h**2. What are the prime factors of l(11)?
13, 83
Let d(f) = f + 24. Suppose -29 = 5*g + 41. Let b(p) = 2*p**2 + 30*p + 28. Let o be b(g). List the prime factors of d(o).
2, 3
Let q(k) = k**3 + 2*k**2 - 6*k**2 + 26 - 10 - 4*k. Suppose 4*z - 5*g = 13, 0 = 5*z + 7*g - 11*g - 23. List the prime factors of q(z).
3, 5
Let p(x) be the first derivative of 5*x**3/3 - 11*x**2/2 + 37*x + 51. What are the prime factors of p(-7)?
359
Let p(k) = -18*k + 36. Let u be p(-4). Let s = 75 + u. Suppose 0 = 7*l - s - 314. List the prime factors of l.
71
Let w be (-12)/9*(3/(-12) + -2). Suppose 3*o = b + 3, 2*b = -5*o - w*b + 25. Suppose -o*j + 57 = 2*r + 3*j, 0 = -r - 3*j + 30. What are the prime factors of r?
3, 7
Suppose 4973*i = 4964*i + 57285. What are the prime factors of i?
5, 19, 67
Suppose 4*l + 2006 = 3*b + 6819, -l + 1207 = -2*b. Let r = -397 + l. List the prime factors of r.
2, 3, 67
Let u be (3 - 2)/(2/8). Suppose u*p = -0*p + 24. Suppose -p*z + 230 = 2. What are the prime factors of z?
2, 19
Let k(u) = -756*u + 1863. List the prime factors of k(-23).
3, 23, 31
Let t = -795 + 3129. What are the prime factors of t?
2, 3, 389
Let j(b) = 20*b**2 - 10*b + 129. What are the prime factors of j(21)?
3, 971
Suppose -10501 + 103153 = 12*l. What are the prime factors of l?
7, 1103
Suppose 231*d = 244*d - 100581. List the prime factors of d.
3, 2579
Let z(b) = 3*b**3 + 11*b**2 - 7*b + 41. List the prime factors of z(12).
5, 269
Suppose 0 = 4*c + 3*d + 18, 3*c - 8*c + 5*d - 5 = 0. Let k be (1 - 2516)*4/(-12)*c. List the prime factors of (-4)/(-10) - k/25.
101
Let l be (35/(-70))/((-2)/1780). Let k = l - 88. What are the prime factors of k?
3, 7, 17
Let d = -370 - -372. List the prime factors of (-8 + 7)/(d/(-732)).
2, 3, 61
Suppose z - 20*c - 292 = -22*c, 0 = -4*z + 5*c + 1220. Let n = z + -151. What are the prime factors of n?
149
Let f(y) = 44*y + 62. Suppose 25 = 13*b - 14. What are the prime factors of f(b)?
2, 97
Let c(b) = 5*b + 17. Let d(n) = -9*n - 35. Let r(z) = 5*c(z) + 3*d(z). Let p be r(-11). Suppose l - 17 = -p. What are the prime factors of l?
3, 5
Let z be ((-8)/(-18)*39)/((-4)/(-222)). Suppose 3*a - 25 = -2*k, 0*k = 3*k + 2*a - 25. Suppose z = k*h + 327. What are the prime factors of h?
127
Let n(v) = -28*v**2 + 61*v + 6. What are the prime factors of n(2)?
2
Suppose -6*c - 5 + 23 = 0. Suppose 0 = 2*g + c*r - 479, r - 720 = -3*g - 2*r. Suppose 1056 = 5*o + g. What are the prime factors of o?
163
Let r(y) = -6*y + 6*y + 23 - 4*y - y**2. Let h be r(-7). What are the prime factors of h + ((-2240)/5)/(-4)?
2, 3, 19
Let s be (-1)/14*4 - 12228/28. Let w = 95 - s. Let g = w + -348. What are the prime factors of g?
2, 23
What are the prime factors of 14/(-6) + 1477060/345?
11, 389
Let d(l) = -17*l**2 + 41*l + 80. Let h(f) = 6*f**2 - 14*f - 27. Let j(m) = -4*d(m) - 11*h(m). What are the prime factors of j(13)?
5, 37
Suppose 32*m = 8*m + 2*m + 435226. What are the prime factors of m?
73, 271
Let c(j) = 94*j**2 - j + 7. Let y be c(-2). Suppose -4*k = -2*r - 4593 + y, -3*k - 4*r = -3134. List the prime factors of k.
2, 3, 5, 7
Suppose -45 = 3*x - 5*m, -5*m + 1 - 16 = 3*x. Let g(h) = -20*h - 63. What are the prime factors of g(x)?
137
Let t = -52318 - -74622. What are the prime factors of t?
2, 17, 41
Suppose -18*n = 1284 + 480. Let p = n - -881. List the prime factors of p.
3, 29
Suppose -3*f + 8*f = 20. Suppose -u = 3*q - 11, -3*u = q - f*u - 5. List the prime factors of ((1 - 0) + 1)*q.
2
Let u(c) = -c**3 + 14*c**2 - 22*c + 28. Suppose 3*j - 42 = -4*v, 0 = 5*v + 2*j - j - 58. What are the prime factors of u(v)?
2, 13
Suppose -4*h + 89 - 81 = 0. Suppose u = 3*r + 138, 8*u = 11*u + h*r - 392. List the prime factors of u.
2, 3, 11
What are the prime factors of 40024*(-5)/(-30)*(-6 + 7 + 2)?
2, 5003
Suppose 225130 = 36*h + 11*h. What are the prime factors of h?
2, 5, 479
Let l(c) = -101*c + 521. List the prime factors of l(-18).
2339
Let s = 79833 - 48856. What are the prime factors of s?
30977
Suppose -45*p + 2350 = 820. Suppose 4160 = p*j - 8*j. What are the prime factors of j?
2, 5
Let v be (-234)/(-15) - (1 - 14/10). Let f be (-1)/(-4) - (-76)/v. Suppose -4*p + 76 = -2*w + f*w, -w + 4 = 0. List the prime factors of p.
2
Suppose -5*o + 100875 = 3*c, -5*c + 40331 = 20*o - 18*o. What are the prime factors of o?
2, 3, 19, 59
Let b(s) = -3*s**3 - 1. Let j be b(-4). Let k = j + -175. What are the prime factors of k?
2
Suppose -4*c - 24 = -y, 2*c - 19 - 13 = -5*y. Let m(r) = -4*r**3 + 8*r - 5 - y*r**2 + 2*r**3 - 1 + 8*r. List the prime factors of m(-7).
2, 11
Let d(t) = -t + 13. Let v be d(8). Suppose 3*k + 3 = -0*k, k = v*x - 2591. List the prime factors of x.
2, 7, 37
Suppose 0 = -4*k - 4*h + 4184, 0*h = 5*k - 2*h - 5216. Suppose 0 = 3*q + 306 - k. What are the prime factors of q?
2, 3, 41
Let z(g) = 17*g - 16. Let v be z(13). Let t = -64 + v. Suppose -4*u + t = -u. List the prime factors of u.
47
Let h(r) = -156*r + 44. Let m be h(2). Let b = m + 452. List the prime factors of b.
2, 23
Suppose 2*y + 4*c = 6*c + 2828, 0 = c - 5. Let m = y + -962. List the prime factors of m.
457
Suppose 84 = -9*f + 37*f. Suppose -661 = -f*s - t, -4*s = -2*t - 465 - 433. List the prime factors of s.
2, 3, 37
Suppose 0 = 5*z - 0*y - 3*y + 21, 0 = z - 4*y - 6. Let b be ((-74)/z)/((-2)/(-24)). Suppose -98 = -2*m + b. What are the prime factors of m?
3, 41
Let h(f) = -101*f + 91. Let t(u) = -2*u + 36. Let w be t(20). List the prime factors of h(w).
3, 5, 11
Suppose -7*x = 4*x - 55. What are the prime factors of -3 - (-2378)/x - 6/(-15)?
11, 43
List the prime factors of -24*13/39 - -14753.
3, 5, 983
Let c = 8438 + -4235. What are the prime factors of c?
3, 467
Let v(c) = c**3 + 2*c**2 - 29*c + 393. List the prime factors of v(26).
3, 2063
Suppose 10*r + 31179 + 114321 = 30*r. List the prime factors of r.
3, 5, 97
Let y be (-9)/2*(0 + -2). Let b(o) = -19*o - 37. Let m(p) = 39*p + 75. Let i(q) = -9*b(q) - 4*m(q). What are the prime factors of i(y)?
2, 3, 7
Suppose 8 = -10*x + 14*x. Suppose -33 = -3*p - i, 0*i + x*i = p - 11. Let t(q) = 3*q**2 - 28*q - 2. What are the prime factors of t(p)?
53
Let r(b) = -89*b + 49. Let x be 2/17 + (-206)/17 + 6. Let n be r(x). Suppose -5*k + n = -132. What are the prime factors of k?
11, 13
Let a(u) be the third derivative of -u**4/24 + 35*u**3/6 - 503*u**2. Let q = -17 + 24. List the prime factors of a(q).
2, 7
Suppose -3*l - 110202 - 19971 = -3*p, -p - l + 43399 = 0. List the prime factors of p.
3, 5, 11, 263
Let z be (-1 + 0)/(1/2). Suppose 9*h - 80*h + 24708 = 0. What are the prime factors of (h/8)/((-1)/z)?
3, 29
Let g be (-38)/(-3) + (-12)/18. Suppose g = 4*q - q. Let t = q - -3. What are the prime factors of t?
7
Let p = 2841 + 3063. List the prime factors of p.
2, 3, 41
Let y = 895 - 847. What are the prime factors of y?
2, 3
Suppose 166*h - 168*h = -3*r - 27481, -4*h + 5*r = -54961. List the prime factors of h.
11, 1249
List the prime factors of -20 + 12 + 3*4187.
12553
Let u(t) be the second derivative of -3*t**5/20 + t**2/2 + 9*t. Let o be u(-4). Let k = o - 112. What are the prime factors of k?
3
Let a = -20 + 23. Suppose 17 = 3*g + 2, a*g = -3*i + 162. Suppose 0 = 3*o - 152 - i. List the prime factors of o.
67
Suppose 3*b - 13*b + 50 = 0. Suppose -b*w + 109 + 131 = 0. What are the prime factors of w?
2, 3
Suppose 158 = -4*y + 3*y. Let z = y - -138. Let w(d) = -6*d - 34. What are the prime factors of w(z)?
2, 43
Let b = 107184 - 74866. List the prime factors of b.
2, 11, 13, 113
Let f = -970 + 998. Let m be (-62)/3*(-36)/24. Suppose -f*j = -m*j + 306. What are the prime factors of j?
2, 3, 17
Suppose 426056 = 4*d + 110828. List the prime factors of d.
3, 109, 241
Suppose 14 = 5*n - c, 4*n - 4 = 3*c - 4*c. Suppose -n*i - 3*i - 1740 = -5*w, 0 = -w + 3*i + 356. What are the prime factors of w?
2, 43
Let g = 176 - 297. Let t = 145 + g. List the prime factors of t.
2, 3
Let v(i) = 5*i**3 - 5*i**2 + 4*i + 5. Let s = -278 - -282. List the prime factors of v(s).
3, 29
Suppose 9*s + 5*s = -308. Let l = s + 22. List the prime factors of l + 22/55 + (-643)/(-5).
3, 43
Suppose 21*g + 87 - 150468 = 0. What are the prime factors of g?
3, 7, 11, 31
Suppose 4*b - 17 = -5. Suppose -s + 8 = -b*c, -2*c = -2*s + 9 - 1. Suppose m = 5*t - s*m - 420, -15 = -3