1. Let o be w(-2). Let l = o + -46781/8. Find the common denominator of l and -47/8.
8
Suppose -26*t = -24*t - 278. Suppose 17*a = -v + 18*a + t, -2*a + 282 = 2*v. Calculate the least common multiple of 4 and v.
140
Calculate the least common multiple of (32 + (-1768)/34)/(1/(-108)) and 1080.
2160
Calculate the common denominator of (16 - 10) + 798/(-116) and (-28)/(-182) + (-138)/52.
58
Let b(c) = -c**2 - 13*c - 10. Let k be b(-12). Calculate the common denominator of 73/8 - ((0 - k) + 6) and 4/(-12)*(-78)/(-10).
40
Let x = -3 + 7. Suppose 15*c - 3417 = -36*c. What is the lowest common multiple of c and x?
268
Calculate the common denominator of -2 - (7 + 168432/(-17408) - (-3)/4) and 91/6.
3264
Suppose 4*v = -a + 44, -13*v - 42 = -a - 15*v. Suppose -j + 24 = -24. What is the smallest common multiple of a and j?
240
Let s be (-2)/(-8) - 7/(56/(-790)). Suppose 13*y - 10*y = -3*x + s, 0 = -4*y + 3*x + 146. Calculate the smallest common multiple of 40 and y.
280
Let j(g) = 2 + g**2 - 2*g - 10*g + 23*g - 8*g. Calculate the lowest common multiple of j(0) and ((-180)/21)/(1/(-7)).
60
Let p(w) = w**3 + 29*w**2 + 29*w - 80. Calculate the least common multiple of 642 and p(-13).
4494
Let n = -27686 - -27698. What is the least common multiple of n and 219?
876
Suppose 14*f - 12*f + 2 = 0, 6063 = 4*n - 3*f. What is the lowest common multiple of n and 30?
3030
Let a = -11806 - -909036/77. Let i = 88185/38108 + 10/1361. Calculate the common denominator of i and a.
308
Let z = -8 + 14. Suppose 148 = -10*j + 12*j. Let t = -65 + j. Calculate the smallest common multiple of z and t.
18
Let j = -25014 - -25018. Calculate the smallest common multiple of j and ((-1)/(-2))/(6/24).
4
Let l be 2820/(-96) - 15/(-40). Let h(g) = g**2 + 35*g + 186. Calculate the least common multiple of h(l) and 36.
36
Let w(z) = -5*z**2 + 3*z + 8 - 12*z + 2*z**3 - 3*z**3. Let d = 309 + -305. What is the smallest common multiple of w(-5) and d?
212
Suppose -2*o + 7*o - 1223 = 3*u, -973 = -4*o - 3*u. What is the smallest common multiple of o and 36?
2196
Let o(z) = z**2 + 9*z + 10. Suppose 0*h + 3*h = -27. Suppose 72*s = -96*s - 79 + 1087. Calculate the least common multiple of s and o(h).
30
Let o = -894937061 - -11896398381404/13293. Let z = 720777/1477 - 488. Let y = z + o. What is the common denominator of 11/5 and y?
45
Let k(c) = -c**3 + 40*c**2 - 31*c - 302. What is the lowest common multiple of k(39) and 222?
1110
Suppose 11*n + 5*s + 20 = 10*n, -2*n + 4*s = -16. Suppose 4*o + 3*p = 102, 3*o = -n*o + 5*p + 91. What is the smallest common multiple of o and 18?
54
Let v(w) = -24*w - 880. Calculate the smallest common multiple of v(-37) and 32.
32
Let x(d) = 3*d**2 + 7*d - 16. Let y be x(4). Suppose 71*o - y = 68*o. Calculate the least common multiple of 25 and o.
100
Let r = -108 - -129. Suppose 8*h = 3*h + 25. Suppose h = -r*x + 22*x. What is the lowest common multiple of 3 and x?
15
Let x = -299866 + 7520939144/25081. Let s be (-22999697)/(-877835)*(-1)/6. Let v = x - s. Find the common denominator of -149/12 and v.
60
Calculate the least common multiple of 27934 and 26/(-195) + (-2178)/(-135).
223472
Let r be (-1)/9*3 + 806/(-1680). Let h = r - -7/360. What is the common denominator of h and 121/72?
504
Let k = -123 + 185. Suppose 2*o + 0*l = 2*l + k, 3*o = -l + 77. Suppose -4*y - 3 = -o. Calculate the smallest common multiple of y and 8.
24
Suppose -5*c + 3*g = -33, -4*g + 38 = 4*c - 14. Suppose c*q + 1512 = 37*q. Calculate the smallest common multiple of q and 9.
54
Suppose -2567 = 10*m - 7067. What is the smallest common multiple of m and 30?
450
Let p = -1854 + 1914. What is the least common multiple of 8/(-12)*(-4 + -32) and p?
120
Let z = 8020 - 7019. What is the smallest common multiple of z and 13?
1001
Suppose 33*t - 35*t - 660 = 0. Let q = -3052865/86 + 35498. What is the common denominator of q and (-20)/t*(-618)/8?
946
Let n(p) = -2*p + 42. Let t be n(19). Suppose i = t*q - 0*i + 504, 4*i = -q - 109. Calculate the common denominator of -81/8 and (-4 + 3)/((-145)/q).
232
Suppose 44*o - 24*o = -220. Find the common denominator of 746/1104 - o*(-4)/88 and 107/14.
3864
Let m = -521777/7 - -74538. Calculate the common denominator of 6/(-4)*94/(-2298) and m.
5362
Calculate the smallest common multiple of 3198 and (-8632)/(-221) + (-27)/459.
3198
Let w = 3832091/60 - 63866. Calculate the common denominator of 44/355 and w.
4260
Let s(q) = -9*q + 53. Let l(k) = 3*k**2 - 6*k - 4. Let p be l(3). Calculate the lowest common multiple of s(p) and 12.
24
Let t(d) = d**3 - 13*d**2 + 14*d - 14. Let v be t(12). Suppose 2*l - 2 = v. Let h = -41 + 57. Calculate the smallest common multiple of l and h.
48
Suppose -104*w - 8619 = -121*w. What is the lowest common multiple of 273 and w?
3549
What is the least common multiple of ((-72)/30 - -3) + (-1237)/15*-3 and 64?
1984
Suppose -5*d = -4*b - 46, -6*d + b = -2*d - 28. Suppose 745*k - 739*k + 6 = 0. Let q(r) = 34*r + 38. What is the lowest common multiple of d and q(k)?
12
Let v = 11 + -7. Suppose -12 = 3*d, 4*d - 105 = -v*j - 21. Find the common denominator of -21/8 and (312/60)/(4/j).
8
Let u = -25523039/420 + 60769. Calculate the common denominator of u and 33/34.
7140
Let v(x) = 14*x**3 + x**2 + x + 14. Let b be v(6). Calculate the common denominator of (-1 + (-27)/(-25))/(32/b) and 23/6.
30
Suppose 2*a + 3*p + 20105 = 0, -3*p + 2*p = -3*a - 30185. Let i = a + 120809/12. What is the common denominator of 55/24 and i?
24
Suppose 3*f = z + 3*z + 47601, 2*f = -2*z - 23818. Let b = z - -261803/22. Find the common denominator of b and 14/12*(152/(-24) + 6).
198
Let n(i) = -8*i - 87. Let w(b) = 9*b + 88. Let o(k) = -3*n(k) - 2*w(k). Calculate the least common multiple of 7 and o(-13).
7
Let m = -2924811 - -56890498748/19451. What is the common denominator of m and -1/3?
58353
What is the common denominator of -67/27 and ((-214)/30)/(252/60 + -9)?
216
Suppose u + u = -3*p - 7, 0 = 5*u + p - 15. Let h be (-3)/u*-4 + -3. What is the common denominator of (18/(-54))/(h + -1) and 41?
3
Suppose 2*q + x - 31 = 6*x, 2*x - 10 = -2*q. Suppose 0 = 16*g - 17*g + q. Calculate the least common multiple of 1 + g/2 - 1 and 7.
28
Let c = -23084767/342 - -67499. Find the common denominator of c and -56/33.
3762
Let m = 11463 + -836784/73. Let j(y) = -193*y - 3. Let r be j(-1). Let q = 147 - r. Calculate the common denominator of q and m.
73
Let j = -4992/708209 - -207552406783/22064251395. Let r = j - -2/6231. What is the common denominator of 1/(-5) - (-471)/30 and r?
10
Suppose 32429 = -2*u + u - 3*b, 0 = -u + 4*b - 32408. Let o = 1167017/36 + u. What is the common denominator of o and 13/18?
36
What is the smallest common multiple of ((-462)/(-2695) + (-3)/(-7))*1810 and 10?
5430
Calculate the common denominator of 67/105 and ((-2)/8)/(30/780*-81).
5670
Let i(m) = 34*m**2 + 134*m - 64. What is the lowest common multiple of 32 and i(-6)?
2848
Suppose -4*g - 4*v = -668, 0 = 2*g + 38*v - 41*v - 324. Calculate the lowest common multiple of 20 and g.
660
Let j = -4115/9 + 460. Let w = 63439/12 + -5282. Find the common denominator of w and j.
36
Suppose j + 21 = 24. Suppose 4 = 2*w + 2*m, 2*m = j*w - 17 - 9. What is the common denominator of 14/(-72) - (-8)/w and 16/15?
180
Suppose -c + 2*j - 1922 = 0, 0 = -c + 4*j - 1682 - 236. Calculate the common denominator of 107/80 and c/10080 - (-8)/(-14).
80
Let q(z) = 9*z. Let r be q(1). Let t = r + -4. Let j = -506 + 536. Calculate the lowest common multiple of j and t.
30
What is the lowest common multiple of ((-5)/3 - -1)/((-1134)/379323) and 4?
892
Let a = 28671177/100 - 286713. Let j = 234901/44 - 5340. Calculate the common denominator of a and j.
1100
Let o = -2833 + 2841. Calculate the least common multiple of 328 and o.
328
Let o = -120 + 140. Suppose -17*y = -o*y + 30. What is the common denominator of ((3 - y) + 5)/(168/(-110)) and 5/9?
126
Suppose 458 + 124 = 6*j. Let h = j - 173/2. Find the common denominator of 37/7 and h.
14
Let n be 189138/216 - (-3 + 4). Let t = 5239/6 - n. Find the common denominator of t and -67/36.
36
Let s = -28891 - -1762390/61. Calculate the common denominator of s and ((-147)/9 + 9)/((-42)/(-27)).
427
Suppose v - 5*t - 19 = 0, -5*v + 0*t + 11 = -4*t. What is the common den