)/x. Calculate the highest common divisor of s and 1.
1
Suppose 25 = 2*c - 5*v, -5*c = -10*c - 3*v - 15. Suppose c*j + 10 = j + 4*a, -j + 4*a + 2 = 0. What is the greatest common divisor of j and 2?
2
Suppose -5*x - 2*w + 73 = -w, 3*x + 5*w = 57. Let t(i) = i**3 + 4*i**2 - 5*i - 6. Let j be t(-4). What is the highest common divisor of x and j?
14
Let d(s) = s**2 - 10*s - 45. Let t be d(25). What is the greatest common divisor of t and 220?
110
Suppose 2*n = -4, 5*z + 0*n = -3*n + 174. Let l = 53 - z. Let j be 2240/12 - (-1)/3. What is the highest common factor of l and j?
17
Let d(l) = -l**3 - 45*l**2 - 91*l - 100. Let p be d(-43). What is the highest common factor of p and 253?
23
Let m(i) = 2*i**2 - 62*i + 46. Let l be m(31). Calculate the highest common divisor of 184 and l.
46
Suppose 16*h - 18*h - 2*q = -6722, -5*h - 3*q + 16815 = 0. What is the greatest common factor of 51 and h?
51
Suppose -4*i + 6 = -i. Let k = 46 + -38. Let p be (7 - -3)*k/10. What is the greatest common factor of i and p?
2
Let s = -80 + 102. Suppose -j + 3*o = o - s, 17 = j - o. What is the highest common factor of j and 192?
12
Let t be -10*((-10)/(-25))/(1/(-18)). What is the highest common factor of 108 and t?
36
Let i(k) = k**2 + 19*k - 43. Let g be i(-22). Calculate the greatest common factor of g and 161.
23
Suppose 0 = t, -2*l + 16 = -2*t + 2. What is the highest common divisor of 35 and l?
7
Let v(s) = s + 1. Let q(z) = -12*z**3 - 5*z - 2. Let l(g) = -q(g) - 3*v(g). Let w be l(1). Calculate the highest common divisor of w and 143.
13
Let l be (-36)/((-408)/99 - -4). Calculate the highest common factor of 11 and l.
11
Suppose -3*s - 235 = 2*s. Let w = s + 167. Calculate the greatest common divisor of w and 15.
15
Suppose 1497 = 36*w - 4443. Calculate the greatest common divisor of w and 22.
11
Suppose 5*c - 623 = 3*a - 5*a, c - 120 = -5*a. Let h = 197 - c. What is the highest common divisor of h and 24?
24
Suppose -61 = 5*c - 21. Let r be 14 - 1/(2/c). Suppose -3*j + 275 + 88 = 3*m, j - 247 = -2*m. What is the greatest common divisor of r and m?
18
Let i = -79 + 102. Let b = 49 - i. What is the highest common factor of b and 26?
26
Let v be 80 - ((1 - 3) + 1). Let h be 4/(-6) + (-328)/(-6). Calculate the greatest common divisor of v and h.
27
Let o(a) = -16*a**2 - 2*a + 2. Suppose m = 3*m + 6. Let f be o(m). Let d = f - -269. What is the highest common divisor of 19 and d?
19
Suppose -233*m - 44 = -237*m. Calculate the highest common divisor of 6 and m.
1
Let x(u) = -u**2 + 19*u + 14. Let p be x(16). Let t = p + -168. Let a = t - -150. Calculate the highest common divisor of a and 66.
22
Let d(s) = -s - 12. Let z be d(-8). Let k be z/(-16)*0 + 4. Suppose -4*n - 106 = 4*y - 9*y, -2*y + k*n = -40. Calculate the greatest common factor of y and 55.
11
Suppose 0 = 4*s - s + 3*u - 27, 5*u = 2*s + 17. Let v be s + (-4)/(-3)*3. What is the greatest common divisor of v and 1?
1
Suppose -13 = u - 15. Suppose u*o = o - 5*v - 21, 3*o - 3*v = 27. Calculate the highest common divisor of 2 and o.
2
Let o(i) = -75*i**3 + 14*i**2 + 4*i + 3. Let f be o(-2). Calculate the greatest common factor of 186 and f.
93
Let l be (4 + -8)/(1/(-3)). Calculate the highest common divisor of l and 12.
12
Suppose 3*y - 2*t = 817, -5*t + 8*t - 1112 = -4*y. Calculate the highest common divisor of y and 33.
11
Let x be (-10)/8 + 9735/236. Calculate the greatest common factor of 70 and x.
10
Let n(d) = d**3 - 4*d**2 - 2*d + 10. Let o be n(4). Calculate the greatest common divisor of o and 2.
2
Let s(a) = -13*a + 22. Let b be s(2). Let y be 298 - (3 - ((-32)/b)/2). What is the greatest common factor of y and 23?
23
Let z(q) = q**3 + 10*q**2 - 14*q + 13. Let k be z(-11). Calculate the highest common factor of k and 322.
46
Let m = -230 + 242. What is the highest common divisor of m and 276?
12
Let h be 3 - (16/4 + -5). Suppose -31 = -2*j + 3*x, -4*j - j - h*x + 20 = 0. Suppose 0 = -j*s + 1 + 207. Calculate the highest common divisor of 39 and s.
13
Suppose -6 = -2*x + 14. Let r be (2/(-3))/(x/(-1275)). Let k(l) = l**2 - 3*l - 1. Let h be k(6). Calculate the greatest common factor of r and h.
17
Let l be 3 + 6 + 3 + -4. Let t = 12 - 19. Let w = t + l. Calculate the greatest common factor of 4 and w.
1
Suppose a = -2*d + 3*a + 14, d + 3*a + 5 = 0. Suppose d + 0 = 2*i. Suppose -3*v - i*v + 35 = 0. What is the greatest common divisor of v and 14?
7
Let y(p) = p + 45. Let t(v) = v + 44. Let z(s) = -6*t(s) + 7*y(s). Let u be z(0). What is the greatest common factor of 17 and u?
17
Let k = 10 + -7. Suppose -r + k = 2*f, f + 12 = -f - 4*r. What is the highest common factor of 44 and f?
4
Let g be -1*24/(6 - 2). Let q be (1 + -4)*(-70)/g. Let l = q + 62. Calculate the greatest common divisor of 18 and l.
9
Suppose 552 = 106*f - 104*f. What is the greatest common factor of 12 and f?
12
Let u(v) be the first derivative of 2*v**3/3 - 3*v**2/2 - 29*v - 13. Let t be u(-5). Calculate the greatest common factor of 54 and t.
18
Suppose 2*b + 4*m - 10 = 0, 5*b - 6*b = -m - 2. Let z(o) = o**3 + 10*o**2 + 3*o - 3. Let q be z(-9). What is the greatest common factor of q and b?
3
Let y(m) be the second derivative of m**4/12 - 3*m. Let i be y(3). Suppose 4*s - 11 = -x + i, 2*x = -2*s + 40. What is the greatest common divisor of 60 and x?
20
Suppose d + 348 = -3*d. Let x = d + 108. What is the greatest common factor of 21 and x?
21
Suppose -3 = -x - 0. Let w(z) = 3*z**2. Suppose 0 = 2*q - 8, -4*q + 14 = -3*i + 4. Let b be w(i). What is the highest common factor of x and b?
3
Let b(s) = s + 15. Suppose -2*j - 195 = -7*j. Suppose -4 = -5*r - j. Let l be b(r). What is the highest common factor of 8 and l?
8
Let g(q) = 5*q**2 - 44 + 44. Let h be g(1). Let a(s) = s**3 - 2*s**2 - 3*s + 5. Let f be a(4). What is the greatest common divisor of h and f?
5
Let f = -46 - -84. Suppose -3*d + f = 2. Let o = d - 11. What is the highest common divisor of o and 7?
1
Let g(s) = 521*s - 1. Let k be g(1). Suppose 7*i = 2*i + k. Let b(j) = -6*j + 37. Let l be b(4). Calculate the highest common factor of l and i.
13
Let b be ((-2)/6)/(5/(-105)). What is the highest common divisor of b and 28?
7
Suppose 59*z - 61*z = -72. What is the greatest common factor of 288 and z?
36
Let g = -29 + 32. Suppose -g = -3*p + 51. Calculate the greatest common divisor of 90 and p.
18
Let n = 21 - 5. Suppose 0*c - n = -4*c. Suppose -3*l - 35 + 327 = c*m, 4*l + 194 = 3*m. Calculate the highest common factor of 7 and m.
7
Let z be (-1 + 53/(-2))*(-4)/2. Let t = 115 - z. What is the highest common divisor of 12 and t?
12
Let v(l) = -l**3 + 16*l**2 - 24*l + 7. Let s be v(14). What is the highest common divisor of s and 119?
7
Suppose d + 0 = 4. Suppose -3*a = -11*a + 32. Suppose 0*v - 5*v + 62 = -s, 0 = -a*s - 8. Calculate the highest common divisor of v and d.
4
Let k be (2 - 1) + 1 + 1. Suppose -k*q + 0*q = -48. Let z = q + -10. Calculate the greatest common divisor of 3 and z.
3
Suppose 17*t = 15*t + 44. Calculate the greatest common factor of 418 and t.
22
Let p = -194 + 324. Calculate the highest common factor of p and 10.
10
Let b be 8/(-10) + 555/(-25). Let v = b + 28. What is the greatest common factor of 1 and v?
1
Suppose 0 = 2*p - 24*p + 132. Calculate the greatest common divisor of 9 and p.
3
Let j(q) = -18*q + 10 - 16*q + 36*q. Let o be j(-3). Calculate the highest common factor of 6 and o.
2
Let l be 10/4*16/4. Let y(g) = g**2 + 4*g - 3. Suppose 0 = -7*r - 45 + 10. Let s be y(r). Calculate the greatest common factor of s and l.
2
Let g(x) = x**2 - 9*x + 22. Let j be g(7). Suppose 0 = -a + 3*m + 254, 4*a - 956 = 5*m - j*m. Calculate the highest common factor of 22 and a.
22
Let m = 380 + -278. What is the greatest common factor of m and 68?
34
Let y = 108 - 119. Let n = y - -15. Let j be (-1)/(-1*1)*6. What is the highest common factor of j and n?
2
Let o = -1547 - -1556. What is the greatest common factor of 39 and o?
3
Suppose 177 = 4*l + j, -3*l + j + 78 + 46 = 0. Suppose 2*t + 5*d = 103, 0 = -4*t - 3*d + l + 128. Calculate the highest common divisor of 26 and t.
13
Let i(g) = 2*g**2 + 18*g + 33. Let k be i(-7). Suppose -o = 5 + 7. Let c be (-18)/o*(-220)/(-6). What is the highest common factor of c and k?
5
Suppose 14*y - 986 = 246. Calculate 