 = 2*n + y*n - 502, 0 = -4*n - 5*a + 514. Calculate the greatest common divisor of q and n.
14
Suppose -9*f + 313 = -3656. What is the greatest common factor of f and 63?
63
Suppose 2*g = 5*p + 43, 0 = -3*g + 2*p - 1 + 49. Let o(l) = -l**2 + 12*l + 14. Let v be o(12). Calculate the highest common factor of g and v.
14
Let r = -73 - -75. Suppose 2*p = -4*z + 16, 37 = r*p - 3*z - 0*z. Calculate the greatest common divisor of 70 and p.
14
Let w be 266/35 + 2/5. Let p = 91 - 90. Calculate the highest common factor of w and p.
1
Let h(m) = 63*m + 58*m + 12 - 118*m. Let q be h(-2). What is the highest common divisor of q and 21?
3
Let f(i) = 177*i + 181. Let b be f(7). What is the greatest common divisor of b and 71?
71
Suppose 0 = -3*q + k + 195, -287 = -4*q - 5*k - 8. What is the highest common divisor of 78 and q?
6
Let d = -243 - -423. Suppose 0 = 4*b + 5*q - 105, -4*b - q + 90 = q. What is the greatest common factor of d and b?
20
Let o(q) = -191*q + 20. Let y be o(-3). Suppose 7*b - y - 93 = 0. Let u be 2*14*2/4. What is the greatest common divisor of u and b?
14
Suppose 2*h + 26 = 3*h. Suppose -4*t + 24 = 5*j, -4*t - 24 = -j - 0*t. Suppose f - j = 2*i + 13, f - 3*i = 25. What is the highest common divisor of h and f?
13
Let x(c) = 30*c**2 - 6*c - 5. Let y be x(-1). What is the greatest common divisor of y and 1?
1
Suppose -3*o + 4*o = -22. Let v = o + 35. What is the highest common divisor of 65 and v?
13
Let o(p) = p**2 - 10*p + 17. Suppose 4*l - 1 - 31 = 0. Let u be o(l). Let t(c) = c**2 - 2*c + 1. Let d be t(4). What is the greatest common divisor of d and u?
1
Let u be (-24)/15*(109725/22)/(-19). What is the highest common divisor of u and 15?
15
Let p(y) = -y**2 + 6 + 0*y - 12*y + 3*y. Let g(m) = -2*m**2 - 2*m + 3. Let s be g(2). Let q be p(s). Calculate the greatest common divisor of 6 and q.
6
Suppose 288 = 4*k - 4*o, 0 = 5*k + o + 4*o - 320. What is the greatest common divisor of k and 85?
17
Suppose -11*s = -6*s - 10415. Suppose 4*z = 3*k + s, 4*k = 2*k - 10. Calculate the greatest common divisor of 47 and z.
47
Let k be 7*(-48 + 0)*2/(-4). Let r be (0 + 4/12)*k. What is the highest common factor of r and 14?
14
Let a be ((-9)/6)/((-6)/16). Let c be (a + 45/(-6))*(-72)/14. What is the greatest common factor of c and 180?
18
Suppose 42 = 2*w - 2*m, w + 5*m + 10 - 1 = 0. Suppose 12 = 3*l + 5*r, -16 = -4*l - 0*r - 3*r. What is the highest common divisor of l and w?
4
Suppose -15 - 39 = -9*d. Suppose 5*m = 2*m + 162. What is the highest common divisor of m and d?
6
Suppose 13*y - 18 = -3*p + 18*y, -2*p + 12 = y. What is the greatest common factor of p and 57?
3
Suppose 311 - 61 = f. Let m be f/(-12) - (-13)/(-78). Let d be ((-36)/m)/(2/14). What is the highest common divisor of d and 30?
6
Suppose 0*s - 5415 = -3*s. Let f be 3*(-4)/(-12)*-1. Let o be s/15 + f/3. Calculate the greatest common divisor of 15 and o.
15
Let o be (-10)/(-4)*6/(-1)*-1. Let f be ((-9)/(-12) - 4/(-16))*3. What is the highest common factor of o and f?
3
Suppose -5*c + i = -66, -2*c + 62 = 3*c - 2*i. Calculate the greatest common divisor of c and 287.
7
Suppose -6*v + v + 90 = 0. Suppose 371 = 8*r + 27. Suppose 8*k - 5 = r. What is the highest common divisor of v and k?
6
Let u = -56 - -81. Calculate the greatest common divisor of u and 5.
5
Let h = -22 - -31. Suppose 2*j = 2*i + 82, 0 = 5*j - j - i - 149. What is the greatest common divisor of j and h?
9
Suppose -4*v - 74 = -9*p + 4*p, -92 = -4*p - 5*v. Calculate the highest common divisor of 720 and p.
18
Suppose -3*c - 2*c - 5*w = -30, 0 = -2*c + 2*w + 28. Let n = -5 + c. Suppose 6*s - 90 = 4*s. What is the highest common divisor of s and n?
5
Let u = -128 + 152. Calculate the highest common factor of 600 and u.
24
Suppose 0 = 4*g - 6*g - 162. Let h = g + 88. Calculate the highest common divisor of h and 7.
7
Suppose 2*j - 12 = 5*n, -5*n = -j - 4*n + 6. Suppose -21 = -5*x - 116. Let o = x + 28. Calculate the greatest common factor of o and j.
3
Suppose -4*q + 306 = -q + 3*x, -4*x = 0. Suppose -62 = -2*d + f, -3*d = 4*f - f - q. Calculate the highest common divisor of d and 24.
8
Suppose -173*z + 157*z = -6688. Calculate the highest common divisor of 22 and z.
22
Let c = 45 - 65. Let u be ((-35)/c)/(2/8). Suppose 3*m + 2*a - 115 = 66, 2*m - 106 = -5*a. Calculate the highest common factor of m and u.
7
Let s(r) = r**2 + 4*r + 4. Let y be s(-3). Suppose 0 = w - 1 - y. Suppose 2 = 2*i - o, -w = 3*i - 4*o - 0*o. Calculate the highest common factor of 1 and i.
1
Let a be 3 - (-9 - (0 + 5)). Calculate the greatest common factor of a and 697.
17
Let p be ((-12)/14 - -2)/(14/245). What is the greatest common factor of 65 and p?
5
Let r be (-2 - 0)*-38*1/(-1). Let d be 21/(1/1) - r/19. What is the greatest common factor of d and 100?
25
Let d be 10 + 1 + 1 + -1. Let n(t) = -t**3 + 11*t**2 - 15*t - 5. Let a = -78 - -87. Let v be n(a). Calculate the greatest common divisor of v and d.
11
Let g(b) = 4*b + 3 - 3*b - 2*b - 8. Let u be g(-18). Suppose 5 = -0*n - n, 5*n = 3*y - 64. Calculate the greatest common factor of y and u.
13
Suppose -3*m = -m - 5*n - 84, -3*n - 40 = -m. Suppose 0 = -d + 2*s + 73 - 1, 150 = 2*d - 2*s. What is the highest common factor of d and m?
26
Suppose -5*p = -4*k + 241, 4*p + 48 = 2*k - 68. Calculate the highest common divisor of k and 8.
8
Let a be (-580)/(-25)*(1 + 6/4). Calculate the highest common factor of a and 29.
29
Let d = 45 + -29. What is the highest common factor of d and 48?
16
Let r be (-1231)/(-4) - 104/(-416). Calculate the greatest common factor of r and 56.
28
Let f(z) = -7*z + 169. Let n be f(21). Calculate the greatest common factor of 242 and n.
22
Let k(h) = 196*h - 161. Let w be k(1). Calculate the greatest common divisor of w and 35.
35
Suppose -35 = -11*l + 9. Suppose i - 24 = 5*b + l, -3*i + 5*b = -104. Calculate the greatest common divisor of i and 2.
2
Suppose -4*b + 4*m = -3*b - 39, 2*b - m = 99. Let w = -15 + b. Suppose 0 = 5*r - 14 - w. What is the highest common factor of 20 and r?
10
Suppose -3*i + 609 = -5*b, 2*i + 30 = 4*b + 438. Let a be 36/45*270/12. Calculate the highest common divisor of i and a.
18
Suppose -293*m = -288*m - 735. What is the highest common divisor of m and 14?
7
Let j = 1354 - 1269. What is the greatest common divisor of j and 5?
5
Let r be -1 - (0 + 1 - 5). Suppose 0 = -2*o - r*o + 75. Suppose 5*z + 3*y = 34, -2*z + 86 = 5*y + 61. What is the highest common divisor of o and z?
5
Let g be 68/6 + (-2)/(-3). Let h(b) be the second derivative of -b**3/3 - 2*b**2 + 10*b. Let m be h(-6). Calculate the highest common divisor of g and m.
4
Suppose 5*q - 5*s = 70, 0 = -9*q + 13*q + 3*s - 35. Calculate the highest common divisor of 803 and q.
11
Suppose 3*p = -5*a + 1482, -a + 417 = 5*p + 103. Suppose 5*j + 2*j - a = 0. Calculate the greatest common divisor of 6 and j.
6
Let p(w) = w**3 - 23*w**2 + 5*w - 23. Let h be p(23). Calculate the highest common divisor of 4 and h.
4
Suppose 4*f + 4*i - 5*i - 14 = 0, 2*i = f - 7. Let g be 77*(6/2)/f. Let d = g - 14. Calculate the highest common factor of d and 7.
7
Let b(f) be the third derivative of f**6/120 - 3*f**5/20 + f**4/2 - 5*f**3/3 - 46*f**2. Let k be b(8). Calculate the greatest common factor of k and 11.
11
Suppose 0 = -69*z + 28398 + 22455. What is the highest common factor of z and 134?
67
Let i(a) = -6*a + 15. Let x be 104/(-10) - (-4)/10. Let p be i(x). Calculate the greatest common factor of p and 30.
15
Let i = 1 - -17. What is the highest common factor of 54 and i?
18
Let d(t) = 16*t - 115. Let b be d(9). Calculate the greatest common divisor of b and 725.
29
Let p(j) = j**2 - 9. Let z be p(-5). Suppose 0 = -5*f - 5, -5*f = w + 2*w - z. What is the highest common divisor of w and 7?
7
Let a = 1899 + -1867. Calculate the greatest common divisor of a and 288.
32
Let t(k) = -6*k + 14. Let q be t(-7). Calculate the highest common divisor of q and 140.
28
Suppose -11*p + 230 + 23 = 0. What is the highest common divisor of p and 184?
23
Let h(p) = -5*p**3 - p**2 - p. Let m be h(-1). Suppose 4*f + 26 = 3*c, -342*c = -338*c + 5*f + 17. Calculate the greatest common factor of m and c.
1
Suppose -3*w = 4*p - 1687 - 345, 0 = -w + 2*p + 684. Calculate the greatest common divisor of 160 and w.
40
Let w 