 1. Let k be p(-3). Suppose -8*w + 7*w + x = -5, x = -w + 7. Suppose w*z - k = 269. What are the prime factors of z?
2, 3, 7
Let i(w) = -7*w**2 + 2*w - 2. Let v be i(1). Let c(j) = -2*j**3 - 4*j**2 - 10*j - 10. What are the prime factors of c(v)?
2, 5, 11
Suppose -o = 2*g - 6694 + 1764, 5*g = -2*o + 12326. What are the prime factors of g?
2, 3, 137
Suppose 4*h - 7 = 61. Suppose 7*w + h = 6*w. Let g = w + 27. List the prime factors of g.
2, 5
Let p(x) = 623*x**2 + 35*x + 14. List the prime factors of p(5).
2, 7, 563
Let w(o) = -18090*o. Let y(l) = -79*l. Let r(s) = 6*w(s) - 1377*y(s). Let a be r(1). Suppose 2*c = 8, -5*h - 3*c = -a + 41. List the prime factors of h.
2, 19
Let s = -187 + 190. Suppose -c + 913 = -s*o - 483, 0 = -o - 2. List the prime factors of c.
2, 5, 139
Suppose 38*u - 1461555 - 1217590 = -816841. List the prime factors of u.
2, 3, 1021
Suppose 2 = 3*q + 4*j, q + j = -j. Let a(v) = -35*v**3 + v**2 + 3. Let z be a(q). Let h = 461 + z. What are the prime factors of h?
2, 47
Suppose 12*k - 15*k + 28800 = 3*q, -q + k + 9610 = 0. List the prime factors of q.
5, 17, 113
Suppose -5*s + 13*s + 1416 = 0. List the prime factors of 83485/s*6/(-5).
2, 283
Suppose -25 = -5*v - 4*k + 17, v - 2*k = 0. Suppose 7*p = v*p + 20. Let a = p + -8. What are the prime factors of a?
2, 3
Let d = -45 - -60. Suppose 5 = -j + d. Suppose j*w = 5*w + 345. List the prime factors of w.
3, 23
Suppose -16 = 5*j - 76. Let g(d) be the third derivative of d**5/60 - d**4/4 + 11*d**3/3 + 4*d**2 - 258*d. What are the prime factors of g(j)?
2, 47
Suppose j = 3*r + 129 + 5344, 5*r + 10941 = 2*j. List the prime factors of j.
2, 2729
Let d(z) = z**3 - 6*z**2 + 4*z + 8. Let p be d(5). Suppose i + 3*f - 7*f = 5, p*f + 2 = -i. List the prime factors of (-11 - i)/((-7)/5 - -1).
2, 3, 5
Let s(f) = -f**2 + 15*f - 14. Let b be s(11). Suppose -b*w = -28*w - 3160. What are the prime factors of w?
2, 5, 79
Suppose 0 = -0*d + 7*d + 28. Let a be (2/d*0)/2. Suppose a = 9*g - 3*g - 498. What are the prime factors of g?
83
Let j(x) = -4611*x - 4111. What are the prime factors of j(-12)?
17, 23, 131
Suppose 2002*a - 2058*a = -500416. What are the prime factors of a?
2, 1117
Suppose x = -5*s + 18295, x = 3*s - 5814 - 5171. Suppose -2*y = -14*y + s. List the prime factors of y.
5, 61
Suppose 2967 = 3*u - w - 639, 4*u - 4789 = -5*w. Suppose m = 3*z - u, -2*z - 5*m = -442 - 387. What are the prime factors of z?
2, 3, 67
Suppose 27 = 2*m - 2*a + 7, -3*m = -a - 20. Suppose m*p - 1844 = 121. List the prime factors of p.
3, 131
Let a = -89 - -93. Suppose -2*b + 34 = -a*y, 6*y = -4*b + 4*y + 118. List the prime factors of b.
3
Suppose -17*s + 20748 = -4*s. Let k = -775 + s. List the prime factors of k.
821
Let m(i) be the second derivative of -2/3*i**3 + 0 + i**4 - 4*i - 4*i**2. List the prime factors of m(-4).
2, 5
Let m(j) = 143*j**3 + 5*j**2 + 50*j + 3. What are the prime factors of m(5)?
18253
Let z be (-2)/((6/156)/(22/(-2))). Suppose 2*l + 128 = z. Suppose 3*n = n + l. What are the prime factors of n?
3, 37
Suppose 203*i - 37504 = 1228607. What are the prime factors of i?
3, 7, 11
Let a(x) = -x + 300 - 26*x**2 - 294 + 100*x**2. What are the prime factors of a(-3)?
3, 5
List the prime factors of 41123 + (-57)/(-76)*-28.
2, 20551
Let d be (-18)/(-42) - 44956/(-28). Suppose 2*z + 2*z + 3*b = d, 3*z - 2*b - 1196 = 0. List the prime factors of z.
2, 5
Let k(z) = -2*z + 12. Suppose 81 = -2*j + g, 5*j - 3*g = 2*g - 205. Let l = j - -29. List the prime factors of k(l).
2, 17
Let o(i) = -31*i - 280. Let v be o(-9). Let w(d) be the second derivative of 13*d**4/2 + d**3/2 + d**2 + 2*d. List the prime factors of w(v).
7, 11
Let n(s) = s**3 - 5*s**2 - 32. Let h be n(6). Suppose 3*z + 5*b = 284, -h*z - b + 340 = -4*b. List the prime factors of z.
2, 11
Suppose -3*s + 61482 = 4*m, s - 1989 - 18497 = -4*m. What are the prime factors of s?
2, 37, 277
Suppose 0 = -5*x + 2*x + 6. Let k be x - -3 - 1 - 4. Suppose 2*v + b - 11 = k, -5 = -v + 3*b + 11. What are the prime factors of v?
7
Suppose -3*w = 2*i - 71, -4*w = -i - 56 - 24. Let d be (-2)/7 + (3810/w)/(-2). Let f = -47 - d. List the prime factors of f.
2, 11
Suppose 0 = 4*p + 32*y - 27*y - 12288, -5*p + 5*y + 15315 = 0. What are the prime factors of p?
3067
Let h(l) = 2*l**3 + 5*l**2 + 13*l + 1989. List the prime factors of h(0).
3, 13, 17
Let b = -330 + 218. Let y = 105 - b. List the prime factors of y.
7, 31
List the prime factors of (2/4)/((-4)/(-40464)*3).
2, 3, 281
Suppose -12*w + 113464 - 76608 + 118472 = 0. What are the prime factors of w?
2, 809
Let h be ((-9)/5)/((-8)/160). List the prime factors of (-34 + h)*(197 + 0).
2, 197
Let s(w) = w**3 - 5*w**2 + 14*w - 18. Let y be s(4). Suppose -900 = y*n - 28*n. List the prime factors of n.
2, 3, 5
Suppose x = 4*d - 4, -18 = -4*x - d + 17. List the prime factors of 2/x + (-14202)/(-24) + -4.
2, 3, 7
Suppose z - 24*z - 42847 = -458066. List the prime factors of z.
7, 2579
Let b be 2/(-1) + 28/(-35)*-5. Suppose 2*m - 161 = -5*i, b*m = -2*m + 4*i + 336. What are the prime factors of m?
83
Suppose 29*q = 35*q - 17016. Suppose 0 = 2*w - 47*x + 43*x - q, 2*w - 2*x = 2826. What are the prime factors of w?
2, 11
Suppose -10*r - 9*r = -18031. What are the prime factors of ((r/(-2))/13)/((-2)/12)?
3, 73
Suppose -20*v + 219736 = 13*v + 11*v. List the prime factors of v.
2, 11, 227
Let f = 8 + -3. Suppose 2*m = f*j + 5*m - 5114, -4*j = 3*m - 4093. List the prime factors of j.
1021
Let y = 14445 - 7725. Suppose 5*s + 2*t = y, 0*s = s - 5*t - 1344. List the prime factors of s.
2, 3, 7
Suppose -3*p + 17 = -2*s, 6*p + 3*s = p + 41. Suppose -1786 = -p*r - 12*r. List the prime factors of r.
2, 47
Suppose -7*r + 2*r + 230 = 0. Suppose 0 = r*m - 40*m - 6372. List the prime factors of m.
2, 3, 59
Let k = -17237 - -42136. List the prime factors of k.
7, 3557
Suppose 4*y - 20 = 0, 156*a + 2*y - 374 = 154*a. What are the prime factors of a?
2, 7, 13
Let y(a) = -2*a**3 - 12*a**2 - a - 13. Let s be y(-6). What are the prime factors of (-876 + 4 + s)*5/(-15)?
293
What are the prime factors of ((-7087)/38)/((-2)/124)?
31, 373
Let d(h) = 90*h + 42. Let c be d(3). What are the prime factors of 3 + 0/1 + (c - -1)?
2, 79
Let r(a) be the first derivative of 100*a**3/3 - 4*a**2 + 17*a - 134. What are the prime factors of r(2)?
401
What are the prime factors of 7 + -13 + (-14)/21 + (-62097)/(-9)?
61, 113
Suppose 0 = -43*w + 80*w - 42*w + 81780. What are the prime factors of w?
2, 3, 29, 47
Let t(n) = 48*n + 60. Let z be t(27). What are the prime factors of 2/(((-78)/z)/(-13))?
2, 113
Let b(v) = 45*v**2 + 46*v**2 + 7*v + 41*v**2 - 130*v**2 + 7. Let p(s) = -s**2 + 4*s + 1. Let z be p(5). List the prime factors of b(z).
11
Let j = -5737 - -23507. List the prime factors of j.
2, 5, 1777
Suppose -782 = -l + 120. Suppose 4*k + 282 - l = 0. List the prime factors of k.
5, 31
Let b(m) = 18*m**2 + 22*m + 69. What are the prime factors of b(-22)?
8297
Let k(w) = -2*w**2 + 9*w - 26. Let q be k(8). Let a = 176 + q. Suppose f = -35 + a. List the prime factors of f.
59
List the prime factors of ((-189)/(-36) + 8)/((-1)/(-248)).
2, 31, 53
Suppose -4*g + 3*a + 15413 = 0, 5*a + 15411 = 26*g - 22*g. What are the prime factors of g?
2, 41, 47
Suppose 27565 - 6045 = -16*o. Let a = -741 - o. What are the prime factors of a?
2, 151
Suppose l + 6*h - 2*h = 640, 3150 = 5*l - 5*h. Suppose -l = -0*t - 8*t. What are the prime factors of t?
79
Suppose -2*o + 120 = 4*o. Suppose 46 = 11*u + 35. What are the prime factors of (-88)/o*u*-15?
2, 3, 11
Suppose -5*n = n + 39612 - 101718. List the prime factors of n.
11, 941
What are the prime factors of (-574)/(-21)*765/5?
2, 3, 17, 41
Suppose 3*q + q - 1247 = -3*c, -2*q + 619 = -3*c. Let y = -170 + q. Let u = y + -83. List the prime factors of u.
2, 29
Suppose -d - d - 6 = 0, 2*t - d = -1059. Let w = t + 780. What are the prime factors of w?
3, 83
Let g be -2 - (6 - 2) - 3. Let v be (-1)/g + 0 + 4585/45. List the prime factors of (v - (-6)/6) + 4/2.
3, 5, 7
Let i(b) be the first derivative of -19*b**2/2 + 13*b - 122. Suppose 0 = -p + 3*p + 6. What are the prime factors of i(p)?
2, 5, 7
Let d = -27 + 72. Let h = 205 + d. Suppose 3*v + 4*b = -h + 822, 4*b = 2*v - 408. List the prime factors of v.
2, 7
Let n(j) = 831*