that -13*x**p - 2*x**5 + x**3 + 8*x**l + 8*x**2 + 1 - 2*x - 1 = 0.
0, 1
Let x(l) = l**5 - l**3 - l**2 - l. Let t(s) = 8*s**5 - 4*s**4 - 6*s**3 - 2*s**2 - 8*s. Let b(d) = t(d) - 6*x(d). Factor b(i).
2*i*(i - 1)**3*(i + 1)
Let x be (-1)/(-2)*(-36)/(-3). Let z(n) = -n**2 + 1. Let c = 4 + -3. Let l(h) = 4*h**2 + 2*h - 6. Let a(v) = c*l(v) + x*z(v). Suppose a(t) = 0. Calculate t.
0, 1
Suppose p + 4*p = -5*j + 315, 0 = -3*j + 2*p + 174. Let o be 1 - 2 - (-84)/j. Find n such that -2/5*n - 4/5 + o*n**2 = 0.
-1, 2
Let q(u) be the second derivative of -3*u - 1/2*u**2 - 1/30*u**6 + 1/6*u**4 + 0*u**5 + 0 + 0*u**3. Factor q(v).
-(v - 1)**2*(v + 1)**2
Let s(k) = -320*k**2 - 800*k - 525. Let m(v) = 80*v**2 + 200*v + 131. Let l(c) = 25*m(c) + 6*s(c). Determine n so that l(n) = 0.
-5/4
Let i(l) be the first derivative of 2 + 0*l**4 - 1/3*l**3 + 0*l + 1/30*l**5 + l**2. Let a(u) be the second derivative of i(u). Factor a(f).
2*(f - 1)*(f + 1)
Let q(t) = 160*t**4 - 720*t**3 + 504*t**2 - 86*t. Let s(j) = -53*j**4 + 240*j**3 - 168*j**2 + 29*j. Let p(n) = -6*q(n) - 20*s(n). What is l in p(l) = 0?
0, 2/5, 4
Let m = -2514/5 + 503. Suppose 3/5*j**2 + 0*j - m - 2/5*j**3 = 0. What is j?
-1/2, 1
Let c = -6 + 10. Let f(j) = j**2 - 3*j - 2. Let p be f(c). Factor 4*n - p*n**2 + 2 - 2.
-2*n*(n - 2)
Suppose 13 = 5*z - 2. Let m be (z/(-2))/(2/(-4)). Determine a, given that a**m - a**3 - 2*a**4 - 2*a**2 - 4*a**3 = 0.
-1, 0
Let d(t) be the first derivative of 3*t**5/20 - 3*t**4/8 - 3*t**3/4 + 3*t**2 - 3*t - 54. Factor d(c).
3*(c - 2)*(c - 1)**2*(c + 2)/4
Let i(j) = -3*j**3 - 8*j**2 + 7*j + 10. Let o(u) = u**3 + u**2 + u. Let g(r) = -i(r) + 2*o(r). Factor g(k).
5*(k - 1)*(k + 1)*(k + 2)
Let g be 10/24*40/100*14. Let -b**3 - b**5 + 0 - g*b**4 + 2/3*b + b**2 = 0. What is b?
-1, 0, 2/3
Let j = -689/15 - -46. Let k(d) be the second derivative of 0*d**2 + j*d**3 - 1/30*d**4 + 0 - d. Factor k(h).
-2*h*(h - 1)/5
Let x(q) be the second derivative of 7*q**4/4 - 11*q**3/6 - q**2 - 21*q. Factor x(z).
(3*z - 2)*(7*z + 1)
Solve 1/6*b**4 + 1/3*b + 0 - 1/6*b**2 - 1/3*b**3 = 0.
-1, 0, 1, 2
Suppose 4*w + 4 = 4*i, -5 = -2*w - i + 2. Suppose 5 = m + w. Suppose u + m*u**3 - 2*u**3 + 0*u**2 + 2*u**2 = 0. What is u?
-1, 0
Let i(l) be the first derivative of 2*l**5/15 + l**4/3 - 2*l**3/3 + 28. What is c in i(c) = 0?
-3, 0, 1
Factor 2/11*f**2 + 0 + 12/11*f.
2*f*(f + 6)/11
Let k(n) be the second derivative of 18*n**6/5 + 9*n**5/5 + n**4/4 + 19*n. Determine u, given that k(u) = 0.
-1/6, 0
Let a(d) = -3 - 5 - d**3 + 10 - d - 2*d + 3*d**2. Let i be a(2). Determine l so that -14/3*l**3 - 6*l**2 - 4/3*l + i = 0.
-1, -2/7, 0
Let i(p) = -p**3 - 2*p**2 - p - 1. Let g be i(-2). Let w be g - (3 + -7 + 3). Factor 0*j + 0 + 2/5*j**w.
2*j**2/5
Let f(s) be the first derivative of -3*s + 1/16*s**5 - 1/24*s**3 + 3 - 1/40*s**6 - 1/48*s**4 + 0*s**2. Let w(x) be the first derivative of f(x). Factor w(q).
-q*(q - 1)**2*(3*q + 1)/4
Let q be 3 + (-1408)/420 + 4/10. Let n(t) be the second derivative of 2/7*t**2 - 1/42*t**4 + 0 - 2*t - q*t**3. Suppose n(x) = 0. What is x?
-2, 1
Determine i, given that -12*i**2 + 18*i + i**3 + 0*i**3 + i**3 = 0.
0, 3
Suppose -15*w = -11*w + 16. Let j be (-17)/w - 2/8. Factor -1/2*n**5 + 0*n**2 + 0 + 0*n + 1/2*n**3 + 0*n**j.
-n**3*(n - 1)*(n + 1)/2
Let x(t) be the first derivative of -2*t**3/33 + 2*t**2/11 - 2*t/11 - 2. Suppose x(h) = 0. Calculate h.
1
Let k = 12 - 10. Suppose 4 + o**2 - k - 2 = 0. Calculate o.
0
Let y(l) be the second derivative of 0 + 3/7*l**2 + 19/21*l**4 + 3/20*l**5 - 5*l + 41/42*l**3. Suppose y(c) = 0. What is c?
-3, -1/3, -2/7
Let h(s) = s. Let c be h(0). Suppose 2*u + 6 = c, -i - 6 = 2*u - 2. Solve 0 + 1/4*b**4 + 0*b - 1/4*b**i - 1/4*b**5 + 1/4*b**3 = 0 for b.
-1, 0, 1
Let b(z) be the first derivative of z**4/4 + z**3/12 - z**2/2 - z/4 + 3. Solve b(n) = 0.
-1, -1/4, 1
Let p(g) be the second derivative of g**7/13860 - g**6/3960 - g**5/330 - 5*g**4/12 - 3*g. Let o(k) be the third derivative of p(k). Factor o(d).
2*(d - 2)*(d + 1)/11
Let q be -5*((-8)/60 - 0). Let f = 764/3357 + -2/373. Find g, given that -f - 2/9*g**3 - q*g - 2/3*g**2 = 0.
-1
Let n = -4429/3 + 1399. Let v = 78 + n. Factor -1/3 + 1/3*l**4 - v*l**3 + 0*l**2 + 2/3*l.
(l - 1)**3*(l + 1)/3
Let h = 48 - 44. Let y(r) be the first derivative of -1/18*r**6 + 1/12*r**h + 0*r + 0*r**2 + 1/15*r**5 - 1/9*r**3 + 3. Factor y(s).
-s**2*(s - 1)**2*(s + 1)/3
Let h(g) be the third derivative of g**7/525 + g**6/300 - g**5/50 - g**4/12 - 2*g**3/15 + 4*g**2. Suppose h(a) = 0. Calculate a.
-1, 2
Suppose 4*z + 16 = 0, 4*y - 88 = 4*z + 20. Suppose v = -5*p + y, -1 = -3*v + 4*p - 8. Suppose -4 + 2 + 2*k**2 - v*k + 3 = 0. Calculate k.
1/2, 1
Let r(f) be the first derivative of f**6/165 - f**4/66 - 2*f - 3. Let z(n) be the first derivative of r(n). Factor z(v).
2*v**2*(v - 1)*(v + 1)/11
Factor y**3 - 1/2*y**4 + 0 + 1/2*y**2 - y.
-y*(y - 2)*(y - 1)*(y + 1)/2
Let n(s) be the third derivative of -3*s**2 + 1/420*s**5 - 1/42*s**4 + 0 + 1/14*s**3 + 0*s. Factor n(f).
(f - 3)*(f - 1)/7
Suppose -3*w - 3*c = 0, -4*w + c + 16 = -w. What is s in 18*s + 27*s**2 + w + 27/2*s**3 = 0?
-2/3
Let -3*p**2 - 3/2*p**5 + 3*p**4 + 0 + 3/2*p + 0*p**3 = 0. What is p?
-1, 0, 1
Let m be 5 - ((-2)/(-2))/1. Suppose a**4 - 3*a**4 + 3*a**4 - 2*a**m - 2*a**5 = 0. Calculate a.
-1/2, 0
Let w(l) = 28*l**2 + 71*l - 3 + 8*l**2 + 12. Let k(m) = -7*m**2 - 14*m - 2. Let t(i) = 11*k(i) + 2*w(i). Solve t(v) = 0 for v.
-2, -2/5
Suppose -6*j - 2 = -d - 4*j, -2*d - 3*j + 11 = 0. Find b, given that 0*b**2 + 1/2 - 1/2*b**d + b - b**3 = 0.
-1, 1
Let y(u) be the first derivative of -15*u**3 - 15*u**2 - 5*u + 14. Factor y(r).
-5*(3*r + 1)**2
Factor 0*k + 0 - 2/11*k**3 - 4/11*k**2.
-2*k**2*(k + 2)/11
Let j(p) be the third derivative of 0*p + 4/15*p**3 + 7*p**2 - 1/150*p**5 + 0 - 1/300*p**6 + 1/15*p**4. Solve j(i) = 0 for i.
-2, -1, 2
Let m(y) be the second derivative of 0*y**2 + 1/12*y**4 + 0 + 1/6*y**3 - 2*y - 1/30*y**6 - 1/20*y**5. Determine a so that m(a) = 0.
-1, 0, 1
Determine i so that -3/4*i**4 + 0 + 0*i + 1/2*i**3 + 1/4*i**2 = 0.
-1/3, 0, 1
Let i(x) be the first derivative of -10*x**6/3 - x**5 + 5*x**4 + 5*x**3/3 - 55. Suppose i(l) = 0. Calculate l.
-1, -1/4, 0, 1
Let u = -8 - -12. Factor 12*x - 108*x**2 + 327*x**3 - 94*x**4 - 331*x**4 + 47*x**u + 147*x**5.
3*x*(x - 1)**2*(7*x - 2)**2
Let y = -83558 + 414137/5. Let d = y - -733. Factor -d*g**2 - 2/5*g + 0 - 16/5*g**3.
-2*g*(2*g + 1)*(4*g + 1)/5
Let w be 2*20/(-8)*-4. Factor 6*i + 11*i**3 - i**2 - w*i**2 + 4*i**3.
3*i*(i - 1)*(5*i - 2)
Let l be (-3)/3 + 0 - (1 + -4). Factor 0 + 2/3*k + 2/3*k**l.
2*k*(k + 1)/3
Let g = -7 - -9. Factor 3 + 2*y + g*y**2 - 2*y - 5*y**2.
-3*(y - 1)*(y + 1)
Let q(u) be the first derivative of 5*u**4/22 - 2*u**3/11 - 2*u**2/11 - 5. Factor q(o).
2*o*(o - 1)*(5*o + 2)/11
Let f(w) be the second derivative of -w**5/5 + 11*w**4/3 - 16*w**3 - 72*w**2 + 28*w. Factor f(q).
-4*(q - 6)**2*(q + 1)
Let n = 5 - 0. Suppose n*h - 10*h = -20. Factor 2*f**2 + 7*f**4 - 4*f**2 + 0*f**4 - f**h - 4*f**3.
2*f**2*(f - 1)*(3*f + 1)
Solve 0*c + 0 - 1/2*c**2 - c**3 - 1/2*c**4 = 0 for c.
-1, 0
Let t(b) = -9*b**3 - 4*b**2 + 8*b. Let c(s) = -7*s**3 - 4*s**2 + 7*s. Let q(y) = -5*c(y) + 4*t(y). Find i such that q(i) = 0.
0, 1, 3
Let a(u) = u**4 + 2*u**3 + u**2 + 2. Let p be 1 + 1*(1 + -4). Let x(q) = 2*q**4 + 3*q**3 + q + 3. Let n(r) = p*x(r) + 3*a(r). Factor n(m).
-m*(m - 1)**2*(m + 2)
Suppose -2*w - w = -9. Let i = 3 + -1. Factor 2 + 9 + 24*x + 12*x**2 + i*x**w + 5.
2*(x + 2)**3
Let s(c) be the second derivative of -c**7/84 + c**6/20 - c**5/40 - c**4/8 + c**3/6 - 29*c. Find n, given that s(n) = 0.
-1, 0, 1, 2
Let f(b) be the first derivative of 0*b**2 + 5 + 1/10*b**4 + 0*b + 2/25*b**5 + 0*b**3. Factor f(a).
2*a**3*(a + 1)/5
Let h(s) be the second derivative of 2*s**6/15 + s**5/4 - s**4/4 - 5*s**3/6 - s**2/2 + 9*s. Suppose h(i) = 0. What is i?
-1, -1/4, 1
Let a(c) be the third derivative of -c**6/900 + 2*c**5/225 - 13*c**2. Factor a(d).
-2*d**2*(d - 4)/15
Let w(a) be the first derivative of -1/2*a**2 - 1/2*a + 1 - 1/6*a**3. What is o in w(o) = 0?
-1
Let y = -21 + 30. Suppose -2*p + 4*p**2 + 2*p**3 - 8*p**3 + y + 8*p - 13 = 0. What is p?
-1, 2/3, 1
Let c be -3 - (-2 - (5 + -2)). Let u(f) be the first derivative of 1/20*f**5 - 1/24