2
Let t be (2 + (-249)/4)/((-2)/(-8)). Let d = 283 + t. What is the lowest common multiple of 54 and d?
378
Let y(t) = 3*t + 30. Let m be y(-10). Suppose -3*b - 2 + 8 = m. Suppose -16*o = -b*o - 1400. What is the smallest common multiple of 18 and o?
900
Let x be -6 - (-3)/(-70860)*-246749. Let f = -4/1181 - x. Let s = 219035/22 - 9952. Find the common denominator of f and s.
220
Let b = 1153624 + -3991538933/3460. What is the common denominator of 17/35 and b?
24220
Let j(o) = 33*o - 60. What is the lowest common multiple of j(6) and 228?
5244
Suppose 0 = 6*i + 22 - 4. Let g be (-3 + (2 - 0))*(-8 - i). Find the common denominator of ((-37)/g)/((-2)/(-3)) and 29/7.
70
Suppose 251 - 321 = -14*o. Calculate the least common multiple of 60 and -1 - o - (-1356)/113.
60
Suppose 0 = -2*h - 6, -5*y + 4*h - 5*h = 68. What is the least common multiple of (10/(-4))/(((-39)/(-6))/y) and 149?
745
Calculate the common denominator of 131/480 and -11*(-21)/(-6160)*3/8.
1920
Suppose 0 = -5*z + 15, 2*z - z = 5*c - 1067. Let m = c + -333. Let i = 141 + m. What is the least common multiple of 4 and i?
44
Let c = 455 - 312. Find the common denominator of 35/18 and 1794/176 + 26/c.
72
Suppose -3*z - 31 = f, -4*f - 52 = -10*z + 14*z. Find the common denominator of -4 + ((-1908)/(-16))/z and 40/13.
52
Let b = -92 - -50. Let s = -42 - b. Suppose o + l - 9 = s, -l = 3*o + 1 - 24. What is the least common multiple of o and 10?
70
Suppose -2*k + 0 = 5*l + 5, 0 = -2*l + 2*k - 16. Calculate the common denominator of l + 44/14 - (-46)/21 and 127/246.
246
Let v(x) = 24*x - 2268. What is the least common multiple of v(95) and 8850?
17700
Suppose 2*g + 5*h = -25, -6 + 31 = 3*g - 5*h. Suppose g = -3*i - 1 + 13. Calculate the smallest common multiple of 364/46 + -17 + 4323/253 and i.
8
Suppose 6*c + 3*b - 136 = 10*c, -3*b + 170 = -5*c. Let z(y) = -21*y - 3. Let d be z(-2). Let u = d + c. Calculate the least common multiple of u and 5.
5
Suppose -29*j = -26*j - 4*y - 9, -4*y = 0. Calculate the common denominator of 7/8 and j + ((-6)/64)/((-3)/(-187)).
32
Let s = -4228 + 63368/15. Let v be 0 - 6/(4/(-2)). Calculate the common denominator of (-5 + (-41)/(-15))/(v/2) and s.
45
Let f = 45/133 - 10609/2660. Let u = -4280/53 + 94425/1166. Calculate the common denominator of f and u.
220
Suppose -864 = 105966*q - 105978*q. Let u(p) = 4*p**2 - p - 3. Calculate the smallest common multiple of u(3) and q.
360
Let n = 55 - 243/5. Suppose 0 = -7*i + 4*i - 3. Find the common denominator of n and ((-116)/(-8) - i)*3.
10
What is the smallest common multiple of 921 and (12/66)/((-22)/(-1331)) + -2?
2763
Let n be 36/16 + 12/16. Suppose 0 = -s - 5, -514 = -i + n*s + 554. Find the common denominator of (i/24)/9 + -2 and 16/3.
24
Let g = 163 + -136. What is the smallest common multiple of g and 10?
270
Suppose -u = -78 + 13. Let i = u - 48. Suppose 20*l = i*l + 3. Calculate the lowest common multiple of l and 2.
2
Let n = -110/281 - 24055/6744. Find the common denominator of n and (-754)/(-240) - (-24)/60.
24
Let s = 670889/28 - 23958. Find the common denominator of 19/900 and s.
6300
Let r = -4/35 - -221/35. What is the common denominator of 43/121 and r?
605
Let a = 16912/29 - 12181367/20880. Find the common denominator of a and -83/800.
7200
Suppose 25*f - 20*f - 160 = 0. Let g = 3936 + -23741/6. Find the common denominator of g and 122*1/(-6)*(-24)/f.
12
Let a(b) = -1178*b - 3179. Calculate the lowest common multiple of a(-4) and 5110.
15330
Calculate the common denominator of 840/630 - 4978/3960 and 157/5940.
5940
Let g be 840344/27944 + 6/14. Let o = g + -1/998. Calculate the common denominator of (-12)/(-58)*(-3)/(-6) and o.
58
Let p be (280/48 + -6)*2*-6. Suppose 410 = p*v + 5*t, 0 = -2*v + 2*t - 1 + 383. Calculate the lowest common multiple of v and 15.
195
Let g(h) = h**2 + 24*h + 112. Let s be g(-6). Calculate the common denominator of -4 - ((-4296)/294)/s and -103/105.
735
Let v = 1542 - 7668/5. Let c(o) = 7*o**2 + 2*o + 4. Let s be c(-4). Find the common denominator of s/(-87) - -3 - 2 and v.
145
Let z = -5213/2 - -2514. Let a = 397/4 + z. Calculate the common denominator of a and 111/80.
80
Let b(v) = -32*v + 69. Calculate the least common multiple of ((-126)/12)/3*-6*1 and b(0).
483
Suppose -j - 5 = 4*x - 6*j, -j = -3*x - 1. Let z be (5/(-5) - 69)*(x - 1). Find the common denominator of (-3175)/z + (-5)/35 and 19/10.
10
Let l(w) = -w**3 - 14*w**2 - 47*w + 5. Let k be l(-10). Find the common denominator of -36/43 and (-127)/6 + k/(-50).
129
Suppose 1565 = 4*w + a, -w = -6*w - 4*a + 1937. Calculate the lowest common multiple of 46 and w.
18078
Let l = 117703/88 + -14574/11. What is the common denominator of 81/2306 and l?
9224
Find the common denominator of 1 - -3 - 1030/216 and ((-4)/(-12))/((-1)/3) - 385/(-60).
108
Let v = -1500092/107 + 3842433311/274134. Let p = -67/122 + v. Let a = -16689 - -550673/33. Find the common denominator of p and a.
231
Let o = 1 - -31. Suppose c - o = 4*s, 0 = 5*c - 3*s - s - 192. Calculate the common denominator of 27/c*252/(-27) and -11/14.
70
Let m(v) = -v**2 + 5*v + 5. Let q(s) = -3 + 1 + 12 + 10*s - 2*s**2. Let z(i) = 11*m(i) - 6*q(i). Calculate the smallest common multiple of z(7) and 24.
72
Let w = 1/1875 - -65617/15000. Calculate the common denominator of w and 145/474.
1896
Suppose -s - 4*j - 47 = 0, -2*s - 5*j - 100 = 6. Find the common denominator of (-36)/s*2*1 and (14 - (-1025)/(-60))*9/6.
56
Let i = 7521712203/4368700 + -1651/43687. Let y = 3441/2 - i. Find the common denominator of 91/22 and y.
1100
Let g = 200 + 1069. Calculate the least common multiple of 10 and g.
12690
Let o = 7413 + -163051/22. Let r = 13589 - 448471/33. Calculate the common denominator of o and r.
66
Let z(d) = -d**3 + 17*d**2 - 30*d + 9. Let m(x) = x + 25. Let h be m(-10). Calculate the lowest common multiple of z(h) and (-1)/(-2) + 38/4.
90
Let p = 23 + -40. Let g be (p/119)/((-120)/810586). Let l = g + -3849/4. What is the common denominator of -73/15 and l?
15
Let z = 1272061/29264 - 2560/59. What is the common denominator of 25/434 and z?
3472
Let z = 243 - 238. Suppose -2*r - z*v - 16 = 0, 12 = -2*v - v. What is the least common multiple of 40 and r?
40
Let z = 0 - 12. Suppose -33 + 41 = -4*r. What is the lowest common multiple of -2*r*(-27)/z and 30?
90
Let b(w) = 1089*w + 37. Let r be b(-6). Let y = r + 584693/90. Find the common denominator of y and -47/40.
360
Let q = 276 - 273. Suppose 2*h + 6*t - 21 = t, -21 = -4*h - q*t. Suppose 29 = 2*i - o + 2, 27 = i + 4*o. Calculate the smallest common multiple of h and i.
15
Find the common denominator of -21/520 and (2 - 0)*1 - 4025/552.
1560
Let o(t) = t**2 + 10*t - 13. Let n be o(-12). Let m = 9906 - 356575/36. Find the common denominator of m and 12 - n - (-170)/(-64).
288
Let h = -25117/35 - -3551/5. Calculate the common denominator of -34/1199 and h.
8393
Calculate the common denominator of -41/14 and 21/(-33852)*13*(-68)/(-14).
434
Let v = -99884/91 - -17820/13. Let j = v + -829/3. Calculate the common denominator of -11 and j.
21
Let r = -45 + 23. Let i(q) = 7*q**2 - 39*q + 50. Let a be i(5). Let g = r + a. Calculate the lowest common multiple of 3 and g.
24
Let q be (-2 - -4)*(-560)/10. Let g = 469/6 + -81. Calculate the common denominator of g and ((-14)/q)/((-22)/(-34)).
264
Let s = -14010 + 1933441/138. What is the common denominator of s and 1 - ((-139)/6 + -1)?
138
Let f = 655511/45 + -14570. Let q = -16/5 - f. Let g = 7389 + -110753/15. Calculate the common denominator of g and q.
45
Let a = -1626 + 1611. Let d(s) = 2*s + 18 + 0 + 14. Calculate the lowest common multiple of 1 and d(a).
2
Let c(z) = -3*z**3 - 3*z**2 + 23*z + 37. What is the smallest common multiple of c(-3) and 98?
1078
Let r = 1182 - 1150. Let b be ((-584)/23304)/(3/(-745)). Let j = b + -1/971. Find the common denominator of r and j.
9
Calculate the common denominator of 6/(-8) - (-4176)/2016 and 117/308.
308
Let i be 0 + -4 + 1 + (-202413)/(-6804). Let q = 759/28 - i. What is the common denominator of 13/81 and q?
81
Let p be (65/(-15) + 4)/(3/(-9)). Calculate the common denominator of (p - 19/18)*(-1420)/(-450) and -34/11.
4455
Calculate the common denominator of -14/319 and -4 - (-1 + (-18337)/5742).
5742
What is the common den