*v**5 + 0*v + 0 + 2*v**2. Factor u(k).
3*k**3*(k - 2)
What is b in -156*b**3 + 162*b**3 - 2 + 2 - 3*b**4 = 0?
0, 2
Solve 20*f + f**4 - 15*f**4 + 3 + 8*f**2 + 3 - 20*f**3 = 0.
-1, -3/7, 1
Suppose 8/7*n**3 - 2*n - 4/7 - 8/7*n**2 = 0. What is n?
-1/2, 2
Let x(m) = m**2 - 2*m - 9. Let t(c) = 1. Let w(i) = 6*t(i) + x(i). Let o be w(3). Solve 0*s**3 + o - 2/3*s**4 - 1/3*s + 1/3*s**5 + 2/3*s**2 = 0.
-1, 0, 1
Let m(p) be the first derivative of 3*p**2 + 3/2*p**3 - 2*p + 1/4*p**4 - 3. Let z(x) be the first derivative of m(x). Solve z(j) = 0 for j.
-2, -1
Let t(f) = -37*f**4 - 8*f**3 - 5*f. Let g(y) = -55*y**4 - 12*y**3 - 7*y. Let h(o) = -5*g(o) + 7*t(o). Factor h(n).
4*n**3*(4*n + 1)
Let m(s) be the third derivative of 1/8*s**4 + 3/100*s**5 + 0*s + 3*s**2 + 1/10*s**3 + 0 - 9/200*s**6. Let m(h) = 0. What is h?
-1/3, 1
Suppose b = 20 - 8. Let y be b/(-3) + (0 - -4). Factor -2/3*p**2 - 2/9*p**4 + 2/3*p**3 + 2/9*p + y.
-2*p*(p - 1)**3/9
Let d(x) be the first derivative of -2 + 0*x**3 - 1/7*x**2 + 0*x + 1/14*x**4. Solve d(a) = 0.
-1, 0, 1
Let -3/2*u**5 - 3*u**2 + 0*u**3 + 3*u**4 + 3/2*u + 0 = 0. Calculate u.
-1, 0, 1
Let x(s) = 35*s**4 - 55*s**3 - 125*s**2 + 35*s + 70. Let f(n) = -5*n**4 + 8*n**3 + 18*n**2 - 5*n - 10. Let u(b) = -20*f(b) - 3*x(b). Factor u(c).
-5*(c - 2)*(c - 1)*(c + 1)**2
Let l(n) be the third derivative of -1/60*n**5 - 1/48*n**4 + 1/12*n**3 + 0*n + 0 - 2*n**2. Factor l(g).
-(g + 1)*(2*g - 1)/2
Let h(y) be the second derivative of -5*y**4/12 + 20*y**3/3 - 40*y**2 + 28*y. Determine s so that h(s) = 0.
4
Find d such that -3*d**2 - 2*d**2 - 15*d**3 + d + 9*d = 0.
-1, 0, 2/3
Suppose -80*r + 200/3 - 2/3*r**3 + 14*r**2 = 0. Calculate r.
1, 10
Suppose -2*q - 5 = -9. Factor -7*p**4 - q*p**5 - 7*p**3 + p**4 + 4*p**3 - 3*p**3 - 2*p**2.
-2*p**2*(p + 1)**3
Find s such that 0*s**2 - 2/5*s**3 - 1/5 + 2/5*s + 1/5*s**4 = 0.
-1, 1
Let h be (-40)/12*18/(-10). Factor -3*o**3 - h*o**3 + 7*o**3 - 2*o**2.
-2*o**2*(o + 1)
Let b(j) = -3*j**3 - 2*j**2 - j. Let d(r) = r**3 - 4*r**2 + 2. Let w = 15 + -11. Let p be d(w). Let i(n) = -n**3. Let y(c) = p*i(c) - b(c). Solve y(t) = 0.
-1, 0
Let f(v) = v + 7. Suppose -y + 4*y = -15. Let x be f(y). Factor 3 + 5*h - x*h**2 - h - 5.
-2*(h - 1)**2
Let y(l) = -26*l**2 + 26*l + 14. Let s(k) = 11*k**2 - 7*k - 5. Let q(h) = -h**2 - h. Let n(b) = 2*q(b) + s(b). Let i(p) = 14*n(p) + 5*y(p). Factor i(a).
-4*a*(a - 1)
Let b be 4 - ((-36)/(-90))/(2/10). Determine d so that -2/3*d + 0 + 1/3*d**b = 0.
0, 2
Let t = -15 + 15. Let x(n) be the first derivative of 14/25*n**5 + 0*n + t*n**2 + 1 - 4/15*n**3 - 1/2*n**4. Factor x(l).
2*l**2*(l - 1)*(7*l + 2)/5
Let o(f) be the first derivative of -1/6*f + 1/6*f**2 - 6 - 1/18*f**3. Solve o(d) = 0 for d.
1
Let d(j) = 9*j - 1. Let y be d(1). Let x = y + -5. Factor 6*o + o**2 + 2 + 5*o**2 - 2*o**4 + 2*o - 4*o**x - 10.
-2*(o - 1)**2*(o + 2)**2
Let h = 12 - 7. Let g = h - 3. Find m, given that -2*m**2 - m**2 + 2 + m**g = 0.
-1, 1
Let t(j) = 5*j**2 + 4*j - 13. Let r(o) = 3*o**2 + 2*o - 7. Let m(s) = 11*r(s) - 6*t(s). Let l be m(1). Factor 8/5 - 8/5*i + 2/5*i**l.
2*(i - 2)**2/5
Let l(v) be the second derivative of 2*v**6/15 + v**5/5 - 17*v + 2. Solve l(y) = 0.
-1, 0
Let n be 4*-1*(-4)/24. Let j(u) be the first derivative of 1/9*u**3 + n*u + 1/2*u**2 - 1. Factor j(k).
(k + 1)*(k + 2)/3
Let p(k) = -5*k**3 - 20*k**2 + 5*k + 15. Let s(h) = -h**4 + 4*h**3 + 21*h**2 - 4*h - 16. Let x(m) = 4*p(m) + 5*s(m). Solve x(r) = 0 for r.
-2, -1, 1, 2
Solve 10/3*r**2 + 0 + 2/3*r - 4*r**3 = 0 for r.
-1/6, 0, 1
Let p(r) be the second derivative of 1/48*r**3 + 0*r**6 + 0*r**4 + 0*r**2 + 6*r + 1/336*r**7 - 1/80*r**5 + 0. Factor p(k).
k*(k - 1)**2*(k + 1)**2/8
Let n(l) be the third derivative of 0*l + 1/72*l**4 + 0 + 5*l**2 + 1/45*l**5 + 0*l**3. Find h, given that n(h) = 0.
-1/4, 0
Let v = 9 + -6. Determine k so that 3*k - v*k**2 + 5*k**2 - 2*k**2 - 3*k**2 = 0.
0, 1
Suppose -5*d + 3*z + 7 = -6, -d + 4*z + 6 = 0. Let q be 1 - (8/4)/d. Let 0*h - 3/2*h**5 + 3/2*h**3 - 1/2*h**4 + 1/2*h**2 + q = 0. What is h?
-1, -1/3, 0, 1
Suppose 2*o + 18 = 8*o. Suppose 5*g**2 + g - g**2 - g**2 - 4*g + o*g**3 - 3*g**4 = 0. Calculate g.
-1, 0, 1
Let m(p) be the first derivative of 2*p**3/9 - 4*p**2/3 + 2*p - 20. Factor m(v).
2*(v - 3)*(v - 1)/3
Let a be (6/16)/(12/8). Let j(t) be the second derivative of 1/6*t**3 + 0*t**2 + a*t**4 + 0 + 3/20*t**5 - t + 1/30*t**6. Factor j(c).
c*(c + 1)**3
Factor 0 + 4/9*p + 1/3*p**4 - 7/9*p**3 + 0*p**2.
p*(p - 2)*(p - 1)*(3*p + 2)/9
Suppose 0 = s + 4*s. Let g(r) be the third derivative of 0*r - 2*r**2 + s + 0*r**3 + 1/240*r**6 + 1/24*r**4 - 1/40*r**5. Factor g(b).
b*(b - 2)*(b - 1)/2
What is y in -4/5*y - 12/5*y**2 + 12/5 + 4/5*y**3 = 0?
-1, 1, 3
Suppose -5*o = -10*o. Find i, given that o*i**2 + 0 + 2*i**2 - 3*i - i + 2 = 0.
1
Let i(u) = -5*u**4 - 6*u**3 + 18*u**2 - u - 6. Let a(x) = -x**2 + 10*x**2 - 3 + 0*x**2 - 3*x**4 - 3*x**3. Let k(d) = -7*a(d) + 3*i(d). Solve k(c) = 0.
-1, 1/2, 1
Factor 10*d**2 + 3*d**4 + 12*d**3 + 4*d**2 - 5*d**2 + 3*d - 3*d**3.
3*d*(d + 1)**3
Let b(l) be the first derivative of l**6/2 + 6*l**5/5 - 2*l**3 - 3*l**2/2 + 16. Factor b(u).
3*u*(u - 1)*(u + 1)**3
Let f(q) be the second derivative of -q**5/20 - 5*q**4/12 - 7*q**3/6 - 3*q**2/2 - 11*q. Determine l so that f(l) = 0.
-3, -1
Let y = 10 + -6. Let b = 7 - y. Factor -2/9*j**4 + 2/9*j + 2/9*j**2 + 0 - 2/9*j**b.
-2*j*(j - 1)*(j + 1)**2/9
Let l(s) = -2*s - 2. Let u be l(-3). Solve -u*y**3 - y - y + 6*y = 0.
-1, 0, 1
Let s(g) be the first derivative of 441*g**3 - 126*g**2 + 12*g + 17. Suppose s(d) = 0. What is d?
2/21
Let i(v) be the third derivative of -1/45*v**5 + 1/8*v**4 - 4*v**2 + 0*v - 1/9*v**3 + 0. Solve i(q) = 0.
1/4, 2
Let u(j) be the second derivative of j**9/45360 - j**7/7560 + j**4/6 + j. Let v(f) be the third derivative of u(f). Find y such that v(y) = 0.
-1, 0, 1
Let x(h) be the third derivative of h**8/168 + h**7/35 + h**6/60 - h**5/10 - h**4/6 - h**2. What is i in x(i) = 0?
-2, -1, 0, 1
Let x be (8 - 8)/(1/(-1)). Suppose 5*n - 3*n - 10 = x. Find v such that 0 - 4/7*v**4 + 0*v + 2/7*v**n + 2/7*v**3 + 0*v**2 = 0.
0, 1
Suppose 0*n + 3*n**4 + 0*n**2 + 0 + 0*n**3 - 3/2*n**5 = 0. What is n?
0, 2
Let x = -15 + 21. Suppose -4*p = -2*p - 4. Factor -q**2 + p*q + x - 2 - q**2.
-2*(q - 2)*(q + 1)
Let m be 0/(((-1)/7)/(1/(-7))). Suppose -3/2*g**3 + 0 - 3/2*g**2 + m*g = 0. What is g?
-1, 0
Suppose 2*h + 6*u - 4*u - 14 = 0, 4*u = -h + 19. Let v(b) be the first derivative of 1/4*b - 2 + 1/12*b**h + 1/4*b**2. Let v(t) = 0. What is t?
-1
Let a(l) be the third derivative of l**9/30240 - l**8/5040 + l**5/20 - 3*l**2. Let p(g) be the third derivative of a(g). Solve p(y) = 0.
0, 2
Suppose -2*n = 0, -2*n = 3*v - 2*v - 4. Let u = -2 + v. Factor 0*y + 0 - 2/5*y**u.
-2*y**2/5
Let m(i) be the second derivative of 1/420*i**6 + 0*i**4 - i + 0*i**5 + 0 + i**2 + 0*i**3. Let d(q) be the first derivative of m(q). Factor d(a).
2*a**3/7
Suppose 0 = -6*z + 4*z + 6. Let 6*h**4 - 6*h**2 + z*h + h**4 - h**4 - 3*h**5 = 0. What is h?
-1, 0, 1
Let u = -10 - -14. Suppose 0 = 3*g - 19 + u. Factor 4*f**3 + 4*f**2 - 4*f**3 + 2 - g*f - f**3.
-(f - 2)*(f - 1)**2
Let f be 3/(((-6)/(-3))/(-10)). Let k = -73/5 - f. Find q, given that 0 + 2/5*q**5 + 0*q**2 - k*q**3 + 0*q**4 + 0*q = 0.
-1, 0, 1
Let t be (2/3)/((-1)/(-9)). Let i(k) = k**3 - 5*k**2 - 5*k - 3. Let s be i(t). Solve 0 - 2/3*r**s + 2/3*r + 0*r**2 = 0.
-1, 0, 1
Suppose 3*d - 5*c = -25, d + 15 = 6*c - 3*c. Let r = 3 - d. Factor 14/5*j**2 + 8/5 - 4*j - 3/5*j**r.
-(j - 2)**2*(3*j - 2)/5
Factor -q**4 + 14*q**3 - 2*q**3 + 2*q**4 + 9*q**2 + 2*q**4.
3*q**2*(q + 1)*(q + 3)
Let l(w) be the first derivative of 0*w - 1/15*w**3 + 1 + 1/5*w**4 + 0*w**2. Find v, given that l(v) = 0.
0, 1/4
Suppose -3*t = 2*q - 4, -q + 5 = 5*t + 4*q. Suppose 2*c - 4 = 0, 4*c = 2*b - 0*c + 8. Solve -2/3*m**t + 0*m + b = 0.
0
Suppose 0 = 22*u - 108 + 20. Determine w, given that 1/2*w**u + w + 0 - w**3 - 1/2*w**2 = 0.
-1, 0, 1, 2
Let u(r) be the first derivative of r**6/8 - 3*r**5/5 + 9*r**4/8 - r**3 + 3*r**2/8 + 2. Solve u(q) = 0 for q.
0, 1
Let o(i) = 4*i - 2*i + 1 - i. Let j be o(3). Factor -5*w**2 + 21*w**2 - w**j + 8*w + 10*w**3 + 3*w**4.
2*w*(w + 1)*(w + 2)**2
Let r(c) be the first derivative of c**6/2 - 3*c**4/4 + 7. Factor r(d).
3*d**3*(d - 