1. Suppose 0 = p*l + 12 - 51. List the prime factors of l.
13
Suppose 30*b - 23*b - 21 = 0. Suppose -5*y + 4*i = -775, -109 + 419 = 2*y + 4*i. Suppose 5*a - 174 = 3*x, -b*x - y + 47 = -3*a. List the prime factors of a.
3, 11
Suppose 3*c - 2*y - 77 = 0, -4*c - 2*y = -c - 85. Let n = -22 + c. Suppose -3*q = -a + 63, n*q - 299 = -4*a + 21. List the prime factors of a.
3, 5
Let r(u) be the first derivative of -u**4/4 + 14*u**3/3 - 5*u**2 + 25*u - 27. List the prime factors of r(11).
2, 139
Let j be (-230)/(-4)*296/185. Suppose -j*y = -88*y - 888. What are the prime factors of y?
2, 3, 37
Let s be (-19)/(-38) - (-1)/(-2). Let d be (-2 + s)/(5/(75/(-6))). Suppose -94 = -d*x + 3*h + 401, -3*x - h + 283 = 0. What are the prime factors of x?
2, 3
Suppose -16 = -8*r + 6*r. Suppose -q - r*q = -27. Suppose u = -3*l + 9, 0 = -2*u + 3*l - q + 12. What are the prime factors of u?
2, 3
Suppose 983 + 856 = 3*b. Suppose -57*l + 58*l = b. What are the prime factors of l?
613
Suppose 0*c = 3*c - 10*c. Suppose c = 74*o - 97*o + 37191. List the prime factors of o.
3, 7, 11
Let c = 37398 + -7188. What are the prime factors of c?
2, 3, 5, 19, 53
Let z be (-21)/105 + (-1722)/(-10). Let m = 583 + z. List the prime factors of m.
5, 151
Let c(v) = -v**2 - 32*v. Let j = 167 - 192. List the prime factors of c(j).
5, 7
Let j(r) = 115*r**2 - 27*r + 199. List the prime factors of j(5).
2939
Suppose -5 = 6*m - m, 4*z + 5*m = 99. Suppose 0 = -4*n + 4*i + 36, 3*n - 4*i - z = -1. Suppose -n*x - 5 = -12*x. What are the prime factors of x?
5
Suppose -3*y = -8*y - 3*r + 8467, 3402 = 2*y + 5*r. List the prime factors of y.
19, 89
Suppose -4*a - 58663 = -l - 230532, -5*l + 128919 = 3*a. What are the prime factors of a?
2, 41, 131
Suppose 0 = 16*j + 86 + 90. Let r(b) be the first derivative of -14*b**2 - 55*b + 8. List the prime factors of r(j).
11, 23
Suppose 524442 = -766*u + 847*u - 479229. List the prime factors of u.
12391
Let n(k) = -3*k**2 + 65*k + 3. Let a be 5/10*-2 - -10. List the prime factors of n(a).
3, 5, 23
Let c(o) = -224*o - 1. Let w be c(-2). Suppose -2*t + 3*s = w - 1386, 5*t = 3*s + 2343. Suppose 10*u - u - t = 0. What are the prime factors of u?
2, 13
Let m(l) = -10*l**2 - 6*l - 8. Let w be m(-5). Suppose -g + 320 = 3*i, -6 = i - 3. Let y = w + g. List the prime factors of y.
101
Suppose 3*h = -13*h + 16161 + 109839. What are the prime factors of h?
3, 5, 7
Let m = -6362 - -29088. What are the prime factors of m?
2, 11, 1033
Let l(n) = n**3 + 38*n**2 + 74*n + 75. Let r be l(-36). Suppose o - 160 = 8*g - 6*g, -3*o - r*g + 480 = 0. What are the prime factors of o?
2, 5
Let a(w) = 520*w + 6. Let x be a(2). Suppose 5*d - x = 34. What are the prime factors of d?
2, 3
Let p(s) = -98*s + 45*s + 73*s - 161. List the prime factors of p(37).
3, 193
Suppose 0 = -88*o + 346485 + 317915. What are the prime factors of o?
2, 5, 151
Let q(t) = 4 + 46*t - 67 - 44 + 134*t. List the prime factors of q(7).
1153
Let k be (-3*(-34)/6)/(1/(-4)). Let c = k - -221. What are the prime factors of c?
3, 17
List the prime factors of (926828/42 + -15)*(-2 + 5).
7, 13, 727
Suppose -8*a = 5*a + 624. Let b = a - -406. What are the prime factors of b?
2, 179
Let b(z) = -21*z + 43. Let l be b(-17). Suppose -5*o + 1503 = -4*m, -2*o + 2*m - l = -1000. List the prime factors of o.
3, 101
What are the prime factors of 15/(-30)*(10 + -7 - 19779)?
2, 3, 103
Let u(q) be the first derivative of -60*q**2 + 41*q - 172. List the prime factors of u(-5).
641
Let g(m) be the second derivative of -m**5/20 - m**4/12 - m**3/6 + 291*m**2/2 + 20*m - 2. List the prime factors of g(0).
3, 97
Let k(s) = -s**3 + s**2 - 2*s + 2. Let x be k(6). Suppose -41*b + 26*b = 135. List the prime factors of x/(-25) + b/15.
7
Let q = -367 + 236. What are the prime factors of (-17 - -2 - -4)*q/1?
11, 131
Suppose 2*o - 5*p - 246 = 0, -3*o - 4*p = -0*p - 346. Suppose 26 + o = 6*g. What are the prime factors of 0 - g/18 - 248/(-6)?
2, 5
Suppose 4*n - 21653 = 5*u - 97076, 0 = 3*u - 15*n - 45216. What are the prime factors of u?
3, 47, 107
Let p = 632 - 153. Suppose -1691 = -4*z - p. List the prime factors of z.
3, 101
Suppose -5*w + 80 = 65. Suppose 0 = -3*m - 5*s + 1180, w*m + 3*s = 5*m - 755. List the prime factors of m.
5, 7, 11
Suppose -39*q - 116*q + 2524003 = 451808. What are the prime factors of q?
29, 461
Let c(b) = -64*b - 149. Let v = -1 + -6. What are the prime factors of c(v)?
13, 23
Suppose 2*z - 10 = -2*x, 8*z + 7 = 3*x + 3*z. Suppose x*r - 700 = -2*f, -r + 5*f = -73 - 102. List the prime factors of r.
5, 7
Suppose 0 = -8*y - 5*y + 468. Suppose -y = -7*w + 377. What are the prime factors of w?
59
Suppose g - 10283 = 2*k + 4044, 0 = -g + 4*k + 14315. What are the prime factors of g?
13, 1103
Suppose a = -2*a + 5*b - 1717, 2*a + 4*b + 1108 = 0. Let i = a - -904. List the prime factors of i.
2, 5, 17
Let h(a) = 11*a + 14. Let n be h(-1). What are the prime factors of 13436/40 - n*3/(-90)?
2, 3, 7
Let q = -52 + 66. Let c(x) = -x**3 + q - 4*x**2 + 109*x - 124*x - 2*x**2. What are the prime factors of c(-7)?
2, 3, 7
Suppose -524686 = -112*x + 143842. What are the prime factors of x?
47, 127
Let i = -387 - -393. What are the prime factors of (1165 - 12/3) + i?
3, 389
Let x(v) = v**3 + 3*v**2 - 4*v + 3. Let m be x(-5). Let y = m - -47. Suppose -5*c - 5*p + y = 0, -p + 47 = 5*c + 15. What are the prime factors of c?
7
What are the prime factors of -2 + -3 + (-3 - -1) + 2045?
2, 1019
Let q(z) = z**2 + 12*z - 16. Let w be q(-13). Let o be (5 + -4)*-10 - w. Let k = 53 + o. What are the prime factors of k?
2, 23
Let w(s) = s**3 - 2*s**2 + 14*s - 13. Let z be w(7). Suppose 5*y - 602 = -3*b, 5*b - z - 661 = 4*y. What are the prime factors of b?
199
Suppose 3*q - 8*i + 5*i - 171 = 0, 4*q + 4*i - 188 = 0. Suppose x + 217 = 4*n + 6*x, n = -2*x + q. What are the prime factors of n?
2, 29
Let h(y) = -y**2 + 9*y - 5. Let f be h(8). Suppose 3*q - f = 0, 51*v - 1012 = 48*v - 4*q. What are the prime factors of v?
2, 3, 7
Suppose 96 = -28*x + 4*x. What are the prime factors of 524 + 10 - (1*x)/1?
2, 269
Let a(n) = 15*n - 28. Let p be a(15). Suppose 5*c - 413 = p. Suppose 371 = 3*q + c. What are the prime factors of q?
83
Suppose 0 = -5*k + 14*k + 18. Let v be 958*(0 - (k - 0)). Suppose -12*z - 596 = -v. List the prime factors of z.
2, 5, 11
Suppose 1357 - 4706 = -f + u, 5*f + u = 16727. List the prime factors of f.
2, 7, 239
Let r(k) = -85*k - 35. Let q be (-15)/(4 - 3) - -5. Let o be r(q). Suppose 5*g + n = o, 3*g - 2*n - 338 = g. List the prime factors of g.
2, 41
Suppose -2*p = a + 1, -p + 1 = 5*a - 3. Let k be p/(-5) - (-4316)/20. Suppose 14*d = 18*d - k. List the prime factors of d.
2, 3
Let g(w) = w - 2. Let v be g(-3). Let s(p) = p**2 + 7*p + 10. Let d be s(v). Suppose -h = h + 2*x - 76, d = h + 2*x - 38. What are the prime factors of h?
2, 19
Let j = -126 + 155. Suppose -j*r - 3270 = -34*r. List the prime factors of r.
2, 3, 109
Let n(b) = 26*b + 36. Let y be n(-2). List the prime factors of -57*((-2 - -1) + y/24).
5, 19
Let v = -552 + 5582. What are the prime factors of v?
2, 5, 503
Suppose 2*s - 3*s + 2 = -5*v, 10 = 2*v + 5*s. Suppose 5*i = 2*z + 1180, -4*z + 472 = -v*i + 2*i. Suppose 43*x - 47*x + i = 0. What are the prime factors of x?
59
Let g be 12*(4 - 5085/(-27)). Let v = -850 + g. List the prime factors of v.
2, 3
Suppose 2 = 7*l - 47. Suppose l*b = -6*b + 39. Suppose -b*c + 5*m = -c - 254, -250 = -2*c + 4*m. What are the prime factors of c?
3, 13
Suppose 2*x = -0 + 10. Suppose -x*b - 1312 + 322 = 0. Let p = b + 284. What are the prime factors of p?
2, 43
Let w be ((-1)/(-1))/(4/1888). Let l = 29 + w. List the prime factors of l.
3, 167
Let t = -109 - -111. Suppose -2*d + 18 = t*x, -2*x + 5*d = d. Let m(s) = -3*s + 38. What are the prime factors of m(x)?
2, 5
Suppose -24*t + 21*t + 6 = 0. Let p(g) = 198*g**2 + 2*g - 4. List the prime factors of p(t).
2, 3, 11
Suppose 0 = -4*a + r + 267735, 13*r + 104 = 13. List the prime factors of a.
2, 29, 577
Suppose -q + 3 = -2. Let h = 7 - q. Suppose 28 = h*t - 10. What are the prime factors of t?
19
Let o(c) = -c**3 + 83*c**2 + 213*c - 665. What are the prime factors of o(82)?
5, 941
Suppose -3*x + 118674 = 3*k, -31*x + 26*x + 197790 = -2*k. List the prime factors of x.
2, 3, 19, 347
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