+ q*f**2 - 4/3*f**3 = 0. Calculate f.
-2, 1
Suppose 2*h = -31 + 11. Let z be 15/h - (-27)/10. Factor 2*p**2 - 2/5*p - 2/5 - z*p**3.
-2*(p - 1)**2*(3*p + 1)/5
Suppose -q + 0*q + 3 = -u, -9 = 4*q + 3*u. Factor q*v**3 - 2/3*v**2 + 2/9*v**4 + 0 - 4/9*v.
2*v*(v - 2)*(v + 1)**2/9
Suppose 0 + 6/7*m + 2/7*m**4 + 10/7*m**3 + 2*m**2 = 0. Calculate m.
-3, -1, 0
Let m be 0/((1 + -4)/(-3)). Let v(n) be the first derivative of 1/3*n**3 - 1/5*n**5 + m*n - 1/2*n**2 + 1/4*n**4 - 2. Factor v(a).
-a*(a - 1)**2*(a + 1)
Let u(n) be the third derivative of n**7/105 - n**6/30 + n**5/30 + 5*n**2. Find t such that u(t) = 0.
0, 1
Let l(w) be the first derivative of w**4/12 - 4. Factor l(x).
x**3/3
Let f(p) be the second derivative of -p**6/120 + 3*p**5/40 - 3*p**4/16 + p**3/6 + 18*p. Factor f(m).
-m*(m - 4)*(m - 1)**2/4
Let j(x) be the second derivative of x**4/96 + x**3/16 + 17*x. Factor j(y).
y*(y + 3)/8
Let q(s) = -2*s**5 + 6*s**4 + 2*s**3 - 2*s**2 - 2*s - 2. Let h(y) = -7*y**5 + 25*y**4 + 7*y**3 - 7*y**2 - 9*y - 9. Let g(k) = 2*h(k) - 9*q(k). Factor g(b).
4*b**2*(b - 1)**2*(b + 1)
Let m(i) be the first derivative of -2*i**5/35 + 3*i**4/14 - 2*i**3/21 - 3*i**2/7 + 4*i/7 - 50. Determine a so that m(a) = 0.
-1, 1, 2
Let u be (-10)/(-4)*(0 + 2). Suppose -u*v + v = 0. Factor z**2 + v - z**2 - 1 - z**2 + 2*z.
-(z - 1)**2
Factor -3 - 2*r**4 - 12*r**2 + 4*r**3 + 3 + 10*r**2.
-2*r**2*(r - 1)**2
Suppose -31 = -l - 5*z, -2*l + z + 67 = 6*z. Let b be 33/l + (-1)/4. Find y, given that 4/3 + 2/3*y - b*y**2 = 0.
-1, 2
Let g(o) be the first derivative of -2*o**3/27 - 16*o**2/9 - 128*o/9 + 22. Factor g(f).
-2*(f + 8)**2/9
Find b such that 0*b - 2/11*b**3 + 2/11*b**4 + 0*b**2 + 0 = 0.
0, 1
Suppose -9*t**2 + 16*t**4 - 13*t**4 - 4 - 15*t + t**3 - 2 + 2*t**3 = 0. Calculate t.
-1, 2
Let q(h) be the third derivative of 3/280*h**6 + 5/168*h**4 + 3*h**2 + 0*h - 1/21*h**3 + 0 + 4/105*h**5. What is s in q(s) = 0?
-1, 2/9
Let y = 8 + -6. Determine a, given that -y*a**2 - 2*a + 2 + 0*a**3 - 2*a**3 + 3*a + a = 0.
-1, 1
Let v(y) be the first derivative of -y**6/120 - 3*y**5/80 - y**4/16 - y**3/24 + 4*y + 3. Let x(m) be the first derivative of v(m). Factor x(o).
-o*(o + 1)**3/4
Let f = 2/417 - -2488/2919. Find z, given that 4/7*z**2 + 4/7*z**3 - f*z + 2/7*z**5 - 6/7*z**4 + 2/7 = 0.
-1, 1
Let w(p) = p**2 + p. Let s(y) be the third derivative of 2*y**5/15 + y**4/12 - 2*y**2. Let v(c) = -s(c) - w(c). Factor v(b).
-3*b*(3*b + 1)
Let l be (10/(-3))/(2/(-3)). Suppose -2*d = 1 - l. Determine z so that -z + 5*z**3 - z**3 + 2*z**d - z = 0.
-1, 0, 1/2
Suppose 2*k + 4*c = -2 - 14, k = 4*c + 22. Let r be (-10)/(-6) + -1 - 0. Factor -2/9*x**k - 4/9 + r*x.
-2*(x - 2)*(x - 1)/9
Suppose 0 = -4*b + c + 12, 2*b - 4*c - 14 = 6. Suppose l + p = -0*l + 3, -3*p = -2*l + 6. What is k in k - 4*k**b + l*k**2 - 2*k = 0?
-1, 0
Let x = -851/504 + -5/56. Let b = x - -89/45. Solve 1/5*l**3 + b*l**2 - 1/5*l**4 - 1/5*l + 0 = 0 for l.
-1, 0, 1
Let n be (-8)/(-36)*(-21)/(-2). Let b(r) be the first derivative of -1/2*r**4 + 7/5*r**5 + 0*r - n*r**3 + 3 + r**2. Solve b(l) = 0.
-1, 0, 2/7, 1
Factor 2/15*x**3 - 2/15*x**2 + 0*x + 0.
2*x**2*(x - 1)/15
Factor -8/3*t**2 - 16/3*t**3 + 4/3*t**5 + 4*t + 0*t**4 + 8/3.
4*(t - 2)*(t - 1)*(t + 1)**3/3
Factor 0*s**3 + 0*s + 0*s**2 - 2/5*s**4 - 2/5*s**5 + 0.
-2*s**4*(s + 1)/5
Let u = -22 + 25. Let d(n) be the first derivative of 2 - n**2 + 0*n**u + 1/2*n**4 + 0*n. Determine x, given that d(x) = 0.
-1, 0, 1
Let v(d) be the third derivative of -d**6/40 + d**5/5 - 5*d**4/8 + d**3 + 4*d**2. Factor v(o).
-3*(o - 2)*(o - 1)**2
Suppose 3*f = -3*n - 2*n - 161, -2*n = -3*f - 154. Let u be (-1 - 2) + f/(-16). Determine w so that -u + 1/4*w**2 - w**3 + w = 0.
-1, 1/4, 1
Let h(o) be the second derivative of 5*o**4/3 + 94*o**3/3 + 36*o**2 + 19*o. Factor h(d).
4*(d + 9)*(5*d + 2)
Let z(g) be the first derivative of g**4/22 - 2*g**3/33 - 4*g**2/11 + 8*g/11 - 35. Factor z(h).
2*(h - 2)*(h - 1)*(h + 2)/11
Suppose 0 = -16*p + 12*p. Let g(q) be the first derivative of 3 + p*q**2 + 0*q + 16/5*q**5 + 2*q**4 + 1/3*q**3. Factor g(n).
n**2*(4*n + 1)**2
Factor -125 - 13*n**4 + 12*n**4 + 31*n**3 - 90*n**2 - 15*n**3 + 200*n.
-(n - 5)**3*(n - 1)
Let s(m) be the first derivative of 1/12*m**4 + 2 - 1/6*m**2 + 0*m + 0*m**3. Let s(u) = 0. What is u?
-1, 0, 1
Let x(a) be the second derivative of -a**6/30 + 3*a**5/20 - a**4/6 + 2*a. Suppose x(h) = 0. Calculate h.
0, 1, 2
Let v(j) = 1 + 7*j**4 + 1 - j**4 + 4*j**3 - 9*j**2 + j**2. Let g(c) = -5*c**4 - 5*c**3 + 8*c**2 - c - 3. Let m(f) = -2*g(f) - 3*v(f). Solve m(o) = 0 for o.
-1, -1/4, 0, 1
Find f such that -13*f + 19*f - 2*f**2 - 9*f + 6 - 4*f**2 + 3*f**3 = 0.
-1, 1, 2
Factor -3*l**3 - 4*l**2 - 3/2*l + 1/2*l**5 + 0 + 0*l**4.
l*(l - 3)*(l + 1)**3/2
Let a(m) = -9*m**3 - 9*m**2 + 16*m + 21. Let s(i) = -22*i**3 - 22*i**2 + 40*i + 52. Let v(y) = 12*a(y) - 5*s(y). Solve v(w) = 0 for w.
-2, -1, 2
Let b(s) be the third derivative of s**6/960 - s**5/240 - s**4/192 + s**3/24 - 9*s**2. Factor b(a).
(a - 2)*(a - 1)*(a + 1)/8
Factor 5*v - 3*v**2 + 7*v - 27 + 6*v.
-3*(v - 3)**2
Factor 852*a**4 - 2461*a**3 + 2700*a**2 + 162 - 994*a**3 - 1080*a + 455*a**3 + 398*a**4.
2*(5*a - 3)**4
Let s(z) be the second derivative of -z**6/2 + 9*z**5/20 + 11*z**4/2 - 6*z**3 - 12*z**2 + 5*z. Find p such that s(p) = 0.
-2, -2/5, 1, 2
Let d be 1*2*20/(-8). Let j(c) = 3*c**2 + 19*c + 48. Let y(t) = -6*t**2 - 39*t - 96. Let i(h) = d*y(h) - 9*j(h). Factor i(x).
3*(x + 4)**2
Let w(m) be the second derivative of m**5/4 - 5*m**3/2 + 5*m**2 - 25*m. Factor w(g).
5*(g - 1)**2*(g + 2)
Suppose -l = 2*l - 2*r - 3, -3*r + 3 = -2*l. Suppose 1 = l*d - 14. Factor -2*o - o**2 - 2*o**5 + 5*o**2 - d - o**3 + 5*o**3 + 3 - 2*o**4.
-2*(o - 1)**2*(o + 1)**3
Factor -c**4 + 21 + 2*c**2 - 21 - c**3.
-c**2*(c - 1)*(c + 2)
Factor -3*q**2 + q - 6*q - q + q**2.
-2*q*(q + 3)
Let l(n) = -9*n**3 - 31*n**2 - 50*n - 4. Let y(s) = 125*s**3 + 435*s**2 + 700*s + 55. Let v(x) = 55*l(x) + 4*y(x). Let v(c) = 0. Calculate c.
-5, -2, 0
Factor 6/7*t - 1/7*t**2 + 0.
-t*(t - 6)/7
Factor 4/5 - 1/5*r**3 - 3/5*r**2 + 0*r.
-(r - 1)*(r + 2)**2/5
Let i(o) = -8*o**4 + 10*o**3 - 2*o**2 - 2. Suppose -8 + 0 = -4*k. Let n(b) = -k + 2 - 1. Let x(z) = i(z) - 2*n(z). Factor x(g).
-2*g**2*(g - 1)*(4*g - 1)
Suppose -4*h + 2*h = -2*x - 64, 0 = -3*h - 3*x + 78. Let y = 31 - h. Factor -2*t**y + 2/7 + 8/7*t**3 + 4/7*t.
2*(t - 1)**2*(4*t + 1)/7
Let h = -4 + 12. Find q, given that -3 - h*q + 0*q**2 + 5 + 8*q**2 = 0.
1/2
Suppose u = 21 + 53. Let m be 2/(-9) + (-40)/(-18). Factor 2*c**2 + 19*c + 32*c**3 - m - u*c**2 + 128*c**4 - c + 4*c.
2*(c + 1)*(4*c - 1)**3
Let y(b) = b - 1. Let c(h) = -5 + h**2 - h + 8 - 4. Let r(v) = -2*c(v) + 2*y(v). Let r(u) = 0. Calculate u.
0, 2
Let n(f) be the second derivative of f**7/42 + f**6/30 - f**5/20 - f**4/12 + 5*f. Let n(g) = 0. Calculate g.
-1, 0, 1
Suppose 0 = -3*x + 4*b - 22, 4*x - 5*b + 0*b = -29. Let j be (x/(-5))/((-8)/(-20)). Find o such that 0 - 2/3*o**j - 4/9*o**2 + 2/9*o = 0.
-1, 0, 1/3
Suppose 0 = 4*z + 1 - 9. Let h be ((-2)/33)/(z/(-6)). Factor -2/11*g - 2/11*g**2 + 2/11*g**3 + h.
2*(g - 1)**2*(g + 1)/11
Factor -4*w**2 + 5 + 95*w - 5 - 87*w.
-4*w*(w - 2)
Let k(z) be the first derivative of -z**6/3 + 12*z**5/5 - 6*z**4 + 16*z**3/3 - 8. Determine t, given that k(t) = 0.
0, 2
Suppose -6*l + 27 = 3*l. Let v(m) be the second derivative of 0 + 1/42*m**4 + 0*m**2 - m - 1/21*m**l. Find r such that v(r) = 0.
0, 1
Factor -51*x**4 - 120*x**2 - 5*x + 31*x**4 + 37*x + 98*x**3 + 10*x**3.
-4*x*(x - 4)*(x - 1)*(5*x - 2)
Factor 0*m - 2/3*m**5 + 8/9*m**4 + 2/9*m**3 + 0 - 4/9*m**2.
-2*m**2*(m - 1)**2*(3*m + 2)/9
Suppose -5*k - 4*q - 122 = 0, -3*q + 34 = -2*k - 1. Let c be 4/k + 28/33. Factor -2/3*u**2 + 2/3*u**3 + c - 2/3*u.
2*(u - 1)**2*(u + 1)/3
Let c(u) = 2*u**2 + 24*u + 50. Let s(q) = -2*q**2 - 25*q - 50. Let r(n) = 5*c(n) + 4*s(n). Solve r(m) = 0 for m.
-5
Suppose 10 = -3*f + v, f + v + 14 = -2*f. Let p be -1 + f/(1 - 2). Determine b so that -1/2*b**2 - b + 0 + 1/2*b**p = 0.
-1, 0, 2
Let j(d) be the third derivative of d**9/15120 + d**8/6720 - d**7/1260 - d**4/24 - 3*d**2. Let c(u) be the second derivative of j(u). Factor c(r).
r**2*(r - 1)*(r + 2)
Let n = -532 - -12240/23. Let k = 58/69 - n. Let k*m**2 + 4/3*m + 2/3 = 0. Calculate m.
-1
Let o(k