se 3*m - 110 = -5*y, -3*y - 3*m = y - 88. Let s = -26 + y. What is the least common multiple of s + 2/(6/111) and 21?
231
Let f = -37 + 39. Suppose 119 = -c - f*z, 0*c = -3*c - 5*z - 360. What is the common denominator of 109/18 and 2/(-16) + c/80?
144
Calculate the smallest common multiple of 220 and ((-2 - -13) + -13)*6/4 + 823.
9020
Let y(q) = q**2 - q - 11. What is the smallest common multiple of y(4) and ((-30)/35)/((-141)/1316)?
8
Let o = -1383034/287 + 4819. What is the common denominator of -87/410 and o?
2870
Let x(g) = -18*g - 69. Suppose 0 = -4*k + 17 - 1. Calculate the least common multiple of x(-4) and (2 - k)*1/(-2).
3
Suppose 49*g - 80 = 39*g. Let u = 6422 + -167005/26. Calculate the common denominator of (-1392)/256*g/30 and u.
260
Calculate the common denominator of -3/22 and (15/22540)/(6/27 - (-235)/(-450)).
24794
Suppose -23*w - 40*w = 630. What is the common denominator of 151/90 and (-8)/1*(280/(-441))/w?
630
Let x be 31/7 + -4 + (-9990)/(-14). Let s = x + -23585/33. What is the common denominator of s and -4/3?
33
Let m = 5818283/158 - 36824. Let d = 1681005 - 33598929/20. Let z = d + -2125/2. Find the common denominator of z and m.
1580
Let y = 35225/99756 - 1/5868. What is the common denominator of -56/629 and y?
629
Suppose 0 = i - 0*i + 672. Find the common denominator of (-2*(-8)/i)/(4/(-134)) and (-4)/(-10) + 1128/330.
924
Let f = -1701/43 - -5/86. Let x = 2595377441/246 + -10550331. Let p = 15/41 + x. What is the common denominator of f and p?
6
Suppose -x = -5*x + t + 49, 0 = 2*x - 3*t - 37. Suppose 198 = x*c - 0*c. Calculate the least common multiple of c and 180.
180
Let v = -80/19 + 9731/2090. Calculate the common denominator of 152 - 141 - (-1774)/(-154) and v.
770
Let c be (-17)/((-1105)/10) - 32172/208949. Let x = -1719731/642920 + c. What is the common denominator of x and 41/172?
1720
Suppose 0 = 176*z - 169*z - 14. Suppose 3*c - 175 = z*h, -4*c - 4*h = -6*c + 122. What is the least common multiple of 18 and c?
342
Let j = 10834 - 834206/77. Find the common denominator of j and -36/35.
385
Suppose -2*y + w + 24 = 0, 7*y + w - 71 = -2*w. Let f = 37 + -35. What is the least common multiple of y and f?
22
Let y be (51/(-8))/((-6)/(1469160/5875)). Let q = y - 6622/25. Find the common denominator of -75/4 and q.
188
Suppose 19*h = 13*h + 1230. Suppose -125 = -10*n + h. What is the smallest common multiple of 30 and n?
330
Let f = -4880 + 24433/5. What is the common denominator of f and 5/15 + 224/30?
5
Let d(m) = m + 23. Let v be d(-23). Suppose -p = -3*u + 2*u + 70, 5*u - 2*p - 350 = v. What is the smallest common multiple of u and 45?
630
Let a(d) = d**3 + 12*d**2 - 11*d + 27. Let m be a(-13). Let p be ((-69)/4 - m*-3)*4. Let i = -41 - p. Calculate the lowest common multiple of 6 and i.
48
Calculate the lowest common multiple of 306 and 4*(11 + 29/2).
306
Find the common denominator of (199/(-43581))/((96/(-399))/4) and -107/60.
8760
Let t be 4/10 - (-224)/(-10). Suppose 110 = 10*j - 290. Let s = t + j. What is the smallest common multiple of s and 310?
2790
Let m = -48 + 204. Suppose m = 5*f - 2*q, -3*q - 2*q + 138 = 4*f. What is the least common multiple of 256 and f?
256
What is the least common multiple of (-2 - (-2)/(-4))*-12 and 6545/220*96/28?
510
Let d = 5/63969 + -1589053949/255876. Let c = d + 161435/26. Find the common denominator of c and 19/130.
260
Let u(t) = 2*t**2 - 15*t - 4793. Let v be u(0). Let k = v - -47873/10. Find the common denominator of 81/80 and k.
80
Let g = -46 + 46. Suppose g = i + 2 + 6. Find the common denominator of 103/6 and 46/i*1/2.
24
Let p = -28689/11275 - 1/1025. Let r(s) = 12*s + 3. Let n be r(-5). Calculate the common denominator of (n/(2 - 3))/(-4) and p.
44
Let l = -4981 - -104569/21. Suppose -27*j = 4*j + 222580. Let a = -129301/18 - j. Find the common denominator of l and a.
126
Suppose 0 = -m + 4*m - 90. Suppose 25 = 4*s - 35. Suppose 3*c - 48 - s = 0. Calculate the smallest common multiple of c and m.
210
Let d be (3*19/(-8))/(581/(-856228)). Let k = d + -10505. Find the common denominator of -91/38 and k.
266
Suppose 2*c + 3*m - 1 = -2, 2 = -2*m. Find the common denominator of ((-3)/(-15))/(1/(-9)) and c + -1 + (-259)/(-98).
70
Let v(a) = -a**2 + 161*a + 19630. What is the least common multiple of v(-80) and ((-2)/(-4))/((-2)/(-20))?
350
Calculate the lowest common multiple of (-447)/(-1937) - 70353/(-13) and 12.
5412
Let t = -330/71 - -20756/3763. What is the common denominator of -29/53 and t?
53
Let b be 10*(-4 + 5 + (-12)/(-15)). Let g = -15 - -21. What is the smallest common multiple of (52/78)/(4/b) and g?
6
Let m = -11727/1030 + -3/206. What is the common denominator of (-1 - (-1)/2)/(6533/470) and m?
695
Let i = 269/55 - 6191/1430. Let x = -1689152/39 - -43310. Calculate the common denominator of x and i.
390
Let z = 11041/2666 - 219/43. Calculate the common denominator of 18/1333 and z.
2666
What is the common denominator of -71/130 and 7/(-3)*-3 + 117459/(-16926)?
910
Let q be (-404)/3*81/54. What is the lowest common multiple of 10 and (-16)/(-5) - 24/(-30) - q?
1030
Let z = 5622/5 + -101041/90. Calculate the common denominator of (-293)/(-180) - (-6 - -8) and z.
180
Let w(y) = -y**2 + 46*y + 3. Let v be w(15). Suppose 25*t - 38*t + v = 0. Calculate the lowest common multiple of t and 72.
72
Let y = 15613/54209 - 82/359. Calculate the common denominator of y and -91/906.
906
Suppose 0*z = 3*z - 27. Let d(q) = 18 - q + q - q. Calculate the lowest common multiple of d(8) and z.
90
Let p = 1699 + -1666. Let m = 0 - -6. Let q = m - 0. What is the least common multiple of p and q?
66
Find the common denominator of (-4 - (-13 + 2)) + (-34978)/5010 and -68/27.
22545
Find the common denominator of 0 + 1*20/(-32) and 37/180.
360
Suppose -7*x + 156 = -4*x. Let s = x - 42. Calculate the lowest common multiple of 20/8*16/s and 6.
12
Let k(n) = n**2 + 14*n - 113. Suppose -9*y - 32 = -86. Suppose 3*t - 26 = 3*d - 8*d, 0 = 4*t - d - 27. What is the smallest common multiple of k(y) and t?
7
Let m = -81077/60 + -14675/12. Let w = -2564 - m. Calculate the common denominator of -64/35 and w.
35
Find the common denominator of -2 + (-6 - -13) + 6935/(-1197) and 115/492.
10332
Let v = 385987 - 18526673/48. Let p = -19/48 + v. Find the common denominator of p and -55/91.
364
Let n = 1554 + -31061/20. What is the common denominator of -11/190 and n?
380
Calculate the common denominator of (6/(-570))/((-36)/(-705)) and 13/152.
456
Suppose -4*l + 6*l = 4*v - 2474, 2*l = -2*v + 1246. Suppose 460 = 18*o - v. What is the smallest common multiple of 42 and o?
420
Suppose a + a - 16 = -4*d, a + 3*d - 9 = 0. Let g = -1098 + 1112. Calculate the least common multiple of -3*a/(-9)*5 and g.
70
Suppose 11*c - 392 = -3*c. Suppose -12*g = -c*g + 512. What is the least common multiple of g and 18?
288
Let s(y) = 885*y - 863. Let z(f) = 2*f**2 - 8*f - 12. Calculate the least common multiple of z(9) and s(1).
858
Let a = 12/8039 - -408309/1125460. Calculate the common denominator of (-36)/81*483/(-224) and a.
840
Let f(n) = 5*n + 12. Let m be f(-15). Let r = m + 65. Suppose -r*o + 183 = 43. What is the least common multiple of o and 18?
630
Let s = -10 - -134. Suppose 7*m - 449 = -379. Calculate the lowest common multiple of m and s/7 + (-12)/(-42).
90
Suppose 808*j = 873*j - 1950. Suppose -39 - 3 = -3*b. Calculate the least common multiple of j and b.
210
Let c = -4 + 11. Suppose c*a + 2*a = 18. What is the common denominator of 57/58 and (58/(-80))/(1*a/15)?
464
Let n = -11808 + 12636. What is the smallest common multiple of 40 and n?
8280
Let h = -11090/3525531 + 3/24356. What is the common denominator of 1/15 and h?
11580
Let z be (-4 - 162/(-45)) + (-1672)/(-430). Let j = z - 22709/6966. What is the common denominator of j and -139/162?
162
Let l be ((-1254)/24)/(-11) - (-12)/(-16). What is the common denominator of 2/(-16)*(-274)/(-3) and l/(-21)*(-1096)/64?
84
Let h(m) = -m**3 - 4*m**2 - 9*m - 208. Calculate the smallest common multiple of h(-7) and 6.
6
Let j be (-2)/((-4)/114*9/6). Let o = j + -32. Suppose -o = -3*b + 30. What is the smallest common multiple of b and 36?
36
Let i(n) = n**3 + 10*n**2 + 18*n - 20. Let w be i(-7). What is the common denominator of (-1 + w - -43)/(