
7
Let k(m) = m**3 + 2*m**2 - 2*m + 193. Let z be ((-4)/(-3))/(24/36) - 2. List the prime factors of k(z).
193
Let k = 2429 - 1260. Let v = k + -328. List the prime factors of v.
29
Suppose -781405 = -75*o - 10*o. What are the prime factors of o?
29, 317
Let q(f) = -1086*f + 793. List the prime factors of q(-4).
11, 467
Let o(f) = -317*f - 1411. List the prime factors of o(-20).
3, 31, 53
Let i(y) = -4790*y**3 + 2*y**2 - 3*y - 5. List the prime factors of i(-1).
2, 5, 479
Let h = -112 + 238. Let k = 198 - h. Let y = 34 + k. What are the prime factors of y?
2, 53
Suppose 5*i - 12030 = -3*j, 19928 = 5*j - i - 122. Let x = j + -2811. What are the prime factors of x?
11, 109
Suppose 4*h - 200 = 2*h. Let l be (-2 + 4/(-10))/(5/h). Let a = l + 147. List the prime factors of a.
3, 11
Let w be (-12)/(-9)*(-33)/(-22). List the prime factors of 453/w*(-15)/(90/(-8)).
2, 151
Let b(z) = -7*z**2 - 740*z - 129. What are the prime factors of b(-72)?
3, 7, 11, 73
Let p = 3 - 0. Suppose r + 3*z - 5 = 0, 2*r - 53*z - 10 = -57*z. Suppose 3*u = -u + p*g + 632, -5*g - 795 = -r*u. What are the prime factors of u?
5, 31
Let h be 122309*(-2)/18 - 17/153. What are the prime factors of (h/(-30))/((-6)/(-8))?
2, 151
Let t(d) = -293*d**3 + d**2 - d + 1. Let o be t(1). Let n = 304 + o. List the prime factors of n.
2, 3
Let p(u) = 4022*u + 69. Let a be p(1). Suppose -a = -3*k - 461. What are the prime factors of k?
2, 5, 11
Let l(p) = 6*p - 32. Let k be l(5). Let m be 50*(1/k + 1). Suppose 0 = -5*h - m + 885. What are the prime factors of h?
2, 43
Let b = 19172 + -9768. What are the prime factors of b?
2, 2351
Let y = -174 + 180. What are the prime factors of (y - 5 - -347) + 6?
2, 3, 59
Suppose -2*g + 61*g - 1152291 = -52*g. What are the prime factors of g?
7, 1483
Let h = -5824 + 6801. List the prime factors of h.
977
Let a = 14776 + -4092. What are the prime factors of a?
2, 2671
Let s(a) = 222*a - 1217. List the prime factors of s(96).
5, 4019
Let c(t) be the first derivative of -3*t**4/4 - 7*t**3/3 + 21*t**2/2 - 13*t - 228. List the prime factors of c(-9).
2, 709
Suppose 4532862 + 7318917 = 129*c + 210*c. List the prime factors of c.
34961
Let x(h) = h**2 + 6*h - 10. Let t be x(-8). Suppose 2229 = t*n - 1131. List the prime factors of n.
2, 5, 7
Let x(o) = -15*o - 33. Let k(i) = 16*i + 34. Let l(z) = 2*k(z) + 3*x(z). Suppose 147 = -29*u - 85. What are the prime factors of l(u)?
73
Let p be ((-10)/(-30))/(2/90*3). What are the prime factors of p + -6 - (-1 - 173)?
173
Let f = 12637 - -5693. What are the prime factors of f?
2, 3, 5, 13, 47
Suppose -2*p + 35*k + 6001 = 28*k, -3*p + 8993 = -2*k. What are the prime factors of p?
3, 37
Suppose -77*a = 28*a + 1043299 - 4762189. What are the prime factors of a?
2, 3, 5903
Let w(c) = -19*c - 122. Let m be w(-8). Suppose -m*z - 546 = -44*z. What are the prime factors of z?
3, 13
Suppose -5*y + 23 + 32 = 0. Suppose y*m = -3142 + 12052. What are the prime factors of m?
2, 3, 5
Let u(x) = -14*x - 48 + 21*x + 81. What are the prime factors of u(16)?
5, 29
Suppose -2*p + 5*b = -4, -p = p - 2*b - 10. Suppose -r = -3*x - 729, 10*r = p*r + 5*x + 2203. What are the prime factors of r?
3, 13, 19
Let f = 14447 - 6514. What are the prime factors of f?
7933
Let z be ((-2284)/(-12) - 6)/(2/6). Suppose -z*l = -546*l - 8379. What are the prime factors of l?
3, 7, 19
Let x = 2145 - -11899. What are the prime factors of x?
2, 3511
Let i = 561 + -260. Suppose 5*u = -354 - i. Let l = -42 - u. What are the prime factors of l?
89
Let u = 612 - 608. List the prime factors of 5/5*6 - u - -1167.
7, 167
List the prime factors of ((-815)/(-20)*-170)/(8/(-16)).
5, 17, 163
Let i = 38987 + 7423. What are the prime factors of i?
2, 3, 5, 7, 13, 17
Let y(r) = r - 1. Let j(t) = 5*t - 39. Let n(q) = -j(q) + 4*y(q). Suppose 0 = -11*z + 14*z - 3*m + 15, 2*z - 3*m + 15 = 0. What are the prime factors of n(z)?
5, 7
Let a(y) = -y**3 + 13*y**2 - 25*y - 41. Let v be a(10). Suppose -v*u = 16*u - 5250. What are the prime factors of u?
2, 3, 5, 7
Let y(f) = 5*f - 50. Let v be y(10). Suppose v = -45*p + 40*p + 1960. List the prime factors of p.
2, 7
Let b(o) = -2*o - 25. Let c be b(-11). Let f be (37 + -31)*(-2)/c. Suppose -4*g = -8*g - 4*d + 1056, -806 = -3*g + f*d. What are the prime factors of g?
2, 7, 19
What are the prime factors of ((-93295)/141)/((5/9)/(-5))?
3, 5, 397
Let s be 51/6 - 9/(-6). Let p be (-4)/s - 133/(-95). List the prime factors of 58 - (p + 5 + -3).
5, 11
Let b(v) = 32*v - 222. Let w be b(7). Let q(h) = 327*h + 72. What are the prime factors of q(w)?
2, 3, 11
Suppose 2*h - h = -5*b - 2, 3*h - 14 = 5*b. Suppose 0 = -5*z, 4*g - 2*z - 163 = h*g. Suppose 4*i + i = -2*u + g, -2*i - 77 = -u. List the prime factors of u.
79
Let o be (-5 + (1 - -3))*(-15)/(-1). Let p be (-4 + 10/o)*3/(-2). Suppose -p*w + 54 = -37. List the prime factors of w.
13
Suppose -3*s = 6 - 15. Suppose -14 = 2*l - 0*l - 2*i, s*l + i = -5. List the prime factors of 1*2 - (-5 - l).
2
Let n(t) = 2733*t**2 - 114*t - 234. List the prime factors of n(-2).
2, 3, 607
Let x(y) be the third derivative of y**6/120 - y**5/15 + y**4/24 + 5*y**3/6 - 2*y**2. Let i be (-17 - -8) + 9 - -5. What are the prime factors of x(i)?
5, 7
Let m = -15912 - -22001. What are the prime factors of m?
6089
Let p = 16681 + 36904. List the prime factors of p.
5, 7, 1531
Suppose -s = 3*k + 2, 10 = 4*s + k - 4. Let f(r) = 86*r**2 + 8*r + 5. What are the prime factors of f(s)?
3, 157
Let s = 1842 - -2743. What are the prime factors of s?
5, 7, 131
Let m be -3 - -5*1/(-2)*-2. Suppose -m = p - o + 12, 6 = -p - 3*o. Let d(h) = -3*h + 20. What are the prime factors of d(p)?
2, 7
Suppose -135 = -27*p - 0*p. Suppose h + 5*g - 304 = 0, 2*g - 1520 = -p*h - 0*h. List the prime factors of h.
2, 19
Suppose 2*i + 19*f - 28929 = 18*f, 43399 = 3*i - 4*f. List the prime factors of i.
5, 11, 263
Let u be 1 + (-4 - -5) + -1. Suppose 5*a + 299 = 2*v, -3*a + 4*a = u. Suppose 0*c = -4*i - 3*c + v, -2*c - 131 = -3*i. What are the prime factors of i?
41
Suppose -5*k + 261602 = 11*k + 6*k. List the prime factors of k.
11, 23, 47
Let b = 40 - 33. Suppose 0*f = b*f - 1400. Suppose f = 4*i + n, 0*i = -3*i + n + 143. What are the prime factors of i?
7
Suppose 5*t + 4*d = 81331, t + 8*d - 16272 = 13*d. List the prime factors of t.
16267
Let r be ((-6)/8)/(5/(400/(-15))). Suppose -2*k - 285 = -j, -r*k = 4*j - 9*j + 1413. List the prime factors of j.
281
Let h = 9310 + -1386. What are the prime factors of (3/(-2))/((63/h)/(-3))?
2, 283
Suppose -9*s = 36 + 99. Suppose -2*x + 5*m + 195 = 0, 3*x + m + 0*m = 250. Let v = x - s. What are the prime factors of v?
2, 5
Let v(r) = -770*r - 118. Let j be v(-5). Suppose 5*b - j = 2163. List the prime factors of b.
3, 131
Let k(a) = -17*a**3 - 2*a**2 + 4*a - 3. Let x be k(1). List the prime factors of (-28737)/x + (10/4)/(-1).
2, 797
Suppose 4*p = 4*g - 84, 3*g + 2*g + 5*p - 75 = 0. Suppose -3*o + 0*x = 4*x - g, -3*o + 4*x = -18. Suppose -3*y - 501 = -o*y. What are the prime factors of y?
167
Let g(q) = 151*q**2 + 22*q + 174. List the prime factors of g(-7).
3, 2473
Suppose 0*g + 3*h - 2478 = 3*g, -3*h = 2*g + 1632. Let q = 1878 + g. List the prime factors of q.
2, 3, 11
Let s(c) = 146*c**3 + 4*c**2 + 68*c - 305. List the prime factors of s(6).
37, 859
Let y(t) = -450*t - 144. Let r be y(-6). Let b = r + -1796. What are the prime factors of b?
2, 5, 19
Let c = -17 - -20. Suppose c = t, t + 467 = 4*k + k. Suppose 0 = 7*d - 9*d + k. List the prime factors of d.
47
Suppose 184 = -4*x + 3*r, -5*r + 3*r = 3*x + 121. Let w = -44 - x. List the prime factors of w/(-1) - (-188 + 14).
5, 7
Let d be (48/(-20))/((-2)/10). Suppose -315 = -3*s + d. List the prime factors of s.
109
Let w = -3008 + 5384. Suppose 3*f - 479 = -n, -4*n + f + w - 473 = 0. What are the prime factors of n?
2, 7, 17
Let l(o) = -457*o + 2346. What are the prime factors of l(-5)?
11, 421
Suppose 5*l + 4*b = -61 - 40, -l - 3*b - 18 = 0. List the prime factors of (-9414)/(-7) + 18/l.
2, 3, 7
Suppose -o - 7 - 30 = -3*d, -3*d + 17 = -5*o. Suppose 0 = -d*v + 24*v - 15190. List the prime factors of v.
7, 31
Suppose 3*m - 14*m = -5*m. List the prime factors of (m - -1945)/5 - 0/1.
389
Suppose 6*k + 1619904 = 16*k + 22*k. What are the prime factors of k?
