pose 2*x - x - 4 = 2*h, 0 = 4*x + h - 34. Let l(n) = 3*n**3 + 6*n**2 + 8. Let j(t) = x*y(t) + 3*l(t). Factor j(a).
a**2*(a + 2)
Suppose -4*a = -6*a - 100. Let h = 152/3 + a. Factor h*g**3 - 2/3*g - 2/3 + 2/3*g**2.
2*(g - 1)*(g + 1)**2/3
Let v(f) = -1. Let n(o) = 6*o**4 + 3*o**3 - 6. Let h(z) = -n(z) + 6*v(z). Let h(d) = 0. Calculate d.
-1/2, 0
Suppose -3*n + 41 = -0*n + a, 5*n - 2*a - 83 = 0. Let b be 12/n - 2/5. Suppose -6/5*j**3 + 2/5*j**4 + 6/5*j**2 - b*j + 0 = 0. Calculate j.
0, 1
Let c = -2 - -7. Suppose -r + 3 = -c*k - 34, -2*k = 3*r - 128. Let -3*j**4 - 4*j - j**2 - r*j**5 + 37*j**3 - 3*j**2 - 2*j**4 = 0. What is j?
-1, -2/7, 0, 1/2, 2/3
Let b(d) be the first derivative of 3*d**4/8 + d**3 + 3*d**2/4 - 1. Factor b(r).
3*r*(r + 1)**2/2
Let h(b) be the first derivative of 11/2*b**2 + 2*b + 6 + 7/3*b**3 - 11/4*b**4 - 9/5*b**5. Factor h(q).
-(q - 1)*(q + 1)**2*(9*q + 2)
Let n(x) = 2*x**2 - 3*x. Let t be n(4). Suppose 4 = -2*r - 4*j + t, -r = 3*j - 11. Factor 0 - 1/2*b**r + 0*b.
-b**2/2
Factor 3*o + 1 + 3 + 9*o + 2*o**2 - o**3 - 5*o.
-(o - 4)*(o + 1)**2
Suppose -4*i + 6*i = 0. Let z(k) be the second derivative of 1/12*k**4 + 1/6*k**3 + i - 1/30*k**6 + 2*k - 1/20*k**5 + 0*k**2. Let z(w) = 0. Calculate w.
-1, 0, 1
Let q = 0 + 2. Let u = 1 + 1. Find l, given that 4*l**4 + u*l**q - l**4 + 4*l**3 - l**4 = 0.
-1, 0
Let c(a) = a**3 - 15*a**2 - 37*a + 54. Let z be c(17). Find f, given that -3/7*f**2 - 1/7*f**4 + 0 - 3/7*f**z - 1/7*f = 0.
-1, 0
Let t = -61 - -63. Let x(z) be the second derivative of -1/48*z**4 - 1/24*z**3 + 0*z**t - z + 0. Let x(u) = 0. Calculate u.
-1, 0
Let l be 0 - -2 - (-16)/(-12). Let x(h) be the first derivative of 0*h + 1 - l*h**3 + 1/2*h**4 + 0*h**2. Factor x(u).
2*u**2*(u - 1)
Suppose -4/11*d + 18/11*d**2 + 10/11*d**4 + 0 - 24/11*d**3 = 0. What is d?
0, 2/5, 1
Suppose 3*g = 4*w, 0*w - 3*w = 3*g. Factor w*f + 4/11*f**5 - 6/11*f**4 + 2/11*f**2 + 0 + 0*f**3.
2*f**2*(f - 1)**2*(2*f + 1)/11
Factor 0 + 3/4*x**2 - 3/2*x.
3*x*(x - 2)/4
Let a(c) = c**2 - 2*c + 3. Let f(l) = l + 1. Let x(r) = -a(r) - f(r). Let k(d) = 3*d**2 + d**2 - 5*d**2 + 2 - 5. Let w(v) = 3*k(v) - 2*x(v). Factor w(j).
-(j + 1)**2
Let k(y) be the second derivative of y**7/6 - y**6/6 - y**5/10 + 3*y. Let k(a) = 0. Calculate a.
-2/7, 0, 1
Suppose -3 + 3/4*d**2 + 3/2*d - 3/8*d**3 = 0. Calculate d.
-2, 2
Factor -4*q**3 - 4/7*q**2 + 0 + 4/7*q**4 + 4*q.
4*q*(q - 7)*(q - 1)*(q + 1)/7
Let i(l) be the second derivative of l**9/30240 - l**8/2688 + l**7/1680 + l**6/160 + l**4/6 - 7*l. Let o(w) be the third derivative of i(w). Factor o(x).
x*(x - 3)**2*(x + 1)/2
Let h(p) = 15*p**4 + 5*p**3 - 60*p**2 + 85*p - 25. Let q(m) = 23*m**4 + 8*m**3 - 90*m**2 + 128*m - 37. Let j(a) = 8*h(a) - 5*q(a). What is w in j(w) = 0?
-3, 1
Let n(c) be the second derivative of c**5/70 - 2*c**4/21 + 5*c**3/21 - 2*c**2/7 + 2*c. Find j, given that n(j) = 0.
1, 2
Let b(w) be the second derivative of 1/120*w**6 + 0 - 1/4*w**2 + 2*w - 1/8*w**3 + 3/80*w**5 + 1/48*w**4. Factor b(q).
(q - 1)*(q + 1)**2*(q + 2)/4
Let d = -42 + 50. Let z(y) = 3*y - 19. Let p be z(d). Factor 0 + 0*h + 3/4*h**p + 0*h**2 + 3/4*h**4 + 0*h**3.
3*h**4*(h + 1)/4
Suppose -3*m = q - 0*q - 11, -4*m - 3*q = -23. Factor 4*h + m*h**2 - 2*h**2 + 1 - 3 - 2*h**2.
-2*(h - 1)**2
Let i = -82/21 - -32/7. Factor 4/3*a + i*a**2 + 2/3.
2*(a + 1)**2/3
Factor 12*r + 5*r**2 + 2*r**2 + 0*r**2 - 4*r**3 + r**2.
-4*r*(r - 3)*(r + 1)
Let o be 13/3*(4 + -7). Let f be 4/(-8) + o/(-18). Factor 2/9 - 2/9*c**3 + 2/9*c - f*c**2.
-2*(c - 1)*(c + 1)**2/9
Let u be 1/63 - (-6)/14. Let t(f) be the second derivative of 0 + 1/10*f**5 + 0*f**2 + 0*f**4 - u*f**3 + 4*f - 1/45*f**6. Suppose t(r) = 0. What is r?
-1, 0, 2
Factor -2662/9 - 22/3*f**2 - 2/9*f**3 - 242/3*f.
-2*(f + 11)**3/9
Let k = 10/81 - -214/891. Factor 10/11*m**2 + 8/11*m**3 + 2/11*m**4 + 0 + k*m.
2*m*(m + 1)**2*(m + 2)/11
Let f(q) = 4*q**3 - 2*q**2 - 10*q + 2. Let o(b) = b**2 - b + 1. Let m(v) = f(v) - 2*o(v). Let m(r) = 0. Calculate r.
-1, 0, 2
Let -6*g**2 + g**2 + g**2 + 4 + 0 = 0. What is g?
-1, 1
Let c = -3144 + 34608/11. Let 0 - c*s**3 - 8/11*s**4 - 18/11*s**2 + 0*s = 0. What is s?
-3/2, 0
Let z be (6/21)/(-3 - (-88)/28). What is u in 8/9*u**z + 4/9 - 2/9*u**3 - 10/9*u = 0?
1, 2
Let o(r) be the third derivative of 1/8*r**4 - 1/40*r**6 + 0*r**5 + 0*r**3 + 0 + 0*r + 9*r**2. Determine s so that o(s) = 0.
-1, 0, 1
Let t(b) be the second derivative of -b**4/42 + b**3/7 - 2*b**2/7 + 2*b. Factor t(p).
-2*(p - 2)*(p - 1)/7
Let d(z) be the first derivative of z**8/4200 - z**6/450 + z**4/60 + 2*z**3/3 + 3. Let f(p) be the third derivative of d(p). Factor f(c).
2*(c - 1)**2*(c + 1)**2/5
Suppose -3*y = -12*y. Let a(u) be the second derivative of u - 1/5*u**5 + 1/7*u**7 - 1/3*u**3 - 4/15*u**6 + 2/3*u**4 + 0*u**2 + y. Solve a(t) = 0.
-1, 0, 1/3, 1
Find r, given that 4/5*r - 2/5*r**2 - 2/5 = 0.
1
Solve -3 - 38*o**2 + 32*o**2 - o**3 - 5 - 12*o = 0 for o.
-2
Suppose 5*h - 5 = 5. What is f in -4*f**3 - h*f**4 + 2*f**3 + 0*f**4 + 0*f**3 = 0?
-1, 0
Let a be (-84)/(-22) - 8/(-44). Factor 40*r**4 + 4*r**5 - a*r**5 - 39*r**4 - r**5.
-r**4*(r - 1)
Let x(v) be the second derivative of 1/12*v**4 + 0 + 1/20*v**5 - 2/3*v**3 - 5*v - 2*v**2. Factor x(n).
(n - 2)*(n + 1)*(n + 2)
Let b = -4/23 - -82/207. Let 2/9*y + 2/9*y**2 + 0 - b*y**3 - 2/9*y**4 = 0. What is y?
-1, 0, 1
Let h(w) be the second derivative of 1/150*w**6 + 2*w + 1/30*w**3 + 0 + 0*w**2 - 1/60*w**4 - 1/100*w**5. Solve h(c) = 0 for c.
-1, 0, 1
Suppose -11*w - 2 + 2 = 0. Determine x, given that 0 + w*x + 5/3*x**3 + 2/3*x**2 - 7/3*x**4 = 0.
-2/7, 0, 1
Let h be (96/36)/(3*20/378). Find v, given that 18/5 - h*v - 8/5*v**3 + 10*v**2 = 0.
1/4, 3
Let t(g) be the third derivative of -3*g**8/280 + 11*g**7/525 - g**6/150 - 3*g**2. Factor t(m).
-2*m**3*(m - 1)*(9*m - 2)/5
Factor 3/2*o + 9/2*o**2 + 0 + 3/2*o**4 + 9/2*o**3.
3*o*(o + 1)**3/2
Let y be (1 + -1)*(-2)/(-6). Factor h - 2*h**2 + y*h**3 + h**3 + 1 - 1.
h*(h - 1)**2
Factor -2/3 + 2/3*h**5 + 4/3*h**2 - 2/3*h**4 + 2/3*h - 4/3*h**3.
2*(h - 1)**3*(h + 1)**2/3
Let u = -16 - -4. Let k = u + 14. Let 7/3*o**4 + 2*o**3 + 0 - 2/3*o - 7/3*o**k - 4/3*o**5 = 0. Calculate o.
-1, -1/4, 0, 1, 2
Factor 0*m + 3/4*m**3 - 3/4*m**4 + 0 + 3/4*m**2 - 3/4*m**5.
-3*m**2*(m - 1)*(m + 1)**2/4
Let r(b) be the third derivative of -b**8/24 + 4*b**7/35 + b**6/15 + 3*b**2. Suppose r(m) = 0. Calculate m.
-2/7, 0, 2
Let x = 123 - 367/3. Find g such that -x*g**3 - 10/3*g - 4/3 - 8/3*g**2 = 0.
-2, -1
Let u = 101/3 - 33. Let b = -22/3 + 8. Factor -2/3*f**5 + 0 + u*f**3 - b*f**2 + 2/3*f**4 + 0*f.
-2*f**2*(f - 1)**2*(f + 1)/3
Let o(l) = 9*l**5 - 7*l**3 - 3*l**2 + 5*l + 5. Let v(z) = -4*z**5 + 4*z**3 + 2*z**2 - 2*z - 2. Let j(q) = 2*o(q) + 5*v(q). Solve j(c) = 0 for c.
-1, 0, 2
Suppose 0 + 10/7*t**2 + 4/7*t + 8/7*t**3 + 2/7*t**4 = 0. Calculate t.
-2, -1, 0
Suppose -4*s = -1 - 11. Suppose -s*l + 1 = -5. Suppose -2 - u**2 - 2*u**3 - 6*u + 2*u**l - 7*u**2 = 0. Calculate u.
-1
Let b(p) be the third derivative of p**6/240 + p**5/60 + p**4/48 + 8*p**2. Factor b(j).
j*(j + 1)**2/2
Suppose k = 4*k. Suppose 3*m = -2*l - 4, k - 2 = 4*m + 2*l. Factor 0*a + 2/7*a**3 - 2/7*a**5 + 0*a**m + 0*a**4 + 0.
-2*a**3*(a - 1)*(a + 1)/7
Let d(r) = r**3 - 10*r**2 - 2*r + 23. Let w be d(10). Let -5/4*n**5 + 0 + 0*n - 9/4*n**3 + 1/2*n**2 + w*n**4 = 0. What is n?
0, 2/5, 1
Let b(i) be the second derivative of -i**4/54 - 4*i**3/27 - i**2/3 - 7*i. Factor b(c).
-2*(c + 1)*(c + 3)/9
Let x = -8 - -10. Suppose -1/2*w**4 - 1/2*w**3 + 1/2*w + 3/2*w**x - 1 = 0. What is w?
-2, -1, 1
Factor 7*p**4 - 15*p - 20*p**3 - 78*p**4 + 11*p**4 + 70*p**2 - 10 + 35*p**5.
5*(p - 1)**3*(p + 1)*(7*p + 2)
Let s = 443 + -885/2. Factor s + 4*p**2 - 3*p.
(2*p - 1)*(4*p - 1)/2
Let q(j) be the first derivative of -j**5/15 + j**4/6 - j**2/3 + j/3 + 31. Factor q(b).
-(b - 1)**3*(b + 1)/3
Let s(w) = 4*w**3 + 5*w**2 - 17*w + 8. Let i(d) = 2*d**3 + 2*d**2 - 8*d + 4. Let j(k) = -5*i(k) + 2*s(k). Factor j(l).
-2*(l - 1)**2*(l + 2)
Let c(x) = x**2 + 5*x - 4. Let g be c(1). Let v be (g/(-12))/((-2)/6). Factor -v*k**2 + 1 + 1/2*k.
-(k - 2)*(k + 1)/2
Let u(l) be the second derivative of l**5/10 + l**4/3 + 2*l. Factor u(y).
2*y**2*(y + 2)
Determine m, given that 3/4*m**2 + 0*m - 3/4 = 0.
-1, 1
Let m = 101/4 + -497/20. Factor 6/5*p 