be (-1)/(-11) - (-864)/297. Factor 1/4*u**r + 1/4*u**g - 1/4 - 1/4*u.
(u - 1)*(u + 1)**2/4
Let b(n) be the first derivative of 0*n**3 - 3/5*n**5 + 0*n - 1/6*n**6 - 1/2*n**4 - 11 + 0*n**2. Solve b(y) = 0.
-2, -1, 0
Suppose 0*a**2 - 2/17*a**4 + 0*a - 2/17*a**3 + 0 = 0. What is a?
-1, 0
Let p = 3 - 1. Let x(v) = -v**2 + 5*v + 3. Let d be x(5). Find r, given that 4*r**2 - 3*r**2 - p - d*r + 4*r**2 = 0.
-2/5, 1
Determine w so that -38/13*w**3 - 8/13*w**4 + 0 - 38/13*w**2 + 12/13*w = 0.
-3, -2, 0, 1/4
Let r be (0*(-2)/4)/(-2). Let m(v) = 2*v**2 + 8*v - 7. Let s be m(-5). Factor -1/2*q**4 + 0*q + 0*q**2 + 1/2*q**s + r.
-q**3*(q - 1)/2
Factor 0 + 0*b**3 - 3/7*b**4 + 9/7*b**2 + 6/7*b.
-3*b*(b - 2)*(b + 1)**2/7
Let w be (-10)/(-12)*27/45. Let c(v) be the first derivative of 4/3*v**3 + 0*v + 1 + v**2 + w*v**4. Let c(x) = 0. What is x?
-1, 0
Suppose 6*r - r = -h + 5, -2*h - 5 = -5*r. Let i(t) be the first derivative of 1/20*t**5 + 0*t**2 - 1 + h*t + 0*t**4 - 1/12*t**3. Let i(a) = 0. What is a?
-1, 0, 1
Let t be (-320)/(-45) - 5 - 2/18. Suppose 3/7*q**t - 15/7*q + 9/7 + 3/7*q**3 = 0. What is q?
-3, 1
Let v = 5/9 - 4/9. Let w(k) be the second derivative of -1/9*k**4 + 0 + k + v*k**3 + 0*k**2 + 1/30*k**5. Let w(j) = 0. What is j?
0, 1
Let o(g) be the third derivative of -g**6/660 + g**5/165 + g**4/33 - 8*g**3/33 - 7*g**2. Factor o(j).
-2*(j - 2)**2*(j + 2)/11
Find m, given that 4*m**2 + 12 + 20 - 48*m - m**4 - 3*m**4 + 4*m**2 + 12*m**3 = 0.
-2, 1, 2
Suppose 2*i**2 - 6*i**2 + 10*i**3 + 0*i**3 - 5*i**4 - i**2 = 0. Calculate i.
0, 1
Suppose -15/8*s**2 + 13/8*s - 1/4 = 0. Calculate s.
1/5, 2/3
Let m(w) be the first derivative of 0*w**2 + 1/24*w**4 + 1/12*w**3 - 2 + w. Let r(j) be the first derivative of m(j). Suppose r(g) = 0. Calculate g.
-1, 0
Suppose w = -3*w. Let t(z) be the second derivative of 0*z**2 - 1/15*z**3 + 1/30*z**4 + 3*z + w. Factor t(f).
2*f*(f - 1)/5
Let s(k) be the second derivative of k**4/18 - 5*k**3/9 + 4*k**2/3 - 2*k - 1. Find v, given that s(v) = 0.
1, 4
Let j(k) be the second derivative of k**4/9 - 10*k**3/9 - 5*k. Factor j(m).
4*m*(m - 5)/3
Let w(m) be the second derivative of -m**4/30 - m**3/15 + 9*m. Factor w(a).
-2*a*(a + 1)/5
Suppose -4*f - 3*j = -8, 3*f - 2*f + 3*j = 2. Determine l so that 2*l**2 - 3*l - 4 + 3*l - l**f = 0.
-2, 2
Let d = 181/4 - 45. Suppose d*q**2 + 0 - 1/4*q = 0. What is q?
0, 1
Suppose -2*s = -3*s + 3. Solve z**3 - s*z**2 - z**2 + 3*z**2 = 0.
0, 1
Let l(p) be the first derivative of p**3/12 + p**2/2 + 3*p/4 + 11. Find x, given that l(x) = 0.
-3, -1
Suppose 40 = 4*o - 5*n, -5*o - 2*n - 3*n + 5 = 0. Factor 0 - 4/3*a**2 - 2/3*a**o + 2/3*a + 0*a**3 + 4/3*a**4.
-2*a*(a - 1)**3*(a + 1)/3
Suppose 2*b = -4*z + 1 - 11, -10 = -z + 2*b. Let r(t) be the third derivative of 3*t**2 + z*t**3 - 1/210*t**5 + 0 + 0*t - 1/84*t**4. Factor r(q).
-2*q*(q + 1)/7
Let w = 31 - 13. Let f be -2*1*w/(-42). Factor -f*b**2 - 2/7 - 2/7*b**3 - 6/7*b.
-2*(b + 1)**3/7
Let o(a) be the third derivative of -a**5/12 - 5*a**4/8 + 12*a**2. Factor o(w).
-5*w*(w + 3)
Let g(q) be the first derivative of q**3/15 - q**2/5 - 3*q/5 - 12. Solve g(o) = 0 for o.
-1, 3
Suppose -10 = -r - 5*b, b + 4 = -3*r + 3*b. Let u(i) be the first derivative of r*i + 1 + 1/5*i**5 + 1/4*i**4 - 1/3*i**3 - 1/2*i**2. Let u(n) = 0. What is n?
-1, 0, 1
Let t(y) = 2*y**4 + 2*y**3 + 14*y**2 + 6*y + 8. Let u(z) = -z**4 - z**2 - z - 1. Let v(f) = t(f) + 8*u(f). Solve v(m) = 0.
-1, 0, 1/3, 1
Determine k so that 3 + 9/4*k**4 - 57/4*k**2 + 0*k + 51/4*k**3 - 15/4*k**5 = 0.
-2, -2/5, 1
Let a = 3077/6 + -514. Let z = -1/2 - a. Factor 4*v**2 - 8/3*v**3 - 8/3*v + z + 2/3*v**4.
2*(v - 1)**4/3
Let g = 1624/5 + -324. Determine h, given that 2/5*h**2 + 6/5*h + g = 0.
-2, -1
Let n be -3 + 2 + 4 - -2. Factor -1/2*b**4 + 1/4*b**n + 0*b**2 + 0 + 1/4*b**3 + 0*b.
b**3*(b - 1)**2/4
Let p = -40 + 362/9. Find u such that 2/9*u + p - 2/9*u**2 - 2/9*u**3 = 0.
-1, 1
Let v(j) = 5*j**4 + 34*j**3 + 29*j**2 - 4. Let r(p) = -10*p**4 - 67*p**3 - 57*p**2 + 7. Let l(b) = 4*r(b) + 7*v(b). Find k such that l(k) = 0.
-5, -1, 0
Factor 32/9 + 32/9*y - 2/9*y**4 + 0*y**2 - 8/9*y**3.
-2*(y - 2)*(y + 2)**3/9
Let w = 52 + -52. Let i(f) be the third derivative of w*f**3 + 1/540*f**6 + 0 - 1/135*f**5 + 0*f + f**2 + 1/108*f**4. Factor i(u).
2*u*(u - 1)**2/9
Let i(c) = 2*c**3 - 5*c**2 - 2*c. Let w(d) = d**3 - d**2 - d. Let m(u) = i(u) - 5*w(u). Determine g, given that m(g) = 0.
-1, 0, 1
Let c(t) = -t**2 - t - 16. Let r be c(0). Let q = r + 16. Factor -2/3*a**5 + q*a + 0*a**2 + 0*a**3 + 0*a**4 + 0.
-2*a**5/3
Let d(j) be the first derivative of 3*j**2 + 2/3*j**3 + 4*j + 1. Solve d(l) = 0 for l.
-2, -1
Let 0*v - 1/2*v**5 + 0 + 1/2*v**2 + 1/2*v**3 - 1/2*v**4 = 0. Calculate v.
-1, 0, 1
Let w(k) be the first derivative of -k**5/5 - k**4/3 + 2*k**3/3 + 2*k**2 - k - 5. Let n(f) be the first derivative of w(f). Factor n(q).
-4*(q - 1)*(q + 1)**2
Suppose 0*p + 0*p**3 + 1/7*p**4 + 0*p**2 + 0 + 2/7*p**5 = 0. Calculate p.
-1/2, 0
Factor 1/4*n**2 + 0*n - 1.
(n - 2)*(n + 2)/4
Let z = 0 + 6. Let y(d) = -3*d**3 - 2*d**2 - 7*d + 7. Let h(p) = -4*p**3 - 2*p**2 - 8*p + 8. Let a(v) = z*y(v) - 5*h(v). Factor a(f).
2*(f - 1)**2*(f + 1)
Let l(j) = -9*j - 2 + 5*j + 3*j + 1. Let a(s) = s**3 - s**2 + 2. Let k(u) = a(u) + 2*l(u). Determine p so that k(p) = 0.
-1, 0, 2
Let w(q) be the first derivative of -q**5/40 + q**4/24 + 4*q - 1. Let y(v) be the first derivative of w(v). Find i, given that y(i) = 0.
0, 1
Let u(z) be the second derivative of z**9/20160 + z**8/4480 + z**7/3360 - z**4/4 - 2*z. Let b(f) be the third derivative of u(f). Solve b(o) = 0 for o.
-1, 0
Let j(v) be the third derivative of -v**7/420 + v**6/60 - v**5/30 + v**3/3 + 2*v**2. Let o(d) be the first derivative of j(d). Let o(y) = 0. Calculate y.
0, 1, 2
Let f(w) be the first derivative of 12/5*w + 6/5*w**2 + 1/5*w**3 - 4. Factor f(c).
3*(c + 2)**2/5
Let u be 6/27 + (-11)/9. Let m = u - -5. Factor w**m - 3*w**2 - 6*w**4 - 8*w**3 - w**5 - w**2 + 0*w**2.
-w**2*(w + 1)*(w + 2)**2
Let s(r) be the first derivative of 1/3*r**3 + 0*r + 1/60*r**5 + 1/8*r**4 - 1/2*r**2 - 1. Let n(a) be the second derivative of s(a). Find w such that n(w) = 0.
-2, -1
Let o(f) be the third derivative of -f**6/30 + 2*f**5/15 + 4*f**2. Factor o(w).
-4*w**2*(w - 2)
Let d(g) be the first derivative of 0*g**2 - 1/15*g**4 - 2/15*g**5 - 2 + 0*g + 0*g**3. Factor d(k).
-2*k**3*(5*k + 2)/15
Let o(w) = 15*w**2 + 9*w + 17. Let m(k) = 7*k**2 + 4*k + 8. Let q(c) = 13*m(c) - 6*o(c). Let t be q(3). Determine y so that -3*y**3 + t*y**3 - y**3 - y = 0.
-1, 0, 1
Let o be 8*4/(-72)*-12. Factor o*z + 32/3*z**2 + 2/3.
2*(4*z + 1)**2/3
Let p(z) be the second derivative of -1/2*z**5 - 3*z + 0 + 4/3*z**4 + 4/3*z**3 + 0*z**2. Factor p(m).
-2*m*(m - 2)*(5*m + 2)
Let b be 2315/170 + 1/34*-4. Let y(w) be the first derivative of -4*w**3 - 6*w + 3 + b*w**2. Factor y(i).
-3*(i - 2)*(4*i - 1)
Let b(q) = -3*q**3 + 4*q**2 + q. Let c(w) = -w**3 + w**2 + 1. Let l(r) = -3*b(r) + 6*c(r). Solve l(j) = 0 for j.
-1, 1, 2
Factor -14/5*h**3 + 4/5*h**2 + 16/5*h**4 + 0 + 0*h - 6/5*h**5.
-2*h**2*(h - 1)**2*(3*h - 2)/5
Let m = 24 + -21. Let x(f) be the first derivative of 14*f**2 + 5/4*f**4 - 8*f - 3 - 22/3*f**m. Suppose x(l) = 0. Calculate l.
2/5, 2
Let v(q) be the third derivative of 2*q**7/1155 + q**6/220 + q**5/330 + 9*q**2. Let v(x) = 0. Calculate x.
-1, -1/2, 0
Let o = 80/3 - 26. Factor 4*f**3 - 8/3*f**4 + 0 + 2/3*f**5 + o*f - 8/3*f**2.
2*f*(f - 1)**4/3
Let l(t) = t**3 - 10*t**2 + 15*t + 10. Let m be l(8). Factor 10/7*z**4 - 2/7*z**5 - 20/7*z**3 + 2/7 - 10/7*z + 20/7*z**m.
-2*(z - 1)**5/7
Let y = -21 + 24. Suppose a + 4 = -0*g + 4*g, -y*g = 5*a + 20. Factor g - z**2 - 1/2*z - 1/2*z**3.
-z*(z + 1)**2/2
Let i(k) be the second derivative of k**4/3 + 8*k**3/3 + 6*k**2 - k. Factor i(y).
4*(y + 1)*(y + 3)
Suppose 3*p - 13 = k - 9, 2*k = 3*p - 8. Factor 1/5*z**4 + 1/5*z - 1/5*z**3 + p - 1/5*z**2.
z*(z - 1)**2*(z + 1)/5
Let w(a) be the second derivative of 0 + 1/12*a**3 - 1/48*a**4 - 3*a - 1/8*a**2. Factor w(l).
-(l - 1)**2/4
Solve 0*f**3 + 0 - 4/7*f - 6/7*f**2 + 2/7*f**4 = 0.
-1, 0, 2
Let k(s) be the second derivative of -s**7/1155 + s**6/165 - s**5/66 + s**4/66 + s**2 - 2*s. Let r(b) be the first derivative of k(b). Solve r(c) = 0.
0, 1, 2
Let i(o) be the second 