3
Let h(f) = 860*f + 231. List the prime factors of h(4).
3671
Let q(t) = t**2 - 7*t + 4. Suppose 3*x = 4*z + 4*x - 24, 0 = -3*x. Suppose d - 5*n - 52 = -19, z = 2*d + 2*n. List the prime factors of q(d).
2, 3
Let b = -98 + 214. Let h = -290 - -294. Suppose -l + 28 = u, -4*u = h*l - u - b. What are the prime factors of l?
2
Let d(a) = a**2 + a - 8. Let j be d(-7). Let t = 3 - -1. Suppose t*k - 3*k - j = 0. List the prime factors of k.
2, 17
Let s = -63 - -67. What are the prime factors of 4 - (-85 - 4/s)?
2, 3, 5
Let j(i) = -5*i**2 - 7*i - 6. Let m(f) = -4*f**2 - 8*f - 7. Let g(h) = -3*j(h) + 4*m(h). Suppose -7 = 3*o + 14. What are the prime factors of g(o)?
2, 3
Let k = -3 + 3. Suppose -4*q + k = -36. Suppose -23 = -j - q. What are the prime factors of j?
2, 7
What are the prime factors of (29148/(-98))/(8/(-56))?
2, 3, 347
Let c = 982 - -723. List the prime factors of c.
5, 11, 31
Suppose h + 15 = 4*h. Let i = 53 - 29. Suppose 3*l = 4*d + 74, -i = h*l + 3*d - 128. What are the prime factors of l?
2, 11
Suppose -5*d = -20*y + 15*y - 7840, -d - y = -1562. List the prime factors of d.
5, 313
Suppose 3*o = -2*o + 275. Suppose 4*b - 8 = -2*l, -3*l - 18 + 6 = -2*b. Suppose 2*m + b = o. List the prime factors of m.
2, 13
List the prime factors of (2904/16)/((-1)/(-4)).
2, 3, 11
List the prime factors of (135/18)/((-921)/462 + 2).
3, 5, 7, 11
Let f be 4/(6 + -1 + -1)*-412. Let i = f + 618. What are the prime factors of i?
2, 103
Let i(r) = r**2 - 6*r - 11. Let c be i(8). Suppose q - c*q = -96. List the prime factors of 33*(q/(-9))/(-4).
2, 11
Let k be 2 + (-6)/2 - -10. Suppose 0 = 19*m - 18*m - k. Suppose 4*g + 100 = m*g. What are the prime factors of g?
2, 5
Let d(a) = -692*a + 212. List the prime factors of d(-8).
2, 3, 479
Suppose j + 5 + 3 = -2*o, 2*j + 1 = o. Suppose 12 = d - 5. List the prime factors of d + (0 - o)/(-3).
2
Let w = 35 - 56. What are the prime factors of 1 + 27/w + 3960/42?
2, 47
Let q(u) = -25*u**3 - u**2 - u - 1. Let w be q(-1). Suppose -4*l = 4*n + w, l + 3*n - 7*n = 14. List the prime factors of (1 - -3)/(l/(-7)).
2, 7
Let s = -84 - -73. Let t(o) = o**2 - 5*o - 3. What are the prime factors of t(s)?
173
Suppose 0 = -5*d + 971 - 161. Suppose -4*p + 241 = -p - 4*m, 2*p - d = 3*m. List the prime factors of p.
3, 5
Let l(j) be the second derivative of 2*j**3/3 + 47*j**2 + 12*j. What are the prime factors of l(0)?
2, 47
Let w(o) = -24*o - 15. Let f be w(-8). Suppose -75 - f = -2*u. List the prime factors of u.
2, 3, 7
Let f = -53 - -35. List the prime factors of f/(108/57 + 1*-2).
3, 19
What are the prime factors of 4424/10 + 36/(-90) - 0?
2, 13, 17
Let v be (-8)/44 + (-39)/(-33). Let u be 2/(2/3)*v. Suppose 0 = 2*h + u*x - 3, -4*h - 3*x + 21 = -0*h. List the prime factors of h.
3
Let w = -1248 - -1901. What are the prime factors of w?
653
List the prime factors of (-3)/(2 - 2301/1146).
2, 191
Let v be 1 + (12/3 - 0). Suppose 2 = 2*i, 5*i = -v*m + i + 19. What are the prime factors of m?
3
Let p = -1 + 5. Suppose p*c = -3*f - 50, 3*c - 2*f = -0*f - 29. Let m = 14 + c. What are the prime factors of m?
3
List the prime factors of (41/3)/(-3*(-10)/6840).
2, 19, 41
Let f = 50 - 33. Let y = f - -57. List the prime factors of y.
2, 37
Let z be (273/(-26))/((-3)/4). What are the prime factors of (-40)/(-1) - 0/z?
2, 5
What are the prime factors of -4 + (0 - 742/(-2))?
367
Let p(v) = 123*v**3 + 3*v**2 - 5*v + 3. List the prime factors of p(1).
2, 31
Suppose 79*b - 392256 = -17*b. List the prime factors of b.
2, 3, 227
Suppose -w = 6*n - 4*n - 500, 0 = 5*n - 3*w - 1261. List the prime factors of n.
251
Let u(k) = 4*k**3 - 25*k**2 + 3*k - 17. List the prime factors of u(11).
5, 463
Let a(l) = 4*l - 2. Let t(h) = 5*h - 3. Let y(n) = -4*a(n) + 3*t(n). Suppose 2*x = -3*o - 34, -36 = 2*x + 3*o + o. What are the prime factors of y(x)?
13
Suppose 0 = -3*u + 3 + 6. Suppose 0 = u*d - 3 - 3. Suppose -d*m - 5 = -9. What are the prime factors of m?
2
Let z = 367 + -704. Let w = -163 - z. List the prime factors of w.
2, 3, 29
Let r be (2 - (3 + -1))*-1. Suppose r = 4*x - 12. Suppose -153 = -4*o - o - 4*a, -x*o + a + 85 = 0. What are the prime factors of o?
29
Let q(h) = -h**3 + 14*h**2 - 13*h. Let g be q(13). Let t(f) = -3 + 21 + f**2 + 0*f + 2*f. List the prime factors of t(g).
2, 3
Let m(u) = -u**3 - 18*u**2 - 2*u + 8. Suppose k = 4*b - 38, -5 - 15 = -4*b. What are the prime factors of m(k)?
2, 11
Suppose -6*l + 8*l = 100. List the prime factors of l.
2, 5
Let r(b) = -b**3 + 6*b**2 + 11*b + 17. What are the prime factors of r(-9)?
11, 103
Suppose -4*k = 2*q - 8, 10 = 2*k + 3*k + 2*q. Suppose -150 = -k*v + 2. List the prime factors of v.
2, 19
Suppose 2*l = 10*l. Suppose -m - 3*i = -4*i + 1, -2*m - i + 4 = l. What are the prime factors of (-111)/(-6) + m/(-2)?
2, 3
Let y be ((-12)/(-10))/((-6)/(-20)). Suppose -i - 5 = 4*i + y*k, 0 = -i + 4*k + 23. What are the prime factors of 2/i + 456/18?
2, 13
Suppose 800 = -10*y + 6150. List the prime factors of y.
5, 107
Let b(t) = -t**2 - 12*t - 9. Let i be b(-11). Suppose i*p - 38 = n, 0 = 2*p + 2*n - 7*n - 22. Let x = p - -13. List the prime factors of x.
2, 17
Let l(c) = -12*c - 23. Suppose -5*a + 2*f = 24, 30 = -3*a + 2*f - 6*f. List the prime factors of l(a).
7
Let o(g) = 2*g + 11. Let b be o(-8). Let a be 0 - (0 + 1) - b. Suppose -3*p = 4*d - 111, -a*p - 36 = -3*d + 41. List the prime factors of d.
3
List the prime factors of (4 - 42/5)/(1/(-120)).
2, 3, 11
Let o(z) = -z**2 - 23*z - 48. Let g(d) = d**3 + 18*d**2 + 18*d - 3. Let q be g(-17). What are the prime factors of o(q)?
2, 3
What are the prime factors of (-41 - (-14 - -7))/((-1)/28)?
2, 7, 17
Suppose -5*k - 60 = -5*d, 0*d - 5*k = -2*d + 39. Let t = d - 2. Suppose -t*b - i + 99 = -3*i, 5*b - 90 = 5*i. List the prime factors of b.
3, 7
Let r = -17 + 20. Suppose -2 = 5*z + r. List the prime factors of ((-56)/12)/(z/3).
2, 7
Let o(t) = 24*t**2 + 5*t + 5. Let s be o(-2). Suppose -s - 59 = -3*r. List the prime factors of r.
2, 5
Let p(n) = -n**3 - 5*n**2 + 16*n - 8. Let t be p(-7). Let y = t + 177. What are the prime factors of y?
5, 31
Let x be 5*(4/(-2))/(-2). Let d = -94 - -193. Suppose 0 = 2*r + 3*u - d, -55 - x = -r - 5*u. List the prime factors of r.
3, 5
Suppose -5*i - 2*t = -1050, 2*t + t + 651 = 3*i. List the prime factors of i.
2, 53
Suppose -l = l - 10. Suppose 584 = 4*v + l*g, -5*g - 596 = -4*v - 7*g. What are the prime factors of v?
151
Suppose 148 = -7*c + 11*c. Suppose -4 = 3*f + 59. Let j = f + c. List the prime factors of j.
2
Let g = 20 + 586. What are the prime factors of g?
2, 3, 101
Suppose 2*l = -8, 2*z = -4*l + 4 - 12. Suppose 5*h - 5 = z*h. Suppose n - 24 = h. List the prime factors of n.
29
Suppose -4*q - 7 = -2*u + 9, -3*u = -q - 34. Suppose -106 = u*k - 13*k. What are the prime factors of k?
2, 53
Let t = -690 - -770. List the prime factors of t.
2, 5
Let o(d) be the third derivative of -d**6/15 + d**5/12 + d**4/4 + d**3/3 - 23*d**2. What are the prime factors of o(-2)?
2, 37
Suppose 5*c + 3150 = 13*v - 9*v, -1562 = -2*v - 4*c. What are the prime factors of v?
5, 157
Let t(h) = -h + 2. Let f be t(-7). Let k = f + -9. Let d(q) = -q**2 + 3. What are the prime factors of d(k)?
3
Suppose b = 2, 54*i = 55*i - 5*b - 3102. What are the prime factors of i?
2, 389
Let y(q) = -17*q - 1. Suppose 0 = 15*p - 10*p + 15. List the prime factors of y(p).
2, 5
Let q(k) = -27*k - 2. Let j(b) = b**2 - 10*b - 9. Let n be j(11). Suppose 3 = -p + n. What are the prime factors of q(p)?
5
Let q = 732 + -348. What are the prime factors of q?
2, 3
Let t(o) = -o + 56. Let q be (-8)/(-12) - 6/9. Let a be t(q). What are the prime factors of 16/(-24) - a/(-3)?
2, 3
Suppose -15*g = -17*g + 6. Suppose -w - z = -88 - 47, z = -g*w + 413. What are the prime factors of w?
139
Suppose 12*s + 4*s = 5*s. Suppose 1272 = -s*g + 6*g. List the prime factors of g.
2, 53
Let u be (-2)/(-4) + (-21)/(-2). Let p(f) = 128*f**2 - 3 - 8 - 117*f**2 - f**3 + 4*f. What are the prime factors of p(u)?
3, 11
Let w(k) = -k - 4. Let d be w(11). Let s = 20 + d. Suppose -25 = -5*y, -100 = -s*p + y - 3*y. What are the prime factors of p?
2, 3
Let p = -1077 - -1265. List the prime factors of p.
2, 47
Let q = -44 - -44. Suppose q*c + 5*c = 435. What are the prime factors of c?
3, 29
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