2
Let w(n) be the first derivative of 466*n**3 + 11*n**2/2 + 10*n + 240. List the prime factors of w(-1).
11, 127
Let x = 72 - 154. Let l = -86 - x. Let g(y) = 8*y**2 + 1. What are the prime factors of g(l)?
3, 43
Let m(u) = u**3 - 18*u**2 + 18*u - 50. List the prime factors of m(24).
2, 19, 101
Suppose -9 = 3*m, -n + m = -4*m - 1633. Let k = n - 1111. What are the prime factors of k?
3, 13
Let i(p) = 1283*p - 1640. List the prime factors of i(12).
2, 19, 181
Suppose 4*d = 11*d - 28. Let k be d/(-18) - (-4)/(-18)*-19. Suppose 2*j = 4*j - 2*n - 140, k*n = 20. What are the prime factors of j?
3, 5
Suppose 23*p - 136473 = -18161. List the prime factors of p.
2, 643
Suppose 1334177 + 843193 = 65*g. What are the prime factors of g?
2, 3, 1861
Suppose 0 = 4*d - j - 10 - 12, d = 4*j - 2. What are the prime factors of (-88)/264 + 4940/d?
823
Let a(p) = 9*p**3 + 4*p**2 - 9*p + 6. Suppose -2*u = l + 4, u + 8 = l - 0*u. What are the prime factors of a(l)?
2, 5, 61
Suppose 596 = 3*c - 4*k + 206, 0 = -2*k. Let t be 56/26 - 20/c. Suppose -4*s + 29 = 3*h, s + s + t = 0. List the prime factors of h.
11
Suppose -4*j - 5 = -37. Let i be j - (2/13 - (-120)/65). What are the prime factors of (-3195)/(-54) - 1/i?
59
Let x = -210 + 211. Let y(t) = 407*t**3 + 5*t - 6. What are the prime factors of y(x)?
2, 7, 29
Let q be (-322)/(-1) - ((-20)/(-4) + -7). Suppose -1002 + q = -3*x. List the prime factors of x.
2, 113
Let s(x) = x**3 + 25*x**2 + 6*x - 107. List the prime factors of s(11).
5, 863
Let q be -4*-1*6/4. Suppose -56*r + 7366 + 3834 = 0. Suppose 4*a = q*a - r. What are the prime factors of a?
2, 5
Let z be (-124)/(-30) - (-11)/((-495)/6). Suppose -n + 64 = 2*u - z*n, 3*u + 3*n - 111 = 0. Suppose q - u - 122 = 0. What are the prime factors of q?
157
Suppose -3*j - 5*h = -h - 168, -h = -2*j + 101. Suppose 0 = -2*s - 0*x + 2*x + 30, 2*x = 4*s - j. Suppose 634 = s*o - 1896. What are the prime factors of o?
2, 5, 23
What are the prime factors of ((-13657)/4)/(-14 - (-770)/56)?
7, 1951
Suppose 6*v + 25 = 121. Suppose -v*r + 2901 = -475. What are the prime factors of r?
211
Suppose -5*a + 3*g = 64, 4*a - 3*a + 3*g + 20 = 0. List the prime factors of -123*((-1)/2 + a/12).
5, 41
Let d = 12 - -813. Let y = d + -543. List the prime factors of y.
2, 3, 47
Let v = 20189 + -14323. Suppose -167*n + v = -153*n. List the prime factors of n.
419
Let c(r) = -2*r**2 - 20*r + 4. Let b be c(-10). Suppose -228 = -4*z + 5*g, -6*g + 9*g - 260 = -b*z. List the prime factors of -2 + (z - -3) + 3.
2, 3, 11
Let s be (-26)/(-3)*-1 + (-52)/(-78). What are the prime factors of 4268/32 + 3/s?
7, 19
List the prime factors of (20/150)/(10/3050)*(-237)/(-2).
61, 79
Let o(f) = 782*f**3 - 2*f**2 - 2*f + 3. Suppose -6*s + 8 = 2*s. What are the prime factors of o(s)?
11, 71
Let f = -64 - -99. Let n = f + -35. Suppose -3*h + 3*o + 222 = -n*h, -5*h = -3*o - 374. List the prime factors of h.
2, 19
Suppose 67*g + 316*g = 28592099. What are the prime factors of g?
74653
Let s = 7 - 7. Suppose s = -4*p + 4*a + 380, 3*a = -3*p + a + 290. List the prime factors of p.
2, 3
Let v(w) = w**2 + 9*w + 1. Let u be v(-9). Let b be 4 + (-2)/u + -2 + 7. Let o(p) = 25*p - 18. What are the prime factors of o(b)?
157
Suppose 3026 - 331 = 3*c + 2*q, 5*c + 4*q = 4493. Suppose 30*o + c = 31*o. List the prime factors of o.
3, 13, 23
Let g(j) = 93*j**3 - 26*j**2 + 184*j - 56. List the prime factors of g(6).
2, 5, 101
Suppose -122*f + 76022 = -165294. List the prime factors of f.
2, 23, 43
Let b(w) = -3*w**3 - 9*w**2 - 9*w - 17. Let n be (-35)/6 - (-15)/(-90). What are the prime factors of b(n)?
19
Let j be 12*((-105)/(-14) - 4). Suppose s + j = l, s + 178 = 4*l - s. List the prime factors of l.
47
Let m = -36088 + 50754. List the prime factors of m.
2, 7333
Let v = 91 - 47. Suppose z - 3*j - 2*j - 69 = 0, 4*j = -4. Let d = z - v. List the prime factors of d.
2, 5
Suppose -5*t + 16844 = -5811. List the prime factors of t.
23, 197
Let j(s) = 9*s**2 - 7*s - 110. Let l(f) = -26*f**2 + 19*f + 329. Let u(y) = -8*j(y) - 3*l(y). List the prime factors of u(-16).
5, 17
Let q(i) = 462*i + 2594. What are the prime factors of q(55)?
2, 7001
Let f = 14805 + 2215. List the prime factors of f.
2, 5, 23, 37
Let z(o) = -5*o**2 + 3*o + 60496. List the prime factors of z(0).
2, 19, 199
Suppose 0 = 32*x - 3*x - 696. What are the prime factors of ((-1160)/x)/(3/(-54))?
2, 3, 5, 29
Let x(c) = 5*c**3 - 2*c**2 - 2*c + 15. Let l(w) = -w**3 - 7*w**2 - 10*w + 3. Let m be l(-5). List the prime factors of x(m).
2, 3, 7
Suppose 161 = -5*b + 41. Let p(x) = x**3 + 24*x**2 - 2*x + 2. Let u be p(b). Let q = 159 - u. List the prime factors of q.
109
Suppose 255*m + 688 = 271*m. Suppose -24*o = -m*o + 9633. List the prime factors of o.
3, 13
Let j be -3 + (-4 - -5 - -188). Suppose 0 = 2*x + x - 21. Suppose 4*m - 160 = -2*z, -x*m + 2*m + z + j = 0. What are the prime factors of m?
2, 19
Let b(d) = -d + 5. Let x = 15 + -11. Let a be b(x). Let k(z) = 45*z + 3. What are the prime factors of k(a)?
2, 3
Suppose -p = 2*g - 12782, 6*g = -p + 37462 + 876. List the prime factors of g.
6389
Let b(i) = 2*i**3 + 181*i**2 + 702*i - 172. List the prime factors of b(-86).
2, 5, 7, 43
Suppose -4*u + 36 = 5*i, -2*i = 3*i + 3*u - 37. What are the prime factors of (-4)/(i/(-1926)) - 3?
2, 3, 5
Suppose 2*n = -7*n + 81. Let y be n + (0 - -4)/(-1). Suppose -y*p - 2*k + 185 = -4*k, -4*k - 97 = -3*p. List the prime factors of p.
3, 13
Suppose -2*a + 1 = m, 19 = m - 34*a + 30*a. What are the prime factors of m/14 - (-1 + (-1042)/4)?
2, 131
Let q(y) = 6579*y + 67. What are the prime factors of q(1)?
2, 3323
Suppose -10 = y - 13. Suppose -3*k + 0*k = -y. What are the prime factors of k*(2 - 0 - -71)?
73
Let z = -2826 + 7092. List the prime factors of z.
2, 3, 79
Suppose -2*f + 613690 = 33*f. What are the prime factors of f?
2, 11, 797
Let l = -2935 + 7032. List the prime factors of l.
17, 241
Suppose 31075 = -15*g + 43404 + 63931. List the prime factors of g.
2, 31, 41
Suppose 3*o + 3*p - 1864 = 2216, -2*o + 2720 = 4*p. Suppose -2*g = 2*m - 1266 - 94, o = 2*m - 3*g. What are the prime factors of m?
2, 5, 17
Let c(x) = 103*x - 115. List the prime factors of c(23).
2, 7, 23
Let i = -55 + 59. Suppose -i*s + 7*s - 3 = 0, 0 = 5*w + 4*s - 2029. List the prime factors of w.
3, 5
Let a be (-70)/(-21) - (-10)/15. Suppose a*k - 591 = -2*d + 59, -2*k = -3*d - 329. What are the prime factors of k?
163
Suppose 0 = -v - 11*v + 264. List the prime factors of 8/(-44) - (-11686)/v.
3, 59
Suppose 2*m + 3*i = 6*m - 3700, 3*m - 3*i - 2775 = 0. Let u = 1323 - m. List the prime factors of u.
2, 199
Let l(w) = w**3 + 12*w**2 - 9*w - 3. Suppose -26 = 2*h + 4*p, p = 6*h - 5*h + 10. What are the prime factors of l(h)?
7, 31
Let p(n) = n**2 + 10*n - 6. Let q be p(-4). What are the prime factors of (-2 - q/(6 + -3))*77?
2, 7, 11
Let s(r) = -r**3 - 15*r**2 - 16*r - 22. Let h be s(-14). Suppose 2*p = -2*f, -4*p - 1 = 2*f + 5. List the prime factors of f + 167 + -2 + h.
2, 3, 29
Let s = 181 - 173. Suppose -9*l - 5*b + 249 = -s*l, -5*b + 483 = 2*l. What are the prime factors of l?
2, 3, 13
Suppose 0 = 15*s - 29761 - 26549. List the prime factors of s.
2, 1877
Let f = -1842 + 1905. Suppose -b + 0*b = 39. Let q = f + b. What are the prime factors of q?
2, 3
Suppose 4635 = 5*a - 3020. Let b = a + -634. What are the prime factors of b?
3, 13, 23
Suppose -66*n - 267924 = -232*n. List the prime factors of n.
2, 3, 269
Suppose 10 - 7 = p. Suppose 0 = -p*m + 8*m - 150. Suppose 5*k - m = 315. What are the prime factors of k?
3, 23
Suppose 2*o + 857 = 3*u - 809, 0 = u - o - 554. Suppose 5*v - 4*l - 20 = u, 2*l = 6. List the prime factors of v.
2, 59
Suppose -28*x = 57*x - 4088925. List the prime factors of x.
3, 5, 1069
Suppose 15*i + 3*d + 10570 = 20*i, 10 = 2*d. What are the prime factors of i?
29, 73
Let j be 11805/(-21) + -2 - (-4)/28. Let q = 1038 + j. What are the prime factors of q?
2, 3, 79
Let c = 89 + -86. Let o(q) = 44 - q**c + 21*q + 14*q**2 - 29 + 0*q**3. List the prime factors of o(15).
3, 5, 7
Let b(i) = 9*i**3 - 76*i**2 - 62*i + 98. List the prime factors of b(21).
7, 6947
Let j = 37 - 37. Suppose -4*a = -2*n - 116, j*n - 190 = 3*n - 2*a. List the prime factors of n/(-8) - (-5)/(-40)*-6.
3
Suppose 25 = -11*i