14
Let r(p) = p**2 + 6*p - 3. Let c be r(-7). Suppose c*k = 4*s - 4, 3*s + 5*k - 4 = 23. What is the smallest common multiple of 66 and 17/2 - (-2)/s?
198
Let f(i) = 3*i**2 - 2*i - 1. Let b be f(-1). Let l = 95 - 51. Calculate the common denominator of (-327)/l + b/22 and -73/2.
4
Suppose 5*z = 24 + 56. Let r(a) = a - 18. Let p be r(z). Find the common denominator of 27/8 and 0 - ((-15)/(-4) - p).
8
Let j = 45880978 - 23949895355/522. Let n = -1156/29 - j. What is the common denominator of n and -57/5?
90
What is the lowest common multiple of 70*((-30)/(-200))/(1/4) and 78?
546
Let f = 114/23 - -1131/92. Let o = -28 + 34. Calculate the common denominator of 54/12*23/o and f.
4
What is the common denominator of 10 + 64590/(-6440) - (-4)/(-14) and 73/46?
92
Let r(a) = a**2 - 2*a + 1. Let j be r(4). Let h(u) = u**2 - 7*u + 4. What is the least common multiple of h(j) and 16?
176
Calculate the common denominator of -119*(-1)/126 - (-3)/6 and 23/14.
126
Suppose 3*p - 215 = 58. Calculate the least common multiple of 8 and p.
728
Suppose -2*x + 19 = -3. Let z = 141 + -129. Suppose -z*a = -23*a + 88. Calculate the smallest common multiple of x and a.
88
Suppose -14*c - 2 + 114 = 0. Let y(l) = -l**3 + 8*l**2 - 6*l - 3. What is the smallest common multiple of c and y(7)?
8
Let l(s) = 2*s + 22. Let x be l(-5). Calculate the lowest common multiple of 0 - (-1 - (x + -1 - 4)) and 6.
24
Let w(p) = 2*p**3 + 26*p**2 + 2*p + 28. Let m be w(-13). What is the common denominator of 19/2 - (2 - m) and 2/(-10)*(-90)/16?
8
What is the common denominator of 107/30 and 4/(-5) - (-986)/720?
360
Suppose 21*m = 20*m - 1, -5*n - 2*m + 958 = 0. What is the lowest common multiple of 7 and n?
1344
Suppose -5*y = 3*u - 32, 8*u = 3*u + 20. Suppose 0 = -2*o - y*s - 11 + 59, -o + s + 12 = 0. Calculate the least common multiple of o and 20.
80
Let w = 411 + -381. Suppose 8*m + 33 = 9*m. What is the lowest common multiple of m and w?
330
Let f = 1731 - 15551/9. Calculate the common denominator of 6/7 + 7308/(-6468) and f.
99
Let s = 26 + -2. What is the smallest common multiple of 4 and (s/5)/((-6)/(-20))?
16
Calculate the common denominator of 2/18 - -860*19/(-8550) and 6*8/14 + 1.
35
Calculate the common denominator of -11/5 and (12 - 1 - 5) + (-49)/6.
30
Let x be ((-4)/(-10))/(5/50). Suppose n - 5*n + 32 = x*c, 5*n = 2*c - 9. What is the least common multiple of 3 and c?
21
What is the common denominator of 13/34 and (2/12)/((-2)/(-852)*-22)?
374
What is the common denominator of -107/20 and 1281/(-156) - (-29 - -19)?
260
Let o = -419/4 - -7263/68. Find the common denominator of 148/(-24)*2 - 2/(-2) and o.
51
Let p be (-236)/(-4) + 3 + 2. What is the common denominator of 374/(-112) - (-4)/(-14) and -1 + 4 - 180/p?
16
Let k = -230800/3 + 243263401/3162. What is the common denominator of 71/2 and k?
1054
Calculate the common denominator of -9 + 2 + 32/(-144) and -11/168.
504
Let r = 99/8 - 59/4. What is the common denominator of r and 1*((-798)/108 + -1) - -2?
72
Let o be -8*3*(-3)/18. Let w(z) = z**3 - 3*z**2 - 4*z - 1. Let c be w(4). Let t = o - c. What is the least common multiple of t and 7?
35
Let x = 2346 - 2216. What is the least common multiple of 182 and x?
910
Let f be (-4)/14 - 256724/616. Let u = f + 4616/11. Find the common denominator of ((-94)/(-20))/((-12)/(-10)) and u.
132
Let a = -14 + 10. Let k = 74787/22 - 3403. What is the common denominator of k and (a/(-16))/((-22)/(-204))?
22
Let r = 6198/5 - 1246. Let i = -339 - -1906. Let y = -10951/7 + i. What is the common denominator of r and y?
35
Suppose 160 + 104 = -2*w. Let n = 18 - 7. What is the least common multiple of (w/(-18))/(2/3) and n?
11
Let c = 216 - 374. What is the common denominator of 2/(-4) + c/84 and 44/3?
21
Let p(g) = 3*g + 7. Let o be p(-6). Let w = 19 + o. Calculate the lowest common multiple of w and 17*(-3)/(-3) + (-7 - -6).
16
Let x = 9/29 - 665/87. What is the common denominator of x and (-270)/40*32/(-40)?
15
Suppose 81 = -6*g + 5*g. Find the common denominator of ((-51)/g)/((-4)/(-12)) and (1/8)/((-1)/26).
36
Suppose 0 = -x + 6*x - 20. Suppose -2*u = x*f - 36, 4*u + 4*f = -u + 84. Calculate the lowest common multiple of u and (-1)/(-3)*-2*-33.
176
Let m = 656 + -644. Calculate the least common multiple of 102 and m.
204
Let g = 7 + 2. Let z(l) = -l + 1. Suppose 2*b - 4*b - 16 = 0. What is the smallest common multiple of g and z(b)?
9
Let r = -2073699/4 + 521581. Let o = r - 3174. Calculate the common denominator of -137/18 and o.
36
Let h = 509 + -207. Calculate the smallest common multiple of 7 and h.
2114
Let k(z) = 51*z**2 - z + 7. Let n be k(4). Find the common denominator of 49/27 and 1421/n - (-4)/(-18).
351
Let j = -5395 - -86359/16. Calculate the common denominator of -9/4 and j.
16
Let w be (-3)/(-2)*(-367*10)/5. Let l = 31973/29 + w. Find the common denominator of l and -3/2.
58
Suppose 17135 - 47149 = -2*k. Let t = k - 120219/8. Let i = t + 75/4. What is the common denominator of i and -87/20?
40
Find the common denominator of 2338/(-400) + (2 + -8 - -12) and 13/60.
600
Let i be -1*(12 + (-5 - -2)). What is the common denominator of 78/(-20) - i/45 and 3 + ((-52)/6 - 2)?
30
Let p = -13790238/37 + 43811441456/117549. Let o = p + 3/353. What is the common denominator of -52/9 and o?
9
Calculate the common denominator of (-2)/(-1)*(-4 - (-1295)/378) and 79/21.
189
Let f be 8 - 13336/64 - -1. Let i(j) = 99*j - 1. Let v be i(-2). Let x = v - f. What is the common denominator of -103/12 and x?
24
Suppose 27*a = 32*a - 20. Suppose 0 = -3*z + 5*t + 57, z + 3*t - a = 1. What is the lowest common multiple of z and 6?
42
Let q = 1/993 + 22823/15888. Let z = -4603/3794 - 2/1897. What is the common denominator of z and q?
112
Calculate the smallest common multiple of 48 and (-276)/(-45) + (-32)/240.
48
Suppose 2*m = -2*m + 328. Let h = -76 + m. Calculate the least common multiple of h and 46.
138
Let n be 828/(-26) - (-6)/(-39). Let w be (-2)/(n/322) + -1. Let p = 69/8 - w. What is the common denominator of -1/12 and p?
12
Suppose 3*h - 4*h + 4*i = -102, -5*i = -2*h + 207. Suppose 4*c - h = 26. What is the lowest common multiple of 30 and c?
330
Suppose 3*g - 19 = -7. Let a = 472 - 432. What is the lowest common multiple of g and a?
40
Suppose 4*g - 2*s - 12 = 0, -s + 0*s - 7 = -3*g. Calculate the least common multiple of g + (32/4 - -1) and 11.
110
Let z = 81/50 + 62/25. Let m be 2/12 - (-1569)/(-72). Let y = m + 697/24. What is the common denominator of z and y?
60
Suppose o - 8 = 2*o. Calculate the least common multiple of (o/(-6))/(3/36) and (126/(-15))/(-3)*5.
112
Find the common denominator of 5/218 and 76/532 + 1238/(-140).
1090
Let t = -1853/33 - -157/3. Let i = -12443/9 - -1390. What is the common denominator of t and i?
99
Let j(p) = p**3 + 38*p**2 + 20*p + 775. Calculate the lowest common multiple of 15 and j(-38).
15
Suppose -5*c = 4*p + 24, -3*c - 3*p + 17 = -8*c. Calculate the common denominator of c and 68/123.
123
Suppose 2*x - 13 = 45. Let d be (-3)/(-9) - 68/6. Let j = x + d. What is the least common multiple of j and 20?
180
Let l = -83 - -92. Let q(u) = -4*u - 36. What is the lowest common multiple of q(-15) and l?
72
Suppose -q = 2*d - 23, 7*q + 2*d - 155 = 2*q. Suppose -2*f + 51 = -f. What is the lowest common multiple of f and q?
561
Suppose -4 = j - 2. Let p be j + 26/4*-2. What is the common denominator of -35/6 and -2 - 0 - 168/p?
30
Suppose 24 = a - 4*i, -79 + 1 = -4*a - 2*i. Calculate the least common multiple of 4/14 - (-780)/14 and a.
280
Suppose -y = 5*z + 27739, -4*y + 3*y + 1 = 0. Let k = -44481/8 - z. Calculate the common denominator of k and 7/8.
8
Let v = 501581/273 - 12872/7. What is the common denominator of 60/143 and v?
429
Suppose 0 = 2*b + 5*z + 180, 2*b + z + 216 = 28. Let f be (1 + 1)*106/4. Let v = b + f. What is the common denominator of v and -89/12?
12
Let w = 9 + 15. Suppose 4*l = l + w. What is the smallest common multiple of 5 and l?
40
Find the common denominator of 89/20 and ((-6)/(-5))/((-4448)/260).
2780
Let f(n) = -25*n - 2. Let t be f(-1). Let o = -22 + t. What is the smallest common multiple of 9 and (5 + -2 - o) + 10?
36
Suppose 4*k - 3*d - 443 = -2*d, 4*k + 5*d = 449. Calculate the smallest common multiple of 24 and k.
888
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