a.
3
Let p(x) = -x**3 - x - 21. Let n be p(0). Let u = -19 - n. List the prime factors of u.
2
Suppose 3*c - 45 = 5*x - 2*x, -5*x + 5 = 3*c. What are the prime factors of c?
2, 5
Let n(j) be the first derivative of j**3/3 + j**2 - 7*j + 1. What are the prime factors of n(-7)?
2, 7
Let s be (10/(-6) + 0)*-87. Suppose 5*u - s + 40 = 0. What are the prime factors of u?
3, 7
Let h(l) be the third derivative of l**5/60 + l**4/4 + l**3/3 - 2*l**2. Let d be h(-5). What are the prime factors of (5 - -16)*(-2)/d?
2, 7
Let p(s) = s**3 - 8*s**2 + 7*s + 3. Let h be p(7). Suppose -4*y + 7 = 3*w, y - 11 = -h*w - 4*y. What are the prime factors of 2*(-1)/w*12?
2
Suppose -7 = -f - 3*n, -5*f + 2*n = -69 + 17. Let p = 14 - f. Let a = 10 - p. What are the prime factors of a?
2, 3
Let n(a) = a**3 - 6*a**2 + 6*a - 2. Let z be n(5). Let b(r) = 2*r**3 - r**2 + 3. List the prime factors of b(z).
2, 3
Let d(s) = -31*s - 13*s + 2*s - 2. List the prime factors of d(-1).
2, 5
Suppose 3*w = -4 + 61. What are the prime factors of w?
19
Let z be (1 - 7)*1/(-3). Suppose 74 = z*i - 0*i. What are the prime factors of i?
37
Let y(f) = f**3 + 4*f**2 - f. Let a be y(-4). Suppose 0 = -5*x - 2*l, 1 = x + l + a. Suppose -j + x*j - 18 = 0. What are the prime factors of j?
2, 3
Let u = 8 + -11. Let i = 7 + u. Suppose 2 - 14 = -i*s. List the prime factors of s.
3
What are the prime factors of (-598)/(-6) - (-4 + (-44)/(-12))?
2, 5
Let m(f) = -15*f**3 + 25*f**2 + 9*f - 29. Let y(g) = 7*g**3 - 12*g**2 - 4*g + 14. Let b(t) = 6*m(t) + 13*y(t). What are the prime factors of b(6)?
2, 5
Let m = -10 - -14. Suppose r = -m*v - 24, -2*r = -0*v - 2*v - 2. Let p = 1 - v. List the prime factors of p.
2, 3
Let r(g) be the first derivative of -13*g**5/120 + g**4/24 - g**3/3 + 3. Let x(n) be the third derivative of r(n). What are the prime factors of x(-1)?
2, 7
Suppose -3*x - u + 59 = -2*u, 3*x = -2*u + 44. Suppose -4*l - 6 - x = 0. Let v(c) = c**3 + 5*c**2 - 9*c - 7. What are the prime factors of v(l)?
11
Suppose -5*d - 4*f + 1060 = -0*d, 2*d - 2*f = 424. What are the prime factors of d?
2, 53
Let q = -2 - -2. Let a(s) = -2 + q - 6 - s**2 - 8*s. List the prime factors of a(-6).
2
Let q be (-2)/9 + (-820)/(-45). Let c = q - 3. What are the prime factors of c?
3, 5
Suppose -702 = -3*p + 78. What are the prime factors of p?
2, 5, 13
Suppose -4 = -h - 0*h. Let u(s) = s**3 - 4*s**2 + 2*s. List the prime factors of u(h).
2
Suppose -149 = -5*t + 2*q, 4*t + 3*q - 136 = -q. What are the prime factors of t?
31
Let u = 8 - 4. Suppose 0*k + 37 = 4*a + 3*k, -u*k + 19 = 3*a. What are the prime factors of a?
13
Let m(u) = 4*u**2. Let i be m(-1). Suppose 13 - 5 = i*v. List the prime factors of v.
2
Suppose 2*p - 5*b - 9 = 0, p - b + 3 = -0*p. What are the prime factors of 104/6 + p/24?
17
Let f(u) be the third derivative of 0 + 0*u - 3*u**2 - 7/12*u**4 + 0*u**3. What are the prime factors of f(-1)?
2, 7
Let a = 112 + -44. What are the prime factors of a?
2, 17
Let u = 192 + -99. List the prime factors of u.
3, 31
Suppose -2*l + 148 = -6*l. Let q = l - -60. List the prime factors of q.
23
Let p(g) = g**3 + 9*g**2 + g - 10. Let k be p(-8). Suppose 3*a = a + k. List the prime factors of a.
23
Let u(x) = 4*x**3 - 4*x**2 + 6*x. Let j(h) = 3*h**3 - 3*h**2 + 5*h - 1. Let t(l) = 3*j(l) - 2*u(l). What are the prime factors of t(2)?
7
Suppose w - 4 = -2. Suppose w*h - 15 = h. Suppose 5*b - h = 0, 3*s + 0*s - 63 = -4*b. What are the prime factors of s?
17
Let x = 206 - 91. What are the prime factors of x?
5, 23
Suppose 7*d = 3*d + 116. List the prime factors of d.
29
Let k(u) = u**2 - u + 1. Let d be k(-2). Suppose 3*g - 7 = -5*h + 2, h = 2*g + d. Suppose 15 = 5*m, m - 6 = -h*q + 6. List the prime factors of q.
3
Let s be (-1)/(1/(-7) - 0). Suppose -s = -2*g + 75. What are the prime factors of g?
41
Let q = 5 + -2. Suppose -4*w + q*w - 3 = -5*v, 5*w = v - 15. List the prime factors of (-1 - v)/(7/(-161)).
23
Let p(b) = b**3 - b**2 - b + 13. Let o be p(0). Let k = o + -5. List the prime factors of k.
2
Let x = 38 + -26. What are the prime factors of x?
2, 3
Let k(i) = -i**3 + 5*i**2 - 4*i + 2. Let j be k(4). Suppose -3 = -j*d + 1. What are the prime factors of (18/(-15))/(d/(-30))?
2, 3
Let r(v) = -v**3 - 4*v**2 - 5*v - 4. Let o be r(-3). Suppose 4 = -o*q, -3*g + q = -2*q - 42. What are the prime factors of (0 - g)*4/(-3)?
2
Suppose -5*z + 180 = 5*g, 4*z + 21 + 141 = 5*g. List the prime factors of g.
2, 17
Let v be -1 - ((-2 - -1) + -7). Let q(a) = -2*a. Let o be q(-1). Let c = v + o. What are the prime factors of c?
3
Let b be (-99)/(-2)*(-8)/(-12). Suppose 3*u - 63 = b. What are the prime factors of u?
2
Let x(n) = -27*n**3 - 11*n**2 + 4*n + 2. Let l(o) = -13*o**3 - 6*o**2 + 2*o + 1. Let r(h) = -11*l(h) + 6*x(h). List the prime factors of r(-1).
2, 3
List the prime factors of (25 + 2)*(-3)/(-1).
3
Let k = 104 + 137. What are the prime factors of k?
241
Let p be 2/(((-10)/(-188))/5). Let y be (-2)/(-8) - p/(-16). Suppose 12 = 2*x - y. What are the prime factors of x?
2, 3
Suppose -n + 2*u = 3*u - 3, 0 = u - 3. Suppose -2*c = 5*h - 30, 2*h = -n*h - c + 11. List the prime factors of h.
2
Let n(z) = z**2 - 13*z - 3. Let b be n(12). Let s = b - -27. What are the prime factors of s?
2, 3
What are the prime factors of 5*((-36)/(-15) - 2) - -26?
2, 7
Suppose -5*a + 89 = 3*k - 4*a, 5*k - 2*a - 152 = 0. What are the prime factors of k?
2, 3, 5
Suppose 175 = 5*n - q + 2*q, -3*n = 5*q - 127. Let v = 59 - n. List the prime factors of v.
5
Let z be (-6)/(-5)*(-1 - -11). What are the prime factors of 87/z - 2/8?
7
Let l(r) = -6*r**3 - 3*r**2 + 1. Let v be l(2). Let k = v - -91. List the prime factors of k.
2
Suppose -3*p + 5*g + 137 = 0, 2*p + p - g - 157 = 0. Suppose -k + 0*k + 2*w + 54 = 0, 4*w - p = -k. List the prime factors of k.
2, 3
Suppose -5*j = -4*j. Let o(k) = -k + 2. Let g be o(j). Suppose -51 = -5*m + f, -g*m + 0*f - f + 19 = 0. What are the prime factors of m?
2, 5
Suppose -4*f = -710 - 182. What are the prime factors of f?
223
What are the prime factors of 5 - (-5 + -1 + 3)?
2
Suppose 0 = 4*i - 4*d - 28, 3*i + d - 5*d = 20. What are the prime factors of i?
2
Let v(t) be the second derivative of t**4/12 - t**3/2 + t**2 - 4*t. List the prime factors of v(-3).
2, 5
Let o(j) = -7*j**3 + 5*j + 6. What are the prime factors of o(-2)?
2, 13
Let m(g) = g**3 - 5*g**2 - 5*g - 1. Let x be m(6). Let j(c) = c - 3. Let d be j(x). Suppose 0*u - 6 = -d*u. List the prime factors of u.
3
Let d = -2 - -37. List the prime factors of d.
5, 7
Let k(q) = -q**3 - 9*q**2 - 7*q + 2. Let b be k(-8). Let p(y) = -y - 1. List the prime factors of p(b).
5
What are the prime factors of (-6)/(-2) + 4 + 11?
2, 3
Let l(g) = g**3 + 2*g**2 - 7*g + 3. What are the prime factors of l(5)?
11, 13
Let f = 4 - 0. Let v(s) = -s**3 + 6*s**2 - 4*s - 3. List the prime factors of v(f).
13
Let w(x) be the first derivative of -3*x**2 - 5*x - 1. What are the prime factors of w(-5)?
5
Let c = 796 + -410. What are the prime factors of c?
2, 193
Let o = -2 + 8. Suppose j - o*j - 105 = 0. Let t = 30 + j. What are the prime factors of t?
3
Suppose 2*f = -2*f + 8, -30 = -4*x - 5*f. Let b(i) = i**3 - 4*i**2 - i - 7. What are the prime factors of b(x)?
13
Suppose 3*m - 5*l = 61, 5*m - 4*l = -25 + 144. Let n be (-1)/((-34)/(-32) + -1). Let s = m + n. What are the prime factors of s?
11
Let q(p) = -p + 6. Let v be q(9). What are the prime factors of 3 + -3 + (-1 - v)?
2
Suppose -3*y = -4*j + 469, 4*y = j - 172 + 58. List the prime factors of j.
2, 59
Let b = 4 + -51. Let a = b - -68. What are the prime factors of a?
3, 7
Let h = -13 + -17. Let j = -5 - h. List the prime factors of j.
5
Suppose -8 = 3*b - 2. Let z be (b/(-3))/(6/27). Suppose -y + z = -h - 5, h = -y + 2. What are the prime factors of y?
5
Suppose 9 + 3 = 3*q - 2*j, 6 = -3*q - 4*j. Suppose -1 + 11 = q*z. Suppose z*h - 4*h = 3. What are the prime factors of h?
3
Let s be (-1)/(2/(-1) + 1). Suppose -l = -2*w + 7, -3*l + w = -0*l + s. Suppose -2*b + 5 = l. List the prime factors of b.
2
Let g(n) = 3*n - 3. Let c be g(5). Let h = c - -5. List the prime factors of h.
17
Let q = -154 + 305. List the prime factors of q.
151
Suppose d - 4 = -2*w + 44, -3*d - 4*w = -144. List the prime factors of d.
2, 3
Let x(t) = t**2 + 5*t