3/4.
44
Let k = -377723 - -326352779/864. Calculate the common denominator of 25/384 and k.
3456
Let b(x) = x**3 - 15*x**2 + 14*x + 2. Suppose -2*v = -5*v + 2*z + 68, -2*z + 10 = 0. What is the lowest common multiple of v and b(14)?
26
Let q be (-2 - (-3 - (2 + -5))) + 2. Calculate the common denominator of (28/32)/(1/(-2)) and 7*((4 - (2 - q)) + 3).
4
Let v = 7301 - 7162. Calculate the least common multiple of 834 and v.
834
Let j(q) = -q**3 + 15*q**2 + 15*q + 49. Let o be 4*5/20 - -15. Calculate the least common multiple of 90 and j(o).
990
Suppose -5*v + 36 = 3*x, -3*x + 2*x = -2*v + 21. Calculate the smallest common multiple of (2 + -1)/(v/36) and 1 - 3 - (-20 - 0).
36
Suppose -8*a - 2412 = -5*p - 4*a, 2*a + 2416 = 5*p. Calculate the smallest common multiple of 3/6 - (p/8)/(-11) and 176.
528
Let m = -296484 - -2068813/7. Let n = m - -934. What is the common denominator of 10/67 and n?
469
Let n be 2/(-4)*(3 - 3) - -596. Let y = n - 4815/8. Let j = -442 + 5281/12. Find the common denominator of y and j.
24
Let b = 3351 + -2469. Calculate the least common multiple of 72 and b.
3528
Suppose 428*h + 278*h - 1412 = 0. Suppose 4*b + 248 = 2*g, -b - 2*b = -9. What is the smallest common multiple of h and g?
130
Let l = 8387563/145 + -57845. Calculate the common denominator of l and 23/55.
1595
Let r(c) = c**2 - c - 5. Let u = -42836 + 42850. Calculate the smallest common multiple of u and r(4).
14
Let t(w) = -13*w - 33. Let v(d) = -5*d**2 + 86*d - 104. Calculate the least common multiple of v(14) and t(-6).
360
Let t = 29 - 278. Let q = t + 294. Calculate the lowest common multiple of q and 5.
45
Let z = -236 - -439. Let y = -2/535 + -19787/2140. Calculate the common denominator of (-76)/(-342) + z/(-36) and y.
12
Find the common denominator of 428/14*1/(-4) and 48/54*-3 - 2.
42
Let r = -4585 + 4753. Calculate the smallest common multiple of r and 24.
168
What is the common denominator of 543/(-1197) - ((-15)/10)/((-21)/(-4)) and 23/741?
5187
What is the smallest common multiple of (36 - 3132/90)/((-2)/(-140)) and 3096?
21672
Let f = 4177267994659/17850 + -946517923924540847/4044640425. Let a = f - -40/453181. Let d = a + -14028/5. Find the common denominator of d and -139/6.
42
What is the common denominator of 31/1664 and 7/(-5) - (-194)/29120*222?
11648
Let u be (-3)/(-3) - 51/10. Let i = 151/15 - u. Find the common denominator of (-8)/2*(-153)/340 and i.
30
Let z = 1142 - 500. Let v = -2529/4 + z. What is the common denominator of 81/184 and v?
184
Let j = 50235 - 13111358/261. What is the common denominator of -43/285 and j?
24795
Let t be 293928/1322190 + 6/(-27). Let n = -1052801/661095 - t. Find the common denominator of -37/33 and n.
297
Let d be (-12)/(-18) - (-1 - (-111)/(-9)). Let z be (-3)/(-21)*-177 - (-4)/d. Calculate the common denominator of 71/10 and (z/(-20))/((-6)/52).
30
Let c = 20424 - 18631. Calculate the least common multiple of 1793 and c.
1793
Let d(v) = -2*v**2 + 10*v + 7. Let g = -56 + 61. What is the least common multiple of 42 and d(g)?
42
Let v(m) = 43*m**2 - 130*m - 633. Calculate the lowest common multiple of 1092 and v(-5).
1092
Let n = -3404185/48 + 70923. Find the common denominator of 35/1136 and n.
3408
Let n = 11662 + -314909/27. Calculate the common denominator of ((-86)/(-6))/((-6)/9) and n.
54
Suppose -32421 = -102*y + 8*y - 8545. What is the smallest common multiple of 8 and y?
1016
Suppose 3918*o + 2340 = 3931*o. What is the least common multiple of 66 and o?
1980
Suppose 0 = -11*w - 2 + 2. Suppose 3*z - 2*f - 12 = -w*f, -5*f = z - 4. What is the lowest common multiple of 36 and z?
36
Let n = 266 - 255. Suppose 9*w = -5*p + 7*w + n, -4*w = -5*p - 7. What is the smallest common multiple of p and 8?
8
Find the common denominator of 4670/(-560) - (6 - -1)*(-28)/(-686) and -73/66.
264
Let c = 21 - 19. Let f = -11 - -10. Calculate the lowest common multiple of f/(c/(-10)) + 3 and 16.
16
Let p be ((-5)/((-120)/4562888972))/(131086020/(-38)). Let s = p + -27/1680590. Let c = 693/13 + s. Find the common denominator of c and 65/33.
396
Suppose -19 = 14*f - 145. What is the common denominator of (f/12)/(6/(-252)) and 38/55?
110
What is the common denominator of 51/4 and 4 - 1 - 35739/11362?
1196
What is the common denominator of (2 - (-51)/(-108)) + 65/312*6 and 21/2830?
25470
Let m(y) = 130656*y - 2. Let t be m(2). Let o = 2356298/9 - t. Let x = -9379/18 + o. Find the common denominator of x and -13/12.
12
Let a(p) = -p**2 + 12*p + 5. Let q be a(10). Suppose 0*m - 5*m + 4*r = -90, 5*r = q. Suppose -9*n - 48 = -17*n. What is the lowest common multiple of n and m?
66
Let h = 409 - 601. What is the lowest common multiple of 3 and (5/3)/(9/(-3 - h))?
105
Let s = -167/126 + 18149/13734. Let a be (-135)/2*18507/1892240. Let b = a - s. What is the common denominator of -97/2 and b?
32
Let w = 2590522/81 + -31981. What is the common denominator of (-38)/(-120384)*-418 + 6/(-8) and w?
1296
Let c = 43215/56 + -5436/7. Let m = 2201/6 + -225622/615. Calculate the common denominator of m and c.
1640
Suppose -3*a + 72 = 5*r - 55, -a - r + 41 = 0. Let w be 13/a + 22/6. What is the common denominator of 234/(-82) - (1 - w) and 81/4?
164
What is the common denominator of (-212)/(-16)*(20/6 + 217/(-93)) and -65/862?
1724
Suppose -67*r + 4*r + 27271 = -1394. What is the least common multiple of r and 36?
16380
Let h(i) = -2*i**3 + 35*i**2 - 20*i + 55. Let z be h(17). What is the least common multiple of z/10 + (-3262)/(-70) + 13 and 21?
420
Let q(x) = -4*x - 1. Suppose -1114 + 1123 = 3*b. Suppose 2*p - b*z = 111, 25 = 2*z + 23. Calculate the least common multiple of q(-4) and p.
285
Let n(c) = c**3 + 27*c**2 - 204*c - 43. Calculate the lowest common multiple of 45 and n(-32).
4095
Let f(q) = -q**3 + 2*q**2 + 4*q + 18. Let p be f(4). Suppose -p*b + 2*y = -48, -3*b = 2*y - 3*y - 66. What is the lowest common multiple of 33 and b?
231
Let v(t) = -194*t + 50. Let a be v(5). Find the common denominator of -121/18 and (a/(-240))/(5/(-8)).
90
Let h = 682 + -646. Let y(t) = -t**2 - 14*t + 11. Let a be y(-14). Let s = a - -5. Calculate the lowest common multiple of h and s.
144
Let h = 426 + -364. Suppose 7*z = 1 + h. Calculate the smallest common multiple of 36 and z.
36
Let d = 2/623 + 11829/2492. What is the common denominator of d and (15246/(-4356))/((-77)/(-20))?
44
Suppose 4*i + 17636 = 2*c, 2*c + i - 17637 = 4*i. Suppose 2*m = -730 - c. Let l = m - -114565/24. Find the common denominator of 89/22 and l.
264
Let u(w) = 3*w + 51. Let k be u(8). Let o = -73 + k. Suppose -2*i - i = -84. Calculate the lowest common multiple of o and i.
28
What is the common denominator of -1 + (-988)/65 + 13 and 2/6691?
33455
What is the smallest common multiple of 392 and 15/30*272 + 11?
1176
Let w(j) = -j**3 - 81*j**2 - 108*j - 174. Calculate the smallest common multiple of 9 and w(-81).
25722
Let g = 181 + -126. Let c be -18*(g/10 - 5). Let t(d) = d**3 + 10*d**2 + 10*d + 13. Calculate the smallest common multiple of 9 and t(c).
36
Calculate the common denominator of -47/41 and (-140)/155*(20/32)/(-5).
2542
Let h be (-20)/(-12)*((-2148)/10)/(-3). Let r = 2573/24 - h. What is the common denominator of -77/34 and r?
136
Suppose -5*s = 2*x - 10 - 58, -3*x = 2*s - 36. Suppose 96*o = 377*o - 76432. Calculate the least common multiple of o and s.
816
Suppose -1028 - 916 = -18*y. What is the smallest common multiple of 372 and y?
3348
Let o = -143 + 475. Let q = o + -320. Calculate the lowest common multiple of 88 and q.
264
Let b be ((-117)/(-15))/(10/50). What is the least common multiple of 36 and b/2 + (-39)/26?
36
Let q = 146 + -118. Find the common denominator of -145/24 and (23/28 + (-16)/q)*1.
24
Let n(f) = f + 3. Let r be n(3). Let o = 29 - 26. What is the least common multiple of 1 - -2 - r*(-7)/o and 2?
34
Suppose 3*c - 24 = -l - 2*l, -c + 3 = 0. Let f(i) = -l + 9*i + 7*i + i - 51*i**3 - 7*i**2 + 50*i**3. Calculate the smallest common multiple of 30 and f(-9).
60
What is the least common multiple of 1655 and 23/(-1150)*-20 - (-13)/5?
4965
Let n = 35 - 31. Suppose -10 = 3*v - n*v + m, 4*m + 52 = 5*v. Calculate the least common multiple of v and 28.
84
Let g = -8317892333/5140 - -1618267. What is the common denominator of g and -15/22?
56540
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