3
Let b be (-2 - -4) + (-2 - -3). Suppose 3*j + 8*p = 3*p + 20, -5 = -5*p. Suppose b*m + 24 = j*m. What are the prime factors of m?
2, 3
Let f(o) = -2*o + 14*o - 2*o**2 + o**2. What are the prime factors of f(5)?
5, 7
Suppose -5*a = -3*a. Suppose -g + 0*d = 5*d + 11, a = d + 3. Suppose 5*r = -5*i, 0 = g*r - 3*i - 24 + 3. What are the prime factors of r?
3
Let c be ((-2)/(-4))/((-2)/(-16)). Suppose -35 = -c*f + 1. What are the prime factors of f?
3
Let a be 289/5 + (-6)/(-30). Let x = a + -33. What are the prime factors of x?
5
Let w(d) = 9*d + 2. What are the prime factors of w(5)?
47
Suppose -3*m + 74 + 165 = 2*v, -v = m - 81. What are the prime factors of m?
7, 11
Let g(f) = -5*f + 19. Let q(k) = 2*k - 6. Let o(y) = -2*g(y) - 7*q(y). What are the prime factors of o(-3)?
2
Let t = -2 - -27. Suppose -t - 95 = -u. List the prime factors of (-1)/(-5) + u/25.
5
Suppose -4*q = -4*s - 5 - 15, -2*s = -q + 6. Let h(d) = 5 - q + 8*d - 6. What are the prime factors of h(3)?
19
Let b be 112/3 + 5/(-15). Suppose -5*j + 2*a + b + 48 = 0, -5*j - 2*a + 105 = 0. List the prime factors of j.
19
Let i(u) = -u - 9. Let k be i(0). Suppose 2*y - 3*b = 19, 2*b + 0 = -2. What are the prime factors of 66/y - k/12?
3
Suppose 12 = -3*l, -2*v - 168 = -6*v + 5*l. Let y = -20 + v. List the prime factors of y.
17
Let p(s) = -7*s**3 + s**2 - 1. Let i be p(-1). Suppose -11 = -4*w + x, w - 2 = 2*x - x. Let b = i - w. List the prime factors of b.
2
Suppose 68 = 4*i - 5*h, -62 = -4*i + 4*h + 2. Let l = i - 10. List the prime factors of l.
2
Suppose 0 = -7*n + 5*n + 74. List the prime factors of n.
37
Suppose -4*s + 57 = 3*q - 0*s, -5*q - 5*s = -95. Suppose 3*n - 2*n - q = 0. Let g = 28 - n. What are the prime factors of g?
3
Let r(t) be the first derivative of t**4/4 + t**3 - 2*t**2 - 2. What are the prime factors of r(-3)?
2, 3
Let q(i) = -i + 1. Let r be q(-1). Suppose 2*b - 8 = -4*l - 2*b, b = -r. List the prime factors of l.
2
Let a = -1 + -3. Let b be (-1)/a - (-22)/8. Suppose -2*r = -2*y + 16, 3*y = b*r - r + 22. What are the prime factors of y?
2, 3
Let g be 16/3 - (-4)/6. Let o(a) = -a**2 - 5*a + 4. Let z be o(-6). Let y = z + g. List the prime factors of y.
2
List the prime factors of 2/6 + 184/6.
31
Suppose -4*s - 4*i = 0, 3*s + 2*s + 4*i - 3 = 0. Suppose n + 23 = 2*u, -2*u = u + s*n - 48. List the prime factors of u.
13
Let v be (-25)/9 - (-4)/(-18). List the prime factors of 168/9 - 1/v.
19
Let w = -54 + 107. List the prime factors of w.
53
Let l = 12 + -9. Suppose -3*x + 51 = l*v, x - 3*x - 56 = -3*v. List the prime factors of v.
2, 3
Let m(o) = o**3 - 2*o**2 - 5*o + 2. List the prime factors of m(4).
2, 7
Let u(w) = 9*w**3 + 2*w**2 - 2*w + 1. Let l be 26/10 - (-2)/5. Suppose 0*i = -l*i + 3. What are the prime factors of u(i)?
2, 5
Let w(a) = a. Let u(l) = -l - 5. Let p(r) = u(r) - w(r). List the prime factors of p(-12).
19
Suppose 333 = 4*r - 71. List the prime factors of r.
101
Suppose -22 + 58 = 2*k. What are the prime factors of k?
2, 3
Suppose -2*r + 682 = 224. What are the prime factors of r?
229
Suppose 5*o = 20, 2*o = -p + 6*p + 8. Let k = 139 + -80. Suppose 4*t + 7 - k = p. List the prime factors of t.
13
Suppose 5*x + 449 + 635 = 3*v, 5*v - 644 = 3*x. What are the prime factors of x/(-10) - 3/(-15)?
2, 11
Let b(i) = 8*i + 3. Let g = -8 - -12. What are the prime factors of b(g)?
5, 7
Suppose -3*o + 1 = i - 0, -2*i = 4*o. List the prime factors of (-1)/((-30)/27 + o).
3
Suppose -292 = 4*l + 184. Let u be (-58)/6 - (-2)/3. List the prime factors of l/u - 4/18.
13
Let v(l) = 3*l**2 + l + 1. Let n be v(-1). Let u(y) = -y**3 + 6. Let k be u(0). Suppose 2*g - 11 = -n*m, -g = 2*m + g - k. List the prime factors of m.
5
Suppose 6*r = -4*b + 3*r - 47, -3*b - 39 = r. List the prime factors of 1*-4 - (-33 - b).
3, 5
Let p(c) = -c - c**3 - c**2 + 2*c + 0*c**2. Let n be p(-2). Suppose -5*u + 8 = -n. What are the prime factors of u?
2
Let j = 1185 - 808. What are the prime factors of (j/(-26))/((-2)/4)?
29
Let i = -11 + 16. Suppose 6*z - 4*z + 10 = p, 0 = i*p + 3*z + 2. Suppose -p*x = -0*x - 4. What are the prime factors of x?
2
Suppose 0 = -3*s - a + 5, -s = -a + 3*a. Suppose 2*p - 4*p - 22 = -2*l, 10 = 2*l + s*p. Suppose -83 = -5*u - l. List the prime factors of u.
3, 5
Suppose -2*c = -3*c - 14. List the prime factors of 946/77 + 4/c.
2, 3
Suppose 5*r - 5*x = 30, -16 = -0*r - 3*r + 4*x. Suppose 3*c + 0*w - w - 10 = 0, 0 = 2*w + r. What are the prime factors of c?
2
Let v = 93 - 53. List the prime factors of v.
2, 5
Suppose -7*p - 50 = 5*r - 2*p, 0 = -p - 3. Let s = r + 14. Let g(u) = u**2 - 5*u - 4. What are the prime factors of g(s)?
2, 5
Let c(k) = k**3 - k**2. Let p be c(2). Suppose 0 = 3*u - 91 + p. What are the prime factors of u?
29
Suppose 785 = 8*v - 1311. What are the prime factors of v?
2, 131
Let y(k) = k**3 + 7*k**2 + 5*k - 2. Let l be y(-6). Suppose -l*u + 98 = -54. Let g = u + -27. List the prime factors of g.
11
Let p be 5*((-38)/(-5) - 2). Suppose -5*b = 3 - p. Suppose -3*f - i + 28 = 0, -6 = -b*f - 4*i + 36. What are the prime factors of f?
2, 5
Let u = 112 + -54. List the prime factors of u.
2, 29
Let s(i) = -i**2 + 10*i - 8. Let c = 1 + 6. List the prime factors of s(c).
13
Let o(i) = i**3 - i**2 + i + 2. Let b be ((-12)/21)/(4/(-14)). Suppose 3*a + 3 = 3*s, -2 = -b*s + a + 1. List the prime factors of o(s).
2
Let k(g) = -g**3 - 5*g**2 + 3*g - 7. Let s = -15 - -9. List the prime factors of k(s).
11
Let s(j) = 16*j + 1. Let l be s(1). Let r be (-6)/(-4)*280/(-42). Let d = r + l. List the prime factors of d.
7
Suppose -1471 + 4240 = 13*g. List the prime factors of g.
3, 71
Let d(q) = q**3 + 3*q**2 - 2*q + 2. Let o be d(2). Suppose i = -5*h + 6, 6*i = 3*i + 5*h + o. Let x = -4 + i. What are the prime factors of x?
2
Suppose -7*o - 133 = -1589. List the prime factors of o.
2, 13
Let n be (-24)/(-3) + 3*-1. Suppose a - 5 = 5*s, -s - a = -2*a + n. Suppose 3*f + 0*f + 12 = t, s = -2*f + 2. What are the prime factors of t?
3, 5
Suppose 6*x - 2*x + 116 = 0. Let f = -11 - x. What are the prime factors of f?
2, 3
Let o be 45/12 + (-2)/(-8). Suppose 0 = 2*v + 2, -2*w + o*w - 5*v - 9 = 0. List the prime factors of w.
2
Suppose -13 + 4 = -3*q. Let o(t) = -t**2 + 8*t + 4. Let h be o(8). Suppose -p + 5 = l, h = -7*l + q*l. List the prime factors of p.
2, 3
Suppose s - 97 - 120 = 0. What are the prime factors of s?
7, 31
Let m = 9 + -15. Let l = m + 11. Suppose g = l - 2. What are the prime factors of g?
3
Suppose -11 - 3 = -2*k. Let b = -3 + k. List the prime factors of b.
2
Let g = 78 + -54. What are the prime factors of g?
2, 3
Suppose 5*q + 13 = -2, 0 = 3*l + 2*q - 381. List the prime factors of l.
3, 43
Suppose -3*s + 15 + 9 = 0. Let d = s - 6. What are the prime factors of (d - 2) + (2 - 0)?
2
Suppose -4*k = 2*s + 3*s - 115, -5*s + 4*k = -115. Let j = -15 + s. What are the prime factors of j?
2
Suppose 2*f + 5*s = 263, 4*s = f - 114 + 15. Suppose -5*m + 130 = -2*r, -4*r - f = -3*m - 41. List the prime factors of m.
2, 13
Suppose -5*q + 3 = 5*k - 32, -4*k + 3*q + 7 = 0. Suppose 0 = -3*u + 4*u + k. Let b = 6 + u. What are the prime factors of b?
2
Let j(l) be the second derivative of 7*l**5/20 - l**3/6 + l**2/2 + l. Suppose 4*s + 19 = 3*a, -7*a - s = -3*a. List the prime factors of j(a).
7
Suppose -79 = -6*m - 1. What are the prime factors of m?
13
Suppose -7*t + 0*t = -1750. What are the prime factors of t?
2, 5
Let h(o) = 3*o**3 + 3*o**2 - 5 - 3*o**2 + 6 - 2*o. Let x be h(1). Suppose g - 4 = x. List the prime factors of g.
2, 3
Let h(j) = j**2 + 4*j. Let f be h(-3). List the prime factors of (16/6)/((-1)/f).
2
Let l(d) = -d + 13. Suppose -f + 0*f = 3*k, -2*k = -5*f. Suppose 10 = -5*b - k*b, -p + 17 = -4*b. What are the prime factors of l(p)?
2
Let h(u) = -14*u - 7. What are the prime factors of h(-6)?
7, 11
Suppose -4*o + 27 - 3 = -2*p, -3*o = -p - 19. What are the prime factors of o?
7
What are the prime factors of 6/39 + 14095/65?
7, 31
Suppose v = 2*v - 5. Suppose -v*j + 12 = -8. Suppose s + 3 = 4*s - 3*u, 0 = -s + j*u - 5. What are the prime factors of s?
3
Suppose -1243 = -9*t + 107. List the prime factors of t.
2, 3, 5
Suppose -5*t + 4*a = 2*a - 6, 4*a + 12 = 3*t. Suppose t = y - 6*y + 150. Suppose 3*q - y = -0*q. List the prime factors of q.
2, 5
