8. What is the common denominator of 73/30 and a?
30
Suppose -31*r = -3*a - 27*r + 66, 2*r = -4*a + 66. Calculate the lowest common multiple of a and 6.
18
Let b = -49724 - -10143637/204. Find the common denominator of 105/44 and b.
2244
Let z = -12 + 41. Let j = z - -4. What is the smallest common multiple of j and 15?
165
Let b = -24 + 33. Calculate the least common multiple of 2/3*b*(8 - 4) and 18.
72
Calculate the least common multiple of 38 and ((-45)/25)/(2 + 55/(-25)).
342
Calculate the common denominator of 1623/648 - 2/(-16) and 2/((-4)/152*9).
27
Let z(k) = 5*k + 2*k - 4*k**2 - 9 + 6*k**2 - k. Calculate the least common multiple of 48 and z(-6).
432
Let f(i) = i**3 + 13*i**2 + 6*i - 52. What is the smallest common multiple of 190 and f(-12)?
380
Let o = 40277/3996 + 4/999. What is the common denominator of o and (222*8/2944)/((-6)/(-8))?
276
Let d = -5/288 - 16237/2016. Let x = 3/2573 + -198175/46314. Find the common denominator of x and d.
126
Let i(z) = -2*z + 40. Calculate the least common multiple of i(17) and 6.
6
Suppose -6*u + 980 + 364 = 0. What is the least common multiple of 5 and 5 + u/24 + (-4)/(-6)?
15
Let s = 24 + 96. What is the common denominator of 585/(-12)*(-1)/10 and (-542)/s - 16/12?
40
Let h = -5188/11 - -474. Let f = 39 + -43. Calculate the common denominator of h and (-23)/f + (-9 - -10).
44
Suppose 2*a - 1 + 19 = 0. Calculate the least common multiple of 2/(-6) - 30/a and 3.
3
Find the common denominator of (-3)/(-8)*2848/(-72) and 26/(-3) - 2 - 8/4.
6
Calculate the common denominator of ((-3)/4)/((-18)/(-332)) and ((-146)/12 + 0)*(-12)/16.
24
What is the common denominator of 91*(-1)/32*2 and 57749/43134 + (-2)/21?
624
Suppose -13*p - 62 = -17*p - 3*o, 0 = -2*p + 4*o + 20. What is the smallest common multiple of 206 and p?
1442
Let h = -1/1313 - -151013/23634. Let u be (-59987)/(-8) - (-3)/(-12). Let i = u + -7509. What is the common denominator of i and h?
72
Let j(o) = -12 + o**3 + 10*o + 20*o**2 - 42*o**2 + 15*o**2. What is the smallest common multiple of 2 and j(6)?
12
Let w = -312695762/3965 + 78864. Let t = w + 146741/71370. What is the common denominator of t and -1 + 2/((-4)/69)?
18
Suppose -4*n + 3 = -g, 5*n = -3*g + 4*n + 17. Suppose 3*z - 7 = g. Suppose 0 = -z*p + 31 - 7. What is the least common multiple of p and 8?
24
What is the common denominator of (14/4)/(1/(-13)) and (-28684)/1616 - (-3 + 5)/(1/(-2))?
4
Let t(u) = -6*u - 3. Let v be t(-5). Suppose i = -5 + v. What is the least common multiple of i and 4?
44
Let i = -594 + 841. Calculate the common denominator of (i/95)/((-36)/(-10)) and 79/4.
36
Suppose 4*g - 8 = -0*g. Let c be 6*(-3)/12*(-574)/21. Suppose 47 = 6*h + c. What is the least common multiple of g and h?
2
Suppose -13*y = -16*y - 18. What is the common denominator of -57/2 and (y/26)/(28/56)?
26
Suppose 23 = -3*d + 6*d - 2*s, -s + 13 = 2*d. What is the smallest common multiple of 165 and d?
1155
Let d(x) = 50*x**2 + 2*x - 1. Let k be d(-5). Let n = k + -32219/26. Find the common denominator of n and -107/18.
234
Suppose -2*s + 42 = -2*w, 96 = 3*s + 5*w + 9. What is the lowest common multiple of 268 and s?
1608
Let b(t) = 4*t**2 + 8*t - 6. Let o be b(-5). Suppose 4*z - o - 18 = 0. What is the lowest common multiple of 20 and z?
180
Let y(l) = -2*l - 3. Let g(t) = -t**3 - 2*t**2 - 1. What is the least common multiple of g(-3) and y(-5)?
56
Let o = -7 + 13. Let a(d) = d**2 - 6*d. Let t be a(o). Calculate the common denominator of (79/(-6))/(-1 - t) and 51/8.
24
Let y = 21997/6 - 3658. Let p = -42133/3 - -13724. Let b = -326 - p. Calculate the common denominator of b and y.
6
Calculate the common denominator of -29/38 and (21/1862)/(108/2982).
228
Let u(i) = 3*i**3 + 94*i**2 - 66*i - 22. Calculate the smallest common multiple of u(-32) and 210.
210
Let q = 30 + -44. Calculate the lowest common multiple of (20/q)/(21/(-441)) and 21.
210
Let g = -1/105220 + -39582448/78915. Let q = g - -501. What is the common denominator of ((-235)/30)/((-20)/6) and q?
60
Calculate the smallest common multiple of (-1 - -3)/((-10)/(-90)) and 1106.
9954
Let o = 28 + -18. Find the common denominator of ((-177)/15)/((-36)/o) and -5/6.
18
Suppose 2*m = -4*m - 30. What is the common denominator of (70/15*3)/m and 8/(-5) - 1/(-1)?
5
Let t = -6 - -6. Suppose 3*i + 0*i - 9 = t. Calculate the smallest common multiple of 18 - 0 - 1 - i and 8.
56
Let p = 31 + -29. Suppose -4 - 6 = -2*h, 0 = j + p*h - 24. Let i = 36 + -14. Calculate the smallest common multiple of j and i.
154
Let i = -2282/99 - -78853/3366. Calculate the common denominator of -17/63 and i.
2142
Let s be (3 - 4)/(1/(-7)). Suppose 0 = -s*g + 5*g + 18. Calculate the lowest common multiple of g and 18.
18
Let x(z) = z. Let r be x(-18). Find the common denominator of 89/2 and 3 + -1 + 165/r.
6
Let i = -266413804/2273 + 117208. Calculate the common denominator of i and -5/6.
13638
Suppose -38 = -4*v + 18. Let r = -96 - -134. Suppose 3*t = -4*k + r, 5*t + k - 104 = -35. Calculate the smallest common multiple of v and t.
14
Let t be (-2)/(20/6 + -4). Let q be (-459)/36*(t + 1). Let j = -29 - q. Calculate the lowest common multiple of 2 and j.
22
Let z(l) = -l - 4. Let n = 3 - 9. Let b be z(n). Suppose -b*c + 7 = -1. Calculate the lowest common multiple of c and 2.
4
Suppose 40*l - 432 = 31*l. What is the least common multiple of l and 80?
240
Suppose -z - 2*i = -2 - 8, 25 = -5*i. Suppose b = -k + z, -b + 4*b + 45 = 4*k. What is the least common multiple of k and 30?
30
Calculate the common denominator of 119/108 and -8 + (-1 - (-5467)/560).
2160
Let z = -27 - 3. Calculate the common denominator of 38/9 and ((-38)/z - 0) + -3 + 3.
45
Let z = 43 - 33. What is the smallest common multiple of 4 and (z - 9 - 1/3)*3?
4
Find the common denominator of (-12)/(-3)*-7*(-21)/(-132) and -65/4.
44
Let y = -12895 + 7471. Let i be (-1046)/6*870/(-28). Let b = y + i. Find the common denominator of b and -65/28.
28
Let v be (-6)/(-10) - (-324)/(-90). Calculate the common denominator of 339/2*(-2)/(-60) and 0 + v/(72/(-170)).
60
Let o = -76529 + 9107054/119. Let g = -1/119 + o. Find the common denominator of g and -43/6.
42
Suppose 0 = -29*r + 22*r + 2667. What is the least common multiple of 18 and 5 - r/(-7) - 8/(-14)?
180
Suppose -8*z = -6*z - 38. Let i = z - 18. Suppose h = i + 13. What is the smallest common multiple of 80 and h?
560
Suppose 2*f - f - 2 = 0. Let v = f - 0. Calculate the lowest common multiple of v and (-20)/5 - (-7 + -6).
18
Let s = -41 - -47. Calculate the smallest common multiple of 9 and s + (-1 - 1) + -2.
18
Let m be (10214/(-2858))/(8/(-7)). Let x = m + -3/1429. Let a = -513/4 + 127. Find the common denominator of x and a.
8
Let j = 2442513879797/20 - 122174678560. Let g = -49000173 - j. Let v = 15607 + g. What is the common denominator of -97/12 and v?
60
Let y = -1295/32 + 325/8. Calculate the common denominator of 11/36 and y.
288
Let g = -1040/11 - -16051/165. What is the common denominator of g and -38/11?
165
Let n = 16326560545/352 - 46382305. Let y = -328/11 - n. Calculate the common denominator of 109/40 and y.
160
Let f(j) = j**3 + 2*j**2 - 4*j - 7. Suppose -6*w - 5 - 7 = 0. What is the least common multiple of f(w) and 5?
5
Let b = -35 + 70. Suppose 5*d = -0*u - 2*u + b, 0 = -2*u - 2*d + 20. What is the smallest common multiple of 4 and u?
20
Let d be ((-258)/20)/(36/(-7890)). Let t = -2844 + d. Calculate the common denominator of -81/16 and t.
16
Find the common denominator of 47/160 and -4 - 0 - (-11 + 8772/1152).
480
Let q = 11589 - 278015/24. Calculate the common denominator of 65/36 and q.
72
What is the common denominator of -20/7 and 4/10 - (-1596)/(-40)?
14
Let y = 4 + 13. Suppose 15 = n - 3*f, n + 5*f = y + 6. What is the lowest common multiple of 22 and n/(-99) + 400/22?
198
Let c(d) = -9*d**2 - d. Let p be 4/1*1/(-2). Let o be c(p). Calculate the least common multiple of 3 and o/(-7) + 4/28.
15
Let l be 1/(-6) + 46/(-12). Let g(m) = -17*m. Calculate the least common multiple of g(l) and 14.
476
Let u(z) = z**3 + z**2 + z + 192. Let w be u(0). Suppose m - w = -3*m. Find the common denominator of 8/m - (-134)/(-24) and -87/20.
60
Let v = 13303/6 - 2211. Let w = 119624/21 - 5694. What is the common denominator of w and v?
