 h be 0 + 16671*(-2)/15. Let j = h - -2231. What is the common denominator of (45 + -2)/(-85 - -2) and j?
415
Let a = 2970368 + -683182463/230. Let y = a + -88/115. What is the common denominator of y and -46/55?
110
Suppose 2*b = -b + 45. Suppose -14 = s - 20. Let x(i) = 7*i - 15. What is the smallest common multiple of x(s) and b?
135
Let q be ((-5)/(-3) - 1)/(4/54). Suppose -6*s - q*s = -30. Suppose 28 + 2 = s*h. What is the least common multiple of h and 6?
30
Suppose t - 5312 = -4*t + 2*k, -2120 = -2*t + 2*k. Let s be 4/(-6)*(-764190)/(-480). Let h = t + s. What is the common denominator of 45/22 and h?
88
Let c be (20/(-322))/(2 - 1). Let y be ((-19)/18 - -1)*-4 - (-6208725)/(-825930). Let n = y + c. What is the common denominator of -17/14 and n?
14
Let m be 5 + (2 - 11) + 4. Suppose m = -0*l - l - 4*x - 15, 19 = 3*l - 4*x. What is the common denominator of 27/22 and l/(-1 + (-195)/(-207))?
44
Suppose 0*f + 3*f + 4*j + 1979 = 0, -j = f + 659. What is the common denominator of 6/16*1460/f and 47/1082?
3246
Let v be (687/(-9))/(2/(-3)). Let w = 122 - v. What is the common denominator of (2/(-9))/(2013/252 + -8) and w?
6
Let x be ((-72)/(-32))/((-3)/(-32)). Calculate the common denominator of 0 - (140/x + -2 - 4) and 28/6*18/(-240).
60
Suppose 18 = 3*t + 30. Suppose -6 = -i - 3. What is the smallest common multiple of i and (-5 - -14) + t + -2?
3
Let i = -48 + 64. Let d(o) = -o**3 + 5*o**2 + 12*o - 16. What is the lowest common multiple of i and d(6)?
80
Let z = 22/558043 - -372732544134/19531505. Let t = z + -19082. What is the common denominator of 19/49 and t?
245
Let r be 4/(-8443)*1688579/(-210). Let p = -21643250563/42215 + 512691. Let w = p + r. Find the common denominator of 28/15 and w.
105
What is the common denominator of (1711/(-261))/((-1)/(-3)) and 40/453?
453
Let p = -422675/1560882 - 28/7031. What is the common denominator of p and 149/18?
666
Let t = 809803/32610 + 2/5435. What is the common denominator of t and 29/291?
582
Let q = 16793/330 + -555/11. Let p = 126611/288 + -39622157/91872. Let a = p - 206/29. What is the common denominator of a and q?
330
Suppose -72 = 20*n + 108. What is the smallest common multiple of 14 - ((-2)/n - 20/9) and (4/(-6))/(5/(-105))?
112
Let y(a) = 0*a + a + 182 + 0*a - 191. Let l be y(-8). Calculate the common denominator of 20/3 and 3 - l/(-6) - (-545)/(-75).
30
Let a(m) = 3 + 3 - 6*m + 7*m + 1. Let v be a(-10). Calculate the lowest common multiple of 21 and 3 - (v/(-12) - (-3)/4).
42
Let q = -723414149/42835 + 12688/3295. Let c = 16792 + q. Let v = c - -8921/78. What is the common denominator of v and -57/4?
12
Suppose -k = -2*p + 5, -3*k - 6 - 1 = -4*p. Suppose -p*v - z = v + 219, 23 = -v + 5*z. Calculate the smallest common multiple of -1 + (v + 1)/(-2) and 22.
220
Suppose z = -4*n + 31, 0 = -5*n + 17*z - 18*z + 38. Suppose -7*j = n*j - 420. What is the lowest common multiple of j and 4?
60
Suppose 33660 = 23*x + 30762. What is the smallest common multiple of 288 and x?
2016
Suppose 7*b - c = 15, 4*c - 6 = -0*b - 5*b. Calculate the lowest common multiple of b and 62.
62
Suppose 8*x = 3*x + 65. Suppose -2*m - 2*t - 1 = -x, -2*t + 30 = 5*m. Suppose m*z = -31 + 67. What is the smallest common multiple of 18 and z?
18
Suppose 13*r + 227 - 760 = 0. Let k = -62 - -41. Let l = k + r. What is the lowest common multiple of 7 and l?
140
Let h = 8 - 0. Suppose q + 4105 = 5*x - 2*q, 5*x - 5*q - 4105 = 0. Let v = x - 793. Calculate the smallest common multiple of v and h.
56
Let w(b) = -2*b - 2. Let l be (-3)/(-4)*(0 - 4). Let f be (-4 - 2*l)*2/(-2). What is the lowest common multiple of 17 and w(f)?
34
Suppose 3*r - 138 = -0*r. Calculate the least common multiple of ((-8)/10 - (-26)/(-5))*10/(-10) and r.
138
Let u = 252385219/520 - 485356. What is the common denominator of -7/676 and u?
6760
Let x = -1291/3690 + 1/3690. Find the common denominator of (-6)/8*213/54 and x.
984
Suppose 4*p = -5*h - 4, h = 36 - 32. What is the least common multiple of 20 and 36 + -5 + p/1?
100
Let q be (-14)/(-56) + 48667/20. Suppose 35266 = 13*m + 3494. Let w = q - m. Calculate the common denominator of w and -21/20.
20
Suppose -1049*h + 1154*h = 40740. Calculate the smallest common multiple of h and 16.
1552
Suppose -36*n + 209 = -79. Calculate the lowest common multiple of n and 36.
72
Calculate the common denominator of ((-20)/8)/(725/(-1856)) and (5/(-384))/(4/(-30)).
1280
Let a = -3992 + 3993. What is the least common multiple of a and 128?
128
Suppose v + 3*v = 44. Suppose -z - v = -32. Suppose -690*m = -696*m + 162. Calculate the least common multiple of m and z.
189
Let v = 44180 + -7731427/175. Calculate the common denominator of 1/75 and v.
525
Suppose 2*j = -4*s + 64, 0 = -3*j - 2*s + 2939 - 2847. What is the least common multiple of 1290 and j?
1290
Suppose -s + 5 = 1, 2*u = -s + 674. Let a = 370 - u. What is the smallest common multiple of a and 49?
245
Let z be (-3535)/20 - 5/4. Calculate the lowest common multiple of -1 - 18/(-22) - z/11 and 24.
48
Find the common denominator of (-6050)/5940*(-33)/130 and 119/90.
2340
Let u = 382 - 376. Suppose 5*q + 4 = 4*h + 11, -u = 3*h - 4*q. Calculate the smallest common multiple of 10 and h.
10
Let d = -33067/14 + 2367. Calculate the common denominator of d and -61/19586.
19586
Let d = -20669 + 24101. What is the least common multiple of 624 and d?
6864
Let i = -33 - -68. What is the smallest common multiple of i and 20/10 + (-4)/(-2)?
140
Suppose -x + w + 24 = 4, 3*x - 4*w = 59. Suppose 0 = 53*l - 544 - 4279. What is the least common multiple of l and x?
273
Let u = -3 + 155. Suppose -13*s + 240 = -8*s. Let y = s + -28. What is the smallest common multiple of u and y?
760
Let k = 93 - 91. Suppose -k*x - 26 = -a, x - 32 + 143 = 4*a. Calculate the smallest common multiple of 20 and a.
140
Let v = 105 + -98. Calculate the least common multiple of (54 - 49) + 2*3 and v.
77
Let y = -269234 + 45231449/168. Find the common denominator of -155/168 and y.
168
Let v = 2/63689 + -9234941/1146402. Find the common denominator of v and 75/274.
2466
Let r = -1841 - -1847. Calculate the lowest common multiple of 60 and r.
60
Let g be (((-235209)/26)/3)/(6/5). Let d = g - -2504. Find the common denominator of d and -1 - 0 - 17/(-33).
132
Let m(s) = -74*s**3 + 8*s**2 + 119*s + 472. What is the smallest common multiple of m(-5) and 51?
158559
Suppose 83*w - 76*w = 91. Calculate the common denominator of -25/8 and (-27)/(-42)*(w/(-6) + 0).
56
Suppose -18*c = 153 - 585. Suppose -8 = s - 0. Let t = -2 - s. Calculate the lowest common multiple of c and t.
24
Suppose -3*y + 3 = -6. Suppose 5*n - 3*v = 4032, y*n - 2400 = -2*v - v. Calculate the least common multiple of 10 and n.
4020
Let q = -9670/3 - -3234. What is the common denominator of q and 103/108?
108
Let f = -9672 - -9673. Calculate the lowest common multiple of f and 85.
85
Suppose -3900 = -87*i + 9*i. Calculate the least common multiple of i and 450.
450
Let n = 328607042887/1350 + -243412638. Let k = 372/25 + n. Find the common denominator of k and -61/39.
702
Let h = 54296/329 + -165. Calculate the common denominator of h and -93/752.
5264
Let v = -24923/1279119 - -82/1941. Find the common denominator of v and 23/11.
7249
What is the lowest common multiple of 34 and 192 + 4 + 3 + -12?
374
Let p = 50 + -56. Let a(r) = -11*r + 42. Let t be a(p). Suppose -20*g + t = -17*g. Calculate the smallest common multiple of 40 and g.
360
Suppose 22 = -5*q - 4*u, 112*u = -5*q + 115*u + 34. Suppose 0 = -3*y + 24 + 6. Calculate the least common multiple of y and q.
10
Suppose -11*u - 14*u + 50 = 0. Let p = 104 - 20. What is the least common multiple of p and u?
84
Let s(w) be the first derivative of 2*w**2 - 27*w + 11. Let v be s(7). Calculate the common denominator of 10/3 and (-9)/(63/(-4)) - v.
21
Let p = -349/504 + -11/56. Let c = -3996 - -83932/21. What is the common denominator of c and p?
63
Let c be 4 - (-3 + (-34900)/(-4996)). Let d = 1226464/3747 + c. Let b = 306 - d. Calculate the common denominator of -7/2 and b.
6
Let s = -29356/3 - -1526561/156. Calculate the common denominator of ((-6)/(-5))/(-3) + (-30530)/(-1075) and s.
156
Suppose 3*y + 9*g - 156 = 11*g, -114 = -2*y - 2*g. Suppose -51*a = -48*a - y. What is the small