- 143 = -4*s + 5*u, -151 = -4*s - 3*u. Suppose -s = k - 30. Let q(j) = j**3 + 9*j**2 - 5*j + 2. What are the prime factors of q(k)?
3, 5
Let h(o) = o**3 - 19*o**2 + 15*o + 7. Let n be h(18). Let k = n + -31. Let v = 14 - k. List the prime factors of v.
2, 23
Suppose -61*n = -40*n + 21987. Let m = 392 - n. List the prime factors of m.
1439
Let h be 1 + (9/(-81) - (-17102)/18). What are the prime factors of (4 - 6)*h/(-2)?
3, 317
Let s(c) = -73*c - 509. Let u be s(-7). Let b be (-12)/(-10)*(-5)/(-2). Suppose -b*t = -5*y + 361, -4*t - 133 = -u*y + t. What are the prime factors of y?
2, 37
List the prime factors of (10465 - -8) + (15 - -1).
17, 617
Suppose -3*v + 203 = 5*q + 1119, -574 = 2*v - 4*q. Let s = v + 587. What are the prime factors of s?
2, 5, 29
Let c be 2 - ((4 - -5) + -3). What are the prime factors of (-1047)/(-12) + 1/c?
3, 29
Let c = -15 + 21. Let q be (-24)/20 - (-41448)/40. Suppose 3*u = -c*u + q. What are the prime factors of u?
5, 23
Let v(c) = -62*c + 367. Let n(s) = 56*s - 367. Let p(z) = -3*n(z) - 4*v(z). What are the prime factors of p(23)?
3, 491
Let u(o) be the first derivative of 5*o**3/6 - 4*o**2 - 3*o - 7. Let x(i) be the first derivative of u(i). List the prime factors of x(18).
2, 41
Let l be -4*(-2 + (-1265)/4 + -6). Let f = 140 + l. List the prime factors of f.
3, 479
What are the prime factors of ((-116640)/(-9))/(-30)*(-2)/4?
2, 3
Let t(l) = 48*l + 55. Let s be t(-1). What are the prime factors of 7 - ((-1239)/s + 2)?
2, 7, 13
Suppose 2*s - 321*p + 325*p = 2578, -5180 = -4*s - 5*p. What are the prime factors of s?
3, 5, 29
Suppose 3*o + 4 + 5 = 5*v, 3*o - v = 3. Suppose 21 = -o*k + 323. What are the prime factors of k?
151
Let c(g) = -11430*g + 9 + 22864*g - 11435*g - 10 + 32. Suppose 3*l - 4*l - u = -2, -u + 2 = 3*l. What are the prime factors of c(l)?
31
Suppose 5*l = b + 17, 4*l - 5 = -4*b + 23. Suppose 0 = l*k - 8. What are the prime factors of -2*k/(-4)*85?
5, 17
Suppose -365877 + 3293617 = 121*t - 36*t. What are the prime factors of t?
2, 79, 109
What are the prime factors of (-2)/4*(-16 + -7276 + -6)?
41, 89
Let c(h) = 25*h + 13. Let y(v) = 75*v + 40. Let s(z) = -11*c(z) + 4*y(z). Let r(a) = 74*a + 50. Let o(i) = -4*r(i) + 11*s(i). List the prime factors of o(-9).
2, 11
Let i = 431 + -1148. Let c = -276 - i. Suppose -6*j - c = -15*j. List the prime factors of j.
7
Let n be 80/30 - 4/(-12). Suppose 5*p - 407 = -4*k + 945, k = n*p + 321. What are the prime factors of k?
3, 37
List the prime factors of (((-47469344)/(-78))/53)/(1/3).
2, 2153
Let d = -131 + -78. Let k = d + 424. List the prime factors of k.
5, 43
Suppose -5*j + 8 + 10 = -x, -3*j = 4*x - 20. Suppose 5*g + 5*m - 3*m = 304, -242 = -j*g - m. Suppose -4*u + 64 = -g. List the prime factors of u.
31
Let w = -204 + 207. Suppose q + w*n - 380 = 4, -5*q - 4*n + 1964 = 0. What are the prime factors of q?
2, 3, 11
Let c(j) = 30*j**2 - 3*j - 10. Let f(t) = 31*t**2 - 3*t - 9. Let u(d) = -5*c(d) + 6*f(d). Let w be u(-1). List the prime factors of 4 + (-4 + -1)*(-1589)/w.
3, 7, 11
Let i(v) = v**3 - 12*v**2 + 14*v - 22. Let w be i(11). Suppose 2*u - w*u = -360. Let p = -36 + u. What are the prime factors of p?
2
List the prime factors of 155688/(-26)*1/(-3).
2, 499
Let f(z) = -z**2 + 1 + 7*z - 21*z - 15. Let a be f(-14). What are the prime factors of -6 + 3 - -4 - a?
3, 5
Suppose -3917 = 5*l - 4*d + 3*d, -2*l - 1565 = -d. Let r = -465 - l. List the prime factors of r.
11, 29
Let c = -2344 + 3729. What are the prime factors of c?
5, 277
Suppose 0 = 74*l - 84*l + 5010. Suppose 8*o - 3545 = 3*o. Let r = o - l. List the prime factors of r.
2, 13
Suppose 117*h - 114*h = 15. Let p = 3 + -1. Suppose -4*r = h*z - 504, p*z - r - 117 = 95. List the prime factors of z.
2, 13
Suppose -388222 = -18*n + 181028. What are the prime factors of n?
5, 11, 23
Suppose 11*b + 6*b = 68. Suppose -b*u + 260 = -340. What are the prime factors of u?
2, 3, 5
List the prime factors of 8*3/60 + 30918/5.
2, 773
Suppose l = -2*f + 52524 + 19064, f - l = 35791. List the prime factors of f.
3, 41, 97
Suppose 4*s - 3*v = 47719, 107*v + 47712 = 4*s + 111*v. List the prime factors of s.
79, 151
Let m(t) be the third derivative of t**5/30 + t**4/6 - 13*t**3/6 - 4*t**2. Suppose 0 = -2*x + 6*x - 24. List the prime factors of m(x).
83
Let a(c) = -22*c**3 - 32*c**2 - 147*c - 73. What are the prime factors of a(-9)?
2, 11, 167
Let s(v) = -v**3 - 4*v**2 + 2*v - 15. Let p be s(-5). Suppose p = 5*k - 10, -h - 3*k + 454 = k. What are the prime factors of h?
2, 223
Suppose 125 = 170*u - 119*u - 79. Suppose 8 = 2*k, k - 2*k + 6894 = 5*x. Suppose u*o - x = -o - 3*n, -552 = -2*o - 2*n. What are the prime factors of o?
5, 11
Let u = 136 + -99. Suppose -m + 12 = -u. Suppose m*h = 50*h - 101. List the prime factors of h.
101
List the prime factors of 1 + (-80)/16 - -46617.
7, 6659
Let a = 626 - 626. Suppose a = 10*z - 1338 - 7972. List the prime factors of z.
7, 19
Let w be (-90)/20 + 5 - 93/(-2). Suppose -4*p + 2766 = -2*f, -5*f + 2740 + w = 4*p. What are the prime factors of p?
3, 7, 11
Suppose -3*f + 772 + 968 = 0. Suppose -112 - f = -2*x. Suppose 0 = -2*u - 5*r + 152, 6*u - x = u - 4*r. List the prime factors of u.
2, 3, 11
Let f be 4/(-36)*-70 + (-8)/(-36). List the prime factors of (-2996)/f*2/(-1)*2.
2, 7, 107
Let j(u) = -399*u + 2029. What are the prime factors of j(-29)?
2, 5, 17
Let k(j) = -29*j**2 - 16*j - 31. Let z(f) = -7*f**2 - 4*f - 8. Let c be 3/((12/8)/1). Let r(v) = c*k(v) - 9*z(v). What are the prime factors of r(-3)?
43
Let s be (-1516)/10 - 26/65. Let t be (-4)/(-18) + (-515)/9. Let w = t - s. List the prime factors of w.
5, 19
Let z(j) = -10 - 11 - 12 + j - 13 + 58. Suppose -4*p - 35 = p. List the prime factors of z(p).
5
Let r(i) = 5*i**3 - 4*i - 2 + i**2 - 11*i + 17*i. List the prime factors of r(4).
2, 3, 19
Let f(n) be the first derivative of 12*n**3 - n**2/2 + 8*n + 45. List the prime factors of f(-3).
5, 67
Let o be (1 - 3)*(-6)/(-4). Let x be ((-9)/12 - (-5)/60)*o. Suppose -n = -5*g - 0*n + 369, -5*g - x*n = -357. List the prime factors of g.
73
Let m = -5316 + 9342. List the prime factors of m.
2, 3, 11, 61
Suppose -4*z + 7 = -5*z. Let x be ((-4)/(-5))/(z/(-35)). Suppose -x = 4*q - 12. List the prime factors of q.
2
Suppose 20*h - 996 = 18*h. Let d = -78 + h. What are the prime factors of d?
2, 3, 5, 7
Let f be -1*((5 - 1) + -9). Let j(o) = -30*o - 21. Let u be j(f). Let n = u + 323. What are the prime factors of n?
2, 19
Let j be (-18473)/65 - 3/(-15)*-4. Let o = j + 578. What are the prime factors of o?
293
Let y(n) = -13*n**2 - 22 - 34*n + 21*n + 48 - n**3 - 11*n. What are the prime factors of y(-17)?
2, 3, 5, 53
Let w = 16809 - 8921. List the prime factors of w.
2, 17, 29
Let t be 9/(54/456) - (-1)/(-1). Suppose 289 + t = n. List the prime factors of n.
2, 7, 13
Let q be (0/(-2))/(2 + -3 + 0). Suppose 2*j - 5*u - 777 = q, 5*u - 348 = -j + 78. List the prime factors of j.
401
Let g be (2 + -3)*12/(-4). Suppose -2*p = -c - g, 4*p - 7*c + 3*c = 4. Suppose 5*l + 96 = n, 5*n + p*l = l + 480. List the prime factors of n.
2, 3
Let s be ((44/8)/(-11))/((-5)/50). Suppose -s*t + 19140 = 7*t. List the prime factors of t.
5, 11, 29
Suppose 186*x - 119925 = 173*x. Suppose 5*a + 5*j - 6*j - x = 0, 5*a = -j + 9235. List the prime factors of a.
2, 13, 71
Let k be -664 - -4*(-35)/(-28). Let w = 850 - k. List the prime factors of w.
3, 503
Let i(y) = 20*y - 36. Let k be i(2). Suppose o - k = -3*o, -4*o + 2684 = 5*z. List the prime factors of z.
2, 67
Suppose -3671 = 4*y - 18263. List the prime factors of y.
2, 3, 19
Suppose -42513 = -15*v + 6792. List the prime factors of v.
19, 173
Let r(n) = -407*n - 9. Let i be r(-3). Suppose 48 + i = 28*x. What are the prime factors of x?
3, 5
Let z = 34386 - 8826. What are the prime factors of z?
2, 3, 5, 71
Let z(s) = -s**3 - 24*s**2 + 53*s - 52. Let u be z(-26). Let v = u - -156. List the prime factors of v.
2, 3, 13
Suppose 41*y + 27*y - 243015 = -17*y. What are the prime factors of y?
3, 953
Suppose 3*j + 2 - 53 = 5*n, -j + 4*n + 17 = 0. Let l(v) = 5 + j*v + 18*v - 9*v. What are the prime factors of l(3)?
83
Let z = 2821 - 1009. Let m be (-109)/(-3) + (-1)/3. What are the prime factors of (1 - -2)*z/m?
151
List the prime factors of (2*-1)/(1/52204*-8