- 1. List the prime factors of y(-5).
2, 3, 7
Let q be (-68)/(-18) + 4/18. Suppose -q = -3*u + 2*u. Suppose -20 = -2*x - 2*c, u*x - c - 14 = 31. What are the prime factors of x?
11
Suppose -m = -2*m - 4*b, 0 = 2*m - b - 27. Suppose -5*w - 4*u = -123, 4*w - u = 99 + m. What are the prime factors of w?
3
Let o(l) = 4*l - 4. Suppose -4*y - 5*h - 9 = 0, -4*y - 4*h + 11 = -3*h. What are the prime factors of o(y)?
2, 3
Suppose -5*g + 2*n + 8 = -0, 0 = -5*g + 4*n + 16. Suppose g = 4*q - 3*q + 3. Let d(m) = -m**3 - 2*m**2 - 1. List the prime factors of d(q).
2
Let v be -1 - (3/(-1) - 0). Let k(o) = -o**3 + 2*o**2 + 5*o - 2. Let g be k(3). Suppose -v + g = -2*n, 2*z - 13 = 5*n. What are the prime factors of z?
2
Suppose -20 = -4*t + 8. Let a(g) = g**2 - 7*g + 10. What are the prime factors of a(t)?
2, 5
What are the prime factors of 1 + (2/5 - 10504/(-65))?
163
Let u(o) = o**3 + 9*o**2 + 6*o - 10. Let l be u(-7). Suppose 4*r - l = 22. Let h = r - 12. List the prime factors of h.
5
Suppose -4*v - 2*y - 56 = 0, -3*v - 3*y = -5*v - 12. Let k be 4/(-24) + (-50)/v. Suppose -46 = -6*a + 2*a + 2*s, k*s = a - 22. What are the prime factors of a?
2, 5
Let w = 1 - -8. What are the prime factors of 222/27 + (-2)/w?
2
Let r(j) = j**3 + 7*j**2 + 7*j + 9. Let v be r(-6). Let b be (v/(-5))/(3/(-15)). Suppose b*s + 30 = 3*t, -2*t + 1 = -5*s - 13. What are the prime factors of t?
2, 3
Let x = 31 + -10. List the prime factors of x.
3, 7
Let k(p) = -p**3 - 2*p**2 + 7*p. List the prime factors of k(-5).
2, 5
Let o(y) = y**3 - 2*y**2 - 2*y - 1. Let v be o(2). List the prime factors of v - -5 - 3/(-1).
3
Let a(x) = -x**2 + 12*x + 4. Let v be a(12). Suppose -7 - 21 = v*j. Let z = 9 + j. What are the prime factors of z?
2
Suppose 2*p + 4 = l, -5*p = -l - 4*l + 20. List the prime factors of l.
2
Let j be ((-14)/21)/((-2)/(-30)). What are the prime factors of (5 - -2)/((-2)/j)?
5, 7
Let j = 18 - 12. Let b(x) = 7*x - 15. List the prime factors of b(j).
3
Let x(u) = -u**3 - 6*u**2 + 5*u - 12. Let z be x(-7). Suppose -3*f - z*m = -38, 0 = 5*f + 2*m + 2*m - 64. What are the prime factors of f?
2, 3
Let u(w) = -w**3 - 6*w**2 - 5*w + 8. List the prime factors of u(-6).
2, 19
Let x(h) = -6*h - 11. What are the prime factors of x(-7)?
31
Let b(x) = -3*x. Let r be b(-1). Let z = 7 - 5. Suppose 3*s = -r*a + 2*s + 26, -5*a = z*s - 45. What are the prime factors of a?
7
Suppose -8 = 3*k - 7*k. Suppose s = -k*i + 67, -3*i + 91 = 5*s - 20. Suppose -5*r + i = -28. What are the prime factors of r?
2, 3
Let f(p) = 11*p**2 - 12*p + 28. What are the prime factors of f(4)?
2, 3, 13
Let j be 3/3*1 + -5. List the prime factors of j/(-22) + (-62)/(-22).
3
Let m(a) be the third derivative of a**4/12 - 4*a**3/3 + 3*a**2. Let u be m(6). Suppose 3*o + 3 = 6*o - 3*b, -b - 7 = -u*o. What are the prime factors of o?
2
Let h = -39 - -87. Let w(b) = b**2 - 20*b - 41. Let n be w(22). Suppose 0 = n*c - 6*c + h. What are the prime factors of c?
2
Let d = 190 + -20. List the prime factors of d.
2, 5, 17
Suppose 0 = 2*c - 3*c + 28. Let b = c - 14. List the prime factors of b.
2, 7
Let w(h) = h**3 - 10*h**2 + 16*h + 6. What are the prime factors of w(9)?
3, 23
Let y = 24 + -35. Let t = -5 - y. List the prime factors of t.
2, 3
Suppose 4*i = 4*o + 13 + 91, 0 = -5*i + 2*o + 124. Suppose -3*s + i = -21. List the prime factors of s.
3, 5
Let i = -102 + 172. List the prime factors of i.
2, 5, 7
Let r = 20 - -1. Let n = r - 15. What are the prime factors of (-2)/n*(-1 - 5)?
2
Suppose -4*j = 4*v + j - 37, v = 4*j - 17. List the prime factors of v.
3
Suppose 5*w = -3*o + 1202, -4*o - 463 - 264 = -3*w. What are the prime factors of w?
241
Let c be 20/12 + (-4)/(-12). Suppose 0 = c*g - g - 25. What are the prime factors of g?
5
Let t(c) = 2*c + 25. Let i(n) = 2*n - 14. Let s be i(7). What are the prime factors of t(s)?
5
Let r(l) = -l**2 - 7*l + 4. Let q be r(-7). Suppose 5*f - 42 = 3*f - q*g, 0 = 2*g. What are the prime factors of f?
3, 7
Suppose -96 = 6*o - 10*o. Suppose 4 = -4*h, 2*h + o = 5*s - 128. List the prime factors of s.
2, 3, 5
Let i(n) = n + 8. Let g be i(-6). Suppose 0 = g*f - 9 - 15. What are the prime factors of f?
2, 3
Suppose 0*m - 4*m = -168. List the prime factors of m.
2, 3, 7
Let x(i) = 4*i - 1. List the prime factors of x(3).
11
Let m = 1 + 4. Let c(k) = k**3 - 5*k**2 + 2*k. List the prime factors of c(m).
2, 5
Let b(q) = q**3 + 4*q**2 - q - 1. Let g be b(-4). Suppose -34 - 2 = -g*j. Let h = j - 2. List the prime factors of h.
2, 5
Let q(v) = 97*v - 7. List the prime factors of q(2).
11, 17
Suppose 432 = 2*u - 4*j, -3*u + 1028 = 2*u + 3*j. List the prime factors of u.
2, 13
Let a(l) be the second derivative of l**5/20 - l**4/2 + l**3 + 3*l**2 - l. Suppose t = 4 + 1. List the prime factors of a(t).
11
Let w(t) = -7*t - 21. List the prime factors of w(-6).
3, 7
Suppose -3*w - 10 = -2*i, 0*i + 5*i = 4*w + 25. Suppose w*b + 6 = 3*b. Suppose f - b = 3. List the prime factors of f.
5
Suppose g + g = -8. Let z = 18 + g. List the prime factors of z - (-1 - (-4 - -1)).
2, 3
Suppose -4*v - 48 - 16 = -2*j, 0 = -3*j + 5*v + 93. List the prime factors of j.
2, 13
Suppose 5*d + 6 = -5*h + 1, 3*d = 5*h - 19. Suppose -h*z + 16 = -z. What are the prime factors of z?
2
Suppose 2*o = 3 + 1. Suppose 5*g + 80 = 4*v, o*v + g = -g + 58. List the prime factors of v.
5
Suppose -3 = -3*t + 3, -5*t + 18 = 4*f. Suppose 3*g = -f*g. Suppose -2*k = -g*k - 8. What are the prime factors of k?
2
Suppose 0*d - 5 = -d. Suppose -d*x + 48 - 8 = 0. List the prime factors of x.
2
Let l(p) = p**3 + 6*p**2 + 4*p - 5. Let a be l(-5). Suppose a = 3*g - 7*g - 152. Let w = -24 - g. What are the prime factors of w?
2, 7
Let h(i) = 0*i + 5*i**2 + 0 - 1 - i**3 - 3*i + 2*i**3. What are the prime factors of h(-5)?
2, 7
Let b = 15 + -6. Let d be 1 + (-3)/(b/(-21)). Suppose -12 = -3*h + 2*s, h + d - 17 = -s. List the prime factors of h.
2, 3
Let v(t) = -t**3 - 3*t**2 - 2*t - 3. Let c be v(-3). Suppose -o + 2*i = -38, o - 127 = -3*o + c*i. Suppose 5*b - 7 - o = 0. What are the prime factors of b?
7
Suppose -32 = -2*n + 50. Suppose 0 = -3*d + 4*b - n, 0 = -d - d + 4*b - 26. Let u = d + 22. List the prime factors of u.
7
Let j(b) be the second derivative of b**4/12 - b**3/3 - 5*b**2/2 + b. Let q(d) = -d - 10. Let n be q(-15). What are the prime factors of j(n)?
2, 5
Let f be (-8)/(-28) + (-220)/(-14). Suppose -59 - f = -5*x. List the prime factors of x.
3, 5
Suppose 0 = -0*w - w + 8. Let g(a) = -a + 19. Let l be g(w). Suppose -2*n = -3*n + l. List the prime factors of n.
11
List the prime factors of 3/7 + (3 - 1125/(-21)).
3, 19
Let r = -125 + 51. What are the prime factors of (-4)/16 - r/8?
3
Let u(j) = -j**2 + 21*j + 17. List the prime factors of u(16).
97
Let y(x) = 7*x + 1. Let c(k) = -3*k. Let u(i) = 5*c(i) + 2*y(i). List the prime factors of u(-6).
2
Let s = 44 - 24. List the prime factors of s.
2, 5
Let u be 165/2*(-4)/(-3). Suppose 5*z = 5*m - u, 0*z + 4*z = -2*m + 56. List the prime factors of m.
2, 3
Let i(y) = 12*y**2 + 3*y**2 - 4*y**2 + 8 + y**3 - 12*y. What are the prime factors of i(-12)?
2
List the prime factors of (-531)/(-13) - 8/(-52).
41
Suppose -3*t - 2*i - 3 = -5*i, -t = 2*i - 14. Suppose v + t*v = -10, 3*j = -3*v + 18. Let m = 19 - j. What are the prime factors of m?
11
Let y be ((-3)/(-3))/(3/9). Suppose -y*g + 24 = g. What are the prime factors of g?
2, 3
Let b(m) = -18*m**3 - 2*m**2 + 1. Let g be 0 - ((3 - 0) + -2). What are the prime factors of b(g)?
17
Let p be (-10)/(-35) - (-40)/7. Let k(n) = 4*n - 6. Let r be k(p). Suppose -4*d - 41 = -2*j - 3*j, -2*d - r = -2*j. What are the prime factors of j?
5
Suppose 3*p = 4*x + 15, 0 = -x + p - 5. Suppose x = 2*n - n - 21. List the prime factors of n.
3, 7
Suppose -5*b - 8*l + 4*l = -190, 0 = -5*l. What are the prime factors of b?
2, 19
Let z(r) be the first derivative of r**2 - 10*r - 2. List the prime factors of z(7).
2
Suppose -2*z + 62 = 2*l, -25 = -l - 0*z + z. What are the prime factors of l?
2, 7
Suppose 9 = -0*n + n. Suppose n - 25 = -4*v. List the prime factors of v.
2
Let j(s) be the third derivative of s**5/30 + 5*s**4/24 - 2*s**3/3 + s**2. Let f be j(-4). Let z(d) = -d**3 + 9*d**2 - 7*d + 11. List the prime factors of z(f).
19
Let j be (3 - 2) + 10 + -7. Suppose j*m + 35 