90)/57 - 18/(-2). Let r = -24200/513 - i. Find the common denominator of 47/21 and r.
189
Suppose 17 = 9*c - 1. Suppose 6*x - 3*x - c*d = 9, 5*x + 5*d = -10. Calculate the smallest common multiple of 174 and x.
174
Let p = 77 - 66. Suppose -p*h = -12*h - 64. Let n = -36 - h. Calculate the least common multiple of n and 40.
280
Suppose -3*v + 58 = 5*o, 4*v + 17 = -3*o + 54. Let r(k) = k**3 - 10*k**2 - 10*k - 3. Calculate the lowest common multiple of r(o) and 10.
40
Suppose 4*n - 4879 = -q, 4*q - 2*q + n - 9786 = 0. What is the common denominator of 933/(-126) - 1/(-3) and (-2)/(-10)*(-9)/(594/q)?
42
Let p = 74 - 70. Let b(a) = -a + 4. Let w be b(p). Suppose -8*z + 2*z + 120 = w. Calculate the least common multiple of 60 and z.
60
Suppose 6*n - 15638 = -15476. What is the smallest common multiple of 1680 and n?
15120
Suppose r + 2*r - 2*f - 11 = 0, 3*r + 13 = -4*f. Let u be -1*(2 - 2)*1/r. Suppose u = b - 26 + 11. Calculate the smallest common multiple of 12 and b.
60
Suppose 43745 = 49*c + 11405. What is the least common multiple of 16 and c?
2640
Calculate the common denominator of (11766/672)/53*(-1)/(-7) and 5/84.
2352
Let q be (63/(-21))/(3/(-17)). Suppose 27 = 11*r - q. Suppose 129 = 4*j + 5*d, -3*d = -r + 13. What is the least common multiple of 8 and j?
72
Let p = 2080547/90 - 23117. Find the common denominator of p and 37/225.
450
Let n = 622673/66 - 9436. Find the common denominator of 4/1581 and n.
34782
What is the common denominator of -43/364 and (2/(-4))/(-38 - 564/(-18))?
3640
What is the common denominator of 2/((-8)/(-183))*(-568)/852 and -18/49?
98
Suppose 0 = 4*n + y + 3 + 14, 0 = 5*n + 5*y + 40. Let k be n + (2/5 - 2/5). Find the common denominator of -3 - (0 + 6/k + -35) and 115/6.
6
Let f = -25668 - -25678. Calculate the lowest common multiple of 60 and f.
60
Suppose -5*a = o - 3, 2*o + 2*a - a - 24 = 0. Suppose 0 = -h + i + 4*i + o, -i + 19 = h. Calculate the least common multiple of h and 24.
72
Calculate the smallest common multiple of (-3)/((1 - 0)/(-22)) and 262/6 - (-9 + 9 + 1 + 48/(-36)).
132
Suppose 0 = -9*s + 2*s - 77. Let k be ((-1)/(-2))/((44/(-120))/s). Calculate the least common multiple of 114 and 1248/90 - (-2)/k.
798
Let d(m) = -47*m**2 + 97*m - 31. Let a(u) = -9*u**2 + 19*u - 6. Let c(r) = -11*a(r) + 2*d(r). What is the smallest common multiple of c(4) and 111?
888
Suppose 3*h - 1389 = -3*s, 4*s + 483 = 2*h - h. Let c = 515 - h. Calculate the least common multiple of c and 16.
48
What is the least common multiple of 97173/1947 + 2/22 and 74?
1850
Let g(p) = 329*p + 1032. What is the lowest common multiple of 374 and g(-2)?
374
What is the lowest common multiple of 300 and ((-1164)/60 + -19)/((-2)/25)?
2400
Let g(m) = 115*m**2 - 5*m + 1. Let f be g(6). Let j = 4667/541 - -31040539/7574. Let s = j - f. Calculate the common denominator of s and -45/8.
56
Calculate the least common multiple of 2/(-6) + 65/15 and (-22 + (-1352)/(-65))*(-40)/3.
16
Suppose -2*s + 22 - 12 = 0. Suppose -498 = s*p + 3*v, 0 = 5*p - 3*v + v + 493. Calculate the common denominator of 13/80 and (-90)/(-24)*p/(-75).
80
Let o = 121 - 298. Let v = 13 + -12. Calculate the common denominator of (o/(-18))/v*6/(-22) and -59/4.
44
Suppose 57*x + 151*x + 3594 = 235306. What is the smallest common multiple of 29 and x?
32306
Let y = -4 + 14. Let j = 292 - 199. What is the lowest common multiple of y and j?
930
Let i = -15 - -27. Let z(b) = b**2 - 11*b + 4. Calculate the lowest common multiple of z(i) and 1/(((-4)/4)/(-82)).
656
Suppose 21*g - 32 = 17*g. Let i = 109 - 58. Suppose -i*y = -55*y + 44. What is the least common multiple of g and y?
88
Suppose -p + 9 + 0 = 0. Suppose -3*t - 452 = -83. Let y = -113 - t. What is the lowest common multiple of p and y?
90
Suppose 15 = 19*i - 38*i + 167. What is the smallest common multiple of 40 and i?
40
Let z(m) = -m**3 + 17*m**2 - 15*m - 4. Let n be 8*(-1)/((3/(-6))/1). What is the lowest common multiple of z(n) and 138?
276
Let x(d) = d**3 - 14*d**2 + 14*d - 16. Let r be x(13). Suppose -5*n + 33 = 3*y + 4, 9 = y + n. What is the lowest common multiple of y + (0 - 0) + r and 3?
15
Let k = 14066100095/90551 + -4815546/31. Let t = -65/46 - k. Find the common denominator of t and -11/16.
2032
Suppose g - 3*w - 982 = 0, -w + 7259 = 5*g + 2365. What is the least common multiple of 979 and g?
979
Let d = -135 + 61. Let m be d*(2 + (-5)/2). Suppose 5*b - 3*y - m = 0, -5*b = y - 2*y - 39. What is the least common multiple of b and 34?
136
Let z = 258 + -141. Let y = -113 + z. What is the smallest common multiple of 2 and y?
4
Let j be (-1)/(-7) + (2520/98)/9. Suppose j*q = 3, -121 = 2*g - 7*g + 4*q. What is the smallest common multiple of g and 15?
75
Let d(v) = 5*v**3 - 48*v**2 - 19*v + 57. Calculate the lowest common multiple of 7 and d(10).
469
Calculate the common denominator of (-173532)/(-229824)*8 + (2 - 8) and 73/532.
4788
Calculate the common denominator of (-342)/(-120)*(-6 + 220/33) and -40/1133.
11330
Let o(y) = -y**3 + 3*y**2 + 5*y - 6. Let h be o(4). What is the common denominator of 10/h - (-2432)/96 and ((-183)/(-8))/(6/4)?
12
Suppose 54*f + 9551 + 1411 = 257*f. Calculate the smallest common multiple of 4356 and f.
13068
Let k = 70 + -75. Let c(z) = -z + 2 + z**2 - 9 + 11. Find the common denominator of -77/6 and c(k).
6
Suppose -4*j - 20 = 0, -5*j = 3*z - 0*z + 61. Let y be ((-22)/z - 1)*586610/(-200). Let b = -2445 - y. Calculate the common denominator of -85/21 and b.
168
Let w be (-4434)/(-10) + -1*(-3)/5. Suppose -w = -3*t - 72. Suppose 4*a + p = 235, 96 = 4*a - 4*p - t. What is the lowest common multiple of a and 4?
116
Let v = 374687/70348096 - 22/4277. What is the common denominator of v and -47/22?
180928
Suppose -7*d + 215 = 180. Suppose 21*v - 14*v = 406. Calculate the lowest common multiple of d and v.
290
Let k = -2138248237/8 + 267738119. Let q = 453763 - k. Let o = 3336 + q. What is the common denominator of o and 119/30?
120
Calculate the least common multiple of 441 and 1/(-2 - 5) + 496219/1687.
882
Let m = -356149/3 + 477951691/4026. Calculate the common denominator of -93/16 and m.
10736
Let k(g) = -g + 10. Let u be k(6). Suppose l = -3*l, -4*l + 64 = -u*d. Calculate the lowest common multiple of 18 and 2 - d/(-7) - 198/(-7).
252
Suppose -6120 = 31*k - 48*k. Suppose 176*x = 174*x + k. Calculate the least common multiple of 8 and x.
360
Suppose -26*b = -0*b - 1638. Suppose 6*q = 8*q - 20. What is the lowest common multiple of b and q?
630
Let c = 11607/2585 + 13/235. Let o = 1076 - 5423/5. Find the common denominator of c and o.
55
Suppose 5*c = -2*u + 821, 75 - 70 = 5*c. What is the least common multiple of u and 816?
816
What is the common denominator of 109/66 and (6/(-208))/(1884/(-24) + 20)?
22308
Let t = 237 - 95. Calculate the smallest common multiple of (19/(-3) + 2 + -1)*-3 and t.
1136
Let w = -59780 + 59786. Let x(z) = -z - 1. Let h be x(0). Calculate the smallest common multiple of w and 1*46 - 2*h.
48
Let b be -1*4/84*42461. Suppose -36*x + x = -70805. Let a = b + x. Find the common denominator of a and 125/24.
168
Suppose -2*b - p = -3133, -25 = 5*p - 0. Let o = b - 2280. What is the common denominator of ((-17)/(-20) + -1)*o/(-27) and 87/20?
20
Let r = 183 + -134. Find the common denominator of 48 and (r/(-356))/(39/(-156)).
89
Calculate the lowest common multiple of ((-5)/((-20)/18))/(-1 + (-117)/(-108)) and 66.
594
Let i = -2980/11 - -6052369/22341. Calculate the common denominator of 14/9 and i.
6093
Let m = 559 - 83. What is the common denominator of 59/20 and (7/(-14))/(m/116 + -4)?
60
Let n(g) = -24*g + 139. Let j be n(7). Find the common denominator of 26/9 and -14*j/24*170/(-119).
18
Let o = 1007689/13650 - 1350179297/10551450. Let w = o - 250/773. Let t = w + 7554/143. What is the common denominator of t and 29/5?
55
Suppose 0 = -5*h - 10, -k + 4*k + 3*h - 9 = 0. Calculate the least common multiple of k and 2430/540*6*-3*(-4)/54.
30
Suppose 216*k = 562098 + 441870. What is the least common multiple of k and 12?
13944
Let a be 2/6 - 77/(-3). Find the common denominator of (8 - 14)*-6*a/160 and 83/30.
60
Let s be (-1 - (-33596681490)/(-994))/(1364640/72). Let h = s + 2/1412971. Let m = h + 7111/4. Calculate the common denominator of -25/7 and m.
140
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