m + 6. Let u be g(3). What is the common denominator of 6/12 + (-376)/u and -49/3?
21
Let w = -36463/2 + 18886. Let i = 625 - w. Calculate the common denominator of -19/16 and i.
16
Suppose 3*w - s - 9 = 0, 12*s = -w + 8*s + 3. What is the common denominator of (-55)/(-100)*-2 + w and 67/70?
70
Find the common denominator of (40/(-41400))/((-6)/(-1905)) and 52/621.
1242
Let p be -12*(-6*2)/(-3). Calculate the smallest common multiple of (p/28)/(2/(-35)) and 6.
30
Let s = -4727/5 - -444371/470. Calculate the common denominator of 11/470 and s.
470
Calculate the common denominator of (-1971)/18*(-4)/(-1260)*5 and 53/66.
462
Let r(i) = i**3 - 6*i**2 + 4*i. Let n(g) = g**2 + 4*g - 219. Calculate the smallest common multiple of n(-17) and r(6).
24
Suppose 3*b + 9*u - 7*u = 77, 3*b = 4*u + 89. What is the lowest common multiple of b and 75?
675
Let k(x) = -x - 4. Let q be k(14). Suppose -10*m + 82 + 18 = 0. What is the lowest common multiple of m and (1 - 6) + (-1530)/q?
80
Let z = -2165 - -32438/15. Calculate the common denominator of 109/340 and z.
1020
Let h = -143381/120 - -5954/5. What is the common denominator of -53/1959 and h?
15672
What is the lowest common multiple of 4992 and 111635/581 + (-1)/7?
4992
Suppose -84 = 2*k - 221 - 325. What is the smallest common multiple of k and 2002?
6006
Suppose 2898 = 5*x - 44*v + 41*v, -v = x - 586. Let w = -1259/2 + x. What is the common denominator of w and 2/5?
10
Let b = 55371/8 + -6919. What is the common denominator of 149/48 and b?
48
Let k = -7 + 11. Suppose 0 = -3*m - k + 22. Suppose 0 = 4*w - m + 2. What is the smallest common multiple of 6 and w?
6
Let v = 10/11239 - 357589/10317402. Find the common denominator of v and -11/1071.
6426
Find the common denominator of (-56)/(-18) + 2/(1*(-3)/6) and -113/1374.
4122
Let i = -40627450/9 - -162337541/36. Let y = i - -4783. Find the common denominator of -19/18 and y.
36
Let c = 3445 + -103483/30. Let p = 2/1461 + 5341/11688. What is the common denominator of p and c?
120
Suppose -5*k = 0, u + k - 215 - 950 = 0. Find the common denominator of (-12)/(-21) + u/840 and -5/8.
24
Suppose 0 = k - 6*k - 5*p + 595, 0 = 2*p + 4. What is the smallest common multiple of 473 and k?
5203
What is the common denominator of 4*(-9)/234 - (-9)/1365 and 67/84?
5460
Suppose -2*k - 5*x + 3*x + 18 = 0, 0 = 4*k - x - 56. Suppose 16 = -11*w + k*w. What is the least common multiple of 10 and -2 + 0 + w/2 + 0?
10
Suppose -6 = 2*i, -238*i = -5*a - 233*i + 5730. Let d be 1 - 1 - (-61701)/54. Let n = a - d. What is the common denominator of n and 31/22?
198
Suppose 13*o = -25*o - 260 + 3452. What is the lowest common multiple of 140 and o?
420
Let c be ((-10)/180)/(1 + 289062/(-289059)). Let b = c + -5350. What is the common denominator of b and 47/6?
18
Let u = -1325/9 + 146. Calculate the common denominator of u and ((-4)/1842)/(77 + (-236480)/3072).
2763
Let y be (2/(-4))/((-10)/20). Let v(z) = 11*z**3 + 3*z**2 - 3*z. What is the least common multiple of v(y) and 3?
33
Suppose x - 4*d = 3 + 12, 5*x - 75 = 2*d. Suppose -x*u = -12*u - 12. What is the lowest common multiple of u and (-42)/(-4) + (-1)/(-2)?
44
Let f = 48375 - 59791441/1236. Calculate the common denominator of f and -13/3.
1236
Calculate the common denominator of (-885)/(-456)*48/60*(-6)/132 and 93/304.
3344
Calculate the common denominator of -49/655 and ((-139)/(-1529))/((-10)/74).
7205
What is the common denominator of -87/16 and (9 - (14 + -8))/2068?
8272
Let m = 1 - 7. Let r be ((-465)/(-124))/((-1)/24). What is the common denominator of 1065/r - (-2)/m and 73/8?
24
Calculate the least common multiple of -102*6/12*(-11)/((-297)/(-18)) and 290.
4930
Let s be (-24)/(-10) + 4/(-10). Let l be ((-20)/35)/(-1) - 19*(-2)/7. Suppose -3*y + s*y = -l. What is the least common multiple of 14 and y?
42
Suppose 2*v + 3 = 5*v. Let f(z) = 29*z**3 + 2*z**2 + z - 2. Suppose 0 = 2*x + 33 - 45. Calculate the smallest common multiple of f(v) and x.
30
Let z = 4150859/65 - 63860. What is the common denominator of z and 0 + (-651)/(-234) + -1?
390
Let a = 564 + -557. Let p(t) = 12*t + 173. What is the smallest common multiple of p(-12) and a?
203
Find the common denominator of (21/(-144))/((1085/(-231))/(-31)) and -47/160.
160
Let f = -12/22441 + -1766263/12297668. What is the common denominator of f and -61/28?
3836
Let s = 31 + -71. Calculate the smallest common multiple of (-1285)/s + 3/(-24) and 64.
64
Let h be (43041*-3*8/36)/(-2). Let i = 1291279/90 - h. Find the common denominator of i and 83/54.
270
What is the smallest common multiple of 32 and 94/10 - ((-213)/(-1775))/((-6)/(-20))?
288
Calculate the least common multiple of 405 and 36*(3 + 86 - -1).
3240
Let x be 30/20*236/3. Let g = x - 109. Suppose -20 = l - 3*l - 2*p, -20 = -4*p. Calculate the lowest common multiple of g and l.
45
What is the common denominator of 115/14 and (-2100)/106600*(-54)/14?
7462
Suppose 0 = -40*k + 32*k + 5016. Let q = -621 + k. Calculate the smallest common multiple of q and 1.
6
Let p = 11446/21 - 547. Suppose 48 = 10*u - 6*u. Find the common denominator of (177/u)/(60/(-16)) and p.
105
Suppose 5*k - 272 = 2*w, 185*k - 188*k + 156 = -3*w. Calculate the least common multiple of k and 1932.
3864
Let k(x) = -5*x**2 - 6*x + 37. Let n(r) = 4*r**2 + 8*r - 37. Let q(j) = 5*k(j) + 6*n(j). Calculate the smallest common multiple of 24 and q(15).
24
Suppose -125*n + 114*n = -726. Calculate the lowest common multiple of 297 and n.
594
Suppose 15*p - 945 = -23*p + 3*p. What is the lowest common multiple of 1440 and p?
4320
Suppose 0 = -19*x + 47 - 237. Calculate the common denominator of ((-1)/x)/(152/1995) and -53/10.
80
Let u be (-78330770)/1736 + (5 - 2). Let q = u + 45119. Calculate the common denominator of -23/18 and q.
1116
Let z(c) = 6*c**2 + 6*c - 12. Let b be z(3). Let r = 62 - b. Suppose 0 = r*t - 4*m - 32, -m - 63 = -2*t - t. Calculate the least common multiple of 14 and t.
154
Let u = 186079/648 + -428/81. Let n = u + -276. Let y = 2396 - 43085/18. Find the common denominator of n and y.
72
Let v = -11544517/1442 - 327660/103. Let t = -15326 + 26519. Let o = v + t. What is the common denominator of 101/194 and o?
1358
Let c = 1309/1525 - 3087413/3708800. What is the common denominator of c and 23/2128?
17024
Let q(j) = 5*j**2 + 819*j - 9698. Calculate the lowest common multiple of q(12) and 2720.
13600
Calculate the common denominator of -119/80 and 10/(-800)*(-1177)/(-22).
160
Let c = 202 - 64. Calculate the least common multiple of c and 184.
552
Let y be (-1)/8*-6 - (-18)/8. Suppose -w + 44 = 5*o - 2*w, 3 = y*w. What is the smallest common multiple of 24 and o?
72
Let i = 482 - 326. Suppose d = -12*d + i. Suppose -3*a - 142 = -6*r + r, 0 = 4*a + 16. Calculate the smallest common multiple of r and d.
156
Let t be (-8 + 4)*-1*1. Suppose -f + 5*c = 5, -f - 2 = -t*f - 2*c. Suppose f = 3*o + 3 - 39. What is the lowest common multiple of 14 and o?
84
Suppose 0 = -t + 3*s + 549, 13*t - 2857 = 8*t - s. Calculate the smallest common multiple of 1254 and t.
6270
Let b = 736/19 - 219793/5700. Calculate the common denominator of 23/80 and b.
1200
Let r(c) = 4*c - 28. Let h = 139 + -43. Let b = 107 - h. Calculate the smallest common multiple of 28 and r(b).
112
Let z(h) = 35*h**3 + 4*h**2 - 13*h + 14. Let c be z(2). Suppose c*x + 11 = 295*x. Calculate the lowest common multiple of x and (-76)/(-10) + (-4)/(-10).
8
Suppose 2*i + 967242 = 3422178. Let g be (-1113094)/i - (-57)/38. Let a = 1/24068 - g. Find the common denominator of a and 85/16.
816
What is the lowest common multiple of 4 and -16*18/(-96) + 954?
3828
Suppose 0 = -9*l - 385 + 17089. Calculate the lowest common multiple of l and 1160.
9280
Let h = -276 - -68. What is the common denominator of 2/7 - 557/210 and ((-108)/972)/(-1 - h/213)?
30
Let t = -6463 + 8683. What is the lowest common multiple of t and 1110?
2220
Let v = -2341991 + 10913678127/4660. What is the common denominator of 83/8 and v?
9320
Let t = 3757 - 3727. Calculate the least common multiple of t and 36.
180
Let t = 21177 - 20672. Calculate the smallest common multiple of 909 and t.
4545
Let c(s) = s**3 - 2*s**2 - 2*s - 4. Let o be c(3). What is the least common multiple of -3*o/(3/14) and 190/(18 - 37) - 19*-4?
462
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