**2. Factor c(x).
3*(x - 2)*(x - 1)*(x + 4)**3
Let i be (35/14 + -1)*4/3. Factor 0*s + 1/2*s**i + 0 - 1/4*s**3.
-s**2*(s - 2)/4
Let f(p) be the second derivative of -p**5/20 + p**4/18 + 7*p**3/18 + p**2/3 - 5*p. Factor f(b).
-(b - 2)*(b + 1)*(3*b + 1)/3
Let p(z) = -z**4 + 30*z**3 + 296*z**2 + 1374*z + 2401. Let f(m) = -3*m**4 + 61*m**3 + 593*m**2 + 2749*m + 4802. Let k(l) = 2*f(l) - 5*p(l). Factor k(d).
-(d + 7)**4
Suppose 0 = -5*c - 25, 5*z + 5*c - 7 = 3*z. Let m be z/3 + (-1)/3. Let -4*j**4 - 3*j**3 + 2*j**m + 0*j**4 + 5*j**3 = 0. What is j?
0, 1
Let x(b) be the third derivative of 0*b**3 + 0 + 1/660*b**6 + 0*b**5 - 3*b**2 - 1/132*b**4 + 0*b. What is y in x(y) = 0?
-1, 0, 1
Let x = -15 - -30. Factor -4*t**5 - 9*t**2 - x*t**4 - t**2 + 4*t**3 - 2 + 3 - 24*t**3.
-(t + 1)**4*(4*t - 1)
Let z(l) = 2*l**2 + 1. Let o(d) = 3*d**2 - d + 2. Let b(q) = -3*o(q) + 4*z(q). What is s in b(s) = 0?
1, 2
Let x(v) = -91*v + 96*v - 8*v**2 + v**2 + 5. Suppose -4 - 16 = -4*m. Let k(p) = 3*p**2 - 2*p - 2. Let y(d) = m*k(d) + 2*x(d). Factor y(h).
h**2
Let o(w) be the first derivative of 1/2*w**2 + 0*w + 3 + 1/4*w**4 - 2/3*w**3. Factor o(d).
d*(d - 1)**2
Let m(r) be the third derivative of -r**6/240 + r**5/60 - r**4/48 - 5*r**2. Suppose m(o) = 0. Calculate o.
0, 1
Let b(h) be the second derivative of h**6/900 - h**5/100 + h**4/30 + h**3/6 + 3*h. Let p(y) be the second derivative of b(y). Find i such that p(i) = 0.
1, 2
Let -2/5*y**3 + 0*y**2 + 14/5*y - 12/5 = 0. Calculate y.
-3, 1, 2
Let t(x) be the second derivative of -x**6/2 - 3*x**5/20 + 33*x**4/10 - 22*x**3/5 + 12*x**2/5 + 23*x. Find b such that t(b) = 0.
-2, 2/5, 1
Suppose 52*p = 38*p. Factor -2/3*d**2 + p + 0*d - 2/3*d**4 - 4/3*d**3.
-2*d**2*(d + 1)**2/3
Let v(b) be the second derivative of -3/5*b**2 + 1/50*b**5 + 0 - b - 1/6*b**4 + 7/15*b**3. Solve v(h) = 0.
1, 3
Suppose -5*q + 5 = -2*s - 20, -3*q - 3*s = -15. Factor 1/2*i**q + 1/2*i**2 + 0*i - 1/2*i**4 + 0 - 1/2*i**3.
i**2*(i - 1)**2*(i + 1)/2
Let q be (3 - -1 - 5) + 6/2. Let p(z) be the first derivative of -3 - 1/2*z - 1/6*z**3 + 1/2*z**q. Find g such that p(g) = 0.
1
Let x(w) be the first derivative of w**4/6 + 4*w**3/9 - w**2 + 5. Find r such that x(r) = 0.
-3, 0, 1
Let v(j) = 6*j**2 + j - 1. Let t be v(1). Determine s, given that t*s**2 - 3*s**4 - 5*s**5 + 0*s**4 + 2*s**5 + 3*s - 3*s**4 = 0.
-1, 0, 1
Factor 4/9*o - 4/9*o**3 - 2/9*o**4 + 0 + 2/9*o**2.
-2*o*(o - 1)*(o + 1)*(o + 2)/9
Suppose -4*g - 20 = -5*x, -3*g + 7 = 5*x - 13. Let s(d) be the first derivative of 2 + 2*d**2 + 1/3*d**3 + x*d. Factor s(h).
(h + 2)**2
Factor 3*z**3 + 5*z**2 - 11*z**3 - 12*z + 3*z**2 + 12*z**3.
4*z*(z - 1)*(z + 3)
Let g = 21/16 - -1/48. Suppose 2*q = -10, -5*k - 12 = -4*q - 42. What is w in 2/3 + 2/3*w**k + g*w = 0?
-1
Let o be (0/12 - (5 - 1)) + 8. What is u in -490*u**5 + 0 - 2*u**2 - 4*u + 77/2*u**o + 93*u**3 = 0?
-2/7, 0, 1/4, 2/5
Let p = -102 + 104. Factor 1/6*n**p + 1/2 + 2/3*n.
(n + 1)*(n + 3)/6
Let n(q) = q**3 - q**2 - q - 1. Let c(v) = 4*v**3 - 7*v**2 - 6*v - 5. Suppose 0*y + 5*y = 25. Let i(h) = y*n(h) - c(h). Factor i(f).
f*(f + 1)**2
Factor 0*y**2 + 28*y + 2*y**2 - y**2 - 5*y**2.
-4*y*(y - 7)
Let w(z) be the second derivative of -2*z + 0 - 1/48*z**4 + 1/6*z**3 - 1/2*z**2. Factor w(s).
-(s - 2)**2/4
Determine z so that -8/7*z**2 + 6/7 - 22/7*z = 0.
-3, 1/4
Let w(i) be the first derivative of 1/12*i**3 + 0*i**2 - 1/4*i - 3. Suppose w(u) = 0. What is u?
-1, 1
Let s be (-3 + -1)/(4/(-10)). Suppose -2*l = n - s - 1, -5*n = 5*l - 40. Factor 6*a**2 - a - 3*a**4 + 4*a - 6*a**3 + 0*a - 3 + 3*a**n.
3*(a - 1)**3*(a + 1)**2
Let z(k) be the second derivative of k**6/120 - k**5/20 + k**4/8 - k**3/6 + k**2/8 - 4*k. Factor z(g).
(g - 1)**4/4
What is j in 0 - 40/7*j - 4/7*j**2 = 0?
-10, 0
Suppose -2*q + 10 = 0, -13*t = -10*t - 3*q + 6. Factor -4/3*r**t + 0 + 4/3*r**4 - 4/3*r**2 + 4/3*r.
4*r*(r - 1)**2*(r + 1)/3
Let b = 2/255 - -20/51. Suppose -2/5 + b*u**2 + 0*u = 0. What is u?
-1, 1
Let h be (8/(-3) - (-1)/(-3))/(-1). Find x, given that -2/3*x + 2/3*x**h - 2/3*x**2 + 2/3 = 0.
-1, 1
Let a = -169 + 171. Factor 2/11*i**5 - 8/11*i**4 + 12/11*i**3 - 8/11*i**a + 2/11*i + 0.
2*i*(i - 1)**4/11
Let k(z) be the second derivative of -z**6/10 + 3*z**5/20 + z**4/4 - z**3/2 - 3*z. Find a, given that k(a) = 0.
-1, 0, 1
Solve -3*l**4 - 22 - 21*l**3 - 15*l**2 - 60*l - 2 - 39*l**2 = 0.
-2, -1
Let a(b) = 18*b**3 + 98*b**2 + 90*b + 36. Let o(p) = 2*p**3 + 11*p**2 + 10*p + 4. Let t(i) = 6*a(i) - 52*o(i). Factor t(f).
4*(f + 1)**2*(f + 2)
Factor 0 + 0*z**2 + 0*z + 0*z**3 + 3/7*z**4.
3*z**4/7
Suppose -4 - 2*l**2 + l**2 + 5 = 0. What is l?
-1, 1
Let i(g) be the third derivative of -1/100*g**6 + 0*g + 0*g**4 - 3*g**2 + 0 + 1/100*g**5 + 0*g**3 + 1/350*g**7. Suppose i(s) = 0. What is s?
0, 1
Let g(u) = -u**4 - 7*u**2 - 1. Let t(s) = -8*s**4 - 50*s**2 - 8. Let i(c) = 44*g(c) - 6*t(c). Let i(l) = 0. Calculate l.
-1, 1
Suppose -4*v + 2*d + 2 = 0, -d = -0*v + 2*v - 11. Let h be (-38)/(-8) - v/(-12). Factor -x**2 + 5*x**4 - 4*x**4 + 0*x**2 + x**h - x**3.
x**2*(x - 1)*(x + 1)**2
Determine h so that 7/3*h**2 - h**3 - 5/3*h + 1/3 = 0.
1/3, 1
Let w(f) be the second derivative of f**6/150 - 3*f**5/100 + f**4/30 - 32*f. Factor w(h).
h**2*(h - 2)*(h - 1)/5
Suppose 128 - 6*s**4 + 1000*s + s**4 - 753 - 450*s**2 + 80*s**3 = 0. What is s?
1, 5
Let i(r) be the third derivative of -r**6/360 - r**5/120 + r**3/2 - 4*r**2. Let f(d) be the first derivative of i(d). Factor f(z).
-z*(z + 1)
Let k = 15929/1535 - -7/307. Let o = -10 + k. Determine y so that 0*y - 2/5 + o*y**2 = 0.
-1, 1
Let u = -13 + 16. Let z(d) be the first derivative of -5*d**2 + 2*d + 14/3*d**u - 3/2*d**4 - 4. Let z(c) = 0. What is c?
1/3, 1
Let q(g) be the first derivative of -3*g**5/5 + 2*g**4 - 2*g**3 + g - 25. Factor q(k).
-(k - 1)**3*(3*k + 1)
Let s(l) be the second derivative of -2*l**6/15 + l**5/5 + l**4/3 - 2*l**3/3 + 41*l + 1. Suppose s(n) = 0. What is n?
-1, 0, 1
Let a(q) = -8*q**3 + 2*q**2 + q. Let l be a(-1). Let u be 1 - -4*(-2)/(-4). Find m, given that -2*m**2 + 12*m**2 + 2*m**u - 2 + 10 + l*m + 7*m = 0.
-2, -1
Let s(b) be the third derivative of -6*b**2 + 0*b + 1/2*b**3 + 0 - 1/4*b**4 + 1/20*b**5. Find f such that s(f) = 0.
1
Suppose 16/3*d - 64/3 + 12*d**2 + 11/3*d**3 + 1/3*d**4 = 0. What is d?
-4, 1
Suppose -13*n + 5 = -12*n. Suppose p + 9 = f - p, -3*f = -n*p - 24. Factor -y**f + 1/3*y**2 - 2/3 + 1/3*y**4 + y.
(y - 2)*(y - 1)**2*(y + 1)/3
Suppose 0 = 49*x - 42*x - 21. Suppose -3*s + 4 = 2*c - 8, s - 4 = -2*c. Determine q, given that c + 7/2*q**x - q - 5/2*q**2 = 0.
-2/7, 0, 1
Factor -1/8*z**5 + 0*z**4 + 0 + 1/4*z**3 + 0*z**2 - 1/8*z.
-z*(z - 1)**2*(z + 1)**2/8
Let b(f) be the first derivative of 0*f**3 + 1/3*f**2 - 1/18*f**4 + 2 + f. Let j(t) be the first derivative of b(t). What is i in j(i) = 0?
-1, 1
Let t be (-48)/(-22) + (-6)/33. Let n(m) = -m**3 - 2*m**2 + m. Let i(c) = -c**2 + c. Let p(z) = t*i(z) - 2*n(z). Factor p(u).
2*u**2*(u + 1)
Suppose -5*n = 5*h + 5, -8 = h + h + 4*n. Suppose -h*r = r - 12. Factor c**3 + c**r - 3*c**3 + 2*c**5 + c**4 - 2*c**2.
2*c**2*(c - 1)*(c + 1)**2
Suppose 0 = -5*g - 9 + 24. Let b(s) = -9*s**2 + 3*s + 3. Let r(u) = u**3 - 17*u**2 + 5*u + 5. Let i(c) = g*r(c) - 5*b(c). Solve i(o) = 0.
0, 2
Let q(o) be the second derivative of -o**4/96 - o**3/16 - o**2/8 - 16*o. What is x in q(x) = 0?
-2, -1
Let k(y) be the first derivative of y**9/12096 + y**8/1680 + y**7/560 + y**6/360 + y**5/480 - y**3 + 6. Let h(j) be the third derivative of k(j). Factor h(o).
o*(o + 1)**4/4
Suppose -57 = -4*m + 3*h, -m + 3*h + 16 = -5. Let o be (-1 + -11)*(-8)/m. Solve -43/2*j**2 - 1/2 + 73/2*j**3 - 28*j**4 + 11/2*j + o*j**5 = 0.
1/4, 1
Let 14*x**2 - 29*x**2 - 2*x**3 + 25*x**2 = 0. What is x?
0, 5
Let q(i) = -i**3 - 5*i**2 + 5*i - 3. Let r be q(-6). Determine j, given that -r*j**3 + 2*j**4 + 19*j**2 - j**3 - 17*j**2 = 0.
0, 1
Let r = 90 - 449/5. What is t in 0*t**3 - r*t**4 - 2/5*t + 0 + 3/5*t**2 = 0?
-2, 0, 1
Let c(y) be the first derivative of y**5/5 + y**4/2 - 4*y**3/3 - y**2 + 3*y + 11. Solve c(u) = 0 for u.
-3, -1, 1
Let c(m) be the second derivative of 1/48*m**5 + 0 + 1/48*m**4 + 0*m**3 + 1/160*m**6 + m - m**2. Let i(k) be the first derivative of c(k). Factor i(w).
w*(w + 1)*(3*w + 2)/4
Let -9*o + 12*o**2 - 7*o**2 - 20 - 6*o = 