56
Let x be 244571/(-44) - (4 - 46/11). Let a = 200299/36 + x. Let s = -4/16729 - -1489001/501870. Find the common denominator of s and a.
90
Suppose -42 = -3*v - 0. Suppose -2*k - v = -6*k + q, -4*k + 22 = 3*q. What is the least common multiple of k and (-325)/15*((-6)/5 - 0)?
52
Suppose 0 = 4*u - 0*u + 24. Let c be (14/u)/(1/(-3)). What is the common denominator of (-1306)/140 + 3/c + -1 and -83/6?
30
Let v(q) = -q**3 + 8*q**2 - 9*q + 15. Let p be v(6). Let j = 40 - p. Calculate the least common multiple of (22/(-5))/(3/(-15)*2) and j.
77
Suppose -p + 273 = 268. Suppose 15 = p*q, 6*q = l + 3*q - 63. Calculate the smallest common multiple of 28 and l.
504
Let c(a) = -13*a - 102. Let o be c(-8). Suppose -z - 5 = -2*z. Suppose -2*l = -2*y + 62, 3*y + z*l - 103 = -o. Calculate the least common multiple of y and 44.
352
Let i = -78094 + 30300413/388. Calculate the common denominator of i and 85/4.
388
Let c(l) = -44*l + 1198. Calculate the lowest common multiple of c(23) and 372.
372
Let h be 28 - ((-110)/165 - (-2)/(-6)). Let j = -41 + 122. Suppose -h*o + j = -26*o. What is the smallest common multiple of 10 and o?
270
Suppose -2*j = -j - 7. Let q = 8 - j. Let c(z) = -z**2 - 25*z + 92. Calculate the lowest common multiple of q and c(-28).
8
Let z = -3854309/3234 - -7151/6. What is the common denominator of z and -73/132?
6468
Suppose -8*w + 4*w = 3*b - 554, 2*b + 4 = 0. What is the least common multiple of 1*(8/(-4) + (-1 - -43)) and w?
280
Let g = 10124652 + -116291752799/11486. Find the common denominator of g and 33/10.
57430
Suppose -2*i + 10*i = -2032 + 3504. Calculate the least common multiple of 920 and i.
920
Let i(r) = 105*r**2 + 2*r + 2. What is the smallest common multiple of 5 and i(-1)?
105
Suppose 4*u - 3*v = -40, -3*u - 4*v - 10 = -5. Let o be 24 - ((-12)/3 - u). Suppose 0 = -7*r + 4*r + o. Calculate the least common multiple of r and 8.
56
Suppose 5*m = 2*h - 207, 4*m - 252 = -3*h + h. Suppose 10*l - 134 = h. What is the least common multiple of 5 and (l/(-20))/(1/(-8))?
10
Calculate the common denominator of 151/12 and (5/(-6))/(7/(357/18)).
36
Let o(a) = 126*a**2 + 753*a + 36. What is the smallest common multiple of 2073 and o(-6)?
37314
Suppose -528012 = -39*f - 90198. What is the smallest common multiple of 18 and f?
33678
Find the common denominator of ((-7)/((-56)/(-6)))/(1500/(-968)) and -61/100.
500
Suppose -5*y + 1780 = -4*m, -75 = 3*y - 5*m - 1130. What is the lowest common multiple of 4 and (5/((-25)/6))/((-24)/y)?
36
Suppose -390*d + 381*d = -1296. Suppose d = -20*y + 26*y. Suppose -o - 2*q = -4*q, 3*o = 2*q + 4. Calculate the smallest common multiple of y and o.
24
Suppose 32 = -r + 5*r. Let u(h) = 78*h - 3 - 1 - 66*h - 8 - 17*h**2 + 2*h**3. Calculate the least common multiple of u(8) and r.
40
Suppose -29*j = -8951 - 3432. What is the least common multiple of 3 and j?
1281
Let r(s) = 70*s**2 - 17*s + 38. Let d be r(2). Let z = 298 - d. What is the smallest common multiple of 42 and z?
42
Let x = -236406115/16 + 14782103. Let h = -6718 + x. What is the common denominator of h and (-22)/968*(2 + -60)?
176
Let w(d) = d**2 + 8*d + 12. Let x be w(-6). Suppose 20*o - 55 - 345 = x. Calculate the smallest common multiple of o and 114.
1140
What is the common denominator of -3 - 13672/6*125/(-97500) and 5/18?
1170
Let x = 79621 - 79615. Let u(f) = 16*f**2 - f + 1. What is the lowest common multiple of x and u(1)?
48
Suppose 12*v = 91 - 77 + 946. What is the lowest common multiple of 48 and v?
240
Let j = -100/181 + 13865/3801. Let t = 7 + -13. What is the common denominator of (-82)/18 - 6/t and j?
63
Let d(o) = 3*o + 111. Suppose 18 = 5*z - 2*z. What is the lowest common multiple of d(-12) and z?
150
Let v(o) = 41*o - 161. Let y be v(4). Let s(q) = q**3 + 4*q**2 - 8*q - 7. Let t be s(-5). What is the common denominator of 61/2 and ((-71)/y)/((112/3)/t)?
14
Suppose -2*v = 3*q + 150, v = q + 2*v + 50. Let y = -46 - q. Calculate the least common multiple of y and 11 + 0/(-8 - -4).
44
Let x = -8351 + 10769. Calculate the least common multiple of x and 52.
4836
Suppose 4*l - n - 420 = 0, 5*l - 48 - 477 = -2*n. Suppose -3*o - 5*d = -23, -6*d = -2*o - 7*d + 13. What is the lowest common multiple of l and o?
210
Calculate the common denominator of 47/690 and 179/(-21) + -77 + 87.
4830
Let s be (6/(-7 + -5))/((-2)/29036). Let v = 87005/12 - s. What is the common denominator of v and -35/4?
12
Let u be -9 + 7 + 5 + -6. Calculate the smallest common multiple of (-13 + 1)/u*(-49)/(-28) and 76.
532
Let a = 18498925/45424 + -1/45424. Let j = 773/2 - a. Calculate the common denominator of -119/20 and j.
20
Let k(r) = 30*r + 25. Let x be k(-1). What is the common denominator of x + 3 + 711/72 and 32/89?
712
Let j = 119 + -43. Let q = -326 + 340. What is the lowest common multiple of j and q?
532
Let o = -11175236/4655 + 24007/10. Calculate the common denominator of o and 73/171.
16758
Let w = 12/1367 + 132311/32808. Let y = 14/337 + -5951/21568. Find the common denominator of w and y.
192
Suppose z + 505 = -4*z. Let l = z + 96. Let k(u) = -u**3 - 5*u**2 - 3*u - 3. Calculate the smallest common multiple of k(l) and 6.
12
Find the common denominator of -2*(19 + 3439/(-171)) and 480/18 - 6/2.
9
Let i = -6/2743 - -14597/403221. What is the common denominator of i and 52/231?
1617
Let k = -5297 - -5305. What is the least common multiple of ((-12)/(-15))/(1/10) and k?
8
Let j = -44702 - -16001. Let x = j - -2984937/104. What is the common denominator of 7/44 and x?
1144
Let a = 5612 - 33695/6. Calculate the common denominator of a and 1034/2296 + (-4)/14.
492
Suppose v = 3*a - 2868, a + 314 = -v - 2562. Suppose 4*k + 10 = 2*l, -3*l + 2*k = -6*l + 31. What is the common denominator of 79/8 and v/(-336) - l/21?
8
Let z = -322/24701 + 1460893175/148206. Let l = -9880 + z. What is the common denominator of 51/10 - 25/((-400)/96) and l?
30
Find the common denominator of 83/256 and (5/8)/(2 - 16)*126/864.
768
Suppose 389*z - 392*z = -1179. What is the smallest common multiple of z and 131?
393
Let j = -3621 - -3636. Calculate the smallest common multiple of 270 and j.
270
Suppose 2*u + 2 = 0, 3*a + 0 + 1 = -u. Suppose s = -a*s, 0 = -3*j + s + 18. Let i = 173 - 69. Calculate the smallest common multiple of j and i.
312
Suppose 20*k + 28 = -p + 24*k, 8 = 4*k. Let u = 159 - 103. Calculate the smallest common multiple of (-452)/p + (-6)/10 and u.
616
Let j(f) = -3*f + 4*f**2 - 8 - 3*f**2 + 4*f. Let x be j(3). Suppose 5*a - 3*w = 25, w = -4*a - x*w + 57. What is the least common multiple of 6 and a?
24
Suppose -10*h - 27*h + 15*h + 4928 = 0. Let c = 11 - 3. Calculate the lowest common multiple of h and c.
224
Find the common denominator of 608267/268716 - (-16)/(-6) and 20/441.
1764
Let y = 47916 - 15237259/318. What is the common denominator of -99/14 and y?
2226
Let t(r) = -r - 22. Let i(c) = -1. Let v(k) = -3*i(k) + t(k). Let p be v(-24). Calculate the common denominator of (p - (-153)/(-36))*78/5 and -23/27.
270
Suppose -18*x = 9*x + 6*x - 264. Suppose -177 = -5*s - 4*w + 111, 0 = -s + 4*w + 72. What is the least common multiple of s and x?
120
Let v = -83876614297/72 - -1164926799. Let j = 26178 + v. What is the common denominator of j and -79/20?
360
Suppose -9*d - w = -7*d + 139, 4*d - 5*w = -257. Find the common denominator of 36/(-2 + -2)*(-7)/d and -117/14.
476
Let j(a) = -5*a**2 - a - 2. Let g be j(-2). Let s be 1416/(-9) + g/5. Let f = s - -186. Calculate the common denominator of f and 85/4.
12
Suppose 2*o - 6*o - 224 = 0. Calculate the least common multiple of 80 and (432/(-84))/(1*6/o).
240
Let q = 3272/527 - 156/31. Let f be (-72)/30*47/(-2). Let x = f - 1023/20. What is the common denominator of x and q?
68
Let c be (18/(-8))/(-3) + 6573/84. Suppose 0 = -90*p + c*p + 55. Calculate the least common multiple of 2 and p.
10
Let l(v) = -19*v - 10 - 39 + 71 + 2*v**2. Let u be l(17). Suppose 0 = 17*k + u - 753. What is the lowest common multiple of 4 and k?
28
Let k(f) = -f - 8. Let s be k(-6). Let t(n) = 4*n**3 - 4*n**2 - 5*n - 5. Let i be t(s). Let m = i - -49. What is the least common multiple of m and 9?
18
Let r(q) = -q**2 + 26*q - 34. Let g be r(26). Let s = g + 31. What is the lowest common multiple of (s/4)/(15/(-240)) and 20?
60
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