l**5 + 0 - 2/3*l**3. Factor n(z).
2*(z - 1)*(z + 1)**2*(z + 2)
Let u(k) be the third derivative of -k**8/168 + 4*k**7/105 - k**5/3 + k**4/12 + 2*k**3 - 30*k**2. Find f, given that u(f) = 0.
-1, 1, 2, 3
Let v(t) = -42*t**2 - 43*t + 9. Let f(k) = 42*k**2 + 42*k - 8. Let c(p) = 5*f(p) + 4*v(p). Solve c(u) = 0 for u.
-1, 2/21
Let f(v) be the first derivative of 4/35*v**5 + 64/7*v - 16/7*v**2 + 4/7*v**4 + 3 - 1/21*v**6 - 32/21*v**3. Solve f(g) = 0 for g.
-2, 2
Let h(i) be the second derivative of i**6/15 - 37*i**5/20 + 23*i**4/2 - 86*i**3/3 + 28*i**2 - 5*i - 2. Solve h(j) = 0.
1/2, 2, 14
Let w be 5/(-2)*(-42)/(-140)*-4. Factor 0 - 3/2*a**4 - a**w + 0*a + 1/2*a**2.
-a**2*(a + 1)*(3*a - 1)/2
Let n = 38/111 - -181/444. Let 0 - 9/4*g**5 - n*g**4 + 9/4*g**3 + 0*g + 3/4*g**2 = 0. What is g?
-1, -1/3, 0, 1
Factor 36/11*h**4 + 92/11*h**2 + 2/11*h**5 + 0 + 30/11*h + 96/11*h**3.
2*h*(h + 1)**3*(h + 15)/11
Let i(t) = -15*t**3 - 585*t**2 + 1115*t - 615. Let z(g) = -2*g**3 - 84*g**2 + 159*g - 88. Let c(f) = 3*i(f) - 20*z(f). Factor c(n).
-5*(n - 1)**2*(n + 17)
Let s = 7 - -10. Determine g so that 2*g - s*g + 25*g**2 + 2 - 8 - 4 = 0.
-2/5, 1
Suppose -15/2*n - 9/2*n**2 - 3 + 3/2*n**4 + 3/2*n**3 = 0. What is n?
-1, 2
Let x be (-1)/(10/(-4)) + (-4 - -6). Let d be (63/18 + -4)*0. Factor 8/5*q + d - x*q**2.
-4*q*(3*q - 2)/5
Let f(p) be the first derivative of 1/12*p**3 + 0*p**2 + 0*p + 8 + 9/32*p**4. Let f(i) = 0. Calculate i.
-2/9, 0
Determine x so that 6/5 + 8*x + 46/5*x**2 - 4*x**3 = 0.
-1/2, -1/5, 3
Determine o so that 0*o**2 + 62/3*o - 2/3*o**3 + 20 = 0.
-5, -1, 6
Let m(d) = 4*d**4 - 7*d**3 + 34*d**2 + 55*d + 30. Let o(b) = -3*b**4 + 6*b**3 - 32*b**2 - 54*b - 29. Let u(g) = -4*m(g) - 5*o(g). Factor u(k).
-(k - 5)*(k + 1)**2*(k + 5)
Let p(y) be the first derivative of y**5/5 + 37*y**4/2 + 1292*y**3/3 - 1444*y**2 - 274. Factor p(g).
g*(g - 2)*(g + 38)**2
Let d = 1281 - 1281. Let n(k) be the second derivative of d - 8/3*k**3 + 6*k**2 + 1/3*k**4 + 3*k. Factor n(u).
4*(u - 3)*(u - 1)
Let o(u) be the third derivative of -u**5/120 - 17*u**4/16 + 13*u**3/3 + 458*u**2. Suppose o(z) = 0. What is z?
-52, 1
Factor -25/6*b**2 + 0 - 5/6*b**4 - 5/3*b - 10/3*b**3.
-5*b*(b + 1)**2*(b + 2)/6
Let y(h) be the third derivative of -h**8/6720 + h**7/2520 + h**6/720 - h**5/120 + h**4/12 + 3*h**2. Let g(u) be the second derivative of y(u). Solve g(x) = 0.
-1, 1
Let h(d) be the first derivative of d**2 - 4/5*d**3 + 0*d + 28 + 1/10*d**4. Factor h(n).
2*n*(n - 5)*(n - 1)/5
Let a = 12728 + -12724. Let 0*o + 0 + 2/15*o**5 - 4/5*o**2 - 14/15*o**3 + 0*o**a = 0. Calculate o.
-2, -1, 0, 3
Solve -1/5*h**2 - 3/5*h**3 + 3/5*h + 0 + 1/5*h**4 = 0 for h.
-1, 0, 1, 3
Factor 0 - 1/3*b + 1/6*b**4 + 0*b**3 - 1/2*b**2.
b*(b - 2)*(b + 1)**2/6
Let c(g) be the first derivative of 9*g**4/16 + 8*g**3 - 35*g**2/8 - 11*g/2 + 116. Factor c(v).
(v + 11)*(3*v - 2)*(3*v + 1)/4
Suppose -5*l = -3*z - 9, -2*l = 3*z + 4 + 5. Let f(n) be the first derivative of l*n - 1 - 2/5*n**5 + 0*n**3 - 1/5*n**4 + 0*n**2. Find j, given that f(j) = 0.
-2/5, 0
Suppose -2*a = 3*i + 41, 2*a + 15 = -5*i - 48. Let n = -9 - i. Let -3*d**5 - 2*d**3 + 3*d**3 - n*d**4 + 5*d**5 + 2*d**2 - 3*d**5 = 0. Calculate d.
-2, -1, 0, 1
Determine d so that -45*d**3 + 24*d**3 + 132*d - 54*d**2 - 2*d**4 + 13*d**4 + 14*d**4 - 72 - 3*d**5 - 7*d**4 = 0.
-2, 1, 2, 3
Let q(r) be the second derivative of -r**4/4 + 5*r**3/9 + r + 4. Factor q(x).
-x*(9*x - 10)/3
Suppose 0 = -u - 0*u + 2*c - 22, -5*c + 10 = 0. Let f = -15 - u. Factor -f*q**2 + 9*q + 3 + 3*q - 15.
-3*(q - 2)**2
Let 2/11*a**2 + 40/11*a + 200/11 = 0. What is a?
-10
Let z = 4628/7 + -660. Solve -z*w**2 - 12/7*w + 4/7*w**5 - 4/7 + 12/7*w**4 + 8/7*w**3 = 0 for w.
-1, 1
Let g(a) be the third derivative of a**6/480 - 11*a**5/60 - 23*a**4/24 + 6*a**2 + 16*a. Solve g(q) = 0 for q.
-2, 0, 46
Let t(p) be the second derivative of -5/8*p**2 - 6*p - 845/48*p**4 - 4 - 65/12*p**3. Solve t(c) = 0.
-1/13
Let l = -24/179 + 943/358. Factor l*q - 3 + 1/2*q**2.
(q - 1)*(q + 6)/2
Let l(k) = -2*k**2 + 1. Let b(r) = 48*r**2 + 375*r + 131. Let t(z) = b(z) + 4*l(z). Find f such that t(f) = 0.
-9, -3/8
Let o(a) be the second derivative of -a**4/24 - 2*a**3/3 - 15*a**2/4 - a - 7. Find x such that o(x) = 0.
-5, -3
Let s = 12 - 7. Suppose -4*j = -s*j + 140. Factor 7*w**4 + j*w**3 + 41*w**4 + 15*w + 8 + 41*w + 138*w**2 + 2*w**4.
2*(w + 1)**2*(5*w + 2)**2
Let d be ((-26)/28)/((-10668)/26320). Let w = d - 2/381. Factor w*a + 2/7*a**2 + 32/7.
2*(a + 4)**2/7
Let l(x) be the first derivative of -x**3/4 + 3*x**2/2 - 3*x - 884. Factor l(o).
-3*(o - 2)**2/4
Let t(s) be the first derivative of -3/2*s**2 + 18 - 1/3*s**3 - 2*s. Solve t(r) = 0 for r.
-2, -1
Let m(b) be the third derivative of -b**8/336 - b**7/210 + b**6/40 + b**5/12 + b**4/12 - b**2 - 55. Determine f so that m(f) = 0.
-1, 0, 2
Let g(t) be the second derivative of -8/3*t**3 - 4*t**4 - 9/5*t**5 + 0 - 4/15*t**6 + 0*t**2 + 2*t. Factor g(o).
-4*o*(o + 2)**2*(2*o + 1)
Let j(i) = i**3 - 8*i**2 - i + 10. Let k be j(8). Suppose 0 = -2*b + 2*h + 8, 0 = -b - h - k*h + 16. Find r such that -2*r + 5*r - b*r**2 + 4*r**2 = 0.
0, 1
Let v = 624 - 620. Let q(p) be the second derivative of -1/130*p**5 + 0*p**3 + 0*p**v + 1/195*p**6 + 3*p + 0 + 0*p**2. Suppose q(z) = 0. What is z?
0, 1
Factor 3*d + 0*d**3 + 1/10*d**4 - 31/10*d**2 + 0.
d*(d - 5)*(d - 1)*(d + 6)/10
Let f be ((5 - 5) + -6)*-1. Let y(c) be the second derivative of 1/10*c**5 + 1/2*c**2 - 1/3*c**3 + 6*c + 0 - 1/30*c**f + 0*c**4. Solve y(z) = 0.
-1, 1
Let r be (-5 + 4/1)*((-8)/1)/2. Let -5/6*o**3 + 1/6*o**r + 3/2*o**2 + 1/3 - 7/6*o = 0. What is o?
1, 2
Let r(q) = 8*q**2 + 37*q + 44. Let h(n) = -17*n**2 - 73*n - 91. Let o(y) = 3*h(y) + 7*r(y). Solve o(d) = 0.
-7, -1
Let f be 8/3*12*(-13)/(-208). Factor 0 - 5/6*k**4 + 1/3*k - 4/3*k**3 - 1/6*k**f.
-k*(k + 1)**2*(5*k - 2)/6
Let a(t) be the second derivative of -5*t**4/12 + 125*t**3/3 - 3125*t**2/2 - 206*t. Factor a(x).
-5*(x - 25)**2
Let f = -3136 + 9410/3. Solve f*p**2 + 0*p + 1/3*p**3 + 0 - 2/3*p**4 - 1/3*p**5 = 0 for p.
-2, -1, 0, 1
Let 8*h**3 + 0*h + 14/5*h**5 + 0 - 46/5*h**4 - 8/5*h**2 = 0. What is h?
0, 2/7, 1, 2
Determine o so that 3/2*o**3 + 1 - 1/2*o**4 - 1/2*o**2 - 3/2*o = 0.
-1, 1, 2
Suppose -2*v - 2 = 3*r, 0 = 5*r + v - 0 + 1. Factor -2/9*u**2 + 2/9*u**3 + r*u + 0.
2*u**2*(u - 1)/9
Let w(r) = r**2 + 24*r - 24. Let t be w(-12). Let l be t/(-78) - (-3 + 5 + 0). Factor 0 - 4/13*h**2 + 2/13*h + l*h**3.
2*h*(h - 1)**2/13
Suppose 8*y = -4*y. Factor 2/3*g**3 + 0*g**2 + y + g**4 + 0*g - 5/3*g**5.
-g**3*(g - 1)*(5*g + 2)/3
Let n = 8 + 3. Let r = n + -7. Factor 3*u - u**2 - 2 - r*u**2 + 4*u + 0*u**2.
-(u - 1)*(5*u - 2)
Let l(c) = -c**2 - 5*c - 2. Let z be l(-2). Factor 9*g - z*g - 8*g + 3*g**3.
3*g*(g - 1)*(g + 1)
Suppose 9 = 3*n - 7*u + 5*u, 4*u = 0. Let q(x) be the first derivative of 0*x**4 + 2 + 0*x + 2/5*x**n + 2/5*x**2 - 2/25*x**5. Factor q(z).
-2*z*(z - 2)*(z + 1)**2/5
Let b be (-4)/1*18/576*-4. Factor -b*m**2 - 49/2 - 7*m.
-(m + 7)**2/2
Let t(o) be the second derivative of -o**4/48 + 25*o**2/8 + o + 93. Factor t(s).
-(s - 5)*(s + 5)/4
Let u(m) = 6*m + 47. Let j be u(-7). Let k(z) be the third derivative of -z**3 + 0*z + 5/8*z**4 + 0 - 3/20*z**j - 1/40*z**6 - 4*z**2 + 1/70*z**7. Factor k(w).
3*(w - 1)**3*(w + 2)
Let u(v) = 114*v + 117. Let g be u(-1). Factor 0*k + 3/5*k**g - 3/5*k**2 + 0.
3*k**2*(k - 1)/5
Let d be 212 + (8/(-4) - (-2 + -3)). Determine n, given that 38*n**3 + 180*n**5 + 22 - d*n**2 - 22 - 10 + 225*n**4 - 133*n**3 - 85*n = 0.
-1, -2/3, -1/3, -1/4, 1
Factor 2508*m - 2581*m - 6*m**3 - 7137*m + 418*m**2 - 2450.
-2*(m - 35)**2*(3*m + 1)
Let j = 47 - 43. Factor 0*s**4 + 4*s**2 + 4 + 4*s**j - 6 - 6*s**4.
-2*(s - 1)**2*(s + 1)**2
Let z be (-1 - 0)*96/(-640). Let i(n) be the second derivative of 3*n + 3/4*n**3 + 3/8*n**4 + 0 - 3/2*n**2 - 21/40*n**5 + z*n**6. Factor i(k).
3*(k - 1)**3*(3*k + 2)/2
Let k be ((1104/48)/(-46))/((-50)/36 + 1). Let -k + 3/7*m + 9/7*m**2 - 3/7*m**3 = 0. Calculate m.
-1, 1, 3
Let w(q) be the second derivative of q**6/660 + 4*q**5/165 + 4*q**4/33 + 19*q**2/2 - 15*q. Let u(t) be the first derivative of w(t). Solve u(b) = 0.
-4, 0
Suppose -2*u - p + 9 = -0*u, -21 = 2*u - 5*p. Suppose 0 = z - u - 0. Find l, given that -l + z*l**2 - l**3 - l**3 + 0*l*