/85 - 3*d**4/68 + 2*d**3/51 + 2*d**2. Factor k(x).
-2*(x - 1)**2*(5*x - 2)/17
Let m(q) = 2*q**3 - 2*q**2. Let n(b) = 4*b. Let k be n(-2). Let w(f) = -5*f**3 + 5*f**2. Let x(r) = k*m(r) - 3*w(r). Factor x(d).
-d**2*(d - 1)
Suppose 0 = -0*a + a - 2. Let 0*m**2 - m**a + m**4 - 3*m**3 + 2*m**3 + 0*m**3 + m = 0. What is m?
-1, 0, 1
Let g be (0 - 12/(-4))*(-3)/(-9). Let j(q) be the first derivative of 0*q + 1/30*q**5 + 1/24*q**4 + 0*q**3 - g + 0*q**2. Solve j(o) = 0.
-1, 0
Let r = -354 - -1078/3. Factor -2/3*n**2 + r*n - 32/3.
-2*(n - 4)**2/3
Determine y, given that -10/3*y**4 - 10/3 + 5/3*y**5 + 20/3*y**2 - 10/3*y**3 + 5/3*y = 0.
-1, 1, 2
Suppose -3*z + d + 1 = -4*d, 0 = -4*z - 3*d + 11. Find j, given that -5/3*j - j**z - 2/3 = 0.
-1, -2/3
Let m(u) be the first derivative of 0*u**4 + 1/80*u**5 + 0*u**2 + 2*u + 4 + 0*u**3. Let g(z) be the first derivative of m(z). Factor g(r).
r**3/4
Let o = -192 + 771/4. Let j = -29/4 - -8. What is d in -o*d**2 - 1/4*d**3 - j*d - 1/4 = 0?
-1
Let g(h) = -3*h**2 - 8*h - 12. Let k(n) = -n**2 - 4*n - 6. Let s(m) = 3*g(m) - 7*k(m). Find i, given that s(i) = 0.
-1, 3
Factor 0 + 0*r - 1/10*r**3 - 1/5*r**2 + 1/10*r**4.
r**2*(r - 2)*(r + 1)/10
Let s(q) = -3*q**2 - 60*q - 180. Let a(z) = 11*z**2 + 240*z + 720. Let n(j) = 2*a(j) + 9*s(j). Factor n(p).
-5*(p + 6)**2
Let l be (-69)/(-92) + 1/(-2). Let z(r) be the first derivative of -1/6*r**3 + 0*r + 2 + l*r**2. Factor z(p).
-p*(p - 1)/2
Factor -5*n**3 - 9*n**2 - 3*n**4 - 3*n - 3*n**3 - n**3.
-3*n*(n + 1)**3
Let b(f) be the second derivative of -1/36*f**4 + 0*f**3 - 1/2*f**2 + 0 - 1/90*f**5 - f. Let t(q) be the first derivative of b(q). Factor t(l).
-2*l*(l + 1)/3
Let b(y) = y**3 - y**2 + 3*y - 5. Let z be b(4). Let r be 2*-1 + z/22. Determine n, given that -1/2*n**2 + r + 0*n = 0.
-1, 1
Let b(o) be the first derivative of 3*o**4/4 + 3*o**3 + 9*o**2/2 + 3*o - 11. Solve b(u) = 0.
-1
Solve 2*z + 3*z - z**3 - z**4 - 4*z + 2*z**2 - z**2 = 0 for z.
-1, 0, 1
Let 36*z**2 + 24 + 56*z + 10 + 18 - 32*z**2 = 0. Calculate z.
-13, -1
Find d, given that -24/5 - 3/5*d**2 + 18/5*d = 0.
2, 4
Let l(n) = n + 1. Let d(i) = -3*i + 12. Let z(a) = d(a) - 3*l(a). Let y(q) = -q**2 - 11*q + 17. Let k(v) = 3*y(v) - 5*z(v). Determine x so that k(x) = 0.
-2, 1
Let y(u) be the third derivative of u**6/120 + u**5/36 + u**4/72 - u**3/18 - 20*u**2. Suppose y(h) = 0. What is h?
-1, 1/3
Let z = -2 + 39. Let i = -22 + z. Factor 27*q**2 + 0*q**4 + 2*q**4 + q**4 - i*q**3 + 6 - 21*q.
3*(q - 2)*(q - 1)**3
Find i, given that -i + 26*i**4 + 100*i**4 - 109*i**3 + 31*i**2 - 49*i**5 + 5*i**2 - 3*i = 0.
0, 2/7, 1
Let k(l) be the third derivative of -l**5/150 + l**4/20 - 2*l**3/15 - 4*l**2 + 5*l. Factor k(w).
-2*(w - 2)*(w - 1)/5
Let u be (-3 + -5)/4 - (-3 + 1). Let f(h) be the first derivative of -1 - 1/15*h**3 + 0*h + u*h**2. Find q such that f(q) = 0.
0
Let y(q) be the second derivative of 2/15*q**6 + 0*q**3 + 0 + 0*q**4 + 1/10*q**5 + 2*q + 1/21*q**7 + 0*q**2. Factor y(s).
2*s**3*(s + 1)**2
Factor 1 - 1/3*a**2 - 2/3*a.
-(a - 1)*(a + 3)/3
Let a(w) be the third derivative of -w**5/300 + 2*w**3/15 - 10*w**2. Suppose a(h) = 0. Calculate h.
-2, 2
Factor -36/5*v + 0 - 4/5*v**2.
-4*v*(v + 9)/5
Let w = 7 - 5. Suppose p + w - 3*p + 8*p + 2*p**2 + 2 = 0. Calculate p.
-2, -1
Suppose -3*p - 2*f + 10 = 0, 3*p + f - 1 - 7 = 0. Let w(v) be the first derivative of 1 - 2/27*v**3 + 1/3*v**p - 4/9*v. Let w(m) = 0. Calculate m.
1, 2
Let r(j) = 5*j**3 - 2*j**2 - 5*j + 2. Let m(h) = 5*h**3 - h**2 - 5*h + 1. Let u(y) = -3*m(y) + 4*r(y). Let u(o) = 0. What is o?
-1, 1
Let x(t) be the third derivative of t**5/300 - t**4/24 + 4*t**2. Factor x(l).
l*(l - 5)/5
Let 4*o**2 - 4*o**4 + 11 - 9 + 4*o**2 - 6 = 0. Calculate o.
-1, 1
Let i(m) be the first derivative of 2/7*m + 9/7*m**3 - 36/35*m**5 - 15/14*m**2 + 2/7*m**4 - 3. Let i(c) = 0. What is c?
-1, 2/9, 1/2
Let l(z) be the first derivative of 2/3*z**3 - 2 + 0*z - z**2. Factor l(y).
2*y*(y - 1)
Let l be ((-5)/6)/((-51)/6). Let r = 335/51 + l. Solve 38/9*f**2 - 8/9 + 16/9*f + r*f**4 - 106/9*f**3 = 0 for f.
-2/5, 1/2, 2/3, 1
Let q = 186 + -3905/21. Let g(h) be the second derivative of -h**2 + 2*h - 5/3*h**4 - 1/3*h**6 + 0 - 5/3*h**3 - h**5 - q*h**7. Factor g(r).
-2*(r + 1)**5
Let b(n) be the first derivative of -1/105*n**6 + n - 4 - 1/7*n**2 + 1/21*n**4 + 0*n**5 + 0*n**3. Let u(s) be the first derivative of b(s). Factor u(f).
-2*(f - 1)**2*(f + 1)**2/7
Let m(z) be the second derivative of z**4/120 + z**3/30 + 8*z. Factor m(v).
v*(v + 2)/10
Let j be ((-1)/3)/(3/(-27)). Let n(v) be the first derivative of -2*v**5 - v**4 - 4*v**3 + 4*v**5 + 4*v**6 - j*v**6 - 2 - v**2 + 2*v. Solve n(o) = 0 for o.
-1, 1/3, 1
Factor -3/2*m + 1 + 1/2*m**2.
(m - 2)*(m - 1)/2
Suppose l + 5*d = -17, -5*d - 6 = 5*l - 1. Suppose l*r + 8 = 5*r. Determine m, given that -3*m**3 + m**5 + r*m**3 - 2*m**3 = 0.
-1, 0, 1
Let h = 3/403 + 773/4433. Solve 2/11*p + 0*p**2 - h*p**3 + 0 = 0.
-1, 0, 1
Suppose x - c - 28 = -2*x, -5*c - 44 = -3*x. Let q be (-32)/(-10)*10/4. Determine j so that 2 - q*j + x*j - 2*j**2 = 0.
-1, 1
Let k be (-30)/(-20) + (-2)/(-4)*1. Suppose -1/5*x**k + 1/5*x**3 + 0*x + 0 = 0. Calculate x.
0, 1
Let o = 94 - 280/3. Factor o*u**2 + 1/3*u**3 + 0 + 0*u.
u**2*(u + 2)/3
Suppose -14 + 6 = -4*h. Suppose -h*k - 2*k + 8 = 0. Determine f, given that 21 + k*f**3 - 21 + 4*f**2 + 2*f = 0.
-1, 0
Let j = 89331/5 - 17935. Let k = j + 69. Let -1/5 - 4/5*x**3 - 4/5*x - 6/5*x**2 - k*x**4 = 0. What is x?
-1
Let l = -488 + 490. Suppose 1/2*g**l - 3/2 - g = 0. What is g?
-1, 3
Let f(n) be the second derivative of 5*n**4/12 - 5*n**3 - 35*n**2/2 - 65*n. Suppose f(r) = 0. Calculate r.
-1, 7
Let w(m) = 3*m**2 + 2*m - 1. Let s be w(1). Suppose 0 = 80*h - 84*h + 12. Factor 0*c**2 + 0 - 2/9*c**h + 0*c + 2/9*c**5 + 0*c**s.
2*c**3*(c - 1)*(c + 1)/9
Let 11*u**4 - 13*u**3 - 6*u**4 - 5*u**2 + 4*u + 9*u**2 = 0. Calculate u.
-2/5, 0, 1, 2
Let o(z) be the first derivative of -3*z**6 - 246*z**5/35 + 47*z**4/14 + 66*z**3/7 + 36*z**2/7 + 8*z/7 - 9. Find w, given that o(w) = 0.
-2, -1/3, -2/7, 1
Let k = 22 + -22. Suppose k*m - m + 2 = 0. Find x such that -1/5*x**m + 1/5 + 0*x = 0.
-1, 1
Let u(o) = o**4 - o**3 + o**2 + o - 1. Let z(w) = -8*w**4 + 7*w**3 - 6*w**2 - 7*w + 7. Let r(v) = 35*u(v) + 5*z(v). Factor r(a).
-5*a**2*(a - 1)*(a + 1)
Suppose -2*h + 12 = 2*h. Suppose -2*r - 3*u = -3, 2*r - 4*r = -5*u + 5. Factor -98*c**h - 7*c - 56*c**2 - c + r*c.
-2*c*(7*c + 2)**2
Let v = 4 + 1. Suppose v*l - 4*l = 2. Factor -m**2 + m + 3*m**2 + 0*m**l + m**3.
m*(m + 1)**2
Let y(d) be the second derivative of d**6/60 - d**5/10 - d**4/4 + 3*d**3 - 27*d**2/4 + 55*d. Factor y(r).
(r - 3)**2*(r - 1)*(r + 3)/2
Let y be 115/(-10) + 1/2. Let a = -31/3 - y. Factor 0 + 4/3*h**4 + 0*h**3 + 2/3*h**5 - a*h - 4/3*h**2.
2*h*(h - 1)*(h + 1)**3/3
Let x be 3/(-2)*52/(-195). Find o such that 2/5 + 2/5*o**3 - x*o - 2/5*o**2 = 0.
-1, 1
Factor -1/3*g**2 + 0*g + 1/3.
-(g - 1)*(g + 1)/3
Let q(m) be the first derivative of m**4/12 + m**3 + 9*m**2/2 + 9*m + 5. Suppose q(h) = 0. What is h?
-3
Let d = -66 + 72. Let i(c) be the second derivative of 2*c + 0 - 1/90*c**5 + 1/27*c**3 + 1/135*c**d - 1/54*c**4 + 0*c**2. Factor i(r).
2*r*(r - 1)**2*(r + 1)/9
Let x(a) = 2*a**3 + 6*a**2. Let u(n) = n**3 - n**2 + n - 1. Let i(j) = -u(j) - x(j). Determine k, given that i(k) = 0.
-1, 1/3
Let c be ((-12)/9)/(6/(-9)). Find d, given that -3*d**3 + 14*d**c + 10*d**2 + 4 - 18*d - 6*d**3 + d**3 = 0.
1/2, 2
Let y be (-5 - -4)/((-1)/5). Let d(q) = -30*q**3 - 50*q**2 - 12*q + 8. Let w(j) = 20*j**3 + 33*j**2 + 8*j - 5. Let f(i) = y*d(i) + 8*w(i). Factor f(r).
2*r*(r + 1)*(5*r + 2)
Let v(k) = -4*k**4 + 6*k**3 - 8*k**2 + 6*k + 6. Let n(f) = -3*f**4 + 5*f**3 - 7*f**2 + 5*f + 5. Let o(c) = -6*n(c) + 5*v(c). Factor o(b).
-2*b**2*(b - 1)*(b + 1)
Suppose -18/11 + 12/11*a**3 - 12/11*a + 2/11*a**4 + 16/11*a**2 = 0. Calculate a.
-3, -1, 1
Let l(f) = -3*f**3 + 2*f**2 + 5*f + 5. Let g(w) = -3*w**3 + 3*w**2 + 6*w + 6. Let p(a) = 5*g(a) - 6*l(a). Factor p(u).
3*u**2*(u + 1)
Let a(o) = 8*o**3 - 4*o**2 - 16*o + 16. Let s(t) = t**3. Let m(f) = a(f) - 4*s(f). Solve m(c) = 0.
-2, 1, 2
Let g(w) = -w**2. Let t(a) = 8*a**2 + 8*a + 4. Let n(p) = 4*g(p) + t(p). Factor n(s).
4*(s + 1)**2
Find t such that -3/5*t**2 - 3/5*t + 0 = 0.
-1, 0
Let n 