-2413/4. Find the common denominator of 39/224 and w.
4256
Let z = -101705034943/2545620 - -9229217/231. Let p = 13/503 + -23123/875220. Let h = p - z. Calculate the common denominator of -67/8 and h.
152
Suppose 67*i + 100 = 72*i. What is the common denominator of -61/10 and i/(-14)*532/(-16)?
10
Let k = -18075 + 288743/16. Let p = k - -3305/144. Find the common denominator of 67/24 and p.
72
Suppose -35*q - 54*q = -166430. What is the least common multiple of q and 44?
3740
Let l = 321 + -403. Let z = l - -130. What is the lowest common multiple of 8 and z?
48
Let m = 607943/43 - 14139. Find the common denominator of 93/650 and m.
27950
Find the common denominator of 5 + 45592/(-7280) + 4/52 and -89/20.
140
Let n = 1/12507 - 221132/2188725. Find the common denominator of n and 47/2100.
2100
Suppose -291*y + 2529 + 6010 = 1555. Suppose 0*b - 45 = -b. What is the smallest common multiple of y and b?
360
What is the lowest common multiple of 61/2 + 1 + (-20)/40 and 11?
341
Let i be (3/1)/((-28)/8 - -5). Suppose -5*b + 5*u = 0, -4*b + 5*b - i*u = -5. Let o = 25 - 14. Calculate the least common multiple of b and o.
55
Let y = 16 + -35. Let g(n) = n**2 + 28*n + 181. What is the smallest common multiple of 71 and g(y)?
710
Suppose -28*w = -37*w + 486. Calculate the common denominator of (w/720)/((-30)/(-88)) and 89/50.
50
Let p = -170 - -505/3. Let x = -1856 + 9238/5. Find the common denominator of p and x.
15
Suppose 5*u = -3*m + 107, 3*u + 2*m - 42 = u. Let a = u - 13. Let d(f) = -f**2 + 11*f - 7. What is the least common multiple of d(a) and 5?
55
Let i = 357401211/3110 - 114920. What is the common denominator of -113/12 and i?
18660
Calculate the least common multiple of (-1 - 1)/((-21)/(14553/18)) and 88.
616
Let q be 1 + -185 + (-3 - -2) + 5. What is the common denominator of 4/(-50)*-5 + 1292/q and 4/27?
27
What is the common denominator of (68/(-2590))/(553/3871) and (-202)/60*6/4?
740
Let w = -17187 + 18050. Calculate the smallest common multiple of 11 and w.
9493
Let r = 9050 - 5456. Let n = -25198/7 + r. Find the common denominator of 61/6 and n.
42
Let y(t) = 2*t**2 - 29*t + 12. Let s be y(14). Calculate the common denominator of -5*9/((-432)/76) and (s + 0)*(1 + (-86)/(-72)).
36
Let o(k) = -843*k - 81. What is the least common multiple of o(-6) and 8?
39816
Let o be (-35)/(-10) + (-1)/(-2). Let s = -2888/423 + 7/141. What is the common denominator of s and (-1)/o - (-3230)/1080?
27
Find the common denominator of -3*(-5)/(-90)*3*61/(-2774) and -46/657.
49932
Let k = -239 + 4339/18. What is the common denominator of k and -53/5304?
15912
Let x = -3706 + 3746. What is the lowest common multiple of x and 52?
520
Suppose 3*d - 5*u + 7 = 0, d + d + 11 = -3*u. Let r be 191495/(-25)*d/5284. Let v = -2/1321 - r. Calculate the common denominator of 43/3 and v.
15
Suppose 7*h = 70 + 420. What is the common denominator of -26/35 and (76/h)/(96/150)?
280
Let n = 30709 + -1105601/36. Find the common denominator of n and 268/50*(14 - (-4433)/(-312)).
180
Suppose -2106 - 2014 = -5*s - 5*p, 0 = 2*p + 4. What is the smallest common multiple of 8 and s?
3304
Let c = -4553/8 + 77801/136. What is the common denominator of c and 85/1422?
24174
Suppose 4926 + 7753 = 65*k - 44066. Calculate the smallest common multiple of k and 1455.
4365
Let o(a) = -a**3 - 3*a**2 - 3*a - 3. Suppose -14*g = -14 + 56. Let q(w) = w**3 + 9*w**2 - 2*w + 3. Calculate the lowest common multiple of o(g) and q(-9).
42
Suppose -2*a - 5 = -o + 29, 5*a - 185 = -5*o. Let x(u) = u**2 - 11*u + 21. Let b be x(11). Let l = 9 + b. What is the lowest common multiple of o and l?
180
Let k be 7 + -1 - ((-7 - -7) + 4). Calculate the common denominator of (-3)/k*2448/(-34776) and 82/63.
1449
Let i be ((-55)/10 - 0)*-18. Suppose -7*l = -i - 41. Suppose u + 39 = 5*a, -13 = -2*a - 0*u + 3*u. Calculate the least common multiple of l and a.
40
What is the least common multiple of 288249/78 + 225/(-30) and 8?
3688
Let h = -20 + 25. Let t = -11196 - -11220. What is the least common multiple of t and h?
120
Suppose 0 = 28*f + 430 - 1466. Let s(d) = -2*d**2 + 77*d - 95. What is the smallest common multiple of 132 and s(f)?
528
Let v = 21/583336 - -21972954425/5250024. Let f = -4188 + v. Find the common denominator of f and 29/20.
180
Let h = -277 - -279. Find the common denominator of h + (-2)/(-16) - 1 and 3/322.
1288
Let f be 4*83/1*1. Suppose n = 3*q + f, n + 0*n + 3*q - 344 = 0. What is the lowest common multiple of 6 and n?
1014
Suppose 2*k = -3*m + 6*k + 164, -6*m - 2*k + 338 = 0. Suppose 62*o = m*o + 60. Calculate the smallest common multiple of o and 60.
60
Let s = 938830779880/17 + -289469694335383999/5241610. Let o = s - -1/14015. What is the common denominator of o and (-2355)/1722 - -2 - 96/168?
902
Calculate the lowest common multiple of 84 and 338/3 + 80/(-120).
336
Let z(w) = -2*w**2 + 4*w + 6. Let u be z(3). Let t(n) = -2*n - 7. Let c be t(u). What is the lowest common multiple of (-10)/6*(4 + c) and 9?
45
Let f = 6510 - 6425. Calculate the lowest common multiple of f and 10.
170
Suppose -4*h + 9*h = -2*y + 52, -2*y + 2 = 0. Let m = -192 - -136. What is the least common multiple of h and (8/(-6))/((m/(-108))/(-7))?
90
Let g = -157/27 - -2753/540. What is the common denominator of g and 85/1848?
9240
Let f = 1/45879 - 8591/550548. Calculate the common denominator of -11/6 and f.
1476
Suppose 0 = -12*w - 15 + 51. Calculate the smallest common multiple of 249 and w.
249
Suppose 22 = 7*u + 4*u. Let b = -1407 - -824. Calculate the common denominator of 34/3 and (-1 + u)/((-143)/b).
39
Suppose -n + 920 = 3*x - 11*x, -2*x = -n + 890. What is the smallest common multiple of 88 and n?
880
What is the common denominator of (858/(-180))/(4/(-10)) and 6/((-1440)/(-1375)) + 4/(-6)?
48
Let f be 8/10 - (-5230271)/(-1020). Let j = 5123 + f. Calculate the common denominator of j and 32/3.
12
Let f = 26 + -23. Let q(p) = 12*p + 0*p**f + 2*p**2 - 6*p**2 - p**3 - p**2. Calculate the lowest common multiple of q(-7) and 22.
154
Let p = 25565/49356 + 1/1828. Calculate the common denominator of 2/177 and p.
1593
What is the common denominator of (-7)/((-504)/604) + -3 + 2 and -169/630?
630
Let l = -2107 + 2128. What is the smallest common multiple of l and 1662?
11634
Let g be (-6)/(-3)*(-36)/(-24). What is the least common multiple of (-4)/10 - (-996)/15 and g/(-6) + -1 + 23/2?
330
Suppose 0 = -b - x + 34 + 1, 4*x = -3*b + 120. What is the smallest common multiple of b and (0 - 1 - -12)*10?
220
Suppose -219*z - 4*p = -215*z - 5196, 1335 = z - 5*p. What is the smallest common multiple of z and 145?
1305
Calculate the common denominator of 9*8/(-144) - (-221)/540 and 139/72.
1080
Let z = 10331 + -5991923/580. What is the common denominator of 15/4 and z?
580
Let p(f) = 300*f - 415. Calculate the least common multiple of 98 and p(5).
15190
Let b = 1758831355/2346 - 749715. What is the common denominator of b and 133/170?
11730
Suppose 4*t - 12 = 0, -4*o + 5*t = -7125 - 7508. Let s = o + -29249/8. Find the common denominator of -49/6 and s.
24
What is the lowest common multiple of 3981/((4 - 49)/(-15)) and 6?
7962
Let y = -5589 + 6015. What is the smallest common multiple of y and 710?
2130
Let o = -20873 + 20957. What is the lowest common multiple of o and (-10)/(1*3/(-6))?
420
Let o = -176107 + 42265799/240. Find the common denominator of o and -131/1650.
13200
Let t = -15937/10 + 1591. Let w = 1490 - 650. Calculate the common denominator of t and (-240)/w*(-413)/(-12).
30
Let s be (-22)/((-1 - 1) + 64/36). Let u = 97 - s. Calculate the lowest common multiple of ((-18)/27)/((4/51)/u) and 3.
51
Let t be ((-845)/(-315))/((-900)/(-42)). Let h = t - 8/75. Find the common denominator of 31/21 and h.
378
Suppose 3*n - 9*r + 4*r = -11, 0 = r - 4. Suppose 2*m + 30 = 3*a, 2*a - n*m - 13 = -4*m. What is the smallest common multiple of 22 and a?
88
Suppose 1487*i - 1520*i = -231. Calculate the smallest common multiple of 34 and i.
238
Let k = -20423/590256 + -1/8198. Let q = k + 2161/720. Find the common denominator of q and -11/20.
60
Let j(y) = -5*y + 76. Let t(w) = -w**3 + 30*w**2 + 65*w - 18. Let i be t(32). What is the smallest common multiple of j(i) and 49?
294
Let k be (-105)/(-2) + -14 + 124/8. Calculate the com