0
Let x = 330803/24 + -13789. Calculate the common denominator of x and 95/21*(-12)/(-8).
168
Suppose 0 = -5*x - 5*q + 60, 11*x + 3*q + 44 = 13*x. What is the lowest common multiple of 112 and x?
112
Suppose -2*v = -7 + 3. Let x = 12 - v. Let h(a) = a**3 - 9*a**2 - 9*a + 2. Calculate the smallest common multiple of 6 and h(x).
12
Suppose 0 = -7*k + 14. What is the common denominator of (k/(-4))/(-1) + (-366)/(-48) and -85/4?
8
Find the common denominator of 6/(-12)*71/(-2) and 742/(-132) - (-22)/33.
44
Find the common denominator of -103/36 and 3/(-27) + 3700/7380.
1476
Let u be -5 - (3 + 465/(-5)). Suppose 6 + 7 = k + p, -p = 5*k - u. What is the smallest common multiple of 11 and k?
198
Let w = -414 + 432. What is the least common multiple of w and (-2)/(-3) - (-50)/6?
18
Let g(c) = -c**3 + 5*c**2. Let i be g(5). Let a be (i - -1)/((-6)/(-12)). Calculate the smallest common multiple of (-7 + 2)*a/(-2) and 5.
5
What is the common denominator of 13/20*(-4 + -3 + 0) and 25 + -25 + 94/8?
20
Let t be (8/6)/(-1 - 21/(-18)). Suppose 4*v + t = y, y = 4*y - 5*v - 52. Calculate the lowest common multiple of 36 and y.
72
Let v = 2095/4 - 507. Let p = -28522/2805 + 3/1870. Find the common denominator of p and v.
12
Suppose -3*z + 4*z + 8 = 0. Let d = z - -16. Calculate the smallest common multiple of d and (((-100)/10)/30)/(-3 - (-178)/60).
40
Suppose 0*g = -2*g + 30. Calculate the common denominator of 35/24 and (g/80)/(18/(-20)).
24
Let j = -26 - -28. Let w(h) = 2 + h - 3*h**3 - 2*h - 1 - 19*h**2 + 17*h**j. What is the least common multiple of w(-2) and 1?
19
Let c = 126347/12 - 10536. Let x = -378677/24 - -15775. Find the common denominator of x and c.
24
Let v = 468 + -447. What is the lowest common multiple of 21 and v?
21
Let p = -24 + -55. Let h = p + 163/2. Find the common denominator of h and -2 + (-32 - (-4 + 2)).
2
Let i = 1 + 9. Suppose 2*y - 6 = -k + 1, 8 = 4*y + 4*k. Suppose 5*p = 4*m - 22, 23 = y*m - p + 6. Calculate the least common multiple of m and i.
30
Let g(i) = -11*i**2 - i + 2. Let s be g(-2). Let a be 2*((-8)/(-20))/(9/(-45)). Find the common denominator of a/s*-81*1 and -73/10.
10
Let o(v) = 7*v - 25. Let k(z) = -3*z + 7. Let q be k(0). Calculate the smallest common multiple of 27 and o(q).
216
Calculate the common denominator of -23/8 and (-165)/(-723)*(-13)/26.
1928
Suppose -3*y - 6*o = -4*o - 14, -5*y - 2*o + 22 = 0. Suppose -y*w + 75 = -5*k, k - 3 + 2 = 0. Calculate the lowest common multiple of w and 138.
1380
Let g = -453 - -460. Calculate the least common multiple of g and 68.
476
Let y = -72 + 42. Suppose 4*s = q + 49, -5*s + 225 = -4*q + 7. Calculate the common denominator of q/(-3)*(-5)/y and -21/10.
30
Calculate the smallest common multiple of 2/(-12) + (-3724)/(-168) and (-6)/4*(-1 - 3).
66
Let c = 935 + -891. Calculate the lowest common multiple of 172 and c.
1892
Let s = 10 - 7. Suppose -b + 5 + s = 0. Calculate the least common multiple of b and 3.
24
Let v = -34133/6108 + 5/1018. What is the common denominator of v and 7/96?
96
Let r = 53/186 + -5533/651. Calculate the common denominator of r and ((-26)/(-30)*2)/((-8)/10).
42
Find the common denominator of -77/130 and 17/((-663)/(-36)) - 12/16.
260
Let p(n) = -2*n - 2. Let b = 11 + 36. Let x = -43 + b. Calculate the smallest common multiple of p(-2) and x.
4
Let v(h) = -44*h + 6. Let q be v(-7). Let k = q + -3773/12. Calculate the common denominator of 4 + 95/12 + -4 and k.
12
Suppose 0 = -13*n + 9*n - 120. Let v be (808/n)/(210/100). Let x = v + 209/18. Calculate the common denominator of 93/20 and x.
140
Let v = 4115/678 - -11/113. Calculate the common denominator of -115/102 and v.
102
Let g = 45427 - 87671/2. Let t = -38059/24 + g. What is the common denominator of -7/15 and t?
120
Let b be 12/(-15) + 96/20. Suppose -3*f = -0*f + i - 7, -10 = -2*f + 2*i. Calculate the lowest common multiple of 20 - (b + 0/f) and 14.
112
Let g = -356423/468 + 9940/13. Calculate the common denominator of -161/90 and g.
180
Suppose -d - 3*d + 2*m + 3012 = 0, 0 = 5*d + 4*m - 3778. What is the smallest common multiple of d and 14?
5278
Suppose 10*f - 20*f - 1150 = 0. Let j = f - -117. Calculate the smallest common multiple of j and 12.
12
Let x = 651 - 623. Calculate the lowest common multiple of 266 and x.
532
Find the common denominator of -41/120 and 445/(-60) + 7/(-6).
120
Let u be 3820/(-3) - 36/54. Let l = u + 7685/6. Calculate the common denominator of l and 39/22.
66
Suppose -2*y + 12 = 2*i, 4*y + 0*i - 21 = -i. Suppose -a + 56 = 5*o, 0*a - 8 = o + y*a. What is the lowest common multiple of 2/(-9) - (-40)/18 and o?
12
Let a(o) = -o**3 - 12*o**2 - 14*o - 23. What is the smallest common multiple of a(-11) and 3?
30
Let u be (-16)/(-2 + 24/10). Let m = -41/19 + 365/266. Find the common denominator of (-46)/(-6)*((-6)/u)/(-1) and m.
140
Find the common denominator of -20*(-1)/10*285/3933 and 1/8.
552
Calculate the smallest common multiple of ((-18)/10)/(54/(-720)) and 9.
72
Let p(r) = r + 2. Let w = -29 - -31. Calculate the lowest common multiple of 10 and p(w).
20
Suppose -8*q + 24252 = -6*q + o, 4*q - 48498 = o. Let a = q + -218357/18. What is the common denominator of a and -101/8?
72
Calculate the common denominator of (411/(-4))/(1890/(-12)) and -1/22.
2310
What is the common denominator of -7/4 and (-707)/(-63)*((-9)/3)/30?
180
Let k = 449 + -344. Calculate the least common multiple of 140 and k.
420
Let w(v) = v**3 - 5*v**2 + 5*v - 5. Let j be w(4). What is the common denominator of 554/(-140) - j/(-7) and 39/2?
10
Let o = 82 + -70. What is the common denominator of -61/18 and ((-9)/12)/(o/154)?
72
What is the lowest common multiple of 20 - (10 - 7 - 4) and 42?
42
Let z = 5 - 3. Find the common denominator of 195/z*1/33 and (-38)/36 + -5*1/(-15).
198
Let h be (3/6)/((-5)/2303420). Let r = h + 4589794691/19926. Let z = r - -79151/9963. Calculate the common denominator of z and -37/2.
18
Let m(j) = j - 19*j + 5*j + 2 - 10*j. Let b be m(-5). What is the smallest common multiple of (-2)/(-10) - b/(-65) and 10?
10
Let p = 97871/4 + -383455/16. Let q = p - 501. Find the common denominator of q and (-2)/18*(-570)/12.
144
Let u = -835 + 847. Calculate the lowest common multiple of u and (-2)/(-6) - (-5)/3.
12
Let l(n) = n**2 - n + 14. Let g(k) = k + 1. Let x(o) = -6*g(o) + l(o). What is the smallest common multiple of 22 and x(6)?
22
Let c be (6 - -1) + -1 + -6 + 4. Suppose 38 = c*f - 146. Calculate the smallest common multiple of f and 2.
46
Let j be 36019*(3/18 - 0) + -1. Let s = j - 6019. What is the common denominator of s and (119 + 3)*(-1)/4?
6
Suppose 253 = -7*t + 3823. Calculate the least common multiple of 6 and t.
510
Let i be (12/969)/((-2)/(-9)). Let b = 10534/3553 - i. Let x = 361/7 + -3747/77. Find the common denominator of x and b.
11
Let k = 16/2979 - -159553/59580. Calculate the common denominator of (-1810)/(-900) + 16/18 and k.
60
Calculate the common denominator of -73/45 and -3 + (10592/(-270))/(-16).
135
Suppose 0 = h + 4*f - 332 + 74, -4*h + 5*f = -927. Calculate the smallest common multiple of h and 136.
952
Let n = 98713/12 + -8221. Find the common denominator of n and 31/36.
36
Let f(a) = -a + 1. Let x be f(3). Let b(g) = 53*g - 944. Calculate the least common multiple of b(18) and 472/18 - x/(-9).
130
Let l = 1163 + -911. Calculate the least common multiple of 476 and l.
4284
Find the common denominator of (7 + -2)/(0 + 2) and 2*3 - (-15246)/(-1320).
20
Suppose -25*h + 17*h + 120 = 0. Let w(l) = -7*l - 3. What is the least common multiple of h and w(-3)?
90
Let k be 0 - (-4 + (-80385)/1550). Let a = k + -1400/31. Find the common denominator of a and -93/8.
40
Let l = -34243451/10 + 3431121. Let i = -6785 + l. What is the common denominator of i and -31/10?
10
Suppose -z = -3*z + 40. Let t(a) = 4*a - 10. Let g be t(3). Suppose -52 = -2*d - 4*i, g*i + 3*i - 20 = 0. Calculate the least common multiple of d and z.
180
Let v be (223332/(-10) - 0)/(27/(-6)). Let z = 4957 - v. What is the common denominator of z and 17/12?
60
Calculate the common denominator of 81/8 and 74/56 - (2 + (6 - 7)).
56
Suppose -3*p - 6 = 0, 0*o + 4*o - 5*p - 50 = 0. Calculate the common denominator of 23/18 and (-2)/o - 798/(-1540).
198
Let b(k) = k**2 - 13*k + 52. Let i be b(