3
Let j(y) = -y**3 - 3*y**2 - 68*y + 4252. List the prime factors of j(0).
2, 1063
Suppose -i + 5*i + z - 232 = 0, -98 = -2*i + 4*z. Let h = 329 - i. List the prime factors of h.
2, 17
Let l(b) = 7*b**3 + 24*b**2 + 67*b + 13. What are the prime factors of l(12)?
16369
Suppose 3*s + 10 = 4*o, 9*o = -3*s + 14*o - 11. List the prime factors of 2/s - 257/((-2)/2).
2
Let g(j) be the second derivative of j**5/20 - 3*j**4/4 + j**3/6 - 27*j**2/2 - 2*j. Suppose 3*p = 8*p - 55. What are the prime factors of g(p)?
2, 113
Suppose 158 = 3*j - o, 5*j + 202 = 9*j + 3*o. Suppose -63*t = -j*t - 1023. List the prime factors of t.
3, 31
Suppose 37 = 8*u + 5. Suppose -18*r - 2604 = -u*r. Let l = -18 - r. What are the prime factors of l?
2, 3, 7
Let g(v) = -5601*v + 188. List the prime factors of g(-2).
2, 5, 17, 67
Let l = 2112 + -3032. What are the prime factors of 3 + (-3 - 5) - (-1 + l)?
2, 229
Let w = 20 + -8. Let f = 31 + w. Suppose -3*c + 4*t + 44 = c, 5*c - f = t. List the prime factors of c.
2
Suppose 2*j + 103638 = 5*x, -1564 = x - j - 22288. What are the prime factors of x?
2, 3, 5, 691
Let q(o) = -2*o**3 - 40*o**2 + 108*o + 52. What are the prime factors of q(-31)?
2, 8923
Suppose 5*q + 8 = -2*m - 150, 0 = 3*q. Let c = m - -467. What are the prime factors of c?
2, 97
Let c(d) = d**3 - 5*d**2 + 7*d - 10. Let i be c(4). Suppose 5*h - 745 + 2396 = 2*k, i*h = 5*k - 4180. List the prime factors of k.
2, 419
Let i(u) = -3*u + 2. Let v(h) be the second derivative of h**3/6 - 15*h. Let k(z) = -2*i(z) - 22*v(z). What are the prime factors of k(-5)?
2, 19
Let x(t) = 505*t - 993. List the prime factors of x(25).
2, 727
Suppose -3*l - 25*m = -23*m + 5, 5*l = 4*m - 23. List the prime factors of -6 - (-958 - ((-3 - -5) + l)).
3, 317
Let x(z) = z**2 - 2*z + 5. Let q be x(0). Let n(w) = -5*w + 25. Let r be n(q). What are the prime factors of r/2 + (-4 - -5)*85?
5, 17
Suppose -399901 = -8*v - 3*a, -36*a = -3*v - 38*a + 149962. List the prime factors of v.
2, 12497
Let i(g) = -11*g**3 + 32*g**2 - 131*g + 29. Let l(k) = 8*k**3 - 21*k**2 + 87*k - 19. Let b(o) = -5*i(o) - 7*l(o). List the prime factors of b(-16).
2, 5
Suppose 2*l = -2*r + 7044, 2*l = 2*r + 616 + 6420. What are the prime factors of l?
2, 5, 11
Suppose 0 = -x + 2, -15*x + 17*x = -3*n + 21181. What are the prime factors of n?
3, 13, 181
Let h(j) = j**3 + 4*j**2 - 5. Let l be h(-3). Suppose 5*q = 0, 0 = -5*n - q - l*q + 1015. List the prime factors of n.
7, 29
Let x(a) = -a**3 - 8*a**2 - 9*a - 11. Let u be x(-8). Let q = 65 - u. Suppose -5*v + 10 = 0, f - 226 = -q*f - 3*v. List the prime factors of f.
2, 11
Suppose 7763 = 72*m - 31776 - 93517. List the prime factors of m.
2, 3, 7, 11
Let m(r) = -26 - 8*r**3 - 147*r - 167*r + 302*r - 7*r**2. What are the prime factors of m(-6)?
2, 761
What are the prime factors of 18/((-940276)/(-78354) - 12) - 8/(-14)?
17, 2963
Let h(t) = -1523*t + 1404. What are the prime factors of h(-4)?
2, 937
Let w be 1 + 3 + 1 - 56/4. List the prime factors of 10 + w + 784 + (-1 - -1).
5, 157
List the prime factors of (41668 - (-16)/4) + (-374)/34.
3, 1543
Let g = 70 + -62. Suppose g*p + 58 = 170. Suppose -593 = -p*y + 485. List the prime factors of y.
7, 11
Suppose -62 = 3*y + 2*s, -2*s + 7*s = -2*y - 23. Let r = -20 - y. Suppose -5*a = -5*g + 430, a - 339 = -r*g + 6*a. What are the prime factors of g?
7, 13
Let t be (-21)/49 + 454/14. Suppose 6*d - 15 = 3*d, -3*v + 2*d = -t. Suppose -15*s + 55 = -v*s. What are the prime factors of s?
5, 11
Let r(f) = 1559*f - 157. List the prime factors of r(18).
5, 5581
Let v(m) = -2*m**3 + 42*m**2 + 18*m + 11. Let h be v(18). Suppose h = 15*a - 2146. Let s = -109 + a. What are the prime factors of s?
2, 3, 31
Let i(n) = -45*n + 25. Let j = 12 + 92. Let l = j + -108. What are the prime factors of i(l)?
5, 41
Suppose 4*m - 19983 = 7*j, j = -2*m - 3*j + 10014. What are the prime factors of m?
3, 1667
Let k be (1/(-5))/(5/25). What are the prime factors of 5 - (-291 + (0/k - -4))?
2, 73
Let h be 397 + 0 - 0/2. Let d = h + 433. List the prime factors of d/14 + (-6)/21.
59
Let m be 4 + 142 + (-2 - (-2 - -1)). Let n = m + -102. Let g = n - 17. What are the prime factors of g?
2, 13
Let f = 221 + -197. What are the prime factors of -419*(f/4)/(-6)?
419
Let b be (7/(-21))/(((-32)/2724)/8). Let c = -34 + b. What are the prime factors of c?
193
Suppose 5*c - 25 = -3*f, 5*f + 4*c - 46 = -0*f. Let q be f/25 + 4/(-10). Suppose -l = -4*y + 11, 3*y + q*l - 17 = -l. List the prime factors of y.
2
Let r(s) = -2*s - 6. Let a be r(-5). Suppose a*w - 219 = 3*o, -4*w = 2*o + 12 - 246. Let u = 155 - w. List the prime factors of u.
2, 7
Let u = 20319 + 774. List the prime factors of u.
3, 79, 89
Suppose -105*a + 259161 = -84*a. List the prime factors of a.
7, 41, 43
Suppose 5*u + 2*l - 218 = 0, -202 = -5*u + 7*l - 5*l. Let m = 940 - u. What are the prime factors of m?
2, 449
Suppose -l + 5238 = 763. What are the prime factors of l?
5, 179
Let l = 54475 - 26631. What are the prime factors of l?
2, 6961
Suppose 16*f = -3*f + 32718. Suppose 18*a - f = 15*a. What are the prime factors of a?
2, 7, 41
Let s(q) = 4*q + 9. Let y(h) = 12*h + 28. Let k(a) = 17*s(a) - 6*y(a). Suppose 4*l = 2*f + 38, -5*f - 4*l = 66 + 15. What are the prime factors of k(f)?
53
Suppose -2*d - h + 30 = -5*h, 2*h = 4*d - 30. Suppose -5*l + 6*l + n - 271 = 0, 0 = 5*n + d. What are the prime factors of l?
2, 17
Let x = 241 - 159. Suppose -x + 860 = 2*p. What are the prime factors of p?
389
Suppose 5*y = -15, 20*y = -4*r + 17*y + 24347. What are the prime factors of r?
6089
Suppose 4*s + 36770 = 3*m, -131*s + 61294 = 5*m - 135*s. List the prime factors of m.
2, 6131
Suppose 40974 = 3*w + 5*l - 2*l, w + 2*l = 13656. List the prime factors of w.
2, 5, 683
Suppose 2*p = 2*o + 180, -o + 2*p = 22 + 73. Let i = 398 + o. List the prime factors of i.
313
Suppose 2623 = 1183*p - 1154*p - 6048. List the prime factors of p.
13, 23
Let w(j) = 39 + 25*j**3 - 233*j**2 + 233*j**2 - 24*j**3. What are the prime factors of w(0)?
3, 13
Let a be (272 + -5 - 0)/((-6)/4). Let c = 240 - a. Suppose -4*q = -2*u + 3*u - 324, 5*q = 2*u + c. What are the prime factors of q?
2, 41
Let c(o) = -o**3 - o**2 - o + 7. Let f = 24 - 21. Let q be c(f). What are the prime factors of (-1617)/(-24) + 12/q?
67
Suppose 11 = 4*r - 1. Suppose 52 = c + c - 2*x, c + x = 16. Suppose r*o + 4*d - 35 = 0, -d = -0*o - o + c. What are the prime factors of o?
17
List the prime factors of 120/(-180) + (-2)/(12/(-70426)).
11, 97
Let z = -2398 - -3974. What are the prime factors of z?
2, 197
Suppose -381524 = -1086*s + 1060*s. List the prime factors of s.
2, 11, 23, 29
Let f(a) = 36*a - 15. Let l be f(-18). What are the prime factors of l/15*(-5)/1?
13, 17
Suppose -5*f + 0*f + 714 = 4*y, 2*f - 884 = -5*y. Let s = -61 - 56. Let d = y + s. List the prime factors of d.
59
Let r(c) = 3*c**3 - 39*c**2 - 61*c - 33. List the prime factors of r(18).
3, 11, 113
Let t be (-10)/300*-12*(1 - -429). Let f = t - -53. What are the prime factors of f?
3, 5
Suppose 0 = -3*v + 59 + 1. Suppose -5612 - 9168 = -v*l. What are the prime factors of l?
739
Let a = 159 + -140. Suppose a*v = 21*v - 452. List the prime factors of v.
2, 113
Let x(d) = 611*d + 199. What are the prime factors of x(4)?
3, 881
Let i = -92 + 95. Suppose -3*p + 3*v - 7*v - 6 = 0, 4*p + 15 = -i*v. What are the prime factors of p/4*484/(-6)?
11
Suppose 0 = -0*z + 23*z - 39*z + 137632. List the prime factors of z.
2, 11, 17, 23
Let k = 5371 - 3112. Suppose -k - 2133 = -12*o. List the prime factors of o.
2, 3, 61
Suppose -2*z + 209 - 59 = 0. Let i = 322 + -122. Let w = i - z. List the prime factors of w.
5
Let m = 15239 + -8471. List the prime factors of m.
2, 3, 47
Suppose -3366 = -255*o + 253*o. Let a = -280 + o. List the prime factors of a.
23, 61
Let c(i) be the second derivative of 5*i**3/6 - 27*i**2/2 - i. Let f be c(6). Suppose 4*w + f*u - 600 = 0, 7*w - 580 = 3*w + 2*u. List the prime factors of w.
3, 7
Suppose 0 = 5*i - 4*l - 75197, 0 = 10*i - 12*i - 5*l + 30092. What are the prime factors of i?
13, 89
Suppose 6*w = 4548 + 18282. Let h = -2426 + w. Suppose 0 = 16*j - 2541 - h. What are the prime factors of j?
5, 7
Suppose 26*t - 105350 = 19*t. What are the prime factors of t/26 + (-108)/(-702)?
3, 193
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