
53
Let g = 5 + -6. Let z(h) = 114*h**2 + 1. List the prime factors of z(g).
5, 23
Let s(d) = 4958*d - 856. List the prime factors of s(5).
2, 3, 3989
Let k be ((-5)/1)/(-5) + 4. Let z(d) = 1 - 2*d + 2*d**2 + 10*d - k*d. What are the prime factors of z(5)?
2, 3, 11
Let m = -1 + 8. Suppose 10 = -m*u + 12*u. Suppose 0 = 5*s - h - 769, -311 = -2*s - 5*h + u*h. List the prime factors of s.
2, 7, 11
Let i(z) = 91*z**2 - 32*z + 43. List the prime factors of i(-19).
2, 7, 2393
Let m = 152 + -114. Let f(x) = -2*x**2 + 107*x + 1. List the prime factors of f(m).
3, 131
Let i = 9 + -4. Let g = 8423 - 8421. Suppose 0 = -5*s, i*y + g*s - 171 = 314. List the prime factors of y.
97
Suppose 5*y + t - 40440 = 0, 4*y - 44530 = -5*t - 12199. List the prime factors of y.
8089
List the prime factors of (-425)/340 + 10154/8.
2, 317
Suppose 2*q + 3*q - 5595 = 5885. What are the prime factors of q?
2, 7, 41
Let k(u) = 1288*u**2 + 1474*u - 15. List the prime factors of k(-6).
3, 12503
Suppose 5*v = -f + 48590, -4519*f + 4518*f - 4*v = -48599. List the prime factors of f.
5, 71, 137
Let m = 410 - -257. Suppose 0 = -2*z + 3*k + m - 119, 0 = z + k - 274. List the prime factors of z.
2, 137
Let s(b) be the second derivative of b**5/20 + 3*b**4/2 - 12*b**3 - 16*b**2 - 110*b. List the prime factors of s(-21).
157
List the prime factors of (3 + 10)*1 + 4005.
2, 7, 41
What are the prime factors of (7887/22)/((2 + -6)/(-88))?
3, 11, 239
Let x(r) = -2*r**2 + 10*r - 2. Let k be x(6). List the prime factors of k/(-147)*7*453.
2, 151
Let j(n) be the third derivative of -n**4/8 + 23*n**3/3 - 2*n**2. Let a(t) = -5*t**2 - 11*t + 4. Let m be a(-3). What are the prime factors of j(m)?
2, 5, 7
Let u = 89 - 85. Let n be ((0/1)/(0 + u))/(-3). Suppose -2*f + 3*d + 165 = -230, -4*d - 20 = n. What are the prime factors of f?
2, 5, 19
Suppose -11*n - 61263 + 318264 = -42298. What are the prime factors of n?
7, 13, 23
Let q be (9/(-27))/((-2)/6)*0. Let f be 1748/10 - (q + 3/(-15)). Let h = 352 - f. What are the prime factors of h?
3, 59
List the prime factors of ((-47870)/9)/((-225)/2430).
2, 3, 4787
Let r(j) = -j**3 + j**2 + 14*j - 1. Suppose -z + 31 + 13 = 0. Suppose -4 - z = 8*o. List the prime factors of r(o).
167
Let y(v) = -10*v + 1176. What are the prime factors of y(-9)?
2, 3, 211
Suppose 4*f - 109 = -3*v, -4*f - 4*v + 139 = -7*v. Let u = 3582 - 3582. Suppose f = c - u*c. What are the prime factors of c?
31
Let d be (-4)/18 - ((-673728)/54)/11. Let k = 2524 - d. Suppose -13*m = -18*m + k. What are the prime factors of m?
2, 139
Suppose -11*u - 135 = -12*u. Let a = u - 9. What are the prime factors of a?
2, 3, 7
Let p(x) = 4*x**3 + 40*x**2 - 7*x - 146. What are the prime factors of p(13)?
61, 251
Let q(r) = 266*r**2 + 64*r + 1034. What are the prime factors of q(-13)?
2, 3, 53, 71
Suppose 290394 = -3505*x + 3514*x. What are the prime factors of x?
2, 13, 17, 73
Let p = -4281 - -4492. What are the prime factors of p?
211
Let c be ((-4)/10 + 122276/(-10))/(-1). Suppose 20*k = -1328 + c. What are the prime factors of k?
5, 109
Suppose 18*a - 80*a = -391592. Suppose 0 = -5*x - 0*x - j + a, 5*x + 4*j = 6319. List the prime factors of x.
3, 421
Suppose 0 = q + 4*q + 20. Let o = q + 7. List the prime factors of 22 + (o - (6 - 2)).
3, 7
Let w(v) = -2*v**3 + 18*v**2 + 30*v - 168. What are the prime factors of w(-16)?
2, 7, 31
Let t be -15 + 12 + (-650)/1. Let g = 1033 - t. List the prime factors of g.
2, 3, 281
Let d(a) be the first derivative of 1/3*a**3 + 23*a - 5/2*a**2 - 10. What are the prime factors of d(11)?
89
Let a(d) = 392*d**2 - 185*d**2 - 11 - 199*d**2 - 42*d. What are the prime factors of a(-5)?
3, 7, 19
Let l(u) = 1320*u**2 + 50*u + 185. What are the prime factors of l(-3)?
5, 2383
Let j(c) = 5*c**3 + 7*c**2 + 7*c - 14. Let b(i) = -5*i**3 - 7*i**2 - 6*i + 14. Let w(f) = 6*b(f) + 7*j(f). List the prime factors of w(5).
23, 37
Suppose 2*q - 14520 = -8*q. List the prime factors of q.
2, 3, 11
Let r = -1858 + 9614. Suppose -26356 = -20*y - r. What are the prime factors of y?
2, 3, 5, 31
Let b be ((-10)/6)/(9/351). Let i = 204 + b. Suppose 3*l - 3*r + 119 = 4*l, -r - i = -l. What are the prime factors of l?
2, 67
Let n be (6/(-4)*1)/((-18)/(-96)). List the prime factors of (-1990)/n + 54/(-8) + 7.
3, 83
Let a(f) be the second derivative of f**4/6 - f**3/6 + 191*f**2/2 + 140*f. Let l = 0 + 0. List the prime factors of a(l).
191
Let n be (-81)/(-27)*(-4)/6. Suppose -4*f - 5 = u, -4*u - 2 + 3 = -5*f. What are the prime factors of (-137)/u + n/(-6)*6?
139
What are the prime factors of 33088/6*360/240?
2, 11, 47
Suppose -4*t = 3*t - 882. Suppose 5*v - 459 = t. List the prime factors of v.
3, 13
Let r(u) = -u**2 + 9*u + 15. Let l be r(11). Let i(g) = -68*g - 27. List the prime factors of i(l).
449
Let c be 42/9 - (0 + 2/3). Suppose 2*m - 5*f + 6 = -1, -c = 2*m - 4*f. Suppose -5*z + 4*n = -774, -m*n = z - 138 - 36. What are the prime factors of z?
2, 79
What are the prime factors of (-970314)/(-48) + 5 - 7/(-56)?
2, 3, 5, 337
Let y(h) = -124*h + 259. List the prime factors of y(-11).
3, 541
Suppose 0 = -64*b + 214602 + 45272 + 365150. List the prime factors of b.
2, 19, 257
Let x(a) be the second derivative of -a**5/10 - 7*a**4/12 + 11*a**3/6 - 3*a**2/2 - 5*a. Let k = 681 - 688. What are the prime factors of x(k)?
263
Let m be ((-1769)/174)/((-2)/12). Let w = m - -163. List the prime factors of w.
2, 7
Let h = 365 - 516. Let g = 471 + h. Suppose -5*n + q + g = -q, -2*q = n - 52. What are the prime factors of n?
2, 31
Let k(a) = 2*a**2 + 3*a - 2. Let v be k(-5). Suppose -4*o - v - 33 = -5*g, -g + 30 = -2*o. Let j = 5 - o. What are the prime factors of j?
19
Suppose 0 = 6*g - 7*g - 8. Let s be 4125/(-50)*g/6. Suppose 4*k - 94 - s = 0. What are the prime factors of k?
3, 17
Suppose -525 = -n + 4*w, 2*n = -w - 3*w + 1110. Suppose -g - 52 = c - 235, g + n = 3*c. List the prime factors of c.
2, 7, 13
Suppose 12572 = k - m, -3*k + 39*m = 12*m - 37764. List the prime factors of k.
2, 3, 5, 419
Suppose -12*w = -q - 146756, 6*w = w + 5*q + 61130. What are the prime factors of w?
2, 5, 1223
Suppose 6*r - 31*r + 1071240 = 54*r. What are the prime factors of r?
2, 3, 5, 113
Let c = -3426 - -3437. Let p(f) = 2*f**2 - 13*f - 20. Let z(k) = -k + 1. Let r(b) = p(b) + 4*z(b). List the prime factors of r(c).
3, 13
What are the prime factors of 302/((-202)/(-18) + -11)?
3, 151
Let g be (24/6 - -10)/((-4)/(-38)). Suppose n - g = 64. List the prime factors of n.
197
Let z = 20710 + 2425. What are the prime factors of z?
5, 7, 661
What are the prime factors of -2 - 35157/(-6) - ((-63)/14 + 5)?
5857
Let o(y) = -539*y + 180. Let f be o(-6). Suppose 1326 + f = 6*i. What are the prime factors of i?
2, 5, 79
Suppose 454*t - 461*t = -23261. List the prime factors of t.
3323
Suppose -2*t - t - 502 = -4*n, -5*t + 2*n = 832. Let m be (-48)/(-36)*(-402)/(-8). Let p = m - t. List the prime factors of p.
233
Let t be ((-5)/15)/(6/(-18)). What are the prime factors of (-1 + 7/2)*118/t?
5, 59
Suppose -23*y = -183*y + 412640. List the prime factors of y.
2579
Suppose 20*n - 11*n - 81 = 0. Let g(w) = 21*w - 70. What are the prime factors of g(n)?
7, 17
Suppose 5*p + 17 = -4*x, 7 = -4*x + 3*p + 2*p. Let t(y) = -177*y + 3. List the prime factors of t(x).
2, 3, 89
Suppose 150*a = -131*a + 2337920. List the prime factors of a.
2, 5, 13
Let m(x) = 3*x. Let t(g) = -115*g - 263. Let n(r) = 2*m(r) - t(r). List the prime factors of n(6).
23, 43
Let h(d) = -d - 3. Let a be h(3). Let x be (-8)/a + (-32)/(-48). What are the prime factors of (6*105/(-24))/(x/(-8))?
3, 5, 7
Suppose 3*h - 3*z - 3 = 0, -4*h + 6*h - 4*z + 4 = 0. Suppose 0 = -2*y - 3*g + 311, -3*y + 766 = 2*y - h*g. Let m = y - 82. What are the prime factors of m?
2, 3
Suppose 0 = 4*q - 8*q + 152. Let n = q + -33. Suppose 84 = 2*o + 3*i - i, 182 = n*o - 2*i. List the prime factors of o.
2, 19
Let d(o) = o**2 + 12*o - 11. Suppose 9 + 4 = -w. Let g be d(w). Suppose 4*u + 0*i = g*i + 142, 4*u = -5*i + 149. List the prime factors of u.
2, 3
Suppose -h - h - 2*r = -238, 623 = 5*h - 2*r. Let a = h + 27. List the prime factors of a.
2, 3, 5
Suppose -2916 = -2*n - 4*u, 216*n - 220*n - 4*u = -5828. List the prime factors of n.
2, 7, 13
Suppose 0 = j + 4*v + 81, 5*v + 0*v = -3*j - 215. L