
Let s = -82661 + 7604889/92. Find the common denominator of 18/11 and s.
1012
Let h = -5347/31080 - -706/1665. Find the common denominator of h and -179/1260.
2520
Let g be 6576/(-4)*(-2)/(-4). What is the common denominator of (1/(-3) - 2)*(-30)/285 and (g/99)/2 + 4?
627
Let n = -13998167/36 + 1560681/4. Let m = -1340 + n. Let l = -384 + 9191/24. What is the common denominator of l and m?
72
Let x = 3427/11 - 347827/1122. What is the common denominator of -76/5763 and x?
11526
Let s = -64 + 64. Suppose s = 40*x - 38*x - 20. Suppose x*o + 46 = 126. What is the least common multiple of 68 and o?
136
Let j = -251751/8 + 31475. Calculate the common denominator of -55/24154 and j.
96616
Calculate the common denominator of 59/21 and -146 - -119 - (-11467)/428.
8988
Let b(d) = d**2 + 18*d - 118. Let l be b(-23). Calculate the common denominator of 115/42 and 431/(-56) - 21/l.
168
Let s(k) = k**3 - 9*k**2 + k + 1. Let d be 3 + 0 - -2 - 1. Suppose 5*b - 5*w + 6*w = 85, 4*w - 84 = -d*b. What is the smallest common multiple of s(9) and b?
80
Let k = 3 - 2. Let x be (-13)/(-7) + (-19)/(-133). What is the smallest common multiple of x/k - (-6)/3 and 20?
20
Let t = -50591/1270304 - 2/5671. What is the common denominator of 181/420 and t?
3360
Let l = 194492534 - 413102151187/2124. Let f = l - -1/708. What is the common denominator of -13/6 and f?
18
Suppose 15*i + 98 - 8 = 0. What is the common denominator of -7 + 6 + 154/20 and 92/i - -2 - (2 + -2)?
30
Let x = -376400 - -1260187135/3348. Calculate the common denominator of x and 69/16.
13392
Suppose -5*w + 2*p = -60, -w = 3*w - 3*p - 55. Suppose 2*t - 58 = -3*g, -2*g + t = -w - 24. What is the lowest common multiple of 30 and g?
90
Suppose -1320 = -4*o - 2*h - 2*h, -3*h = -6*o + 1980. Calculate the lowest common multiple of o and 165.
330
Let m = -6726851/418 + 16093. Calculate the common denominator of 7/99 and m.
3762
Calculate the least common multiple of 126760/37 + 32/592 and 15.
17130
Find the common denominator of -11/196 and 13 + (-25831)/1456 + 5.
784
Let k = 55 - 37. Suppose -4*y + k - 2 = 0. Suppose -6*j + y*j = -40. What is the least common multiple of 22 and j?
220
Let k = 449/3 + -7349/48. Calculate the common denominator of (51/(-3264)*16)/(20/61) and k.
80
Calculate the common denominator of 151/156 and (-160)/(-3120)*123/4.
156
Let n = -8/527 + -383/9486. What is the common denominator of n and -2/2307?
13842
Suppose 3*b - 116 = -5*j, -3*b - 129 = -4*j - 20. Let g be (j/10)/5 + 18069/(-2). Let u = -162689/18 - g. What is the common denominator of -49/4 and u?
36
Let i(j) = 6032*j + 60384. Let f be 16/(-2 + 24/10). Suppose z - c = f + 5, 3*c = z - 47. Calculate the smallest common multiple of z and i(-10).
704
Let i(n) = n**3 - 2*n**2 - 12*n. Let g(r) = -9*r + 8*r - 2 - r**3 + 4*r**2 + 8 + 3. Let k be g(4). What is the lowest common multiple of 45 and i(k)?
45
Let q = -4868/11 + 24142/55. Find the common denominator of 2 + -2*(-214)/(-80) and q.
20
Let u be (14/2)/(77/22). Suppose 5*o - 55 = -2*b, -5*b = -2*b + u*o - 66. What is the lowest common multiple of b and 8?
40
Let k(n) be the second derivative of n**4/12 - 10*n**3/3 + 109*n**2/2 - 3*n - 6. What is the lowest common multiple of k(10) and 3?
9
Suppose 0 = v + 7*v - 864. Find the common denominator of -36/109 and 321/30 - (4 - v/30).
1090
Suppose 0 = -5*f + 1152 - 437. Let l = f - 138. What is the least common multiple of 70 and l?
70
Let a = 5542 + -243843/44. What is the common denominator of -27/5116 and a?
56276
Let s = 256561 - 300689519/1172. Calculate the common denominator of -25/2637 and s.
10548
Let s(w) = w. Let l be (45 - -25)*(2 + 7/(-2)). Calculate the lowest common multiple of (8/(-6))/(10/l) and s(8).
56
Let w = -496366/27 + 18386. Find the common denominator of w and -149/612.
1836
Suppose 5*w = -p - p - 2, 0 = -2*w + 4*p + 4. Suppose w = g + 2228 - 6135. Let h = 93793/24 - g. What is the common denominator of -115/18 and h?
72
Let f(s) = 204*s - 61. Let r be f(13). Let k be -51778*((-81)/(-20) - 4). Let q = r + k. What is the common denominator of q and 31/6?
30
Let u = -119461/614835 - 12/5255. What is the common denominator of ((-136)/765)/((-39)/(-30)) and u?
117
Let d = -4964/9 - -140333/252. Let v = 5221/1260 - d. What is the common denominator of 330/(-27)*460/1265 and v?
45
Let d be 2/(-8) - (-135)/(-44940)*-81. Let b = 93535/13482 - d. Let p = 1/162 - 383/81. Find the common denominator of b and p.
18
Let b = -291 - -295. What is the common denominator of (-11)/10 + (b - -2) and 29/40?
40
Suppose 83*q + 539 - 5544 = 76*q. What is the lowest common multiple of 143 and q?
715
Suppose 3*f - 2317 = -5*y, -5*y - 5*f + 1549 + 766 = 0. Suppose -y = -17*z - 12*z. What is the smallest common multiple of 22 and z?
176
Calculate the common denominator of (18 - 18) + (-9)/(2106/210) and 14/15.
195
Suppose -131*r = -124*r - 819. Calculate the smallest common multiple of r and 403.
3627
Calculate the common denominator of 35/8 and 22/(-253) + 460375/(-9005880) + 4/26.
6024
Let g = -29041/30 + 2935/3. Let h = -39 - -42. Calculate the common denominator of g and -4*(h - 129/66).
110
Let t = -166420/2689 - -1566774775/25628859. Let s = 187596 + -66221328/353. Let m = s - t. Calculate the common denominator of m and -37/21.
189
Let n be 4*10/((-80)/(-12)). Let m(z) = 10*z - 51. Calculate the least common multiple of m(n) and 99.
99
Suppose 0 = -1130*z + 1132*z - 68. What is the least common multiple of 23/3 + (-5)/(-15) and z?
136
Let l = 31 - 24. Suppose -4*y + 3*h = l*h - 248, 0 = 5*y - h - 334. What is the smallest common multiple of y and 15?
330
Let x = -117 + 96. Let o = -1/8191 - -450567/507842. Find the common denominator of o and 0/8 + x/(-24)*-6.
124
Let v = 276829173929/31043682 + -13392951/1501. Let k = v + -1/10341. Calculate the common denominator of k and 1/3 - (-1139)/357.
126
Suppose -27*n + 128 = -26*n - 2*z, 127 = n - z. Calculate the smallest common multiple of n and 612.
4284
Let z(g) = 5*g**3 + 22*g**2 - 12*g + 11. Let o be z(-5). What is the common denominator of ((-2)/(-56)*-2)/(o/14) and 93/22?
44
Let b(j) = -2*j**3 - 2*j**2 + 3*j + 4. Let x be b(-2). Let w be 6303/18 - (4 - x). Let p = w - 7426/21. Find the common denominator of p and -5/8.
168
Let q = -163/6 + 551/12. What is the common denominator of -44/951 and q?
3804
Let l = -61/7 - -2293/231. Let n be (-8)/(-6)*675/(-30). Calculate the common denominator of (388/n)/(-2) - (-49)/(-147) and l.
165
Let d be -20*(3 - (-3)/9*-33). Suppose -5*h + 4*f + d = 0, h - 4*f - 58 = -26. Calculate the lowest common multiple of 28 and h.
224
Let p(w) = w**3 - 9*w**2 - 13*w + 33. Let d be p(10). Let l be (1 - 4)*((-128)/d)/4. Let a = l + -27. What is the smallest common multiple of 6 and a?
30
Suppose 3*b - 500*r - 2352 = -499*r, 5*b + 2*r = 3909. Calculate the smallest common multiple of b and 261.
783
Suppose -w + 5*w = s - 98, -4*s + 462 = -2*w. Let g = 617 - 2062. Calculate the smallest common multiple of (-2)/12 + g/(-102) and s.
826
Find the common denominator of ((-1)/(-2))/((-6104)/424) and 57/2398.
16786
Let a = -58995528 - -1179514013/20. Let n = 19833 + a. What is the common denominator of n and -37/5?
20
Let q(c) = 2*c**2 + 4*c - 14. Let y be q(-5). Let s be 1/2*5 - y/32. Suppose -s*m = -m - 30. What is the smallest common multiple of 6 and m?
30
Suppose -107187 = -177*s - 42051. Calculate the lowest common multiple of 552 and s.
1104
Suppose 0 = -3*h - 66 + 78. Suppose 76 = 3*f + 2*o, -5*f - 6*o = -7*o - 131. Calculate the lowest common multiple of h and f.
52
Let n = 255859 + -29935574/117. What is the common denominator of -3 - -1 - (-435)/156 and n?
468
Let y = 0 + 1. Let d be (y - 1) + 96/24. Suppose -4*t + d*r = -32, 3*r = t - 2 - 10. Calculate the least common multiple of t and 11.
66
Suppose x + 30 = -4*x. Let a = 52/181 + 5609/1267. Calculate the common denominator of 3*5*x/(-75) and a.
35
Suppose -4*r = 47 + 65. Let f be (-16)/r*7*(-63)/2. What is the smallest common multiple of 10 and (-12)/f*507 - (-4)/(-14)?
240
Calculate the least common multiple of (-25 - -22)*(2 + 0 + -292) and 18.
2610
Calculate the lowest common multiple of 100/7 + ((-6)/(-63))/((-19)/57) and 678.
4746
Let z = -12596371/106165950 - 48/64343. What is the comm