so that 1/8*r - 1/8*r**3 + 0*r**2 + 0 = 0.
-1, 0, 1
Let r(p) = p**3 - 6*p**2 + 3. Let l be r(6). Let b(y) = y**2 - 5*y - 11. Let z(t) = 4*t**2 - 26*t - 54. Let s = 9 - 23. Let q(a) = l*z(a) + s*b(a). Factor q(g).
-2*(g + 2)**2
Let b(o) be the first derivative of o**6/60 - o**5/30 - o**4/12 + o**3/3 + 5*o**2/2 + 4. Let v(l) be the second derivative of b(l). Factor v(s).
2*(s - 1)**2*(s + 1)
Suppose 0 + 1/5*x**4 + 12/5*x**2 - 8/5*x - 6/5*x**3 = 0. Calculate x.
0, 2
Let d = -6 + 10. Let j(l) be the first derivative of -1/3*l + 1/9*l**3 + 1/6*l**2 - 2 - 1/12*l**d. Factor j(o).
-(o - 1)**2*(o + 1)/3
Let n(l) be the first derivative of -5*l**3/3 + 15*l**2/2 + 2. Factor n(r).
-5*r*(r - 3)
Let z = -72 + 76. Let d(b) be the third derivative of 3*b**2 + 0*b - 1/40*b**5 + 1/12*b**3 + 0*b**z + 0 + 1/120*b**6. Let d(i) = 0. What is i?
-1/2, 1
Suppose -3*j + 50 = 4*f, 0 = -0*j - 5*j - 5*f + 80. Let v = j - 13. Determine d so that -1/2*d**3 - 5/2*d + 2*d**2 + v = 0.
1, 2
Factor -1 - 1/2*o + 1/2*o**2.
(o - 2)*(o + 1)/2
Factor 4/7*h**2 - 2/7 - 2/7*h + 4/7*h**3 - 2/7*h**5 - 2/7*h**4.
-2*(h - 1)**2*(h + 1)**3/7
Let i be 66/(-110) + 29/15. Factor i + 0*n - n**2 - 1/3*n**3.
-(n - 1)*(n + 2)**2/3
Let v be (-2)/7 - (-64)/28. Let g(w) be the first derivative of -3/5*w**v + 4/15*w**3 + 2/5*w + 2. Determine j so that g(j) = 0.
1/2, 1
Let 8*g**2 + 25*g**2 + 36*g - 3*g**5 + 12 - 3*g**3 + 6*g**3 - 9*g**4 = 0. What is g?
-2, -1, 2
Let a(j) be the second derivative of j**8/504 + 8*j**7/1575 + j**6/900 - j**5/225 - j**2/2 - j. Let b(o) be the first derivative of a(o). Solve b(p) = 0.
-1, 0, 2/5
Find u such that 3/7*u**2 - 6/7 - 3/7*u = 0.
-1, 2
Let r(i) be the first derivative of 10*i**3/21 + 12*i**2/7 + 8*i/7 + 11. Find m such that r(m) = 0.
-2, -2/5
Let g be (-6)/9*((-129)/12 - -1). Let n(f) be the second derivative of 0 + g*f**3 - f + 27/20*f**5 + 5*f**4 + 3*f**2. Let n(s) = 0. Calculate s.
-1, -2/9
Let r = -1 + 5. Let 15*x**2 + 4*x**2 - 25*x**3 - 2*x**2 + 3*x**2 - r*x = 0. Calculate x.
0, 2/5
Let c(w) = -w**2 - 8*w - 2. Let t be c(-7). Suppose -3*j + 5*a + 0*a + 1 = 0, -5*j + 5 = -t*a. What is z in 3*z - 1/3 - 9*z**j + 9*z**3 = 0?
1/3
Let j be -4 - 1*(2 - -12). Let p be (-3)/j - (-88)/48. Factor -1/2*a**3 + 0 + 0*a - 7/4*a**4 + 1/4*a**p - a**5.
-a**2*(a + 1)**2*(4*a - 1)/4
Let v(u) be the third derivative of -u**10/75600 - u**9/30240 - 2*u**5/15 - u**2. Let c(y) be the third derivative of v(y). Determine t, given that c(t) = 0.
-1, 0
Let p(b) be the first derivative of -45/2*b**2 - 25*b**3 + 45/4*b**4 + 7 + 81/5*b**5 - 6*b. Solve p(s) = 0.
-1, -1/3, -2/9, 1
Let f(a) be the third derivative of -a**8/840 + a**6/90 - a**4/12 - 7*a**3/6 - a**2. Let r(v) be the first derivative of f(v). Solve r(m) = 0.
-1, 1
Let s = -1 + 85. Let q be 8/(-12) - (-104)/s. Determine a so that -2/7*a + q*a**2 - 2/7*a**3 + 0 = 0.
0, 1
Let p = -10 - -10. Let m be (p + (-3)/15)/(-1). Factor 0 - 1/5*v**3 - 2/5*v**2 - m*v.
-v*(v + 1)**2/5
Let a(l) be the second derivative of l**6/150 + l**5/100 + 9*l. Let a(f) = 0. Calculate f.
-1, 0
Let z(k) be the second derivative of -3/20*k**5 + 3*k**2 + 0 - 5/2*k**3 + 4*k + k**4. Factor z(v).
-3*(v - 2)*(v - 1)**2
Suppose -5*b + 23 = 2*f, 8*b = 3*b - 5*f + 35. Let l(u) = u - 3. Let t be l(5). Factor -t*m**2 + b*m**2 - 1 + 0.
(m - 1)*(m + 1)
Let a(k) be the first derivative of -6 + 3*k + 1/12*k**4 - 5/9*k**3 + 1/2*k**2. Solve a(x) = 0 for x.
-1, 3
Let j(l) = -12*l**3 - 10*l + 10. Let r(g) = g**3 + g - 1. Let v(k) = j(k) + 10*r(k). Factor v(f).
-2*f**3
Let t(m) be the third derivative of m**7/1365 + m**6/390 - 7*m**5/390 + m**4/39 + 43*m**2. Factor t(p).
2*p*(p - 1)**2*(p + 4)/13
Solve 0*x**5 - 9*x + 0*x**5 + 12*x**3 - 3*x**5 + 0*x**5 - 6*x**2 + 6 = 0 for x.
-2, -1, 1
Let r be (-16)/12*(-6)/28. Let -2/7*i**2 + r + 0*i = 0. What is i?
-1, 1
Let p(m) = -4*m**2 + 4*m - 6. Let u(q) = q**2 - q + 1. Suppose 0 = 5*h - h. Suppose 3*n + h = 9. Let b(j) = n*p(j) + 14*u(j). Factor b(z).
2*(z - 2)*(z + 1)
Let u(m) be the first derivative of 8*m**6/3 - 64*m**5/5 + 13*m**4 + 52*m**3/3 - 32*m**2 + 16*m + 1. Find a, given that u(a) = 0.
-1, 1/2, 2
Let v(p) be the second derivative of -5/12*p**3 + 9/40*p**5 + 4*p + 0 + 1/8*p**4 + 1/4*p**2. Factor v(j).
(j + 1)*(3*j - 1)**2/2
Let x(z) = z**2 + z + 2. Let h be x(0). Determine v, given that 20*v**4 + 4*v**5 - 16*v**4 - 4*v**h - 2*v - 2*v**5 = 0.
-1, 0, 1
Factor o**2 + 12*o - 3*o**2 + 40 - 4*o**2 + 2*o**2.
-4*(o - 5)*(o + 2)
Let w(h) = -2*h - 3. Let y be w(-4). Find v such that -5*v + y*v + 2*v**3 = 0.
0
Suppose -4*d = 2*u - 0*u - 16, -3*u - 5*d = -22. Suppose -u = -s - 1. Factor 1/2*z**s + z + 0 - 3/2*z**2.
z*(z - 2)*(z - 1)/2
Let i(q) be the third derivative of q**6/360 - q**5/180 - 5*q**4/72 - q**3/6 + 5*q**2. Solve i(m) = 0 for m.
-1, 3
Let s(y) = y**3 + 3*y**2 - y - 1. Let a be s(-3). Factor 2*p**4 - 2*p**2 + 5*p**2 - 3*p**4 - a*p**2.
-p**2*(p - 1)*(p + 1)
Let y(l) be the second derivative of -l**6/60 - l**5/40 + l**4/12 + 10*l. Factor y(i).
-i**2*(i - 1)*(i + 2)/2
Suppose 8 = -2*b + 4*b. What is x in 4*x**b + x**5 - x**2 - 3*x**4 - x**3 + 0*x**3 = 0?
-1, 0, 1
Let x(d) be the second derivative of -d**5/210 + d**4/84 + 2*d**3/21 - 2*d**2 - 2*d. Let f(n) be the first derivative of x(n). Factor f(j).
-2*(j - 2)*(j + 1)/7
Let t(l) be the third derivative of -l**7/490 + l**6/35 - 11*l**5/70 + 3*l**4/7 - 9*l**3/14 - 12*l**2. Factor t(m).
-3*(m - 3)**2*(m - 1)**2/7
Let a(m) be the third derivative of -m**8/30240 - m**7/2520 - m**6/540 + m**5/20 + 4*m**2. Let c(b) be the third derivative of a(b). Factor c(f).
-2*(f + 1)*(f + 2)/3
Suppose 3*u - 5*u = -6. Suppose -2*q - u*j = -6, 0 = -q - 0*j + j - 2. Factor -2/3*f + 2/3*f**2 - 2/3*f**4 + q + 2/3*f**3.
-2*f*(f - 1)**2*(f + 1)/3
Let v(z) = z**2 - z - 1. Let x be 3*((-6)/(-9))/(-2). Let c(k) = 7*k**2 - 4*k - 6. Let a(g) = x*c(g) + 6*v(g). Factor a(h).
-h*(h + 2)
Let l(p) = 9*p**2 - p - 6. Let z(x) = -100*x**2 + 10*x + 65. Let n(a) = 45*l(a) + 4*z(a). Factor n(b).
5*(b - 2)*(b + 1)
Let z be 6 - 2/(2/3). Let n = 9 - -2. Factor 9*r**2 - 3*r**z + 2*r**3 - n*r**2.
-r**2*(r + 2)
Let s(k) = -10*k**5 - 4*k**3 + 7*k. Let z(p) = 3*p**5 + p**3 - 2*p. Suppose 2*j - 6 - 8 = 0. Let h(t) = j*z(t) + 2*s(t). Solve h(x) = 0 for x.
-1, 0, 1
Let m(b) be the first derivative of -1/3*b**2 - 1/18*b**6 + 1/4*b**4 - 1/15*b**5 + 3 + 1/9*b**3 + 0*b. What is t in m(t) = 0?
-2, -1, 0, 1
Solve -21/2*s**3 + s - 3/2*s**2 - 25/2*s**4 + 0 - 9/2*s**5 = 0.
-1, 0, 2/9
Let a be (-3)/(-10) - (-6)/(-30). Let p(v) be the first derivative of 0*v + 2/15*v**3 + 2 + 0*v**2 - a*v**4. Factor p(x).
-2*x**2*(x - 1)/5
Let r be (-2)/9 + 1097/36. Let c = 31 - r. Factor c*v**3 + 1/4*v**2 + 0 + 1/4*v**5 + 3/4*v**4 + 0*v.
v**2*(v + 1)**3/4
Let x(o) be the first derivative of o**4 - 16*o**3/3 - 22*o**2 - 24*o - 16. Factor x(t).
4*(t - 6)*(t + 1)**2
Let b(x) be the second derivative of -6*x**7/7 - 4*x**6/5 + 8*x**5/5 + 2*x**4 + 2*x**3/3 - 28*x. Determine m, given that b(m) = 0.
-1, -1/3, 0, 1
Let z(y) = -y. Let i be z(-4). Factor 4*n**5 + 2*n**2 - 2 + 3*n**2 - 5*n**4 - n**i - 4*n**3 + 3*n**2.
2*(n - 1)**3*(n + 1)*(2*n + 1)
Let x be ((-18)/147)/(27/(-63)). Suppose -3*o - 25 = -5*t, 12 = -2*t - 2*t - 4*o. Factor -2/7*i**4 - 2/7*i - 2/7 + 4/7*i**3 + 4/7*i**t - x*i**5.
-2*(i - 1)**2*(i + 1)**3/7
Let l be 1 + -2 + (8 - 1). Suppose -2*f + f + l = -q, f + 14 = -4*q. Let -4*r - f*r**3 + 3*r + r**2 - r**4 + 3*r**3 = 0. Calculate r.
-1, 0, 1
Let g = 21 + -21. Let m(y) be the second derivative of 1/20*y**5 + 0*y**3 + 1/12*y**4 + 2*y + 0 + g*y**2. Factor m(k).
k**2*(k + 1)
Let t(v) be the third derivative of -v**8/4480 + v**7/1680 - v**4/6 - v**2. Let u(b) be the second derivative of t(b). Factor u(i).
-3*i**2*(i - 1)/2
Let i be 1*3 + (-1254)/(-270). Let h = i - 36/5. Let -2/9 - 4/9*a + 0*a**2 + h*a**3 + 2/9*a**4 = 0. What is a?
-1, 1
Let q(d) be the second derivative of 0 + 15/4*d**4 + 7*d + 21/20*d**5 + 0*d**2 + 1/10*d**6 + 9/2*d**3. Factor q(a).
3*a*(a + 1)*(a + 3)**2
Suppose d + 0*j + 4*j - 14 = 0, 2*j = 4*d - 2. Let u = 0 + d. Factor 6*f**3 + 0*f**3 + 2*f**5 + 8*f**4 + 2*f**u - 2*f**4.
2*f**2*(f + 1)**3
Let h(g) = -2*g**2 + 9*g - 6. Let q(j) = -j**2 + 3*j - 2. Suppose 4*c = -31 + 7. Let y(z) = c*h(z) + 17*q(z). Factor y(x).
-(x + 1)*(5*x - 2)
Let b(n