 1. Let s = 12 - 13. Let a be f(s). List the prime factors of v(a).
29
Suppose -h + 2 + 0 = 0. Suppose 37 = -s - h. Let p = 65 + s. What are the prime factors of p?
2, 13
Let m(y) = -2*y + 19. Let o be m(9). Let z be ((-3)/9*-411)/o. Let j = z + -89. What are the prime factors of j?
2, 3
Let f = 21 - 19. Suppose f = -j + 13. What are the prime factors of 2/(-6)*(-726)/j?
2, 11
Suppose -4*q - 148 = 2*h, 22 = -q + 3*h - 29. Let v = -7 - q. List the prime factors of v.
2
Suppose 5*a = 2044 + 141. What are the prime factors of a?
19, 23
Suppose 7*z - 2*z = 2*t - 5246, -3*z + 7890 = 3*t. List the prime factors of t.
2, 3, 73
Let q be (44/(-55))/(0 - (-2)/(-45)). Let j = -14 - -34. Suppose q*i = j*i - 12. What are the prime factors of i?
2, 3
Let a be (-19)/(-7) + 12/42. Let y(k) = 4*k + 105*k**2 + 2*k**a - 108*k**2 - 2 - 1. List the prime factors of y(2).
3
Suppose -28*n + 30*n = 182. List the prime factors of n.
7, 13
Suppose 6*s + 1825 = j + 3*s, 0 = 5*s - 25. What are the prime factors of j?
2, 5, 23
Suppose 3*y + 9 = 0, y + y + 18 = -2*x. Let i(j) = -7*j + 5. What are the prime factors of i(x)?
47
Suppose -5*b - s + 4135 = 0, -3*b = -79*s + 80*s - 2481. What are the prime factors of b?
827
Let s(h) = h**3 - 9*h**2 - 6*h - 3. Let n(k) = -2*k**3 + 10*k**2 + 5*k + 4. Let p(t) = 2*n(t) + 3*s(t). Suppose -6*y = -5*y + 6. List the prime factors of p(y).
11
Let o(z) = -z**2 + 20*z - 26. Suppose 0*r + 3*w + 63 = 4*r, -5*r + 2*w = -84. Let q be o(r). What are the prime factors of (5/q)/(1/22)?
11
Let l be ((-8)/6)/((-6)/9). Suppose 0 = -l*r - r + 4*p + 17, 4*p = 4*r - 20. Suppose -x + 60 = r*x. What are the prime factors of x?
3, 5
Let x be 4/(-24) - (-121)/6. Suppose 10*m = 5*m - x. List the prime factors of ((-9)/(-15))/(m/(-180)).
3
Suppose -3*c + 11*c - 1624 = 0. List the prime factors of c.
7, 29
Let p(y) = 7*y**3 - y**2 + 9*y + 10. Let n(v) = -3*v**3 - 5*v - 5. Let u(j) = -9*n(j) - 4*p(j). List the prime factors of u(-4).
97
Suppose -5*x + 16 = -9. Suppose 5*g - 5*s = 575 + 360, -x*g + 942 = 2*s. List the prime factors of g.
2, 47
Suppose n + 320 = 6*m - 3*m, 112 = m + n. Let y = 250 - m. What are the prime factors of y?
2, 71
Suppose -2*g + 5*g = -3. Let m(a) = 73*a**2 - a + 1. Let k be m(g). Let r = k - 10. List the prime factors of r.
5, 13
Suppose 43 = -5*u + 608. Suppose 235 + u = 3*r. List the prime factors of r.
2, 29
Let w be 738/(-12)*6*(-2 + 1). Suppose 4*y + w = 5*d, 5*y + 197 = 4*d - 100. What are the prime factors of d?
73
Let z = -5 - -7. Let p be (-32)/24*(-3)/z. Suppose -5*l - p*s = -77 - 57, -5*s + 114 = 4*l. List the prime factors of l.
2, 13
What are the prime factors of 1 - -73 - (1 + 0 + -5)?
2, 3, 13
Let i(o) = o**3 - 5*o**2 + 5. Let z be i(5). Suppose -122 = z*w - 1142. List the prime factors of w.
2, 3, 17
Suppose 0*p + 9 = -5*s - 3*p, -s + 5*p + 15 = 0. Suppose s = 5*n + 212 + 38. Let k = -33 - n. List the prime factors of k.
17
Suppose -4*p - 59 + 703 = 2*b, 167 = p + 2*b. Let z = p + -111. What are the prime factors of z?
2, 3
What are the prime factors of 40 - 48 - (-3 + -239)?
2, 3, 13
Let w(b) = -b + 5. Let h = 12 + -27. Let g = h - -8. What are the prime factors of w(g)?
2, 3
Let c = -112 - -51. Let l = -45 - c. What are the prime factors of l?
2
Let l(g) = -4*g + 74. Let h be l(23). What are the prime factors of (-2040)/h - 2/6?
113
Let f = -4 + -4. Let y(n) = n**3 + 8*n**2 + 3. Let t be y(f). Suppose -t*z - z = -152. List the prime factors of z.
2, 19
Let k(b) = -b**3 + 10*b**2 + 12*b + 31. What are the prime factors of k(10)?
151
Let w(s) = 3*s**3 - 1. Suppose -2*d = 2*g, -g + 3*g = 2*d + 4. Let b be w(g). Suppose -b*l - 2*i + 52 = 8, -4*l - i = -85. List the prime factors of l.
3, 7
Suppose -4*p + 2 = 2. Suppose p*y + 5*y = 280. What are the prime factors of y?
2, 7
Let u = -2 - -7. Suppose y = -0*g + 4*g + 55, 0 = -u*g. What are the prime factors of y?
5, 11
Suppose 0 = -n + 3*q + 9, 3*q - 7*q = 3*n + 12. Suppose n = -4*f + 161 - 21. Suppose 2*y - 10 = 0, -3*y - 2*y = -5*a + f. List the prime factors of a.
2, 3
Suppose -28*r + 27*r = 2. What are the prime factors of ((-28)/(-6) - r)/(2/18)?
2, 3, 5
Let w(c) = -17*c**3 - 2*c**2 - 31*c - 40. What are the prime factors of w(-6)?
2, 1873
Let j be (1 + 7/(-3))*-18. Suppose -5*z + 0*r + 22 = -r, 5*z - 2*r - j = 0. What are the prime factors of ((-112)/(-24))/(z/18)?
3, 7
Let z(j) = 7*j**2 + 37*j + 16. List the prime factors of z(-16).
2, 19
Let j be (2/(-3))/((-10)/15) + 28. Let a = j - 25. List the prime factors of a.
2
Let p be (24/(-10))/(18/(-3180)). Suppose -5*w = -0*t + 3*t - p, 5*w - 138 = -t. List the prime factors of t.
11, 13
Let o be 6/(-8) - (-105)/28. Suppose -3*w - 456 = -3*s, o*s - w - 4*w - 456 = 0. What are the prime factors of s?
2, 19
Let l(h) = 13*h**2 - 3. Let n(w) = 13*w**2 - 3. Let q(p) = -5*l(p) + 6*n(p). What are the prime factors of q(2)?
7
Let f(p) = p**3 - 19*p**2 + 20*p - 28. Let z be f(18). Suppose z*a - 1508 + 364 = 0. List the prime factors of a.
11, 13
Suppose 20 + 10 = 3*k. Suppose -r + 4*t = -2, -2*r + k = 3*t - 38. Suppose 4*s + 12 = 0, -3*l + 2*s + r = -0*s. List the prime factors of l.
2
What are the prime factors of ((-6)/12 - 5/(-2)) + 729?
17, 43
Let g(b) = -13*b**2 + 8*b**2 + 9*b + 8*b**2 + 2. Let z(n) = -2*n - 2. Let k be z(2). List the prime factors of g(k).
2, 7
Let l be -5 + (-2 - -3) + -2. Let k be (3 + l)*(2 + -3). Suppose k*p - v = 40, -68 = -4*p + 2*v + 3*v. What are the prime factors of p?
2, 3
Suppose -32 = 3*z - 23, -5*o - 5*z + 3490 = 0. List the prime factors of o.
701
Let p(c) be the third derivative of -c**4/3 - 2*c**3/3 + 6*c**2. Let v be p(-2). Let w(z) = 2*z - 6. What are the prime factors of w(v)?
2, 3
Let x(p) = -8*p + 10. Suppose -3*d - 33 + 9 = 0. What are the prime factors of x(d)?
2, 37
Suppose -15*u + 2725 = 10*u. What are the prime factors of u?
109
Suppose -2*w + 6 = -166. What are the prime factors of w?
2, 43
Let a be (-788)/12 - (-2)/3. Let c = 125 + a. List the prime factors of c.
2, 3, 5
Suppose -7 - 11 = -6*k. Suppose -k*i + 235 = -20. What are the prime factors of i?
5, 17
Let t be 348/90 - (-6)/45. Suppose -123 = -3*p + 2*y, 0*y - 51 = -p + t*y. List the prime factors of p.
3, 13
Suppose -2*i - 3*k = -5775 - 2843, -3*i - 2*k = -12937. What are the prime factors of i?
5, 863
Let a(h) = h**3 + 15*h**2 + 14*h - 6. Let f be a(-14). List the prime factors of (130 + f)/(2 - 0).
2, 31
Let b be 1*14 + (8 - 7). Let z = b - 16. Let c = 7 - z. List the prime factors of c.
2
Let z(r) = -199*r - 395. What are the prime factors of z(-8)?
3, 7, 19
Let h(j) = 9*j**2 + 7*j - 2. What are the prime factors of h(5)?
2, 3, 43
Suppose -11*d + 2*s + 1248 = -10*d, -2*s = 2*d - 2478. What are the prime factors of d?
2, 3, 23
Let y(k) be the second derivative of -29*k**3/6 + k**2 - 9*k. What are the prime factors of y(-2)?
2, 3, 5
Suppose 9 = 4*k - 23. Suppose y = -2*n + 2, -3*y = -k*y - n + 10. Suppose -8*a + y*a + 78 = 0. What are the prime factors of a?
13
Suppose 2*f + 0*a - 16 = 5*a, -f + a + 5 = 0. Suppose k + 5*c - 135 = -4*k, -f*k = c - 79. What are the prime factors of k?
2, 13
Suppose -5*r + 2471 = 3*b, 3*b - 2491 = 9*r - 10*r. List the prime factors of b.
2, 13
Let d(o) = 9*o**2 + o - 1. Let m be d(1). Suppose -4*u - m = 3*a - 94, -2*u + 25 = 5*a. List the prime factors of u.
5
Let o = 5132 - 2921. What are the prime factors of o?
3, 11, 67
Suppose -267*n + 30634 = -233*n. List the prime factors of n.
17, 53
Let x be ((-68460)/63)/((-4)/6). Suppose 21*j = 11*j + x. List the prime factors of j.
163
Let o = 38 + -21. Suppose 5*q + 33 = 233. Let p = q - o. List the prime factors of p.
23
List the prime factors of (-10)/45 + (-112960)/(-288).
2, 7
Let k = -106 - -103. Let m(d) = -d**3 - 7*d + 1. List the prime factors of m(k).
7
Let p(h) = 19*h - 12. Let z(y) = 3*y + 44. Let w be z(-14). What are the prime factors of p(w)?
2, 13
Let c = 525 - -35. List the prime factors of c.
2, 5, 7
Suppose -r - 28 = -337. List the prime factors of r.
3, 103
Let o = 1737 + 1976. What are the prime factors of o?
47, 79
Suppose -5*t = g - 32, 3*g + g = -3*t + 26. Let c(r) = -1 - t - 2*r - 2 - 1. What are the prime factors of c(-13)?
2
Let u(l) = 2*l**2 + 22*l - 206. What are the prime factors of u(21)?
2, 569
Suppose 0*y + 