
1
Suppose -5*n + 24 = -n. Let u(v) = 6*v**2 + 2*v + 54. Let j(f) = f**2 - 5*f. Let d be j(5). Let q be u(d). Calculate the greatest common divisor of q and n.
6
Let v be (1 - (14 + -11)) + 9 + 5161. Calculate the greatest common divisor of v and 102.
34
Let o be 9/(-4) - (-7940)/16. Calculate the greatest common divisor of o and 608.
38
Suppose -2*c = -g - 19 + 8, -3*g = -2*c + 17. Suppose -2*l + 132 = c*w, 0 = -3*l - 6*w + w + 193. What is the highest common divisor of l and 196?
28
Suppose -3*u = 5*c - 175, 117 - 12 = 3*c - 5*u. What is the highest common divisor of 217 and c?
7
Let c = 80 + -77. Suppose -j + 44 = 4*r + 2*j, -2*r - c*j = -22. Let f(o) = -o + 20. Let v be f(r). What is the highest common factor of v and 9?
9
Let n be (145/120)/((-6)/(-1032)) - 8/(-48). What is the greatest common factor of n and 16?
16
Suppose -107*y + 52 = -106*y. Suppose -h + 2 = -24. Calculate the greatest common factor of h and y.
26
Suppose 17*q - 676 = 1262. Calculate the greatest common divisor of 2622 and q.
114
Suppose 18 = 2*f + 4*u, -f + 32 = 4*u + 15. Calculate the greatest common factor of f and 59.
1
Suppose 0 = 65*b - 60*b - 15510. Calculate the greatest common divisor of b and 44.
22
Let t be (44/(-40) + (-6)/(-10))*0. Suppose 0*q - 9*q + 108 = t. Calculate the highest common factor of q and 60.
12
Suppose 4*p = -3*c + 112, -3*c + p - 4*p = -111. Let d(b) = -c*b + 3 + 1 + 49*b + b**2 - 6. Let l be d(-19). Calculate the greatest common factor of 14 and l.
14
Let o = -76 + 77. Let j(p) = 62*p - 10. Let d be j(o). Calculate the greatest common factor of d and 26.
26
Let p(u) = -u + 5. Let h be p(-27). Let a = h - 19. Suppose -3*n = j + 2*n + a, -9 = j + 4*n. Calculate the highest common factor of 28 and j.
7
Let u be (-11)/((-22)/18) + 6. Calculate the greatest common divisor of 12135 and u.
15
Let s be (2/(-5) - 3652/(-55)) + (3 - -1). Let o = 167 + 8. What is the greatest common factor of s and o?
35
Suppose 108*y - 22308 = 49*y - 110*y. What is the greatest common factor of 3756 and y?
12
Let y = -2936 + 2940. What is the highest common divisor of y and 7748?
4
Let m = 3514 + -1606. Calculate the highest common factor of m and 72.
36
Let f(r) = -8*r + 106. Let h be f(14). Let k be 16/h*18/(-6)*7. What is the highest common factor of 28 and k?
28
Let m = -6219 + 6318. What is the greatest common divisor of m and 693?
99
Suppose -2*i = -0*i - 44. Suppose 0 = m - 4*r + 7*r - 191, m - 233 = 4*r. Calculate the highest common factor of i and m.
11
Let x(b) = -23*b + 258. Let a be -9 + (-354)/(-42) + (-92)/(-14). Let v be x(a). What is the greatest common divisor of 640 and v?
40
Let o(r) = r**2 - 32*r + 253. Let p be o(10). Let t(d) = 2*d**2 - 2*d - 13. Let b be t(-7). What is the highest common factor of b and p?
33
Let r(u) = 44*u - 2. Let c be r(-3). Let s(g) = g**2 + 51*g + 118. Let q be s(-46). Let l = q - c. What is the greatest common factor of l and 154?
22
Let o be (-132070)/(-66) - 34/561. What is the greatest common factor of 609 and o?
87
Let a(w) = -1183*w - 2092. Let x be a(-3). What is the greatest common divisor of 47 and x?
47
Let h be 270/(-12)*((-1644)/60 + 1). Let n(t) = t**3 - 3*t**2 + 3*t + 2. Let r be n(3). Calculate the greatest common divisor of h and r.
11
Let z(h) = -8*h**3 + 3*h**2 + 31*h - 11. Let x be z(-4). What is the highest common factor of 289 and x?
17
Suppose -5*i + 2069 = l, 22*i = 21*i - 2*l + 412. What is the highest common divisor of i and 483?
69
Suppose 12 = 3*k - 0. Suppose 5*m - 305 = -k*h, h = 3*m + 62 - 7. What is the highest common divisor of h and 245?
35
Suppose 0 = -3*u + 29*o + 129, -2*u + 6 + 80 = -5*o. What is the highest common factor of u and 79421?
43
Suppose 8*j - 2*o - 693 = 1467, 4*j = -2*o + 1080. Calculate the highest common factor of 1980 and j.
90
Suppose 3*h - 8 = -5*d + 158, h - 58 = d. Let g be 28742/168 - 5/60. What is the greatest common divisor of h and g?
57
Suppose -7840 = 260*d - 288*d. What is the highest common factor of 120 and d?
40
Suppose 3*r + 3*i = 3, -5*i + 3 = 3*r - 0*r. Let q(z) = 29*z**2 - 20*z + 20. Let l be q(r). Calculate the highest common divisor of 899 and l.
29
Suppose 89 = 167*b - 166*b. Suppose b = 4*m + 53. What is the highest common factor of m and 4?
1
Let a = -75 - -77. Let l be 12 - (-20)/(7 - a). Suppose -l*i + 17*i = 57. Calculate the greatest common factor of 38 and i.
19
Suppose -5*l + 65 = 5*r, -4*r + 12 = 49*l - 50*l. Let g = 302 - -26. What is the greatest common factor of g and l?
8
Suppose -9*h + 36 = -3*h. Suppose 13*k - h*k = 84. Let g(u) = u**2 - 5*u - 8. Let c be g(k). Calculate the highest common factor of 19 and c.
19
Let d = 545 - 525. Let t be -3*((-100)/d - (-2)/3). Let u be 26 + -1 + -1 + 2. Calculate the greatest common factor of t and u.
13
Suppose 5*b - 2*a - 313 = 0, 0 = -123*b + 125*b + 2*a - 114. What is the highest common factor of b and 13542?
61
Let v be (4 + (-30)/18)*3. What is the greatest common factor of v and 6727?
7
Suppose 0 = -3*m - 4*a + 764, -m = 4*a - 175 - 85. Calculate the greatest common divisor of 396 and m.
36
Let c(v) = 188*v - 2841. Let w be c(39). What is the greatest common divisor of w and 9?
9
Suppose -2*d - 1023 = -13*d. Suppose -19*s = -16*s - d. Suppose -4*y = -4*n - 116, -3*y - n + s + 52 = 0. Calculate the highest common divisor of 28 and y.
28
Suppose 160*q - 5777 + 702 = 10605. Let s(n) = 3*n - 1. Let l be s(5). Suppose l*v - q = 28. What is the highest common factor of v and 117?
9
Let f(r) = -9*r**2 + 300*r - 1. Let c be f(33). Calculate the highest common factor of 182 and c.
14
Let f(a) = 4*a**2 + 5*a - 42. Let p be f(10). Suppose 0*w - 1614 = -4*n + 3*w, 0 = -n + 3*w + p. Calculate the greatest common divisor of 6 and n.
6
Let w(v) = v**3 + 7*v**2 + 19*v + 71. Let c be w(-5). Calculate the highest common divisor of c and 2457.
13
Let b be 205238/171 - 6/27. Calculate the highest common factor of b and 48.
48
Let d(y) = 21*y - 1. Let r be d(2). Let w = 43 - r. Suppose 3*s = -2*q + 13, -2*q - w*s = 3*q - 27. What is the greatest common factor of 55 and q?
5
Let l be 28 + -21 + (-4 - -1). Suppose -l*v = 4*c - 420, -2*v + 6*c + 204 = 10*c. Calculate the greatest common divisor of 9 and v.
9
Let z = 283 - 213. Let v be (-1)/(-4) - 39*z/(-24). Calculate the greatest common divisor of v and 171.
57
Suppose 42*j + 126 = 35*j. Let r be 27/j*((-46)/(-3) - -2). Let b be (r/36 - 14/(-63))*-36. What is the greatest common divisor of b and 2?
2
Let y(a) = a**2 + 23*a - 30. Let w be y(-28). Let t = 124 - w. Suppose 0 = 4*h - h - 168. Calculate the greatest common divisor of h and t.
14
Suppose 18532 - 11794 + 23250 = 28*z. What is the highest common divisor of z and 493?
17
Suppose -6*w + 2888 = 38*w - 6*w. What is the highest common divisor of w and 256?
4
Let u(p) = 5*p**2 - 5*p + 4. Let l be u(1). Suppose r + l*r - 15 = 0. Suppose 0 = r*n - 42 - 12. Calculate the highest common factor of 18 and n.
18
Suppose -x = -5*t - 358, -21*x + t - 946 = -24*x. What is the highest common divisor of 9964 and x?
106
Let c be (-127989)/(-45) + (-3)/15. Suppose 10*n + c = -3116. Let k = -299 - n. What is the greatest common factor of 33 and k?
33
Suppose -1782*c = -1761*c - 1848. What is the greatest common factor of c and 6424?
88
Let k(t) = 9*t**2 - 64*t + 111. Let a be k(5). What is the highest common divisor of a and 58?
2
Let h(c) = c**3 + 78*c**2 - 42*c - 1917. Let j be h(-78). What is the greatest common factor of 1963 and j?
151
Suppose 352 = -g + 3*g. Let y be (3/(-2))/(4 - 707/g). Calculate the greatest common factor of y and 8.
8
Suppose 4*s - 12 = -4*l + 3*s, 18 = 3*l + 3*s. Suppose 121 = l*p - 5*h, -h - 3*h = p - 67. Calculate the greatest common factor of p and 7.
7
Let v be (2 - 0) + 3 + 1. Suppose -13*g + 35 = -v*g. Suppose -4*x = -5*d + 3*d - 260, -118 = -2*x - g*d. What is the greatest common factor of x and 16?
16
Suppose 2414 = -393304*l + 393446*l. Let y = -2 + 2. Suppose y*i + i = 51. Calculate the greatest common factor of i and l.
17
Let o(t) = t**3 + 10*t**2 + 26*t - 16. Let c = 21 - 41. Let m be o(c). Let y be (-3)/5 + m/(-60). What is the greatest common divisor of y and 30?
15
Suppose -62 - 87 = -3*a + 5*n, -238 = -5*a - 2*n. Let o = 49239 - 49227. What is the greatest common divisor 