rmine r so that 2*r - 5*r**3 - 2*r**4 - 2 + 2 + 2*r**s + 3*r**3 = 0.
-1, 0, 1
Suppose -d + 3 = 1. Solve 6*f**3 + f**2 - 8*f**4 + 4*f**3 - 3*f**d = 0.
0, 1/4, 1
Let n(x) = x**3. Let a(f) = -f**3 - 6*f**2. Let t(q) = 3*a(q) + 6*n(q). Factor t(g).
3*g**2*(g - 6)
Factor -4/11*z + 2/11*z**2 + 2/11.
2*(z - 1)**2/11
Factor -3*a**4 - a**4 - 58*a**3 + 4*a**2 + 4*a**5 + 54*a**3.
4*a**2*(a - 1)**2*(a + 1)
Suppose 5/2*n - 1/4*n**2 - 9/4 = 0. What is n?
1, 9
Let q be 24/16 + 10/(-8). Let y = 29 + -57/2. Solve q*w**3 - 3/4*w + 0*w**2 - y = 0.
-1, 2
Let m(s) be the first derivative of 4 + 0*s + 2/15*s**5 + 1/6*s**4 - 2/9*s**3 - 1/3*s**2. Factor m(l).
2*l*(l - 1)*(l + 1)**2/3
Let o be (-1)/7 + 2/14. Suppose o = -4*b + 3*q - 15, 0 = -4*q + 21 - 1. Let 0 + 0*j + b*j**2 - 2/7*j**3 + 2/7*j**5 + 0*j**4 = 0. What is j?
-1, 0, 1
Find v, given that 18/11*v - 2/11*v**3 - 10/11 - 6/11*v**2 = 0.
-5, 1
Let z = 8 - 5. Suppose -v = -7 + z. Find s, given that s**3 + s**v - 5*s**4 + 0*s - s + 2*s**2 + 2*s**2 = 0.
-1, 0, 1/4, 1
Let u = 16 + -10. Let i be (5/(-75))/((-1)/u). Factor 0 + i*p**2 - 2/5*p**3 + 0*p.
-2*p**2*(p - 1)/5
Factor -2*l**2 + 5*l**3 - 3*l - 6*l**3 + 3*l.
-l**2*(l + 2)
Determine a, given that 6*a**4 - 3*a**3 - 3*a**5 - 76*a + 76*a = 0.
0, 1
Find g such that 162*g**4 - 4 + 159*g**4 - 325*g**4 + 8*g**2 = 0.
-1, 1
Let i = 10 + -2. Suppose -2*z = 2*z - i. Factor -2/3*g**z - 2/3*g + 0.
-2*g*(g + 1)/3
Let i(l) = -1 - 5*l + 2*l**2 + 3 - 2. Let v(x) = -2*x**2 + 4*x. Let n(t) = -4*i(t) - 5*v(t). Let n(y) = 0. Calculate y.
0
Let o(m) be the third derivative of -m**8/4200 + m**6/600 - m**5/300 - m**4/24 - 4*m**2. Let z(p) be the second derivative of o(p). Factor z(j).
-2*(j + 1)*(2*j - 1)**2/5
Let u(s) be the second derivative of -s**3/6 - 5*s**2/2 - 3*s. Let h be u(-5). Solve 1/2*n**4 + h + 0*n**3 - n - 3/2*n**2 = 0.
-1, 0, 2
Suppose 0*i + 3*i - 48 = 0. Let q be 6/(-15) + i/20. Factor 0*t**3 + 2/5*t**5 - 4/5*t**2 + 0 - q*t + 4/5*t**4.
2*t*(t - 1)*(t + 1)**3/5
Determine q, given that -2/3*q**2 + 2/3*q**4 - 8/3*q**3 + 0*q + 0 + 8/3*q**5 = 0.
-1, -1/4, 0, 1
Factor -23*i**3 - i + 47*i**3 - i**4 + i**2 - 23*i**3.
-i*(i - 1)**2*(i + 1)
Let k = 4/2131 - 588184/14917. Let a = k + 40. Factor 0*z**3 + 4/7*z**4 + 0 - a*z**2 - 2/7*z + 2/7*z**5.
2*z*(z - 1)*(z + 1)**3/7
Let z(g) = -3*g - 61. Let c be z(-21). Determine q so that -q + 1/2*q**c + 0 = 0.
0, 2
Let s(g) = g**3 - g - 2. Let x be s(2). Suppose -p = -2*p. Factor y + p*y - y**4 + 2 + 2*y**x - y**3 + 0*y - 3*y**2.
(y - 2)*(y - 1)*(y + 1)**2
Let t(o) = -3*o**4 - 2*o**3 - 4*o**2 + 2*o + 2. Let h(y) = -7*y**4 - 3*y**3 - 8*y**2 + 5*y + 5. Let z(v) = 2*h(v) - 5*t(v). Factor z(f).
f**2*(f + 2)**2
Let a(v) be the second derivative of -1/30*v**6 + v + 0*v**2 - 1/12*v**4 + 0*v**3 + 1/10*v**5 + 0. Factor a(o).
-o**2*(o - 1)**2
Factor 2*b**2 + 1 + 1 - b - 6*b + 3*b.
2*(b - 1)**2
Suppose 2 = 3*c - 2*c. Factor -4*y**4 + y**2 + y**4 + c*y**2.
-3*y**2*(y - 1)*(y + 1)
Let m(h) be the first derivative of h**7/14 + h**6/5 - h**4/2 - h**3/2 - 8*h + 2. Let l(v) be the first derivative of m(v). Find o, given that l(o) = 0.
-1, 0, 1
Find p, given that -27*p**4 + 30*p**2 - 3 + 9/2*p - 12*p**5 + 15/2*p**3 = 0.
-2, -1, -1/2, 1/4, 1
Let x = 36 - 34. Let a(l) be the first derivative of 0*l + 1/3*l**3 - 2 + 1/2*l**x. Suppose a(w) = 0. Calculate w.
-1, 0
Let v be (768/126 - 6)*3. Let -v + 0*c + 2/7*c**2 = 0. Calculate c.
-1, 1
Let l(v) be the first derivative of 3*v**4/4 + 19*v**3/3 + 3*v**2 + 28. Solve l(f) = 0.
-6, -1/3, 0
Let y(c) = c**2 + 2*c - 1. Let a(h) = -2*h**2 - 5*h + 2. Let b(u) = 2*a(u) + 5*y(u). What is s in b(s) = 0?
-1, 1
Let t = -2/127 - -385/254. Factor 0*s**2 - t*s + 1/2*s**3 + 1.
(s - 1)**2*(s + 2)/2
Let 8*c - 4/3 - 20/3*c**2 = 0. What is c?
1/5, 1
Let m(p) = p + 1. Let z be m(2). Solve -2*w**2 + 3 - 3 - w + 0*w**3 - w**z = 0.
-1, 0
Let x = -27 - -27. Suppose x = -9*t + 5*t. Factor 2/3*o**2 + 0 + 4/3*o**3 + 2/3*o**4 + t*o.
2*o**2*(o + 1)**2/3
Let h(r) = r**5 - r**4 - r**3 - r**2 + r. Let i(c) = -6*c**5 - 8*c**4 - 22*c**3 - 20*c**2 - 12*c. Let n(m) = 4*h(m) + i(m). Factor n(f).
-2*f*(f + 1)**2*(f + 2)**2
Let q be 0 + 1/(-10)*-2. Let z be ((-15)/30)/((-10)/4). Factor -z*s**2 + 2/5 + q*s.
-(s - 2)*(s + 1)/5
Let t be 35/(-14)*(-12)/10. Let -2*m - 4*m**t + 2*m**3 + m**4 - 1 + 4*m = 0. Calculate m.
-1, 1
What is f in -3/4*f + 5/2*f**3 + 0 + 9/8*f**4 - 23/8*f**2 = 0?
-3, -2/9, 0, 1
Let u(o) be the first derivative of 4*o**3/15 + 14*o**2/5 + 8*o - 30. Find h such that u(h) = 0.
-5, -2
Let i be 0 + (-9)/(-3) + -9. Let d(w) = 2*w**2 + 2*w - 4. Let z(c) = -c**2 + 1. Let j(f) = i*z(f) - 2*d(f). Suppose j(s) = 0. What is s?
1
Let x(d) be the second derivative of 3*d**6/10 + 3*d**5/20 - 2*d**4 + 2*d**3 + 6*d. Solve x(l) = 0 for l.
-2, 0, 2/3, 1
Let 0*r + 0 + 1/5*r**5 + 0*r**2 - 4/5*r**3 + 3/5*r**4 = 0. Calculate r.
-4, 0, 1
Let c(k) = -k**3 - 4*k**2 - 3*k. Let r be c(-2). Let x be -1 + 2 + r + 3. Factor i**2 - x*i**4 - 2*i**2 + 3*i**2 - 2*i**3 + 2*i.
-2*i*(i - 1)*(i + 1)**2
Let x(h) = -4*h**2 + 24*h + 4. Let o(l) = l**2 - l + 1. Let n = 19 + -7. Let k(d) = n*o(d) - x(d). Solve k(j) = 0 for j.
1/4, 2
Let o = 37 - 34. Factor 0*s - 8/3*s**o + 8/3*s**2 + 2/3*s**4 + 0.
2*s**2*(s - 2)**2/3
Let f(b) be the second derivative of b**5/60 + b**4/24 + 7*b**2/2 - 3*b. Let d(c) be the first derivative of f(c). Factor d(j).
j*(j + 1)
Let f(n) = -1. Let j(m) = 2*m**2 + 22*m + 11. Let z(d) = 22*f(d) + 2*j(d). Factor z(a).
4*a*(a + 11)
Factor 23 - 14 + 20*v + 31 - 5*v**3 - 10*v**2.
-5*(v - 2)*(v + 2)**2
Suppose -4*r = 3*d - 6*r - 7, -2*d - r + 7 = 0. Factor 2/3*c**d - 8/3*c**2 + 10/3*c - 4/3.
2*(c - 2)*(c - 1)**2/3
Suppose -5*g - 4*u = 10 + 6, 3*g + 13 = u. Let z(w) = 9*w**2 - 9*w + 5. Let i(m) = 0 + 8*m - 7 - 10*m**2 + 3. Let v(h) = g*z(h) - 5*i(h). Solve v(n) = 0 for n.
0, 2/7
Let y be ((-2)/72)/((-3)/9). Let x(f) be the third derivative of y*f**4 + 0*f - f**2 + 1/60*f**5 + 0 + 1/6*f**3. Factor x(h).
(h + 1)**2
Suppose 4*o - 5*u = 3 + 9, 0 = -5*u. Suppose -18 = -3*d + 3*f, -2*d + 3*d = o*f + 14. Factor k**d - 2*k**2 + 4*k + 3*k**2.
2*k*(k + 2)
Suppose -2*s = -2 - 2. Factor -8/3 + 8*n - 10/3*n**s.
-2*(n - 2)*(5*n - 2)/3
Let u = 15 - 12. Factor -7 + 36*j**2 + 28*j**u + 8*j - 9 + 16.
4*j*(j + 1)*(7*j + 2)
Let n = 80/117 + -6/13. Let 2/9*q**5 + 0*q + n*q**4 - 2/9*q**3 + 0 - 2/9*q**2 = 0. Calculate q.
-1, 0, 1
Let t(h) be the second derivative of h**6/780 - h**4/156 - 3*h**2/2 - 4*h. Let d(f) be the first derivative of t(f). Factor d(v).
2*v*(v - 1)*(v + 1)/13
Find i such that 4/17*i**2 + 8/17*i**3 - 18/17 - 24/17*i - 2/17*i**4 = 0.
-1, 3
Let 4/11*n**3 + 6/11*n**2 + 0 + 0*n - 2/11*n**4 = 0. Calculate n.
-1, 0, 3
Suppose 2/3*q**2 + 2 - 8/3*q = 0. Calculate q.
1, 3
Suppose -5*j = 5 + 5. Let x(l) = 5*l**5 - 5*l**3 - 2*l**2 - 2. Let a(r) = -51*r**5 + 51*r**3 + 21*r**2 + 21. Let g(v) = j*a(v) - 21*x(v). Factor g(c).
-3*c**3*(c - 1)*(c + 1)
Let c(f) be the third derivative of 1/48*f**4 - 1/120*f**5 + 0*f**3 + 0*f + 0 + f**2. Factor c(y).
-y*(y - 1)/2
Let o(a) = a**5 + a**3 - a**2 + a. Let t(s) = 6*s**5 + 15*s**4 + 35*s**3 - 195*s**2 + 230*s - 81. Let u(r) = -10*o(r) + 2*t(r). Factor u(y).
2*(y - 1)**3*(y + 9)**2
Let k(x) be the first derivative of -x**2 - 2/9*x**3 - 4 - 4/3*x. Factor k(f).
-2*(f + 1)*(f + 2)/3
Let p(l) be the first derivative of 0*l + 0*l**2 - 4/3*l**3 + 1 + 1/2*l**4. Let p(m) = 0. What is m?
0, 2
Let y(x) = 3*x + 23. Let d be y(-7). Let o(v) be the second derivative of d*v**2 + 0 - 1/10*v**5 + 2*v + 1/3*v**3 - 1/3*v**4. Factor o(h).
-2*(h - 1)*(h + 1)*(h + 2)
Let q(t) be the third derivative of -t**5/15 - t**4/3 - 2*t**3/3 - 7*t**2. Factor q(g).
-4*(g + 1)**2
Factor 9 + 75/2*m - 27/2*m**2.
-3*(m - 3)*(9*m + 2)/2
Suppose 50 = -4*l + 234. Suppose -d + 8 = 2*v - 4*v, -5*v + l = 3*d. Solve -2*g**4 - 8*g + 9*g + 0*g**4 + d*g**3 + 15*g - 24*g**2 = 0.
0, 2
Let g(o) = -o**3 - 10*o**2 + 9*o - 16. Let n be g(-11). Suppose -2*w = 4*a + n, -5*a - 5*w - 12 = -w. Factor a*u + 0 - 2/3*u**2.
-2*u**2/3
Suppose -46*r + 139 = 47. Factor 0*i**r + 0*i - 2/5*i**3 + 0.
-2*i**3/5
Let a(v) be the third derivative of -v**6/80 - v**5/10 - 5*v**4/16 - v**3/2 + 25*v**2. Find o such that a(o) = 0.
-2, -1
Let b(c) be the first derivative of -c**6/15 - 6*c**5/25 - c**4/10 + 2*c**3/5 +