + 2*a + 1/90*a**6 + 0*a**2 - 1/20*a**5 + 0*a**3. Suppose f(k) = 0. What is k?
0, 1, 2
Let z(x) be the second derivative of -3*x**4/16 - x**3/12 + 60*x. Factor z(b).
-b*(9*b + 2)/4
Let h(m) = 0*m - 7 - 2 - 2*m. Let a be h(-6). Factor 