c(b) be the first derivative of -b**6/30 - b**5/15 + b**4/36 + b**3/9 - b - 2. Let i(k) be the first derivative of c(k). Let i(y) = 0. Calculate y.
-1, 0, 2/3
Suppose 3 = 6*q - 3*q. Suppose 3*w - q - 5 = 0. Factor 4*f**3 + 4*f**2 - 3*f**3 - 3*f**w.
f**2*(f + 1)
Let t be 20/35*4/8. Suppose 6/7*o**3 + t*o**5 + 0 + 0*o - 6/7*o**4 - 2/7*o**2 = 0. What is o?
0, 1
Let b = -342 - -1731/5. Factor -9/5*c + 0 - b*c**2.
-3*c*(7*c + 3)/5
Let y(r) be the second derivative of -r**6/30 + r**5/10 - r**3/3 + r**2/2 + r + 2. Factor y(a).
-(a - 1)**3*(a + 1)
Let z(b) = b**3 + 25*b**2 + 2. Let j be z(-25). Solve 2/3*p - 2/3*p**j + 0 = 0 for p.
0, 1
Suppose -35 = 5*g - 10*g. Find i such that -g*i**4 + 6*i**2 - i**4 + 5*i**4 - 3 = 0.
-1, 1
Let b(q) be the second derivative of 0 - 1/11*q**4 + 1/22*q**5 + q - 4/33*q**3 - 1/165*q**6 + 8/11*q**2. Factor b(c).
-2*(c - 2)**3*(c + 1)/11
Let f be 2 + 5/(5/(-2)). Factor -t + 13*t + f*t**2 + 5*t**2 - 1 + 5.
(t + 2)*(5*t + 2)
Let w = 2/95 - -112/95. Factor -w*i**3 + 2/5*i**2 + 0*i + 0.
-2*i**2*(3*i - 1)/5
Let x be (-1)/(-2)*257 + -3. Let c = x + -122. Factor 1 + c*z**3 - z**2 - 7/2*z.
(z - 1)*(z + 1)*(7*z - 2)/2
Let j(t) = 6*t**2 + 2*t + 2. Let x(b) = 6*b**2 + 2*b + 1. Let h(a) = -5*j(a) + 6*x(a). Factor h(o).
2*(o + 1)*(3*o - 2)
Suppose 0 = 4*c - 4*n + n, 5 = -c + 2*n. Factor -4*u**2 + 6*u**4 + 3*u**5 - 3*u**2 + 0*u**5 + u**2 - c*u.
3*u*(u - 1)*(u + 1)**3
Let -7*v**3 + v**3 - 2*v**2 + 8*v**3 - v**3 = 0. Calculate v.
0, 2
Let x(f) be the second derivative of 1/60*f**5 + 10*f + 0 - 1/9*f**3 + 0*f**2 - 1/36*f**4. Let x(n) = 0. Calculate n.
-1, 0, 2
Let j(l) be the first derivative of 3/10*l**2 + 8 - 3/5*l - 3/20*l**4 + 1/5*l**3. Suppose j(a) = 0. What is a?
-1, 1
Let j(c) be the second derivative of c**4/9 - 4*c**3/9 - 2*c**2 + 3*c. Factor j(n).
4*(n - 3)*(n + 1)/3
Let v(l) be the third derivative of -25*l**8/1344 - 5*l**7/252 + l**6/36 + l**5/15 - 3*l**4/8 + l**2. Let g(w) be the second derivative of v(w). Factor g(s).
-(5*s - 2)*(5*s + 2)**2
Suppose -5*u = 5*b + 10, 0*b + 6 = u - b. Let x(d) be the second derivative of 0*d**u - 1/30*d**6 + 0 + 2*d + 0*d**3 + 1/10*d**5 - 1/12*d**4. Factor x(c).
-c**2*(c - 1)**2
Let u(s) be the third derivative of 0*s + 1/180*s**6 + 1/1008*s**8 + 1/90*s**5 - 1/24*s**4 + 7*s**2 + 0 - 1/210*s**7 + 1/18*s**3. Determine d so that u(d) = 0.
-1, 1
Let g(c) = c**2 - 1. Let t(p) be the first derivative of 2 + 2*p - 4/3*p**3 + p**2. Let h(m) = -6*g(m) - 2*t(m). Factor h(a).
2*(a - 1)**2
Let r(c) be the third derivative of c**8/70560 + c**7/8820 - c**5/30 + 3*c**2. Let a(k) be the third derivative of r(k). Solve a(v) = 0 for v.
-2, 0
Suppose 2*d = 7*d - 10. What is s in -1/2*s**5 + 1/2*s**3 + 0 + 0*s + 0*s**d + 0*s**4 = 0?
-1, 0, 1
Factor 0 - 1/11*s**4 - 8/11*s - 12/11*s**2 - 6/11*s**3.
-s*(s + 2)**3/11
Suppose 5*r - 3*s = -0*r + 38, -3*r = -5*s - 26. Determine z, given that -z - r*z + 9*z + 15*z**2 - 7*z = 0.
0, 2/5
Suppose -4 = -2*f - 3*f + p, 5*f - 2*p = 8. Suppose -3*c + 3 = 2*n, -3*n - 2*c + f = -7. Factor -2/7 + 4/7*k**2 + 24/7*k**n - 18/7*k**4 - 8/7*k.
-2*(k - 1)**2*(3*k + 1)**2/7
Let m = -16 + 11. Let l be ((-32)/(-40))/((-2)/m). Factor -2/7 + 16/7*g - 32/7*g**l.
-2*(4*g - 1)**2/7
Suppose 8*d = 5*d + 9. Let g(m) = -m**2 + 3*m + 3. Let q be g(d). Factor 0*j**2 - 1/2*j**q + 0 - 1/2*j**5 + 0*j - j**4.
-j**3*(j + 1)**2/2
Let y(s) be the first derivative of 0*s - 1/14*s**4 - 2/7*s**3 + 2 - 2/7*s**2. Factor y(u).
-2*u*(u + 1)*(u + 2)/7
Let w(q) = q**2 + 2*q - 5. Let i be w(-4). Let -a**5 + a**4 - 2*a**2 - 8*a**i + 11*a**3 - 3*a**2 + 2*a = 0. Calculate a.
-2, 0, 1
Suppose 0 = 3*u - 2*x - 19, 5*u + 3*x + 0*x = 0. Factor 1 - 7*d**2 + d**u + d**3 + 4*d**2.
(d - 1)**2*(2*d + 1)
Let y = -89/3 + 30. Let c(w) = w - 4. Let v be c(4). Factor 0 + v*x + 1/3*x**2 - y*x**3.
-x**2*(x - 1)/3
Let k = 157 - 1097/7. Solve -k*a**5 - 2/7*a + 2/7*a**4 + 4/7*a**3 + 2/7 - 4/7*a**2 = 0 for a.
-1, 1
Let s = -22 - -50. Let t(x) = x**2 - 20*x + 53. Let o be t(17). Factor 2*j**o + s*j - 28*j.
2*j**2
Let c(w) be the third derivative of w**8/168 - w**7/35 - w**6/30 + 2*w**5/5 - 2*w**4/3 - 14*w**2. Suppose c(v) = 0. What is v?
-2, 0, 1, 2
Let l(d) be the second derivative of 5*d**4/12 - 5*d**3/3 + 5*d**2/2 - 18*d. Determine b so that l(b) = 0.
1
Let a(j) be the first derivative of -1/96*j**4 + 0*j**5 + 2 + 1/480*j**6 + 0*j**3 - 3/2*j**2 + 0*j. Let t(i) be the second derivative of a(i). Factor t(y).
y*(y - 1)*(y + 1)/4
Let h = -4611/7 + 659. Find v such that 0 + h*v**3 + 4/7*v**2 + 2/7*v = 0.
-1, 0
Suppose 2 = -5*f + 3*a + 9, 0 = 2*f - 4*a. Factor f*t - 3*t**2 - t - 4*t + 2*t.
-t*(3*t + 1)
Let p(o) be the first derivative of o**4/2 - 2*o**3 + 2*o**2 + 18. Suppose p(x) = 0. Calculate x.
0, 1, 2
Let -3*i**2 - 762 - 3*i**4 + 387 + 381 + 15*i - 21*i**3 + 6*i**5 = 0. Calculate i.
-1, -1/2, 1, 2
Let f(n) be the second derivative of -n**5/10 + 5*n**4/24 - n**3/12 - 29*n. Factor f(k).
-k*(k - 1)*(4*k - 1)/2
Let 0*t - t**2 + 1/2 + 1/2*t**4 + 0*t**3 = 0. What is t?
-1, 1
Solve -16/7*o - 6/7*o**2 + 2/7*o**4 + 4/7*o**3 - 8/7 = 0.
-2, -1, 2
Find b, given that 1/3*b**5 + 0 - 2/3*b**4 - 1/3*b**3 + 0*b + 2/3*b**2 = 0.
-1, 0, 1, 2
Let t be 1/4 + (-33)/(-12). Let x be (-30)/(-8)*(-16)/(-12). Factor b**x - t*b**5 + b**5 - b**4.
-b**4*(b + 1)
Let t be 404/496 - 2/31. Solve -3/2*z**3 - 3/4 + 3/4*z**5 + t*z + 3/2*z**2 - 3/4*z**4 = 0 for z.
-1, 1
Let m = 4 - 5. Let v be -3 - -5 - m - 1. Find s, given that 6*s**4 - 11/2*s**3 + 0 - 1/4*s + 2*s**v - 9/4*s**5 = 0.
0, 1/3, 1
Let u = 6 - 6. Suppose a + 5*k + 15 = u, -3 = 3*k + 6. Factor 4/3*z**2 - 1/3*z + a.
z*(4*z - 1)/3
Suppose j - 151 = -146. Suppose -y**j + 1/3*y**3 - 2/3*y**4 + 0*y + 0*y**2 + 0 = 0. Calculate y.
-1, 0, 1/3
Let j(t) be the second derivative of t**3 + 5*t + 0 - 3/2*t**2 - 1/4*t**4. Solve j(d) = 0 for d.
1
Let h(k) be the first derivative of -3*k**5/10 + 21*k**4/16 - k**3 - 3*k**2/2 + 23. Factor h(c).
-3*c*(c - 2)**2*(2*c + 1)/4
Let -10/3*w**4 - 2/3*w**2 + 8/3*w**3 + 0*w + 4/3*w**5 + 0 = 0. Calculate w.
0, 1/2, 1
Let z(d) be the second derivative of -d**6/165 + d**5/110 - 3*d. Factor z(i).
-2*i**3*(i - 1)/11
Suppose -2*x + 4*y + 8 + 0 = 0, 8 = 4*x - 4*y. Let k(d) be the third derivative of 0*d**3 + 1/60*d**5 + 0*d + 2*d**2 + x + 1/24*d**4. Factor k(r).
r*(r + 1)
Let u(g) be the first derivative of 1/3*g**2 + 10 - 16/9*g**3 + 4/5*g**5 - 1/6*g**4 + 4/3*g. Suppose u(h) = 0. Calculate h.
-1, -1/2, 2/3, 1
Let h be (6/40)/(18/10). Let g(u) be the first derivative of 0*u - h*u**3 + 0*u**2 - 1/20*u**5 + 2 - 1/8*u**4. Factor g(c).
-c**2*(c + 1)**2/4
Suppose 21 = -8*g + 15*g. Let q(m) be the second derivative of -g*m + 0 + 2/9*m**3 - 2/3*m**2 - 1/36*m**4. Factor q(d).
-(d - 2)**2/3
Let t be ((-20)/(-10344))/((-12)/2744). Let k = 1/431 - t. Let -10/9*f**2 + 0 - 2/9*f**4 - k*f - 8/9*f**3 = 0. Calculate f.
-2, -1, 0
Let a(r) = r**2 + 4*r + 3. Let n(j) be the second derivative of -j**4/6 - 3*j**3/2 - 7*j**2/2 + j. Let y(l) = 5*a(l) + 2*n(l). Suppose y(x) = 0. Calculate x.
-1
Let s(h) be the third derivative of h**7/13860 + h**6/1320 + h**5/330 - h**4/24 - 4*h**2. Let m(v) be the second derivative of s(v). Factor m(n).
2*(n + 1)*(n + 2)/11
Let w(v) = -v**2 + v - 3. Let s(i) = -1. Suppose 2 = u - 2. Suppose -5*d + 3*g - 18 = 0, u*d - g = -3*g - 10. Let y(z) = d*s(z) + w(z). Factor y(p).
-p*(p - 1)
Factor 2/3*m**2 + 4/3 + 2*m.
2*(m + 1)*(m + 2)/3
Suppose 8/7*a**5 - 4/7 + 62/7*a**3 + 38/7*a**2 + 38/7*a**4 + 2/7*a = 0. What is a?
-2, -1, 1/4
Let u(r) be the third derivative of r**7/210 + r**6/60 + r**5/60 + 3*r**2. Factor u(i).
i**2*(i + 1)**2
Let b(j) be the third derivative of 0*j**3 + 0*j**6 - 1/945*j**7 + 0*j**4 + 5*j**2 + 1/270*j**5 + 0 + 0*j. Determine n, given that b(n) = 0.
-1, 0, 1
Suppose a + 3*q = 0, -4*q = -4*a - q. Let f = 228 + -226. Factor 2/11*w**f + a + 0*w.
2*w**2/11
What is p in 0 - 7/2*p - 3*p**2 + 1/2*p**3 = 0?
-1, 0, 7
Factor 0*s**2 - 2/7*s + 4/7*s**4 + 6/7*s**3 + 0.
2*s*(s + 1)**2*(2*s - 1)/7
Suppose -q - q + 4 = 0. Factor -4 - 40*d**3 + 52*d**2 + 4*d + d**2 - 4*d**q - 9*d**3.
-(d - 1)*(7*d - 2)*(7*d + 2)
Let -3/7*z**5 - 18/7*z**3 - 3/7*z - 12/7*z**2 - 12/7*z**4 + 0 = 0. What is z?
-1, 0
Let w(c) = -2*c + 32. Let i be w(16). Let q(m) be the second derivative of 0 + m + 1/18*m**3 + 1/36