pose -21*y - 18*y = -1404. Let q = 57 - 33. Suppose -4*a - 4*r = -q, -2*a + 11*r - 7*r = -y. Calculate the lowest common multiple of 16 and a.
80
Let v = 309362 - 4638476/15. Let x = v + -29959/240. What is the common denominator of -53/56 and x?
112
Let h = 358/115 + -159/23. Calculate the common denominator of h and 13/111.
555
What is the common denominator of (0 - 3) + (-4797)/(-1353) + 453/198 and ((-4)/22)/((-432)/488)?
594
Let i = -1593794990 + 15906074014711/9980. Let u be -2*(-1)/(-3) + 21824/32934. Let w = u + i. What is the common denominator of -43/2 and w?
20
Let s(z) = -28*z + 103. Let t be s(4). Calculate the smallest common multiple of 54 and (11 + -4 + 2)*(-3 - t).
54
Let n be 44/(-11) - -2*6/4. Let x be n - 3 - (-114)/6. Calculate the common denominator of (-1 - 29/x) + 3 and -26/21.
105
Suppose 2*n - 17 = 43. What is the least common multiple of n and 978?
4890
Let b(t) = t**3 + 6*t**2 - 7*t + 4. Let q be b(-7). Suppose -7 - 17 = -q*v. What is the smallest common multiple of 39 and (v/(-8))/((-10)/240)?
234
Suppose 4*n = 254 + 142. What is the smallest common multiple of 561/(-51) + (33 - (-4 - -2)) and n?
792
Let z = 7289 + -4057. What is the smallest common multiple of z and 8?
3232
Let m be ((25717/(-10))/(3/6))/1. Let t = m + 2469577/480. What is the common denominator of 73/14 and t?
672
Suppose -k + 318 = 127*j - 130*j, 0 = j - 2. Calculate the smallest common multiple of 90 and k.
1620
Let m = 7111481/121 - 58773. What is the common denominator of m and 45/253?
2783
Suppose 16*d - 177 = 15*d. Calculate the common denominator of (2/4)/(4 - d/45) and (2/76)/((-8)/(-368)).
38
Suppose 16*y - 17*y = 0, 15 = 3*d + 3*y. Find the common denominator of (-9)/(576/(-293)) - d and -17/18.
576
Let d = -23862986 - -15749578969/660. Let i = d + -102/55. What is the common denominator of -51/140 and i?
420
Let h = -412153/18 + 22903. Suppose 5*t - 4*t + 2 = 4*i, -t - 5*i + 7 = 0. What is the common denominator of 22/32 + 2 + 2/t and h?
144
Let x(v) = v + 11. Let l be x(-4). Suppose -11*i + l*i = -16, 4*i = 5*k - 79. Suppose 3*d = k*d - 176. What is the lowest common multiple of d and 5?
55
Let f = 6/20549 - 1523645/80716472. Calculate the common denominator of -9/64 and f.
31424
Let j(s) = -s**2 + 2*s + 20. Let a be j(-4). What is the least common multiple of -6 + 39*a/(-12) and 77?
77
Let p = -1682 + 1694. Suppose -3*g - 180 = -8*g. What is the least common multiple of g and p?
36
Let u(g) = -g**2 + 15*g + 20. Let y be u(16). Suppose r + r - 10 = -z, -14 = -z - y*r. What is the least common multiple of z and 262?
786
Let t be 22/6 + (4/(-6))/1. Suppose 0 = -t*v - 2*v - 25, -3*h - 2*v - 16 = 0. Let n(o) = 3*o**2 - o. Calculate the lowest common multiple of 16 and n(h).
112
Suppose 1335 - 943 = 28*b. What is the lowest common multiple of 147/9 + 1/(-3) and b?
112
Let x = 13519 + -11531. What is the lowest common multiple of x and 2?
1988
Let j(k) = -4*k - 6. Let s be j(-5). Calculate the least common multiple of (0/(-2) - 2) + (s - 3) and 2/(-7) - (-802)/14.
171
Let u(p) = 262*p - 622. What is the least common multiple of 24 and u(7)?
2424
Calculate the common denominator of 151/144 and ((-15)/(-20))/(-1)*(-340)/(-5130).
2736
What is the least common multiple of 11/5 - 4*(7 + (-396)/55) and 13335?
13335
Let p(w) = -7*w - 174. Let i be p(-26). Calculate the common denominator of (-1)/(i/(-14))*(-44)/158 and 2/(-3) - (-285)/(-126).
1106
Let w = 56710121/4462052 - 1881/148. Let y = 344557/90447 - w. Find the common denominator of 0/(-5) + 91/(-6) and y.
42
Suppose w + 1543 + 474 = 0. Let v = w - -8015/4. Find the common denominator of -13/29 and v.
116
Let r(g) = 4*g**2 - 111*g - 37. Calculate the least common multiple of r(-5) and 721.
4326
Let c = 6986 - 3938. Calculate the least common multiple of 4 and c.
3048
Let n be (-9)/((-9)/454) + -3. What is the common denominator of n/(-99)*3*(-6)/(-20) and -13/7?
70
Let j = 242561/1347 - 1984489165/123924. Let h = -15833 - j. Let w = 68/3531 + -258307/28248. What is the common denominator of h and w?
184
Find the common denominator of (-3)/(-12)*(-3013)/35370 and 55/216.
1080
Calculate the common denominator of (-8)/7 - 9328/(-9632) and -81/16.
688
Let g be (-14)/(-3)*(-216)/(-42). Let s = -7923 - -166339/21. Find the common denominator of 1654/(-104) + g/156 and s.
84
Calculate the common denominator of -7/943 and 55/(-30)*(-132)/1804.
1886
Let z = -24 + 19. Let l(s) = -s**2 - 12*s + 5. What is the lowest common multiple of l(-12) and ((-1)/(z - -3))/((-1)/(-12))?
30
Let p be (-2)/190*22190/(-28). Let w = 1/114 - p. Let q = -16338 + 441193/27. Find the common denominator of w and q.
27
Suppose 8*r + 947 = 979. Let j = 92 - 76. What is the smallest common multiple of j and r?
16
Let b = 67311/16 - 4201. What is the common denominator of ((-62)/2635)/((-8)/(-35)) and b?
272
Let q = 264 - 242. Suppose -4*n - 293 = -5*z - 2, -3*n = 12. Calculate the smallest common multiple of z and q/(-77) + (-4)/(56/(-46)).
165
Suppose -18*j + 2 = -17*j. Suppose 68 = r - j*p - 0*p, 2*p = -4. Find the common denominator of (876/r)/3*2 and 123/10.
40
Let n = 393879669/1078 + -365380. Calculate the common denominator of -37/66 and n.
3234
Let w = -761707127/1176 + 647710. Calculate the common denominator of w and 9/2.
1176
Let t(h) = 3*h**2 - 3*h + 3. Let s be t(-3). Suppose -2*i - i + 2*a + 28 = 0, -4*i + 3*a + s = 0. What is the least common multiple of i and 14?
42
Suppose -3*m + 327 = 3*l, -46 + 496 = 4*l - 3*m. Let r = l + -94. Calculate the least common multiple of 7 and r.
119
Suppose -i + 104 = 3*i. Suppose -2*w + 24 = -5*c, -7922*w + 5*c = -7917*w - 90. Calculate the smallest common multiple of w and i.
286
Let k(p) = -p + 16. Let q = 39 - 33. Let i be k(q). What is the common denominator of 6/(-15) - (-149)/i and 55/2?
2
Let d be (-1675234)/(-107216) - (4 + -1). Let q = d + 1/6701. What is the common denominator of q and (354/15)/(-4 - -2)?
40
Let t = 24379 - 22125. Calculate the lowest common multiple of t and 20.
22540
Let v(n) = 36*n + 51. Let u be v(6). Suppose -141 - u = -51*k. Let l(x) = x**2 - 5*x - 2. Calculate the least common multiple of k and l(6).
8
Let p = 18489 + -18223. What is the lowest common multiple of p and 152?
1064
Let q be -1*8/(-3)*(2 - 26). Calculate the least common multiple of 56 and (q/20)/(10/(-175)).
56
What is the lowest common multiple of 6 and ((-16)/28)/(24/(-31332))?
2238
Calculate the lowest common multiple of ((-16790)/(-292))/((-5)/(-2)) and 10.
230
Let q = -4 + 7. Suppose 2*v + q*n - 218 = 128, 5*v = -3*n + 856. Suppose c - 6*c = -v. Calculate the least common multiple of 12 and c.
204
Calculate the common denominator of -41/60 and (-25 - 47278/(-1890))*822/(-8).
180
Let l = -145/16176 - 4/337. Find the common denominator of 20/21 + (-42)/(-147) and l.
336
Suppose l = 3*i - 471, l - 256 - 53 = -2*i. What is the smallest common multiple of 27 and i?
1404
Let w = 63 - 69. Let r be 3/(-18) - 1/w. Suppose r*t - t + 14 = -5*x, -5*t + 2*x = -162. What is the lowest common multiple of t and 10?
170
What is the common denominator of (9/(-30))/(18/295) and 426*(-22)/528 - (-6)/(-4)?
12
Let p = -89 - -91. Let l(d) = 43*d - 10. Let y(r) = -r**2 + 16*r + 19. Calculate the smallest common multiple of l(p) and y(17).
76
Calculate the common denominator of -40/33 and 11 - 77/131274*18777.
43758
Let y = -1 - -11. Let t(o) = -2*o**3 + 20*o**2 - 24*o + 322. Calculate the smallest common multiple of t(9) and y.
1340
Let t(i) = -4*i + 4*i - 6 + 1 + 3*i. Let r(a) = 111*a - 553. What is the lowest common multiple of t(5) and r(5)?
10
Find the common denominator of 33/64 and (1 + 477/(-450))/(528/(-570)).
3520
Let v be (2/10)/(2/30). Suppose -v*f + 120 = 3*d, 2*d - 5*f = -0*f + 115. Find the common denominator of -37/9 and 2 - (21/14)/(d/127).
90
Suppose -l - 127 = 183. Find the common denominator of 29/72 and (-5)/(-96)*5518/l.
288
Find the common denominator of 27/18 + (0 - -2 - (-25055)/(-7300)) and 59/40.
2920
Let a = -5831139/490 + 453206488321/38087210. Let v = a + 2/4091. What is the common denominator of -62/27 and v?
513
Suppose 5*l - 1625 = 5*w - 6760, -2*w = -3*l - 2055. Let r = w - 1594. What is the common denominator of 1/(-8)*r/(-8) and -37/7?
56
Suppose -44*u - 203 