a. Let x(g) be the first derivative of -g**4/4 - g**3/3 - g**2/2 + 2*g + 1. What are the prime factors of x(n)?
2
Suppose -i + 26 - 23 = 0. Suppose -2*b = 3*b + i*k - 1552, -4*k = 4. What are the prime factors of b?
311
Let l(q) = 6*q**2 + 3*q + 1. Let o be l(-1). Suppose 0 = 5*v - 4*p - 279, -o*p = 4*v + v - 311. Let n = 97 - v. List the prime factors of n.
2, 19
Let z = -722 + 724. Suppose -z*c - 651 = -4299. List the prime factors of c.
2, 3, 19
Suppose 592*a - 596*a = -24492. What are the prime factors of a?
3, 13, 157
Let m(g) = 2111*g - 7113. What are the prime factors of m(9)?
2, 3, 7, 283
Suppose 63 = 10*h - 147. Suppose 4044 = h*s - 4461. What are the prime factors of s?
3, 5
Let k(s) = -18*s - 30 + 11 + 2 + 4 + 9. Suppose d = b, 0 = 5*b - 2*d + 2 + 1. What are the prime factors of k(b)?
2, 7
Let j be 18/(-12)*(1 + -3). Suppose -z - 2*p + 9 = -2, -2*p + 21 = j*z. Suppose 0 = z*k - 373 - 42. What are the prime factors of k?
83
Let v be 45 + -42 + (4 - 0). Suppose 4900 + 2107 = v*r. List the prime factors of r.
7, 11, 13
Suppose -3*b + 16 = -d, -5*d - 28 = -5*b + 2. Suppose b*h - 9*h = 2*i - 1036, 3*i + 2*h - 1534 = 0. List the prime factors of i.
2, 127
Suppose -h + 5*h = -576. Let x = 66 - h. Suppose -s - s = -x. What are the prime factors of s?
3, 5, 7
Let m(s) = 67*s + 2460. List the prime factors of m(-12).
2, 3, 23
Suppose p + 3 = -0. Let a be -1 + 0 + p/(-1). List the prime factors of a/2*3 + 0 + 2.
5
List the prime factors of (-36)/(-30)*(-3675)/(-2).
3, 5, 7
Let t be (0/(-1) - 1)*1. Let u be (-2 + 35)*(-2 - t). Let q = 53 + u. What are the prime factors of q?
2, 5
Let v(s) = 50*s**2 - 422*s - 44. What are the prime factors of v(22)?
2, 11, 13
What are the prime factors of (25171 - 285) + 1*10?
2, 389
Suppose 235*a - 6 = 237*a. What are the prime factors of (-292)/(-20) - a/(-5)?
2, 7
Let z = 9968 - 4298. List the prime factors of z.
2, 3, 5, 7
Let y(f) = f**3 - 14*f**2 - 6*f + 30. Let b be y(14). Let u = 54 + b. Suppose 2*d - 3*x - 22 = -u*d, -4*d - x = -44. What are the prime factors of d?
11
Suppose -717 = -3*n + 1143. What are the prime factors of n?
2, 5, 31
Let i(c) = 42*c + 13. Let v be i(8). Let p be -1 + v/(-6) + 7/42. Let b = p - -65. List the prime factors of b.
2, 3
Let l = 3 + 0. Let b(x) = 34 + 7*x**2 + 2*x + x**2 + 4*x**l - 3*x**3. What are the prime factors of b(-7)?
3, 23
Let x be -233*(-1)/3 - 4/6. Let k = -75 + x. Suppose k*t - 117 = -2*t - g, -t = g - 33. List the prime factors of t.
2, 7
Suppose 2 + 8 = 5*z, z = -4*n + 898. Suppose -2*o = -o - n. Suppose -712 = -2*p - o. List the prime factors of p.
2, 61
Suppose -3*s = -4*p - 2 - 1, 31 = 2*p + 5*s. Suppose 0 = -p*u - 3*b - b + 2646, 3*b = -u + 877. List the prime factors of u.
2, 443
Let h(n) = 3*n - 14*n - 19 + 9*n + 6*n. Let c be h(6). Suppose -c*v + 3*a = -406, v - 3*a = -8*a + 98. List the prime factors of v.
83
Suppose -14*t - 134 = 90. What are the prime factors of 302*2/36 - t/72?
17
Let r be 54/72 + (-2)/24*-3. List the prime factors of (2/(-4))/(r/(-2094)).
3, 349
Let x be ((-70)/28)/((-2)/20). Suppose x = -4*i + 9*i. Suppose -370 = -5*a + i*h, -h + 96 = a + 20. What are the prime factors of a?
3, 5
Let x = -8011 - -8104. List the prime factors of x.
3, 31
Let d(n) = 1901*n + 520. List the prime factors of d(22).
2, 3, 7057
Let y be (1/2)/((-2)/(-20)). Suppose -403 = -y*g + 2*s - 5*s, -186 = -2*g + 5*s. What are the prime factors of g - (-3 - (-2 - 2))?
2, 41
Suppose -9*v + 9 = -12*v + g, 4*v = 3*g - 7. What are the prime factors of 0/(v - -2) + 195?
3, 5, 13
Suppose -243 = 5*j - 258. Suppose -5*l + 4*i = -l - 448, 3*l + j*i - 330 = 0. List the prime factors of l.
3, 37
List the prime factors of 462856/72 - (-100)/(-180).
2, 1607
Let y be (-25 - 0)*(18/(-10))/9. Suppose y*w + 516 = 2*s - 2138, -5*w = -4*s + 5318. What are the prime factors of s?
2, 3, 37
Suppose 0 = 4*d - 5*o + 88 - 63, 20 = -d + 4*o. Let p(b) = -3*b + 4*b + 104 + 3*b. List the prime factors of p(d).
2, 13
Suppose 284 = 4*x - 3*x. Let k(c) = 5*c**2 + 56*c - 39. Let s be k(-12). Suppose 13*p = s*p + x. List the prime factors of p.
71
Suppose 5*y = 2*v + 2, 10*y - 4*v - 4 = 11*y. What are the prime factors of (-8 + y)/((-18)/1359)?
2, 151
Suppose -7*u = 5*u - 120. Suppose 0 = 6*t - u - 2. Suppose 2*b - 3*v = 321, -3*v - 800 = -5*b + t*v. What are the prime factors of b?
3, 53
Let m = -10786 - -16010. List the prime factors of m.
2, 653
Suppose 2*b + 3*b - 3 = -2*l, -2*b - 5*l - 3 = 0. Let o(t) = 8*t**2 - t - 1. List the prime factors of o(b).
2, 3
Suppose 9 = -5*h - 216. List the prime factors of -309*20/h - (-2)/(-6).
137
Suppose 7*j = 3*j + 44. Suppose j*t = 9*t + 70. What are the prime factors of ((-18)/14)/3 - (-2255)/t?
2
Let m(p) be the third derivative of p**4/12 - 29*p**3/6 + 3*p**2. Let v be m(11). Let o(w) = 5*w**2 - 7*w - 7. List the prime factors of o(v).
7, 41
Let o = 31 + 7. Suppose y - 419 = -o. What are the prime factors of y?
3, 127
Let f(c) = c**2 - 15*c + 65. Let h be f(13). Suppose -172 = -43*x + h*x. List the prime factors of x.
43
List the prime factors of 5*((-24515092)/(-95))/29.
2, 7, 227
Let z = 69 - 67. Suppose -z*u - 19 = 5*s, 2*u = -4*s + s - 9. Suppose u*m - 285 - 342 = 0. List the prime factors of m.
11, 19
Let j = 17 - -3. Let h be (j/12)/((-3)/9). List the prime factors of (-2)/h - 2530/(-50).
3, 17
Let u(m) = -23*m**3 + 2*m**2 + 6*m + 8. Let q be u(-2). Suppose t - q = -d + 136, -2*t = d - 653. What are the prime factors of t?
7, 47
Let m be (-13448)/(-10) + 41/205. Let t = 2411 - m. List the prime factors of t.
2, 13, 41
What are the prime factors of ((-51504)/(-80))/(21/70)?
2, 29, 37
Let d(r) = -26 - 18 + 13 - 5*r. Suppose 7*k - 18*k - 176 = 0. What are the prime factors of d(k)?
7
Let g be (28/10 - 1)/(5/25). Suppose -2*k + 147 - g = 0. List the prime factors of k.
3, 23
Let j be (-76)/(-342) - 24028/(-9). List the prime factors of (7/(42/j))/1.
5, 89
Suppose -3*i + 38289 = 2*a, 5*i + 5*a - 74415 + 10590 = 0. List the prime factors of i.
3, 4253
Let c = 30945 + -29788. List the prime factors of c.
13, 89
Suppose 3*o = 4*o + 4*h - 102, -218 = -2*o - h. Suppose 4*g + o - 294 = 0. What are the prime factors of g?
2, 23
Suppose 47*o = 69*o - 611402. What are the prime factors of o?
27791
List the prime factors of 276/(3 - 354/114 - 2376/(-18601)).
2, 3, 23, 89
Let f(k) = 21*k - 14 - 41 + 6 + 4. What are the prime factors of f(21)?
2, 3, 11
Suppose 2*w - 645 = -3*w. Suppose 29 + w = 3*n + 4*a, 0 = -5*n + 3*a + 215. Let c = n - 22. List the prime factors of c.
2, 3
Let z(t) = -30*t - 208. Let j be z(-7). Suppose -4 = 29*x - 27*x, 1020 = j*p - x. What are the prime factors of p?
509
Let f(x) = x**3 + 22*x**2 - 49*x - 28. Let p be f(-24). List the prime factors of (6 - p)*3252/20.
2, 3, 271
Let t be 12/9 - 4/(-6). Let f(a) = 2016*a + 22 - 56 + 16 + 22 - 1916*a. List the prime factors of f(t).
2, 3, 17
Suppose -62 = -5*c - 4*p, -34 = -4*c - 2*p + 12. Suppose 0 = c*s - 15*s + 2820. Suppose 4*a - 208 = s. List the prime factors of a.
193
Let f = -109 - -114. Suppose 3*p - 8*s = -9*s + 2152, -f*s = 2*p - 1452. List the prime factors of p.
2, 179
Let j = 118206 + -44949. What are the prime factors of j?
3, 24419
Let o = 23137 - 12020. List the prime factors of o.
11117
What are the prime factors of (-465)/45*(-2710 - 14)?
2, 31, 227
Let d = 32 - 30. Suppose 0 = -3*a + d*f - 4*f + 1582, -3*f = 3. Suppose -5*y = p - a, -2*y = -7*y + 5*p + 540. List the prime factors of y.
2, 53
Suppose -3*w - 26421 - 22176 = -2*z, 5*w + 24281 = z. List the prime factors of z.
2, 3, 4051
Suppose 10*s - d + 35 = 6*s, -7 = s - 2*d. Suppose -a - 4*a + 3*i = 60, -5*a - 70 = -5*i. List the prime factors of 181*1 + 1*a/s.
2, 7, 13
Let d(c) = 10*c - 1. Let m be d(-11). Let v(o) = 18*o - 24. Let u be v(-9). Let r = m - u. List the prime factors of r.
3, 5
Suppose 5*o - 12 = -4*i, -o - 9 - 6 = -5*i. Suppose -4*v + 261 = -191. Suppose i*j = 413 - v. What are the prime factors of j?
2, 5
Suppose 0 = -i + 3*f + 18886, 5*i + 17279 - 111661 = -f. What are the prime factors of i?
43, 439
Let d be 3/(((-60)/(-25))/4). Suppose 0 = -u, -4*u + 5 = d*w + 35. What are the prime factors of w*14*(0 - 1)?
2, 3, 7
Let x(d) = -53*d - 603. List the prime factors of x(-14).
139
Let v = 14182 - 11111. 