1. Calculate the highest common divisor of u and p.
8
Let y be 40/15*(7/4 + -4). Let o be 4 + y + 5 + 21. Let q(i) = i**2 + 4*i + 3. Let w be q(-4). Calculate the greatest common divisor of o and w.
3
Suppose -1130 = -10*n + 8*n. Suppose 0 = -5*z - 0*z - n. Let m = z - -164. What is the highest common factor of 357 and m?
51
Suppose -3*b = 3*q - 462, 3*b = -4*q - 65 + 529. Let i = -63 + 169. Let n = b - i. What is the greatest common divisor of n and 46?
46
Suppose 18*v = 5*v - 104. Let r(q) = 2*q**2 + 15*q - 3. Let o be r(v). Suppose 468 = o*t + 28. What is the greatest common factor of t and 22?
22
Let s(p) = -p**2 + 78*p - 585. Let l be s(9). What is the highest common factor of l and 4992?
12
Let m(y) = 107*y**2 + 4*y - 3. Let a be m(-2). Calculate the greatest common factor of 278 and a.
139
Let q be (-1)/((-1)/(-2*3)*-2). Let z be 27/(-18)*q/(9/30). Let p be (14/(-63)*24)/(2/z). What is the greatest common factor of 5 and p?
5
Suppose 3*i - 5*a - 2310 = 0, 5*i = -a + 5*a + 3824. Calculate the highest common divisor of i and 1045.
95
Let h = -221 - -223. Suppose 84 = 3*t + 3*f, f = 2*t - h*f - 66. Calculate the greatest common factor of 6 and t.
6
Suppose 4*t + 3*c - 442 = 0, -4*t + t = c - 334. Suppose -33*o + 19*o + t = 0. What is the highest common divisor of 88 and o?
8
Suppose -2*h + 1128 = 4*v, 5*v = 2*h - 4*h + 1129. Let w = 635 - h. Calculate the highest common factor of w and 365.
73
Let d be (0 - -93)/((-37)/37). Let s = d - -104. Calculate the greatest common factor of s and 154.
11
Let v = -5108 + 6758. What is the greatest common factor of v and 4785?
165
Let t(y) = -4*y - 29. Let b be t(-8). Suppose -12*p + 676 = 208. Calculate the highest common factor of b and p.
3
Let m be 3/2*492/(-9). Let k = -55 - m. Suppose w - 3 = 4*n - 4*w, 3*w = n + 6. Calculate the greatest common divisor of n and k.
3
Let c(q) be the third derivative of q**5/60 - 5*q**4/24 - 5*q**3/2 - 2*q**2 + 49. Let v be c(9). Let s = 11 - 4. What is the highest common divisor of s and v?
7
Suppose -92 + 107 = 5*p. Let n be (52/p)/((-4)/(-24)*2). Let k = 112 - n. What is the greatest common factor of 150 and k?
30
Let d be -37 + (-7)/((-21)/12). Let h = d - -28. Let v be 35/2*(-4)/h. What is the greatest common factor of v and 7?
7
Let o be (-202)/(-6) + (-2)/(-6). Suppose -33*j + 4805 - 1703 = 0. Let p = j - 43. Calculate the greatest common divisor of p and o.
17
Let r = 160 - 100. Let v = -6310 + 6322. What is the greatest common factor of r and v?
12
Let b = 440 + -443. Let m be 7 + -7 - (39*-2 + b). Calculate the greatest common factor of 3 and m.
3
Suppose 3630 + 10827 = -79*b. Let r(d) = -14*d. Let w be r(6). Let h = w - b. What is the highest common divisor of 9 and h?
9
Suppose -12 = 4*c, -3*f - 20 + 1229 = -4*c. Calculate the highest common factor of f and 361.
19
Let b be (-30)/(-56) + 12/(-48) + 2306/14. Calculate the greatest common factor of 66 and b.
33
Suppose 238 = 5*t - 5*b + 38, b + 0*b = 0. Calculate the highest common divisor of t and 4610.
10
Let k = 169 + -76. Suppose k = -7*a + 247. What is the highest common factor of a and 363?
11
Let m be (-11)/(198/(-12)) - (-458)/6. Suppose -2*d + m = -1. Let o = d + -23. Calculate the greatest common divisor of 24 and o.
8
Let a be 2/7 + ((-104)/(-28) - 4). Suppose 2711 = -2*m + 7*m - 3*s, m + 2*s - 550 = a. Suppose 0 = -5*q + q + m. What is the highest common divisor of q and 17?
17
Let g = 95 + -51. Let h(p) = 14*p + 76. Let b(k) = -2*k - 11. Let u(t) = g*b(t) + 6*h(t). Let f be u(-9). Calculate the highest common divisor of f and 40.
8
Suppose 72416 = 562*m - 66*m. What is the highest common factor of 949 and m?
73
Let f = -2380 - -2656. What is the highest common divisor of f and 108?
12
Suppose 0 = 5*y + 20*o - 18*o - 22, 16 = 4*y + 2*o. Calculate the greatest common factor of 19170 and y.
6
Let f = 29840 + -29792. Calculate the highest common divisor of 2202 and f.
6
Let u = 21523 + -21127. Calculate the greatest common factor of u and 484.
44
Suppose -4*q + 3*r + r = 0, -q - 4*r + 15 = 0. Suppose 9 + q = 6*s. Let h be 24*s - (3 - -1). Calculate the highest common divisor of 22 and h.
22
Let q(n) = 217*n - 1237. Let s be q(7). What is the greatest common factor of 2350 and s?
94
Let h(j) = 2*j**2 + 25*j + 42. Let i be h(-2). Suppose 14*k - 10*k = -4*s + 1504, -2*k - 5*s + 758 = i. Calculate the greatest common factor of k and 44.
22
Let g(r) = -331*r - 284. Let k be g(-4). Calculate the highest common divisor of 880 and k.
80
Let q(d) = 20*d**2 - d - 1. Let f(i) = i**3 + 24*i**2 - 25*i + 1. Let o be f(-25). Let r be q(o). Calculate the highest common factor of r and 18.
18
Suppose -5*j = 0, 2*h - 3*j + 2*j - 4 = 0. Let y(q) = 7*q + 291. Let d be y(-39). What is the highest common factor of d and h?
2
Let w(j) = -j**3 - 10*j**2 - j - 2. Let o be w(-10). Suppose p - 51 = o. Let z = -41 + p. What is the greatest common factor of 9 and z?
9
Suppose -5*l = -4*v - 32 - 377, 325 = 4*l - v. Suppose -756 = -108*u + l*u. Let h = 11 - 7. What is the greatest common divisor of u and h?
4
Let s(f) = -10*f**3 - 3*f + 4. Let r be s(-2). Suppose d - 4*m - 110 = -9*m, -521 = -5*d + 4*m. What is the greatest common factor of d and r?
15
Let c be 2*129*(-2)/(-4). Let v = c - 62. What is the highest common divisor of 335 and v?
67
Let i be (-37 + 29)*(2 - 29). What is the greatest common divisor of 512 and i?
8
Suppose -65*x + 6*x - 20*x + 164004 = 0. What is the highest common factor of 60 and x?
12
Let x(z) = 89*z**3 - 18*z**2 + 4*z - 6. Let h be x(2). What is the highest common divisor of 4708 and h?
214
Let t(d) = 6 + 2*d**3 - 420*d - 12*d**2 + 422*d - 2 + 3. Let a be t(7). What is the highest common divisor of 17 and a?
17
Suppose 5*b = -3*f + 125, -2*b + 2*f + 43 = -23. Calculate the highest common divisor of b and 826.
14
Let s be 11/((-1)/(-14 - -4)). Let k be (-1)/(-4) - ((-1012)/(-16) + -5). Let v = s + k. What is the greatest common factor of 4 and v?
4
Suppose 1859 = -30*y + 2009. Suppose -3*c = -5*t + 416, -56 = -t + c + 26. Calculate the greatest common divisor of t and y.
5
Let u = -3476 + 3485. Let t = 7 + 14. Calculate the highest common divisor of u and t.
3
Suppose 146 = 3*t - 4*q, 0 = -4*t + 4*q - 21 + 221. Calculate the greatest common factor of 1026 and t.
54
Let a(t) = t**3 + 9*t**2 + 108*t - 630. Let i be a(4). Let c = -243 - -623. What is the greatest common factor of c and i?
10
Let s = -7359 + 7359. Suppose -3 = -5*m + 2. Suppose s = 5*r + 3*i - 54, -m + 13 = 4*i. Calculate the greatest common divisor of r and 36.
9
Suppose 7*m - h - 6177 = 6*m, 3*m = -3*h + 18543. Calculate the greatest common divisor of 37 and m.
37
Let q = 3142 + -2981. What is the greatest common divisor of q and 476?
7
Let g(b) = 11*b - 98. Let q(s) = 10*s - 99. Let z(f) = -4*g(f) + 5*q(f). Let k be z(22). Calculate the highest common factor of k and 377.
29
Suppose 2*x = -4*w - 1148, -2*w = -2*x - 3*w - 1148. Let o = -568 - x. What is the greatest common factor of o and 492?
6
Let y(q) be the second derivative of 5*q**3/6 - 7*q**2 - 4*q + 1. Let k be y(16). What is the highest common factor of 528 and k?
66
Let n = -174 + 239. Let h = -39 + n. What is the highest common divisor of h and 117?
13
Let x be 15/25*((-5)/(-5) + 4). Suppose 0 = -3*b - 2*h + 790, 3*h + 29 = -x*b + 815. What is the greatest common factor of 14 and b?
14
Suppose 83*f - 37060 = 49*f. What is the highest common factor of f and 6758?
218
Let q = -213 + 225. Let k(s) = -75*s. Let f be k(-4). Calculate the greatest common factor of f and q.
12
Suppose 226*c - 231*c + 3*u = -4338, -2*u = -5*c + 4337. What is the highest common divisor of c and 255?
51
Let l(q) = q**3 + 9*q**2 + q + 2. Let v be l(-7). Let m be (-4)/(-2) + 6*((-245)/(-30) + -8). Calculate the greatest common divisor of m and v.
3
Suppose -32 + 50 = -6*o. Let a be 0 - (-1 + -25)/(o/(-12)). Calculate the greatest common factor of a and 13.
13
Let x be -1 - 18/(-5) - (-24)/60. Let l = 6 - x. Suppose -12 = -3*h - l. What is the highest common factor of h and 6?
3
Let h(k) = -k**3 + 19*k**2 - 2*k - 6. Let f be 2 - (-16 - (-2 - -3)). Let j be h(f). Let o = j + 80. What is the highest common factor of o and 54?
18
Let n(z) = -6*z**2 - 109*z - 410. Let c be n(-12). Let i be 1 - (-99