1. Let m be c(11). Suppose -7*j + m*j = -1183. List the prime factors of j.
13
Suppose 5*q = -3*i + 550, -5*i + 10*i = 2*q - 220. List the prime factors of q.
2, 5, 11
Suppose -8*s + 333 = s. List the prime factors of (s + 5)/((-6)/(-8)).
2, 7
Let a(w) = w**2 + 4*w - 1. Let p be a(-5). Suppose 5*z - 245 = p*q - 61, -5*q - 140 = -4*z. List the prime factors of (-2)/3 - z/(-6).
2, 3
Let y(m) = m**3 + 8*m**2 + 9*m. Let g be y(-6). Suppose -4*r = 4, -q + g = r + 4. What are the prime factors of q?
3, 5
Suppose 3*y = 4*y + 14. Let b = -16 - y. List the prime factors of 25 + 2 + b/(-2).
2, 7
Suppose 5*w = -2*y + 4035 - 73, 3*y - 795 = -w. List the prime factors of w.
2, 3, 11
Let a(h) = -1 - 4*h - 19 + 2*h**2 + h**2 - h. What are the prime factors of a(-6)?
2, 59
Let n be ((-12)/(-9))/((-1)/(-3)). Suppose -x = -4*v + 1073, -4*v - n*x + 413 = -655. List the prime factors of 4/(-12) + v/12.
2, 11
Let o(c) = c**2 + 6*c + 3. Let x be o(-6). Suppose -x*s - 27 = 27. List the prime factors of (-165)/s + (-3)/18.
3
Let l = 43 - 40. Suppose -c + 3*g - g = -82, 5*c + l*g = 423. List the prime factors of c.
2, 3, 7
Suppose -166 = -t + 4*j + 71, 0 = -2*t + 3*j + 484. What are the prime factors of t?
5, 7
Suppose -2*i = -2*q - 864, -3*i - 2*q + 1294 = -3*q. List the prime factors of i.
431
Let p = 5 + 0. Suppose -p*w - 284 = -1344. Suppose -4*q - w = -8*q. What are the prime factors of q?
53
Suppose -3*v + 5*k = v - 29, -4*k = -4*v + 32. Suppose -1 + 5 = 4*g. What are the prime factors of (11 - v) + (29 - g)?
2, 7
Let z = 134 - 132. What are the prime factors of (-259)/(-7) - 4/z?
5, 7
Let f = 14 - 5. Suppose -5*t + w + f = 0, t + 2*t - 11 = 2*w. What are the prime factors of -1 - (-19 - -1 - t)?
2, 3
List the prime factors of (1422 + -4)/(2 - 1).
2, 709
Let o be (-1649)/(-68) - (-2)/(-8). Suppose 0 = -18*b + o*b - 978. What are the prime factors of b?
163
Let k = 1231 - 68. What are the prime factors of k?
1163
Let w(m) = -m**2 - 28*m - 20. What are the prime factors of w(-6)?
2, 7
Let k(u) = 10*u**2 + 3*u + 10. Let s(b) = 5*b**2 + b + 5. Let i(l) = -2*k(l) + 5*s(l). List the prime factors of i(7).
3
Let d = 5423 - 3169. List the prime factors of d.
2, 7, 23
Let r(k) = -k**2 - 6*k - 7. Let f be r(-3). Suppose 4*m + 110 = 2*l, l + f*l - 171 = 4*m. List the prime factors of l.
61
Let a(d) = 2*d**3 - 20*d**2 + 31*d - 276. List the prime factors of a(10).
2, 17
Let n(y) = 4 - 13*y + 2*y - 14*y - y**2 + 7*y. What are the prime factors of n(-8)?
2, 3, 7
Suppose l + 2*o + 2*o + 53 = 0, 0 = -5*l - 3*o - 248. Let d = l + 99. Let f = d - -1. List the prime factors of f.
3, 17
Let h(c) = -c**3 - 8*c**2 - 4*c + 24. Let o be h(-7). Let r = 11 - 7. Suppose -2*x = 0, -110 = -o*d - 2*d + r*x. What are the prime factors of d?
2, 11
Let c = 0 - -3. Let u be (-40)/(-6)*c/2. Let b(m) = m**3 - 9*m**2 - 9*m + 12. List the prime factors of b(u).
2, 11
Suppose -5*k - 5*s = -100, -3*s + 29 = k + 5. Let j = k - 0. Suppose -4 = -p - 2*l - 1, 4*p + 2*l = j. What are the prime factors of p?
5
List the prime factors of ((-2)/5)/((-18)/40140).
2, 223
Let d(p) = -p**2 - 10*p + 12. Let v(n) = -n**2 - n + 11. Let f be v(0). Suppose c - 2 = -f. What are the prime factors of d(c)?
3, 7
Suppose -9 = 7*t - 4*t. Let o(p) = p**2 - p + 7. List the prime factors of o(t).
19
Suppose -23*y + 26*y - 12 = 0. Suppose 3*w - 598 = -73. Suppose y*c = -c + w. What are the prime factors of c?
5, 7
Suppose 4*z = -3*c + 638, 7*c - 1058 = 2*c - 4*z. List the prime factors of 0 + (-11)/((-11)/c) + 1.
211
Let n(m) = m**3 + 9*m**2 - 10*m + 1. Let h be n(-10). Let l be 2613/(-9) - h/(-3). List the prime factors of (-1)/6 - l/12.
2, 3
Let g be (2 + (-5298)/(-15))/((-1)/(-5)). Suppose -2*k - 6*k + g = 0. List the prime factors of k.
2, 3, 37
Suppose -4*u = 9*u - 61854. What are the prime factors of u?
2, 3, 13, 61
Suppose -4*l + 3*b + 991 = 0, -2*l - 2*l + 5*b = -1001. What are the prime factors of l?
2, 61
What are the prime factors of ((4545/(-10))/3)/(1/(-2))?
3, 101
Suppose -4*w = w - s + 1808, -2*s = 4. Let b = 596 + w. List the prime factors of b.
2, 3, 13
Let x(z) = -z - 1. Let o be x(-3). Suppose -g - o*g = -252. Suppose -5*n = -26 - g. List the prime factors of n.
2, 11
Let r = -32 + 303. Let o = -158 + r. What are the prime factors of o?
113
Suppose i + 22 = -5*p, -3*p - 4 - 8 = i. Let m(u) = -6 + 1 + i*u + 7 + 4. What are the prime factors of m(11)?
3, 13
Let c be (-1)/(18/(-4)) - (-1680)/(-270). List the prime factors of ((-198)/(-7))/(c/7 - -1).
2, 3, 11
Suppose 3*a + 2208 = -0*z + 3*z, -4*z - 3*a + 2930 = 0. List the prime factors of z.
2, 367
Let d = -133 + 224. Let z = d + -37. Suppose 5*g - 136 = z. What are the prime factors of g?
2, 19
Let u be 4/14 - 51832/(-133). Suppose 2*s = -3*s + u. Let d = -47 + s. List the prime factors of d.
31
Let j = -828 - -1382. List the prime factors of j.
2, 277
Suppose 4*g = 6 + 2. Suppose 4*b - 98 = -g*w + 8*b, b = w - 45. List the prime factors of w.
41
Let a = 1015 + -523. What are the prime factors of a?
2, 3, 41
Let g(t) = 8 + 2*t**3 + 0*t**3 - 8. Let n be g(-2). Let r(k) = k**3 + 16*k**2 - 2*k + 3. What are the prime factors of r(n)?
5, 7
Let l be -39*((-64)/12)/(-4). Let a = 0 - l. What are the prime factors of a?
2, 13
Suppose 4*t - 327 = -4*h + h, -5*t = 4*h - 409. Let b = t + -54. Let s = b - -15. List the prime factors of s.
2, 3, 7
Let t be (-3)/((-5)/(-10) - 2). Suppose -24 = -4*i - 4*n + 124, t*n + 150 = 5*i. What are the prime factors of i?
2
Suppose 2*r - 5*p = 11, -2*p = -4*r - 0*p + 14. What are the prime factors of r?
3
Suppose -4*a = -682 - 458. Suppose 0*y - a = -3*y. List the prime factors of y.
5, 19
Suppose 0 = -4*k + 3*f + 902, 5*k = k + 5*f + 906. What are the prime factors of k?
2, 7
Let p(a) = 237*a**2 - 6*a - 5. List the prime factors of p(-1).
2, 7, 17
Let s be -7 + 4 - (0 - 6). Suppose g + s*g - 96 = 0. Suppose 4 = -4*i + 3*h, i - 5*h + g = 3*i. What are the prime factors of i?
2
Suppose -h - 370 = -2*h - 2*m, 0 = 5*h - 5*m - 1835. Let q = -249 + h. What are the prime factors of q?
7, 17
Let x = 657 + -628. Let j(a) = -a + 6. Let s be j(6). Let w = x - s. What are the prime factors of w?
29
Suppose 3105 - 20391 = -4*o - 2*j, -3*o - 3*j + 12972 = 0. List the prime factors of o.
7, 617
Let w = 37 + -20. Let o = w + 0. What are the prime factors of o?
17
Let q = 83 + -85. Let u(s) = 14*s**2 + 4*s + 3. What are the prime factors of u(q)?
3, 17
Let w(j) = -9*j - 13. Let h be w(-3). Suppose 630 = h*z - 11*z. List the prime factors of z.
2, 3, 5, 7
Let y be -1*28*280/32. Let r = 420 + y. What are the prime factors of (8/(-10))/((-10)/r)?
2, 7
Suppose -245 = 137*o - 130*o. List the prime factors of 1/(14/1572) + 10/o.
2, 7
Let h(p) = -p + 6. Let s = 80 - 56. Let n = -28 + s. List the prime factors of h(n).
2, 5
Let d(u) = -u**3 + 4*u**2 - u - 4. Let w be d(3). Suppose w*n + 29 = -2*m + 177, 0 = -m - 4*n + 59. List the prime factors of m.
79
Suppose 3*d - 1 + 94 = 0. Let o = 307 + d. List the prime factors of o.
2, 3, 23
Let a(d) = -1021*d - 1405. List the prime factors of a(-6).
4721
Let w = -10 + 7. Let p be w/(-7 + 3 + 3). Suppose 5*i - q = 31, 5*i - 14 = -p*q + 13. List the prime factors of i.
2, 3
Suppose n = -2*g + 62, -8*g - 110 = -2*n - 5*g. Suppose 0 = 3*v - 5*v + n. What are the prime factors of v?
29
Let o = 135 + -330. What are the prime factors of -5*6/o + 4052/26?
2, 3, 13
What are the prime factors of ((-1371)/(-3))/(5 - (6 - 2))?
457
Let a(y) = -y**3 + 4*y**2 - 3. Let x be a(5). Let h be 2946/21 - (-8)/x. What are the prime factors of 2/(-9) - h/(-63)?
2
Let k(a) = -1 - a - 8 + 18 - 15. List the prime factors of k(-14).
2
Let h be (1 - 0)*(-17 + 82). Let m = h - 29. What are the prime factors of m?
2, 3
Suppose 1553 - 265 = t. What are the prime factors of t?
2, 7, 23
Suppose 7*r - 2*z + 1916 = 12*r, 5*r = 3*z + 1901. What are the prime factors of r?
2, 191
Let c(a) = -28*a**3 + 6*a**3 - 16*a**3 - 15*a + 14*a - 1. Let i be c(-1). Suppose j - 19 = -3*p + i, -5*j + 2*p + 268 = 0. What are the prime factors of j?
2, 3
Let a(x) = x**2 + 5*x - 8. Let p be a(-6). Let f(r) = -24*r + 3. List the prime factors of f(p).
3, 17
Suppose 5*x + 3*n - 73 = 0, -x + 4*n + 7 + 3 = 0. List the prime factors of x.
2, 7
Let w = 890 - -3612. List the