6) - -1. Let q = a + -5401. Calculate the common denominator of q and 65/6.
6
Find the common denominator of 103/20 and 1357/(-990) - (-2)/11.
180
Let s = 39 + -33. Suppose -s = 6*o - 30. What is the lowest common multiple of 22 and 3 - (-2 + 5 - o)?
44
Let r = -2325257/426660 + -2/21333. Calculate the common denominator of 52568/(-4032) + 13 + (-1)/7 and r.
360
Suppose 0 = -5*k + 2*k - 90. Let b = -29 - k. What is the smallest common multiple of 9 and b?
9
Let t(j) = -j + 7. Let s be t(3). Suppose 0 = -5*y + s*n + 2, 6 = 4*y + 4*n - 5*n. What is the least common multiple of 55 and y?
110
Suppose -68 - 124 = -4*y. Let h = 74 - y. What is the lowest common multiple of 10 and h?
130
Suppose -5*m = s - 91, -4*s + 19*m = 20*m - 326. Calculate the least common multiple of 7 and s.
567
Let k be 6/24 + 2747/4. Suppose -4*u + k = -u. Find the common denominator of u/36 + (-8)/(-36) and -29/4.
12
Suppose -5*c - 25 = -10. Let z = 14877/20 + -744. Find the common denominator of c/9*(-1026)/120 and z.
20
Let w(v) = -v + 46. What is the lowest common multiple of w(34) and 3?
12
Let w(f) = 10*f. Let z be w(1). Let r = 12 - z. Suppose -r*b + 5*b - 3 = 0. Calculate the lowest common multiple of 5 and b.
5
Let u(h) = 82*h - 8. Let s be u(-4). Find the common denominator of -2*(-2)/(-6) - 707/s and 91/68.
272
Let x(n) = 7*n**2 - 7*n + 5. Let g be x(1). Suppose 2*z = -g*c + 90, 0 = -5*c + 5*z + 59 - 4. What is the smallest common multiple of c and 64?
64
Let k = 766 + -748. What is the least common multiple of k and 114?
342
Suppose 0 = 48*i - 52*i - 24. Let z(r) = -4*r - 10. Calculate the lowest common multiple of -1*5/((-10)/44) and z(i).
154
Let k = -604/5 - -4907/40. What is the common denominator of k and ((-2)/(-24))/((-2)/26)?
24
Let k = 161 + -463/3. What is the common denominator of k and 16/7?
21
Let g(k) = 5*k - 3. Let f be 1 + 3 - 128/(-8). Suppose 5 = 4*n - 3*n, -5*r - 2*n + f = 0. What is the lowest common multiple of g(7) and r?
32
Let u = -30 - -28. Find the common denominator of 57/16 and 2/(-12)*(-238)/u.
48
Suppose 11*h - 28*h - 289 = 0. Let m be (15692/(-22))/(1/4). Let o = m + 2849. What is the common denominator of o and h?
11
Let b be 1877012/(-12)*(-2 - (-55)/26). Let t = 54140/3 + b. What is the common denominator of t and -93/20?
780
Suppose 4*s + 5*x = 596, -s + 3*x + x + 170 = 0. Find the common denominator of ((-292)/(-30))/((-16)/12) and (-2)/4 + s/8.
20
Suppose 0 = -5*w + 4*z - 2*z + 26, -3*w + 10 = -4*z. Let t be 6 + (-7 - 2) - 1*-4. Calculate the least common multiple of 12 and t/2 - (-141)/w.
24
Find the common denominator of 37/6 and (5 - (-335)/(-30))*-4.
6
Suppose 0 = 2*h + 6, g = 3*h - 0*h + 98608. Let u = g - 286646/3. Let d = 3025 - u. Find the common denominator of d and 38.
3
Let s be (4/(-8))/(2/8) - -1. Find the common denominator of ((-173)/10 + s)/((-18)/15) and 51/4.
4
Let i(b) = 4*b**2 + 1. Let a be i(-1). Suppose -2*n - 3 = -a. Let z = -5297 + 5298. What is the least common multiple of z and n?
1
Let i(r) = 3*r**2 - 3*r + 44. Calculate the lowest common multiple of 190 and i(4).
1520
What is the common denominator of (-206)/696 - 2/(-8) and (2 - (-24)/(-10))*330/24 + 5?
174
What is the smallest common multiple of 4/(-5)*(-275)/22 and 189?
1890
Suppose 4*u - 44 = 4*p, 2*p - 23 = 4*u - 5*u. Calculate the least common multiple of 20 and u.
60
Let u be ((-3)/(60/8))/((-2)/(-160)). Find the common denominator of u/(-6) - (-8)/(-16) and -61/3.
6
Let d = 136 + -39. Suppose -6*g - d = -7*g. Suppose -47 = -4*s + 5*f, -4*s + f = 6*f - g. What is the smallest common multiple of 20 and s?
180
Let u = -3870381/130 + 59541/2. Let h = 447/130 - u. Find the common denominator of h and 53/22.
110
Let j = -32636187161/577 - -56561864. Let x = -1/1154 + j. Let m = -28107/2330 - -38/233. Calculate the common denominator of m and x.
10
Let v = 12 + -4. Let h(o) = -o**2 + 8*o - 10. Let j be h(7). Let u = 13 + j. What is the least common multiple of v and u?
40
Let u = 4923 - 58991/12. What is the common denominator of u and -69/80?
240
Let m(f) = 2*f**2. Let s be m(1). Let y(a) = 3*a**2 - a + 1. What is the smallest common multiple of y(s) and 8?
88
Let g = 34 + -35. Calculate the common denominator of ((-280)/25)/g - 2 and -4/5.
5
Let z(g) = 53*g. Suppose 5*w - 17 = 3. Let n be z(w). Calculate the common denominator of (n/(-36))/(-1) - -1 and 17/2.
18
Suppose 0*g + 3*g - 59 = 2*k, -g - 4*k + 43 = 0. Let r = g + -21. Calculate the smallest common multiple of r/(6/(-9)) - -23 and 8.
40
Let w be (624/20)/((-3)/(-10)). Let y be 1/(-2*(-2)/(-40)). Calculate the common denominator of w/y - 4/(-8) and 121/10.
10
Let q = -113549478/162655 - -9/65062. Let b = 697 + q. Find the common denominator of 0 + (-4)/(-36) + 382/(-36) and b.
10
Let c = -552423/26 - -21251. Find the common denominator of c and 285/(-12) - 2*(-6)/24*7.
52
Let u = -60 + 32. Let m = 44 + u. Calculate the common denominator of -65/4 and (-3)/m - 9/(-18).
16
Let u(r) = r**3 - 7*r**2 + 8*r - 2. Let f be 106/10 + (-4)/(-10). Let j = 17 - f. What is the smallest common multiple of u(6) and j?
30
Let n = -35578/13 - -2735. Calculate the common denominator of n and 40/13.
13
Suppose -8*b + 438 = -122. What is the smallest common multiple of 49 and b?
490
Let a = 2106 - 2070. Calculate the least common multiple of a and 222.
1332
Suppose -5*f + 42 - 17 = 0. Calculate the lowest common multiple of f and 2.
10
Let k(r) = -116*r - 12. Let b be k(5). Let m = b + 277. Calculate the common denominator of (-1914)/m - (-1)/(-7) and 61/3.
15
Let b = -343799/20 + 17196. What is the common denominator of b and -127/36?
180
Suppose t = -0*t + 6. Let r(v) = 12*v**2 + 7*v - 6. Let g be r(t). Calculate the smallest common multiple of 6/(-33) - g/(-33) and 6.
42
Calculate the smallest common multiple of 18/(((-3)/2)/((-27)/36)) and 27.
27
Suppose 5*c - 2*u = -0*u - 37, -c - 3*u = 21. Let l = 6 + c. Calculate the lowest common multiple of ((-4)/l)/(4/60) and 8.
40
Let d be 1 + (1 - -1) - -5. Suppose 2*i = -d*i + 10. Calculate the smallest common multiple of 11 and i.
11
Let l = 10228 + -501084/49. Let a = 4951/490 + l. Find the common denominator of -37/2 and a.
10
Suppose -3*w - 2*u = w - 30, -w + 5*u = 9. Suppose 161*p - 19*p = 2556. What is the least common multiple of w and p?
18
Let n(y) = -y**2 + 15*y + 16. Let s be n(16). What is the common denominator of 91/18 and (-721)/(-210) + s + -2?
90
Let p = 34 + -20. Suppose 0 = -3*c - 9, -4*c = 6*b - 5*b + 2. What is the lowest common multiple of b and p?
70
Suppose 0 = -2*j - 33 + 31. Let y be j/250*514 + 2. Let p = y + 13973/1750. What is the common denominator of p and 57/4?
28
Let d = 7862/31997 + 238811130181/191982. Let r = -1247161 + d. Let v = 3252 + r. Calculate the common denominator of 71/16 and v.
48
Calculate the least common multiple of 9 and 468/45 - 10 - (-88)/5.
18
Suppose 772 = -34*x + 1996. Calculate the smallest common multiple of 816 and x.
2448
Suppose k + 5*b + 1 = -3, 3*k - 7 = 4*b. Let m be -66*(1 + k + -3). Suppose -122 - m = 4*y. Find the common denominator of 77/10 and y.
10
Suppose o + 56 = 5*k - 3*o, o = -5*k + 36. Suppose -k*t + 0*t = -192. What is the least common multiple of 27 and t?
216
Let p = 26 - 12. What is the lowest common multiple of -2*(-13)/2*2 and (24/p)/(27/126)?
104
Calculate the common denominator of 87/8 and 1*(-2)/10 - (-454)/220.
88
Suppose 0 = 2*q - 584 + 204. Calculate the least common multiple of q and -6 - (-4 + 2) - 56/(-7).
380
What is the common denominator of -7/9 and (-25776)/21216 + 12/(-26)?
306
Let u = 2/83005 - 11371781/3984240. What is the common denominator of -59/30 and u?
240
Suppose 3*f + 3*j - 24 = 0, 2*f + 0*j - 2*j - 4 = 0. Suppose -9 = 4*s - 98 - 15. Calculate the lowest common multiple of f and s.
130
Let i(g) = 9*g**2 + 3*g + 1. What is the least common multiple of 7 and i(3)?
91
Let z = 1 + 29. Suppose g = 6*g - z. Suppose 2*l = -3*i + g*l + 23, -3*i = -5*l - 25. What is the lowest common multiple of 9 and i?
45
Calculate the least common multiple of 54 and -1 - (5/(-3))/((-1)/(-33)).
54
Suppose 21 + 7 = -7*u. What is the lowest common multiple of (u/(-8))/1*48 and 44?
264
Let z = -47 + 56. What is the least common multiple of (-12)/(-20) + (-68)/(-30)*z and 9?
63
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