6 - 8. What are the prime factors of (-460)/(-16) - (-2)/i?
29
Let u(j) = -2*j + 7. Suppose 3*k + 21 = -0*k. List the prime factors of u(k).
3, 7
Suppose -15 = -5*x + 4*x. Suppose -3*o = -5*v + 23, x = 4*v + 2*o - o. What are the prime factors of v?
2
Suppose -5*y + 96 = u - 4, -99 = -4*y + 3*u. List the prime factors of y.
3, 7
Suppose 0 = 5*c + 30 - 0. Let m be (3/c)/(1/36). What are the prime factors of 1/(-2) - m/4?
2
List the prime factors of (66/(-22))/((-2)/6).
3
Suppose 5 - 3 = -h. Let r be h/9 - (-238)/18. Let n = 18 - r. List the prime factors of n.
5
Let r(o) = o**3 - 2*o**2 + 3*o - 3. Let f be r(2). Suppose 115 = 2*s + f*s. Suppose s = 4*j - 9. List the prime factors of j.
2
Suppose 6*n - 143 - 1 = 0. Let m = n - -1. List the prime factors of m.
5
Suppose -5*j + 6*j - 5 = 0. Suppose -z - 3*b - 7 = 0, j*z - 2*b - b = 55. List the prime factors of z.
2
Let k(i) = -17*i - 7. Let m be k(-7). Suppose 0 = 5*o + 3*u + m, 0 = -o - 2*u - 3*u - 18. Let t = -15 - o. What are the prime factors of t?
2
Let m(b) = 2*b**2 + 1. Suppose -2 = 3*y + 1. Let n be m(y). What are the prime factors of (n + 0)*(-16)/(-12)?
2
Suppose 0*v - 4*v - 8 = 0, -2*m - v - 978 = 0. List the prime factors of (-1)/6 + m/(-48).
2, 5
Let b(z) be the first derivative of 9*z**2/2 - z + 3. List the prime factors of b(2).
17
Suppose 4*f = 3 + 5. Suppose 5*d = f*d. Suppose 5*w - 45 + 0 = d. List the prime factors of w.
3
Suppose -4*c + 0*c - 8 = 0, 56 = 2*y - 4*c. Suppose y + 6 = 3*t. List the prime factors of t.
2, 5
Let x = 45 + -25. List the prime factors of x + -2 + 1*3.
3, 7
Let u = 2 - 3. Let b be u + -1 + (-2 - -4). Suppose 0 = 2*n - 6 - b. What are the prime factors of n?
3
Let v(w) = -36*w + 4. What are the prime factors of v(-3)?
2, 7
Suppose 3*a - 70 = -5*w + 2*a, w + 5*a = -10. Suppose l + 0 - w = 0. List the prime factors of l.
3, 5
Let m(l) = -11*l - 22. What are the prime factors of m(-9)?
7, 11
Let q(t) = 5*t**3 + t**2 - t - 1. What are the prime factors of q(2)?
41
Suppose -h = -27 - 68. Suppose -4*y = y - h. Let k = y + 2. List the prime factors of k.
3, 7
Suppose -x - 624 = -5*x. Suppose x + 120 = 4*h. Suppose 4*s - 16 = 0, 4*j = -j - s + h. What are the prime factors of j?
13
Suppose -i - 5*q + 11 = 36, -3*q = i + 19. Let f(c) = -c**3 - 11*c**2 - 9*c + 5. Let a be f(i). Let p = 7 + a. What are the prime factors of p?
2
Let g(x) = 2*x**2 - x - 1. List the prime factors of g(-2).
3
Let u be (0 - (-2)/(-3))*-6. Suppose 31 + u = m. What are the prime factors of m?
5, 7
Let k(b) = -17*b - 1. Let y be k(-1). Let z = y - 8. List the prime factors of z.
2
Let u(x) = -x**3 + 8*x**2 + 6. Let q be u(8). Let a(m) = m + 2. Let d be a(q). List the prime factors of 2/(-8) + 98/d.
2, 3
Let y be 5 - (-3)/(-6)*-2. Let n be y/4 - (-1)/2. Suppose 0 = -5*q - 0*k + n*k, 4*q + 12 = 4*k. What are the prime factors of q?
2
Suppose -4*j + 2 = -2*j, -3*j = 2*d - 7. Let o = d + 13. What are the prime factors of o?
3, 5
Suppose 0 = -4*f - 4, -f + 3*f + 47 = -5*n. Let o be ((-21)/(-3))/(3/6). Let a = o + n. List the prime factors of a.
5
Let g(c) = -c**2 - 9*c + 11. List the prime factors of g(-8).
19
Let i be ((-8)/10)/(2/(-10)). Suppose i*y + 2*c - 18 = 3*y, -5*c = -3*y - 1. Let h = 16 - y. List the prime factors of h.
2
Let w = -22 - -41. Let m be (-12)/9*3*2. Let n = m + w. List the prime factors of n.
11
Let j = -2 + 5. Suppose -g = -5, -4*g = -j*p - g. What are the prime factors of p?
5
Let s be 1 - 1 - 9/(-3). Suppose -5*r + 2 = -3, -41 = -4*w + s*r. What are the prime factors of w?
11
What are the prime factors of 0 + 414 + (-13 - -16)?
3, 139
Suppose -3*z = -2*z. Suppose -f = 2*n + 3, 3*f + 5*n = -z*f - 8. List the prime factors of 5 - -1*(-2 - f).
2
Suppose -3*p - 43 = -4*q, -p + 0*p = 2*q - 29. List the prime factors of q.
13
Let i(g) = 2*g**3 - 14*g**2 + 14*g - 15. What are the prime factors of i(9)?
3, 5, 29
Suppose -2*n = -7*n + 535. List the prime factors of n.
107
Let v = 144 - 35. What are the prime factors of v?
109
Let m(w) = -w**3 - 5*w**2 - 23. List the prime factors of m(-7).
3, 5
Let s be (-4)/6 - 130/(-6). Suppose 0 = -6*c + c - 50. Let l = s + c. What are the prime factors of l?
11
Suppose -4 + 2 = -f. Let y(i) = i**3 + 13*i - 2*i**3 - 6 - 5*i + 4*i**f. What are the prime factors of y(5)?
3
Suppose 0 = o + o + 26. Let v = o - -20. List the prime factors of v.
7
Let z(m) = m**2 + 3*m - 14. What are the prime factors of z(-10)?
2, 7
Suppose 2*d + 505 = 5*t + 7*d, 2*t + 3*d = 199. List the prime factors of t.
2, 13
Let q = 7 + 20. List the prime factors of q.
3
Let f(a) = -4*a - 3. Let i be f(-2). Let t be (-1632)/(-54) + (-6)/27. Suppose 2*w + 2*x = t, -i*x + 1 - 6 = -3*w. List the prime factors of w.
2, 5
Suppose -2*i = 2*u + 12, -4*u + 21 = -7*u - 4*i. Let o = -1 - u. Let j = 1 + o. What are the prime factors of j?
3
Let r be (0 + (-2 - -2))/2. Suppose -3*y - t + 98 = -5*t, r = 2*t + 10. What are the prime factors of y?
2, 13
Let g be 8/(-6)*(-36)/8. Suppose g*n = 4*n. List the prime factors of 1 + 1*18 - n.
19
Let v(p) = -4*p. Let l be -5*2/(2 + 0). Let x(i) = i**2 + 7*i + 7. Let w be x(l). List the prime factors of v(w).
2, 3
Let k(q) = q + 7. Let z be k(-7). Let j be (-3 - 2*-2)*z. Suppose 5*h - 5*b - 12 - 8 = 0, j = 3*b - 6. What are the prime factors of h?
2, 3
Suppose -2*k = -2*z - 138, -2*z + 63 = -0*k + k. List the prime factors of k.
67
Suppose -7*y + y + 36 = 0. Let u = 21 - y. List the prime factors of u.
3, 5
Suppose 7*p - 4*p = -m + 539, 5*m = 25. List the prime factors of p.
2, 89
Suppose -2*a = 3*y + 3, 11 = -4*a - 3*y + 2*y. What are the prime factors of (3 - -3)/a + 43?
41
Let b = 4 - -7. Let j(y) = y**2 + y - 1. Let l be j(1). Suppose -b = -r - l. What are the prime factors of r?
2, 5
Suppose 2*c + c - 414 = -3*k, -2*k = -5*c + 704. List the prime factors of c.
2, 5, 7
Let h(g) = g + 5. Let p(c) = -c**2 + 6*c. Let y be p(6). Let i be h(y). Suppose -i*r = -16 - 24. What are the prime factors of r?
2
Suppose z + 2 = -2*a, -a + 3*z + 6 + 0 = 0. Let k(n) = -n**3 + n**2 + n + 3. What are the prime factors of k(a)?
3
Let n(g) = 24*g**2 - 3*g - 3. What are the prime factors of n(-1)?
2, 3
Suppose -3*a + 3 + 0 = -f, 4*a - 4*f = 12. Suppose 5*s + 0*s - 20 = a. Suppose -6*b + s*b = -18. List the prime factors of b.
3
Suppose -3*u = 6 - 0. What are the prime factors of -2 + (u - -15) + -2?
3
Let n = -3 - -1. Let k be 145/7 + n/(-7). Suppose -4*g = 3*b - k - 2, -2*g + 10 = 2*b. What are the prime factors of g?
2
Let t be (-3 - 0)*52/(-6). Suppose -4*k = -5*j + t, 11 = 4*j - 2*k - 11. Suppose -2 + j = r. List the prime factors of r.
2
Let i(n) = 2*n**2 - 14*n - 17. List the prime factors of i(12).
103
Suppose 0 = -3*l + l + 312. What are the prime factors of (-1)/((-2)/l*3)?
2, 13
Suppose 4*d = -4*w + 3*w + 331, 5*d + 1261 = 4*w. List the prime factors of w.
11, 29
Suppose -4*m = 3*g + 20, -4*g - 5 = -3*g + 3*m. List the prime factors of (-1)/(-4) - 86/g.
11
List the prime factors of (-4 - -7)/((-8)/(-376)).
3, 47
Suppose k + 36 = -3*k. Let w = -5 - k. Suppose 5*r = w*r + 6. List the prime factors of r.
2, 3
Suppose -2*q + 8 = 0, -5*i = -3*i - 3*q + 30. List the prime factors of (-34)/(-3) - 6/i.
2, 3
Suppose -12 = -2*y + 3*v, 2*y - 8 = v + v. Let x = y - 0. List the prime factors of 1/((-3)/(-18) - x).
2, 3
Let j be (1 - (-2 - -1))*3. Let t(s) = s**2 + s - 6. Let o be t(j). Suppose -c = 3*c - o. What are the prime factors of c?
3
Suppose 3*x = 5*x - 146. What are the prime factors of x?
73
Suppose 5*j = 3*s - 162, -s + 63 = -3*j + 5. What are the prime factors of s?
7
Let y = -17 + 27. Let j = -17 + y. Let i = j + 10. What are the prime factors of i?
3
Let x be (21/(-2))/((-1)/2). Suppose -k - 8 = -3*k. Suppose 4*g - 5*m - x = 0, 5*g + 5*m = k*m + 48. What are the prime factors of g?
3
List the prime factors of 1/8 + (-11)/((-264)/4509).
2, 47
Let t be (-4 - -3)/((-2)/6). Suppose -2*s + 5*l = -9 - 2, -3*l - t = 0. What are the prime factors of s?
3
Let h = -150 + 232. Let i = h - 55. What are the prime factors of i?
3
Let a(c) = c**3 - 8*c**2 + 4. Let f = -10 + 18. Let w be a(f). Let r = 3 + w. List the prime factors of r.
7
Suppose 0 = 2*d - 4 - 2. Suppose -d*x + 24 = x. What are the prime factors of x?
2, 3
Let r(f) = 3*f**3 - f**2 - 2*f - 1. Let b