common factor of s and u.
8
Suppose 3*a + 12 = -0*a, 5*l + 4*a - 54 = 0. Let j be 1/2 + 21/l. Suppose 4*h - 32 = j*h. Calculate the highest common divisor of h and 40.
8
Let b(d) = d**2 - 3*d + 2. Let o be b(2). Let y be (105/6 - o)*6. Suppose u = s - 13, 0 = -0*s + 4*s - u - 58. Calculate the highest common factor of y and s.
15
Let c(p) = p**2 + 2*p - 5. Let h be c(-10). Let g = -40 + h. Calculate the greatest common divisor of g and 7.
7
Let r(s) = s**2 + 6*s + 8. Let h be r(-6). Suppose 5*l = -443 - 397. Let t = l + 176. What is the greatest common factor of t and h?
8
Let q(n) = 3*n + 40. Let g be q(8). What is the highest common divisor of g and 864?
32
Suppose 5*c + 5*l = c + 315, 4*c - 316 = -4*l. Calculate the greatest common factor of 10 and c.
10
Suppose 3*r - 6*r - 166 = 4*f, 0 = -4*r - 8. Let x be 1*((-4)/1 - f). Calculate the greatest common factor of x and 90.
18
Let i(s) = -2*s + 16. Let r be -3 - (-1 - (-3 + 12)). Let c be i(r). Let t be (-35)/(-5)*(2 + c). Calculate the greatest common divisor of 70 and t.
14
Let j(k) = 11 - 18 - 9 - 25*k - k**2. Let f be j(-23). What is the greatest common divisor of 75 and f?
15
Let w be (0 - 1) + 2 + 36. Let i = w - 23. What is the greatest common divisor of 2 and i?
2
Let r(m) = -2*m**2 + 4 - 4 + m**3 + 2*m - 4*m**3. Let v be r(-2). Calculate the highest common factor of v and 4.
4
Let z(v) = 4*v**2 - v. Suppose 2 = -2*c, -2*o - 2 = c + 3. Let s be (o + 3)/((-1)/(-2)). Let r be z(s). What is the highest common divisor of 35 and r?
7
Let d be (-9591)/27 + 2/9. Let w = d - -499. Suppose -84 = -5*b + 4*x, -x + 3 = -4*x. What is the highest common factor of w and b?
16
Let x(o) = -o**3 - 11*o**2 + 9. Let m be x(-11). Let b be 3*(-6)/m - -11. Calculate the greatest common factor of b and 1.
1
Suppose 2*i - 2575 = -3*i - 5*c, i = -5*c + 531. What is the highest common divisor of 73 and i?
73
Let n = 7 + -2. Suppose 0 = -n*u + 5*a - 120, -2*u + 8 = -5*a + 62. Let d = -9 - u. What is the greatest common factor of d and 39?
13
Let t = 86 - 80. Calculate the greatest common factor of 372 and t.
6
Suppose 41*t = 21*t + 1700. What is the greatest common factor of t and 323?
17
Suppose 0 = 2*o - 4*w + 88, -84 = 2*o - 4*w + 2*w. Let i = -30 - o. Let s = -169 - -259. What is the greatest common divisor of s and i?
10
Suppose 192 = -306*j + 310*j. What is the greatest common factor of j and 120?
24
Suppose -42 = -3*h - 3*r, -3*r + 0*r - 6 = -h. Let a be (-2)/(-8) + 1077/h. Let x be (-1)/((-2)/20*1). Calculate the highest common divisor of a and x.
10
Let p = 45 - -358. What is the greatest common divisor of p and 93?
31
Suppose 83 = 4*i - 141. Suppose 4*c - z = -17, -2*z + 4 = -2*c - 0. Let h be (-6)/9*-3 - c. Calculate the greatest common factor of h and i.
7
Suppose -42*w + 38*w + 92 = 3*v, -5*v + 164 = 4*w. Calculate the highest common divisor of v and 9.
9
Let a(x) be the first derivative of -x**2 + 10*x + 2. Let g be a(0). Let u = g + 2. Calculate the highest common divisor of 30 and u.
6
Suppose -12 = 2*p - 5*p, 2*n - 2*p = 174. What is the highest common divisor of n and 39?
13
Let t = -2023 - -4967. What is the greatest common divisor of t and 46?
46
Suppose 309 = -0*a + a - 3*j, -5*a + 1485 = -3*j. Suppose a + 156 = 9*m. What is the highest common divisor of m and 10?
10
Let f = -14 + 17. Let w be (540/6)/(f/(-6)). Let l = 275 + w. Calculate the greatest common divisor of l and 19.
19
Let n be (-3 + (-10)/(-2))*2. Suppose 0 = n*k + 28 - 4. Let b = 11 + k. Calculate the highest common factor of b and 10.
5
Suppose -4*x + 5*x + 7 = 0. Let w be -46*(3 - x/(-2)). What is the highest common factor of w and 253?
23
Suppose -5*i - 2*m + 2315 - 928 = 0, 287 = i - 2*m. What is the greatest common factor of 62 and i?
31
Suppose 4*g + 3*w - 363 = 0, 4*g = 2*g + 3*w + 177. Calculate the greatest common divisor of g and 720.
90
Suppose 2*k = -4*b + 1298, -3*k + 4*b = 2*b - 1931. Calculate the greatest common factor of k and 15.
15
Let g = 1018 + -1005. Let v be 14 - (4 + -2)/2. What is the highest common factor of v and g?
13
Let y(i) = i**2 - 24*i - 43. Let c be y(25). Let b be (-1518)/(-8) - c/(-24). What is the greatest common factor of b and 27?
27
Suppose -5*z = -0*z - 255. Let u be (-17)/z*(-7 + 1). Calculate the highest common factor of 26 and u.
2
Let f = -200 + 292. What is the highest common factor of 598 and f?
46
Suppose -21*x - 222 = -1104. What is the highest common divisor of 12 and x?
6
Suppose 2*y - 78 = 5*y. Let a = 27 + y. What is the greatest common divisor of a and 4?
1
Let f be (40/(-25))/2 - 118/(-10). What is the highest common divisor of f and 22?
11
Suppose 0 = -3*d + 1 + 14. Suppose j + 72 + 189 = -2*c, 5*j = 2*c - 1269. Let i = j - -270. What is the highest common divisor of i and d?
5
Suppose l - 478 = -5*b, 3*b + 4*l - 11 = 286. Let q = 3 - 1. Suppose 4*n - 61 = -3*s, q*n - 3*n = -4*s + 75. What is the highest common factor of s and b?
19
Suppose -100*d + 105*d = 105. Suppose d*n - 20*n - 9 = 0. Calculate the greatest common factor of n and 9.
9
Suppose -3*i - 66 = -3*a, -4*i = -2*a - i + 47. What is the highest common divisor of 2432 and a?
19
Let x(r) = r**3 - 4*r + 2. Let f be x(3). Let j = f + -1. What is the greatest common divisor of j and 16?
16
Let w = -13 + 41. Let z be ((-4)/(-6))/((-2)/(-756)). What is the highest common divisor of z and w?
28
Let c(k) = -k**3 + 10*k**2 - k + 4. Let f be c(10). Let v be -218*3/f - 2. Let q be v/2 + (-4)/(-8). Calculate the greatest common factor of q and 9.
9
Suppose 0 = -39*f + 32314 + 17996. Calculate the highest common divisor of f and 30.
30
Let a(o) = o**3 - 6*o**2 - 2*o + 20. Let t be a(6). Suppose -160 = -3*c - 5*c. What is the greatest common factor of c and t?
4
Let l be (55/(-2))/(2/4). Let j = -25 - l. Suppose 5*y - 45 = -2*n - 3*n, 0 = n - 5*y + 9. What is the greatest common divisor of n and j?
6
Let f(k) = -2. Let h(s) = 4 - s + 2 - 1 - 6. Let m(q) = f(q) - 2*h(q). Let p be m(5). Calculate the greatest common factor of p and 10.
10
Let g(v) = v**2 + 61*v + 928. Let f be g(-27). Suppose r + 120 = 5*r. Calculate the greatest common divisor of r and f.
10
Suppose 5*t = -n + 17 - 3, 4*n = 2*t + 12. Suppose -4*i + 12 + 1 = -3*g, g + t*i - 9 = 0. Calculate the highest common divisor of g and 3.
1
Let r be 6 - (-2 - 0/(-4)). Suppose 22 = 5*m - r. Calculate the greatest common factor of 12 and m.
6
Let c = -239 - -269. Calculate the greatest common divisor of c and 390.
30
Suppose 0 = -h + 32 - 4. Let b(f) = -99*f**2 - 2*f - 1. Let s be b(-1). Let y = s + 238. Calculate the greatest common divisor of y and h.
28
Let a(b) = b**2 - 12*b - 101. Let q be a(-23). Calculate the highest common divisor of 192 and q.
64
Let p = -319 - -484. What is the highest common divisor of 55 and p?
55
Let n = -321 + 629. Calculate the highest common divisor of n and 21.
7
Let l = 24 - -488. What is the highest common factor of 32 and l?
32
Let g(w) = 11*w**2 + 2*w. Let l be g(-5). Let a be -3 - (-545)/(9 - 4). Calculate the highest common factor of l and a.
53
Let o = -55 + 62. Let z(g) = 8*g - 34. Let c be z(o). Calculate the highest common divisor of 33 and c.
11
Suppose -9*t + 3*t + 90 = 0. Let x(d) = -d**3 - 5*d - 9. Let o be x(-4). What is the highest common factor of t and o?
15
Suppose -6 + 36 = 15*f. Let h be (0/1 + -1)*265. Let z be f/6 - h/15. What is the greatest common divisor of z and 18?
18
Suppose 0 = -5*a - 19 + 89. Let h(o) = o**2 - 3*o - 2. Let s be h(3). Let m be (40 - s) + 0/(-1). What is the highest common divisor of m and a?
14
Let g be (-3 + 0)/((-45)/150). Let h(t) = -1. Let y(f) = 17*f - 12. Let d(o) = -3*h(o) + y(o). Let j be d(7). Calculate the highest common divisor of g and j.
10
Let b = 89 + -73. Calculate the highest common divisor of b and 8.
8
Suppose 10 = c + 6. Let w(j) = 2*j**2 + 0*j**2 - j - 2 + 0*j**2. Let b be w(c). Calculate the highest common factor of 234 and b.
26
Suppose i - 99 = -2*w, -3*i = 2*i - 15. Let u(r) = -r**2 - 9*r - 8. Let j be u(-8). Suppose j*y = 5*y - 60. Calculate the greatest common factor of w and y.
12
Let c be 324/8 - 1/2. Let l = 79 - c. Let w be 10*78/60*2. What is the highest common divisor of w and l?
13
Let h be 15/(-18) - 2004/(-72). What is the greatest common factor of h an