1. What is the highest common factor of m and 4864?
19
Let i be ((-6)/45)/((-14)/140)*-42. Let q be (-96)/i*7 - -6. Calculate the greatest common factor of q and 558.
18
Suppose 3*z + 5 - 11 = 0. Let n(k) = 2*k**3 + 6*k**2 - 9*k**2 + 4*k**3 + 4*k - k - 1. Let j be n(z). Calculate the greatest common factor of j and 369.
41
Let h be 29 + 12/(-10 + -2). Suppose 6*r = -0*r + 420. What is the highest common factor of h and r?
14
Suppose 12*p = 282 - 2934. Let h = 78 - p. What is the highest common divisor of h and 13?
13
Suppose -104*j + 106*j - 10 - 20 = 0. Calculate the greatest common factor of 339 and j.
3
Let j(k) be the second derivative of k**5/20 + 5*k**4/6 - 11*k**3/3 + 14*k**2 + 58*k. Let u be j(-12). What is the highest common divisor of u and 164?
4
Let h(f) = -227*f + 9. Let k be h(0). What is the highest common factor of 1545 and k?
3
Let u(o) = -10*o - 14. Let t be u(-4). Let l be (-4)/((-2618)/429 + 6). What is the greatest common divisor of t and l?
13
Let z(h) = h**2 + 4*h - 62. Let b(j) = -7*j**3 - 2*j**2 - j + 1. Let t be b(-1). Let l be z(t). What is the highest common factor of l and 9?
3
Suppose v + 165 = 6*v. Suppose -m + 2*k = -0*m - 8, 5*m - v = 3*k. Suppose 24 = 5*n - 3*o + o, 5*n = -4*o + 42. Calculate the greatest common factor of n and m.
6
Let b(z) = -z + 729. Let n be b(-7). What is the greatest common factor of n and 144?
16
Let x be ((-12)/(-30))/(-1*(-2)/10). Let p be (-92)/(-10) - (x + (-27)/15). Suppose -10*s = -p*s - 25. Calculate the highest common divisor of 225 and s.
25
Suppose -38127*w + 4301 = -38110*w. What is the highest common divisor of w and 713?
23
Let m be ((-26)/(-78))/((-4)/(-108)). What is the highest common divisor of 1206 and m?
9
Suppose 3*r = -5*k + 891, 2*k + r = -0*k + 357. Let x be ((-15)/10)/(6/(-40)). What is the highest common divisor of k and x?
10
Let s be (-7)/1 + (267 - (2 - -5)). What is the highest common divisor of 184 and s?
23
Let a = -9 + 179. Suppose 0*f - 5*f = -a. Suppose 0 = -z + l + 25 + 37, 24 = 4*l. Calculate the highest common factor of f and z.
34
Suppose -129*l - 15776 = -125*l. Let b be 4/(-3) - (-8 - l/(-24)). What is the highest common divisor of 19 and b?
19
Let r(g) = g**3 + 28*g**2 - 447*g - 42. Let f be r(-39). What is the greatest common factor of 16170 and f?
330
Let d = 66 + 36. Suppose 9*l = -2*y + 7*l + d, y = -4*l + 66. Suppose -3*s + 16 = 5*b - y, 3*s - 49 = -4*b. What is the greatest common divisor of b and 52?
13
Suppose -f - 2*k - 6 = -0*f, 2*k + 30 = -4*f. Let b(x) = -x**2 - 7*x - 5. Let z be b(f). Let g = z - -56. What is the highest common divisor of g and 301?
43
Let h(u) = -21*u - 81. Let o be h(-4). Suppose 0 = -o*j + 7*j - 424. What is the highest common divisor of j and 159?
53
Let x(v) = -7*v**3 - v**2 - 8*v - 8. Let s = 113 + -114. Let a be x(s). Calculate the greatest common divisor of a and 12.
6
Let w = 67 + -38. Suppose -5*y = -104 + w. Suppose 2*n + 5 - y = 0. What is the highest common factor of n and 2?
1
Suppose 0*r = r - 2. Suppose 3*t = 5*t - 6. Suppose 12 = -r*f + t*f. Calculate the greatest common factor of f and 6.
6
Let q(i) = 300*i. Let r be q(1). Let o(m) = -23*m + 9. Let k be o(8). Let s = k + r. What is the greatest common factor of 25 and s?
25
Let p be 2 + -2 + (1 - 3). Let s be -2*47/p + -1. Suppose -19712 = 744*y - 36948 - 68324. What is the greatest common divisor of y and s?
23
Let y = 157 - 152. Suppose 540 = d - y*f - 135, -f = -d + 663. Suppose -14*g = -9*g - d. What is the highest common factor of 88 and g?
44
Let f = 7 - 12. Let n(q) = -517*q**2 - q - 12 + 1028*q**2 - 510*q**2. Let a be n(f). What is the greatest common divisor of 18 and a?
18
Let f(r) = -26*r + 1038. Let o be f(31). Calculate the highest common divisor of o and 1189.
29
Suppose 2*u = 2*s + 14, 0*s = -4*u + 3*s + 23. Let r be (-1 - u) + (-253)/(-11). Calculate the highest common factor of r and 70.
10
Suppose -3*c + 2*r = -186, 5*c - 158 = 3*r + 153. Let f(b) = -16*b - 64. Let j be f(-11). What is the greatest common factor of j and c?
16
Let d(a) = -2*a**2 + 3*a + 7. Let j be d(-3). Let g be 7 + (-1)/1 + -2. Let z be 25/j*(-192)/g. What is the highest common factor of 12 and z?
12
Let o be (9 - (-845)/(-26))*-4. What is the greatest common factor of 1175 and o?
47
Let k = -297 + 342. Let l be (10/12 - 3/(-18))*30. Calculate the highest common factor of k and l.
15
Let p be 1 + (-3)/4 - 3115240/(-3040). Calculate the greatest common divisor of p and 50.
25
Suppose -229 + 1154 = 185*b. Let y be (-1)/(-2)*3*-2. Let c be (40/6)/((-1)/y). What is the greatest common divisor of b and c?
5
Let s = 844 - 818. Suppose -96 = -u - s. What is the highest common divisor of 15 and u?
5
Let d be 100/45 + ((-4)/(-18))/(-1). Suppose 0 = -0*f - d*f + 50. Let w be ((-2)/4)/(12/(-3000)). Calculate the highest common factor of w and f.
25
Let m = 160 + -160. Let b = 44 + m. What is the highest common divisor of 22 and b?
22
Let d be (-26 + 18)*673/(-8). Suppose 0 = -6*y + 707 + d. What is the highest common divisor of y and 92?
46
Suppose -923 = 47*d - 50*d + 4*q, d - 311 = 2*q. Calculate the highest common factor of 126 and d.
7
Let i(l) = l**3 + 43*l**2 + 81*l + 7. Let z be i(-41). Let w = z - -56. Calculate the greatest common divisor of 65 and w.
13
Suppose 100911 + 58641 = 41*i - 13632. What is the highest common divisor of 132 and i?
132
Suppose -49*j + 3*j + 235 = j. Calculate the greatest common divisor of j and 145.
5
Let p = -679 - -683. Suppose -1612 = p*s - 17*s. Calculate the highest common factor of s and 155.
31
Let m(p) = -6*p**3 - 59*p**2 - 12*p - 20. Let a be m(-10). What is the greatest common divisor of a and 650?
50
Let x(s) = s**2 + 427*s - 3478. Let b be x(8). Let m(i) = -i + 4. Let v be m(0). Suppose -2*a + v = -0*a. What is the highest common divisor of a and b?
2
Suppose 5*d = 4*u - 216, 4*d - 5*u = -99 - 81. Let k be (d/75)/4 - 10806/(-45). What is the highest common divisor of k and 30?
30
Let r be -3 + (25 - (1 + -3)). Suppose 0 = 2*w + 2, -3*q - 2*w = -4*w - 23. Suppose 3*h - q = 65. What is the greatest common divisor of h and r?
24
Let t(z) = 772*z + 77. Let p be t(10). What is the highest common factor of 69 and p?
69
Suppose -156*n = -182*n + 78. Calculate the highest common divisor of n and 93.
3
Let z be 5/(-10) - (-26)/4. Let c(x) = -2*x + 44. Let g(i) = -11. Let u(k) = 4*c(k) + 18*g(k). Let q be u(-8). Calculate the greatest common factor of q and z.
6
Suppose -n + 7 = -5. Let v = -87 - -87. Suppose 12*w - 11*w - 132 = v. What is the greatest common factor of n and w?
12
Let q = 4873 - 463. Calculate the highest common divisor of 280 and q.
70
Let c be (-4 - -48)*(19 + -16). What is the highest common divisor of c and 15?
3
Let b = -200 + 204. Let u(m) = 8*m - 12. Suppose 44*n = 39*n + 35. Let t be u(n). Calculate the highest common divisor of t and b.
4
Suppose 0 = 13*v - 40 - 12. Let c be 69/(-4)*v/(-3)*5. Let s = 33 + -10. Calculate the greatest common factor of s and c.
23
Suppose 234*m + 2029*m - 113150 = 0. Let f(n) = -n + 81. Let a be f(0). Let b = a - 56. Calculate the highest common factor of m and b.
25
Let x(y) = -7*y - 24. Let z(m) = -62*m - 214. Let g(q) = -52*x(q) + 6*z(q). Let i be g(-18). Calculate the highest common factor of i and 81.
27
Suppose -4*w = -z + 957, 2003 = 4*z - 5*w - 1792. What is the highest common divisor of 2 and z?
1
Suppose 134 = 19*q - 341. Let x be (5 + q/(-10))*(-4)/(-5). Calculate the greatest common factor of 64 and x.
2
Suppose -5*a = 4*x - 64 - 9, -47 = -3*a - 4*x. Let d = -13 - -9. Let g = d + a. Calculate the highest common factor of g and 1.
1
Let k = -23 - -33. Let x = 204 + -124. Suppose -3*m = d - 7*m - x, -4*m - 160 = -2*d. What is the greatest common factor of d and k?
10
Suppose 21*c - 22*c + 66 = 0. Let w be (-4)/(-26) + (-2607)/(-39). Suppose w = 2*o - 131. What is the highest common factor of c and o?
33
Let y = 51 + -32. Suppose -4*o + 152 = 5*q - 36, -131 = -3*o - 5*q. What is the highest common factor of y and o?
19
Let z = -4127 + 4727. What is the greatest common divisor of z and 660?
60
Suppose 5*f + 8 + 77 = 0. Let m be (-44)/(-374) + 53/f. Let y be m - ((-148)/4 + 4). Calculate the greatest common divisor of 12 and y.
6
Let g(u) = 24 - 99 - 92 + 7*u + u. Let