1
Let v be 6/(-9) + 1272/(-9). Suppose x - 3*i - 254 = 0, -15*x + 18*x - 750 = -3*i. Let q = v + x. What are the prime factors of q?
109
List the prime factors of -3 + 20573 - ((-3400)/17)/(-20).
2, 5, 257
List the prime factors of (-15 - -13) + 8855 + (4/4 - 1).
3, 13, 227
Let x = -24291 - -36914. What are the prime factors of x?
13, 971
Let b be 1*(4 - 2) - (-18)/(-2). Let a be (-4 - (-5 - (b - -3)))*-2. Suppose -8*w + a*w = -454. List the prime factors of w.
227
Let m(q) = 6540*q + 49. List the prime factors of m(1).
11, 599
Let j = 6586 - 4106. List the prime factors of j.
2, 5, 31
Let w = 43 - 43. Let k(x) = -x**3 + x**2 - x. Let i be k(w). Suppose -8*h + h + 658 = i. List the prime factors of h.
2, 47
Let q(c) = c**2 + 5*c + 4. Let h be q(0). What are the prime factors of (-608)/(-8)*(27/h + -1)?
19, 23
Suppose -2*s - 55 = -37. Let i = 9 + s. Suppose i*t - 206 = -2*q + t, -2*t + 206 = 2*q. What are the prime factors of q?
103
Let v = 11279 + 3943. What are the prime factors of v?
2, 3, 43, 59
Suppose -4*v + 0*w + 3*w = -493, 377 = 3*v + 5*w. Let t = 560 + -336. Let d = t - v. What are the prime factors of d?
2, 5
Let w(x) = 10*x**2 - 2 + x**3 + 4 + 5*x + 3. Let u be -3*18/66*11. List the prime factors of w(u).
41
Let z(j) = 2*j**2 - 31*j + 18. Let x be z(15). Suppose b - 6 = -2*b + x*g, 0 = b + 3*g + 6. Suppose b = -i - 4*i + 190. What are the prime factors of i?
2, 19
Let n be (-15)/(4/(-120)*5). Suppose -n*m + 5994 = -84*m. What are the prime factors of m?
3, 37
Suppose 0 = -4*c + 12, -9*c + 15483 = j - 13*c. List the prime factors of j.
3, 5, 1033
Let a(s) = 367*s + 26. Suppose -9*z + 40 = 11*z. List the prime factors of a(z).
2, 5, 19
Suppose 5*f - 1727 = -3*v + 210, 0 = -v + f + 643. Let q = v + 61. What are the prime factors of q?
3, 5, 47
Let f = -482 + 302. List the prime factors of ((-116)/10)/(24/f).
3, 29
Let l = 623 - 618. Suppose -3789 + 64 = -l*j. What are the prime factors of j?
5, 149
Let t = 109 - 100. Suppose -t*n + 371 = -2*n. Let w = 92 - n. List the prime factors of w.
3, 13
Let v = 19 + -40. Let l be (-1)/((-3)/(-670)) + 14/v. List the prime factors of (-18)/99 + l/(-22).
2, 5
Let t(a) = -12*a**3 + 3*a**2 - 8*a + 94. List the prime factors of t(-9).
9157
Let f(y) = -17 + 2 - 4*y - 13 - 7 + 14. List the prime factors of f(-7).
7
Let k(l) = 2167*l**2 - 145*l - 23. List the prime factors of k(-2).
5, 1787
Let z(r) = 129*r**2 - 873*r - 2631. What are the prime factors of z(-3)?
3, 383
Let n(b) = 688*b**2 + 40*b. What are the prime factors of n(-2)?
2, 167
Let c = -3012 - -4402. Let i = -790 + c. List the prime factors of i.
2, 3, 5
Suppose -2*v + 30 = 2*g - 6, -5*g - v = -74. Suppose -10*k - 1724 = -g*k. List the prime factors of k.
431
Let x(w) = 449*w + 55. What are the prime factors of x(5)?
2, 5, 23
Suppose -5*p + 175 = 5*l - 0*l, -140 = -4*l + 3*p. Let v = -33 + l. Suppose 4*y = -v*b + 37 + 133, y + 5*b - 29 = 0. List the prime factors of y.
2, 11
What are the prime factors of (-85)/(8160/(-4760964)) + (-6)/16?
3, 61, 271
Let v be -18*(-1 - (-2)/4). Suppose -112 = v*g - 31. Let s(d) = d**2 - 12*d - 19. What are the prime factors of s(g)?
2, 5, 17
Let g(z) be the second derivative of -z**5/10 + z**4/4 - z**2 - 18*z. Let n be g(-4). Suppose 150 + n = 6*b. List the prime factors of b.
2, 3
Let v(m) = 3*m - 6. Let c be v(10). Suppose 4*g - c = -16. What are the prime factors of (93/2 + -3)*g?
3, 29
Suppose -956*d - 4*m + 93450 = -954*d, 2*d - 93453 = -3*m. What are the prime factors of d?
3, 37, 421
Let b(i) = 2*i**3 + 25*i**2 + 31*i + 16. Let f be b(-14). Let t = 1524 + f. What are the prime factors of t?
2, 7, 37
List the prime factors of 12/3 - -15194 - (-2 + 3).
7, 13, 167
Suppose -172*w = -1704931 - 4355833. What are the prime factors of w?
167, 211
Let z(d) = d**3 - 6*d**2 - 39. Let y be z(0). What are the prime factors of ((-2795)/y)/(4/12)?
5, 43
Let y be (-4*2*-1)/((-6)/(-9)). Let n(z) = 5 - y + 3 + 4*z + 62*z**2 - 8*z. List the prime factors of n(-1).
2, 31
Let r(w) = 363*w**2 - 91*w - 491. List the prime factors of r(-5).
3, 23, 131
Suppose -4*b + 4 = 0, -2 = -o - b + 3. Suppose -5*d = -3*h - 4283, 1005 + 697 = 2*d - o*h. List the prime factors of d.
859
Suppose 2*r = -3*u + 18, -4*u - 9 = -7*u - 5*r. Suppose -u*s = 63 - 279. What are the prime factors of s?
3
Suppose g + 10 = 2*u, 2*u - 5*g - 18 = -0. Suppose p - 5*t - 58 = -3*t, 4*p - 268 = -u*t. What are the prime factors of p?
2
Suppose -2*r - 48 = 164. Let z = r + 111. Suppose -6*h = -z*h - 262. What are the prime factors of h?
2, 131
Let t = -18 + 25. Let b(g) = t*g - g + 3 - 3*g**2 + 28*g**3 - 29*g**3. List the prime factors of b(-6).
3, 5
Let h be 14/(-6) - 126983/(-69). What are the prime factors of h/1 - (-95)/19?
19, 97
Suppose -5*g + 17 = 4*x, x - 3 = g + 8. Let c be (-4)/1 - 1480/x. Let r = c + 366. List the prime factors of r.
3, 59
List the prime factors of (23724/21)/((-1)/(-7)).
2, 3, 659
Let k(r) = 7102*r - 66. List the prime factors of k(2).
2, 7069
Let w = -270 + 1013. Let m = 1058 - w. What are the prime factors of m?
3, 5, 7
Suppose -3*w = 4*k - 92246, -12*w + 13*w = 5*k - 115317. List the prime factors of k.
23063
Suppose -18 = -4*r + 2. Suppose -3*k + 5*u = -455, -r*k = -2*u - 0*u - 752. List the prime factors of k.
2, 3, 5
Let d(h) be the third derivative of -5*h**4/8 + 5*h**3 + 25*h**2. List the prime factors of d(-16).
2, 3, 5
Suppose 3*z - 19058 = -12*z + 5887. List the prime factors of z.
1663
Let m = -1505 - -1614. Let d = 39 - -46. Let y = m - d. What are the prime factors of y?
2, 3
Let h(p) = -2*p + 3. Let y be h(18). Let n be (3/(-5) - 10/25)*y. What are the prime factors of n - (0 + 6) - 0/(-1)?
3
Suppose -4*c + 3*x = 86835 - 252211, -4*x = -16. What are the prime factors of c?
173, 239
Let j(v) be the third derivative of -v**5/60 - 11*v**4/8 + 23*v**3/6 + 2*v**2 + 11*v. List the prime factors of j(-29).
139
Let t be (5/20 + -2)*-4. Suppose n - t*s - 191 = -3*s, 4*n = -s + 764. What are the prime factors of n?
191
Let i = 24 - -18. Suppose -2*n - 2*v + 128 = 0, -10*n + 11*n + 5*v = 76. Let y = n - i. List the prime factors of y.
19
Let f(k) = -3*k**2 + 19*k + 5. Let z be f(10). List the prime factors of (-4)/(-14) + (-53730)/z.
2
Let p(b) = b**3 - 4*b**2 + 2*b - 6. Let c be p(4). Suppose 0 = -c*w - 448 - 104. What are the prime factors of (2/(-6))/((-826)/w + -3)?
2, 23
Suppose -5*f = -3*f + 36. Let d be 275/33 + 3/(f/(-4)). Let x(h) = 14*h - 22. What are the prime factors of x(d)?
2, 13
Suppose 45*o = 47*o. Suppose 5*h + u - 1852 = o, 2*h - 744 = -u - u. Suppose -5*v = y + 4*y - h, -v - 321 = -4*y. What are the prime factors of y?
79
List the prime factors of 96/80*(-18995)/(-3).
2, 29, 131
Let n(a) = -2 + 4 + 20 - 7*a. Let r be n(6). Let w = r + 108. What are the prime factors of w?
2, 11
Let p(o) be the third derivative of o**6/120 - 23*o**5/60 + 13*o**4/12 + 37*o**3/6 - 19*o**2 - 6. List the prime factors of p(23).
5, 127
Suppose -83*b = 203781 - 957421. What are the prime factors of b?
2, 5, 227
Let y(t) = -336*t**3 + 104*t**2 + 546*t - 11. List the prime factors of y(-5).
3, 4651
List the prime factors of (-917001)/(-63) + 2/((-56)/(-12)).
2, 3, 1213
Suppose 26*m - 41*m - 8940 = -19*m. List the prime factors of m.
3, 5, 149
Let h = 8920 + 28503. What are the prime factors of h?
37423
Let j(p) = 5*p**3 + 2*p**2 - 22*p + 34. Let t(h) = -17*h**3 - 5*h**2 + 68*h - 103. Let i(v) = 7*j(v) + 2*t(v). What are the prime factors of i(5)?
167
Let q = -13233 - -13517. List the prime factors of q.
2, 71
What are the prime factors of (6099 + 437)/(2/4)?
2, 19, 43
Suppose -4*q - 3*v + 35442 = 0, -q = -626*v + 623*v - 8868. List the prime factors of q.
2, 3, 7, 211
Let o(y) = 9*y**2 - 1755*y - 5. List the prime factors of o(-14).
113, 233
Suppose -3*r + 4*q + 1838 = 0, 5*r = 8*q - 7*q + 3035. Suppose -r = 56*d - 58*d. List the prime factors of d.
3, 101
Suppose 3584 = 4*q + 4*i, -1623 = -4*q - i + 1955. Suppose 3*t - q = 1035. What are the prime factors of t?
643
Suppose 4*p - 15 = -11. Let i be (-8 + 2 - -7) + 199/p. Suppose -5*n + 110 = -i. What are the prime factors of n?
2, 31
Suppose 0 = b + 2*w - 1823 - 4198, 4*w = 4*b - 24048. What are the prime factors of b?
3, 5, 401
Suppose -19 = c + 4*z - 2, -4*c - 89 = -5*z. Let h be