 22. List the prime factors of ((-2226)/(-56))/(n/(-8)).
2, 53
Let y(a) = 4*a**2 - a. Let n be y(2). Suppose -19*f + n*f = -1610. List the prime factors of f.
2, 7, 23
Suppose -2*h - 652 = -5*u, u + 0*u - 132 = 2*h. Let i = 203 - u. Let m = -30 + i. What are the prime factors of m?
43
Let z(o) = -3*o - 221. Let l be z(-37). List the prime factors of l/(-15)*(-42)/(-4).
7, 11
Suppose -22*v + 21*v - 4*m = -76237, 25 = -5*m. List the prime factors of v.
3, 37, 229
Let z = 1150 + -440. Suppose 360*v + z = 362*v. List the prime factors of v.
5, 71
Let r = 82 - 78. Let x(m) = -10*m + 4. Let b be x(9). List the prime factors of (r - 5)*b/2.
43
Suppose 2*w + 265 = 909. Suppose j - 156 = 3*u - 695, 361 = 2*u + j. Let x = w - u. What are the prime factors of x?
2, 71
Suppose -o - 5*g = 344, -2*g - 982 = 3*o + 3*g. Let z = o - -1424. List the prime factors of z.
5, 13, 17
Suppose 0*k - 8 = -2*k - 4*j, -2*j - 4 = -k. Suppose 380 = k*p - 5*q + q, 6 = 3*q. What are the prime factors of p?
97
Suppose 0 = 86*t - 82*t + 1044. Let x = 34 - t. What are the prime factors of x?
5, 59
Let y = 29 - 25. Let w(b) = -b**2 - 23*b - 36. Let g be w(-20). List the prime factors of y/(-24) - (-2476)/g.
103
Let y(i) = 16*i**2 + 100*i - 1011. What are the prime factors of y(10)?
7, 227
Let a(r) be the first derivative of r**2 + 5*r + 10. Let j be a(-4). List the prime factors of (16 + -2)/((-172)/60 - j).
3, 5, 7
Let k(m) = 19*m**2 - 31*m + 209. What are the prime factors of k(14)?
3499
Suppose 7*p = -r + 4*p + 6, 3*r - 2*p = -4. Suppose -h - 2*h - 3 = 4*d, 3*d + 3*h = r. List the prime factors of (25/3 + d)/((-2)/(-12)).
2
Let g(z) = -3*z - 18. Let r be g(-7). Let v be 171 + 1*(r - 2). Suppose 0*q = -2*q + v. List the prime factors of q.
2, 43
Suppose 4*z - 3*a = 12, 4*a + 16 = -2*z + 6*z. Suppose z = -18*s + 13*s + 425. Let q = s + -53. What are the prime factors of q?
2
List the prime factors of 107 + ((-2)/3)/(4/6).
2, 53
Suppose v - 684 = 5*f + 333, 0 = -v - 4*f + 1026. Suppose 3*p - v = -3*n + 3781, -n + 1589 = 4*p. What are the prime factors of n?
3, 5, 107
Suppose 0 = 4*d - 2*q - 34, d + 5*q = 5*d - 37. Let b(x) = -x**3 + 9*x**2 - 7*x - 2. Let p be b(d). Suppose 840 + 228 = p*s. What are the prime factors of s?
2, 89
Let f(p) = p**2 + 11*p + 8. Let h be f(-19). Let d be h/90 - (-2)/9. Suppose -d*x + 320 = 5*n, 141 + 65 = 3*n + 4*x. List the prime factors of n.
2, 31
Let q be 1 + 1 - 1 - (14 + -16). Suppose -4*l + 4*h - 340 = 0, 5*h - 121 = q*l + 138. Let a = l - -96. What are the prime factors of a?
13
Let p(q) = q**3 + 4*q**2 + 18*q + 18. List the prime factors of p(29).
3, 9431
Suppose -w - 2 = -4. Suppose 5*s - 403 = -w*y, -2*y + 4*y - 393 = -3*s. Suppose -3*q = 4*x - 792, 0*x - 3*q + y = x. What are the prime factors of x?
3, 67
Let r(p) = 1721*p + 1168. List the prime factors of r(4).
2, 3, 11, 61
Let z = 17229 + -5860. What are the prime factors of z?
11369
Let u(p) be the second derivative of -p**3/2 + 19*p**2 + 164*p. What are the prime factors of u(-8)?
2, 31
Suppose 0 = -16*u - 49*m + 47*m + 52914, 0 = 5*u - 4*m - 16568. List the prime factors of u.
2, 827
Let d be 23832/32 + (-1)/(-4). Suppose -3*l - 2*k = -d, 9*k = -4*l + 6*k + 995. What are the prime factors of l?
5, 7
Let i = -11015 + 17600. List the prime factors of i.
3, 5, 439
Let c(s) = 14*s + 2*s**2 + 0*s**3 - 1 - 27*s - 1 + s**3. Let p be c(7). Suppose -q - p = -4*q. List the prime factors of q.
2, 29
Let z(g) = 641*g - 695. List the prime factors of z(27).
2, 4153
Suppose 0 = -2*t - 0*t + 92. Let m(u) = u**2 - 20*u + 103. Let a be m(18). Let q = a - t. List the prime factors of q.
3, 7
Let i = 217 + -177. Suppose 33*p = i*p - 98. What are the prime factors of p?
2, 7
Suppose y + 12 = 4*y. Suppose 128 = -y*a - 3*d, -3*a - 4*d = -2*a + 32. Let t = a + 50. List the prime factors of t.
2, 3
Let r(u) = -128*u**2 - 10*u - 95. Let p(s) = 85*s**2 + 7*s + 62. Let v(c) = 8*p(c) + 5*r(c). List the prime factors of v(-4).
7, 13
Let z(v) = 9*v**2 + 482*v - 9. What are the prime factors of z(-58)?
2311
Let x = 93950 - 35181. List the prime factors of x.
17, 3457
List the prime factors of ((-428)/(-12))/(3592/(-720) + 5).
2, 3, 5, 107
Suppose 4*z - 2249 = -5*r + 6*z, 1810 = 4*r + 2*z. List the prime factors of 18/27*(-18)/(-4) + r.
2, 227
Let i(l) = 20*l**2 + 222*l + 10. Let d be i(-12). Suppose -3*p = -5*p + 270. Let f = d - p. List the prime factors of f.
7, 13
Let y(m) = 1780*m**2 - 51*m - 192. List the prime factors of y(-3).
3, 7, 761
Suppose 2733*s + 1004709 = 2802*s. List the prime factors of s.
14561
Suppose 59*n - 346 = 126. Suppose 0 = n*j - 10047 - 4729. What are the prime factors of j?
1847
Let q(b) = -b**3 + 2*b**2 + 9*b + 3. Let t be q(-5). Let p = 132 - t. List the prime factors of 45/(p - 2)*(0 - 2).
2, 3, 5
Suppose -33*n + 36*n = 6. Suppose f - 14 = -f - w, -5*w + 10 = -n*f. Suppose f*u + 86 = k, -4*k + 3*k + 51 = 2*u. List the prime factors of k.
61
Suppose 5*q - 180946 = 2*t, -t + 72391 = -191*q + 193*q. What are the prime factors of q?
2, 3, 13, 29
Suppose 4*t + 26 = -f, 4 = 3*f - 2*t + 12. Let p be 8*(-4 - 27/f). List the prime factors of 332/11 - p/22.
2, 3, 5
Let i = -169 + 259. Let n be i/(-12)*(5 - -1). Let m = n + 259. List the prime factors of m.
2, 107
Let v be 0 + 3572/4 + -7. Suppose 5*d = 15*t - 14*t - 434, 0 = 2*t - 4*d - v. What are the prime factors of t?
449
Let w(s) = -s**3 + 24*s**2 + 38*s - 116. Let o be w(24). Suppose -j + 4148 - o = 4*q, 0 = q - 2*j - 838. What are the prime factors of q?
2, 419
Let r(x) = 5*x**3 - 71*x**2 + 63*x + 182. List the prime factors of r(31).
7, 19, 89
Let v be (76/8 - 2)*8/2. What are the prime factors of (-23164)/(-14) + v/70?
5, 331
Let o be ((-3292)/12)/(2/(-6)). Suppose -3*q + w = 2*q - o, -2*q + w = -328. List the prime factors of -2 + (-3 - 1) + q.
3, 53
Let k(y) = 2*y**2 + 19*y + 342. What are the prime factors of k(64)?
2, 3, 5, 13
Let y be (16/(-12))/((-4)/(-6)). Let j(b) = 7*b + 5. Let h be j(y). What are the prime factors of (-6)/(-9) - 435/h?
7
Let j(n) = n**3 - 4*n**2. Let i be j(4). Suppose 223 = -64*a + 543. Suppose a*h - 5*d - 5 = i, 0 = -h + 3*h - d - 3. What are the prime factors of h?
2
Suppose -116*u = 32*u - 10*u - 76452. List the prime factors of u.
2, 277
Suppose 0 = -3*b - 6*b - 990. Let f be (18/15)/(-4 + b/(-25)). Suppose -f = k, -2*r = -5*r - 3*k + 105. What are the prime factors of r?
2, 19
Suppose -2*p + u = 3, 0 = -5*p - 4*u + 8*u. Let o be p/16 - (1 - 5/4). What are the prime factors of (-231)/(-6)*(o + 2)?
7, 11
Suppose -z = -6*z - 5*u - 45, 2*u + 25 = -3*z. Let d(r) = -55*r - 21. Let m be d(z). Suppose 5*a = -2*a + m. What are the prime factors of a?
2, 13
Let d(p) = 3*p**3 - 42*p**2 - 62*p - 187. What are the prime factors of d(22)?
3, 5, 11, 61
Suppose 33*p = 37*p - 60. Suppose -4*k + p + 9 = 0. Suppose 0 = k*c - c - 190. List the prime factors of c.
2, 19
What are the prime factors of 2/10 + 69384/105?
661
What are the prime factors of 27*5*(-5)/150*-564?
2, 3, 47
Suppose 0 = -4*l - 3*g + 51441, -47*l + 52*l - 64306 = g. What are the prime factors of l?
3, 1429
Let u = 25881 - 886. List the prime factors of u.
5, 4999
Let p(w) = -w**3 + 2*w**2 + 159. Suppose 2*d = -50 + 50. What are the prime factors of p(d)?
3, 53
Let h = -354 + 356. What are the prime factors of h/10 - (-6248)/10?
5
Let b(t) = 4*t + 2. Let d be b(2). Let z(x) = 837*x + 1674. Let j be z(-2). Suppose -k + 2*a + d = 4*a, -3*k + a + 16 = j. List the prime factors of k.
2, 3
Let m = 17329 + -1603. List the prime factors of m.
2, 3, 2621
Let t be ((-7638)/(-102) - -6) + (-2)/(-17). Let y = 86 - t. What are the prime factors of y?
5
Let w = 6 - -1. Let i(o) = -2*o + 16 + o + w. List the prime factors of i(0).
23
Let t(c) = -c**2 - 2*c + 9. Let s be t(3). Let w be (-3)/2 + (-9)/s. Suppose 3*m = -5*u + 49, -2*u - 3*m + 6 + 19 = w. What are the prime factors of u?
2
Let i(a) = -2*a + 16. Let t be i(8). Suppose t = -2*o + 3*x + 12, 5*o - 20 = 4*x + 10. What are the prime factors of o/(-27) - 5048/(-36)?
2, 5, 7
Suppose -2*u - 67 = -3*h + 22, 0 = -h - 2*u + 43. Let z = h - -108. What are the prime factors of z?
3, 47
Let o = 111246 - 32195. List the prime factors of o.
7, 23, 491
Let c = 35 + -31. Suppose c*b = 3*b + 6. List the prime factors of 4/