1
Let x = 70 + -133. Let j = x - -181. What are the prime factors of j?
2, 59
Let m be (34/(-5))/((-1)/5). Let h = 178 - m. Suppose -8*j = -4*j - h. List the prime factors of j.
2, 3
Suppose 1 = -3*d - 5. Let o = -1 - d. What are the prime factors of o - -1 - 18/(-2)?
11
Let l = 2790 - 1972. List the prime factors of l.
2, 409
Let a = 936 - 350. List the prime factors of a.
2, 293
Let r(a) = a**3 - 30*a**2 - 48*a - 2. What are the prime factors of r(32)?
2, 3, 5, 17
Let w = 46 - 64. Let q = w - -8. Let b = q - -23. What are the prime factors of b?
13
Suppose 10*x - 8*x = 222. Let s = -67 + x. List the prime factors of s.
2, 11
Suppose -5*v - o + 2258 = 2*o, 2*v + 4*o - 906 = 0. List the prime factors of v.
11, 41
List the prime factors of (-5253)/(-2) - ((-121)/22 + 3).
11, 239
Suppose -v - 42 = -3*v. Suppose -v*q + 16*q + 25 = 0. Suppose -103 = -4*t + q*n, 0*t - 3*t + 71 = -5*n. What are the prime factors of t?
2
Let y = -2 + -4. Let g be (-18)/(-4) - y/(-4). Suppose -g*f = -4*l + 2, -2*l + 14 = -3*f + 8*f. What are the prime factors of l?
2
Let x(z) = -z**3 + 13*z**2 - z + 19. What are the prime factors of x(10)?
3, 103
Let t(f) = -10 - 28*f + 6*f - 6*f - 15*f. List the prime factors of t(-2).
2, 19
Suppose 18 = 4*j + r, -j - 4*j = 2*r - 21. Suppose 860 = 4*u - j*v, 4*v + 226 = 4*u - 3*u. Suppose 0 = n + 4*n - u. What are the prime factors of n?
2, 3, 7
Let p(j) = 2*j**3 - 3 - j - 3*j**2 - 3*j**3 + 3 + 1. Let u be p(-3). Let k(v) = 4*v + 1. What are the prime factors of k(u)?
17
Let a(h) = h. Let s(j) = j**2 + 5*j + 15. Let r(c) = 3*a(c) + s(c). Suppose -5*y - 47 = 5*f - 7, -y + 34 = -5*f. List the prime factors of r(f).
2
Suppose 0 = u - 1934 - 2390. What are the prime factors of u?
2, 23, 47
Suppose 9980 = 5*k - 5*c, -15*c - 5987 = -3*k - 13*c. List the prime factors of k.
3, 5, 7, 19
Let a(m) = -m - 7. Suppose -s - 2*w - 3 = 3, -6 = -s + 2*w. Let z be a(s). What are the prime factors of 9/(-21) - 164/z?
23
Suppose 2*q = -b + 4*q - 3, q = 5*b - 12. Suppose -b*o + 155 = -70. What are the prime factors of o?
3, 5
Let w(v) = -v**2 + 12*v + 18. Let l be w(15). Let p = 80 + l. Let u = p - 32. List the prime factors of u.
3, 7
Suppose 6 = -6*d - 0. What are the prime factors of 3 + -1 + 100 + d?
101
Let b be (-2)/(-12) + (29/(-6))/(-1). Let j be (-1)/(((-1)/4)/1). Suppose j*h + b*z + 77 = 242, -5*h + 3*z = -197. What are the prime factors of h?
2, 5
Let b(v) = -v + 11. Let x be b(9). Suppose -x*s = 3*s - 15. Suppose 4*t - s*w = 72, 79 = 5*t - 0*t - w. What are the prime factors of t?
3, 5
Suppose -s - 4*s = -35. Suppose -5 = -2*p + s. Suppose p = 4*m - 142. What are the prime factors of m?
37
Suppose 9*b = -21*b + 19860. List the prime factors of b.
2, 331
Let t(k) = -4*k**3 + 2*k**2 + k. Let y be t(-1). Suppose -y*m + 211 - 11 = 0. Let f = 79 - m. What are the prime factors of f?
3, 13
Suppose -313 = 4*p - 5*g, 0 = -3*p + 4*g - 389 + 153. Let y = p + 98. What are the prime factors of y?
2, 13
Let x(f) = -20*f**3 - 3*f**2 - f. Let g be x(-2). Suppose -2*n = 0, 3*z - g = n + n. List the prime factors of z.
2, 5
Suppose 24 = 4*m + 2*s + s, 0 = 4*s - 16. Suppose -2*o - 2*o + 1 = f, -f - m*o - 4 = 0. Let u = -13 - f. List the prime factors of u.
2, 3
Let w = -11 + 13. Suppose g + 4*t + 2 = -11, w*t = g - 11. Suppose -2*v + 5*b + 16 = 0, 0 = -g*v + 4*b - b + 42. What are the prime factors of v?
2, 3
Suppose -639 = -2*n + 479. What are the prime factors of n?
13, 43
Let f(y) be the second derivative of -25*y**3/6 + 4*y**2 + 4*y. Let p(r) = 6*r - 2. Let d(j) = 6*f(j) + 26*p(j). What are the prime factors of d(3)?
2, 7
Let v(c) = 16*c - 8. Let d be v(5). Let m be (-1)/(-4) + (-2970)/d. Let p = m - -87. List the prime factors of p.
2, 23
Let h = -3 - 4. Let z(p) = 3*p + 4. Let f be z(h). List the prime factors of (2 - 1) + -3 - f.
3, 5
Let l = -49 - -667. List the prime factors of l.
2, 3, 103
Let n = -31 + 24. Let q = n - -8. Let w = q + 1. What are the prime factors of w?
2
Let x(v) = 597*v - 148. List the prime factors of x(3).
31, 53
Let z(x) = 50*x**2 + 13*x - 16. What are the prime factors of z(5)?
3, 433
Let w = 31 + -27. Let k(d) = d**3 - d**2 - 4*d - 2. List the prime factors of k(w).
2, 3, 5
Suppose 0 = -6*x - 0*x - 6. List the prime factors of x + 4 - 414/(-9).
7
Let d(z) = 2*z**2 - 17*z - 27. Let q be (1 - 0/(-3))/((-1)/(-14)). What are the prime factors of d(q)?
127
Let g(u) = 73*u - 90. What are the prime factors of g(8)?
2, 13, 19
Suppose -75*z + 66*z + 14175 = 0. What are the prime factors of z?
3, 5, 7
Let q(x) = 5*x**2 - 5*x - 9. Let g be q(6). Suppose 5*p + f = p + 552, -p + g = f. What are the prime factors of p?
137
Suppose -4*r - 3*z = -0*z + 6, -6 = -3*r + 3*z. Suppose 5*l - l - 172 = r. What are the prime factors of l?
43
Suppose c + 4*c = -290. Let a be (-28)/35 - c/10. Suppose -2*b = a*q - 301, 2*q - 77 - 35 = -5*b. List the prime factors of q.
61
Let t(x) = 3*x**3 - 3*x + 16. Suppose c - 9 = 11*i - 13*i, 5*c - 6 = 3*i. List the prime factors of t(i).
2, 11
Suppose -215*p = -223*p + 22008. List the prime factors of p.
3, 7, 131
Let a(q) = q**2 - 11*q + 2. Let l be a(11). Let n(x) = -21*x**2 - 9*x + 4 + 9*x**l + 13*x**2. List the prime factors of n(13).
2, 7
Suppose -3*b - 2*b + 100 = 0. Suppose -5 = 3*x - b. Suppose 0 = -x*m + 75 + 100. List the prime factors of m.
5, 7
Let c(n) = n**2 + 13*n - 25. Let y be c(-15). Suppose 3*u = -y*f + 895 + 17, 4*f = 4*u + 704. List the prime factors of f.
2, 3, 5
List the prime factors of -6 + (8 - -528) - 2/(-1).
2, 7, 19
Suppose 2*p + 1 = -4*v - 15, -4*p - 4*v - 16 = 0. Let h = 0 - -2. Suppose -h*f + x = -72, p = -5*f + x - 0*x + 186. What are the prime factors of f?
2, 19
Suppose -p + 181 = 2*x - 88, p - 137 = -x. List the prime factors of x.
2, 3, 11
List the prime factors of (-3 - 840)/(-3) - (0 + -2).
283
Let m(n) = -n**2 + n - 2. Let l be m(0). What are the prime factors of (12/(-18))/(l/36)?
2, 3
Suppose -10*u + 13*u - 704 = 5*m, 3*u + 5*m = 754. List the prime factors of u.
3
Let c(p) = 2*p**2 - 17*p + 11. Let k be c(8). Suppose 0 = 2*h - k*h + 88. What are the prime factors of h?
2, 11
Let l = 71 + -34. Let q = l - 64. Let p = -19 - q. List the prime factors of p.
2
Suppose -13*x = -1799 - 1867. What are the prime factors of x?
2, 3, 47
What are the prime factors of ((-1176)/(-9))/(28/588)?
2, 7
What are the prime factors of 28/(5873/(-735) + 8)?
2, 3, 5, 7
Let o(u) be the second derivative of -5*u**3/6 - 7*u**2 - 12*u. What are the prime factors of o(-10)?
2, 3
Let l = -28 + 19. Let w(v) = 2*v**2 + 13*v - 1. What are the prime factors of w(l)?
2, 11
Let y(c) = -51*c - 2. Let m be y(-2). Let u = m - -162. List the prime factors of u.
2, 131
Suppose 3*b + 4 = -2*l - 44, 5*l = b + 16. Let a = -7 - b. What are the prime factors of a?
3
List the prime factors of (-16)/(-2)*1082/16.
541
Suppose -130*q + 137*q - 2296 = 0. List the prime factors of q.
2, 41
Let l = 5117 + -2551. List the prime factors of l.
2, 1283
Suppose 5*v - 3710 = -125*b + 122*b, -6220 = -5*b - v. List the prime factors of b.
3, 5, 83
Let c(a) = a**3 + 12*a**2 + 5*a + 5. Let l be c(-8). Let s = 95 - l. Let f = s + 200. What are the prime factors of f?
2, 37
Suppose 0 = -15*b - b + 6896. What are the prime factors of b?
431
Let w = 5 - 3. Suppose -2*y = 4*o - 14, -2*o - 4*y = y + 5. Suppose -z = -w*z - 4, 5*u + o*z = 150. List the prime factors of u.
2, 17
Let p = 47 + -41. What are the prime factors of (-2)/p + 256/3?
5, 17
Let w be ((-18)/12)/((-9)/12). Suppose 7 = 3*h - 5, 4*x - w*h - 552 = 0. List the prime factors of x.
2, 5, 7
Suppose 0 = -j - 2, -4*g + g - 5*j = 10. Suppose -3*z - b - 21 - 56 = g, -5*z = -4*b + 134. What are the prime factors of (1 - 1) + (1 - z)?
3
Let l(k) = 10*k**2 + 10*k + 23. What are the prime factors of l(-9)?
743
Suppose 551 = 3*v - 361. Let z = 102 - v. List the prime factors of z/(-6) + 18/(-27).
3, 11
Let w(q) = q**2 + 5*q - 7. Let c be w(-6). Let m(k) = -10*k - 3. Let g(b) = 19*b + 7. Let v(o) = 2*g(o) + 5*m(o). What are the prime factors of v(c)?
11
Let r = -61 - -28. Let j = 74 + r. Suppose -3*p = -5*x - j, -3*x = 3*p + x - 32. What are the prime factors of p?
2, 3
Let f(h) = -16 - 62*h + 5 + 5 + 4. List the prime factors of f(-1).
2, 3, 5
Let d = 22 + -18. Suppose 3*i = -d*f +