. Calculate the highest common factor of a and 243.
27
Suppose 7*t + 1728 = 10*t + t. Calculate the highest common divisor of t and 6.
6
Let z(u) = u**2 - 6*u - 5. Let o = 78 - 71. Let v be z(o). Let m be v/((1/(-2))/(315/(-14))). Calculate the greatest common divisor of 6 and m.
6
Suppose 3*g + 14 = -i - 4, -g = -4*i + 19. Calculate the highest common factor of i and 1908.
3
Suppose 2*q = 4*k - 8, -q + 5*q = 3*k - 6. Let f be 16/4*14/k. Suppose 1168 = 5*y + 48. Calculate the highest common divisor of y and f.
28
Let a be 47/((-329)/(-1666))*30/4. What is the highest common divisor of a and 315?
105
Let f(w) = -w - 14. Let t be f(-8). Let v be (14/t)/(2/(-60)). Suppose 25*i + 27 = 5*i + 307. Calculate the highest common divisor of v and i.
14
Suppose -115*f + 112*f = -5*v - 6666, -2*v = 7*f - 15636. Calculate the highest common factor of f and 496.
248
Let g = -317 - -413. Suppose -6*i + 7*i - 39 = -2*j, -i = 5*j - g. What is the greatest common divisor of 19 and j?
19
Suppose -102 + 12 = -3*u. Suppose 15*k - u = 9*k. Suppose -3*c + 4 = -k*a, 2*c - 8 = -2*a - 0*c. Calculate the greatest common divisor of 7 and a.
1
Let p = -1014 + 1027. What is the highest common divisor of 4979 and p?
13
Let i(p) = -p**3 + 112*p**2 + 218*p + 1231. Let f be i(114). What is the greatest common factor of 252 and f?
7
Let q be 37 + -1*1/(-1). Let g = 456 + -452. Suppose 12 = 4*z, g*j = j - z + 174. Calculate the greatest common factor of q and j.
19
Let a(x) = 2*x + 8 + 8*x - 6*x. Let f be a(0). Suppose 72 = f*w - 224. What is the highest common divisor of 37 and w?
37
Let b(u) = 19*u**2 + 108*u - 62. Let v be b(-25). What is the greatest common divisor of v and 26?
13
Let g = 66 + 2. Let j(q) = 1644*q + 1746. Let r be j(-1). Calculate the greatest common divisor of g and r.
34
Suppose -5*m + 3 = -2, 5*w = 3*m + 657. Let z = 275 - w. What is the highest common factor of z and 13?
13
Let d(z) = 3*z**2 + 8*z - 3. Suppose -14 = -3*a - v - 82, 0 = -v - 5. Let t = a + 23. Let r be d(t). Calculate the greatest common factor of 10 and r.
5
Let o be (-8 - 0) + (4 - -1). Let f(d) = -42*d + 18. Let q be f(o). Calculate the highest common divisor of q and 36.
36
Suppose 237393 - 36575 - 6778 = 21*p. What is the greatest common factor of 315 and p?
105
Suppose 17*y - 47*y = -1560. Let n = 89 + 67. Calculate the greatest common factor of n and y.
52
Suppose 0 = m - 13 + 9. Suppose 5*j - 53 = -4*l + 3*l, 3*j + 2*l - 36 = 0. Let s be 1*(j*-1)/(m + -6). What is the greatest common divisor of s and 45?
5
Suppose 18 = 3*k + 5*h, -539 + 613 = 5*k + h. Suppose v - 22 = 2*r, -23 = -2*v - 0*v - 3*r. What is the greatest common divisor of v and k?
16
Let p(t) = -107*t + 3235. Let m be p(29). What is the highest common divisor of 11022 and m?
66
Let y(f) be the second derivative of -f**5/20 - 7*f**4/6 + 8*f**3 - 31*f**2/2 + 18*f. Let n be y(-17). Calculate the greatest common factor of n and 70.
10
Let p(q) = 70*q**3 - 6*q**2 - q + 1. Let w be p(2). Suppose 0 = 3*o - 4*u - w, -5*u + 2*u = -15. What is the highest common divisor of o and 5?
5
Suppose -5*r + 1988 = x - 5*x, 4*x + 8 = 0. Calculate the greatest common factor of r and 308.
44
Let u be (-26)/3*(10 + -7). Let b = u + 29. Suppose -46 + 13 = -b*f. What is the greatest common divisor of 99 and f?
11
Let b = 222 - 73. Suppose -1 = -150*a + b*a. Calculate the greatest common factor of a and 11.
1
Suppose -326 = 5*n + 3*d, -n + 5*d - 28 = 26. Let r = n - -94. What is the greatest common factor of r and 690?
30
Let m = 19726 + -19374. What is the highest common factor of 5 and m?
1
Let n = 4295 - 3839. What is the highest common factor of n and 513?
57
Suppose 2*f - f = p - 4, -5*f - 8 = -2*p. Suppose 3*h = p*t + 4 + 3, 3*h - 17 = -t. Suppose 8*j - h*j = 57. Calculate the highest common divisor of 19 and j.
19
Let w(x) = -45*x**3 + 3*x**2 + 8*x - 6. Let n be w(-2). What is the greatest common factor of 3290 and n?
70
Let s be (-6)/8*16/(-4). Suppose -s*m = 2*y + 10, 2*m + 2*m + 18 = 2*y. Suppose -27*f = -22*f - 40. Calculate the highest common divisor of f and y.
1
Let u = 1519 + -1199. Calculate the highest common divisor of u and 608.
32
Let j be ((-214)/(-4))/(12/(-10800)*-18). Calculate the greatest common divisor of j and 75.
25
Let y(f) = -f**2 - 13*f - 23. Let q = -109 - -100. Let i be y(q). Calculate the greatest common factor of i and 104.
13
Let m be (-16 + 7)*(4 - ((-4750)/15)/(-5)). Calculate the greatest common divisor of 4450 and m.
178
Suppose -29*x - 3*x + 7650 = -8510. What is the greatest common factor of 40 and x?
5
Let t(y) = -y**2 + 8*y - 9. Let b be t(6). Let j = 235 + 120. Let z = j + -343. What is the highest common factor of b and z?
3
Let g(j) = 5*j**2 - 20*j + 5. Let r be g(4). Let x be (-450)/(-8) + 3/(-12). Suppose r*w - x = w. What is the greatest common factor of w and 42?
14
Let l(x) be the third derivative of 0 + 1/60*x**5 - 2/3*x**3 - 1/12*x**4 - 21*x**2 + 0*x. Let y be l(4). What is the highest common factor of 8 and y?
4
Let i(a) = a**2 - 41*a - 832. Let l be i(-18). Let k = 138 + -46. Calculate the highest common factor of k and l.
46
Let m = 85 - 13. Suppose 0 = x + 3*q - 57 + 21, -q + 57 = 2*x. Suppose 0 = 4*l - 3*f + x - 108, -f + 33 = 2*l. Calculate the greatest common divisor of l and m.
18
Let q(b) = b**2 + 30*b + 89. Let h be q(-28). Suppose 461 = 12*z + 65. What is the highest common divisor of h and z?
33
Let y(u) = -3606*u + 50512. Let q be y(14). Suppose 3*c = -314 + 1322. Calculate the greatest common divisor of c and q.
28
Let h be (-521 - 10) + (8 - 2). Let z = h + 577. Calculate the greatest common divisor of z and 6.
2
Let u(k) = -12*k + 29*k - 7 - 9 - 15*k + k**2. Let g be u(5). What is the greatest common factor of 133 and g?
19
Let c = -2 + 5. Let l = -108927 - -108928. Calculate the highest common divisor of l and c.
1
Let q be 21/(-35) - 4077/(-45). Suppose -q = -5*y + 4*d - 9*d, 0 = -2*d + 6. What is the greatest common factor of y and 75?
15
Suppose 177*w + 221*w = -31*w + 6864. Calculate the greatest common divisor of 3112 and w.
8
Suppose 0 = -2*h - 4, -4*a - 3*h + 41 = -321. Suppose -a = -3*f + 2*u, 2*u - 4*u - 32 = -f. Calculate the greatest common divisor of f and 70.
10
Let m = 12246 - 12078. What is the greatest common factor of m and 105?
21
Let u be (-9)/(-21) + 5 + 1/(35/40130). What is the greatest common factor of 540 and u?
36
Suppose 0 = -875*f + 869*f + 384. What is the greatest common factor of f and 1000?
8
Suppose -5*i = -4*y + 62, 0 = 3*i - 0*y + 2*y + 24. Let d be 14/(((-4)/i)/(182/70)). Calculate the greatest common factor of d and 52.
13
Suppose -i + 27 = -4*f - 79, 2*f = 0. Suppose a - 101 = -2*j, -3*j + j + i = 2*a. What is the highest common factor of 36 and j?
12
Let f be 3/((-14)/(-133) + (-111)/(-570)). Let t(x) = x**3 - 15*x**2 + x + 20. Let w be t(15). What is the greatest common divisor of f and w?
5
Suppose -18*a + 21*a - 14240 = -5*w, 11390 = 4*w + 2*a. What is the greatest common factor of 10 and w?
5
Suppose -77*t + 75*t = -4844. Suppose t = 8*r - 314. What is the greatest common divisor of r and 18?
18
Let z(m) = m**2 - 106*m + 882. Let a be z(9). Calculate the highest common factor of a and 765.
9
Suppose -k = 3*k + u - 583, 0 = 5*k + 3*u - 734. Suppose 5*a + 10 = -5. Let n be 2 - 1/(a/81). What is the highest common divisor of k and n?
29
Let f = 38753 - 36978. Calculate the greatest common factor of 600 and f.
25
Let q = 43271 - -22217. What is the highest common divisor of 16 and q?
16
Let w = -650 + 640. Let f be 105/w*235/10*-4. What is the greatest common factor of f and 21?
21
Suppose 25*q + 1100 = 100*q - 7300. What is the highest common factor of 168 and q?
56
Let k be (64/12 - 4) + (-4)/3. Suppose -7*g + 13*g - 1548 = k. Calculate the greatest common factor of 215 and g.
43
Suppose 3*i - 114 = 3*s, 4*s - 9*s = 3*i + 190. Let v be (19/s)/(1/(-60)). What is the greatest common divisor of 20 and v?
10
Let l be 3171 + (-20)/(-60)*(-23 - -5). Calculate the highest common factor of l and 15.
15
Suppose 0 = -b + 2*b - 4, -3*l = -b + 76. Let h = l + 24. Suppose 3 + 78 = 3*j + 3*s, -s + 1 = h. What is the highest common factor of j and 182?
26
Suppose -2*r - 22 = q, -5*r - 12 = 8. Let d be 35646/91 - (16/q)/4. Calculate the greatest