1
Let j = -38 + 88. Suppose 6*h - j = 4*h + 5*f, h + 4*f = 51. What is the highest common divisor of h and 5?
5
Let i = 93 + -66. Let a = i - 21. What is the greatest common factor of 6 and a?
6
Suppose 0 = -3*y - 2*g - 265, 0 = y - 3*g + 112 - 31. Let b = -47 - y. What is the greatest common factor of b and 16?
8
Suppose 3*l = 269 - 59. What is the highest common factor of 14 and l?
14
Suppose -4*k - 1 = -5. Let r(z) = -k - 2*z + z + 5. Let c be r(0). What is the greatest common factor of 32 and c?
4
Let w be 0 - (-4 + 2) - -18. Let q be 1705/w + (-3)/12. Calculate the highest common factor of 17 and q.
17
Let z = 116 + -26. Let d(a) = 18*a**2 - 2. Let p be d(-2). Suppose 0 = 3*f + 4*f - p. What is the highest common divisor of z and f?
10
Let s(b) = -b**3 + 6*b**2 - 3*b - 2. Let f be s(4). Suppose 3*q = -0*q + f. Let t be 86/q - (-8)/12. What is the highest common divisor of 30 and t?
15
Suppose -c - c = 4*a - 20, c = 2*a - 14. Let z = -3 + a. Suppose 5*v + z*u - 53 = 40, -3*v + 56 = 2*u. What is the greatest common divisor of v and 9?
9
Suppose 4*j + 30 = p, -5*p = -8*p + 4*j + 58. What is the highest common divisor of 56 and p?
14
Let m = -20 + 36. Calculate the highest common divisor of m and 24.
8
Let q(o) = 15*o + 8. Let g be q(7). Let n = 223 - g. Calculate the greatest common factor of 44 and n.
22
Let l(f) = -5*f**2 - 1 + 2*f - 7*f + 4*f**2. Let y be l(-4). Suppose -5*n + 10 = -0. What is the greatest common divisor of n and y?
1
Suppose -3*a = 2*g - 3*g - 4, 5*a - 8 = g. Let y be -1 + a - 2*-3. Let p be 56 + -1 - (-7 - -6). What is the highest common factor of p and y?
7
Let v = 130 - 109. Suppose 4*f - 7*f + 315 = 0. Calculate the greatest common factor of f and v.
21
Let c(k) = -3*k - 5. Let y be c(-5). Let h(r) = -r + 39. Let b be h(9). Calculate the greatest common factor of y and b.
10
Suppose -p + 14 = -5*f - 43, 5*f = -25. What is the greatest common divisor of p and 4?
4
Suppose a + 0*a = 6. What is the highest common factor of a and 6?
6
Let u = -15 - -15. Suppose -2*b + 0*b + 26 = u. What is the highest common factor of b and 91?
13
Let q be ((-24)/9)/((-4)/6). Suppose -q*v + 4*u = -32, -2*v - v + 22 = -2*u. What is the highest common divisor of 18 and v?
6
Let y(i) be the third derivative of i**5/20 + i**4/6 + i**3/6 - 4*i**2. Let k be y(-5). Calculate the highest common factor of k and 8.
8
Let c be ((-1)/3)/(2/(-12)). What is the greatest common divisor of 22 and c?
2
Suppose -6*k + 9*k = 81. What is the greatest common factor of k and 18?
9
Let o be 9 + -8 - (-1 + 1). What is the greatest common divisor of 1 and o?
1
Suppose -h - 24 = -2*f, -5*f + 20 = -4*h - 40. Calculate the highest common divisor of f and 3.
3
Let o be 37 - (-4 - (-1 + -1)). Let a = o + -18. Calculate the greatest common divisor of a and 21.
21
Suppose -2 = -2*j - 4. Let i be 5 - (0 - (j + -1)). Calculate the highest common divisor of i and 24.
3
Let f = 16 + 4. Calculate the greatest common divisor of f and 220.
20
Let t = -12 - -23. Calculate the greatest common factor of 121 and t.
11
Let d(y) = y**3 - 3*y**2 - 5*y - 10. Let v be d(6). Let g = -16 + 33. What is the greatest common divisor of v and g?
17
Let w(t) be the first derivative of 27*t**2 + t + 1. Let n be w(1). Calculate the highest common divisor of n and 5.
5
Suppose 2*n - 4*n = -64. Calculate the highest common divisor of n and 40.
8
Suppose -3*c - 2 = -8. Calculate the highest common factor of 3 and c.
1
Let r = -10 - -17. Let d = r - 4. Suppose d*i = i + 64. Calculate the greatest common factor of 8 and i.
8
Let i = 14 - -74. What is the highest common divisor of 8 and i?
8
Let w be ((-195)/(-9))/((-2)/(-18)). Calculate the highest common factor of w and 15.
15
Suppose 3*c = 3*r + 30, 5*r = 5*c - c - 45. Suppose 802 = 5*q + 2*d - c*d, q - 166 = -5*d. What is the highest common divisor of 23 and q?
23
Let b(z) = z**2 + 2*z - 9. Let n be b(6). What is the highest common divisor of 13 and n?
13
Suppose -w + 5 = 0, -5*f + 4*f - 3*w + 27 = 0. Calculate the greatest common factor of 12 and f.
12
Suppose -4*y - 40 = -w, -3*w + 4*y + 134 = -y. Let k(l) = -3*l - 2 + 4 + 7 + 4*l. Let q be k(7). What is the highest common divisor of q and w?
16
Suppose -4*j = -370 - 26. Let g(w) = 2*w**2 - 4*w + 3. Let m be g(3). What is the highest common divisor of m and j?
9
Let d be 3/(-18) + (-427)/(-42). Calculate the greatest common divisor of d and 40.
10
Let f = -2 + 6. Let i be (2 + 1)*f/3. Suppose -2*d + 86 + 2 = 0. What is the highest common factor of i and d?
4
Let u(p) = p - 2. Suppose 4*q + 3*l = -2 + 1, 6 = -2*l. Let o be u(q). Let t = o - -20. What is the highest common divisor of t and 5?
5
Let k be ((-45)/6)/(2/(-20)). Suppose -3*w + k = -57. Let l = -2 - -6. Calculate the greatest common divisor of l and w.
4
Let w be (-2)/4*(-9)/(45/2080). What is the greatest common divisor of 16 and w?
16
Let t(z) = -z**3 + 5*z**2 + 7*z - 4. Let m be t(6). Let b be m/(-7) - 352/(-56). Calculate the highest common divisor of 12 and b.
6
Suppose 5*r = -u + 110, -3*u = -7*u - 2*r + 476. Let h be 6 - 0/((-3)/(-3)). Suppose -h*o + 48 = -2*o. What is the greatest common divisor of u and o?
12
Suppose -w + 69 = -2*k + k, 0 = -5*w + 2*k + 342. Let n = w + -8. Calculate the greatest common divisor of 40 and n.
20
Let w = -5 - -30. Suppose -p - w - 28 = -2*o, 3*o + 4*p = 63. What is the highest common factor of o and 5?
5
Let l(i) = -13 + 1 - i - 3*i. Let m = -91 - -83. Let p be l(m). What is the highest common factor of 60 and p?
20
Let b be (24/14)/((-4)/(-70)). Let i = 25 + -13. Calculate the highest common divisor of i and b.
6
Suppose 2*v - 2*z = -0*z - 10, z - 13 = 5*v. Let g be 6/(-9)*36/v. Calculate the greatest common divisor of g and 12.
12
Suppose 30 = 3*k + 3. Suppose 0 = -4*g + 6*g. Suppose g = -5*a + 19 + 11. Calculate the greatest common divisor of k and a.
3
Let x(n) = 7*n. Let k be x(1). Suppose -5*b + 4*u = -79 - 112, -179 = -5*b + u. Calculate the highest common factor of b and k.
7
Suppose 0 = 4*a - 738 + 10. Suppose -2*y + 51 = -l, -y + 5*y + 2*l = 106. Calculate the greatest common divisor of y and a.
26
Suppose 2*t + 4*h = 58, -t - 4*t - 5*h + 135 = 0. What is the greatest common divisor of t and 225?
25
Let d = -4 + 8. Let l = -11 - -25. Suppose l = -4*h + 78. What is the greatest common factor of d and h?
4
Suppose -4*o = 30 - 102. Calculate the greatest common divisor of 12 and o.
6
Suppose 3*g - 43 = -5*n, 4*g - 6*n = -2*n + 100. Suppose -5*d = 20, d - 49 = -4*h - g. Calculate the greatest common divisor of h and 2.
2
Let g(p) = p**3 - 11*p**2 + 12*p - 13. Let z be g(10). What is the greatest common divisor of z and 35?
7
Let k be (68/6)/(4/36*2). Calculate the highest common divisor of 510 and k.
51
Let v be (-3)/(5 + (-112)/22). Let g be (4/(-5))/(2/(-5)). Let x be (12/(-15))/(g/(-55)). What is the greatest common factor of v and x?
11
Let g = -190 - -267. Let o be -3*(-6)/(-9) + 13. Calculate the greatest common divisor of g and o.
11
Let g = 61 + -13. What is the highest common factor of g and 48?
48
Let x(n) = -n**3 + 2*n**2 - n. Let j be x(1). Let v(r) = -2*r + 1. Let t be v(j). What is the greatest common factor of 8 and t?
1
Let i = -8 - -10. Suppose -i*l + 26 + 4 = 0. Calculate the highest common divisor of 30 and l.
15
Let n be ((-48)/(-10))/((-6)/(-75)). What is the greatest common divisor of n and 30?
30
Let f(j) = -49*j. Let k be f(-2). Calculate the greatest common factor of 14 and k.
14
Let l(o) = o**2 - o + 5. Let j be l(0). Let c be (-3 + j)*-1 - -23. Let s be 2 - 1*-61*1. What is the highest common factor of c and s?
21
Let h be 24/(-10)*30/(-4). Suppose 2*t - o + 4*o - 192 = 0, -82 = -t + 2*o. What is the highest common divisor of t and h?
18
Let z be (-1 + -2)/(2/2). Let x = 5 + z. Suppose -n + x*n + 3*g = 33, -5*n + 179 = g. Calculate the greatest common factor of n and 12.
12
Suppose 3*j - 8*j + 50 = 0. What is the greatest common divisor of j and 70?
10
Let p be (-3)/(-4) - (-1)/4. Let b(q) = 17*q. Let t(s) = 3*s. Let l(n) = -6*b(n) + 39*t(n). Let j be l(p). What is the highest common divisor of j and 135?
15
Let n = -9 - -18. Calculate the highest common divisor of n and 36.
9
Suppose -4*d - 2*z + z = 228, 3*z = 4*d + 228. Let j = d - -36. Let t = 29 + j. Cal