)/((-25)/20). Factor m*o**2 + 2/3 - 4/3*o.
2*(o - 1)**2/3
Let f = -207 - -1865/9. Find v, given that 0 + f*v**2 + 0*v - 2/9*v**3 = 0.
0, 1
Let k = 100009/3000 - 3/1000. Let t = k + -33. Factor -t*d**3 + 2/3*d**2 + 0 + 0*d.
-d**2*(d - 2)/3
Let b be (-10)/((2 - 6) + 2). Suppose l = 4*z - 0*l - 8, -b*z + 4*l + 10 = 0. Factor 2 + z*f - f**2 + 2*f**2 - 1.
(f + 1)**2
Let b(o) be the third derivative of -o**8/336 - o**7/105 + o**6/120 + o**5/30 + 2*o**2. Factor b(v).
-v**2*(v - 1)*(v + 1)*(v + 2)
Let g(r) = -r**3 + 3*r**2 - 1. Let j be g(2). Determine u, given that 192*u**5 - 160*u**4 + u**2 + 3*u**3 - 5*u**2 + 41*u**j = 0.
0, 1/4, 1/3
Factor 2/9*y**3 + 4/9*y**2 - 4/3 - 10/9*y.
2*(y - 2)*(y + 1)*(y + 3)/9
Suppose 4*z - 5*z = -5. Let 2*y**3 + y - y**3 - y + 2*y**4 + y**z = 0. Calculate y.
-1, 0
Let o(k) be the third derivative of -4*k**6/15 - 2*k**5/3 - k**4/6 + 2*k**3/3 + 10*k**2. Solve o(g) = 0 for g.
-1, -1/2, 1/4
Let m(s) be the second derivative of -s**5/10 + 3*s**4/2 - 9*s**3 + 27*s**2 - 4*s. Factor m(x).
-2*(x - 3)**3
Let a(i) be the second derivative of -i**7/168 + i**6/60 - i**4/24 + i**3/24 - 33*i. Factor a(r).
-r*(r - 1)**3*(r + 1)/4
Suppose m = -3*d - 4, -2*d - 10 = m - d. Let b = -10 - m. Solve 16/7*p**b + 0 + 4/7*p + 22/7*p**2 - 6*p**4 = 0.
-1/3, -2/7, 0, 1
Let v(z) = -z**2 + 1. Let n(i) = 8*i**2 + 40*i - 48. Let f(l) = -n(l) - 12*v(l). Factor f(x).
4*(x - 9)*(x - 1)
Suppose 0 = 5*b + 15 - 40. Let l be 6/b*40/12. Factor -y**3 + l*y - 5*y + y**2 + y**2.
-y*(y - 1)**2
Let s = 99 + -395/4. Suppose 0 = -3*z - 5 - 1, 0 = -2*v + 4*z + 14. Factor 0 - 1/4*p**4 - s*p**2 - 1/2*p**v + 0*p.
-p**2*(p + 1)**2/4
Let z(h) be the second derivative of 0 + 1/13*h**3 + 2/13*h**2 + 1/78*h**4 - 3*h. Let z(t) = 0. What is t?
-2, -1
Let d(r) be the third derivative of -2*r**7/945 - r**6/90 - 2*r**5/135 - 3*r**2. Factor d(s).
-4*s**2*(s + 1)*(s + 2)/9
Let l be 57/11 - (-4)/(-22). Suppose l*x - 2*x = 12. Factor 0*i**2 + 2/7 + 4/7*i**3 - 2/7*i**x - 4/7*i.
-2*(i - 1)**3*(i + 1)/7
Let i(z) be the second derivative of -z**7/1260 - z**6/1440 - 5*z**4/12 - 3*z. Let v(t) be the third derivative of i(t). Factor v(r).
-r*(4*r + 1)/2
Let f(n) be the first derivative of n**5/90 + n**4/54 + 3*n + 3. Let p(d) be the first derivative of f(d). Factor p(t).
2*t**2*(t + 1)/9
Let x = -798/5 - -160. Let r be (-2)/(-3)*(-6)/(-10). Suppose 0 + 2/5*w**3 - r*w**4 + x*w**2 - 2/5*w = 0. Calculate w.
-1, 0, 1
Let f(y) be the first derivative of -y**6/1440 - y**3/3 + 1. Let a(t) be the third derivative of f(t). Let a(w) = 0. What is w?
0
Suppose -y + 7 = 4. Suppose -26 = -y*u + c, 5*u - 4*c = -19 + 53. Factor -u*f**3 - f + 0*f + 11*f**3.
f*(f - 1)*(f + 1)
Let f(y) be the first derivative of -y**6/30 - y**5/5 - 7*y**4/20 - y**3/5 + 38. Solve f(l) = 0.
-3, -1, 0
Suppose 2*u - 30 = 2. Let x = u - 14. Determine s so that 4*s**3 + 2/5 + 4*s**2 + 2*s + x*s**4 + 2/5*s**5 = 0.
-1
Suppose -2*f - 3*a + 2*a = -4, -4*a = -3*f + 17. Suppose o - 4 = 0, -2*m + 4*o = -f + 13. Factor -5*y - y**3 + 3*y**m + 3*y.
2*y*(y - 1)*(y + 1)
Suppose -5*j = -3*u - 49, -4*j + u + u = -38. Suppose 12 = 5*a - j. What is y in 21/5*y**a + 6/5 - 27/5*y**2 - 3*y + 3*y**3 = 0?
-1, 2/7, 1
Let k(c) = 20*c**3 + 52*c**2 - 104*c + 48. Let m(v) = 1. Let b(j) = k(j) - 16*m(j). Suppose b(n) = 0. Calculate n.
-4, 2/5, 1
Let n(a) be the third derivative of -3*a**8/112 - 13*a**7/70 - 11*a**6/20 - 9*a**5/10 - 7*a**4/8 - a**3/2 - 10*a**2. Factor n(w).
-3*(w + 1)**4*(3*w + 1)
Let s = 17 + -17. Let p(j) be the third derivative of -1/16*j**4 - 1/120*j**5 + 0*j + s + 3*j**2 - 1/6*j**3. Solve p(v) = 0.
-2, -1
Let k(h) be the third derivative of 0*h + 1/144*h**6 - 8*h**2 + 0*h**3 + 1/180*h**5 + 0 + 0*h**4. Factor k(u).
u**2*(5*u + 2)/6
Let s(n) be the third derivative of -5*n**8/252 + 34*n**7/315 - 8*n**6/45 + 4*n**5/45 + 3*n**2. Determine c, given that s(c) = 0.
0, 2/5, 1, 2
Let r(p) = 2*p**4 - 13*p**3 + 12*p**2 + 11*p - 13. Let a(k) = 6*k**4 - 38*k**3 + 36*k**2 + 32*k - 40. Let o(u) = -3*a(u) + 8*r(u). Factor o(f).
-2*(f - 2)**3*(f + 1)
Let w(t) be the second derivative of 1/36*t**3 + 0 + 0*t**2 - 2*t + 1/72*t**4. Factor w(x).
x*(x + 1)/6
Suppose 13 = 5*h + c, 3*c + 2 = 4*h - 16. Suppose 0 = 7*x - h*x. Factor -1/3*r**2 + 1/3 + x*r.
-(r - 1)*(r + 1)/3
Let z = -4 - -2. Let p = z - -3. Factor -9/4*d**3 + p - 4*d + 21/4*d**2.
-(d - 1)*(3*d - 2)**2/4
Let s(x) be the third derivative of -1/60*x**6 + 0*x**3 + 0*x**4 + 0 + 0*x - 4*x**2 - 1/30*x**5. Let s(v) = 0. Calculate v.
-1, 0
Factor 3571*a**4 - 3574*a**4 - 3*a**3 + 0*a**3.
-3*a**3*(a + 1)
Let l(n) be the second derivative of 1/75*n**6 + 0*n**2 + 1/30*n**4 + 0 + 3*n + 0*n**3 + 1/25*n**5. Suppose l(x) = 0. What is x?
-1, 0
Let q be (28/42)/((-4)/(-8)). Determine i so that 4/3*i - 1/3*i**2 - q = 0.
2
Let q(n) = -5*n**2 + 2*n - 1. Let p(j) = -j**2. Let o(h) = 4*p(h) - q(h). Let d be o(3). Factor 1/2*g**d + 0 - g**3 + 1/2*g**2 + 0*g.
g**2*(g - 1)**2/2
Let p(r) = 17*r**4 + 10*r**3 - 63*r**2 + 28*r + 16. Let f(i) = -16*i**4 - 11*i**3 + 63*i**2 - 29*i - 17. Let w(a) = 4*f(a) + 5*p(a). Find x such that w(x) = 0.
-2, -2/7, 1
Let q be 6 + ((-36)/4)/(-3). Let -20*x + q*x + 20*x - 6*x**2 + 3*x**2 = 0. What is x?
0, 3
Let f = 1 - -5. Let d(t) = t - 2. Let q be d(6). Factor 0*b**q - f*b**3 - 4*b + 5*b + 2*b**2 + 2*b**5 + 3*b - 2*b**4.
2*b*(b - 2)*(b - 1)*(b + 1)**2
Solve 110 - 10*v - 8*v - 98 + 2*v**2 + 4*v = 0.
1, 6
Suppose 2*x**3 + 0*x + 0 - 1/5*x**4 - 5*x**2 = 0. Calculate x.
0, 5
Let p be 22/8 - (-4)/(-1 - -17). Let b(i) be the first derivative of 1/3*i**2 + 2 + 2/9*i**p + 0*i. Factor b(u).
2*u*(u + 1)/3
Find i such that 5*i**2 + 0*i**4 + 15*i**4 + 439*i + 15*i**3 + 5*i**5 - 439*i = 0.
-1, 0
Let u(d) = d**3 + 20*d**2 + 19*d. Let w be u(-19). Let m(y) be the first derivative of -2/21*y**3 + w*y**2 - 3 + 0*y - 1/14*y**4. Factor m(n).
-2*n**2*(n + 1)/7
Let y = -32 + 35. Let h(r) be the first derivative of 0*r + r**2 - 2 + 4/3*r**y + 1/2*r**4. Factor h(i).
2*i*(i + 1)**2
Let c = 12354/7 + -1762. Determine v, given that -10/7*v - 10/7*v**5 - 8/7*v**2 + 4/7*v**4 + 4/7 + c*v**3 = 0.
-1, 2/5, 1
Let b(f) be the first derivative of -f**5/150 + f**4/60 - 9*f**2/2 + 7. Let g(y) be the second derivative of b(y). Factor g(d).
-2*d*(d - 1)/5
Suppose -10 = -10*y + 5*y. Let t(f) be the second derivative of -y*f + 0*f**3 + 1/42*f**4 + 0 + 0*f**2. Solve t(r) = 0 for r.
0
Let i(r) = -5*r**3 - 11*r**2 + 16*r + 11. Let f(v) be the first derivative of -v**4/4 - 2*v**3/3 + 3*v**2/2 + 2*v + 3. Let p(c) = 22*f(c) - 4*i(c). Factor p(o).
-2*o*(o - 1)*(o + 1)
Factor 12*i**2 + 14*i - 10*i + 2 - 10*i**2.
2*(i + 1)**2
Let w be (6/(-9))/(4/(-30)). Suppose 12 = w*z - z. Factor -i + 2*i**5 - 3*i**2 - 3*i**3 + i**3 + i**3 + z*i**4.
i*(i - 1)*(i + 1)**2*(2*i + 1)
Let g(h) be the third derivative of -h**5/15 - 5*h**4/18 + 4*h**3/9 - 3*h**2. Factor g(n).
-4*(n + 2)*(3*n - 1)/3
Factor -21*r**2 + 15*r**3 - 64*r - 49*r**4 + 48*r**4 - 27*r**2.
-r*(r - 8)**2*(r + 1)
Suppose 15 + 0 = 5*x. Let b be x/(-12) + (-18)/(-8). Factor -a**2 - a**3 + 3*a**b - a**2.
-a**2*(a - 1)
Factor 20*t**3 + t + 8*t**2 + 0*t - 3 - 8*t.
(2*t + 1)**2*(5*t - 3)
Suppose -87*l + l**3 + 40*l + 46*l = 0. Calculate l.
-1, 0, 1
Suppose -j = j - 4. Factor -3*x**3 + 2*x**3 - j*x**3.
-3*x**3
Factor 3*n**2 + 5*n**3 - 10*n**4 - 5*n + 12*n**2 + 5*n**4 + 3 - 13.
-5*(n - 2)*(n - 1)*(n + 1)**2
Let z(c) be the third derivative of c**5/15 - 4*c**4 + 96*c**3 + 4*c**2 - 5. Factor z(t).
4*(t - 12)**2
Let o be -2 - -1*241/120. Let a(r) be the third derivative of 0*r**3 - o*r**6 - 1/60*r**5 + 0*r + 0 + 0*r**4 + r**2. Factor a(l).
-l**2*(l + 1)
Let t(g) = -3*g + 1. Let o be t(-1). Let q = -2 + o. Factor -4*u + 4*u + q*u**5.
2*u**5
Let j be (6*-1)/(-2) + 2. Factor 18*t**2 + 9*t**5 + 36*t**3 + 17*t**4 - j*t**4 + 18*t**4 + 3*t.
3*t*(t + 1)**3*(3*t + 1)
Factor 0 - 8/9*h + 28/9*h**2 + 20/9*h**4 - 4*h**3 - 4/9*h**5.
-4*h*(h - 2)*(h - 1)**3/9
Suppose 0 = -5*f - 3*i - 3 + 16, -9 = -4*f - i. Suppose -5*y + 0*y + 18 = f*s, -5*s = 3*y - 26. Factor -2/5*o + 1/5 + 1/5*o**y.
(o - 1)**2/5
Let b(s) be the first derivative of s**4/2 - 2*s**3/3 - 2*s**2 - 4. Let b(m) = 0. What is m?
-1, 0, 2
Factor 17*d**5 - 22*d**5 - 165*d**3 - 80*d + 200*d**2 - 12*d**4 + 62*d**4.
-5*d*(d - 4)**2*(d - 1)**2
Let y = 10 + -9. Le