8. Let i = o + f. What is the lowest common multiple of i and 4?
128
Let f = 854 + -844. Suppose 3*j - 2*w - 44 = 0, -f*j + 7*j - 2*w + 28 = 0. Suppose 3*k - l = 25, 2*k - k = 2*l. What is the least common multiple of j and k?
60
Suppose 2*x = s + 51761, 5*x + 10019*s - 10014*s = 129380. Calculate the lowest common multiple of 3 and x.
77637
Let s(z) = z**3 - 9*z**2 + 5*z - 5. Let m be s(9). Let p be 127/m - (-12)/(-32). Let d = p + 73/90. What is the common denominator of 35/8 and d?
72
Let l(x) = x**2 - 11*x + 57. Suppose 573 = 18*w + 33. What is the least common multiple of w and l(6)?
270
Let m = 476 - 6717/14. Suppose 0 = -8*a - 63 - 1. What is the common denominator of (-2)/3*3*(-1)/a and m?
28
Let g = -583000013/411 - -79509683459299/56052180. Let f = -2/102285 - g. What is the common denominator of 0 + ((-502)/60 - -3) and f?
180
Suppose -4*i - 12 = 2*s - 2, -15 = 2*i + 3*s. Suppose -4*m - 3*q = -i*m - 111, -2 = -2*q. What is the smallest common multiple of m and 3?
27
Let s = 3069 - 3096. Let y = -1060346/582465 - 1/14935. What is the common denominator of s and y?
39
Suppose -3*l + 318 = 249. Calculate the least common multiple of 369/54 - 2/(-12) and l.
161
Let g(l) = 4*l - 14. Suppose 72 + 348 = 21*d. Calculate the least common multiple of g(5) and d.
60
Suppose 3*m - 2474 + 68 = -2*l, -5*l - 2*m + 6059 = 0. What is the lowest common multiple of l and 2295?
20655
Let a(q) = -q**2 - q + 4. Suppose -2*c + 3*o = 22, c - 2*c - 4*o = 22. Let i be c/21 - 4/(-6). What is the lowest common multiple of 2 and a(i)?
4
Let d be 3 - ((-51378)/(-51381) + 2). Let t = -32438531/119889 - d. Let n = t + 22105/84. Calculate the common denominator of -109/22 and n.
132
Suppose -b + 173 = 4*w, 9*w - 8*w = 3*b + 53. What is the least common multiple of w and 198?
396
Suppose -t = -3*m + 290, 11*t = 9*t + 8. Let i = m + -68. What is the smallest common multiple of 114 and i?
570
Let y(x) = -12*x + 46. Calculate the lowest common multiple of (-41)/(-5) - (-9)/(-45) and y(0).
184
What is the common denominator of -113/6 and (-380)/65 + 6 - (-697)/(-1404)?
108
Let w(s) = -s - 15. Let t be w(-9). Let f(n) = -n + 15. Let y(b) = b**3 - b + 39. What is the least common multiple of y(0) and f(t)?
273
Find the common denominator of 119/690 and (-4)/((-38640)/(-1234)) - 1/((-35)/10).
690
Let v = 2751/944 + 47/118. Calculate the common denominator of v and (-4)/(-22)*(-1305)/(-240).
176
Suppose 7*x - 2*o = 5*x - 30, -2*x - 18 = 2*o. Calculate the least common multiple of (-3*(-88)/x)/(24/(-36)) and 345.
3795
Suppose -674 = 7*g - 695. Calculate the common denominator of 107/10 and (g/(-90))/(((-8)/185)/(-2)).
120
Let l = 256 + -252. What is the common denominator of 4823/(-624)*l/(-14) and -55/18?
72
Let n be (-13*2)/(28025452/2547548 + -11). Let r = n + 27325. What is the common denominator of r and 43/9?
909
Calculate the common denominator of 17/3198 and (-5 - -31)/104 + 233/(-1148).
22386
Suppose -6600 - 455796 = 1633*z - 1571*z. Let y = 61/886010 + -178350270607/23922270. Let b = z - y. Find the common denominator of -17/12 and b.
108
What is the common denominator of 3 + -2 + 2 - ((-112285)/(-2340))/17 and 27/148?
17316
Let c = -6714177157/36 - -186519953. Let h(j) = -5015*j - 16. Let w be h(-3). Let r = w - c. What is the common denominator of 61/24 and r?
72
Let w = -691229306 + 51152206309/74. Let b = w - 16726. What is the common denominator of 11/10 + (-16 - -20) and b?
370
Let r(c) = 6*c + 21. Let x(v) = 2*v + 5. Let i be x(-3). Let u(q) = 1. Let o(p) = i*r(p) - u(p). Calculate the least common multiple of 2 and o(-7).
20
Let x = -5322189/4 - -1347079. Let q = 623227/36 - x. Let u = -786 + q. What is the common denominator of u and 53/15?
45
Suppose -3*x - 3*a + 405 = 0, 4*x - 5*a = x + 389. Let o = 164 - x. Suppose 3 = -3*l + 4*n, l = 4*n - 8 - 1. What is the lowest common multiple of l and o?
93
Let x be -1 + (-2080)/39*6/(-2). Let p = 176 - x. Calculate the smallest common multiple of 5 and p.
85
Let v be ((-6)/(-4))/(81/26136). Let f = 499 - v. Suppose -r + 4 = w, -2*w - r + 5*r = -14. What is the lowest common multiple of f and w?
15
Let r be (-2)/(-10) + (-145)/(-25). Suppose 695*y - 690*y - 80 = 0. Calculate the smallest common multiple of y and 235/15 - (-2)/r.
16
Suppose -18*v - 864 + 2538 = 0. Suppose v*u - 96*u + 546 = 0. What is the least common multiple of u and 22?
2002
Let o(y) = 11*y**2 + 8*y - 37. Let u be o(5). Let f = -179 + u. Calculate the lowest common multiple of 88 and f.
792
Suppose a = 2*s - 34838, 139404 = -4*a + s - 6*s. Let r = -1045267/30 - a. Find the common denominator of r and (-1 + 31/(-6))/(5 + -7).
60
Let z be ((-1016)/(8 - 4))/(-1 + 3). Let y = 69 - z. Calculate the lowest common multiple of 14 and y.
196
Find the common denominator of 47/7 and (-5)/(-3) - (-5684)/(-3330).
11655
Suppose 9*p + 1297 = -971. Calculate the common denominator of 4 - 12 - 1623/p and -41/20.
420
Let p be (-34136151973)/588 - ((-5)/(-4) + -1). Let z = p - -58041066. Let c = z - -13617. Find the common denominator of c and -20/27.
189
Let m(j) = -168*j - 133. Calculate the lowest common multiple of 530 and m(-3).
3710
Suppose 0*h - 13*h = -5664 - 342. What is the least common multiple of 4851 and h?
9702
Let g = 5244 - 2489. What is the lowest common multiple of 232 and g?
22040
Let o(q) = q + 8. Let u = -143 - -146. What is the lowest common multiple of 52/26 - u/(3/(-10)) and o(0)?
24
Let r be 1/2 - (-129535)/28. Let d = 4649 - r. What is the common denominator of (1351/(-280) - -8) + 19/95 and d?
8
What is the smallest common multiple of ((-138)/(-322))/((-8)/(-16632)) and 81?
891
Let l = -458/65 - -11337/1430. What is the common denominator of -107/96 and l?
5280
Suppose -44 + 30 = j - 89. What is the smallest common multiple of 33 and j?
825
Suppose 42*b = -6*b + 5*b. Calculate the smallest common multiple of 14 and b + (-3)/(-18) + (-4070)/(-60).
476
Let f(w) = -2*w + 4*w + 0 + 7. Calculate the lowest common multiple of 46 and f(1).
414
Calculate the common denominator of (32/28)/((-72)/(-126)) - (-3634)/(-1736) and -87/124.
868
Let t = 316386 + -231594409/732. What is the common denominator of t and -43/366?
732
Suppose 2500 = 5*a + 5*i, -21*a + 3*i + 1470 = -18*a. Calculate the least common multiple of 36 and a.
1980
Let f = -11833 - -11835. Let y = 0 + 1. Suppose 5*a = 29 + y. What is the lowest common multiple of f and a?
6
Let j = 61903497/50102 + -32125/26. Find the common denominator of j and -27/410.
19270
Let g = -81151/134 + 1211/2. What is the common denominator of g and -38/43?
2881
Let j(q) = 2*q - 40. Let f be j(44). What is the lowest common multiple of (((-180)/(-8))/(-3))/((-6)/f) and 66?
660
Let u(p) = 330*p - 346. What is the least common multiple of 2 and u(11)?
3284
What is the common denominator of (-3 - 0) + (-6 - 70710/(-7760)) and -43/97?
776
Let q = 32164 + -30478. Calculate the lowest common multiple of 2810 and q.
8430
Suppose -52*s = 5*c - 48*s - 892, 3*s = -c + 174. Calculate the lowest common multiple of c and 156.
2340
Let m = -5253 + 3165. What is the common denominator of m/135 - (-9)/5 and 68/27?
27
Let i be (1/53)/((-2)/36). Let u = i - 5983/954. Let o = -5636 + 56439/10. Find the common denominator of o and u.
90
Let d = 10/29 - -1439/116. Let u = 830/583 + -8968644/6300481. Let f = 464685/86456 + u. What is the common denominator of d and f?
8
Calculate the common denominator of 3 - (-584)/30*4/(-32) and 224/(-720) - (-1 + -1 + 3).
90
Suppose 4*i - 3*u - 1215 = 0, -5*i + u = -i - 1205. Suppose -n + i = 5*k - 4*n, 3*n + 60 = k. Calculate the smallest common multiple of 20 and k.
60
Let v(g) = 7*g**2 + 4*g - 3. Calculate the lowest common multiple of (-88467)/(-1594) - 9/6 and v(3).
216
Suppose 2*d - 30 = 2*t - 0*t, -5*d = 2*t - 89. What is the smallest common multiple of 30/12*(3 - d/(-5)) and 24?
48
Let t(d) = -48*d + 3330. Calculate the least common multiple of 104 and t(58).
2184
Let g be 1*(-93510)/24*-4. Let j = g + -186913/12. Calculate the common denominator of -49/12 and j.
12
Let n = 36007661/416 - 86557. What is the common denominator of -29/91 and n?
2912
Let g(b) = 2*b**3 - 3*b**2 + b - 1. Let y = -52 + 57. Calculate the lowest common multiple of g(2) and (96/(-30))/((-2)/y).
40
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