3
Let o(j) = 87*j**2 + 4*j + 5. Suppose -2*d + 2 = 4. List the prime factors of o(d).
2, 11
Suppose 0 = m + 1 - 3. Let g be (1/2)/(m/76). Let y = g + 5. List the prime factors of y.
2, 3
Let h(t) = 7*t**2 - 6*t - 5. Let d(c) = -20*c**2 + 18*c + 16. Let u(j) = -4*d(j) - 11*h(j). What are the prime factors of u(6)?
3, 7
Let a = -35 + 38. Suppose -a*j = 3*j - 12. Suppose f - 3*w = j*f - 41, 0 = 4*w + 16. What are the prime factors of f?
53
Suppose 17*f - 2440 = 7*f. Suppose 2*y + 4*q = 8*q + f, y - 3*q = 125. What are the prime factors of y?
2, 29
Let o = -26 + -107. Let p = 192 + o. Let l = p - 31. List the prime factors of l.
2, 7
Suppose -i - 9 + 14 = 0. Suppose 2*c - 5*r = 292, -3*c + c - i*r + 272 = 0. List the prime factors of c.
3, 47
Let h = 15 + -9. Suppose h*o = 2*o + 288. List the prime factors of o.
2, 3
Suppose -2*o + 5*o - 67 = -4*k, o - 25 = -4*k. Let t = o - -3. List the prime factors of t.
2, 3
Let l = -5 + 7. Let t = 19 - 19. Suppose 62 = -t*g + l*g. List the prime factors of g.
31
Let z(a) = 84*a**2 + a - 1. Suppose -7*c + 4*c + 3 = 0. What are the prime factors of z(c)?
2, 3, 7
What are the prime factors of (-2198)/(-8) + (-18)/(-72)?
5, 11
Let m(s) be the first derivative of -3*s**2/2 + 10*s - 1. Let b be m(8). Let u = 72 + b. List the prime factors of u.
2, 29
Let i = 7 - 5. Suppose i*l - 13 + 5 = 0. Suppose 0 = -l*h + 5*h - 18. What are the prime factors of h?
2, 3
Let s(t) = -t**2 - 18*t + 12. Suppose 49 = -4*l + v, -v - 22 = 2*l + v. List the prime factors of s(l).
2, 3, 7
Let y(f) = 84*f**2 + 2*f + 1. What are the prime factors of y(2)?
11, 31
Let c be 1600/24 - 2/3. Let m be c/15 - (-12)/(-30). Suppose -m*i = 2*n - 7*n - 289, -279 = -4*i + 3*n. What are the prime factors of i?
2, 3, 11
Suppose 5*m = 4*g - 0*g - 6455, 0 = -g + 3*m + 1605. Suppose 13*p - g + 320 = 0. List the prime factors of p.
2, 5
Let k(t) = 4 - 2 - 3 + 78*t + 2. What are the prime factors of k(1)?
79
Let l = -510 - -359. Let v = l - -367. List the prime factors of v.
2, 3
Let l = -19 + 15. What are the prime factors of 87 - (7 + l)*-1?
2, 3, 5
Suppose 0 = 6*o - 5297 - 10105. List the prime factors of o.
17, 151
Let w(t) = 6*t - 2 - 8 + 1 + 2 - 5*t**2 + t**3. Let s(k) = k**3 - k - 1. Let a be s(2). List the prime factors of w(a).
23
Let o(m) be the first derivative of 5*m**2 - 12*m - 5. What are the prime factors of o(8)?
2, 17
Suppose -k = 2*k + 2*h - 12, 18 = 2*k - 2*h. Suppose 2*p - 8 = -0*p. List the prime factors of (-6 - k)/((-3)/p).
2
Suppose 56*p - 58*p + 8 = 0. Suppose -p*h = -l - 244, h = -3*h - l + 252. List the prime factors of h.
2, 31
Let x(q) = -q**3 - 19*q**2 - 18*q. Let h be x(-18). Suppose h*c = 4*c - 60. List the prime factors of c.
3, 5
Suppose -2*f - 725 = -3189. List the prime factors of f.
2, 7, 11
Let r(u) = -3*u + 127*u**3 + 6 + 8*u**2 - 128*u**3 + u. List the prime factors of r(5).
71
Let d(c) = 154*c**2 + 14*c - 27. List the prime factors of d(2).
617
Let v(d) = -d**2 + 6*d - 5. Let r(n) = n**2 - n + 1. Let p be r(1). Suppose 2*g - p = 7. List the prime factors of v(g).
3
Suppose 27*j - 1432 = 25*j. List the prime factors of j.
2, 179
Let a = -2411 - -6159. What are the prime factors of a?
2, 937
Suppose 2*d - 150 = 7*d - 2*z, -5*d - 150 = 4*z. What are the prime factors of (18/d)/(2/(-430))?
3, 43
Let c = 43 + 0. Let w be -4 - (0 + -1) - c. Let p = 66 + w. What are the prime factors of p?
2, 5
Let v(g) = -g**3 - 25*g**2 + 64*g + 18. What are the prime factors of v(-29)?
2, 7, 109
Let x(f) = -4*f - 3. Let n(w) = -w + 2. Let v be n(-6). Let y be (v/10)/((-2)/10). What are the prime factors of x(y)?
13
Let w(u) = -42*u. Let q be w(1). Let f be q/(-10) + 9/(-45). Suppose -7 - 9 = -f*o. What are the prime factors of o?
2
Suppose 0*i - 5*j + 16 = 2*i, -12 = -2*i - 3*j. Let y = 1 - i. Let w = y - -13. List the prime factors of w.
11
Let a(y) = y**2 - 28*y + 21. Let q(f) = 3*f**2 - 85*f + 62. Let x(k) = 11*a(k) - 4*q(k). List the prime factors of x(19).
2, 5, 23
Suppose -5*q + 0*q = 10. Let n(f) = -2*f**2 + 6*f**2 + 5 - 3. List the prime factors of n(q).
2, 3
Let w be 2/4 - (-24)/16. Suppose -5*b + 4*z + 0 = -8, w*z = -4. Let h = 16 + b. What are the prime factors of h?
2
Let s be 7 + (-5 - 8/(-4)). Suppose -4*b + 193 = -0*b - 5*f, s*f = -3*b + 168. Let u = b - 17. List the prime factors of u.
5, 7
Let h(n) = -98*n - 1. Let j be h(-3). Suppose j = 4*b - 2*b - 3*c, -1 = c. What are the prime factors of b?
5, 29
Let g = -2 + 14. Let w be ((-3)/(-4))/(g/(-1056)). List the prime factors of -1 - 3 - (w - -1).
61
Suppose -4*k + 149 = -531. Let o = 41 + -33. Suppose -k = -13*w + o*w. List the prime factors of w.
2, 17
Suppose 0 = p - s - 460, -1700 = -3*p - 3*s - 350. What are the prime factors of p?
5, 7, 13
Suppose -1 = -5*y - 5*i + 4, i = -5*y + 5. Suppose -y = z - 11. List the prime factors of z.
2, 5
Suppose 3*i + 2*s - 3198 = 0, -4*i = -8*i + 5*s + 4287. List the prime factors of i.
2, 3, 89
Suppose 0 = -3*n - 0*n - 4*g + 1011, 4*g + 353 = n. List the prime factors of n.
11, 31
Let k = -19 + 20. Let t be k/((2/90)/1). Suppose -2*z + z = b - 49, 3*z + t = b. What are the prime factors of b?
2, 3
Let t be 13/5 - 10/(-25). Suppose -t*x = -12 + 3. Suppose 5*q + 69 = x*p, -103 = -4*p + 2*q + q. What are the prime factors of p?
2, 7
Let g be (-6)/(-4)*-2*1. Let r be (16/48)/(1/33). Let q = r + g. List the prime factors of q.
2
Let t(d) = 3*d**2 + 3*d - 15. Let h(b) = -2*b**2 - 2*b + 10. Let l(g) = 7*h(g) + 5*t(g). Let z be l(10). Suppose 0 = 5*v - z + 15. List the prime factors of v.
2, 3
Let u(a) = -1. Let y(m) = 15*m + 5. Let h(k) = -6*u(k) - y(k). List the prime factors of h(-2).
31
Let j = 22 - 43. Let a be 67/(-3) + (-7)/j. Let w = -5 - a. List the prime factors of w.
17
Let t(o) = o + 2. Let z be t(2). Suppose z*l = -3*g + 137 + 78, -5*g = 4*l - 225. List the prime factors of l.
2, 5
Let l = -17 + 17. What are the prime factors of 2 + 2 + l + 0?
2
Suppose 7*h - 8*h = -3*s - 595, s = -3*h + 1765. List the prime factors of h.
19, 31
Let i(x) = -x**3 + 14*x**2 + 3*x - 42. Let m be i(14). Suppose p + 3*p - 888 = m. List the prime factors of p.
2, 3, 37
Suppose -2*l + 3 = -7. Suppose -l*x = -x + 5*c - 364, 192 = 2*x + 5*c. Suppose 4*b = 6*b - x. What are the prime factors of b?
43
Suppose -2*x - 4*r + 4 = 0, -3*r = 4*x - 2*r + 6. What are the prime factors of (x/(-3))/(16/432)?
2, 3
What are the prime factors of (-12)/102 + (-119454)/(-102)?
1171
Let a(z) = 8*z - 21. Let r(n) = -9*n + 22. Let s(l) = l**2 - 14*l + 18. Let v be s(12). Let o(i) = v*a(i) - 5*r(i). What are the prime factors of o(-7)?
37
Let a be (18/27)/((-154)/(-156) + -1). Let o = 114 + a. What are the prime factors of o?
2, 31
Suppose 0 = 5*k - 0*k - 10. Suppose k*w = -10, s - 6*s + 370 = 3*w. Let o = s - 1. List the prime factors of o.
2, 19
Suppose -5*g + 3532 = -273. What are the prime factors of g?
761
Suppose -4*c = -5*c + 11. Suppose 0 = -q + 5*l - c, -2*l + 1 = -3*q + 7. What are the prime factors of (43/q)/((-7)/(-28))?
43
Let j(x) = x**2 - 10*x + 16. Suppose -4 = -5*l + 6. Let i be ((-22)/10)/(l/(-10)). List the prime factors of j(i).
3
Suppose 3*s = -3*s. Suppose -3*w + 5*m + 888 = s, w - 2*m = -3*w + 1170. List the prime factors of w.
3, 97
Let h = -342 + 401. List the prime factors of h.
59
Let p(x) = -8*x + 6. Let s be p(7). Let v = -41 - s. What are the prime factors of v?
3
Let s = 1417 - 806. What are the prime factors of s?
13, 47
Let o(w) = w**3 - 7*w**2 + 6*w + 2. Let q be o(6). Suppose 3*s + q*k - 463 = 0, 0 = -5*s + k - 3*k + 769. What are the prime factors of s?
3, 17
Suppose 4*x + 48 = 2*x. Let n(f) = f**3 + 10*f**2 + 19*f + 10. Let q be n(-8). List the prime factors of (x/(-42))/((-4)/q).
2
Let l(i) = -302*i + 185. What are the prime factors of l(-8)?
3, 17
Let y = 408 - 165. List the prime factors of y.
3
Suppose 0 = 64*w - 61*w - 1731. List the prime factors of w.
577
Let s(l) = 5*l**3 - 20*l**2 + 45*l + 117. Let g(a) = a**3 - 5*a**2 + 11*a + 29. Let b(y) = 9*g(y) - 2*s(y). List the prime factors of b(-6).
3
Let f = 2103 + -1492. What are the prime factors of f?
13, 47
Let w(d) = -230*d + 56. What are the prime factors of w(-17)?
2, 3, 661
Let x(w) = 142*w - 288. What are the prime factors of x(19)?
2, 5, 241
Suppose 2*i = -3 + 45. Suppose 4*