**3 - 3/7*l**5 - 3/7*l + 12/7*l**2 - r = 0. What is l?
-2, -1, 1
Let o(r) = r**4 + r**2 - r + 1. Let t(b) = -4*b + 0*b + 3*b**3 + 6*b**4 + 8*b**2 + 7*b**3. Let w(f) = 2*o(f) - t(f). Factor w(q).
-2*(q + 1)**3*(2*q - 1)
Let l(k) be the first derivative of 0*k - 1/96*k**4 + 1/480*k**6 + 0*k**3 - 2 + 0*k**5 + 1/2*k**2. Let a(n) be the second derivative of l(n). Factor a(o).
o*(o - 1)*(o + 1)/4
Factor -2/3*h + 4*h**2 + 2*h**5 + 22/3*h**4 + 28/3*h**3 - 2/3.
2*(h + 1)**4*(3*h - 1)/3
Let 0 + 1/2*c**2 - 1/2*c = 0. What is c?
0, 1
Let w(a) be the first derivative of a**4/6 - 2*a**3/9 - 7. Factor w(p).
2*p**2*(p - 1)/3
Suppose -15 - 3 = -4*b - 2*r, 3*b = 3*r. Let l(s) be the third derivative of 2/3*s**b + 0 + s**2 + 1/12*s**4 + 0*s - 1/60*s**6 - 1/15*s**5. Factor l(j).
-2*(j - 1)*(j + 1)*(j + 2)
Solve -3/5 + 6/5*o + 3/5*o**4 - 6/5*o**3 + 0*o**2 = 0 for o.
-1, 1
Factor 0 + 0*s + 6/5*s**2 - 3/5*s**3.
-3*s**2*(s - 2)/5
Suppose v**4 + 18*v**4 - 5*v**3 - 14*v**4 = 0. Calculate v.
0, 1
Suppose -7*d = -3*d - 16. Determine z, given that z**3 - 3*z**3 - z**d + 3*z**5 + 3*z**2 - z**3 - 2*z**4 = 0.
-1, 0, 1
Let y(u) be the second derivative of u**4/12 + u**3/6 + u. Let o(n) = -2*n**2 - n**2 + n**4 + n - 3*n + 0*n**2. Let v(w) = -o(w) - 2*y(w). Factor v(r).
-r**2*(r - 1)*(r + 1)
What is z in -10 - 15*z + 70*z - 21*z**2 + 0*z**2 - 24*z**2 = 0?
2/9, 1
Suppose 3*v - 1 = 5*k, v - 1 = -2*k + 3*k. Suppose 5*i - 2 = -2*h, 2*i + 12 = 2*h - 6*h. Let 4*d + 1 + 4*d**3 + d**4 + 3*d**2 + 2*d**v + d**i = 0. What is d?
-1
Let k = 16777/1445 - 3/289. Let n = 12 - k. Factor 2/5*q**2 - n + 0*q.
2*(q - 1)*(q + 1)/5
Let i = 16 + -16. Let b(t) be the third derivative of 0*t**3 + t**2 - 1/84*t**4 + i + 1/210*t**5 + 0*t. Factor b(l).
2*l*(l - 1)/7
Let v(d) be the first derivative of 2*d**3/27 - 5*d**2/9 + 4*d/3 + 27. Let v(m) = 0. Calculate m.
2, 3
Let b(g) be the third derivative of 2*g**7/21 + 11*g**6/24 - g**5/4 + 2*g**2. Factor b(d).
5*d**2*(d + 3)*(4*d - 1)
Let b be (-3 - -6)/(9/6). Let o be b/(-3) + 8/3. Suppose 2/7*l - 4/7*l**3 + 0 + 2/7*l**5 + 0*l**4 + 0*l**o = 0. Calculate l.
-1, 0, 1
Let k(g) be the third derivative of -g**6/240 - g**5/45 - g**4/36 - 8*g**2. Factor k(p).
-p*(p + 2)*(3*p + 2)/6
Let l be (-23)/(-36) - (-3)/12. Let j be 23 - 23 - 2/(-9). Factor j*v**2 + l*v + 8/9.
2*(v + 2)**2/9
Let p(h) be the third derivative of 1/6*h**4 - 3*h**2 + 1/30*h**5 + 0*h + 0 + 1/3*h**3. Factor p(d).
2*(d + 1)**2
Suppose -10 = 3*m - 8*m. Let w(s) be the first derivative of -2 + 2/3*s**6 + 0*s + 2/3*s**3 + 0*s**m + 0*s**4 - 6/5*s**5. Factor w(l).
2*l**2*(l - 1)**2*(2*l + 1)
What is o in 2/19*o**4 - 8/19*o + 16/19*o**2 - 10/19*o**3 + 0 = 0?
0, 1, 2
Let f(v) be the first derivative of 2*v**6/21 - 6*v**5/35 + v**4/14 + 7. Factor f(t).
2*t**3*(t - 1)*(2*t - 1)/7
Let p(s) = 5*s**3 + 25*s**2 + 39*s + 15. Let q(l) = -5*l**3 - 25*l**2 - 40*l - 15. Let t(u) = 5*p(u) + 4*q(u). Factor t(c).
5*(c + 1)**2*(c + 3)
Let f(d) = -5*d**3 + 4*d**2 - 2*d - 6. Let p(y) = -y**3 - y - 1. Let n(a) = a + 6. Let q be n(-5). Let g(w) = q*f(w) - 6*p(w). Factor g(c).
c*(c + 2)**2
Let u(j) be the third derivative of j**5/15 - 2*j**3/3 + j**2. Suppose u(a) = 0. What is a?
-1, 1
Let j(k) = 4*k**2 + 2*k + 1. Let x be j(-1). Find i such that 24*i**2 - 21*i**x - 15*i**4 + 12 + 5*i - 12 + 7*i = 0.
-2, -2/5, 0, 1
Let s = -4 - -10. Let z = s - 4. Factor -4*j**2 - 4 - 4*j - 2*j + z.
-2*(j + 1)*(2*j + 1)
Let b = 13 + -8. Let r be (-2)/(0 - (-25)/(-30)). Factor -28/5*h**3 - 22/5*h**4 - 6/5*h**b - r*h**2 + 2/5 + 2/5*h.
-2*(h + 1)**4*(3*h - 1)/5
Let n = 14 - 14. Let i(r) be the second derivative of 0*r**2 + n*r**4 - 2*r + 1/10*r**5 + 0 + 0*r**3. Find t, given that i(t) = 0.
0
Let m(y) be the third derivative of -y**5/12 + 25*y**4/12 - 125*y**3/6 - 8*y**2. Let m(s) = 0. Calculate s.
5
Let m = -14 - -18. Let v(c) be the second derivative of 0*c**3 + 0*c**2 + 1/10*c**5 + 0 + c - 1/6*c**m. Factor v(u).
2*u**2*(u - 1)
Let o be (9*5/90)/(2/8). Let u(q) be the second derivative of 0*q**4 - 3*q + 0*q**3 - 3/20*q**5 + 0 + 0*q**o. Let u(k) = 0. What is k?
0
Suppose 2*i = -2*i. Factor i + 0*k - 5/4*k**5 + 3*k**4 - 9/4*k**3 + 1/2*k**2.
-k**2*(k - 1)**2*(5*k - 2)/4
Let u = -3 - 1. Let p(y) = -y**2 - 6*y - 6. Let o be p(u). Factor -c**4 + o*c**2 + c**4 - 2*c**4.
-2*c**2*(c - 1)*(c + 1)
Suppose 2*u - 3*d - 2*d - 6 = 0, -4*u - 18 = 5*d. Let z = 8 + u. Find c, given that -c - z*c + 2*c**2 + 3*c + 2 = 0.
1
Let z be 18/6 + 11/(-36). Let k = z - 4/9. Find t such that 1/4 - 1/2*t**3 + 2*t**2 + 3/2*t - t**5 - k*t**4 = 0.
-1, -1/4, 1
Let x = -831 - -834. Factor 9/4*z**x + 0 - 3*z - 3/4*z**4 + 0*z**2.
-3*z*(z - 2)**2*(z + 1)/4
Find y such that 36/7*y**4 + 32*y**2 - 128/7*y**3 - 192/7*y - 4/7*y**5 + 64/7 = 0.
1, 2
Let x(s) be the first derivative of 0*s + 5 - 1/10*s**4 + 0*s**5 + 0*s**3 + 0*s**2 + 1/15*s**6. Factor x(y).
2*y**3*(y - 1)*(y + 1)/5
Let n(t) be the first derivative of t**4/8 + t**3/4 + t**2/8 - 8. Determine l so that n(l) = 0.
-1, -1/2, 0
Let u(q) be the third derivative of 0*q - 1/5*q**5 + 0 - 7*q**2 + 0*q**4 - 1/30*q**6 + 8/3*q**3. Factor u(p).
-4*(p - 1)*(p + 2)**2
Let r(i) be the third derivative of 7*i**5/270 - i**4/54 - i**2. Solve r(d) = 0.
0, 2/7
Let a = -4 + 9. Suppose -5*j - 2*w + 13 + a = 0, j + 3*w - 14 = 0. Suppose g**2 - 2*g**3 - 3*g**2 + j*g**4 + 2*g**3 = 0. Calculate g.
-1, 0, 1
Suppose 5*f - 15 = -0*f. Suppose -2*x = -f*x. Factor 0*l**2 + 1/4*l**4 + x*l + 0 + 0*l**3.
l**4/4
Let l(u) be the first derivative of u**4/18 - 4*u**3/27 + u**2/9 + 3. Solve l(c) = 0.
0, 1
Let y be 6/1*5/10. Suppose -b**y + 4*b - 3*b + 0*b = 0. Calculate b.
-1, 0, 1
Suppose -3*w + 52 = 40. Factor w*s + 4/3 + 1/3*s**4 + 2*s**3 + 13/3*s**2.
(s + 1)**2*(s + 2)**2/3
Suppose 1/3*y**5 - 73/3*y**2 - 16/3 - 11/3*y**4 + 56/3*y + 43/3*y**3 = 0. What is y?
1, 4
Let k be (-2)/6*3 + 2. Let x be (k - 21/18)*-3. Solve -x*s + 1/2*s**3 + 1/2*s**2 - 1/2 = 0.
-1, 1
Let r(o) be the second derivative of 2/15*o**3 + 0 - 1/30*o**4 + 0*o**2 - 5*o. Determine l, given that r(l) = 0.
0, 2
Let p(h) = h**3 + 1. Suppose m - 4 + 5 = 0. Let d be p(m). Let -1/2*s**2 + 1/4*s - 7/4*s**3 - s**4 + d = 0. What is s?
-1, 0, 1/4
Let r(o) be the second derivative of -o**4/4 - 3*o**3/2 - 3*o**2 + 3*o. Determine v, given that r(v) = 0.
-2, -1
Let z(d) = -d + 13. Let m be z(9). Find q such that -20*q + 36 - 5*q + 0*q**2 + q + m*q**2 = 0.
3
Factor 45/7*o + 3/7*o**3 + 27/7 + 3*o**2.
3*(o + 1)*(o + 3)**2/7
Let j be 2*-2 + 18502/4620. Let r(t) be the third derivative of 0*t**5 - 2*t**2 + 0*t + j*t**7 + 0*t**6 - 1/336*t**8 + 0 + 0*t**4 + 0*t**3. Factor r(s).
-s**4*(s - 1)
Suppose -p = 5*u - 45, 2*u - u + 75 = 4*p. Suppose 5*o - p = 0, -12 = -0*z - 4*z + o. What is v in z*v**3 + v**4 + v**4 + 6*v**2 + 2*v**3 + 2*v = 0?
-1, 0
Let b(a) be the second derivative of -3/2*a**2 + 0*a**3 + 0 + 2*a + 1/150*a**5 + 1/30*a**4. Let h(x) be the first derivative of b(x). Factor h(n).
2*n*(n + 2)/5
Let b = -6 - -24. Let h be 12/(-8)*(-4)/b. Factor 1/6 - h*x + 1/6*x**2.
(x - 1)**2/6
Let m(c) = c**2 - c - 1. Let j(r) = -4*r**4 + 10*r**3 - 24*r**2 + 18*r + 22. Let n(k) = 2*j(k) + 44*m(k). Find b such that n(b) = 0.
-1/2, 0, 1, 2
Let b be 7 + -11 - ((-70)/22 + -1). What is o in 0 + 0*o - 2/11*o**4 + 0*o**3 + b*o**2 = 0?
-1, 0, 1
Let m(h) be the second derivative of -3/5*h**5 - 2/45*h**6 + 1/7*h**7 + 2/9*h**4 + 3*h + h**3 + 0 - 2/3*h**2. Find x such that m(x) = 0.
-1, 2/9, 1
Factor -3*v**2 + 4*v**3 - 2*v**2 - 2*v + 0*v**4 + 4*v - v**4.
-v*(v - 2)*(v - 1)**2
Let p(m) = -7*m**4 + 6*m**3 - 7*m**2 + 12*m + 2. Let d(t) = 8*t**4 - 6*t**3 + 6*t**2 - 12*t - 3. Let c(j) = 6*d(j) + 7*p(j). Suppose c(v) = 0. What is v?
1, 2
Let z be 3/(-3) + 0 - -3. Suppose -z*a = -a. Solve a - b - 8*b**3 + 7/2*b**4 + 11/2*b**2 = 0 for b.
0, 2/7, 1
Let o(d) = -d**2 - d. Let m(f) = 8*f**2 + 20*f - 20. Let u(w) = m(w) + 4*o(w). Factor u(x).
4*(x - 1)*(x + 5)
Let c(p) = p**3 - 4*p**2 - 6*p + 6. Let l be c(5). Let q be 0 - l - (0 + -5). Suppose d**2 + q + d + 6*d - 3*d = 0. Calculate d.
-2
Let n(l) be the second derivative of l**4/24 - l**3/6 - 3*l**2/4 - 2*l. Let n(m) = 0. What is m?
-1, 3
Let k(r) be the second derivative of -r**6/180 + r**4/24 + r**3/18 - 41*r. Find n such that k(n) = 0.
-1, 0, 2
Let n(q) = -8*q**4 + 3*q**3 + 18*q**2 - 7*q. Let 