106. What is the highest common divisor of a and 100?
20
Let a = -7 + 8. Let c = 3 - a. Suppose -3*r = -r + 3*u - 7, 5*r - 6 = 4*u. Calculate the highest common divisor of c and r.
2
Suppose 0 = -s - 0*s + 5. Suppose 290 = s*v - 315. Calculate the highest common factor of v and 11.
11
Suppose 0 = v + x - 6, 41 + 4 = 5*v + 2*x. What is the highest common factor of 121 and v?
11
Let g(k) be the first derivative of -k**4/4 - 7*k**3/3 + 4*k**2 + 7*k + 2. Let d be g(-7). Let i = d + 89. Calculate the highest common factor of i and 5.
5
Let c = 125 - 99. What is the highest common divisor of 65 and c?
13
Let g(j) = j + 55. Let d be g(-6). What is the greatest common divisor of d and 7?
7
Suppose -g - 6*w = -5*w - 67, g + 2*w = 68. Calculate the highest common divisor of g and 165.
33
Let c(b) = -b**2 - 6*b + 9. Let v be c(-5). Calculate the greatest common divisor of v and 154.
14
Suppose 4*d - 100 = -4*u, -3*d + 2*u + 16 = -64. What is the highest common divisor of d and 13?
13
Suppose b = -2*b + 27. Suppose -2*g - 48 = -2*o, o + 2*g - 31 - 2 = 0. What is the highest common divisor of o and b?
9
Let k(x) = x**2 + x - 4. Let b be k(-3). Let i be 2*(b - (-3)/(-2)). Let y be 96 + i + 1 - -1. What is the greatest common divisor of y and 11?
11
Let a(v) = v**3 + v**2 - 96. Let o be a(0). Let h = -45 - o. Suppose -9*f + 170 = -4*f. What is the highest common factor of f and h?
17
Suppose 3*p + p - 220 = 0. Suppose 0 = -22*u - 235 + 719. Calculate the highest common factor of p and u.
11
Suppose -3*p - p - w = -94, 4*w = -5*p + 112. Calculate the greatest common divisor of p and 60.
12
Suppose -4*w = x - 14, -2*w + 0 = 4*x - 28. What is the greatest common divisor of x and 9?
3
Suppose i + i - 12 = 0. Suppose 3*a - 27 = -3*j, 0 = j + 5*a - 3*a - i. Suppose 3*p = -n - 2*n, 3*n - j = 3*p. Calculate the greatest common divisor of n and 5.
1
Let a = -5 - -15. What is the greatest common factor of a and 20?
10
Let z be -3*(69/(-9) + 2). Let b = 101 - z. Calculate the greatest common divisor of b and 21.
21
Let y = -11 - -33. What is the highest common factor of 88 and y?
22
Let n be (-2)/(3*4/(-168)). Suppose 4*u - 3*s - 128 = 2*u, u + 2*s - 78 = 0. What is the greatest common divisor of n and u?
14
Suppose -3*b - 20 = -2*h, 0 = -3*h - 4*b + 32 - 2. Suppose 3*w = -5*m + 255, 3*w + 0*w - 285 = 5*m. Calculate the greatest common factor of w and h.
10
Suppose -5*o - 9 = -2*l, 5*l + 0*o - 7 = -3*o. Suppose i + h = -4*h - 14, -4*i + 2*h + 32 = 0. What is the highest common divisor of l and i?
2
Let t(i) = 5*i + 2. Let k be t(2). Suppose 3*u + 3*f = 54, 0*u + u = 5*f + 18. Suppose -4*h + h = -u. Calculate the highest common factor of k and h.
6
Let m(i) = 6*i**2 - 2*i + 1. Let q be m(1). Let v = q + 0. Let r be (18/v)/((-18)/(-45)). What is the highest common divisor of 45 and r?
9
Let c = 0 - 3. Let t = 0 - c. Suppose 4*n - 2*a + t*a - 92 = 0, -116 = -5*n - a. What is the greatest common divisor of n and 6?
6
Suppose -92 = -2*w + h, -5*w - 2*h = 139 - 387. Suppose -3*g - 4*o + 32 = 0, -2*o - 10 + 68 = 5*g. What is the highest common factor of w and g?
12
Let r = 39 - 20. Let f = -13 + r. Let t(g) = g + 6. Let q be t(f). Calculate the highest common factor of 12 and q.
12
Suppose -5*g - 4*y + 66 = 0, -g = -3*g + 5*y. Let n = -5 + g. Let a = -63 - -103. Calculate the highest common factor of n and a.
5
Suppose -s + 85 - 32 = 0. Calculate the highest common factor of 106 and s.
53
Suppose -449 = 5*d - 64. Let u be 1 - (d + (2 - 4)). Suppose -81 - 15 = -3*t. What is the highest common factor of u and t?
16
Suppose 3*g = 2*g + t + 1, 5*g = 4*t + 5. Suppose g - 3 = -m. Calculate the greatest common factor of 8 and m.
2
Let i be (-1)/((-4)/(7 - -1)). Suppose i*p = -3*p + 180. What is the highest common factor of 12 and p?
12
Suppose -31 = -5*y - 6. What is the greatest common factor of y and 15?
5
Let a = 8 + -4. Suppose -z - 38 = -3*h, z - 4*z = a*h - 68. Suppose u + u = h. What is the highest common divisor of u and 1?
1
Let u be (-2 + 1)/((-1)/(-25)). Let g be (-670)/u + 1/5. What is the highest common factor of g and 18?
9
Suppose 2*k - 70 = -0*k. Let z be 2/((2/14)/1). What is the greatest common divisor of k and z?
7
Suppose f - 50 - 94 = -3*s, 4*s + 682 = 5*f. Suppose -2*i - 30 = -f. Calculate the greatest common divisor of 36 and i.
18
Suppose -2*z + 8 = -s + 3*s, -3*z + 20 = 5*s. Suppose -3*y = -f + 7, 3*y - f = 3*f - 10. Let x = z - y. Calculate the greatest common factor of 2 and x.
2
Let v(g) = -2*g - 2. Let t be v(-2). Suppose 3*s - 9 = -2*i + i, -2 = 2*s - t*i. Calculate the greatest common divisor of 4 and s.
2
Suppose 45 + 135 = 4*b. Calculate the greatest common factor of b and 5.
5
Suppose 5*m = v + v + 630, m = -5*v + 153. Calculate the highest common divisor of m and 32.
32
Let u = 29 - 60. Let v = u + 39. Suppose 0*i = 2*i - 2. What is the highest common factor of v and i?
1
Suppose -13 - 17 = -5*u. What is the highest common factor of u and 12?
6
Let y = 5 + -10. Let b(h) = -h**2 - 4*h + 7. Let k be b(y). Suppose 2*i - 3*l - 17 + 4 = 0, 5*l - 53 = -k*i. Calculate the highest common divisor of 28 and i.
14
Suppose -20 = -2*y + 4*q - 5*q, 2*q + 68 = 5*y. Let a be y/(-10)*20/(-6). What is the highest common factor of 1 and a?
1
Let p = 10 + -5. Let j(f) = f**3 - 5*f**2 - 5*f - 4. Let q be j(6). What is the highest common factor of p and q?
1
Let g(c) = 4*c - 9. Let b be g(4). Suppose 2*p = -y - 3, -3*y + 3*p + 1 = b*p. What is the greatest common divisor of 77 and y?
7
Let v = 15 - 12. Let x be 68/12*v*1. What is the highest common divisor of 17 and x?
17
Let d = 7 - 3. Let x be (-6)/(-9)*3 - -18. Calculate the highest common divisor of d and x.
4
Suppose 0*a = a - 9. What is the highest common divisor of 3 and a?
3
Let o be -2 + 21 + (2 - 0). What is the greatest common factor of o and 7?
7
Let x = -16 - -22. Calculate the greatest common divisor of x and 3.
3
Let d be 2 + 3/1 + -1. Let g(l) = l**3 - 4*l**2 + l. Let b be g(d). Let i(k) = k**3 + 2*k - 2. Let n be i(b). Calculate the highest common factor of 10 and n.
10
Suppose 4*a = a. Let q be (-2 - 1) + 7 - a. What is the greatest common factor of q and 4?
4
Let j(y) = y**2 - 11*y + 6. Let r be j(9). Let b = r + 33. What is the greatest common divisor of 84 and b?
21
Suppose 3 = 2*c - 13. Let y = c - 5. Suppose -y = -2*k + k. Calculate the highest common factor of 27 and k.
3
Suppose -5*u + 2 = -4*u. Suppose -128 = -2*c - 4*x, -91 = -u*c + 3*x + 37. What is the greatest common factor of c and 160?
32
Let a(d) = -54*d - 1. Let i be a(-1). What is the highest common factor of i and 53?
53
Let o(h) = 3*h + 5. Let u be o(4). Calculate the highest common divisor of u and 17.
17
Let l be 4/(-10) + 37/5. Suppose 5*f - 175 = 5*d, 3*d = 2*f - 77 + l. Calculate the highest common factor of 7 and f.
7
Suppose 0 = 5*m + 2*t - 456, 5*m - 33 = 5*t + 402. Calculate the greatest common factor of 10 and m.
10
Let b = 37 + 38. What is the greatest common factor of b and 30?
15
Let c(i) = -i**3 - 4*i**2 + 3*i + 4. Let b be c(-3). Let f = 5 + -4. Let s be -3 - ((b - 2) + f). What is the highest common divisor of s and 4?
4
Suppose 8 = -2*u - 2*u. Let n be (30/9)/(u/(-6)). What is the highest common factor of 15 and n?
5
Suppose 0*r = r - 2. Suppose 6 = -3*c, -r*h = -6*h + 2*c + 24. Suppose -h = d - 29. What is the highest common factor of d and 6?
6
Let b = -159 + 167. What is the greatest common divisor of 4 and b?
4
Let x be 3 + 2 + 1 + 1. Suppose -x*c + 80 = -2*c. Calculate the highest common factor of c and 48.
16
Let z(q) = -7*q - 1. Let k be z(-1). Suppose -5*n + 9 = -k. Calculate the greatest common factor of n and 3.
3
Let m = 60 + 10. What is the highest common divisor of m and 10?
10
Let n be (-2 + -16 + 1)*(-11 + 10). Calculate the greatest common divisor of n and 51.
17
Let a(p) be the third derivative of p**4/24 + 7*p**3/3 + p**2. Let t be a(-6). Calculate the greatest common divisor of t and 32.
8
Suppose 4*c = -5*a - 77, -a = -4*c + 2*a - 37. Let m = 6 - c. Let y = 35 - 16. What is the highest common divisor of y and m?
19
Let x be (-1 - -5) + 87 + 5. Calculate the highest common divisor of 24 and x.
24
Suppose -10 = 3*o - 5*o. Suppose z - 22 - 38 = 4*n, -o*n - 111 = -2*z. Calculate the highest commo