433
Let i(m) = -m**3 - 8*m**2 - m - 6. Let o be i(-8). Let a(p) = 2*p**2 - 3*p + 1. Let d be a(o). List the prime factors of (d + -1)/(12/162).
3
Suppose -j + 125 = -6*j. Let c = j - -50. Suppose -k - c = -2*k. What are the prime factors of k?
5
Let u(x) = x**2 + 9*x + 1. Let y be (0 + 0)/(-2 + 1). Suppose 0 = 3*t + 9, 2*v + 11 = -y*v + 3*t. List the prime factors of u(v).
11
Let t(z) be the first derivative of z**5/60 - z**4/24 - 9*z**2/2 - 8. Let k(n) be the second derivative of t(n). List the prime factors of k(-1).
2
Suppose 0*x + 153 = 4*x + 5*t, -2*x + 69 = t. Suppose k = 105 + x. What are the prime factors of k?
137
Suppose 4*h = 4*n + 2276, 4*n + 1697 = 3*h + 3*n. List the prime factors of h.
2, 3, 47
Suppose 5*a = x + 20, 0 = a + 4*x - 4 - 0. Suppose -4*y + j = -79, 4*j - 83 = -a*y + j. Let b = 39 - y. What are the prime factors of b?
19
Let u be 3/(-2) - 2/((-16)/12). Suppose 9*y + 4*y - 2834 = u. List the prime factors of y.
2, 109
Suppose -a = -2*l - 0*a + 101, -107 = -2*l - 5*a. Let h = l + 10. Suppose -5*x + 110 = -x + 2*z, 5*z = 2*x - h. List the prime factors of x.
2, 7
Let y = -65 - -70. Suppose 0 = y*f - 193 - 157. What are the prime factors of f?
2, 5, 7
Suppose r + 30586 = 5*z, -23*z + 25*z - 12224 = 3*r. List the prime factors of z.
2, 7, 19, 23
Let v be (2/1 - 1)*7. Let k = v - -5. List the prime factors of 4/6 - (-196)/k.
17
Suppose -h = 3*h - 24. Suppose -t + h*t = 640. What are the prime factors of t?
2
Suppose -18 = a + 4*y, 5*a + 0*y + 3*y = -90. Let u be 1/3 + (-174)/a. Suppose 0*i - u = -2*i. List the prime factors of i.
5
Suppose -470*n + 475*n - 510 = 0. List the prime factors of n.
2, 3, 17
Suppose -2*x + 2*z = -110, 2*z + 124 = 2*x + 7*z. Let w = x + -12. What are the prime factors of w?
3, 5
Suppose 2*d = -5*h + 4*d + 23, h + 4*d - 9 = 0. Let j(m) = -h*m + 3 - 2*m - 2*m + 3*m. What are the prime factors of j(-6)?
3, 13
Let f = -179 + 472. List the prime factors of f.
293
Let r = -66 + 114. Suppose q + 2*q = r. Suppose -d = -5*d + q. What are the prime factors of d?
2
Suppose 14*h - t + 587 = 16*h, -t = -4*h + 1183. List the prime factors of h.
5, 59
Let w(m) = 98*m**2 + 19*m - 4. What are the prime factors of w(-4)?
2, 3, 31
Let a(n) = -n**2 - 12*n + 10. Let x = -7 - 1. Let z be a(x). Let q = -29 + z. What are the prime factors of q?
13
Let x(i) = -i**3 - 3*i**2 - 2*i + 2. Let s be x(-2). Suppose 4 = s*t + d, -4*t - 2*d - 2*d + 16 = 0. List the prime factors of 1 - (-7 + t) - 1.
7
What are the prime factors of 258 + (-7 - (1 - 3))?
11, 23
What are the prime factors of (-4 - (1 - 8)) + 993?
2, 3, 83
Suppose -2*z = -4*z - 2*n + 22, -n = -4*z + 19. Let b be (-12)/(-14)*28/z. Suppose -8 = -b*w + 12. What are the prime factors of w?
5
Suppose 8*w - 13*w = -3*i - 803, 0 = w + 3*i - 175. What are the prime factors of w?
163
Let s(n) = -8*n - 46. What are the prime factors of s(-10)?
2, 17
Let a = -3150 - -4433. List the prime factors of a.
1283
Suppose -75 + 27 = -x. Suppose 7*g = 4*g + x. List the prime factors of (-294)/28*g/(-3).
2, 7
Let c(j) = -j**3 - 1. Let l(a) = a**3 + 6*a**2 - 2*a - 3. Let h be (-27)/(-9) + 1*-2. Let z(r) = h*l(r) + 2*c(r). List the prime factors of z(4).
19
Suppose 10*w - 23*w + 9646 = 0. What are the prime factors of w?
2, 7, 53
Suppose 3*s + l - 17168 = -3164, 0 = 2*s + 2*l - 9332. List the prime factors of s.
7, 23, 29
Let u(l) = 3*l**2 + 9*l + 14. List the prime factors of u(27).
2, 13, 47
Let z(y) be the first derivative of -y**4/4 + 8*y**3/3 + 2*y**2 - 3*y - 12. List the prime factors of z(7).
2, 37
Suppose -15*u + 10*u + 75 = 0. List the prime factors of 834/u + (-6)/10.
5, 11
Let t = -5296 - -8257. What are the prime factors of t?
3, 7, 47
Let p = 3123 + -2167. What are the prime factors of p?
2, 239
Let h(o) be the third derivative of o**6/120 + o**5/5 - o**4/6 - 17*o**3/6 + 3*o**2. What are the prime factors of h(-12)?
31
Suppose 7405 = -10*o + 37055. What are the prime factors of o?
5, 593
Suppose q + 1 = -4*y - 1, -4*y - 8 = 4*q. Suppose 2*o + 4*s - 140 = -y*s, -2*s = 6. Suppose x + o = 5*x. List the prime factors of x.
19
Let q = 51 - 48. Suppose -4*o + 0*o = 3*z - 529, -q*o = -z - 387. List the prime factors of o.
2, 5, 13
Let s be (6/24)/1*16. Suppose k - 7 = 2*x, k = -s*k - x + 79. What are the prime factors of k?
3, 5
Suppose 2*s - 2*g - 3218 = 0, s = -28*g + 23*g + 1609. List the prime factors of s.
1609
Let f(s) = s**3 - 23*s**2 + 22*s + 9. List the prime factors of f(23).
5, 103
Let a(w) = -w**2 - 15*w - 13. Suppose 3*l - 240 = 11*l. Let u = l - -17. What are the prime factors of a(u)?
13
Suppose 0*s = q + s + 4, 0 = q - s - 6. What are the prime factors of 1/((8/(-12)*q)/(-50))?
3, 5
Let n(v) = v**2 - 7*v + 10. Let i be n(7). List the prime factors of ((-2)/i)/((-24)/23640).
197
Let t(u) = -u**3 + 5*u**2 + 5*u + 3. Let p be t(6). Let m = -1 - p. Suppose 3*q - 22 = -x, 2*q - m*x = -0*q + 28. List the prime factors of q.
3
Let f(l) = -12*l**2 + l + 1. Let r be f(-1). What are the prime factors of 6/r + 3 + (-1)/2?
2
Let q(n) be the third derivative of n**5/20 + 13*n**4/24 + 19*n**3/6 + 5*n**2. What are the prime factors of q(-8)?
107
Let f be 2 + ((-249)/6)/(2/(-4)). Suppose 0 = -9*a + 257 + f. What are the prime factors of a?
2, 19
Suppose 0 = -2*u + 4 + 14. What are the prime factors of (-6)/u + 462/18?
5
Let u(q) be the first derivative of -q**4/8 - q**3 + q**2/2 - 5. Let o(z) be the second derivative of u(z). List the prime factors of o(-6).
2, 3
Suppose -4*a = -3*o - 12, -4*a = o + a - 15. Suppose 3*c - 3*h + o*h = 51, -56 = -4*c - 2*h. Suppose -c = -3*z - 0*z. What are the prime factors of z?
5
Suppose -r - 5*u = 3*r + 147, 2*r + 74 = -2*u. Let s = 44 - r. What are the prime factors of s?
2, 41
Let u = -2 - -5. Suppose -u*k = -2 + 8, -y = 3*k. What are the prime factors of y?
2, 3
Let i(r) = 39*r - 2. Let f be i(6). Suppose 4*w + 0*w - 2*h + f = 0, 4*w + 232 = h. Let p = 109 + w. List the prime factors of p.
3, 17
Let z(i) = -2500*i**3 + 4*i**2 + 7*i + 1. What are the prime factors of z(-1)?
2, 1249
Suppose -w + 485 = 4*w. Let l = -52 + w. Let x = l + -22. What are the prime factors of x?
23
Suppose -n + 5*h = -15 - 5, 2*n - 7 = -h. Suppose n*a = 49 + 6. Suppose 5*v - 46 + a = 0. What are the prime factors of v?
7
Suppose 7*v + 75*v - 253872 = 0. What are the prime factors of v?
2, 3, 43
Let u(g) = g - 17. Let d be u(22). Suppose -p + 170 = c, -5*c = -d*p + 248 - 1138. What are the prime factors of c?
2, 3, 29
Let j = 3134 - 774. What are the prime factors of j?
2, 5, 59
Suppose 5*o = -5*q + 5700, -o + 1136 = 2*q + 3*q. Suppose 12*d - o = 5*d. What are the prime factors of d?
163
Suppose -3*u - 2*p = u - 16, 5*u = 5*p + 50. Let z(w) = 2*w - 16. Let o be z(u). Let c = 46 - o. What are the prime factors of c?
2, 5
Let d(w) = 0 - 3*w**2 - 13*w - 14*w**2 + 3*w**3 - 2*w**3 - 6. What are the prime factors of d(18)?
2, 3, 7
Let z(y) = 0*y**2 - 34 + y**2 + 70 + 17*y. List the prime factors of z(-15).
2, 3
Let q be (-6)/(-24) + (-22)/(-8). Suppose q*r = -3*v, -5*r - 2*v + v = 8. List the prime factors of ((-5)/((-10)/(-92)))/r.
23
Let o(r) = 39*r**2 + 4*r + 10. List the prime factors of o(8).
2, 3, 47
Suppose -2 = l + 88. Let u be ((-2)/(-3))/((-12)/l). Let x = u - -4. What are the prime factors of x?
3
Suppose -3*a = -823 - 701. What are the prime factors of a?
2, 127
Suppose -2*w = w - 9. Let p(f) = 6*f + 3. Let r be p(w). Suppose r = -2*z + 133. What are the prime factors of z?
2, 7
Let b be (2/(-6))/((-8)/(-120)). Let d = 7 + b. Suppose 2*f + 3*v - 66 = 0, 5*v - d*v - 27 = -f. What are the prime factors of f?
3, 13
Let l(r) be the second derivative of -r**3/3 + 19*r**2/2 - 4*r + 7. List the prime factors of l(-9).
37
Suppose 98 = 5*r - o, o = 3*o - 4. Let l(p) = -3*p**2 - r*p + 19*p + 27*p**2. List the prime factors of l(-1).
5
Let a be 7 + -1 - (1 - 0). Suppose 3*j = -a*f + 12, -j - 2*f = 2*f - 4. Let y(w) = w**2 + 2*w - 2. What are the prime factors of y(j)?
2, 11
Suppose 11*d - 35600 = 6*d. List the prime factors of (-39)/(-21) + -2 - d/(-56).
127
Let m be (18/54)/(2/60). Suppose -2*y - m = 0, -113 - 42 = -3*g + y. What are the prime factors of g?
2, 5
Suppose -1761 = -3*y - 5*p + 447, 3*y = 2*p + 2208. List the prime factors of y.
2, 23
Let j(s) = -20*s - 2. Let