 0.
-1, 2/5, 1
Let p(z) = z**2 + 6*z + 7. Let o be p(-6). Factor -6*f**2 + f**4 + 10*f + 3*f**3 - o*f**3 - 4 + 2*f**3 + f**4.
2*(f - 1)**3*(f + 2)
Let s = -16 + 18. Factor -8 + i**3 - 4*i**4 + 7 + i**3 + 4*i**s + i**4 - 2*i.
-(i - 1)**2*(i + 1)*(3*i + 1)
Suppose f = -0 - 4, c = -2*f - 6. Suppose -c*u + 5 = -13. Factor -2*k**3 - 24*k + 16 + 10*k**2 - 3*k**2 + u*k**2 - 4*k**2.
-2*(k - 2)**3
Let n(p) be the third derivative of -p**9/272160 + p**8/22680 - p**7/4536 + p**6/1620 - p**5/30 - 4*p**2. Let y(z) be the third derivative of n(z). Factor y(o).
-2*(o - 2)*(o - 1)**2/9
Let g = 2 + -1. Let m(i) = -5*i**3 + 6*i + 6. Suppose k + k + 12 = 0. Let a(v) = -v**3 + v + 1. Let b(d) = g*m(d) + k*a(d). Factor b(o).
o**3
Let u(g) be the first derivative of 3 + 0*g**4 + 0*g**3 + 0*g + 0*g**2 - 2/5*g**5. Factor u(s).
-2*s**4
Let l(h) be the second derivative of -h**7/1260 + h**5/60 + h**4/18 - h**3/2 + 3*h. Let o(t) be the second derivative of l(t). Factor o(c).
-2*(c - 2)*(c + 1)**2/3
Factor 0 + 0*v + 1/7*v**2 + 2/7*v**3.
v**2*(2*v + 1)/7
Let f(q) be the second derivative of q**6/120 - 3*q**5/80 + q**4/48 + q**3/8 - q**2/4 - 4*q. Solve f(h) = 0 for h.
-1, 1, 2
Let r be 2/15 + (-41)/(-30). Let m(u) be the first derivative of 3/8*u**4 - r*u**3 + 3/10*u**5 - 15/4*u**2 - 1 - 3*u. Factor m(t).
3*(t - 2)*(t + 1)**3/2
Let x(u) be the third derivative of -7*u**6/120 - u**5/12 + 2*u**4/3 - 2*u**3/3 - 13*u**2. Factor x(t).
-(t - 1)*(t + 2)*(7*t - 2)
Let f(b) be the third derivative of -3*b**2 + 0 + 0*b**5 + 2/15*b**3 + 1/20*b**4 - 1/300*b**6 + 0*b. Let f(n) = 0. What is n?
-1, 2
Suppose -4 + 1 = 3*s. Let y be 3 - (0 + (0 - s)). Suppose -g**4 + g**y + 1/2*g**5 - 1/2*g + 0*g**3 + 0 = 0. Calculate g.
-1, 0, 1
Let u be 7/(-6)*(-184)/161. Suppose u*z + 1/6*z**3 - 5/6*z**2 - 2/3 = 0. What is z?
1, 2
Let x be 5*(-14)/(-75) + 3/(-5). Let w**2 - x*w + 0 - 2/3*w**3 = 0. Calculate w.
0, 1/2, 1
Let u(s) be the first derivative of -s**4/48 + s**3/24 + s**2/4 - 11*s + 1. Let p(r) be the first derivative of u(r). Factor p(a).
-(a - 2)*(a + 1)/4
Let s(z) be the third derivative of -z**6/420 - 2*z**5/105 - 5*z**4/84 - 2*z**3/21 - 18*z**2. Factor s(u).
-2*(u + 1)**2*(u + 2)/7
Factor -4*k**4 + 19*k - 108 + 24*k**3 - 144*k**2 + 16*k**3 + 98*k + 99*k.
-4*(k - 3)**3*(k - 1)
Factor -2/3*g**2 + 0 - 2/3*g.
-2*g*(g + 1)/3
Let t = 18 + -15. Factor 3*j**2 + t*j**2 - 3*j**2 - 12*j.
3*j*(j - 4)
Let y(f) be the first derivative of -3*f**5/20 + 33*f**4/16 - 27*f**3/4 + 75*f**2/8 - 6*f + 8. What is q in y(q) = 0?
1, 8
Suppose 0 = -2*i + 3*j - 7, -2*j = i - 2*i - 6. Let c be (i/15)/((-4)/(-3)). Suppose -c*h**5 + 0 + 2/5*h**2 + 0*h**3 - 2/5*h**4 + 1/5*h = 0. What is h?
-1, 0, 1
Let b(n) be the third derivative of -n**9/3024 + n**7/840 - 2*n**3/3 + n**2. Let k(c) be the first derivative of b(c). Suppose k(w) = 0. What is w?
-1, 0, 1
Let o(g) = -3*g - 4*g + 5*g + 4*g - 5 + g**2. Let h be o(-4). Factor 2*q**2 - 6/7*q**h - 10/7*q + 2/7.
-2*(q - 1)**2*(3*q - 1)/7
Suppose 8/7 + 8/7*x + 2/7*x**2 = 0. What is x?
-2
Let g(o) be the first derivative of 1 + 0*o**2 + 1/40*o**5 + o + 1/12*o**3 + 1/12*o**4. Let v(k) be the first derivative of g(k). Factor v(r).
r*(r + 1)**2/2
Let s = -68 - -68. Factor 0*f**2 + s + 0*f - 1/4*f**4 + 0*f**3.
-f**4/4
Let t(y) be the third derivative of y**7/6300 - y**6/1800 - y**4/24 - 2*y**2. Let b(u) be the second derivative of t(u). Factor b(h).
2*h*(h - 1)/5
Suppose 3*j = -v + 3, 3*v - j = -2*j + 9. Factor v*c**4 - 4*c**4 - c**2 + 2*c**2.
-c**2*(c - 1)*(c + 1)
Let f(p) be the first derivative of -p**3/9 + p**2/3 - p/3 + 27. Factor f(y).
-(y - 1)**2/3
Let k be (-6 + (-96)/(-18))*-2. Find h, given that -k + 2*h**3 + 4/3*h**2 - 2*h = 0.
-1, -2/3, 1
Let m(r) be the first derivative of r**4/34 + 4*r**3/51 + r**2/17 - 6. Solve m(y) = 0.
-1, 0
Suppose -2*g + 6 = -0*g - 2*p, 0 = 3*g + p - 5. Suppose 2*n - 4 = 3*b - g*b, 0 = -5*b - 20. Find o, given that -1/2*o**3 + n + 1/2*o**2 + 0*o = 0.
0, 1
Let n(m) = 48*m**4 - 177*m**3 + 177*m**2 - 15*m. Let x(r) = -3*r**4 + 11*r**3 - 11*r**2 + r. Let i(p) = 2*n(p) + 33*x(p). Solve i(t) = 0.
0, 1
Let -804*k**5 - 1181*k - 5264*k**3 - 64 - 3040*k**2 + 118*k**5 + 445*k - 3332*k**4 = 0. What is k?
-2, -2/7
Let o(l) = 41*l**4 - 8*l**3 + 9*l**2 - 9*l. Let b(k) = -10*k**4 + 2*k**3 - 2*k**2 + 2*k. Let c(m) = -9*b(m) - 2*o(m). Factor c(v).
2*v**3*(4*v - 1)
Let j be (-6)/8 - (-92)/16. Let z(o) be the third derivative of 2*o**2 + 0 + 1/6*o**4 + 2/3*o**3 + 1/60*o**j + 0*o. Factor z(w).
(w + 2)**2
Let s be (5*(-1)/(-45))/((-1)/(-6)). Let -4/3*p + 2/3*p**3 - s*p**2 + 0 = 0. Calculate p.
-1, 0, 2
Let -16/7 - 20/7*u - 4/7*u**2 = 0. Calculate u.
-4, -1
Let j(c) = -2*c**3 - 47*c**2 - 45*c + 17. Let a(v) = -v**3 - 16*v**2 - 15*v + 6. Let s(r) = -17*a(r) + 6*j(r). Let s(o) = 0. What is o?
-1, 0, 3
Let b = -3041 + 164191/54. Let x = 2/27 - b. Factor -r - x - 1/2*r**2.
-(r + 1)**2/2
Suppose 41 = 4*j + 125. Let c be -8 + 5 - 141/j. Factor -c*g**2 + 8/7*g**3 + 6/7*g + 0.
2*g*(g - 3)*(4*g - 1)/7
Suppose 18*n**2 - 17*n - 12*n**3 + 5*n**2 + 5*n + 3*n**4 - 5*n**2 + 3 = 0. Calculate n.
1
Suppose 0 = 2*x - x - 2. Find y such that x*y**2 - 4*y**4 - 6*y**3 - y - 6*y**2 + 2*y**5 - 3*y**5 = 0.
-1, 0
Let r(b) = 26*b**2 - 20*b + 16. Let d(s) = 3 - s + 7*s**2 - 2*s**2 - 5*s + 2*s. Let i(t) = 16*d(t) - 3*r(t). Determine g, given that i(g) = 0.
0, 2
Let x = 4/1789 - -73321/12523. Let a = x + -37/7. Find d such that a*d**3 - 4/7*d - 2/7 + 0*d**2 + 2/7*d**4 = 0.
-1, 1
Let g(t) = -4*t**5 - 8*t**3 - 6*t + 6. Let x(r) = -r**5 - r**3 - r + 1. Let y(f) = g(f) - 6*x(f). Factor y(s).
2*s**3*(s - 1)*(s + 1)
Let u(q) be the third derivative of 1/24*q**3 + 0*q - 1/840*q**7 + 0*q**5 - 1/240*q**6 + q**2 + 0 + 1/48*q**4. Determine d, given that u(d) = 0.
-1, 1
Let h be (8/120)/(-4 - (-100)/24). Factor h*q**2 + 4/5*q**4 + 0 + 7/5*q**3 - 1/5*q.
q*(q + 1)**2*(4*q - 1)/5
Let b be (-58)/(-18) - (7 - 4). Let 2/9*h**2 - b*h**3 + 0 + 0*h = 0. Calculate h.
0, 1
Let m = 50696/5 - 10177. Let s = m - -38. Let 1/5*c**2 - s*c**4 + 0*c + 0 - 1/5*c**5 + 1/5*c**3 = 0. What is c?
-1, 0, 1
Let l(f) be the second derivative of f**6/540 + f**5/270 - f**2/2 - 4*f. Let c(p) be the first derivative of l(p). Solve c(u) = 0 for u.
-1, 0
Let c = -263339/165 - -1596. Let x(z) be the second derivative of 0 + c*z**6 + 1/33*z**3 + z + 3/110*z**5 + 1/22*z**4 + 0*z**2. Factor x(g).
2*g*(g + 1)**3/11
Let l(f) be the second derivative of -4*f - 1/21*f**3 + 1/35*f**5 + 0*f**2 - 1/147*f**7 + 0*f**4 + 0 + 0*f**6. Factor l(z).
-2*z*(z - 1)**2*(z + 1)**2/7
Suppose 0 = g + 4*g - 15. Suppose 2*v**2 + 6*v + 9*v**5 + v**2 - g*v**4 - 13*v**3 - 2*v**3 = 0. Calculate v.
-1, -2/3, 0, 1
Factor 1/5*s**2 + 2/5*s + 1/5.
(s + 1)**2/5
Let p(o) be the first derivative of -o**8/336 + o**6/60 - o**4/24 - o**2 + 1. Let l(t) be the second derivative of p(t). Suppose l(w) = 0. Calculate w.
-1, 0, 1
Let y be 1*-4 - (-9)/18*18. Let t(n) be the second derivative of 1/35*n**y - 5/42*n**4 - 4*n + 4/21*n**3 + 0 - 1/7*n**2. Let t(u) = 0. Calculate u.
1/2, 1
Let r(y) = y**2 - 7*y + 9. Let t = -7 + 13. Let s be r(t). Find v such that -10 + v**s + v**4 + 10 - v - v**2 = 0.
-1, 0, 1
Suppose 6*i - 8*i = -22. Let q(v) = 5*v**3 + 3*v**2 + 3*v + 1. Let g(n) = 9*n**3 + 6*n**2 + 5*n + 2. Let x(l) = i*q(l) - 6*g(l). Factor x(a).
(a - 1)**3
Factor 17/4*h - 9*h**2 - 1/2.
-(4*h - 1)*(9*h - 2)/4
Factor -6/5*j**3 - 1/5*j**5 - 4/5*j**2 + 0 + j**4 + 8/5*j.
-j*(j - 2)**3*(j + 1)/5
Suppose 5*v - 2*a - 2 = 0, -5*a - 2 - 3 = 4*v. Suppose v*h + 20 = 5*h - z, -2*z = 2*h + 4. Determine i so that i**3 - i**5 + 3*i**5 + i**h + 4*i**4 = 0.
-1, 0
Let d be (4/3)/(120/36). Suppose d*v**4 + 2/5*v**2 + 0*v + 0 - 4/5*v**3 = 0. Calculate v.
0, 1
Let f(p) = -p**2 + 14*p - 12. Let n be f(13). Suppose 3*h - 7 = -3*b - n, -5*h = 3*b - 10. Suppose c**3 - 5/3*c**h + 0 + 2/3*c = 0. What is c?
0, 2/3, 1
Let v be 46/11 + (-10)/(-5) + -6. Factor 2/11*d**2 - 2/11 + v*d**3 - 2/11*d.
2*(d - 1)*(d + 1)**2/11
Factor -296*o - 2 - 3*o**2 - 5*o**3 - 6*o**2 + 289*o - o**4.
-(o + 1)**3*(o + 2)
Let s = 10 + -6. Factor 24*j**2 + 28*j**4 - 4 + 37*j**s - 53*j**4 - 32*j**3.
4*(j - 1)**3*(3*j + 1)
Let s = 7 + -3. Let t(h) be the second derivative of 0 - h + 3/10*h**5 - 1/15*h**6 - 1/3*h**s + 0*h**3 + 0*h**2. Determine y so t