88746/11448. Let o = 1/477 - t. Calculate the common denominator of o and 89/214.
428
Let m(t) = -43*t + 17. Suppose -2*p = -d - 3, -5*d = -4*d - p + 2. What is the lowest common multiple of m(d) and 25?
300
Suppose 173 = i + 3*z, -3*i - 106*z = -109*z - 483. Calculate the lowest common multiple of 36 and i.
1476
Calculate the common denominator of -2*81*(203/(-2128))/29 and -47/20.
760
Let x = -200443/28 + 7157. Suppose -2*o + v = 15, -v - 14 = 4*o + 7. What is the common denominator of o + (-462)/(-63) - 73/(-6) and x?
28
Let o = -381665/441 - -7790/9. Find the common denominator of 4/(112/(-3))*2 and o.
98
What is the least common multiple of 104 and -4 - (165/(-10))/(-11)*-72?
104
What is the least common multiple of (192/80)/((-21)/(-8680)) and 2480?
4960
Let d = -631 + 536. What is the common denominator of ((-415)/20)/(d/(-10)) and 51/20?
380
Let h = 43865 + -43557. Calculate the smallest common multiple of h and 98.
2156
Let f = -2/7 - -86/105. What is the common denominator of f and (1 + (-242)/240)*(-36140)/104?
240
Calculate the smallest common multiple of 364 and (126/4)/21*(-260)/(-6).
1820
Calculate the lowest common multiple of (74 - 78)*(-1 + (-9 - 1)) and 188.
2068
Let a = 189685/24 - 7898. Suppose -3*h = -4*w + 205, -3*h - 49 = -w - 0*h. What is the common denominator of ((-2)/(-14))/(6/w) and a?
168
Let r be 40/(-16)*(-44)/10. Find the common denominator of (r/(-130))/((-15)/10) and -35/9.
585
Let w = -23764 + 23767. What is the least common multiple of 407 and w?
1221
Let j be (355/15)/1 - 1/(-3). Let t be 12796/j + -4 + 3. Let r = 521 - t. Calculate the common denominator of r and -13/18.
18
Let k = 94094 + -12044131/128. Let f = 407129/60570 - -2/3365. Calculate the common denominator of f and k.
1152
Let i be 4 + (-12)/(-9)*-3. Suppose 2*j - 7 = f, -3*j + 3 = -4*f - i. Suppose -j - 11 = -2*o. What is the lowest common multiple of 6 and o?
24
Let m = -1073 - -1113. What is the smallest common multiple of 160 and m?
160
Suppose 0 = 19*k + 89*k - 280584. What is the lowest common multiple of 27 and k?
23382
Suppose -l + 81 = -4*a, 4*l - 4*a + 0*a = 288. Let x = l + -68. Let d = 8 + x. Calculate the least common multiple of d and 15.
45
What is the least common multiple of (-2 - ((-161)/23 - (-3 + -1)))*30 and 72?
360
Let r = 133483 + -44449883/333. Find the common denominator of 2 + -9 + (-1 - -6) - 122/(-24) and r.
1332
Suppose -5*f = 5*c - 57 - 98, -2*f - 10 = 0. Let y = 122 + -106. What is the lowest common multiple of c and y?
144
Suppose -89*w = -96*w + 189. Suppose k + 4*v - 42 = 0, -k + 4 + 29 = v. Calculate the lowest common multiple of k and w.
270
Let f = -1300031 - -6193347631/4764. Calculate the common denominator of f and -1/4.
4764
Let x = -9449/23 - -19966036/48599. Calculate the common denominator of -36/11 and x.
23243
Let r = -3141 + 3149. What is the smallest common multiple of r and 2032?
2032
Let h = 6 + -6. Find the common denominator of ((-10)/(-24)*(-54)/100)/(42/(-72)) and (5/(-18))/(1 - h).
630
Find the common denominator of ((-123)/(-2460))/(341/1332 + (-6)/27) and -68/14055.
70275
Let x = -45 + 57. Calculate the smallest common multiple of ((-24)/10)/((-10)/(48 + 2)) and x.
12
Suppose z + 170 = u - 7, 3*z = 6. Let p = u - 173. Suppose -2*y - 3*v = -13 - 0, -4*v = 5*y - 43. What is the least common multiple of p and y?
66
Suppose 0 = m - 145 - 5. Let j = 153 - m. What is the smallest common multiple of j and 30?
30
Let w = -263/4 - -41. Let i be 0 + ((-1897)/28 - 2/8). Find the common denominator of w and i/66*54/24.
44
Let r = -119 - -30. Let x = r + 92. Suppose -x*a = 3*h + 3, 5*a = 5*h - 0*a - 35. Calculate the smallest common multiple of h and 7.
21
Suppose 5*j = -5*l + 560, l - 397 - 147 = -5*j. Calculate the common denominator of ((-34)/j)/(1/21) and ((-1085)/174 - 1) + (-7156)/(-103762).
18
Suppose -2*p - 3*p = 0. Suppose 5*c - 165 = 3*r, 3*c + p*r = -4*r + 70. Let s = -8092 + 8119. What is the least common multiple of c and s?
270
Let m = -1415023372590774213/65377154456180 + 4/80513737015. Let u = m + 21644. Find the common denominator of -139/18 and u.
7308
Suppose -280 = -4*l + 4*y, 0*y - 5*y + 210 = 3*l. Suppose 2*u = f + l, 3*u + 108 = -2*f - 4. Let c = f + 66. What is the smallest common multiple of c and 14?
28
Let p(c) = -2*c**3 - 79*c**2 + 120*c - 96. What is the lowest common multiple of p(-41) and 342?
1026
What is the common denominator of (-105)/(-2)*(-1131)/(-1264081) and 16/7?
6706
Suppose -g - 3*i + 14 = 0, 200*g - 202*g + 10 = -3*i. Let a(s) = -s**2 - 12*s + 2. What is the smallest common multiple of g and a(-6)?
152
Let c be 6/1*5/(-30)*-10. Suppose 12*t - c*t + 50 = 0. What is the smallest common multiple of t/((-10)/(-2)) + 37 and 32?
32
Let l = -282215342/1739 - -162286. Calculate the common denominator of 103/148 and l.
6956
Let k = 629 + -633. What is the common denominator of ((-31)/(-132) - (-1)/k)/(-1) and 149/66?
66
Suppose -73*j + 70*j - 405 = 0. Let z = j + 144. Calculate the least common multiple of z and (-1 - -4)/(5 + -4).
9
Let p(n) = 2*n**2 + 4*n + 11. Let q = -3745 + 3753. Calculate the lowest common multiple of p(-8) and q.
856
Let a be 153/(-34)*4/6. Let j(i) = i**2 - 12*i - 12. What is the smallest common multiple of 16/a*(-5)/(-10)*-3 and j(13)?
8
Let s(z) = 27 - 51 - z + 46. Let j be s(13). What is the common denominator of 61/5 and (-591)/(-378) + 2/j?
70
What is the common denominator of 14/265 and (18017/(-774) + (-4)/18)*1/85?
9010
Suppose 10*c = 4*c - 78246. Let y = c - -391193/30. Find the common denominator of y and -151/60.
60
What is the common denominator of 28/505 and (-9684)/(-42420) - (-8 - (-287)/35)?
3535
Let k(i) = 2*i**3 - 18*i**2 - 32*i + 303. Calculate the smallest common multiple of k(9) and 417.
2085
Let w = 3193 + -3158. What is the lowest common multiple of 756 and w?
3780
Calculate the common denominator of -71/98 and (-16)/136*(-66)/(-84).
1666
Suppose -90 = 7*z - 13*z. Suppose 5*m - 757 - 1368 = -c, -3*c - z = 0. What is the lowest common multiple of m and 6?
426
Let x(s) = s**2 + 15*s + 43. Let l be x(-13). Let d = -185/21 - -239/7. Find the common denominator of d and 180/150*(-15)/l.
51
Suppose -3*s = 5*v - 15000, -2*v + 20000 = -17*s + 21*s. What is the smallest common multiple of s and 125?
5000
Let n = 16151 + -16138. What is the smallest common multiple of n and 3?
39
Let k(g) = -2*g**3 - 16*g**2 - 17*g + 2. Let i be k(-7). Suppose -i*x + 22*x = 1, -4*w = 2*x - 86. Calculate the lowest common multiple of 20 and w.
220
Let k be 0 + 4 + (-40548)/22. Let b = k - -1784. Let j = b + 3007/44. What is the common denominator of j and -73/2?
4
Let y = 2889679/121 + -23882. Calculate the common denominator of -8/1881 and y.
20691
Let b = -309650 - -1309509858/4229. Let h = b - -265723/372152. Find the common denominator of h and -64/33.
264
Let w = 83677 - 15061823/180. Let t = 877/8 - 1079/8. What is the common denominator of t and w?
180
Suppose 16*u - 140 = 324. Suppose -3168 = -7*y - u*y. Calculate the smallest common multiple of 2 and y.
88
Let h(m) = 4*m - 30. Let i be h(6). Let s be (-4)/i - (-9)/((-135)/(-20)). Calculate the common denominator of ((-1)/s)/((-143)/(-494)) and -39/16.
176
Let s(l) = -6*l + 39. Let u(d) = -2*d**2 - 19*d + 16. Let v be u(-10). Calculate the smallest common multiple of s(v) and 3.
3
Let y = -172545/8 - -52626031/2440. Calculate the common denominator of -97/2440 and y.
2440
What is the smallest common multiple of -2 + (-42)/(-27) - (-32950)/225 and 72?
5256
Let o(f) = -f**3 + 7*f**2 - 14*f + 7. Let t be o(2). Calculate the common denominator of t/(88/(-164)) + 3 and 47/214.
2354
Let u = -419905 - -1171115071/2789. Let b = u - -105509/948260. What is the common denominator of b and 15/14?
2380
Suppose 0 = 8*q - 2232 + 7576. Calculate the common denominator of (25/1500)/((-2)/q) and 55/27.
270
Suppose -68*o = 33*o + 51*o - 32832. What is the lowest common multiple of o and 64?
1728
Let b = -17571/4279 - -6/389. Find the common denominator of b and 8/(-28)*41/(-3).
231
Suppose -3*z + 38 = -4*q, 4*z - 3*q - 46 = 14. What is the least common multiple of z and (-106)/159*621/(-6)?
414
Suppose u + 2*u = 165. Suppose 2328108 = 9*n + 2327883. What is the lowest common multiple of n and u?
275
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