1. Suppose 232*s - 34 = 231*s - 15. What is the highest common factor of s and j?
19
Suppose 5*k + 108*h = 107*h + 1763, -2*h = -6. What is the greatest common factor of 77 and k?
11
Suppose 0 = 44*k - 29*k - 4935. Calculate the greatest common divisor of 141 and k.
47
Suppose -7*p = 5*w - 1576, 4*p - 4*w = -2*w + 920. What is the greatest common divisor of p and 204?
12
Let q(a) = a**2 + 3*a + 7. Let g = -44 - -39. Let o be 4 - (-4 + (-20)/g). Let p be q(o). What is the greatest common divisor of 7 and p?
7
Suppose 15 = 2*x + 3*x. Let v(r) = 2*r - 3. Let m be v(x). Suppose 2*i + 4*z = 5*i - 35, 6 = -m*z. Calculate the highest common divisor of 3 and i.
3
Let m(h) = 317*h**2 + 18*h + 66. Let w be m(-3). What is the greatest common factor of 15 and w?
15
Let j be ((-5)/2)/(15/(-30)). Suppose -5*r - 5*y + 120 = 0, -5*r - y + 142 = 38. Suppose 16*z - r = 12*z. What is the highest common divisor of j and z?
5
Let h = -102 + 122. Suppose -g + 6 - h = 0. Let y be (-6)/g + ((-224928)/(-63))/11. Calculate the greatest common factor of y and 13.
13
Let z(s) be the third derivative of -3/2*s**3 + 1/60*s**5 + 0 - 1/24*s**4 + 0*s + 6*s**2. Let v be z(4). What is the greatest common factor of v and 21?
3
Suppose 0 = i - 30 - 0. Let p = -2376 + 2566. What is the greatest common factor of p and i?
10
Suppose -6*f - 61 = 3*t - 178, 2*t - 102 = 4*f. Let s(k) = k + 7. Let b be s(-5). Let w be 5*(-6)/(b - 4). What is the highest common factor of w and t?
15
Let k = 21 - 14. Suppose -k*r + 540 = -3*r. Let b(s) = -3*s + 30. Let g be b(5). Calculate the highest common divisor of r and g.
15
Let u be -6 - 247 - (2 + 4/(-2)). Let w = 303 + u. Calculate the greatest common factor of 650 and w.
50
Let w(x) = 6 - 4 + x - x**3 - 3*x**2 + 1. Let j be w(-3). Let c = 30 + j. What is the greatest common divisor of 330 and c?
30
Suppose -45*h + 29*h + 44928 = 0. Calculate the greatest common factor of h and 144.
72
Suppose 2438 + 532 = 15*c. Let t be -1 + 2*c/12. What is the greatest common divisor of t and 256?
32
Let y = 849 - 799. Suppose 9*j - y*j = -328. Calculate the highest common divisor of 2 and j.
2
Suppose a + 4*p - 928 = 0, -3*a + 276 = 3*p - 2535. Calculate the greatest common divisor of 220 and a.
20
Let q be (-6816)/(-288) + -12*4/18. Calculate the highest common factor of q and 6825.
21
Let m be (-6 - 1) + 1 + (-840)/(-10). What is the greatest common divisor of m and 498?
6
Suppose 4*l + 3*n + n + 32 = 0, 0 = -5*l - 4*n - 37. Let q be (0 - 27) + 0/(-1 - l). Let c = q - -31. What is the greatest common factor of 10 and c?
2
Let j = 16693 - 16682. What is the greatest common divisor of 96 and j?
1
Let d(z) = -636*z - 120. Let l be d(-1). Calculate the greatest common divisor of l and 16.
4
Suppose 1258 = 4*h + 2*o, -166 = -h + o + 150. Suppose 0*k + 9*k - h = 0. What is the greatest common factor of k and 7?
7
Let a(u) = 437*u**2 - 9170*u - 17. Let j be a(21). What is the highest common factor of 7995 and j?
65
Let v = 11311 - 10357. Calculate the highest common divisor of 36 and v.
18
Suppose 3266 = 622*t - 620*t - 3*w, 2*w = -t + 1640. What is the greatest common divisor of 32 and t?
4
Let f = -625 + 624. Let m be f/9 - (-4940)/234. What is the highest common factor of m and 168?
21
Suppose -20 = 3*h - 347. Let n = -1799 + 1734. Let t = n + h. What is the highest common factor of t and 11?
11
Let n(b) = -b**3 - 20*b**2 + 7*b + 43. Let j be n(-20). Let v be -1 - (j + (1 - -2)). Calculate the highest common factor of 62 and v.
31
Suppose -11 = -2*p - 3*u + 2*u, -2*p + u = -9. Let b be p/15*9 - 16. Let s = 23 - b. Calculate the highest common divisor of s and 48.
12
Let o(r) = 154*r**2 - 800*r + 17. Let w be o(9). What is the highest common divisor of 143 and w?
143
Let u(q) = 3*q**3 + 116*q**2 + 73*q - 93. Let b be u(-38). Calculate the greatest common factor of 24 and b.
3
Let s be ((-4)/(-8)*0)/(1/(-1)). Suppose s = -4*j - 32 + 208. Suppose 55 = 9*l - j. Calculate the greatest common divisor of 121 and l.
11
Let q be (-8)/(-3 - 13)*10. Suppose 4*k = 7*k + 4*c - 22, -3*c = -q*k + 85. Calculate the greatest common factor of k and 42.
14
Let q be (-16)/(240/(-245))*(-4 + (96 - 5)). What is the greatest common factor of 49 and q?
49
Let y be ((-11024)/(-8) - -5) + -5 + 13. What is the greatest common divisor of 321 and y?
107
Suppose -3*s = s - 3924. Let r = s + -750. Calculate the highest common factor of 66 and r.
33
Let g = -146 - -115. Let w = 143 + g. What is the highest common factor of 16 and w?
16
Let z(d) be the first derivative of 6*d**2 - 27*d + 7. Let n be z(6). What is the greatest common factor of n and 9?
9
Let m be (-12)/90 + 2/(60/1234). Let f = 65 - 68. Let u be ((-287)/(-14))/((-6)/44)*f. Calculate the highest common divisor of u and m.
41
Let z = -1310 + 1336. What is the greatest common divisor of z and 767?
13
Suppose -19 = -3*c - 5*o, 3*c - 15 = -0*c - 3*o. Let p be c/(-6) + (-9010)/(-20). What is the greatest common factor of p and 18?
18
Suppose 3*h - 2*j - 1066 = -7*j, -2*h = j - 713. Suppose 5*g = -5*q + 48 + 212, -2*q = -4*g + 202. Calculate the highest common divisor of h and g.
51
Let k be 120/160*(10/2 + 691). What is the greatest common factor of k and 32625?
261
Let i(d) = 544*d + 17832. Let r be i(21). What is the highest common factor of r and 24?
24
Let l be (-45)/25 - 221/170*-26. Calculate the highest common divisor of 7792 and l.
16
Let j(v) = 183*v + 675. Let r be j(-3). What is the highest common factor of 42 and r?
42
Let z(m) = -6*m**2 - 72*m + 10. Let p be z(-12). Let l be (4/p)/(1 + 413/(-420)). What is the highest common divisor of l and 744?
24
Suppose -140*n = -146*n - 30, -n = -5*k + 2535. Suppose 5*j = 23 + 87. Calculate the greatest common factor of j and k.
22
Suppose -4*b + 65 = 1. Let i = 133990 + -133670. What is the highest common divisor of i and b?
16
Let n(s) = 2*s**3 - 8*s**2 - 53*s + 251. Let b be n(5). Calculate the greatest common factor of b and 5607.
9
Suppose 0 = 10*w - 1778 - 662. Let l = 262 - w. Let c(v) = 36*v. Let s be c(4). Calculate the highest common divisor of s and l.
18
Suppose 3*o - 16 = 22 - 2. What is the highest common divisor of o and 536?
4
Suppose 2*h = -3*k + 143 + 9, -96 = -2*k - 4*h. Let y = k - 48. What is the greatest common divisor of 128 and y?
4
Suppose 14*o - 612 = 11*o. Suppose -17*g + 1028 = -12*g + 3*r, g - r = o. What is the greatest common divisor of 82 and g?
41
Suppose -4*y + 1 = 4*z + 5, -3*y - 2*z = 4. Let p be (80/28)/(y/(-7)). Suppose 6 = 2*a + 8, -2*t = 2*a - 28. Calculate the greatest common factor of p and t.
5
Suppose 13*v - 17*v - 2*i = -170, -3*v = -3*i - 105. Suppose -6*d + v = -3*d - h, 0 = 4*d + h - 51. What is the highest common divisor of 1027 and d?
13
Suppose 113*r - 73*r - 1222263 = -149*r. Calculate the greatest common divisor of r and 1338.
223
Let l = 7251 + -6957. Calculate the greatest common divisor of l and 1274.
98
Let i(v) = 15*v**3 - 3*v**2 + v - 1. Let x be i(1). Suppose 2 = -4*l - 5*f + 69, -17 = -l - f. Calculate the highest common factor of l and x.
6
Let i(n) = 14*n + 385. Let h be i(-28). Let m be (-43)/((12 - 9) + h/2). What is the greatest common factor of 1634 and m?
86
Let n(w) = 24*w - 8*w - 213 + 20*w. Let s be n(7). What is the greatest common divisor of s and 429?
39
Suppose 4*m + 22295 = 34251. What is the greatest common factor of 98 and m?
49
Let y = -285 + 287. Suppose -3*r + 1 = x - 9, -15 = -x + y*r. What is the greatest common factor of 182 and x?
13
Suppose -135*m - 154381 + 424651 = 0. Calculate the greatest common factor of 1232 and m.
154
Suppose 3*w + u = 20, -w + 4*u = u. Suppose 0 = -2*a + w*a - 36. What is the highest common factor of a and 2?
1
Let o = 23 + -24. Let z(r) = 11*r**3 + 2*r + 1. Let t be z(o). Let n be 104/(-10)*(t + 2). Calculate the greatest common factor of n and 13.
13
Suppose 0 = 32*o - 41*o + 234. Let v be (-541)/(-11) + o/(-143). Calculate the greatest common divisor of 49 and v.
49
Let q(z) = 3*z**3 - 20*z**2 - 4*z + 1. Let v be q(7). Suppose -3123 - 5501 = -14*r. Calculate the greatest common factor of v and r.
22
Let u(m) = 23*m + 303. Let k be u(-12). Calculate the highest common factor of 9 and k.
9
Let a(p) = -18*p**2 - 1 - 2*p**3 - 4 + 24*p + 11 - 29*p**2. Let s be a(-24). Cal