. Let l = -47 - -51. Let f be (-16)/(-12) + l/(-12). What is the greatest common divisor of o and f?
1
Suppose -21*f + 27799 = 22*f - 11675. What is the highest common divisor of f and 378?
54
Suppose 951 - 1032 = -149*j + 2601. What is the greatest common divisor of 288 and j?
18
Let v(t) = -6*t - 28. Let q be v(-8). Let l = q + 4. Calculate the greatest common divisor of 32 and l.
8
Suppose 109 = 3*b - 5*o, 4*b - 27 = -5*o + 95. Let f be 2*(10 - (-2 + 20/8)). Let z = b - f. Calculate the highest common divisor of 14 and z.
14
Let u(r) = 2*r + 31. Let c be u(-13). Suppose c*f - 11 = -2*d + 5, 0 = 3*d + f - 37. What is the highest common factor of 65 and d?
13
Let h be (38 - (19 + -13)) + -8. Calculate the greatest common divisor of 2616 and h.
24
Let z = 19 + -7. Let q(r) = -r**2 + 15*r - 37. Let l be q(12). Let o be (-3 - 9)/(l/3). What is the greatest common divisor of z and o?
12
Let d = 62 - 52. Suppose -2*s = -s - d. Suppose 4*b = 5*y - 71, -y - s*b = -5*b - 20. What is the highest common factor of 3 and y?
3
Suppose 0 = -3*i - 3*p + 4498 + 6377, -5*p = i - 3617. What is the highest common factor of i and 117?
117
Let r(t) = -t + 5. Let f be r(-13). Suppose 18*j = 12*j + f. Let z be 1*3 - (2 - j - 68). Calculate the highest common divisor of z and 48.
24
Let j = -1 - -4. Suppose -j*d - 4 = -28. Let r = 1 + d. What is the greatest common factor of r and 18?
9
Let r be (-34*219/8)/(6/(-96)*4). What is the greatest common factor of 2409 and r?
219
Suppose 0 = -m - 5, -3*z - 2*m = -72 - 23. What is the highest common factor of 85 and z?
5
Let b be (-5 - 3944/(-16))*-2. Let o = -453 - b. Calculate the greatest common divisor of o and 210.
30
Let f = -35 + 35. Let s(o) = o**2 - 8*o + 22. Let z be s(f). What is the greatest common factor of z and 44?
22
Let o be ((-84)/(-9))/(12/18). Suppose -13*c = -o*c + 2*s + 24, 108 = 3*c + 3*s. Calculate the highest common factor of 224 and c.
32
Suppose 68 = 31*x - 14*x. Let r(w) = w**3 + 4*w**2 + 1 - 4*w**2 - 2*w**2 + 3*w + 0. Let m be r(x). Calculate the highest common factor of m and 9.
9
Suppose 1980*b = 1974*b + 108. Calculate the highest common divisor of b and 162.
18
Let p(g) = g**3 + 7*g**2 + 6*g + 3. Let k be p(-6). Let h be 620/15 + k + (-2)/6. Let m = h + -22. What is the greatest common factor of 110 and m?
22
Let i be (-1 - -245) + 2 - 4. Suppose i = -20*j + 31*j. What is the greatest common factor of 2 and j?
2
Suppose 461*s - 8080523 - 98078 = 0. What is the highest common divisor of s and 157?
157
Let g(w) = -4*w + 32. Let y be g(13). Let c be (-1 - (-124)/y)/((-2)/5). What is the greatest common factor of 18 and c?
18
Let a = 3267 - 2487. Calculate the greatest common divisor of 120 and a.
60
Suppose 0 = -3*z + 5*i + 37, 7*i = -2*z + 5*i - 2. Suppose -55 = -z*c + 4*b + 53, 0 = -3*c - 3*b + 51. What is the greatest common factor of 198 and c?
22
Suppose -161*c = -146*c - 7657 - 8243. Calculate the greatest common factor of 20 and c.
20
Suppose 0 = -5*m - 228 + 3753. Suppose -m*w = -692*w - 3939. What is the greatest common factor of 404 and w?
101
Suppose 3*f + 2 = w, 5 = 5*f - 0. Let y(t) = 29*t**2 + 4*t + 7. Let h be y(-2). Calculate the highest common factor of w and h.
5
Let f(x) be the second derivative of 1/20*x**5 + 0 - 1/6*x**3 + 34*x + 1/4*x**4 + 7/2*x**2. Let m be f(-3). Calculate the greatest common divisor of 2 and m.
2
Suppose 0 = 3*m - 5*z - 30, -2*m + m - 5*z = -10. Let r(c) = c**3 + 40*c**2 - 97*c - 116. Let l be r(-42). What is the highest common divisor of l and m?
10
Let m = 234 - 240. Let a(h) be the second derivative of -h**3 + 3*h**2 - h. Let t be a(m). Calculate the greatest common divisor of 6 and t.
6
Let o = 205 + -377. Let w = o + 310. Calculate the greatest common factor of w and 6.
6
Let g(d) be the third derivative of -d**6/60 - d**5/12 - d**4/24 - 8*d**3/3 + 4*d**2 - 32*d. Let b be g(-5). Calculate the greatest common divisor of b and 171.
57
Let y = 243 - 243. Let s be (2 - 6) + (0 - y - -15). Calculate the highest common factor of s and 77.
11
Suppose 3*j + 16 = n, -2*n - 2*j = 10 - 50. Let u(p) = -7*p - 2. Let f be u(-3). Suppose i = 2*i - f. Calculate the greatest common divisor of n and i.
19
Let a = 9200 - -18022. What is the greatest common factor of a and 78?
78
Let y = -2993 + 3063. What is the greatest common factor of y and 1970?
10
Suppose -5 = 5*w, -f + w + 13 = 2*f. Suppose -f*m = -5*r + 21, 0*r + 3*r = -m - 1. Let t be (55/(-44))/(1/m). Calculate the greatest common divisor of 1 and t.
1
Let v = -109 + 203. Let m be (1 - 0 - -4) + 460/2. Calculate the greatest common factor of m and v.
47
Let c = 97 + 1. Suppose 5*p + b - 2*b = 38, 3*p + 2*b = 15. Let k = p - -7. What is the greatest common factor of k and c?
14
Let k be 20/((-220)/(-957))*(-14)/(-2). Let m(c) = -c**2 - 9*c + 7. Let d be m(-7). Calculate the highest common factor of k and d.
21
Let p(d) = 37*d**2 - 96*d - 699. Let y be p(-7). What is the highest common factor of 282 and y?
94
Let i(m) = 1838*m - 448. Let b be i(32). Calculate the highest common divisor of b and 228.
228
Let h be (-124)/(-9) + 2/9. Let g be (3/(-1))/((-6)/h). Let f be -10*5/(130/(-91)). Calculate the highest common factor of g and f.
7
Let r = -5135 + 10785. What is the greatest common factor of 50 and r?
50
Let w be (152/(-10) - 0)/(412/(-13390)). What is the greatest common factor of w and 1326?
26
Let y = 301 + -230. Suppose 0 = 21*p - 181 - y. Calculate the greatest common divisor of 15 and p.
3
Suppose -95*n + 126*n = -80013 + 311397. What is the greatest common factor of n and 48?
24
Suppose 1699*r = 1691*r + 18824. What is the highest common divisor of 13 and r?
13
Let x(b) = 10*b + 1497. Let f be x(87). Calculate the greatest common factor of f and 9.
9
Let i be (15 - 2)*((-9)/5)/(13/(-195)). Calculate the greatest common divisor of 54 and i.
27
Let o(v) = -12*v - 46. Let g be o(-4). Let x be 124*g/8*(0 + 1). Calculate the highest common factor of x and 868.
31
Let w = 7 + -4. Suppose -9*t = -14*t - 775. Let c = -152 - t. Calculate the highest common divisor of w and c.
3
Let m(r) = 47*r + 14. Let f(k) = 7*k**2 - k - 1. Let a be f(-1). Let q be m(a). Let d be q/21 - (-4)/6. What is the highest common divisor of 34 and d?
17
Suppose -5*v + 2*c + 104 = 0, -4*c - 22 + 94 = 4*v. Let p(s) = -11*s**2 - 98*s - 77. Let m be p(-7). Calculate the greatest common divisor of v and m.
10
Suppose 0 = -93*p - 31 + 3937. Let g = -881 - -1553. Let y be ((-4)/(-8))/(4/g). What is the greatest common divisor of p and y?
42
Suppose 4*h - 7*k = -3*k + 17336, 0 = -5*h - k + 21676. What is the highest common divisor of 17 and h?
17
Let k = 14 + -10. Let b = -1735 + 2595. Suppose 10*o + b = 960. Calculate the highest common factor of k and o.
2
Let m(g) = -g**3 - 7*g**2 - 7*g + 8. Let t be m(-6). Suppose -316 = 2*a - 1030. Suppose 21 = -8*y + a. What is the greatest common factor of y and t?
14
Suppose -6*q - 3*q + 18 = 0. Suppose q*v - 579 = 6*v + 3*j, -4*j = -2*v - 284. Let o = 291 + v. Calculate the highest common divisor of o and 49.
49
Let u be ((-1)/(-3) - 200/(-12))*-7. Let c = -115 - u. Suppose -38 = -3*k - 2*l, c*l = -k - 10 + 26. Calculate the highest common divisor of k and 108.
12
Let h be (-4)/(12/(-47)) - 19/(-57). Suppose 0 = 5*w - 5*o - 560, 0*w - 3*w - 3*o = -336. Calculate the highest common factor of h and w.
16
Let k be 58/(-6*(-6)/72). Suppose 7*o + 4*f = 9*o - k, 5*o = 4*f + 260. Let x = -11 - -23. What is the highest common divisor of o and x?
12
Let w(d) = -144*d - 142. Let r be w(-10). Calculate the greatest common divisor of r and 22.
22
Suppose 5*f - 74 = i - 77, 2*i - 42 = -2*f. Calculate the highest common divisor of i and 1962.
18
Suppose 107*g + 92*g - 1568 = 171*g. What is the highest common divisor of 5278 and g?
14
Suppose 4*v + 22 = 26. Suppose q - d = -3*d - v, 8 = q - d. Suppose q*n + 3*w - 21 = 0, -n + 5*w + 9 = -2*n. What is the greatest common factor of n and 24?
6
Suppose 0 = 2*w - 0*w - 3*h + 10, -4*w + h - 10 = 0. Let x(j) = -17*j**3 + 2*j**2 + 6*j + 4. Let m be x(w). What is the greatest common divisor of m and 8?
8
Let s = -413 - -412. Let i(q) = -226*q - 5. Let h be i(s). Calculate the greatest common factor of h and 34.
17
Let d(t) = -t**3 - 8*t**2 - 6*t + 1. Let g be d(-6). 