
Let d = 2883934513/1512 - 1907364. Find the common denominator of d and 37/1176.
10584
Let g = 321/148 + -80409/9028. Let p = g - -41534/6771. Find the common denominator of 70/27 and p.
999
Suppose 0 = 4*l - 20 - 24. Let b = -5 + l. Calculate the smallest common multiple of ((-9)/(-36)*30 + (-120)/10)*-6 and b.
54
Let m = -23684 - -23787. What is the smallest common multiple of 721 and m?
721
Let c(d) = -2*d**3 + 17*d**2 + 13*d - 25. Calculate the smallest common multiple of c(8) and 52.
572
Suppose 0*d = 5*z + 4*d - 208, 0 = -3*z - 2*d + 126. Calculate the lowest common multiple of z and 159/3 + -9 + (-10 - -14).
528
Suppose -5*y = 2*i - 32, -5*y - 3*i - i + 34 = 0. Find the common denominator of -123/20 and (-88)/(-550)*(-3)/y.
100
Let u(n) = -5*n - 58. Let i be 8/(-40) + 32*8/(-20). What is the smallest common multiple of 16 and u(i)?
112
Let i(f) = 10*f - 72. What is the least common multiple of 10 + 12 + (-3 - 2/2) and i(10)?
252
Let g = -22631 - -1765183/78. Calculate the common denominator of g and 7/78.
78
What is the smallest common multiple of 542 and (-32)/36*((-414)/36 - -7)?
1084
Let i = 76/273 + -16642/6825. Find the common denominator of -26/2095 and i.
10475
Calculate the common denominator of -26/1023 and (-10 - 6321/(-630))*(-230)/(-64).
65472
Let f = -83842271/19338 - 12358/879. Let m = f - -4346. What is the common denominator of m and 89/80?
880
Suppose 3 = -g, 22 - 101 = -5*m + 3*g. Calculate the smallest common multiple of m and 7906.
55342
Suppose -5*w + 51440 = -b + 13897, 112629 = -3*b - 3*w. Let a = 1351451/36 + b. Let g = -1994 - -63775/32. Find the common denominator of a and g.
288
Let f be (-2 + (-4)/(-3))*-447. Let j be -2*(f/(-4) - 4). Suppose 4*t + j = 6*v - v, -v + 39 = 3*t. Calculate the least common multiple of v and 3.
33
Let u(k) = -k**3 - 10*k**2 + 2*k + 11. Suppose 4*t + 15 = 5*m, 2*t + 12*m + 5 = 15*m. Let g = -4973/154 - -489/14. What is the common denominator of g and u(t)?
11
Suppose -2*w + 4 = -d, -2*d - 2*w = -w - 7. Find the common denominator of (d/18)/(-1)*(-69)/(-6) and (-2705)/1190 - (-4)/(-14).
306
Suppose 11*b - 13*b - 60 = 0. Find the common denominator of ((-18)/b*(-237)/9)/(-8) and -13/30.
120
Let l = 37/10 + 89/5. What is the common denominator of l and 95/2202?
2202
Suppose w + y - 136 = 0, -3*y + 436 = 5*w - 252. What is the lowest common multiple of w and 8?
280
Let h = -10367/66 + 1902/11. Calculate the common denominator of h and 19/66.
66
Let x = -976255/603 + 1619. What is the common denominator of -107/938 and x?
8442
Suppose -4*y = 2*g - 56, -4*g + 7 + 9 = 0. What is the lowest common multiple of y - 7/(14/12) and 6?
6
Find the common denominator of ((-90)/432)/((-10)/15)*(-228)/470 and -87/14.
2632
Suppose -24 = 3*t + 3*v, -t + 24 = -6*t - v. Calculate the common denominator of 0 + (-53)/(-24)*2 and 995/250 + t + -2.
300
Let b be 4/(12/90 + 69/(-855)). Suppose -79*q + b*q = 0. Suppose k = 2*z, -5*z + 2 + 3 = q. What is the smallest common multiple of 7 and k?
14
Let u(q) = 11*q + 60. Calculate the lowest common multiple of u(0) and 70.
420
Suppose 2*c - 119 - 101 = 0. Suppose 232*u - 209*u = 506. What is the smallest common multiple of u and c?
110
Let x(n) = 2*n + 24. Let h be x(0). Suppose 11*q - h = 3*q. Suppose -q*c + 48 = -0*c. Calculate the smallest common multiple of c and 20.
80
What is the common denominator of (24/2340)/(683/695 + -1) and -41/90?
1170
Suppose -27*j - 2 = -28*j. Suppose -j*i - 66 = -8*i. Let w(p) = 2*p + 3. What is the least common multiple of w(4) and i?
11
Let a = -61395/8 + 7667. Calculate the common denominator of -55/54 and a.
216
Let t = -352694935/24 + 14693203. Let f = -2421 - t. What is the common denominator of f and -101/42?
168
Suppose 3*p + 148 - 1759 = 0. Let f = p + -420. What is the lowest common multiple of f and 54?
702
What is the common denominator of (12/(-2085))/((-16)/(-1320))*6/(-48) and -95/4?
556
Suppose -5*p = 2*j - 134, p + 3*p - 100 = 2*j. Suppose -2*d = d - 9, o = d + p. Calculate the common denominator of 29/22 and -2 - (2/(-4))/((-1)/o).
22
Let h = -119 + 123. Find the common denominator of 4 + 0 + 93/(-27) and 32/(-40)*(-53)/h.
45
Let v(p) = -2*p + 1. Let g(w) = 16*w - 64. Let q(x) = g(x) - 8*v(x). Calculate the lowest common multiple of q(3) and 6.
24
Let h = 691/12 + -93/2. Find the common denominator of 29/1364 and h.
4092
Let k = -350/341 + -42247/14322. Let m = -16569 + 397783/24. Find the common denominator of k and m.
168
Find the common denominator of -31/52 and ((-15049)/15645)/((-1)/(3/20)).
9100
Let m(y) = -47*y**2 - 7*y + 15. Let j be m(3). Let q = 3441/8 + j. What is the common denominator of 25/6 and q?
24
Suppose -4*s + 4019178 = -3*p - 5*s, 0 = 2*p + s + 2679453. Let r = -16055869/12 - p. Let w = r + -1730. What is the common denominator of w and 71/18?
36
Let s = -527 + 527. Suppose 4*h - 89 - 95 = s. Suppose 3 = -2*g - 9. Calculate the common denominator of h and g.
1
Let k(o) = 29*o - 23. Let m(h) = -28*h + 21. Let u(t) = -4*k(t) - 5*m(t). What is the smallest common multiple of u(2) and 40?
280
Suppose -16*l = 2*c - 1892, -5*l + 628 - 56 = 2*c. Let n = 3 + 6. What is the lowest common multiple of n and l?
360
Let s(d) = 4*d - 19. Let h = -72 - -82. Calculate the smallest common multiple of s(h) and 121/5 + 4/(-20).
168
What is the common denominator of (-248)/(-1612) - (((-7976)/(-7735))/1 + -1) and 109/42?
3570
Suppose -3*z = 3*a - 1821, 1801 = -4*z + 7*z - 2*a. Calculate the smallest common multiple of z and 9.
603
Let l(p) = -p**3 - 11*p**2 + 259*p - 18. What is the lowest common multiple of l(-24) and 462?
8778
Suppose 0*b = -5*z + 5*b + 95, -5*z + 109 = 2*b. Suppose 38*u - 8*u + 13470 = 0. Let g = 452 + u. Calculate the lowest common multiple of g and z.
21
Let s = 13 - 11. Suppose s*r + 1 = 13. Suppose 0 = -2*n + 4*x + 10, 3*x = -0*n - 5*n + 25. Calculate the least common multiple of r and n.
30
Calculate the common denominator of ((-20)/(-112))/(144/(-6342)) + 7 and 89/48.
96
Suppose 28*f - 5392 - 21320 = 0. Calculate the smallest common multiple of 27 and f.
2862
What is the lowest common multiple of 1520 and 16*(96/(-12))/32 + (-1144)/(-1)?
4560
Find the common denominator of 57/536 and (-3497)/(-36582) + (-3)/(26 + -5).
1608
Let f = -9 + 11. Let w(o) = o**2 - 4*o - 9. Let d be w(5). Let b(h) = h**2 + 5*h + 8. What is the least common multiple of b(d) and f?
4
Suppose 4*v = 5*m + 173964, 3*v - 50379 - 80095 = 4*m. Let z = 3130925/72 - v. Calculate the common denominator of 47/9 and z.
72
Let v = -10085/3 + 3344. Calculate the common denominator of v and 93/122.
366
Suppose 0 = 3*l - r - 2501, 3093 = 3*l + r + 602. Calculate the common denominator of (-1512)/l - (-5)/4 and 62/65.
520
Let a = -363009 + 1460893/4. Let x = -2203 + a. Calculate the common denominator of x and (3/(-2))/(27/267).
12
Suppose s + 0*s = 3. Suppose 3*z + 3 + 9 = 4*q, 4*z = 3*q - 2. Suppose 0 = -15*p + 9*p + q. What is the least common multiple of p and s?
3
Let s be (-130)/(-4)*(-19 - -21). Let n = s + -75. Calculate the lowest common multiple of ((-6)/n)/((-8)/40) - -15 and 3.
12
Suppose 5*u - 7*x + 58 = 137, -4*u + 5*x = -65. What is the lowest common multiple of 5224 and u?
26120
Let a = 27707 - 27695. What is the least common multiple of a and 135?
540
Suppose 5393 = -10*y + 8139 + 11504. What is the lowest common multiple of 1710 and y?
8550
Suppose 20*i + 7*i = 2083 - 625. Calculate the lowest common multiple of i and 21.
378
Let b = -229695 + 229731. Suppose 3*z - 2 = 5*z. What is the least common multiple of 2*z*(-21 + -1) and b?
396
Let s = 137340811/1612 - 85199. Find the common denominator of s and 85/992.
12896
Suppose -2*a - 10*a + 60 = 0. Suppose -3*f + 5*s = -9, 25*s = -3*f + 22*s + 9. Calculate the least common multiple of a and f.
15
Let a = 3203 + -6889. Let y = 22165/6 + a. What is the common denominator of (-85)/57 - (-3)/9 and y?
114
Let s = 14127 - 12475. Calculate the least common multiple of s and 1888.
13216
Let w = -136 + 182. What is the common denominator of 91/160 and 2/1 - -2 - (-1679)/w?
160
Calculate the common denominator of 15/8 and (116/(-8) - (-3 + 7))/(-1623).
12984
What is the common denominator of (-29)/(-2)*(-42)/504 and 67/7996?
47976
Suppose -4*i - 1 = -29. Let u = 5842