8
What is the least common multiple of ((-22)/4 - -4)*240/(-9) and ((-25416)/32)/(-9) + (-3)/12?
440
Let l(d) = 3*d**3 + d - 2. Let t be l(1). Let o be (t - 15/(-5)) + -3. What is the common denominator of o/4*546/70 and -46/3?
30
Let t be (0 - (-6295)/40) + 8/(-4). Let b = -7505/48 + t. What is the common denominator of b and -11/4?
48
Suppose 61*k - 18658 + 82 = -47*k. Calculate the lowest common multiple of 36 and k.
1548
Suppose 6*w - 3*w - s - 39 = 0, 0 = 2*s - 6. Let r(o) = 14*o + 77. Calculate the smallest common multiple of w and r(-2).
98
Suppose 14*c + 10*c - 264 = 0. Suppose -c*i + 0*i + 693 = 0. Calculate the least common multiple of 147 and i.
441
Let u = -497 + 497. Suppose 12 = -2*k - 5*i + 129, u = -2*k + i + 135. What is the least common multiple of k and 54?
594
Let h = -2069/2 - -1011. Suppose 4*t - 9084 = 10400. Let p = -38901/8 + t. Find the common denominator of h and p.
8
Suppose x = -8*x - 270. Let y = x - -32. Suppose -8*s + 60 = -y*s. What is the smallest common multiple of 8 and s?
40
Let t = 3511 + -3381. Let z be 23/(-2)*(1 - 45). Suppose -t + z = 4*r. Calculate the smallest common multiple of 20 and r.
940
Let a(d) = 39*d - 43. Let k be a(-30). Let z = k + 40033/33. Let u = -485/1254 + 17/38. Find the common denominator of z and u.
33
Suppose m = 14*l - 15*l + 2, 3 = 3*m. Find the common denominator of -20/1221 and l.
1221
Find the common denominator of 43/1497 and (-94)/(-1551) - (350/(-396) + 32/(-8)).
8982
Suppose 2*l - 680 = 3*r, -20*r + 24*r = -l + 351. What is the lowest common multiple of l and 490?
3430
Let u = 7878 + -6636. What is the smallest common multiple of 828 and u?
2484
Let y = 517439/96 + -5390. Calculate the common denominator of -59/96 and y.
96
Let w = 7044601760522711/94410 + -74617114296. Let o = 3/5245 + w. Find the common denominator of ((-36)/225)/(1/45) and o.
90
What is the lowest common multiple of 4/(-14) + (7062/(-42))/(-11) and 648?
3240
Let x(q) = 2*q**2 - 14*q + 21. What is the smallest common multiple of x(6) and 150?
450
Suppose 6960 = 8*s + 79*s. What is the smallest common multiple of 150 and s?
1200
Let d be 1 + -6 + (-1118)/(-2). Suppose 8*q - 102 - d = 0. What is the lowest common multiple of 6 and q?
246
Let h = -85/63 - -827/1827. Let z = -364/435 + h. What is the common denominator of (-21 - (-324)/16)*1180/(-45) and z?
15
Let f = -8019074/3 + 2649626. Let l = f + 2948117/126. What is the common denominator of l and -47/14?
126
Calculate the common denominator of 2/18*(-1 - -11) and (0 + (-2)/(-90))/((-5220)/372 + 14).
45
Let j = 78 + -70. Find the common denominator of (j - (-99)/(-8))*7/(-30) and -109/14.
336
Calculate the smallest common multiple of (-1 + (-22)/(-8))/(3110/(-240) + 13) and 93.
1302
Let k(x) = -71*x + 1876. Calculate the least common multiple of k(26) and 126.
630
Calculate the lowest common multiple of 7384 and (168/(-54))/(-14) - 156/(-27).
22152
Let g be (-4)/12 + 3/9. Suppose g = -4*c - 14 + 86. Let k(x) = 19*x**2 - 1. What is the smallest common multiple of k(-1) and c?
18
Let d(x) = -x**3 + 19*x**2 - 17*x - 25. Let i be d(18). Let n(l) = -l**2 - 10*l - 13. Let y = 12 + 1. Calculate the least common multiple of n(i) and y.
104
Let s = 18831 + -18828. Let d(h) = h**2 + 7*h + 7. Calculate the lowest common multiple of d(-6) and s.
3
What is the smallest common multiple of (-28 - -7)*315/(-27) + -1 and 20?
1220
Let a = -49 - -53. Suppose -4*n = -3*p - 9, -4*n + 8 = -4*p - a. Calculate the common denominator of (n + 3)*79/(-24) and -52/3.
24
Let t = 1129 - 1113. Calculate the lowest common multiple of t and 482.
3856
Let z = 102258 - 54920. What is the lowest common multiple of 4 and z?
94676
Suppose -25*r = -11*r - 28. Suppose -c - 115 = -r*m, 59 + 266 = 5*m + 5*c. Suppose -3*i + 16 = 4. Calculate the least common multiple of i and m.
60
Suppose 0 = 3*t - 2*t + 285. Let v = 10878 + -10890. What is the common denominator of -58/9 and (2/v)/(t/(-2115))?
342
Suppose -4*u + 5*w = -2053, 7 = -2*w - 3. What is the smallest common multiple of u and 143?
5577
Let t be 4 - (-5 + 3 + 0)/(-1). Let d be t/12 - 20/(-24). What is the common denominator of -5/11 and d - (-1 + -89*4/40)?
110
Suppose 5 = 2*a - 23. What is the common denominator of 3245/700 - 4/a and (1*(-82)/(-16))/1?
40
Let m(a) = 5*a**2 + 30*a - 122. What is the least common multiple of m(-9) and 52?
52
Let m = -2/23 - 17/69. Let j = -24632 - -517214/21. Find the common denominator of j and m.
21
Let d be 2/(1144/21779) + 13/(-52). Let y = 448/13 - d. Let v = y - -179/99. Calculate the common denominator of v and -19/2.
18
Let w(x) = 90*x - 74. Let o be w(4). Calculate the smallest common multiple of 1664/o - (-2)/11 and 1.
6
Let y = 101571 - 8532119/84. What is the common denominator of y and -8 + 186/24 - (-578)/280?
420
What is the common denominator of 67/66 and 475/180 + 73 + -78?
396
Suppose -g = -3*g + 82. Let q = -5 + g. What is the common denominator of -52/9 and (-4)/18 + 329/q?
36
Let w = -385136567/966 + 398692. Calculate the common denominator of w and 1/276.
1932
Let h = -162041/19390 - 2/9695. Let q = -272105/78993 - -2/8777. What is the common denominator of q and h?
126
Let c = -2756604/13 + 211804. Let b = 73711/312 + c. Let y = -49778/20385 - -54/755. Calculate the common denominator of y and b.
216
Let g = -472 - 121. Let p = -579 - g. Calculate the smallest common multiple of p and 8.
56
Let z = 211/558 + -53048/149265. Find the common denominator of -95/36 and z.
19260
Let c be ((-77)/54)/11*19901. Let b = 7742/3 + c. Calculate the common denominator of (-738)/20*5/(-45)*3 and b.
270
Let v(i) = -7*i - 3. What is the lowest common multiple of 3/(-5 - (-1715)/340) and v(-5)?
544
Let h = -539491/960 + 2813/5. Find the common denominator of -13/6 and h.
192
Suppose -61*r + 51*r - 34980 = 0. Let i = r + 38453/11. Find the common denominator of i and -50/9.
99
Let j(s) = s**2 + s - 82. Let r be j(-10). Suppose 0 = -2*y - 2*y - 4. Let m = r + y. What is the lowest common multiple of 15 and m?
105
Let y be 4 + 1 + 0 + -2. Let b = 41039 - 40933. Calculate the lowest common multiple of b and y/(1 + 5/(-6)).
954
Suppose -q = -10*m + 579, 9*q - 12*q + 235 = 4*m. What is the smallest common multiple of ((-24)/14)/(3/(-21)) and m?
348
Let q(y) = 82*y - 22. Let w = -275 - -276. Calculate the least common multiple of q(w) and 24.
120
Let b(x) = 78*x - 40*x - 7 - 39*x. Let o be b(-11). Calculate the common denominator of -17/18 and (o/(-6))/((-40)/465) + 2.
36
Suppose 0 = 5*t - 50 - 20. Suppose -x = -3*f - 12, -x - 3*f + 2 = t. Suppose 4*l + 4*n = -x*l + 24, -n = 3. Calculate the lowest common multiple of 24 and l.
72
Suppose -3*y = -5*w + 115, 5*y + 4*w = -49 - 155. Let p = y + 42. Suppose 5*d = -k + 11, -p*k + 26 = 4*d - 8. What is the least common multiple of 27 and k?
189
Suppose -483*s + 112200 = -408*s. Calculate the lowest common multiple of 1012 and s.
34408
Let y = -16 - 4. Let x be ((-8)/y + (-2)/(-20))*-2. Calculate the common denominator of x - (-2 + 125/80) and 49/12.
48
Calculate the common denominator of 127/280 and (-2787)/(-462) - (-43 + 49).
3080
Suppose 7*h - 829 = -4*h - 81. Calculate the least common multiple of h and 136.
136
Let l(k) = 2204*k**3 + 6*k**2 - 29*k + 24. Calculate the lowest common multiple of 315 and l(1).
2205
Suppose -933 = -5*z - 3*w, -177 = -z - 206*w + 203*w. Calculate the lowest common multiple of z and 26.
4914
Suppose 0 = -4*m - 6*m - 4190. What is the common denominator of (-45)/(-54)*(1 - m/(-110)) and -73/44?
44
Let x(w) = 58 + 3*w + 57 - 107. Let a = 43 + -35. What is the lowest common multiple of x(0) and a?
8
Let d = -330 - 395. Let c = -425 - d. Calculate the common denominator of (4 - c/78) + (-485)/26 and -31/7.
14
Let i be 2/(-7) - (368/(-14) - 3). Calculate the smallest common multiple of i - (0 + 4)/(2/(-2)) and 12.
132
What is the common denominator of -54/14963 and (-12)/(-18) + ((-2686)/(-357))/((-2)/2)?
104741
Find the common denominator of -1 - (-805)/(-100) - -4 and 18/1*329/(-1880).
20
Let x(b) = -4*b**2 + 6*b. Let s be x(-8). Let h = s + 332. Calculate the lowest common multiple of h and 68.
476
Let a be ((-18)/(-4))/3*750/1160. Let m = -1754213957993/6264 + 280046927. Let w = m - a. Find the common denominator of w and -73