text
stringlengths
1
160
Let t be (7 - 8)/((5/29)/(-5)). Let b(p) = p**2 - 25*p + 145. List the prime factors of b(t).
3, 29
Let u = 159 + -157. Suppose 3*r - 1648 = 2*s - 6*s, 4*r = -u*s + 814. What are the prime factors of s?
5, 83
Suppose r = 2*o + 18, -3*r = o + 4*o + 1. Let s be ((-13)/13)/(-2 - (-14)/r). Suppose -s*l + 3*l = -88. What are the prime factors of l?
2, 11
Let c(g) = 4*g + 21. Let w be c(-6). What are the prime factors of w/1*1400/(-24)?
5, 7
Suppose -33700 = -3074*w + 3070*w. What are the prime factors of w?
5, 337
Suppose 19*t - 40 = 29*t. List the prime factors of t/6 - (-3399)/9.
13, 29
Suppose 0 = -n - 0*m + 3*m + 26, -n + m = -18. Let z = -11 + n. Suppose -87 = -5*o - 2*t - 12, -2*o + 49 = -z*t. What are the prime factors of o?
17
Let u(y) be the first derivative of -43*y**2/2 - 55*y + 82. What are the prime factors of u(-11)?
2, 11, 19
Let q(j) be the second derivative of 0 + 7/6*j**4 + 3*j**2 - 7*j + j**3. List the prime factors of q(-4).
2, 103
Suppose -18*q + 9*q + 27 = 0. Suppose 0 = 4*j - 2*g - 500, -2*j - q*g - g = -250. What are the prime factors of j?
5
Suppose 18*c - 16*c = 2, 2*c = -4*m + 104402. What are the prime factors of m?
2, 3, 5, 29
What are the prime factors of -4 - 1 - (-8 - -10) - -76827?
2, 5, 23, 167
Let m(f) = f**3 + 10*f**2 - 9*f + 16. Let o be m(-11). Let g(y) = -60*y - 62. What are the prime factors of g(o)?
2, 149
Let v(g) = -g**3 + 17*g**2 - 18*g - 5. Let s be v(13). Let f = s - 306. What are the prime factors of f?
131
Suppose 3*n = -4*a + 4 + 18, 0 = n + a - 6. Suppose 0 = n*f + u - 1224, -3*u = 18*f - 13*f - 3062. List the prime factors of f.
2, 5, 61
Let m be (23 - 1)/(-5 + 22/4). Suppose 5*p = 4*q - 79, 2*q = -3*p + q - m. Let h(f) = -7*f - 3. List the prime factors of h(p).
2, 3, 17
Suppose -6 = -p, -z - 23*p + 26*p + 40021 = 0. List the prime factors of z.
40039
Let n(c) = -1313*c**2 - 56*c + 57. Let a be n(1). Let l = a + 2359. List the prime factors of l.
3, 349
Suppose s = b, -9*s = -4*s + 2*b - 21. Suppose j + 4*m = s*j - 2446, j - 3*m = 1221. List the prime factors of j.
3, 409
Suppose -7*n - 8125 = -33304. List the prime factors of n.
3, 11, 109
Let z(y) = 84*y + 29. Let j(h) = -17*h - 6. Let p(f) = 11*j(f) + 2*z(f). Suppose 0*q = -2*q - 2. What are the prime factors of p(q)?
11
Suppose 2*c = -0*c - 220. Let r = 212 + c. Suppose 5*a = -4*z + 352 + 111, r = z + 4*a. What are the prime factors of z?
2, 61
Let l(k) = -231*k - 376. What are the prime factors of l(-4)?
2, 137
Let l(p) = 45*p**2 - 24*p + 78. Suppose -2*m + 3 = 7*f - 8*f, -f + 3*m = 6. List the prime factors of l(f).
3, 137
Suppose -84936 = -4*w + 2*v - 32576, -2*w - 2*v = -26198. List the prime factors of w.
13093
Let a(l) = -7697*l - 840. List the prime factors of a(-3).
3, 7417
Let k be (-5 - -6 - 2)/(1/(-6)). Let w(f) = 2*f**2 + 17*f - 18. List the prime factors of w(k).
2, 3, 13
List the prime factors of (-6)/(-4)*(30108/9 - (-8)/(-2)).
2, 7, 179
Let o be -1 + -51 + -3 + 8 + -4. Let d = -46 - o. Suppose d*v + 20 = 0, v - 200 = -3*i - 0*v. What are the prime factors of i?
2, 17
Let k = -4078 + 11259. List the prime factors of k.
43, 167
Let y = 107 + -105. Suppose 2*k - 732 = -2*w, 0*k + 3*k = y*w + 1098. What are the prime factors of k?
2, 3, 61
Let k(x) = -x**3 + 7*x + 10. Let s be k(-2). Let r be ((-30)/(-4))/((-3)/(-212)). Suppose s*i = 8, 2*a + r = 6*a - 5*i. List the prime factors of a.
3, 5
List the prime factors of ((-1298)/(-177))/((-106160)/53085 + 2).
11, 3539
Suppose 0 = q - t - 18, 2*q - 27 = -2*q - 5*t. Suppose -9*o = -q*o. Suppose 5 = k, -2*k + 85 = 5*m - o*m. List the prime factors of m.
3, 5
Suppose -n - n - 6*n = 0. Suppose n = 28*u - 25*u - 5*c - 654, 3*u - 3*c - 660 = 0. List the prime factors of u.
223
Let u = -193 - -349. What are the prime factors of 1532/6 + 4/(u/(-13))?
3, 5, 17
Let k(l) = -5924*l - 400. What are the prime factors of k(-4)?
2, 7, 13
List the prime factors of (898/(-2))/((8 - 6)/((-1308)/6)).
109, 449
Suppose 3*w = -4*m + 4*w + 239, 0 = 4*m - 3*w - 237. Let f = 759 - m. What are the prime factors of f?
3, 233
Suppose -437*y = -436*y - 5. Suppose 3*q = -2*a + 3191, 3*a + y*q - 3201 = a. What are the prime factors of a?
2, 397
Let a = 40571 - 6284. List the prime factors of a.
3, 11, 1039
Suppose 154*f - 153*f = 669. Let s = 1014 - f. List the prime factors of s.
3, 5, 23
Suppose 32*z - 27021 - 5860 = 477711. List the prime factors of z.
2, 3989
Suppose 46*v = 106*v - 43*v - 1904. What are the prime factors of v?
2, 7
Suppose -18 = 2*m - 18. Suppose n - 16 + 12 = m. Suppose 38 = n*w - 5*d, d + 30 = -2*w + 6*w. What are the prime factors of w?
7
Suppose 2*u = 4, -4*i + 3971 = i + 3*u. Let a = i + -384. What are the prime factors of a?
409
Let h(r) = r**3 + 10*r**2 + r - 6. Suppose 3*k = 3*y - 9, -2*y - 2*y - 30 = 3*k. Let x be (k/(-5))/(14/(-105)). What are the prime factors of h(x)?
2, 3, 11
Suppose 2*h - 3*v = v - 34, 3*v - 3 = 0. Let o(x) = -x**2 + 121*x + 35 + 2*x**2 - 105*x. List the prime factors of o(h).
2, 5
Suppose -258 = -4*m + 142. Let c = -103 + m. What are the prime factors of -6*(-3)/c*154/(-4)?
3, 7, 11
Suppose 0 = 11*t - 9 - 13. Suppose -7*l + 5940 = t*l. Suppose -270 = -6*f + l. List the prime factors of f.
5, 31