 Let s(o) = 0. Calculate o.
-3, -1/2
Let o(l) be the first derivative of l**4/2 + 14*l**3/3 - 56*l**2 + 96*l - 158. Factor o(j).
2*(j - 4)*(j - 1)*(j + 12)
Let t(c) = -c + 16. Let o be t(6). Factor -d - d**2 - 3*d - 10 + o.
-d*(d + 4)
Let w(l) = l**3 - 11*l**2 - l + 13. Let s(o) = 2*o**2 - 13*o + 4. Let i be s(7). Let j be w(i). Factor 6/5*h - 2/5*h**j + 0.
-2*h*(h - 3)/5
Let l = -17 + 14. Let f(c) = -3*c - 9. Let h be f(l). Factor j**2 + h*j**2 - 4*j**2 + 5*j**2 + j**3 + j.
j*(j + 1)**2
Factor 2*a - 2/3*a**2 + 0.
-2*a*(a - 3)/3
Factor -7*t**2 + 729*t**3 - 54*t**2 + 4*t**2 - 2*t - 58*t - 723*t**3 + 3*t**4.
3*t*(t - 4)*(t + 1)*(t + 5)
Let r(g) be the second derivative of -g**7/35 - 32*g**6/75 - 7*g**5/6 + 26*g**4/15 + 148*g**3/45 - 32*g**2/5 - 798*g. Suppose r(q) = 0. What is q?
-8, -3, -1, 2/3
Let x = -65 - -71. Let y(u) be the first derivative of -3/5*u**5 + 2*u**3 - 3*u - 3/4*u**4 + 3/4*u**2 + 2 + 1/4*u**x. Suppose y(b) = 0. Calculate b.
-1, 1, 2
Let v(l) be the second derivative of 2/9*l**4 + 1/9*l**3 + 0*l**2 + 8*l + 0. Suppose v(u) = 0. What is u?
-1/4, 0
Determine s so that -8748 + 86*s**2 + 3*s**3 + 11271 + 91*s**2 + 2697*s = 0.
-29, -1
Let d(j) be the second derivative of j**5/20 + j**4/12 - 20*j. Let x(g) = -7*g**3 - 22*g**2. Let w(y) = 2*d(y) + x(y). Suppose w(v) = 0. What is v?
-4, 0
Let a be 1/((-1)/(-3)) - 1. Suppose 0 = b - a*b + 2. Let 7 + 0 - 30*g**b + 18*g - 8 - 3 - 6*g**4 + 22*g**3 = 0. Calculate g.
2/3, 1
Factor -9 + 4*s**2 - 1/2*s**3 - 9/2*s.
-(s - 6)*(s - 3)*(s + 1)/2
Let j(b) be the first derivative of 8 + 4/21*b**3 + 1/21*b**6 + 0*b**4 - 1/7*b**2 + 0*b - 4/35*b**5. Factor j(n).
2*n*(n - 1)**3*(n + 1)/7
Let r(y) be the second derivative of -5*y**4/12 - 45*y**3/2 - 230*y**2 + y + 59. What is l in r(l) = 0?
-23, -4
Let n(g) = g**2 - 5*g - 28. Let m be n(9). Factor -m*i + 0*i**2 + 3*i - 5*i**2.
-5*i*(i + 1)
Let s(p) = 2*p + 6. Let w = -12 + 14. Let c(j) = 3*j - j + 6*j + j**w - j + 17. Let t(u) = 2*c(u) - 7*s(u). Suppose t(f) = 0. Calculate f.
-2, 2
Find i, given that 19*i**3 + 5*i**4 - 160*i + 65*i**2 + 105 + 21*i**3 - 55*i**2 = 0.
-7, -3, 1
Let o(q) = -47*q**4 - 3*q**3 + 214*q**2 - 264*q + 89. Let n(h) = -9*h**4 - h**3 + 43*h**2 - 53*h + 18. Let f(d) = 11*n(d) - 2*o(d). Solve f(v) = 0 for v.
-4, 1
Let q(k) be the third derivative of 0*k**4 + 1/150*k**5 + 0*k**3 - 5*k**2 + 0 - 1/600*k**6 + 0*k. Suppose q(b) = 0. Calculate b.
0, 2
Suppose -3*u = -0*u - 18. Suppose -2*x = -2*z - u, -3*z + 6*x - 14 = 2*x. Let -2*g**5 - 1 - g**4 - g**5 - g + z*g**5 + 2*g**2 + 2*g**3 = 0. What is g?
-1, 1
Let t(d) be the first derivative of d**4/28 + 5*d**3/7 - d**2/14 - 15*d/7 + 362. Solve t(o) = 0 for o.
-15, -1, 1
Let n(g) be the second derivative of g**7/7560 + g**6/1080 - g**5/120 + 9*g**4/4 + 5*g. Let j(q) be the third derivative of n(q). Factor j(h).
(h - 1)*(h + 3)/3
Let w be 2 - 0/(-3 - (-5 - -3)). What is f in w*f**5 - 5*f**5 + 275 + 51*f**4 - 128 + 570*f**2 - 282*f**3 - 483*f = 0?
1, 7
Let l(f) be the first derivative of -2*f**5/45 + f**4/18 + 2*f**3/27 - f**2/9 + 142. Factor l(g).
-2*g*(g - 1)**2*(g + 1)/9
Let y = 1389114643/654 - 2124028. Let c = y + -2/327. Factor -7*i**3 - 17/4*i + c + 43/4*i**2.
-(i - 1)*(4*i - 1)*(7*i - 2)/4
Let x(s) be the third derivative of -1/12*s**5 + 0 - 490/3*s**3 + 32*s**2 + 0*s + 35/6*s**4. Factor x(d).
-5*(d - 14)**2
Let 24/5 + 2/5*v**3 - 32/5*v + 6/5*v**2 = 0. What is v?
-6, 1, 2
Let n = -2625 + 13127/5. Solve -1/5*h**2 + 0*h + 0 + n*h**3 = 0.
0, 1/2
Factor -8/5*i + 6/5 + 2/5*i**2.
2*(i - 3)*(i - 1)/5
Let a(n) = 36*n - 2769. Let g be a(77). Suppose -28/11*p + 8/11 + 7/11*p**4 - 6/11*p**2 + 19/11*p**g = 0. What is p?
-2, 2/7, 1
Let x(y) be the second derivative of -y**6/15 + 83*y**5/70 - 40*y**4/7 - 12*y**3/7 - 20*y - 2. Factor x(u).
-2*u*(u - 6)**2*(7*u + 1)/7
Factor 150/7*z - 1875/7 - 3/7*z**2.
-3*(z - 25)**2/7
Suppose 5*u = 2*w + 257, 0 = -3*w - u - u - 395. Let i = -515/4 - w. Determine v, given that v + 3*v**2 - 7/4*v**4 - i*v**3 + 0 = 0.
-2, -2/7, 0, 1
Let z be -6*2/4*10/(-15). Determine l so that 1/5*l**5 - 1/5 - l**4 - 2*l**z + 2*l**3 + l = 0.
1
Let p be (-1995)/(-630) - (-2)/(-12*1). Let d(s) be the first derivative of 1/9*s**3 + 0*s + 1/12*s**4 - p - 1/15*s**5 - 1/6*s**2. Factor d(g).
-g*(g - 1)**2*(g + 1)/3
Let o(k) = -4*k**2 + 8*k - 66. Let w(u) = 7*u**2 - 8*u + 67. Let s(d) = 6*o(d) + 4*w(d). Solve s(a) = 0.
-8, 4
Let g be 3 + -8 - 4*(-5)/(-10). Let h be 11 + g + -3 + 3. Factor 0 - 1/2*w**3 - 1/4*w**h + 1/2*w + 1/4*w**2.
-w*(w - 1)*(w + 1)*(w + 2)/4
Let r(m) be the first derivative of m**3/15 - 3*m**2/2 + 26*m/5 + 53. What is q in r(q) = 0?
2, 13
Let k(w) be the third derivative of 14*w**2 + 1/420*w**6 + 1/70*w**5 + 0*w + 1/21*w**3 + 0 + 1/28*w**4. Factor k(c).
2*(c + 1)**3/7
What is q in 1/3*q**2 - 7/3*q + 4 = 0?
3, 4
Factor 5*l**2 + 17/3 + 1/3*l**3 - 11*l.
(l - 1)**2*(l + 17)/3
Let a(p) = -3*p**3 - 5*p**2 - 7*p. Let x(b) = 4*b**3 + 7*b**2 + 10*b. Let t(s) = -7*a(s) - 5*x(s). Factor t(j).
j*(j - 1)*(j + 1)
Let f(t) be the third derivative of 8*t**2 - 1/240*t**4 + 1/1200*t**6 + 1/600*t**5 + 0*t + 0 - 1/60*t**3. Factor f(z).
(z - 1)*(z + 1)**2/10
Let w be (-2)/(-3) - (-50)/6. Let s = w + -12. Let q(h) = -3*h**2 + 3. Let f(z) = 3*z**2 - 3. Let g(r) = s*q(r) - 2*f(r). Factor g(n).
3*(n - 1)*(n + 1)
Let h = -118869/20 + 5948. Let o = h + 527/60. Suppose o*n - 39*n**2 - 4/3 + 27*n**3 = 0. Calculate n.
2/9, 1
Determine o, given that 26/7*o**2 + 22/7 - 2/7*o**3 - 46/7*o = 0.
1, 11
Let a = -15 - -19. Factor -6*u - 6*u**2 + u**3 - 2 - a*u**3 + 4*u**3 - 3*u**3.
-2*(u + 1)**3
Let j(r) be the first derivative of r**4/3 - 47*r**3/9 + 22*r**2 + 12*r - 119. Factor j(x).
(x - 6)**2*(4*x + 1)/3
Let z(c) be the third derivative of -5*c**8/336 + 5*c**6/24 - 5*c**4/6 - 595*c**2. Determine i, given that z(i) = 0.
-2, -1, 0, 1, 2
What is c in 16*c**2 - c**3 + 6*c**4 - 4*c**3 - 52*c**3 + 27*c**2 + 89*c**2 - 54 - 27*c = 0?
-1/2, 1, 3, 6
Factor -3*u**2 - 16900 - 6*u**2 - 56*u + 5*u**2 + 488*u + 88*u.
-4*(u - 65)**2
Suppose 2*b + 3*l = -0*b - 4, 0 = -4*b - l + 12. Factor 3*c**3 + c**3 - b*c**2 - 2 + 6*c**2 - c**5 - 3*c.
-(c - 2)*(c - 1)*(c + 1)**3
Let j(g) be the first derivative of -g**4/12 + g**3/3 + 3*g**2/2 + g + 25. Let q(k) be the first derivative of j(k). Find i, given that q(i) = 0.
-1, 3
Let y(i) be the first derivative of 0*i**3 + 4*i**2 + 1/10*i**5 - 1/2*i**4 - 8*i - 10. Factor y(u).
(u - 2)**3*(u + 2)/2
Suppose 81 = -4*w + m, -w - 2*m + 0*m - 18 = 0. Let p(l) = -4*l**2 + 8*l - 34. Let j(v) = v**2 - 3*v + 11. Let r(q) = w*j(q) - 6*p(q). Factor r(y).
4*(y - 1)*(y + 4)
Suppose -950 = 113515*o - 113534*o. Suppose -57/2*m**3 + o*m**2 + 8 - 34*m + 9/2*m**4 = 0. What is m?
2/3, 1, 4
Let z(u) = -u**5 - 9*u**4 - 15*u**3 + 23*u**2 - 2*u + 2. Let t(y) = -y**2 - y + 1. Let i(x) = 4*t(x) - 2*z(x). Suppose i(m) = 0. What is m?
-5, 0, 1
Let b = -22412 + 22415. Factor 2/3 - 1/3*i**b + 1/3*i - 2/3*i**2.
-(i - 1)*(i + 1)*(i + 2)/3
Let -8*z + 26/3 - 2/3*z**2 = 0. Calculate z.
-13, 1
Let b(n) be the third derivative of -n**6/40 + 9*n**5/20 + 3*n**4/2 - 10*n**3 - 2*n**2 - 69. Factor b(j).
-3*(j - 10)*(j - 1)*(j + 2)
Let j(h) be the second derivative of -13/3*h**3 + 5/3*h**4 + 3*h**2 + h**5 + 1 + 1/7*h**7 - 3*h - 13/15*h**6. Determine c so that j(c) = 0.
-1, 1/3, 1, 3
Let b be 2/3*-1 - 176/(-48). Let c(i) be the first derivative of -1/20*i**5 + 1/4*i + 0*i**b + 1/8*i**4 - 6 - 1/4*i**2. Determine a so that c(a) = 0.
-1, 1
Let a be (-1)/7 - 348/(-84). Suppose -20*u + 12 = -28. Let -a*g - 24/5 - 4/5*g**u = 0. Calculate g.
-3, -2
Suppose 4*v - 12*j = -13*j + 7, 0 = -5*v + 2*j + 25. Factor -14/5*b + 2*b**2 + 6/5 - 2/5*b**v.
-2*(b - 3)*(b - 1)**2/5
Let x = 1/9 - 1/27. Let y(u) be the second derivative of x*u**3 + 0*u**2 + 0 - 1/54*u**4 - 5*u. Solve y(a) = 0 for a.
0, 2
Let n(k) be the first derivative of 0*k**3 + 3/4*k**4 + 0*k - 1/5*k**5 + 0*k**2 - 13. Factor n(j).
-j**3*(j - 3)
Let v(g) be the second derivative of 5*g**4/42 + 8*g**3/7 - 5*g**2/7 - 115*g. Factor v(k).
2*(k + 5)*(5*k - 1)/7
Let z(r) = 38*r**3 - 2*r**2 + 1. Let q be z(-1). Let p = q - -41. Find v such that 0*v**3 + 3/4*v**p - 1/2*v - 1/4*v**4 + 0 = 0.
-2, 0, 1
Let s = -1 - -11. Find j such that -2*j + s - j - 3*j**2 - 10 = 0.
-1, 0
Let s(z) = -300*z - 4805. Le