tive of d**4/66 - 4*d**3/33 + 24*d + 2. Let f(s) = 0. What is s?
0, 4
Factor 3/5*z**2 + 0 + 0*z + 1/5*z**4 + 4/5*z**3.
z**2*(z + 1)*(z + 3)/5
Let i = -19218/35 + 549. Let o = i + 2/7. Find w such that 2/5*w**3 + 0*w**4 - 1/5*w**5 + 0 - o*w + 0*w**2 = 0.
-1, 0, 1
Let w(d) be the first derivative of -2*d**3/9 - 20*d**2/3 - 200*d/3 + 15. Factor w(k).
-2*(k + 10)**2/3
Let a(c) be the second derivative of c**4/2 + 5*c**3/3 + 2*c**2 + 9*c. Factor a(q).
2*(q + 1)*(3*q + 2)
Solve 12*l**4 + 28*l**5 - 16/7 + 96/7*l - 68/7*l**2 - 292/7*l**3 = 0 for l.
-1, 2/7, 1
Determine b so that -2/5*b**4 + 2*b**3 + 2/5*b**2 - 4/5*b - 6/5*b**5 + 0 = 0.
-1, 0, 2/3, 1
Let j(d) = -20*d + 20. Let o(q) = q**2 - 1. Let k(t) = j(t) + 4*o(t). Factor k(i).
4*(i - 4)*(i - 1)
Suppose 2*l - 2*s = -3*s + 5, -5*s = -5*l - 25. Suppose l = -0*y + y. Solve y - 2/3*p**4 + 2/3*p**3 + 0*p**2 + 0*p = 0 for p.
0, 1
Let n(a) = -3*a**2 - 7*a**4 - 5*a + a**3 - 3*a**3 - 3 - 2 - 3*a**3. Let w(s) = -s**4 - s**3 - s**2 - s - 1. Let p(d) = n(d) - 5*w(d). Factor p(f).
-2*f**2*(f - 1)*(f + 1)
Let b = 67/155 - 1/31. Solve 0*q + 0 + 4/5*q**3 + b*q**2 + 2/5*q**4 = 0.
-1, 0
Let u(s) = 13*s**2 + 2*s - 11. Suppose -4*n + 2*i = 48, -4*n - 15 = -5*i + 39. Let x(m) = 7*m**2 + m - 6. Let f(h) = n*x(h) + 6*u(h). Let f(a) = 0. What is a?
-1, 0
Let t(r) = -5*r**3 - r**2 + 4. Let u(q) = -4*q**3 - q**2 + 3. Let f be ((-4)/8)/(1/(-6)). Let x(a) = f*t(a) - 4*u(a). Factor x(z).
z**2*(z + 1)
Let p(l) be the first derivative of -1/3*l**6 + 0*l**2 + 2/3*l**3 - 2 - 3/2*l**4 + 0*l + 6/5*l**5. Determine m so that p(m) = 0.
0, 1
Let l(g) = -5 + 6*g - 6*g**3 + 7*g**3 - 6*g**2 + g**2. Let f be l(4). Factor -1/3*b + 0 - 1/3*b**f - 2/3*b**2.
-b*(b + 1)**2/3
Let i(p) = -p**4 + p**3 - p**2 - p + 1. Let w(x) = 8*x**4 - 3*x**3 - 2*x**2 + 3*x - 3. Let z(d) = 3*i(d) + w(d). Solve z(y) = 0 for y.
-1, 0, 1
Factor -31*f - 4*f**3 - 8*f**2 + 19*f + 3*f**3.
-f*(f + 2)*(f + 6)
Let n(z) = -z**3 + 7*z**2 - 7*z - 4. Let m be n(6). Let d = 17 + m. Determine o so that 24*o - 2 + 2*o**3 + 5*o**2 + 18 + d*o**2 = 0.
-2
Factor -3 - 1/4*f**2 - 13/4*f.
-(f + 1)*(f + 12)/4
Let y(g) = g**4 + 2*g**3 + 5*g**2 - 5*g + 3. Let o(j) = -3*j**4 - 4*j**3 - 11*j**2 + 11*j - 7. Let i(f) = 6*o(f) + 14*y(f). Factor i(n).
-4*n*(n - 1)**2*(n + 1)
Let y be ((-2)/(-4))/(5/30). Let f be y/9*(11 + 1). Find p such that f - 5 + 3 + 3*p + p**2 = 0.
-2, -1
Let p = -3 + 5. What is q in q**3 + 6*q**p + 5*q**3 - 3*q**2 - 6*q + 0*q**3 - 3*q**4 = 0?
-1, 0, 1, 2
Suppose -5 = u - 1. Let s be (2/u)/(-1 + 0). Determine l so that s*l**3 + 0 + 1/2*l**2 + 0*l = 0.
-1, 0
Let r**5 + r + 1/2 - 2*r**3 + 1/2*r**4 - r**2 = 0. What is r?
-1, -1/2, 1
Let f = -17 - -14. Let n be (f/(-9))/(16/12). Factor 0*j**3 - n*j**2 + 0 + 0*j + 1/4*j**4.
j**2*(j - 1)*(j + 1)/4
Suppose -3*f = -5*u - 37 + 147, 0 = -2*u - 2*f + 44. Suppose 27 = 3*i - 3*n, -i = 5*n - 7 + u. Let 4*t**4 - t**i + t**4 - 6*t**4 = 0. What is t?
-1, 0
Let b be 0 + (2/2 - -5). Let x(j) = -15*j**3 + 3*j**2 + 12*j - 6. Let y(h) = 15*h**3 - 4*h**2 - 11*h + 5. Let d(o) = b*y(o) + 5*x(o). What is g in d(g) = 0?
-2/5, 0, 1
Solve 0*u**2 + 3/8 - 3/4*u**3 - 3/8*u**4 + 3/4*u = 0 for u.
-1, 1
Let m(w) be the second derivative of 2*w**6/135 - 14*w**5/45 + 23*w**4/9 - 280*w**3/27 + 200*w**2/9 + 20*w. Solve m(n) = 0.
2, 5
Let w(q) be the first derivative of -q**8/84 + 4*q**7/35 - 2*q**6/5 + 8*q**5/15 - 2*q**2 - 1. Let h(s) be the second derivative of w(s). Factor h(o).
-4*o**2*(o - 2)**3
Let i(s) be the third derivative of -1/48*s**4 + 2*s**2 + 0*s - 1/80*s**5 + 0*s**3 - 1/480*s**6 + 0. Factor i(o).
-o*(o + 1)*(o + 2)/4
Let j(y) be the first derivative of -y**5/210 + y**4/84 + 2*y**3/21 - y**2 + 2. Let o(h) be the second derivative of j(h). Let o(g) = 0. What is g?
-1, 2
Suppose 4*t - 48 = -40. Let 2/3*r**4 + 0*r + 0*r**3 + 0 - 2/3*r**t = 0. Calculate r.
-1, 0, 1
Let n be (0 - -2) + 1 + 975/(-351). Suppose -4/9*h + 2/9*h**2 + n = 0. Calculate h.
1
Let y(d) = -d**3 - 2*d**2 + 10*d + 21. Let o be y(-3). Find r such that 0*r**4 - 1/2*r**3 + 1/4*r + 0 + 1/4*r**5 + o*r**2 = 0.
-1, 0, 1
Solve 1355 + 0*n**2 - 1355 + 6*n - 3*n**2 = 0.
0, 2
Let u(l) be the first derivative of -l**6/30 - l**5/20 + l**4/12 + l**3/6 - l + 2. Let t(x) be the first derivative of u(x). Solve t(q) = 0.
-1, 0, 1
Let k(n) be the first derivative of -n**5/240 - n**4/32 - n**3/12 - n**2 + 1. Let r(u) be the second derivative of k(u). Factor r(d).
-(d + 1)*(d + 2)/4
Let m(v) = 2*v**2 - 10*v + 2. Let l(n) = 0*n**2 + 4*n**2 + 11*n - 2 - 5*n**2. Let o = 6 - 9. Let t(j) = o*l(j) - 4*m(j). Factor t(a).
-(a - 1)*(5*a - 2)
Let i be (1 - 4/(-2))/1. Find a, given that 14*a**3 - 1 - 14*a - 3 + a**2 + i*a**2 = 0.
-1, -2/7, 1
Factor 5*u**3 - 45*u**2 + 135*u + 0*u**3 - 17 - 11 - 107.
5*(u - 3)**3
Let g(u) be the second derivative of -u**5/210 + u**2/2 + 4*u. Let b(h) be the first derivative of g(h). Factor b(v).
-2*v**2/7
Let b = 9354641/3470583 + -119/8831. Let x = b - 2/131. Factor 0*o + 0 + 2/3*o**4 + 8/3*o**2 + x*o**3.
2*o**2*(o + 2)**2/3
Factor -21/8*x + 9/8*x**3 - 3/4*x**2 - 3/4.
3*(x - 2)*(x + 1)*(3*x + 1)/8
Suppose 2*w + 0*w = 0. Suppose o**2 + 8 - 7 + 2*o + w*o = 0. Calculate o.
-1
Suppose -1/3*t**4 - 4/3 + t**2 - 4/3*t + 2/3*t**3 = 0. What is t?
-1, 2
Let u(g) = -6*g**3 + 3*g**2 + 4*g - 5. Let x(i) = -48*i**3 + 22*i**2 + 32*i - 40. Let m(t) = 51*u(t) - 6*x(t). Factor m(c).
-3*(c - 1)**2*(6*c + 5)
Factor -7*c**2 + 5 - c**3 - 3*c + 0*c**4 + 4*c**3 + 5*c**4 - 3.
(c - 1)*(c + 1)**2*(5*c - 2)
Suppose 4*h - 5*y + 121 = 0, h - 2*y = -6*y - 46. Let w be 12/(-1 + h/(-4)). Factor 18/5*i**3 - w + 6/5*i**2 - 16/5*i.
2*(i - 1)*(3*i + 2)**2/5
Factor -6*g**2 + 4 + 6*g**2 - 6*g - g**3 + 3*g**3.
2*(g - 1)**2*(g + 2)
Let v(t) be the first derivative of 0*t - t**3 + 0*t**2 + 9/5*t**5 - 3/2*t**4 + 4. Suppose v(w) = 0. Calculate w.
-1/3, 0, 1
Factor 8/5*s**2 + 0 + 0*s + 8/5*s**4 - 4*s**3.
4*s**2*(s - 2)*(2*s - 1)/5
Let n be -3 - -10*6/12. Let u(q) be the first derivative of -4 - 3/20*q**5 + 0*q**n - 3/4*q + 0*q**4 + 1/2*q**3. What is c in u(c) = 0?
-1, 1
Let n = -2609/8190 + 30/91. Let h(c) be the third derivative of 1/270*c**6 + 1/27*c**3 + 0*c**4 + 0 - n*c**5 + 0*c - 2*c**2. Determine d, given that h(d) = 0.
-1/2, 1
Let m(y) = y**4 - y**3 + y - 1. Let g(t) = 4*t**5 + 20*t**4 + 132*t**3 + 172*t**2 + 104*t + 48. Let r(v) = -g(v) - 16*m(v). Factor r(z).
-4*(z + 1)**3*(z + 2)*(z + 4)
Let f = 67 - 67. Let g(v) be the third derivative of 2/3*v**3 + f - 1/30*v**5 + 0*v - 1/12*v**4 - 4*v**2. Determine m so that g(m) = 0.
-2, 1
Factor -9*y + 12*y**3 - 75*y**4 + 6*y**2 - 6 + 38*y**4 + 37*y**4 - 3*y**5.
-3*(y - 2)*(y - 1)*(y + 1)**3
Let h(g) be the second derivative of g**9/20160 + g**8/13440 - g**7/10080 - g**4/12 + 9*g. Let o(m) be the third derivative of h(m). Factor o(d).
d**2*(d + 1)*(3*d - 1)/4
Let y(a) be the second derivative of a**5/160 - a**4/32 + a**3/24 + 13*a. Factor y(s).
s*(s - 2)*(s - 1)/8
Let u be (3/(-2))/((-6)/8). Factor -3*t**3 - t**4 - 3*t**2 - 5*t + 0*t**4 + 0*t**u + 4*t.
-t*(t + 1)**3
Let p(v) be the third derivative of -1/20*v**5 - 1/4*v**4 + 2*v**2 + 0 - 1/2*v**3 + 0*v. Find x such that p(x) = 0.
-1
Factor 2/9*m**2 - 8/9*m + 2/3.
2*(m - 3)*(m - 1)/9
Suppose 6*c - 4*c**3 + 0 + 16/9*c**4 - 2/9*c**5 + 0*c**2 = 0. What is c?
-1, 0, 3
Let x be 1/3*(-6)/(-8). Solve 0 - x*p**2 - 1/4*p = 0.
-1, 0
Let p(b) be the first derivative of b**7/70 - b**6/40 - b**5/10 - b**2/2 - 6. Let w(u) be the second derivative of p(u). Factor w(z).
3*z**2*(z - 2)*(z + 1)
Suppose r = -5*j - 9 + 33, -3*r - 4*j + 50 = 0. Factor -12*s - 6*s**3 + r*s**4 + 8*s**3 - 11*s**4 + 7*s**3.
3*s*(s - 1)*(s + 2)**2
Let a(m) be the second derivative of -m**8/6720 + m**6/1440 + m**3/3 + m. Let k(z) be the second derivative of a(z). Factor k(t).
-t**2*(t - 1)*(t + 1)/4
Suppose -2*b + 2*b = 3*b. Factor 1/6*t**2 + 0 + b*t.
t**2/6
Let i be 4/(-6) - (-473)/660. Let o(g) be the third derivative of -13/60*g**5 + 0*g - 1/210*g**7 + i*g**6 + 0 + 1/2*g**4 - 3*g**2 - 2/3*g**3. Factor o(x).
-(x - 2)**2*(x - 1)**2
Let a be (2/(-12))/(4 + 13/(-2)). Let t(f) be the third derivative of 4/15*f**3 - 21/50*f**5 + 2*f**2 + 0*f + 0 + a*f**4. Factor t(z).
-2*(7*z - 2)*(9*z + 2)/5
Let v(j) = 10*j**4 + 14*j**3 + 4*j**2 - 5*j - 5. Let x(q) = -5*q**4 - 7*q**3 - 2