enominator of -103/5572 and (-1)/(-15)*40/((-1440)/486).
27860
Calculate the common denominator of 23/528 and (-7 - 786*(-8)/900)/(9/513).
13200
Let y be -6 - -4*14/7. Find the common denominator of 67/24 and y/(-10) + 4294/(-10830).
456
Let w(m) = 2*m**2 - 20*m - 32. Let k = 69 + -56. Calculate the least common multiple of 8 and w(k).
184
Suppose -282*s = -280*s - 6, -g - 3*s + 29 = 0. Calculate the smallest common multiple of 492 and g.
2460
Let f(i) = -25*i - 49. Let h be f(10). Let x = h - -306. What is the lowest common multiple of x and 21?
21
What is the common denominator of 15141/(-1442)*(-11)/60 and 49/1315?
10520
Suppose -11*m + 12*m = -11776394. Let l = 188319207/16 + m. Let i = l + 6441. Find the common denominator of i and -59/18.
144
Let f(x) = 1246*x**2 + 7470*x - 20. What is the smallest common multiple of (2/4)/(1/12) and f(-6)?
48
Let q = -25 - -51. Suppose -u = 6*h - 4*h - 18, 5*u - 2*h - 90 = 0. What is the smallest common multiple of 1 - 0 - q/(-2) and u?
126
Let k be (-1)/(-17 + -1)*(-583080928)/(-11088). Let b = k - 943/567. Let y = -2922 + b. Find the common denominator of 17/8 and y.
88
Let z be -5*((-12152)/35)/(-7). What is the common denominator of 4/(-10) + 1011/(-60) and 371/(-184) - 31/z?
92
Let r = -102841/8430 - 1/1686. Calculate the common denominator of r and -81/1720.
1720
Let j be (-117)/(-90) + 9/(-30). Find the common denominator of 109/40 and (9 - 1210/155)*j/4.
1240
Let k = -455/9 - -1105/18. What is the common denominator of k and 17/802?
2406
Suppose 5 = 3*w - 7. Let p(s) = s**3 - 13*s**2 + 9*s - 21. Let u be p(13). Suppose -5*m = 19*m - u. What is the smallest common multiple of m and w?
4
Let x be 18/24 + 6/(-8). Find the common denominator of (1 - -1) + (-595)/(-28) + x and 137/36.
36
Calculate the common denominator of 22/7995 and ((-1)/20)/(12/3020).
31980
Let p = -7435/174 + 1128/29. Calculate the common denominator of -77/369 and p.
738
Suppose 4 = s + 2. Let y = 188489/198 + -10548/11. What is the common denominator of 79/20 - s - 1 and y?
180
Let r be 351 + (-6)/(1 - -5). Find the common denominator of -41/6 and (-7)/(r/120)*(-8)/(-18).
30
Suppose -140*n + 138*n + 21 = l, 2*l = 4*n - 30. Calculate the lowest common multiple of l and 174/15 + (-6)/(-15).
12
What is the common denominator of 1308/81 + (-78 - -61) and 113/3312?
9936
Calculate the smallest common multiple of (-16)/(-22) + 10098/1089 and 955.
1910
Let y(b) = 883*b + 7092. Suppose -4*s + 172 + 4 = 0. Calculate the least common multiple of y(-8) and s.
308
Let o = -33 - -39. Suppose 6 = o*k - 12. Suppose 14 = k*c - c. What is the least common multiple of c and 1?
7
Let u = 17656 - 17369. What is the smallest common multiple of 224 and u?
9184
Suppose -2*a - 6*m = -2*m - 16, 4*a - 5*m = -7. What is the smallest common multiple of -4 - (a - (5 - -7)) and 49?
294
Let m = -242 - -398. Suppose -160*h + 16 = -m*h. Let t(l) = -l**3 - 6*l**2 - 6*l + 6. Calculate the lowest common multiple of h and t(-5).
44
Suppose 7*g + 2 = 30. Suppose 0 = -g*s + 140 + 168. What is the smallest common multiple of 7 and s?
77
Let f be (-651 + -3)/(-2*(7 - 6)). Suppose 0 = -6*o - 183 + f. Calculate the least common multiple of o and 72.
72
Let n = -9149403 - -2845467025/311. Let i = n - 5755657/1866. Let x = 3060 + i. What is the common denominator of x and -65/2?
6
Let x = -45 - -61. Let z(n) = n**2 - 3*n - 8. Let l be z(-8). Suppose -4*i = i - l. Calculate the smallest common multiple of i and x.
16
Calculate the least common multiple of 2/(12/(-21))*(-3312)/483 and 140.
840
Suppose 0 = -3*q + 5*m + 21, 3 = 3*q + m. Suppose -40 = -2*y + q*k, 0*y - 3*y = 3*k - 60. Let d = 51 - 45. Calculate the smallest common multiple of y and d.
60
Suppose 4*u = -2*i + 100, 0*i + 73 = 3*u + 2*i. Let o(w) = 228*w - 2259. Calculate the least common multiple of u and o(10).
189
Let n = -134056018/1029 - -130278. What is the common denominator of -143/84 and n?
4116
Let t(b) = -33*b + 129. Let c be t(4). What is the common denominator of (-3)/198*c*(-1552)/32 and -79/14?
308
Let i be (-2620)/(-5)*(3 - (-28)/(-8)). Let x = -258 - i. Calculate the least common multiple of 14 and x.
28
Let p = -44 - -56. Suppose 6*d + 12 = p*d. Suppose d*y + 4*v - 3*v - 24 = 0, 5*v - 60 = -4*y. Calculate the least common multiple of 9 and y.
90
Suppose 4 = 4*y, 5*y - 48 = -5*u + 12. Let b = 9 + 6. Suppose -18*g + 15 = -b*g. Calculate the smallest common multiple of u and g.
55
Calculate the common denominator of (-7021)/1770 + (0 - 6/15) and -17/93.
930
Suppose -o + 3*o = -2. Let u be (o - -7)/((-6)/(-8)). Suppose -2*k + 4*i = u*i - 8, 1 = 3*k - 5*i. What is the lowest common multiple of 8 and k?
8
Let z = -6538 - -6546. What is the lowest common multiple of z and 260/4 + 4 - -3?
72
Suppose 104*o - 75272 = 7*o. Calculate the least common multiple of o and 8.
776
Let c = -171 - -187. Suppose 6*h - c = -2*h. What is the smallest common multiple of (6/4)/((-1)/(-6)) and h?
18
Let s(k) = -59*k + 13817. Calculate the lowest common multiple of s(171) and 20.
18640
Let k(h) = -20*h**3 + 6*h**2 + 49*h + 326. What is the lowest common multiple of k(-6) and 14?
31976
Let f(x) = 2*x**2 - 22*x + 42. Let k be f(13). Let m be 1/(281/k - 3). What is the common denominator of m/(-54) + 0 + 6/(-27) and -127/18?
54
Let r = 41 + -29. Find the common denominator of (159*(5 - 1)/r)/(-4) and -101/2.
4
Calculate the least common multiple of 910 and -13*(8*(-147)/28)/(2/3).
8190
Let r = 1294679/525 - 17258/7. Find the common denominator of 49/633 and r.
15825
Let j be 4/16 - 0 - 1466052/16. Let p be 10/12*j/(-60). Let q = p + -1272. Calculate the common denominator of 64/33 and q.
198
Let b = -11792 - -12998. What is the lowest common multiple of 134 and b?
1206
Let v = 41660 - 83287/2. What is the common denominator of -19/82820 and v?
82820
Suppose -2*b - 2 = -8, 3*b - 49 = -2*d. Suppose 2*l - 7 = 17. Suppose 0 = -0*f + f - l. What is the least common multiple of f and d?
60
Let n be (-1 + (-29471)/136)/((-96)/320). Let b = 726 - n. Find the common denominator of b and -5/6.
204
Suppose 6*p + 19342 = 7*p. Let m be (-348109)/(-18) - (-9)/(-3). Let v = m - p. Calculate the common denominator of v and -35/12.
36
Let r = 8062 - 8034. What is the smallest common multiple of 1356 and r?
9492
Calculate the common denominator of (-7)/(3066/(-4))*(1014/192 + 4) and -63/8.
1168
Let j = 319 + -229. Let u = 1235 - 1217. What is the smallest common multiple of j and u?
90
Let y(z) = -z**3 + 43*z**2 + 87*z + 149. What is the least common multiple of y(45) and 644?
644
Let a(w) = -203*w - 1580. What is the lowest common multiple of 132 and a(-8)?
132
Let t = -155294 + 17392815/112. What is the common denominator of 1/70 and t?
560
Suppose 0 = 2*s + 121*m - 117*m - 628, 0 = 3*m + 24. What is the lowest common multiple of 66 and s?
330
Let b = -479 + 8635/18. Let r = 667685/132 + -5057. Calculate the common denominator of b and r.
396
Suppose 1 = -v - 3*w + 8*w, -2*w + 22 = 5*v. Let t(n) = n**3 - 4*n**2 + 8*n - 8. What is the least common multiple of t(4) and v/(-16) - 130/(-8)?
48
Suppose 3*f - 7*f = 48. Let i be 1 - 0 - 584/f*-9. Let h = i + 4814/11. Find the common denominator of h and 11/27.
297
Let f be (-86)/(-9) + (-17 - (-2512)/144). Let r(x) = x - 14. Let y(d) = 15. Let n(l) = 3*r(l) + 2*y(l). What is the smallest common multiple of n(f) and 2?
18
Suppose -306 = 2*l - s + 53, 5*l + 903 = -3*s. Calculate the common denominator of -53/4 and (-1251)/l + -4 + 2.
20
Let c be ((-2)/1 + -1)/((-132)/220). Suppose 9*f - 12*f + 269 = -a, -c*f = -2*a - 450. Calculate the smallest common multiple of f and 16.
176
What is the common denominator of 3/200 and 188/550 + (-30)/(-120) - 1/2?
2200
Suppose -32*c + 490 = 17*c. Suppose 0 = -2*j + 10, -d + 5*j = 18 - 2. Let m = -6 + d. What is the least common multiple of m and c?
30
Let s = 8757 - 385343/44. Find the common denominator of s and 65/22.
44
Let y = 3/7499 + -367517/164978. Suppose 3*m - 4*h + 3052 + 1867 = 0, m - 4*h + 1629 = 0. Let u = m - -16401/10. Calculate the common denominator of y and u.
110
What is the common denominator of 43/24 and 40/864*2*-106 + 11?
216
Let s = 733571/7 + -105647. Let v = s - -2728799/3206. Calculate the common denominator of v and 37/5.
2290
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