15.
2, 17
Suppose -6*u + u = 4*r + 46, 0 = 2*r - 2. Let c(p) be the first derivative of p**4/4 + 10*p**3/3 - p**2/2 + 13*p - 9. What are the prime factors of c(u)?
23
Let r(d) = -6*d + 2. Let p = -8 - 2. Let c be r(p). Suppose 4 = -f + n + 28, -3*f + c = -n. List the prime factors of f.
19
Let k = 293 + -196. Suppose -5*a - 88 = k. Let u = -19 - a. What are the prime factors of u?
2, 3
Let q(j) = j**2 - j + 3. Let i be q(0). Suppose -i*u + 55 = 4*k, 4*u - 100 = -u - 5*k. List the prime factors of u.
5
Let f(w) = 2*w - 11. Let p be f(8). Suppose y - 2*v = -0*y + 45, -207 = -p*y + v. Let u = y - 28. List the prime factors of u.
13
Let t(u) = -36*u + 3. Let z(p) = -71*p + 6. Let s(w) = -11*t(w) + 6*z(w). Let n = -145 - -144. List the prime factors of s(n).
3, 11
Let z(o) = -o**3 - o**2 + o + 23. Let h be z(0). Suppose 2*c + 2*c - 26 = -3*v, 3*c = -4*v + h. Suppose -3*f + c*f = 68. List the prime factors of f.
2, 17
Suppose -12*t + 93 + 75 = 0. Suppose 11*v - t*v + 222 = 0. List the prime factors of v.
2, 37
Suppose q - 3*q + 422 = 3*z, 8 = -4*q. Suppose 3*m = -2*c + z, -5*m + 0*c = c - 239. What are the prime factors of m?
2, 3
Let n = 81 + -80. Let j(l) = 3*l**2 - 4*l**2 + 23*l**3 - 2 + l + 1. What are the prime factors of j(n)?
2, 11
Suppose 6*q = 412 + 542. What are the prime factors of q?
3, 53
Let d be (-3 + 0)*5/((-15)/(-448)). List the prime factors of (2/4)/(((-7)/d)/1).
2
Let m = -18 - 20. Let y = 43 + m. List the prime factors of y.
5
Suppose 7*n + 20 = 11*n. Suppose -n*q + 68 + 517 = 0. What are the prime factors of q?
3, 13
Suppose -11 - 4 = -5*q. List the prime factors of (4/6)/(2/801*q).
89
Suppose -4*j = -2*u + 24, 2*u - 27 = j + 3. What are the prime factors of 6/u + (-1677)/(-8)?
2, 3, 5, 7
Let r(p) be the second derivative of p**5/20 + 3*p**4/4 - 7*p**3/6 + p**2 + 9*p. List the prime factors of r(-9).
5, 13
Let t be (4*2)/((-6 + 5)*-2). Let o = t - -53. List the prime factors of o.
3, 19
Let t(g) = 211*g**3 + g**2 + g. Let v be t(-1). Let p = v + 444. What are the prime factors of p?
233
What are the prime factors of 45500/75 + 3/(18/(-4))?
2, 3, 101
List the prime factors of 382 + -1 + -1 - 0 - -6.
2, 193
Suppose 4*d - 2088 = -2*k, -2*k = 5*d + 421 - 2512. What are the prime factors of k?
2, 3, 173
Let f be (3 + 0)/((-10)/(-10)). Suppose 0 = -5*n - 10, 22 = f*g - 7*n + 2*n. What are the prime factors of (2/g)/((-9)/(-576))?
2
Let h = 456 - -122. Suppose 0*g = -17*g + h. What are the prime factors of g?
2, 17
Suppose 11*n = 6*n - 195. Let m be n - (2 + -2 + -1). Let y = m + 63. List the prime factors of y.
5
Let i(v) = 2*v + 5. Let l be i(6). Let r = l + -16. What are the prime factors of ((0 + -3)*-8)/r?
2, 3
Let m(g) = -3*g**3 + g**2. Suppose u + 3*u = 4. Let t be m(u). List the prime factors of (t/(-6))/((-2)/(-36)).
2, 3
Let z(r) = 2*r**2 + 4*r + 26. List the prime factors of z(-14).
2, 181
Suppose -7*r + 4310 = 3*r. List the prime factors of r.
431
Let j(f) = -f - 3. Let b be j(-3). Suppose b = 4*c + 4*a + 4, -a - 3 = 2. Suppose -5*t + 6 = 2*m + m, c*m - 2*t = 34. List the prime factors of m.
7
Suppose 2*x = 5*d + 35, 0 = 3*x - 3*d + 16 - 46. Suppose i = -x*y + 32, -y + 4*y + 36 = 4*i. List the prime factors of i.
2, 3
Suppose 6*g - 3349 = 12341. List the prime factors of g.
5, 523
Let o(w) = -2*w**3 + 10*w - 25. List the prime factors of o(-7).
3, 197
Suppose 2*c + 4 - 2 = 0, 0 = -h + 3*c + 3. Let l(b) = -23*b + 189. Let w be l(8). Suppose w*r - 167 = q, 5*q + h*q = 4*r - 142. List the prime factors of r.
3, 11
Suppose -66 = 10*z - 16*z. Let w(c) be the third derivative of c**4/8 - 4*c**3/3 - 3*c**2. What are the prime factors of w(z)?
5
Let t(p) = p**2 - 2*p - 8. Let q = -17 + 10. Let a be t(q). Let d = a - 31. List the prime factors of d.
2, 3
Suppose 259 + 4249 = 2*b. What are the prime factors of b?
2, 7, 23
Suppose -5*c + i + 6978 + 583 = 0, -2*c - 3*i = -3021. What are the prime factors of c?
2, 3, 7
Suppose -19927 = -10*s - 8017. What are the prime factors of s?
3, 397
Let i = 2975 + -1358. What are the prime factors of i?
3, 7, 11
Let d(q) = 2*q**2 - 5*q - 3. Let h be d(4). Let r = h + 34. What are the prime factors of r?
43
Suppose -k + 6*k = 4*w - 10, 5*w - 31 = -3*k. Suppose -5*m = -k*m. Suppose -70 = -m*j - 2*j. What are the prime factors of j?
5, 7
Let q = -191 - -274. Let k = 171 - q. Let n = -48 + k. List the prime factors of n.
2, 5
Suppose -z - 3*k = 29, -3*z - k + 0*k = 71. What are the prime factors of (z/(-2))/((-1)/(-2))?
23
Let s(o) = 127*o**2 - 5*o + 7. List the prime factors of s(-3).
5, 233
Let r(p) = -46*p**3 + p**2 - 23*p - 49. List the prime factors of r(-3).
31, 41
Suppose 22*y - 36049 = -35. What are the prime factors of y?
1637
Let w = 1334 + 793. List the prime factors of w.
3, 709
Let a be (-3 - 2/6)*3. Let p = a + 3. Let y(r) = r**2 + 2*r - 8. What are the prime factors of y(p)?
3
Let w(v) = -v**3 + 7*v**2 + 20*v - 5. What are the prime factors of w(9)?
13
Let q = 30 - 30. Suppose -2*x - 3*x + 410 = q. Let n = -23 + x. List the prime factors of n.
59
Suppose -120 - 114 = -3*x. List the prime factors of x.
2, 3, 13
Let y = 681 - 471. List the prime factors of y.
2, 3, 5, 7
Suppose 12*y = -25*y + 10989. What are the prime factors of y?
3, 11
Suppose -3*m - 5*i + 36 = 123, 36 = -2*m + 4*i. Let q = -12 - m. Let v = -5 + q. What are the prime factors of v?
7
List the prime factors of 4/22 - (-4279737)/847.
31, 163
Let y = -8 - 1. Let b = 12 + y. Suppose b*i + 8 = 7*i. List the prime factors of i.
2
Let h(j) = j**2 - 12*j - 2. Let g be h(12). Let a be (48/84)/(g/(-7)). Suppose a*z - 5*z + 33 = 0. What are the prime factors of z?
11
Let n = 30 - -75. Suppose 65 = 2*y - n. List the prime factors of y.
5, 17
List the prime factors of (-677)/(1*(-3)/12).
2, 677
Suppose 4*r + 25 - 37 = 0. Suppose -273 = -2*f - r*s, 5*f + 11*s = 8*s + 660. What are the prime factors of f?
3, 43
Let n(u) = u**3 - 8*u**2 - 5*u - 9. Let c = 10 - 8. Suppose -c*l - 45 = -7*l. List the prime factors of n(l).
3
Suppose -4*t + 5*a = -19456, 39*t - 14619 = 36*t - 3*a. List the prime factors of t.
3, 541
Let l(d) = 6*d**2 - 20*d - 6. What are the prime factors of l(11)?
2, 5
Suppose -5*m + 3*v = 0, -4*m + 16 = v - 1. Suppose x + m*h = 81, -h = 2*x - 2*h - 127. What are the prime factors of x?
2, 3, 11
Suppose 96 + 0 = -3*j. Let r be (1 - 115)*13/(-26). Let t = r + j. What are the prime factors of t?
5
Let c be 4 + 4 + (-3)/1. Let g(u) = -u - 1. Let z(f) = 16*f + 2. Let q(m) = c*g(m) + z(m). List the prime factors of q(5).
2, 13
Suppose -7 = 5*l - 4*p - 31, 15 = 5*l + 5*p. Suppose 0 = 3*t - 4*g - 26, -5*g = l*t - 109 + 33. Suppose -4*d + 58 = -t. List the prime factors of d.
2, 3
Let o be (40/24)/((-1)/(-3)). Suppose -81 = -o*g - 21. What are the prime factors of 63/g*(3 + 1)?
3, 7
Suppose 2 - 7 = d - 2*r, -4*d - 42 = 3*r. Let s(t) = -2*t**3 - 10*t**2 + 2*t. Let q be s(d). List the prime factors of 4/(-26) - q/(-39).
2
List the prime factors of (5/(-3))/(135/(-20898)).
2, 3, 43
Let y = 890 + 11. List the prime factors of y.
17, 53
Let r = -21 - -12. Let d = r + 23. Suppose -a + 0*a = -d. List the prime factors of a.
2, 7
Suppose -3*q = 3*p - 1878, -2*q + 636 + 626 = 4*p. What are the prime factors of q?
3, 23
Suppose 2*r + 5*y = r + 8, 2*y + 2 = 0. Let p(b) = b**2 - 2*b + 7. List the prime factors of p(r).
2, 3, 5
Suppose -10389 = -6*g - 1461. List the prime factors of g.
2, 3, 31
Suppose -1020 = -i - 3*i. Let q be i + -2*(2 + -1). Suppose -5*o - 164 = -3*u, 4*u + 38 = 3*o + q. What are the prime factors of u?
53
Let a(z) = -2*z**3 - 2*z**2 - 5. Let x(c) = c**3 - 5*c**2 + 3*c + 2. Let u be x(4). Let i be 0 + (3 - 4) + u. What are the prime factors of a(i)?
31
Suppose -2*l = -4*j - l + 9, -j + 5*l + 26 = 0. Suppose j + 7 = 4*i. Suppose -v - i*v + 48 = 5*m, 3*m + 3*v = 30. List the prime factors of m.
3
Let f = -8 + 11. Let r be (198/55)/((-6)/20). What are the prime factors of 20 - (r/f + 7)?
17
Let k(q) = 57*q - 67. Let t be k(6). Let v = t + -109. List the prime factors of v.
2, 83
Suppose -14*s = -13*s - 37. Suppose -25 = -r + 2*r. Let g = s + r. What are the prime factors of g?
2, 3
Let n(z) be the first derivative of -11*z**2 + 8*z - 5. Let a(j) = 11*j - 4. Let m(f) = 9*a(f) + 4*n(f). What are the prime factors of m(7)?