 l = 159165/2 + -50136811/630. What is the common denominator of l and -7/855?
5985
Let u = -64 + 68. Let b be (-6)/(u + -6) + -6. Let w = 9 + b. What is the least common multiple of 3 and w?
6
Let q be (-1*1)/((-7)/1197*1). Let n = 2561/6 + -421. What is the common denominator of n and 258/q*(6/(-4) - 0)?
114
Suppose -67 = -14*v + 101. Suppose -3*p - v = 0, -2*q + p = -7*q - 94. Find the common denominator of 1/q*73*21/14 and -41/120.
120
Calculate the least common multiple of 230 and 52 - (-6 - -78)/12.
230
What is the common denominator of -191/5850 and (-6)/63*9*642/648?
40950
What is the smallest common multiple of 230 and (10/(-5)*5290/50)/(4/(-10))?
5290
Let o = -124403 - -181503937/1459. Let w = o - -116781/55442. Find the common denominator of -49/6 and w.
114
Let a(z) = -3*z**2 - 16*z - 33. Let o(c) = 3*c**2 + 16*c + 34. Let f(k) = -6*a(k) - 5*o(k). What is the least common multiple of 16 and f(-4)?
48
Suppose 0*x + 4*n = -5*x + 327, 0 = -x - 5*n + 57. Suppose -6*k + 655 - x = 0. Calculate the lowest common multiple of 11 and k.
1078
Let p = -677981/50 - -13558. Let k = -3517/2850 - p. Find the common denominator of 88/21 and k.
399
What is the common denominator of ((-2061)/1026 + 5 - (3 - 0))*-113 and -85/48?
912
Calculate the common denominator of ((-355)/(-213))/((-10)/(-12))*90/244 and -1/21.
1281
Let x be (-380)/(-16) + 5/20. What is the common denominator of 26 - x - 94/36 and 31/40?
360
Suppose -88*j + 4*y + 112 = -83*j, 0 = -3*j + y + 63. Let n = 3 - -2. Suppose j = n*u - 5. What is the smallest common multiple of u and 17?
85
Let q = 5405 + -5340. What is the lowest common multiple of q and 1565?
20345
Suppose -5*z + 16056 = -2*l - 8584, 4*z - 36967 = 3*l. Let a be 16/(3776/(-2908884))*-1. Let y = l + a. Calculate the common denominator of y and -71/4.
236
Let x be (96 - 94) + 64161578/464. Let f = x + -138281. What is the common denominator of 89/16 and f?
464
Find the common denominator of -10 - (-1 + (-10)/2) - 9666/(-2380) and -61/833.
8330
Let a = 320/19 - 13969/817. Let d(m) = -m**2 - 25*m - 22. Let n be d(-24). Find the common denominator of (1*(-279)/(-12))/(15/n) and a.
430
Suppose -3*i = 5*s + 44316, 25950 = -5*s - 5*i - 18370. Let r = 265793/30 + s. What is the common denominator of r and -3 + 4 + (-327)/99?
330
What is the common denominator of 310/(-4)*44/1320 and -41/10?
60
Let p = 6060 - 5960. Calculate the least common multiple of p and 70.
700
Suppose d = 2*i + 49, 2*d - 106 - 88 = -4*i. Let m = 12 - 1. What is the smallest common multiple of d and m?
803
Let y be -2 + ((-4726)/(-132) - 4). Let i = y + -10/33. What is the common denominator of 117/40 and i?
40
Let i = 8341/1660 - 305/83. What is the common denominator of i and 77/740?
740
Let m = -1563/10 + 1131617/7240. Find the common denominator of m and -4/1991.
15928
Let h be 50 - (4/(-7))/(16/56). Let k = -36 + h. Suppose 5*r - 14*r = -252. Calculate the smallest common multiple of r and k.
112
Let o(p) = -p**3 + 27*p**2 - 55*p + 18. Calculate the least common multiple of 16 and o(24).
3408
Suppose -5*a + 3965 = 5*r, -5*r - 3*a + 1951 + 2010 = 0. Let n = r + -781. Calculate the lowest common multiple of n and 168.
840
Let b(f) = -f**2 - 26*f + 25. Let k be b(-27). Find the common denominator of 2015/(-117)*k/112 and -73/6.
504
Calculate the common denominator of -35/62 and ((-685)/420 + 129/86)*2/1.
1302
Let o = 48302 + -48214. Let n(q) = 5*q - 5. Calculate the least common multiple of o and n(5).
440
Let d = 2191375159820873007/1474136 + -1486548839334. Let k = d + 3/14312. What is the common denominator of -87/20 and k?
2060
Find the common denominator of (2*2/(-152))/(8/(-384)) and -47/10.
190
Let q be (174/(-24) - -8) + 630/(-8). Let a = 11 - 23. Find the common denominator of a and (q/(-15) - 1)/(84/(-105)).
4
What is the common denominator of -11/90 and 32074/6480 + ((-1)/(-3))/((-4)/60)?
3240
Let l = -74577/50 + 1490. Let o = -2/254149 - 30243531/25414900. What is the common denominator of l and o?
100
Calculate the lowest common multiple of 10 and ((516340/(-8))/11)/(30/(-24)).
23470
Let c(t) be the first derivative of -t**2 - 9*t - 4. Let m be c(-6). Calculate the lowest common multiple of 4 and (-1)/((1/10*-2)/m).
60
Let h = -43 - -52. Let n be (h/6)/(165/933). Let d = n - -1/55. Calculate the common denominator of 83/32 and d.
32
Suppose 4*i + 2389 = -219. Let v = -1996/3 - i. Calculate the common denominator of -13/6 and v.
6
Let g = 9 + -53. Let r = 54 + g. Calculate the lowest common multiple of ((-46)/6 - -6)/(2/(-12)) and r.
10
Let j = -85 - -142. Find the common denominator of j/(-54) - (-2)/(-12) and -3 + ((-8)/(-10) - (-2703)/340).
36
Suppose -10*z = -14*z - 4*p + 44, 3*p - 3 = 0. Suppose -4*y - 23 = 61. Calculate the lowest common multiple of 340/14 + 6/y and z.
120
Let m(g) = -460*g - 6420. Calculate the least common multiple of 6860 and m(-14).
6860
Suppose m - 6*y + 8488 = -5*y, 2*y + 10 = 0. Let x be (-42809872)/(-2016)*(-4)/(-10). Let b = x + m. Find the common denominator of -41/5 and b.
45
Find the common denominator of -113/12 and 2/((-2386)/238 + 7).
180
Let i(n) = -7*n - 104. Let d be i(-17). What is the smallest common multiple of 42 and (d + -20)*(-72)/10?
252
Let g = 202 - -187. Calculate the lowest common multiple of g and 7.
2723
What is the lowest common multiple of 4 + -4 + (13 - 3) and 50?
50
Suppose -2098 = -30*s + 6362. Calculate the common denominator of -32/25 and -2*(-6)/((-144)/s).
50
What is the common denominator of -1 - 1051/462 - (-18 - (15 - 30)) and -125/126?
1386
Suppose 13*p = 16*p + 9. Find the common denominator of 13 and -8 + 3353/(-1295)*p.
185
Let t = 4241 + -25339/6. Let w = -123 - -123. Suppose w = 10*b + 35 + 35. What is the common denominator of t and b?
6
Let k = 83/643 + 17123/609564. What is the common denominator of k and -5/948?
948
Let h = 4095970/104715897 - -3/141317. What is the common denominator of -121/114 and h?
1482
Let f = 33849 + -31785. What is the lowest common multiple of 645 and f?
10320
Let k(i) = 4*i - 3. Let z be k(6). Suppose -2*f - 2*d = d + 10, -f + z = -5*d. Suppose -14*l = -501 + 473. What is the smallest common multiple of l and f?
2
Suppose 3825 = 13*x - 38*x. What is the common denominator of 31/(-30) - x/255 and -29/141?
1410
Let j = -24342 - -28092. What is the least common multiple of j and 8250?
41250
Suppose 9*m - 36 = 54. Let a(t) = -6*t**3 + 1. Let g be a(-1). Suppose g*c = m*c - 21. What is the smallest common multiple of 8 and c?
56
Find the common denominator of (1/(-6))/(3/4) + 3860/28980 and -13/84.
1932
Suppose -6*v = -7*v, -3*d - 2*v = -42. Calculate the common denominator of (-8)/d + (-23804)/(-31416) and -45/16.
816
Let w = -6944 - -55459/8. Let g be (-6277)/(-5)*(-55)/(-66). Let d = g + -1032. Calculate the common denominator of d and w.
24
Let g = 6910 + -5500. Calculate the lowest common multiple of 16 and g.
11280
Let b = 170 - 170. Suppose b = -8*m - 9*m + 119. Suppose -4*d = s + 8, 4*s + 2*d = -d + 7. Calculate the least common multiple of s and m.
28
Let x = 62/449 - -31507/2694. Let n = 20394 + -2855133/140. What is the common denominator of n and x?
420
Suppose 170 = -3*p - 82. Let q = -1844/3 - -1179/2. Calculate the common denominator of (27/p)/(17/8 + -2) and q.
42
Suppose -2*b - 4*y + 14 = 0, 0 = -5*b + y + y + 59. Suppose 12*u - 4 = b*u. What is the least common multiple of u and 36*(1 - (1 - 12/9))?
48
Let y = -233 - -241. Suppose 32 = 12*v - y*v. Suppose 0 = -3*z - g + 24, 4*z = -0*z - 3*g + 37. Calculate the smallest common multiple of z and v.
56
Let i(p) = -p**3 - 4*p**2 + 2*p + 10. Let z be i(-4). Suppose 0 = -0*h - z*h - 124. Let q = h - -80. Calculate the least common multiple of q and 6.
18
Suppose -t - n - 13867 = -2*n, 27724 = -2*t - 3*n. Let z = 221913/16 + t. What is the common denominator of z and -33/32?
32
Suppose 30 = 3*m - 4*h, m - 7*h = -2*h + 10. Let y(x) = -14*x - 4. Calculate the smallest common multiple of m and y(-1).
10
Let d = -1713931/292155 + -3/19477. What is the common denominator of d and ((-7)/3)/(30/7)?
90
Suppose 0 = -8*o + 52 + 28. What is the lowest common multiple of o and 7/(14/92) + 0 + 4?
50
Let q = 49 - 18. Let n = q - 33. Calculate the lowest common multiple of 15 and (-1 - 25)*1/(-2) 