
Suppose 28*p = 25*p - 5*u + 2025, 3*u + 9 = 0. What is the highest common factor of 2380 and p?
340
Let w(x) = -x**3 + 15*x**2 + 5*x - 12. Let b be 1395/108 + 3/36. Let t be w(b). Calculate the greatest common factor of t and 23.
23
Let d = -4460 + 4499. Calculate the highest common divisor of 6981 and d.
39
Let t(o) = -o. Let p(a) = -65*a - 105. Let f(n) = p(n) - 4*t(n). Let v be f(-9). Calculate the highest common divisor of v and 12.
12
Suppose 0 = -53*r + 7*r - 31418. Let s = r - -751. Suppose 0 = p - 9 - 8. What is the highest common factor of p and s?
17
Suppose -6*b - 5 = -b. Let m be ((-34)/6)/(b/3). Let i be ((-561)/(-6))/(344/688). Calculate the highest common factor of m and i.
17
Let z be -2 - ((-33)/(-9))/(2/(-156)). Suppose -2*a + 2*y + z = 0, 3*a - 5*a - y + 287 = 0. What is the highest common factor of 13 and a?
13
Suppose 12 - 84 = -36*s. Let h be 840/(-28)*(-1)/1*s. Calculate the highest common factor of 5 and h.
5
Let k be (0 + 84/(-18))*(-2280)/140. Let l = 17 - 89. Let y = k + l. Calculate the greatest common divisor of 12 and y.
4
Suppose 3*h = 5*h + 40. Let b = 35 + h. Suppose 0 = -2*c + 4*c - 18. What is the greatest common divisor of b and c?
3
Let q = 2 + 0. Suppose -11*d - 2903 = -2936. Suppose -q*n + 5*b + 280 = -112, d*b = 0. Calculate the greatest common factor of n and 28.
28
Let l(u) = u**3 + 2*u**2 + u + 20. Let i be l(0). Let z = -461 + 491. Calculate the highest common factor of z and i.
10
Let n(w) = -w**3 - 4*w**2 + 4*w + 13. Let x be n(-5). What is the highest common divisor of 5856 and x?
6
Suppose 0 = -2*j + 104 + 54. Let z = j + -68. Let m(d) = 56*d**2 - d. Let c be m(1). Calculate the highest common factor of c and z.
11
Let v = 32 - 16. Let m be (v/(-14) + 2)*14. Let o = -427490 + 427498. What is the greatest common divisor of m and o?
4
Let v(t) = 104*t**2 - 536*t + 17. Let d be v(-7). Calculate the highest common factor of d and 45.
45
Suppose -5*p - 1136 = -3261. Suppose 16*b - p = -b. Calculate the highest common divisor of b and 25.
25
Let z(w) = -w**2 - 7*w - 4. Let l be z(-4). Let s be 8/(-16)*(-215 + 7). What is the greatest common divisor of s and l?
8
Suppose 505*i + 764 = -9010 + 66334. Suppose 0 = 6*c + 1365 - 8757. What is the greatest common divisor of i and c?
112
Let s = -1 - 0. Let b = s - -12. Let z(h) = 2*h**3 + 18*h**2 - 37*h - 6. Let y be z(3). What is the greatest common factor of y and b?
11
Suppose m = -3*t + 31, 28 = 3*m - 4*t - 26. Suppose 116*j = 104*j + 4488. What is the greatest common divisor of j and m?
22
Let d = -750 - -368. Let q = 616 + d. Calculate the greatest common divisor of 26 and q.
26
Let f(d) be the first derivative of 3/2*d**2 + 15*d - 1/4*d**4 - d**3 + 2. Let m be f(-6). Calculate the greatest common divisor of 42 and m.
21
Let d be (-30)/(-3) - -885*36/54. Calculate the highest common divisor of 312 and d.
24
Let w = 8 + -7. Let p be 275/176*4*92/w. What is the highest common divisor of p and 25?
25
Let f be (2244/34)/(2 - 1). Suppose -r = -138 + f. Calculate the greatest common divisor of 16 and r.
8
Let i = -12209 + 14738. Calculate the highest common factor of i and 9.
9
Let c(v) = 5*v**2 - 129*v + 849. Let b be c(8). Calculate the highest common factor of b and 2.
1
Let s(b) = b**2 - 76*b + 299. Let h be s(-33). What is the highest common factor of 8 and h?
8
Let y(w) = -119*w - 7. Let o be y(-3). Let v(q) = q**3 + 12*q**2 + 25*q - 14. Let a be v(-8). Calculate the greatest common divisor of o and a.
14
Let q = 10342 + -10231. Calculate the greatest common divisor of 117 and q.
3
Let d(n) = -135*n - 59. Let b(h) = -27*h - 12. Let f(u) = 11*b(u) - 2*d(u). Let c be f(-7). What is the highest common factor of 35 and c?
35
Let n(m) = -m**3 + 12*m**2 - 12*m + 6. Let b be n(3). Suppose 0 = -h + y + 152, 764 = 3*h + 2*h - y. What is the greatest common divisor of b and h?
51
Let o(z) = -62*z - 2344. Let y be o(-38). What is the highest common divisor of 2382 and y?
6
Suppose -207*f + 660913 = 14038. Calculate the greatest common divisor of 75 and f.
25
Let d be 4/(-10) - 868/(-20). Let c = 40 - d. Let b be (-2)/c - (-50)/6. Calculate the greatest common divisor of b and 27.
9
Suppose 5*m - 10 = 5*s, 14*m - 5*s - 3 = 10*m. Calculate the highest common factor of m and 5663.
7
Let h = -80 - -85. Suppose 22*g - 23*g = h*t - 1703, 0 = 2*t + 2*g - 678. Let o be 31 + 0*(3 + -2). What is the highest common factor of t and o?
31
Let f(b) = b - 1. Let p be f(4). Suppose 9*n - 12*n = -21. Suppose n*c - p*c = 380. Calculate the highest common divisor of c and 38.
19
Let l = 1946 + -1802. What is the highest common divisor of 57 and l?
3
Let w = 105 + -101. Suppose w*v - 226 = 2*z, 0 = 4*v - 9*v + 5*z + 275. Suppose -62*n + 124 = -v*n. Calculate the highest common factor of n and 155.
31
Suppose -m = 5*r - 89, 3*r = -2*m + 61 + 117. Suppose 0 = -2*n + m + 15. Calculate the greatest common divisor of n and 65.
13
Suppose 67*g - 142 - 193 = 0. Calculate the highest common factor of 32 and g.
1
Let f(t) = -15*t - 4. Let b be 9 - (3/(-9))/((-4)/12). Suppose i + 3*y = -7, i + i = 5*y + b. Let u be f(i). What is the greatest common divisor of u and 143?
11
Let c = 12502 - 12497. Let q be -7*(-12)/2 - 2. Calculate the highest common factor of c and q.
5
Let d(i) = 31*i + 57. Let b(l) = -91*l - 172. Let y(s) = -3*b(s) - 8*d(s). Let z be y(0). What is the highest common factor of z and 24?
12
Let k(l) = 2*l + 1. Let o(v) = -v**2 + 22*v - 78. Let x(y) = 2*k(y) + o(y). Let u be x(22). What is the greatest common divisor of 324 and u?
12
Suppose -6*r - r = -21. Suppose -40 = -r*l - 7*l. What is the highest common divisor of 4 and l?
4
Suppose 4*x - 3*b - 134 = 0, -3*x + 2*b - 2 + 103 = 0. What is the highest common factor of 224 and x?
7
Suppose 41 = m + 35. Suppose -14*i + 4672 = -m*i. Calculate the greatest common divisor of 8 and i.
8
Suppose j + 1708 = b + 1662, -3*j = -b + 50. Let f be (-99)/(-12) + (-1)/4. What is the highest common divisor of f and b?
4
Let y(h) = -131*h + 3055. Let s be y(-13). Calculate the highest common factor of 54 and s.
6
Let c = -7 - -10. Suppose -390 = -c*u - 3*u. Suppose -10*w - 15 = -u. What is the greatest common divisor of 10 and w?
5
Let z(w) be the second derivative of -w**3/3 + 163*w**2 + 128*w. Let m be z(46). What is the highest common factor of 144 and m?
18
Suppose -j - 4*k + 80 = 354, -3*j + 3*k = 822. Let h = j + 424. What is the highest common divisor of h and 60?
30
Let r = 4835 - 4742. Calculate the highest common factor of 27 and r.
3
Let l(m) = 163*m - 6. Let t be l(2). Suppose 64 = 4*h - t. What is the highest common factor of h and 128?
32
Suppose -2*m = 3*h + h + 208, 0 = 4*m - 16. Let b be 9/(-2)*16128/h. Calculate the highest common divisor of b and 16.
16
Let w(k) = 13*k**2 - 25*k + 9. Let q be w(5). Calculate the highest common factor of 380 and q.
19
Suppose 72*r - 31*r + 39900 = 53*r. Calculate the greatest common factor of 700 and r.
175
Let v(w) = 6*w**2 - 49*w - 171. Let b be v(11). What is the greatest common factor of b and 328?
8
Suppose 355*v - 234*v = -47*v + 377832. Calculate the highest common factor of 117 and v.
13
Let u = 4010 - 3902. What is the highest common divisor of u and 486?
54
Let d(y) = -63*y - 540. Let f be d(-9). Calculate the highest common divisor of f and 45.
9
Suppose -2*q = -32*q + 240. Let c be (-144)/(-7 - (-48)/q). Let l = 30 - 12. Calculate the greatest common factor of l and c.
18
Let b(y) = -2*y**3 - 73*y**2 + 53*y + 1162. Let v be b(-37). Calculate the highest common factor of 20235 and v.
285
Suppose -4*y + 5*a = -3178 - 459, -4*a - 3640 = -4*y. What is the greatest common divisor of 332 and y?
83
Suppose 0 = 2*h + 3*i + 115, 2*i - 50 = h + i. Let g = -51 - h. Calculate the highest common divisor of 32 and g.
2
Suppose 3*o + 5*b - 1085 = 0, -b = -0 + 5. Suppose -6*w = -o + 34. Calculate the highest common divisor of w and 70.
14
Suppose 37*g + 19298 - 150833 = 0. What is the highest common factor of g and 79?
79
Suppose -415808 = -6942*k + 6926*k. Calculate the highest common factor of 356 and k.
356
Let y(j) = -j**2 - 92*j - 1320. Let t be y(-73). Let g = -16 + -16. Let k = g + t. What is the highest common divisor of 175 and k?
35
Let i be (-159959)/(-2266)*(-4)/(-2) + 4/(-22). 