2177/792. What is the common denominator of -7/180 and y?
3960
Suppose -3*x + 5 = -5*c + 20, -5 = -5*c + x. Suppose 0 = o + 5*d - 1, -76 + 25 = 5*o - 3*d. Calculate the smallest common multiple of 3/(o/(-12) - c) and 4.
4
Suppose 4*z = -7 + 3. What is the common denominator of 151/6 and 4/18 + (z - (-743)/1152)?
384
Let u = 28961145701/1565420 + -736/78271. Let p = u - 18495. What is the common denominator of 155/78 and p?
780
What is the common denominator of (1054/(-444) - -2)*(-1127)/20286 and 103/10?
19980
Suppose -58*u = -48*u - 70. Let a(r) = 35*r - 237. Let c = 25 - 13. What is the lowest common multiple of a(u) and c?
24
Let j(q) = 60*q - 162. Suppose 6*u - 17 = -2*r + 7*u, 0 = 3*r + 5*u + 7. Calculate the smallest common multiple of 108 and j(r).
1188
Let q be (-8)/(-6) - (-205312)/(-65380). Let i = q - 6/2335. Calculate the common denominator of ((-231)/(-24))/(6/4) and i.
84
What is the lowest common multiple of (2/(-3))/((-32)/80*10/24) and 70?
140
Suppose -3*f - 90 = -5*n, 3*f + 12 = -n + 48. Calculate the least common multiple of 35 + (-19)/((-266)/(-112)) and n.
189
Let f = -12428427549/8 - -1549600149. Let h = f - -125817399/32. Let o = -21499 - h. Calculate the common denominator of -137/12 and o.
96
Let g be (80/(-30))/((-2)/9). Suppose 14*v - g*v = 0. Calculate the common denominator of -107/12 and (((-282)/24)/1)/(1 - v).
12
Let f = -3853/240 + 178/15. Find the common denominator of f and -3/80.
80
Calculate the common denominator of (-76)/342 - (-3)/(-108) and (-3 - (-121)/21)*(-13)/52.
84
Find the common denominator of (10726/876 - 1) + (-495)/45 and -109/30.
2190
Find the common denominator of 14/1359 and (-30 + 23 + 9)/((-2567)/(-23)).
23103
Let m = -79 + 46. Find the common denominator of (783/(-36))/(m/(-2)) and -103/174.
1914
Let j = -8267/4 + 2064. Calculate the common denominator of j and 19/130.
260
Let x(o) = o**3 + 9*o**2 + 8*o + 2. Let m be x(-8). Let b be m - (-4 + 5)*-14. Find the common denominator of -95/12 and 21/b + -3 - (5 - 5).
48
Suppose 2*t - 4*g + 7552 = 0, -8*g + 10*g - 18880 = 5*t. Let m = -216382211/20 + 10822890. Let a = t + m. Find the common denominator of 63/16 and a.
80
Suppose -4*f - 6540 = -5*u, -4*f = 4*u - 11*u + 9164. Calculate the smallest common multiple of u and 16.
1312
Let a = -4186786/99 - -42290. Calculate the common denominator of a and -9/506.
4554
Let s(z) = 10*z**2 - 156*z + 2202. What is the lowest common multiple of s(15) and 672?
14784
Let f = -313 - -308. What is the common denominator of (f - -10 - (-606)/(-180)) + 4 and -49/39?
390
Calculate the common denominator of -34/403 and (-20)/5*(-30)/(-372).
403
Let l(h) = -28*h - 2. Let a be l(-2). Suppose 4*t - a = 378. Suppose -t - 28 = -4*k + 4*j, -4*k - 2*j = -166. Calculate the least common multiple of k and 33.
429
Suppose -3*s + 109 = -5*y, -5*s - 11*y + 12*y = -145. Suppose s*f - 1102 = -38. What is the smallest common multiple of f and 12?
228
Let b = 58834/9 - 6530. Calculate the common denominator of b and 68/15 + -1 - -2.
45
Suppose 4*j = 9 + 3. Let v(l) = l**2 + 92*l + 902. Let n be v(-11). Suppose -j*m = -4 - n. Calculate the least common multiple of m and 10.
10
What is the common denominator of (-890)/300 + 9 - 6 - (-2)/(-9) and 37/22?
990
Find the common denominator of 46/53 and (517/4465)/((2 + -5)/(66/4)).
10070
What is the smallest common multiple of 511 and (-1936)/(-66)*876/16?
11242
Let g = 788/7897 + 2/149. Let j = -2164/5 + 15418/35. Calculate the common denominator of g and j.
371
Let a = -63538905/56948 - -25662/23. Calculate the common denominator of a and 73/20.
12380
Calculate the smallest common multiple of 376 and ((-12)/(-5))/((-158)/(-1185)).
3384
Let r be (2*5)/((-28)/(-12) + -2). Let i = r - 55. Let k = i - -37. What is the smallest common multiple of 16 and k?
48
Suppose 227*j - a = 222*j + 9242, j - a - 1850 = 0. What is the smallest common multiple of j and 72?
5544
Let r(k) = 159*k. Let o be r(-1). Let v be (-265)/(-30) + 9/54. Calculate the lowest common multiple of v/6 - o/6 and 10.
140
Let g(y) = -46*y + 83. Let r be g(5). Let b = r - -153. Calculate the lowest common multiple of b and 4.
12
Let b = -16476 + 345934/21. Let z = -30/1069 + -26321/166764. Find the common denominator of z and b.
1092
Find the common denominator of 85/24 and (-2205)/(-30)*6/(-468).
312
Let u = -257385/77 - -16713/5. What is the common denominator of -23/847 and u?
4235
Let w be 953/6*2*(-16)/(-4). Let v = w - 1256. Find the common denominator of v and -52/45.
45
Suppose -13*o = -4*o - 405. Suppose 28*j = 23*j + o. What is the lowest common multiple of 16/(-14)*(-14)/4 and j?
36
Let j = -6227 + 87141/14. Calculate the common denominator of j and 4 - (140/45 + -7).
126
Let m(x) = 15*x - 7. What is the least common multiple of (2 - -3) + ((-70)/15 - -4)*-6 and m(7)?
882
Let c = -439/994 + 397/497. Calculate the common denominator of c and ((-6)/(-395))/(8/(-210)).
1106
Suppose 95*c - 55*c + 210 = 45*c. What is the lowest common multiple of 30 and c?
210
Let s = -63 + -353. Let v = s + 511. Calculate the lowest common multiple of v and 6.
570
Suppose -1104 = -152*b - 54 - 138. Calculate the lowest common multiple of 53 and b.
318
Let c be -10 - -9 - (-4)/1. Suppose 3*a - 162 = -c*d, -2*d - a = 4*a - 111. Calculate the common denominator of (d/(-4))/(((-135)/12)/(-9)) and -73/3.
15
Let b = -14093233/154845744 - -1/169787. What is the common denominator of 119/1056 and b?
20064
Let u = -779/315 + 128/45. What is the common denominator of -61/336 and u?
1680
Suppose -7*f = -12*f + 8345. Let c = -14939/9 + f. Let r = 38/3 - c. What is the common denominator of r and 19/8?
72
Let v(i) = -i**3 + 95*i**2 - 697*i + 98. What is the smallest common multiple of 2764 and v(87)?
30404
Let r be (-3)/(((-9)/45)/(216/20)). Suppose r = -4*j + 170. Calculate the smallest common multiple of j and 18.
18
Let q be 12/18 - 49326382/(-660). Let s = 74737 - q. Calculate the common denominator of 125/6 and s.
330
Let q be (-60)/(-18)*(-36)/(-8). Suppose q*h - 14 = 1. Let p(s) = -s**2 + 8*s + 8. What is the least common multiple of h and p(8)?
8
Let g = -2039 - -2091. What is the lowest common multiple of g and 428?
5564
Suppose 0 = 2*l + 24*l - 3640. Find the common denominator of 67/776 and ((-889)/l - -7) + -1.
3880
What is the common denominator of -13/3344 and (-15)/(-12) + 228052/(-183920)?
16720
What is the least common multiple of 14 and (-129)/(-105)*45 - 5/(-7)?
56
Let p = 3421 + -3416. What is the least common multiple of p and 31?
155
Suppose 31 = 3*z + 55. Find the common denominator of ((-94)/22)/(z + 9) and -8.
11
Let l = -16707 + 250667/15. What is the common denominator of 95/2142 and l?
10710
Calculate the least common multiple of (-3 + 21)*(4 - (-84)/(-9)*-1) and 75.
1200
Suppose 3*p - 3 = 3*r + 42, -2*p + 33 = -3*r. Suppose -i = 3*i. Suppose i*u - 16 = -k + u, -88 = -3*k - 5*u. What is the lowest common multiple of p and k?
84
Let m = 4277397/7 + -609609. Let c = m + -8707/6. What is the common denominator of 77/24 and c?
168
Let g(a) = -4*a - 12. Suppose -211*o = 63*o + 97*o - 5936. Calculate the lowest common multiple of o and g(-8).
80
Let c be (-171731)/176 - (-5 + (-371)/(-77)). Let o = c - -976. Calculate the common denominator of o and -59/2.
16
Let n be (-3)/21 - -12*870/72639. Let a = n - -61088/24213. Calculate the common denominator of a and -30/7.
21
Let s = 48/11 + -811/22. Let n = 40571/3 - 13513. Find the common denominator of n and s.
6
What is the common denominator of 244/6*(-2)/40 and (21/(-35))/(168/1890)?
60
Let q = -1434 + 941. Let b = -16268/33 - q. What is the common denominator of -29/81 and b?
891
What is the common denominator of (-1018)/1640 + (24/40)/((-5)/(-5)) and -48/115?
18860
Suppose -4*p - 2*r + 4*r = -1918, -4*r - 974 = -2*p. What is the common denominator of 13/80 and p/(-75) + 15/3?
400
Suppose 0 = -3*i - 4 + 10, 4*n - i = 70. Find the common denominator of n and (30/(-20))/((-177)/(-12)*(-2)/(-1)).
59
Let h = -198 + 488. Suppose -8*a + 350 = -h. Calculate the lowest common multiple of 10 and a.
80
Let b(u) = -733*u + 18532. What is the least common multiple of 230 and b(24)?
21620
Suppose 0*v = 4*u - 4*v - 4, v = -4*u + 29. Suppose 650 = -5*h + 5*y, u*h - h + 2*y = -636. Le