
11360
Let v(k) = 764*k + 236. What is the least common multiple of v(5) and 2366?
28392
Let b = 12910 + -761665/59. What is the common denominator of -17/354 and b?
354
Let z be 2/(-4) - (-61826)/123660. Let g = -363308325399622/12970171845 + 317622573/11339. Let q = z + g. Calculate the common denominator of q and -29/4.
444
Let f be ((-66)/(-28))/((-36)/(-42))*-44. What is the common denominator of -22/153 and f/(-4)*5/15?
612
Let i be 37700/1989 - (-4)/18. Let b = i + -6667/306. What is the common denominator of (-77 - -76) + (-67)/6 and b?
18
Let d = -13123 - -13306. What is the lowest common multiple of 1212 and d?
73932
Let k = -1939/46 + 316831/7521. What is the common denominator of k and 137/90?
9810
Let r = 2860 + -22783/8. Let o be 1/9 - 8/(8640/(-412215)). Let y = -1163/3 + o. What is the common denominator of y and r?
8
Suppose -3000 + 16269 = 36*k - 1239. What is the smallest common multiple of k and 1488?
19344
Suppose 0 = 4*m - 514 - 134. Let p = 172 - m. What is the lowest common multiple of p and 4?
20
Let p(x) = -20*x**3 - 58*x**2 - 218*x - 8. Calculate the least common multiple of p(-4) and 2280.
18240
Let f = 2015459 + -3627826319/1800. What is the common denominator of 23/240 and f?
3600
Suppose 2*c + 57 + 869 = 0. Let x = c + 603. Calculate the least common multiple of x and 10.
140
Suppose 27*q + 110*q - 21580 = -29*q. What is the smallest common multiple of q and 494?
2470
Let q(z) = -2*z**2 + 54*z + 60. Let k be q(28). Suppose 4*w - 127 = -i - 4*i, k*w + 4*i = 124. Calculate the smallest common multiple of 8 and w.
56
What is the common denominator of (-2749)/3192 - (-476)/4522 and -17/160?
3360
Let x = -8/15 + 337/660. Find the common denominator of -26 + (-31)/(6696/(-5553)) and x.
264
Let i(b) = 5*b + 71. Suppose 5*c - 5*d - 100 = 0, 2*c - 4*c - 3*d + 25 = 0. Let t = -4 + c. Calculate the smallest common multiple of t and i(-13).
78
Let v(r) = r**3 + 7*r**2 + 8*r + 11. Suppose -b + 9*n = 13*n + 9, 4*b - 3*n = -17. Let x = 6 + 15. What is the least common multiple of v(b) and x?
21
Let f = 199801 - 128671757/644. Find the common denominator of f and -115/364.
8372
Let h = 275379/80 - 3443. What is the common denominator of 15/368 and h?
1840
Let c(l) = l**3 + 20*l**2 - 65*l - 884. Calculate the lowest common multiple of 418 and c(-15).
13376
Suppose -10 = -4*r + 2*k, 4*k = r + 6*k. What is the lowest common multiple of 76 and r?
76
Suppose 15 = -5*v - 2*m + 61, 31 = 2*v + 5*m. Suppose -14*w + 13*w + 151 = 0. Calculate the lowest common multiple of v and w.
1208
Calculate the least common multiple of ((-90)/120)/(9/(-16))*39 and (-3 - 2)*(-3)/3.
260
Let l(b) = -5*b**3 - 5*b**2 - 7*b - 49. What is the least common multiple of 2 and l(-11)?
6078
Let n be (-7)/63*-6 - 64/6. Let d(z) = -z**3 + 6*z**2 + 10*z + 7. What is the smallest common multiple of (-65 - -10)*4/n and d(7)?
308
Let q = 21/88 - -339/88. Let u be 3*(-1)/(-5) + 1584/110. Calculate the common denominator of q and (-1 + (-38)/(-6))*u/(-25).
55
Let u(j) = 4*j - 89. Let p be u(23). Suppose p*m - 7*m + 412 = -4*z, 4*z = 5*m - 512. What is the least common multiple of 2 and m?
100
Let j(i) = 102*i - 8049. What is the smallest common multiple of 33 and j(97)?
20295
Let t = -18612 + 25410. Calculate the smallest common multiple of t and 2472.
27192
Let a = -1101/6100 - -5/244. Calculate the common denominator of a and 0 - (-5)/(-10) - 57/(-50).
25
Let n = 1542585007/1323 + -1165975. Calculate the common denominator of 73/882 and n.
2646
Let k(v) = 74*v + 11770. Calculate the lowest common multiple of 10232 and k(-159).
10232
Find the common denominator of (-18)/(-16)*8/(-20) and (405/180)/(87/2378*(-11 + 1)).
20
What is the least common multiple of 468 and ((-13)/(65/(-10)))/(-7 + (-4376)/(-624))?
468
Let z(x) = 84*x**2 + 114*x - 24. What is the least common multiple of z(-3) and 455?
2730
Suppose -i + 3 = g - 5, -3*g - 4*i + 29 = 0. Suppose -2*s = 0, -5*s = -z - 4*s + g. Calculate the smallest common multiple of 21 and z.
21
Let u = 39791/850512 - -52/1363. Let v = -1409/2 + 729. Calculate the common denominator of v and u.
624
Calculate the common denominator of ((-2405)/(-14040))/((-2)/3) and -79/16.
144
Let r be 10/(-5) - 682636/796752. Let l = r + -24/5533. Calculate the common denominator of l and -49/12.
36
Suppose -3*g = 4*u - 1049 - 2471, 2606 = 3*u - 2*g. Calculate the smallest common multiple of u and 152.
3496
Let c(t) = 13*t + 52. Let a(p) = 7*p + 26. Let q(o) = -11*a(o) + 6*c(o). Let l be q(-16). Let y = l + -2. Calculate the lowest common multiple of y and 46.
184
Let g = 3914 - 129194/33. Let h = -1028 - -1532. What is the common denominator of (856/h + -2)*3 and g?
231
Let a = -40 + 36. Let w be 371/(-28) + (-5)/a. Find the common denominator of (-47)/2*(-1)/w and 85/22.
264
Find the common denominator of ((-42)/(-8) + (8 - 16))/((-849)/36) and 71/4.
1132
What is the common denominator of (((-3)/15)/1)/((-16456)/147730) and 1/(-3) + 61/66?
44
Let k = -10777211/1590 + -7756/159. Let p = k - -6838. Let m = -21435/8 + 2684. What is the common denominator of m and p?
40
Let r = 65 + -26. Suppose -r - 61 = n. Calculate the common denominator of 95/54 and -75*(n/32 + 3).
216
Let f(g) = g**3 - g**2. Let o be f(1). Let a = -12301 - -12321. Calculate the lowest common multiple of a and o - (-5)/((-10)/(-4)).
20
Suppose 0 = 9*f - 458 - 2593. Calculate the least common multiple of 1 and f.
339
Let r be (102 - (-5)/(-1)) + -2. Suppose -110 = -5*t - r. Suppose t*o = -5*x + o + 4, -4*x = -4*o - 20. What is the lowest common multiple of x and 8?
8
Suppose -5*y = 0, 3*y - 12 = 3*l - y. Calculate the least common multiple of 3 + (-3 - -4 - l) - 4 and 12.
12
Let k = -17009/319 - -585/11. Find the common denominator of k and -29/13.
377
Suppose r + 112477 + 89899 = -4*s, s - r = -50594. Let y = s - -1818923/36. Let d = 241/4 + y. Find the common denominator of d and -4.
9
Suppose -2*z + 5*z + 138 = 0. Calculate the common denominator of 35/118 and z/(77/33 + -2 + 1).
118
Let t = 27871/6498 + 36/361. What is the common denominator of -113/3336 and t?
10008
Let o be 0 + (-1634)/(-10) - 6/(-10). Suppose 2*t = 4*g - o - 20, -t = 5*g - 223. What is the lowest common multiple of 55 and g?
495
Suppose -7 = r + 4. Let g = r + 22. Let l = 1984 - 1977. Calculate the lowest common multiple of g and l.
77
Let y = -27653/10 - -2764. Let w be (-464)/130 + (-2)/10. Let b = w + 639/104. What is the common denominator of y and b?
40
Suppose 0 = -33*t - 343 + 1762. Suppose 0 = 2*p - 8, -2*h - 3*p + t + 5 = 0. Calculate the lowest common multiple of 4 and h.
36
Let c = 685 - 725. What is the common denominator of (-1)/(-4) - (-681)/396 and (-52)/(-18) + (-9)/(72/c)?
99
Let m be (-5)/(-20) - (-1827)/4. Let d = m - 443. What is the smallest common multiple of d and 518?
518
Let h = 4442699/719 - 6179. Let y = 52379/38826 - h. What is the common denominator of y and 131/60?
540
Suppose 5*i + 0*n - 421 = -2*n, 4*n = 4*i - 320. Suppose i*m = 85*m - 11470. Let p = 80343/14 - m. Find the common denominator of -65/3 and p.
42
Calculate the common denominator of 52/(-90)*75/(-24)*2 and 63/1050*(-7)/(-24)*-13.
3600
Find the common denominator of -73/3474 and (-37)/(-296) + 489/16*4/6.
3474
Calculate the common denominator of -38/51 and ((-6391)/(-495))/7 - (-2)/(-3).
765
Let r = -88048613205930934724589/467421770411302 + 60140/192989996041. Let b = r + 188370804. Let k = b - -28/173. Find the common denominator of 31/4 and k.
28
Let w(i) = -635*i - 1795. What is the smallest common multiple of 1848 and w(-3)?
9240
Suppose 36 = -61*u + 707. Calculate the least common multiple of 6311 and u.
69421
What is the common denominator of -26/15 and 1287/1100*15/18?
120
Let j be (1/((-12)/(-906)))/((-1)/10). Let h = -1473/2 - j. Calculate the common denominator of (-2)/(-4)*2 + 6 and h.
2
Let y be -9 + -5 + (-97506)/(-6480). Let r = -11257/72 + 625/4. Let d = y + r. Calculate the common denominator of 71/12 and d.
60
Suppose -5*u + u = -3*b - 1017, 0 = 5*u - 4*b - 1272. Calculate the common denominator of -109/18 and 771/u + (-66)/(-36) + -2.
252
Suppose -a = -5*a + 24. Suppose 22 - 228 = -3*s + 5*f, -5*s - 4*f + 331 = 0. Calculate the smallest common multiple of s and a.
402
Let c = -2798 + 1688