563/2000. What is the common denominator of f and r?
32
Calculate the common denominator of 39/121 and (-1 - 121/(-129))*(-414)/253.
5203
Let y(d) = 4*d**2 - 15*d + 5. Let s be y(4). What is the common denominator of 6/(s/57 + -1) and -73/12?
24
Let t(d) = 167*d + 2344. What is the smallest common multiple of 1398 and t(-14)?
1398
Let a be (78/932)/((-3)/18*-3). Let v = 33553/1398 - a. Let y = -31877/10 + 3194. Calculate the common denominator of v and y.
30
Let p = -887513/56649 + 4/18883. Suppose 2*u + 260 = 7*u. What is the common denominator of (-5)/3*u/30 and p?
9
Suppose -5*z + 82 + 152 = 2*c, -3*z + 118 = -2*c. What is the least common multiple of 4060 and z?
44660
Let b(f) = 0*f - 80 + 3*f - 4*f. Let z be b(0). Find the common denominator of 109/10 and 3/2 + 228/z.
20
What is the common denominator of -69/968 and ((-6)/(-198))/(-2 - -2 - 99/459)?
968
Let j(i) = 9*i**2 - 4*i - 65. Let f be j(11). Suppose 3*t - 196 = -a - t, 4*t - f = -5*a. What is the lowest common multiple of 12 and a?
588
Let t = -45970921181/4902 + 408413360/43. Let r = 119991 - t. Calculate the common denominator of 61/15 and r.
570
Let b = -2936419/33145 + 1421/1894. Let p = b - -603/7. Let v = 800279/60 + -13336. What is the common denominator of p and v?
60
Suppose -2*n - 1 + 1 = 0. Suppose -k + 2 + 1 = n. What is the common denominator of -46/3 and 4 - k/4*1?
12
Let d(t) = -2*t**2 - 7*t + 7. Let g be d(-4). Suppose g*u + 159 = 240. What is the least common multiple of 54 and u?
54
Let o be 10/(-4)*((-86)/10 + 7). Calculate the common denominator of 127/12 and 589/(-114)*o/(-8).
12
Let j(k) = k**2 + k - 2. Let t(d) = 62*d + 560. What is the smallest common multiple of t(-9) and j(6)?
40
Find the common denominator of -29/3663 and 22/4 - 989610/179820.
32967
Let s(y) = -2*y**2 + 56*y + 22. Calculate the lowest common multiple of s(0) and 17368.
191048
Let d be 3 - (-3 + 3 - -3). Let t = -19481/1612 + 2/1209. Calculate the common denominator of t and ((-996)/66)/(-6 - d).
132
Suppose y - 323 + 3690 = 5*d, -2*d - 13556 = 4*y. Let b = -30416/9 - y. Find the common denominator of (-4998)/(-315)*(-30)/(-24) and b.
18
Let m(y) = -70*y - 135. Let k be m(-12). Let u = -696 + k. Calculate the lowest common multiple of u and 113.
1017
Suppose 0 = -4*v + 3*s + 4170, 9 + 9 = 3*s. Calculate the least common multiple of v and 2.
2094
Let v = -6402 + 6422. Calculate the least common multiple of 12 and v.
60
Suppose 4*k = -4, 5*h + 5*k = 6*k + 161. What is the common denominator of -87/40 and 4/(h/(-6))*(-1068)/(-180)?
40
Find the common denominator of (27 - 32)*(-12)/(-333) and -4*(-1)/(-84)*-62.
777
Let m = 10 - -3. Suppose -9 = 2*p - m. What is the common denominator of -79/16 and (p/30)/((-22)/(-3993))?
80
Let l = 31770/529 - 122847803/2047230. Find the common denominator of l and -71/16.
30960
Let q = 17 - 8. Let j(c) = c + 15. Let m be j(-23). Let s = 19 - m. What is the least common multiple of s and q?
27
Let w = -9146/7 - -1313. Calculate the common denominator of w and -37/1012.
7084
Let y(k) = k**2 - 11*k + 2. Let p(q) = q + 1. Let h(i) = -2*p(i) + y(i). Calculate the common denominator of h(4) and 36/223.
223
Let w = -8313 + 8335. Calculate the smallest common multiple of w and 1986.
21846
Let b = -2001/2 + 975. Calculate the common denominator of b and 36/10 + -3 + 2 + (-666)/(-72) + -10.
20
Let d(o) = 2*o**3 + 4*o**2 - 2*o. Let t be d(-2). Calculate the common denominator of -37/4 and (t/(-10))/(88/214).
220
Let o(l) = l**3 + 52*l**2 + 132*l + 765. What is the smallest common multiple of 1000 and o(-49)?
3000
Let h be (-4)/4 + 3*(-3)/(-9). Let w = -6 - h. What is the common denominator of 97/2 + (w + 3 - -5) and -113/12?
12
Let q = 1/36422722269 + 859208849548872449/5390562895812. Let w = -159392 + q. Find the common denominator of w and -119/20.
740
Suppose 4*s - 2*l - 2026 = 0, -s - 27*l = -28*l - 509. Calculate the least common multiple of 288 and s.
2016
Let z(j) = -j**2 + 6*j + 12. Suppose 16 = s + 2*m, -3*s - 5*m - 64 = -7*s. Calculate the least common multiple of s and z(6).
48
Let j = 3820 + -3592. Calculate the least common multiple of j and 1368.
1368
Let i = -53343/16 - -3328. Find the common denominator of 47/328 and i.
656
Suppose i - 24 = -9 - 3. What is the smallest common multiple of 44 and i?
132
Let x = -776 - -782. Calculate the least common multiple of 60 and x.
60
Let a be (90/(-8))/((-9)/312 + 0). Let m = a + -380. Calculate the lowest common multiple of m and 90.
90
Let o = -82404357/544 - -302957/2. Find the common denominator of 97/144 and o.
4896
Let p = 382 - 260. What is the lowest common multiple of p and -2 + -6 + 12 + (-10)/(-2)?
1098
Let m = 1422215/38 + -37424. Let d be (-1505)/(-63) + (-1)/(-9). Find the common denominator of m and 327/d + -4 + 3.
152
Find the common denominator of 518/(-126)*3/20*8/(-132) and -59/25.
4950
Suppose 2*p + 2*a - 2 = 0, 4*a - 10 = -3*p - 2*p. Let j(w) = -w**2 - 25*w - 35. What is the smallest common multiple of j(-21) and p?
294
Let r(a) = -2*a**2 + 6*a + 136. What is the lowest common multiple of 2128 and r(9)?
2128
Let b = -10359/10 - -3501717/3380. Find the common denominator of b and -43/4.
676
Let a = -3459621/170 + 20351. Calculate the common denominator of -129/170 and a.
170
Find the common denominator of 496/(-4224)*72/(-8) and 27/319.
2552
What is the common denominator of (210/1715)/((-48)/399) and 163/126?
504
Let w = -28699/12 - -2403. What is the common denominator of w and 65/1988?
5964
Suppose 0 = 2*s + 4*s - 51168. Suppose 2*u - s = 4*u. Let o = -85239/20 - u. Find the common denominator of o and -67/46.
460
Calculate the common denominator of -2 + 0 + 33/55 + (-262)/(-1080) and -51/436.
11772
Let y = 10710 - 353464/33. Let w(a) = a**2 + 18*a - 61. Let b be w(-22). What is the common denominator of y and -5 - (42/b + -7)?
99
Let z = 83877 - 33802406/403. What is the common denominator of (-6 - 9) + 3 - (-459)/(-102) and z?
806
Let z = -32919/16 - -2056. Calculate the common denominator of z and 19/84.
336
Calculate the common denominator of 56/6747 and (-1)/12 + (-406)/580*(-93)/18.
33735
Suppose 3*h - 28 = o - 9, 2*h = -3*o + 9. Suppose 169 = 2*a - p + h*p, -3*a = 3*p - 231. What is the smallest common multiple of 28 and a?
504
Let x = 2584/27 + -23291/216. Let a be 2/2*(1 - -3). Find the common denominator of (-38)/(-6) + (-2)/a and x.
24
Suppose -5*m + 4*c = -10*m - 405, -440 = 5*m - 3*c. Let b = m + 119. Calculate the lowest common multiple of 8 and b.
136
Let f = 6949 - 6129. Calculate the least common multiple of f and 2460.
2460
Suppose 148 = -62*q + 62 + 582. What is the smallest common multiple of 444 and q?
888
Find the common denominator of 83/42 and (9640/1296 + -7)/(8 + -27).
21546
What is the common denominator of ((-4)/24)/((-1120)/(-4984)) and 38/135?
1080
Let z = 4/87 + -9641/14790. Find the common denominator of 129/170 and z.
170
Suppose 0 = -p - 9, 0 = 3*t - 1519*p + 1517*p - 36. What is the least common multiple of t and 3804?
3804
Calculate the least common multiple of (25 + 352)/((-1)/(-2)) and 2.
754
Suppose -6*w + w + 152 = 2*c, 4*w = 2*c + 118. Suppose -12 = 3*h, w*l - 33*l = 5*h - 340. What is the smallest common multiple of 33 and l?
1320
Let r be 158/12 - 1/6. Suppose 8*p = g + r*p - 47, 0 = -4*g - p + 93. What is the least common multiple of 12 and g?
132
Let y(q) = -q**2 + 21*q - 43. Let k be y(19). Suppose -5*d - 2*p - 1 = -31, 12 = 2*d + p. Find the common denominator of -2 + k/(160/d) and 85/2.
16
Let h = 156/211 - -979/12660. What is the common denominator of h and ((-10)/240)/((-4)/266)?
240
Let p(h) = 17 - 3 + 15 + 7*h + 48*h. Let k be p(-2). Let x = k - -153. Calculate the lowest common multiple of 2 and x.
72
Suppose -297*l = -294*l - 9. Suppose 5*m - 3*r = 243, -2*m - 8*r = -l*r - 91. Calculate the lowest common multiple of m and 64.
192
Let h = -4759321/90 + 52882. What is the common denominator of -89/1125 and h?
2250
Let s = -1717930/141 - -12184. What is the common denominator of -25/9 and s?
423
Let o(j) = 9*j**3 + 45*j**2 + 2. Let l be o(-5). Suppose l*n + 28*n - 720 = 0. What is the least common multiple of 148 and n?
888
Let c = 2/175 + 311/350. Let m = -60/12619 - -1042059/4189508. Calculate the common denominator of c and m.
1660
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