.
31
Suppose c + 2*a - 12 - 8 = 0, -2*c + 10 = -2*a. Let d = 17 + -18. Let m be 30/10 + (11 - d). Calculate the greatest common factor of m and c.
5
Let t(d) = d**2 - 7*d + 6*d + 5*d + 9 + 3*d. Let o be t(-7). Calculate the greatest common divisor of 30 and o.
3
Let d(x) = -39*x + 159. Let n be d(4). Suppose -3*h - 1 = -z - 6*h, z = -h + n. What is the greatest common divisor of 30 and z?
2
Let y = 5482 + -5472. Calculate the greatest common divisor of y and 470.
10
Let p(w) = -5*w**3 - 66*w**2 - 285*w + 15. Let t be p(-6). What is the highest common factor of t and 297?
33
Let y(b) = 3*b**2 + 272*b - 81. Let l be y(-91). Suppose 0*s - 5*u - 440 = -5*s, -5*s - 4*u = -458. Calculate the greatest common divisor of s and l.
10
Let w be 114/(-380) + 1089/30. Calculate the highest common factor of 666 and w.
18
Let n = -1149 + 2274. Let h be (25/(n/(-18)))/((-1)/1780). What is the greatest common factor of h and 8?
8
Suppose -103 = -2*w - 4*j + 69, 0 = j - 8. What is the highest common divisor of 13895 and w?
35
Suppose 5*z - 139 - 36 = 0. Let y = z - 35. Let o be (y - 1)/((-1)/(-7))*-1. What is the highest common factor of o and 2?
1
Let i = 5 - -3. Let t = 133 - 160. Let g be (-2)/t + (-3286)/(-837). What is the greatest common factor of i and g?
4
Suppose 51*a - 5231 - 6301 = 1014. What is the highest common factor of 3772 and a?
82
Let w(q) = q**2 - 17*q - 144. Let x be w(-6). Suppose -5*d - 135 = -2*d. Let b be (-56)/x - 30/d. Calculate the highest common divisor of 10 and b.
10
Let w be 25641/945 - 4/30*1. Suppose -11*n - 112 = -w*n. Let a be ((-21)/9)/(2/(-24)). Calculate the highest common divisor of n and a.
7
Let t be 3474/18 + -5 - (6 - 1). Calculate the highest common factor of t and 2928.
183
Let z = 4948 + -4877. Let i = 446 + -233. Calculate the greatest common factor of i and z.
71
Suppose 3*i = 3*b + 357, 10*b - 5*b = -3*i + 357. Suppose -4*p = 5*q - 31, q = -q + 6. Let u be p/1 - 9/(-3). What is the highest common factor of u and i?
7
Suppose -499*x + 564*x = 249470. Calculate the greatest common factor of 76 and x.
38
Let j(w) = -4*w + 22. Let h be j(5). Suppose -4*x + h*r = -6*x, -5 = 4*x - r. Let n be 4 + x*(-312)/3. What is the greatest common divisor of n and 72?
36
Suppose 0 = -45*g + 1823 + 787. Calculate the greatest common factor of g and 6.
2
Let i = 5583 + -3263. Calculate the greatest common factor of i and 145.
145
Let w(l) = l**3 - 90*l**2 - 276*l - 216. Let s be w(93). Calculate the highest common divisor of s and 1988.
7
Suppose -4*u + 322681 = 2*l + 22699, 2*u = 2*l + 150012. Calculate the highest common divisor of 37 and u.
37
Suppose -4*k + 3*m = -1955 + 576, -691 = -2*k + m. Let i = -323 + k. What is the greatest common divisor of 4 and i?
4
Suppose -w + 9*k - 8*k = 225, 3*w + 5*k + 707 = 0. Let y = -149 - w. Calculate the highest common divisor of 48 and y.
16
Let r(c) = 8*c**3 + c - 2. Let u be r(2). Suppose -2*y - 391 = -3*m, 23*y + 772 = 19*y + 4*m. Let h = -180 - y. What is the highest common factor of u and h?
8
Let d be 1/(-3) + (-2)/8 + (-8666)/(-168). Calculate the highest common factor of d and 11373.
51
Suppose 0 = -122*k + 121*k + 6. Let f(j) = 15*j + 96. Let i be f(k). Calculate the greatest common divisor of i and 62.
62
Suppose -4 = -4*u - 8. Let q(z) = 12*z + 3. Let h be q(0). Let l be (2/h)/u - 20/(-3). Calculate the greatest common factor of 9 and l.
3
Let a be (-60)/(-50)*10/4. Suppose a - 4 = 4*b - s, 5*s - 21 = 4*b. Let f be 17 + -19 - (-5 + b). What is the greatest common divisor of 4 and f?
2
Let y = 2 - -15. Suppose -11*d + 12*d + 74 = 0. Let h = 159 + d. Calculate the greatest common factor of h and y.
17
Suppose -19*o + 22*o = -6. Let z(w) = 19*w**2 - 5*w - 5. Let s be z(o). Calculate the highest common divisor of 1458 and s.
81
Suppose 3*n - 47 = 2*k + 23, 2*n + 156 = -4*k. Let j = k - -93. Let y be ((-44)/j)/(2/(-35)). Calculate the highest common factor of y and 126.
14
Let a be 580/990 - (-2)/(-9) - 370084/(-484). What is the highest common factor of a and 720?
45
Let k = 26502 - 26414. Let n(i) = -56*i - 2. Let m be n(-2). What is the greatest common divisor of m and k?
22
Let z(c) = -23*c - 14. Let w be z(-3). Let l = w - -5. Let y(m) = -m**2 + 12*m + 8. Let t be y(8). Calculate the greatest common divisor of l and t.
20
Let r = 293 + -259. Suppose -3*t + r = -26. Calculate the highest common factor of 50 and t.
10
Let i be (-14)/(-4)*6/(-7 - -4). Let y = i - -9. Let s be 18*(12/(-9) + y). What is the highest common factor of 20 and s?
4
Let v = -3510 - -3572. Calculate the greatest common factor of 3813 and v.
31
Let q = -74 + 89. Let u(t) = 15*t**2 + 4*t - 2. Let l be u(-3). Let h be 3652/l - 2/11. Calculate the greatest common divisor of q and h.
15
Suppose -2*u = 3*o - 4686 - 1123, 0 = o + 5*u - 1919. Calculate the highest common divisor of 14 and o.
7
Let y(a) = -a**3 + 7*a**2 + a - 6. Suppose 2*h = -11 - 25. Let v be (-3)/h + (-41)/(-6). Let t be y(v). What is the greatest common divisor of t and 9?
1
Let h be (-4)/(-18) - (-54234)/162. Suppose h + 31 = 6*i. Suppose -4*t - 25 = 4*f - i, 4*t = 4*f + 36. Calculate the highest common divisor of t and 90.
9
Suppose 5*f + v + 6 = 62, -v + 36 = 3*f. Calculate the highest common divisor of 74 and f.
2
Let d(t) = 0*t**2 + 11*t**2 - 3*t**2 - 7*t**2 + 0*t**2 + 150 + 28*t. Let x be d(-23). What is the greatest common divisor of 55 and x?
5
Suppose -2*p = -2 + 6, -3*p + 463 = u. Let n = u - 841. Let x be n/(-18) + 6/(-9). What is the greatest common factor of x and 30?
10
Suppose 2*n - 19 = -3. Let b(p) = p**2 + 35. Let d be b(-5). Let v = d + -44. Calculate the highest common factor of v and n.
8
Let s be -3*21/9*-2. Let y(k) = 57*k + 10*k**2 - k**3 + 45 - 69*k + 34*k. Let o be y(12). Calculate the greatest common divisor of o and s.
7
Let k(s) = -12*s + 1. Let i be k(-1). Let h be 5 + 40/(-8) + (-28 - -93). Calculate the greatest common divisor of h and i.
13
Suppose 63*v - 85576 - 564836 = 0. What is the greatest common divisor of v and 232?
116
Let q(c) be the first derivative of -c**3/3 - 11*c**2/2 - 14*c - 96. Suppose 0 = t + 2*t + 18. Let y be q(t). What is the highest common factor of y and 24?
8
Let d be ((-2)/(-6))/((-5)/(-510)) + -3. Let k = d + 173. Suppose 4*w + 34 = 82. Calculate the greatest common factor of k and w.
12
Suppose -3*l + 53 = 2*b, 0 = -3*b + 4*l + 37 - 0. Suppose -b*z = -17*z. Suppose -u + 4*u - 288 = z. What is the highest common factor of u and 12?
12
Let a = -3201 + 3225. Suppose -2*c + 16 = 2*c. Suppose -k + 5*u + 11 = 2*k, c*k - 4*u - 28 = 0. What is the greatest common divisor of k and a?
12
Suppose -3*w = 2*w - 5*f - 810, -2*w + f + 322 = 0. Let g(i) = 76*i - 468. Let x be g(7). What is the greatest common divisor of x and w?
32
Suppose -3*a - 3*o + 5*o = -8, -5*o = 5. Suppose 34*m - 7*m = 2835. Suppose 13*z - m - 77 = 0. Calculate the highest common divisor of a and z.
2
Suppose -120*c = 70442 - 111045 - 163517. What is the highest common divisor of c and 3?
3
Let j = -45 + 225. Suppose -12 = -4*f + 132. What is the highest common divisor of f and j?
36
Suppose 0 = -0*y - 4*y + 96. Let f(c) = c**2 - 911*c + 157256. Let p be f(231). Calculate the highest common factor of p and y.
8
Let h(q) be the third derivative of -q**4/12 - 2*q**3/3 + 4*q**2. Let p be h(-5). Let f be (395/5 - 1) + -6. What is the greatest common factor of p and f?
6
Let d be (265 - 2) + (13 - 18). What is the highest common divisor of d and 78?
6
Suppose -3*o - 36520 = -5*o. Suppose 0 = 11*n - 16*n - o. Let k be n/(-33) + (-4)/6. What is the highest common factor of 44 and k?
22
Suppose 46*u - 7904 = 14*u. What is the greatest common factor of u and 78?
13
Let v = -1509 + 1664. What is the greatest common divisor of 837 and v?
31
Let a be (1 - (-1 + -7))*1. Let n = 345 - a. What is the highest common factor of 21 and n?
21
Let j be (-8)/14 + (-1800)/(-63). Suppose -o + a = -36 - 81, a + 5 = 0. What is the greatest common divisor of j and o?
28
Suppose 0 = 190*f - 589139 + 108819. Calculate the greatest common divisor of 96 and f.
32
Let f be 0 + (-6)/(-1 - 0). Suppose 5*o - 4*i = 60, 0 = -5*o + 5*i - 3*i + 60. Let a be (2 - 3/f)/(o/352). Calculate the highest common divisor of 110 and a.
22
Let k be 168/9*(-5)/4*-3. Let z = 