text
stringlengths
1
160
Suppose 618539 + 2263993 = 267*k. List the prime factors of k.
2, 2699
Suppose -38*v - 1822 = 1522. Let a be -2 + (1*133 - 2). Let q = a + v. List the prime factors of q.
41
Let i = -11602 + 19170. Suppose 0 = -10*a - a + i. List the prime factors of a.
2, 43
Suppose 2*x - 58*p = -59*p + 3571, 2*p - 8929 = -5*x. List the prime factors of x.
1787
Let p(h) = h**3 + h**2 + h + 74. Let x be p(0). Suppose 0 = 3*c - 5*g - 215, 5*g = c + g - x. What are the prime factors of c?
2, 5, 7
Let w(x) = 103*x**3 - 15*x**2 - 50*x + 3. What are the prime factors of w(6)?
3, 13, 61
Suppose 0 = 261*o - 155093 - 421515 - 284692. What are the prime factors of o?
2, 3, 5, 11
Let k(o) = -o + 1. Let l(s) = 59*s - 32. Let j(y) = 6*k(y) + l(y). What are the prime factors of j(10)?
2, 3, 7
Let m = -36537 - -80916. List the prime factors of m.
3, 4931
Suppose 0*r + 11 = 3*r - u, -2*u = -r + 7. Suppose r*t = -2*y + 2*t + 2807, -y - 5*t + 1381 = 0. List the prime factors of y.
2, 19, 37
Let y be 8/(-2) - 1256/4. What are the prime factors of ((416/12)/8)/((-2)/y)?
13, 53
Suppose -3*p + 4*a - 4 - 16 = 0, 2*a + 44 = -3*p. Let d(g) = -44*g - 127. List the prime factors of d(p).
401
Let b(h) = 4*h**3 + 8*h**2 + 5*h + 2. Let a be b(-6). Let i = a - -335. Let j = i + 400. List the prime factors of j.
131
Suppose 11*u + 3 - 14 = 0. What are the prime factors of (u - 3)/((-6)/3108)?
2, 7, 37
Let o(l) = 4*l + 90. Let t be o(0). Suppose -34*s = -31*s - t. Suppose 2*i = -s + 204. What are the prime factors of i?
3, 29
Let u = 2997 + -4540. Let d = -435 - u. List the prime factors of d.
2, 277
Suppose 2*l - 5 - 3 = c, 5*c - 3*l + 12 = 0. Suppose -5*y - 59 - 21 = c. Let u = y + 40. List the prime factors of u.
2, 3
Let o be (-4 - 158)/((-9)/((-18)/(-4))). Suppose 0 = -4*j + o + 1755. List the prime factors of j.
3, 17
Let w be 495/105 + 4/14. What are the prime factors of (49/6)/(((-20)/(-24))/w)?
7
Let d(k) = 1721*k**2 + 63*k + 64. What are the prime factors of d(-1)?
2, 3, 7, 41
Let w = 170208 + -116415. List the prime factors of -2 + 51/27 + w/81.
2, 83
Let j = -41041 - -57747. List the prime factors of j.
2, 8353
Let s(b) = b**3 + 9*b**2 - 1. Let w be s(-5). What are the prime factors of 3/6 + (3 - w/(-6))?
2, 5
What are the prime factors of (-12)/(-2 + 17814/8916)?
2, 743
Suppose 0 = -5*u + 4*v + 41 - 9, 0 = 4*u - 2*v - 22. Suppose -u*c - l = -4255, -5*c = -3*c + 3*l - 2125. List the prime factors of c.
2, 7, 19
Suppose 2*n - 5*a - 361 - 120 = 0, 2*n = a + 493. Suppose 164 = 2*d + r, -n = -3*d - 3*r + r. Let u = d - -8. List the prime factors of u.
2, 11
Suppose 6963 = b + 2*y - 2134, y + 8 = 0. What are the prime factors of b?
13, 701
Suppose -16*p + 35435 = -172005. What are the prime factors of p?
5, 2593
Let z = 198 - 201. What are the prime factors of (-10476)/(-21) - ((-12)/(-28))/z?
499
Let s be 13/5 - 24/(-60). Suppose -s*p - 81 - 18 = 0. What are the prime factors of (-2*(2 - -24))/(22/p)?
2, 3, 13
Let h = 4769 + -2999. List the prime factors of h.
2, 3, 5, 59
Let z(t) = 742*t - 4454. Let q be z(6). Let n(v) be the first derivative of -37*v**4/4 - 4*v**3/3 - v**2 + 2*v + 2. List the prime factors of n(q).
2, 11, 13
Suppose -2*p = -2*z - 540 - 62, -3*p = 5*z + 1441. Let o(r) = -22*r**3 - 3*r**2 + r - 1. Let j be o(2). Let b = j - z. What are the prime factors of b?
2, 53
Suppose -896 = -3*p - 2*t, 0 = -23*p + 24*p + t - 300. Let a = 1120 - p. What are the prime factors of a?
2, 103
Let g(r) = -47*r - 1. Let q = 14 - 4. Suppose 0 = 2*x - q, 0 = -0*y - 2*y - 4*x + 18. What are the prime factors of g(y)?
2, 23
Let n(i) = -7*i**3 - 226*i**2 - 2873*i - 20. What are the prime factors of n(-14)?
2, 3, 11, 229
Let x = 37502 - -55151. What are the prime factors of x?
11, 8423
Let u(x) = 7*x - 25. Let n be u(4). Suppose -24 = -3*h - n*h. Suppose 3*t + h*k = -8, -1 = -6*t + 2*t - 3*k. What are the prime factors of t?
2
Let c = 3194 + 3215. List the prime factors of c.
13, 17, 29
Suppose 588 = 47*t - 54*t. Let b = t - -102. List the prime factors of b.
2, 3
Let i(q) = 4*q**2 - 16*q - 64. Let r be i(32). List the prime factors of (-6 - r/(-45)) + 4/(-18).
2, 3
Let t be 20/(-15)*63/(-2). Suppose 5*x - 12 = -t. List the prime factors of 618/30 + x/(-15) + 0.
3, 7
Suppose y = 3*u - 21207 - 9698, -u - 2*y = -10311. List the prime factors of u.
10303
Let d(y) = 300*y**2 - 38*y - 772. What are the prime factors of d(-16)?
2, 7, 17, 23
Let s(d) = 16*d**2 + 3*d - 11. Let f(t) = t + 1. Let m(c) = 4*f(c) + s(c). What are the prime factors of m(8)?
29, 37
Let h(f) = -11 + 52 + 5 - f**2 - 32*f + 34. Let d be ((-24)/10)/6 - (-138)/(-5). What are the prime factors of h(d)?
2, 3
Let v(b) = b**3 - 3*b**2 + b - 9. Let i be (7 + -2)/(7 - 6) - 1. Let f be v(i). Suppose -1127 = -f*p + 193. What are the prime factors of p?
2, 3, 5
Suppose u - 663 = 4*d, -d - d - 3243 = -5*u. Let n = u - 71. Let w = n - 310. What are the prime factors of w?
2, 7, 19
Suppose -6*g = -0 - 0. Suppose g = -2*r - o - 44, r - 2*o + 6 = -16. List the prime factors of (r/12)/((-4)/8)*12.
2, 11
Let h(t) = -23*t - 62. Let n be h(-3). Let q(x) = -30 + 16*x + 6 + 4*x. List the prime factors of q(n).
2, 29