he prime factors of p.
43
Let m(p) = p**3 + 4*p**2 - p - 1. Let y be m(-3). Suppose -2*c + y = -9. What are the prime factors of c?
2, 5
Suppose -z - z + 5*a = -1734, -3494 = -4*z - 3*a. What are the prime factors of z?
2, 109
Suppose 12*g - 12 = 8*g. Suppose 0 = -g*h + 7*h - 100. List the prime factors of h.
5
Suppose -6*j + 1289 = 1097. List the prime factors of j.
2
Suppose -3*f - 5*p = 0, 3*f - 2*p = -5*p - 6. Let y(l) = 5*l**2 - 1 - 5 + l**2 + 2*l + l**3. List the prime factors of y(f).
3
Let w = 111 + 12. Let n = w - 62. What are the prime factors of n?
61
Let x(k) = -k**3 + 24*k**2 + 49*k - 4. List the prime factors of x(24).
2, 293
Let q(i) = -i**2 + 5*i + 21. List the prime factors of q(7).
7
Suppose 0 = 8*s - 896 - 176. List the prime factors of s.
2, 67
Let g(x) = 4*x**2 + x + 8. Let p(c) = 9*c**2 + 2*c + 17. Let h be (-153)/45 + 2/5. Let v(z) = h*p(z) + 7*g(z). What are the prime factors of v(4)?
5
Let n(g) = -2*g - 11. Let s(w) = -w**3 - 7*w**2 + 5*w - 7. Let j be s(-8). Suppose -13*t + 44 = -j*t. What are the prime factors of n(t)?
11
Suppose -2*d + 5*g - 5 = 0, -2*g + 7*g = 4*d - 15. Let v be 40*(8/d)/2. What are the prime factors of (24/v)/(6/64)?
2
Let b(x) = x**2 + 6*x + 5. Let m be b(-6). Suppose -41 = -3*t - 32. Suppose m*p - t*q = 2*q + 145, -p = 4*q - 29. List the prime factors of p.
29
Suppose 0 = 4*r - 5*p - 13, 0 = -0*r - 5*r + 2*p + 29. Suppose -r*z + 11*z = 708. What are the prime factors of z?
3, 59
Let p(a) = a + 7. Let k be p(-4). Suppose 0 = -k*x - t + 4, 8*x - 35 = 3*x + 4*t. Suppose d = x*d - 8. What are the prime factors of d?
2
Suppose 2*u = -2*u + 20. Suppose -u*b + 8*b + 15 = 0. List the prime factors of (-105)/7*2/b.
2, 3
Suppose -150 = 3*q - 684. Let h = q - 74. List the prime factors of h.
2, 13
Suppose 0 = -51*m + 49*m + 128. List the prime factors of m.
2
Suppose 5*k - 5509 = -4*d + 4841, -5*d + 12946 = 2*k. What are the prime factors of d?
2, 5, 7, 37
Let t = 897 - 234. What are the prime factors of t?
3, 13, 17
Suppose -4*j = -j, 2*r + 4*j = 746. What are the prime factors of r?
373
Suppose -c + 107 = k - 35, -3*c - 4*k + 426 = 0. Let v = c + -78. What are the prime factors of v?
2
Let v(b) = -b**3 - 5*b**2 - b - 3. Let p be v(-5). Suppose 4*o + 6 = p*r, -5*r + r - 2*o = -42. List the prime factors of r/(-36) + (-109)/(-4).
3
Let r(y) = -12*y + 53. List the prime factors of r(3).
17
Let y(a) = a**3 - 4*a**2 + a - 7. Let p(t) = -t**3 + 5*t**2 - t + 8. Let r(q) = 6*p(q) + 7*y(q). Let g be r(-2). List the prime factors of (10/g)/(4/(-54)).
3, 5
Suppose -30*c + 4043 = -5227. What are the prime factors of c?
3, 103
Let y be (-3 - -2)*(1 + 0). Let d be (10 + 0)/(y + 0). Let a = d - -23. List the prime factors of a.
13
Let o(q) = -180*q + 151. List the prime factors of o(-6).
1231
Let m be -3*(-12)/(-9) + 23. Let i = -21 + m. What are the prime factors of (i/4)/((-1)/94)?
47
Suppose 5*n = 3*m + 1296 + 177, -3*m + 585 = 2*n. Let q = n + -204. List the prime factors of q.
2, 3, 5
Let w(j) = 5 + 12*j + 17*j - 35*j. Let v be w(5). Let u = -17 - v. List the prime factors of u.
2
Suppose 5*v - 4*g + 2*g - 10112 = 0, 0 = -2*v - 5*g + 4039. What are the prime factors of v?
2, 3, 337
Let v be (52/6 + -4)/(4/18). List the prime factors of (v - (0 - 0))/(1/3).
3, 7
List the prime factors of ((-4 - -4) + -3 - -528) + -6.
3, 173
Let c = -45 + 45. Suppose -f + 6*f + 15 = c, 64 = j - f. What are the prime factors of j?
61
Let j(n) = 4*n**2 - n + 6. Suppose 3*b - 9 = -5*i, 3*b + 0*i - 9 = -4*i. List the prime factors of j(b).
3, 13
Let f(x) = 109*x**2 - 5*x - 22. List the prime factors of f(-3).
2, 487
Let h(z) = -28*z**2 + 5. Let o(g) = 27*g**2 - g - 4. Let q(b) = 2*h(b) + 3*o(b). Let c be -3 + (3 - (1 + 1)/2). What are the prime factors of q(c)?
2, 13
Let k(l) = 25*l - 34. Let u(v) = -38*v + 51. Let c = -21 - -29. Let r(s) = c*k(s) + 5*u(s). What are the prime factors of r(7)?
53
Suppose 4*o = 5*z - 4*z + 2223, -1673 = -3*o - 5*z. What are the prime factors of o?
2, 139
Let w = -2 - -24. Suppose 2*n = 4 + w. What are the prime factors of n?
13
Let q be 124*(-5)/(-50) - (-6)/(-15). List the prime factors of (-1*30)/(q/(-30)).
3, 5
Let a(b) = -22*b**3 + 4*b**2 + 5*b + 3. Let r be a(-2). Suppose -2*m - r = -5*m - 2*u, m - 2*u - 51 = 0. What are the prime factors of m?
59
Let u(z) = 2*z - 10. Let d be u(5). Suppose 15*m - 12*m - 15 = d. Suppose m*x - 2*x - 110 = 5*c, 3*c = -x + 46. What are the prime factors of x?
2, 5
Suppose -5*h + 17 + 43 = 0. Let u = 30 + h. List the prime factors of u.
2, 3, 7
Suppose 8*b - 48 = 2*b. Let v = b - 1. List the prime factors of v.
7
Suppose -5*w = 510 + 950. What are the prime factors of (w/10)/((-54)/135)?
73
Suppose 2*r + 4*y - y - 371 = 0, 4*y - 555 = -3*r. Let v = r + -114. Let d = v - 22. List the prime factors of d.
3, 5
Let l(q) = 11*q**2 - 48*q - 23. What are the prime factors of l(15)?
2, 433
Suppose -32 = -4*b + 4*u, -5*u - 9 = 16. Suppose 5*d - 711 = 2*s - 4*s, b*d - 426 = -s. List the prime factors of d.
3, 47
Suppose 2*b = i - 11, -i = b - 0 + 1. Let q(w) = w + i*w + 6 + 6 + 2. List the prime factors of q(6).
2, 19
Suppose 0 = -2*t - 1 + 7, 4*a - 2*t = 1302. List the prime factors of a.
3, 109
Suppose 0 = 54*p - 6*p - 72672. What are the prime factors of p?
2, 757
Let c(l) = 24*l**2 + 3. Let z be c(-2). Let b = 111 + z. What are the prime factors of b?
2, 3, 5, 7
Let t = 770 + -347. Let y = 603 - t. What are the prime factors of y?
2, 3, 5
Suppose -405 = -k + 5*g - 89, 0 = -3*k - 3*g + 894. What are the prime factors of k?
7, 43
Suppose 27*i - 24*i - 17186 = 5*g, -5717 = -i + 4*g. What are the prime factors of i?
5737
Let t be ((-165)/45)/((-2)/42). Suppose -f - 14 = -d - t, f = 4*d + 60. List the prime factors of f.
2
Let j(r) = 45*r**2 - 10*r + 18. Let g be j(3). Suppose -349 = -5*b - 2*p + g, -3*p = -4*b + 612. List the prime factors of b.
2, 3, 5
Suppose 2*l - 26 = -3*l - 3*c, -3*c = -l - 2. Let a = 34 - l. List the prime factors of a.
2, 3, 5
Let z(l) = -l**2 - 19*l + 3. Let v be z(-16). Let c = -19 - -49. Let p = v - c. List the prime factors of p.
3, 7
Suppose -2 - 25 = -3*t. Let j = t + 79. What are the prime factors of j?
2, 11
Let m(o) = -o**3 + 8*o**2 - 7*o + 1. Let y be m(7). Let q(x) = -x**3 - 3*x**2 + 5*x + 7. Let f be q(-4). Suppose 26 = f*s - y. What are the prime factors of s?
3
Let y be 1/(5/10)*(0 - 6). List the prime factors of 9/y + 267/4.
2, 3, 11
Let x = -98 - -181. Suppose q = -g + x + 28, -3*g = q - 101. List the prime factors of q.
2, 29
Let q = 49 - 44. Suppose 5*v - 4*t = 3*v + 626, 1583 = q*v - t. List the prime factors of v.
317
Let g be (17*1)/(-5 + 6). Suppose 2*q + 4*y = -30, -5*q + 2*q = 5*y + 43. Let b = g + q. What are the prime factors of b?
2, 3
Let p(s) = s**3 - 8*s**2 + 3*s + 6. Let u be p(7). Let y = u + 26. Suppose -3*o = -y - 8. What are the prime factors of o?
2
Let y(t) = 3*t**2 + 3*t - 2. Let r be y(1). Suppose -o - r*k = -53, 0 = -5*o + 3*k + 166 + 30. What are the prime factors of o?
41
Let q(y) = y**3 - 12*y**2 + 14*y + 44. What are the prime factors of q(19)?
2837
Suppose 527 = 12*i - 6505. What are the prime factors of i?
2, 293
Let h(u) = u**2 + 18*u + 11. Let v = 44 + -66. List the prime factors of h(v).
3, 11
Let k(q) = -8 + 2*q - 2*q - 48 + 5*q. What are the prime factors of k(31)?
3, 11
List the prime factors of 3 + (-359)/(-4) - (-8)/32.
3, 31
Let a(d) = 12*d + 746. What are the prime factors of a(-39)?
2, 139
Suppose -5*c + 52 = -4*n + 20, -n - 5*c = 33. Let a = 10 + n. What are the prime factors of (68/6)/((-2)/a)?
17
Suppose -11 = -0*k - 3*k - r, -r = 5*k - 19. Suppose 4*p = 2*p + k*s - 38, -p - s = 16. Let n = p + 71. What are the prime factors of n?
2, 3
Suppose 0 = -28*g + 98*g - 89670. List the prime factors of g.
3, 7, 61
Let j(p) = -p**2 - 32*p - 27. Let f be j(-17). Suppose 0 = 5*o - 3*o - f. List the prime factors of o.
2, 3, 19
List the prime factors of 3/(-12) - 4323/(-12).
2, 3, 5
Suppose -3*a = 3*z - 1872, 3*z + 8 = -2*a + 1875. What are the prime factors of z?
619
Let t(x) = x**2 - x + 8. Let a(f) = 3*f**2 - 4*f + 33. Let p(z) = -2*a(z) + 9*t(z). What are the prime factors of p(4)?
2, 5
Suppose -14*u + 436 = -12*u. List the prime factors of u.
2, 109
Suppose -26642 = -19*x + 8*x. List the prime factor