64
Let x = 26301511/1105486 + 82/14939. Let c = x - 11/37. What is the common denominator of c and (18/4)/((-4)/6)?
4
Find the common denominator of 58/4*4/(-28) and (-136)/(-168) - 4/(-48).
28
What is the common denominator of 54/(-40) + -2 + 1 and (5*(-2)/(-125))/(272/(-595))?
40
Let j = 2811191/4 + -503905949/717. Find the common denominator of 52/15 and j.
14340
Let q(t) = t**2 + 18*t + 60. Let g = -122 + 107. Let w be q(g). What is the common denominator of -55/4 and (-6)/w + 108/(-80)?
4
What is the common denominator of 8/3*81/(-135) and (-1)/(-2) - 973/(-126)?
45
Let h(i) = i**3 - 14*i**2 + 52*i - 20. Calculate the least common multiple of 70 and h(6).
140
Let d = 135/4 + -1924/57. What is the common denominator of d and 125/18?
684
Let l be 2 + 2 + -4 + -3900. Let j = l + -4688. Calculate the common denominator of ((-2)/(-10))/(7 - j/(-1180)) and 117/20.
820
What is the smallest common multiple of 16 and (-56)/8*(-96)/84?
16
Let i(m) = 15*m - 5. Let a = 1946 - 1936. Calculate the lowest common multiple of i(9) and a.
130
Suppose -r - 31 = -5*o, r = 5*o + 6*r - 25. Suppose 0 = 101*y - 106*y + 3*d + 84, -4 = -3*y - 4*d. Calculate the lowest common multiple of y and o.
12
Let b = 36 + -28. Let h be (-4)/(-2) - (-460)/b. Let f = -1303/22 + h. What is the common denominator of f and 45/8?
88
Let k(d) = -d**2 + 13*d - 76. Calculate the common denominator of k(10) and (-2)/46*(-95)/2.
46
Let u = -1593307/30 - -53115. Let f be 2*8/(-2) - -2. What is the common denominator of u and (-1)/6*f/(-10)?
30
Calculate the common denominator of 85/6 and (18/(-4752))/(9/(-1710)).
132
Suppose 8766*o - 8745*o = 16275. Calculate the least common multiple of o and 45.
6975
Let o = 3732 + -2060. Suppose 0 = -32*w + 51*w - o. Calculate the smallest common multiple of w and 9.
792
Calculate the least common multiple of ((-86789)/(-236))/(-5*(-2)/160) and 12.
17652
Suppose 0*f - f = 5. Let s be (133/(-38))/((-3)/6). What is the lowest common multiple of ((-1)/(f/2))/(s/175) and 6?
30
Calculate the common denominator of -79/120 and ((-60)/18336)/((189/350)/(-9)).
22920
Let p = -4742/17 + 279. Let z = -27/119 - p. Find the common denominator of z and (2/12)/((-20)/12).
70
Suppose 4*o = 5*p + 277, 8 = p - o + 63. Let s = 69 + p. Calculate the common denominator of (4/48)/(s/392) and 25/144.
144
Let v = -108607/77322 - 2/12887. Find the common denominator of 62/213 and v.
2982
Let y(p) = 9*p - 43. Let f be -6 + 0 - 1*-13. Calculate the least common multiple of 38 and y(f).
380
Let p(r) = 7*r**2 + 3*r + 1. Let g be p(-3). Suppose -45 = -4*u + g. Calculate the least common multiple of (7 - 2)*(-248)/(-620)*(2 + 0) and u.
100
Let j(b) = -15*b**2 + 5*b**3 + 19*b**2 - 1 - 2*b**3 + 3*b. Let o be j(-3). What is the lowest common multiple of 38/10 + (-11)/o and 11?
44
Let h = 13218 - 12291. What is the least common multiple of h and 6?
1854
Let d be 5*45/(-50)*2/(-3). Suppose 37 = 5*w - b, d*w + 3*b = 2*w + 17. What is the smallest common multiple of 70 and w?
280
Let r(k) = k**2 - 90*k + 1001. Calculate the least common multiple of r(11) and 138.
3036
Let w = 27312805/8 - 3409176. Suppose -9836 = 2*z + 2*l, -5*z + 8*l - 12*l = 24584. Let t = w + z. What is the common denominator of -83/20 and t?
40
Let g = 1035601/240 - 4315. Find the common denominator of g and 61/168.
1680
What is the common denominator of 57/230 and 626 + -622 - (-2587)/(-680)?
15640
Let r be 237682808/(-17424) + (-2)/18. Let a(h) = 506*h**3 + h**2 - 3*h. Let b be a(-3). Let v = r - b. Calculate the common denominator of v and -37/26.
286
Let o = 419/2 - 182. Let u be (-54)/(-18) - 4353/(-91). Let h = 750/13 - u. Find the common denominator of h and o.
14
Let y(x) = x**2 + x + 3. Suppose 4*b + 77 = -3*r, -r = -2*b + b + 21. Let i(p) = p**3 + 23*p**2 - 3*p - 64. What is the least common multiple of y(0) and i(r)?
15
Calculate the common denominator of 2375/25*((-3)/(-12) + (-2)/9) and 7/495.
1980
Let s = 11071/123 + -90. Let f = -1883/369 - s. Calculate the common denominator of f and 71/6.
18
Let w = -744 - -749. Suppose 0*b - w*b - 61 = -2*j, 3*j - b - 59 = 0. What is the least common multiple of 48 and j?
144
Let z = -78 + 179. Suppose -3*t + z - 23 = 3*m, t = -3*m + 34. What is the smallest common multiple of 152 and t?
1672
Let j(y) = 196*y**2 - 58*y - 291. What is the smallest common multiple of j(-6) and 21?
49791
Suppose 3*a = -3*a + 30. Suppose -3*n = p - 16, -p = n + 4*n - 26. Suppose 3*w + 3*s - 74 = -26, 0 = s - n. What is the smallest common multiple of w and a?
55
Suppose 18*l - 48 - 252 = 38*l. Calculate the common denominator of (-32)/40*43/4 and l.
5
Let j = 21689/9 + -2440. Let h = 149/18 + j. Let g = 87047/12738 - 2/6369. Calculate the common denominator of h and g.
6
Suppose -860*k + 841*k + 1653 = 0. Suppose r = -3*r - i + 41, 10 = 2*i. What is the least common multiple of r and k?
261
Let t(l) = -16*l - 219. Let a be t(-14). What is the smallest common multiple of (-4)/(-2) + -1 + 19 and 8*(-3 + a) - (10 + -12)?
180
Let b be (45/3)/(6/(-4)). What is the common denominator of (-1 + -5 - -5)/(-8 + -1) and (b/3)/5*(-220)/(-24)?
9
Let l(h) = -48*h**2 - 154*h + 4. What is the lowest common multiple of l(-3) and 1785?
3570
Let b = 8675 + -8556. What is the smallest common multiple of 170 and b?
1190
Suppose -8*c - 4904 = -11*c - 5*s, 4*c + 5*s - 6532 = 0. What is the least common multiple of 1332 and c?
14652
Suppose 5*p = -2*w - w - 234, 147 = -3*p - 4*w. Let g = -38 - p. Let c = 5 + 2. Calculate the least common multiple of c and g.
7
Let q = 808 - 571. Find the common denominator of q/(-6)*(-3)/42 and 27/20.
140
Let u be (1 - 4/8)*(22 + -4). Suppose 0 = u*i + 10*i - 76. Calculate the least common multiple of i and 8.
8
Calculate the common denominator of 3/(-2) + (-10)/(960/(-644)) and (-1)/((-34)/(-4)) - 1748/(-1275).
600
Let x(t) = 52*t + 10182. Calculate the least common multiple of x(-195) and 327.
4578
Let f(o) = -o**3 - 6*o**2 + 4*o. Let i = 5580 + -5578. What is the lowest common multiple of f(-7) and i?
42
What is the common denominator of 95/3014 and 59/9*54/72?
18084
Suppose 0 = -4*p + 5*s + 3210, -3*p - 5*s = 338 - 2728. Calculate the smallest common multiple of 900 and p.
7200
Let m = -79284475456979/3775013790 - -3/125833793. Let v = m - -21000. Calculate the common denominator of 53/24 and v.
120
Let k(l) = -l**2 + 6*l - 2. Let o be k(6). Let p = -10656/31 - -128089/372. Find the common denominator of p and o/6 + 417/(-18).
12
Let x = 70 - -42. Let s = 23290 - 23278. Calculate the smallest common multiple of s and x.
336
Suppose -2*t - 2 = 2*q, q + 2*t - 5*t - 7 = 0. Suppose 4*o - 239 = o + r, 0 = r - q. Let w = 96 - o. Calculate the least common multiple of w and 2.
16
Let v = 12/2233 - 7367/1786400. Find the common denominator of v and 103/250.
4000
Let n be 5/(-7 + 32)*6015. Suppose 21*v + 321 = n. Calculate the lowest common multiple of 105 and v.
210
Find the common denominator of ((-51954)/980 - -19) + 35 and (-1 - -1) + 56/(-5).
70
Let x(b) = 6*b**2 + 12*b + 21. What is the least common multiple of x(6) and 18?
1854
Suppose 4*s - 5 = -5*j, 3*s + 4*j = 2*s + 4. Suppose -10*v + 420 = -s*v. Calculate the least common multiple of 5 and ((-3)/(-2))/(7/v*1).
45
Let q be ((-105)/25 - -4) + (-9455)/(-25760). Let w = q + -15/644. Find the common denominator of -81/40 and w.
160
Let w = 1183/5346 - 13/5346. What is the common denominator of 67/432 and w?
4752
Calculate the lowest common multiple of (-9)/(-3) + 14/2 and (-126)/(-33) + ((-8)/(-22))/2.
20
Let j = 110617/561 + -2186/11. Calculate the common denominator of -35/417 and j.
7089
Let y = -18 + 93. Let h = 23/40 + -1049/120. What is the common denominator of 1 + y/(-12) + 3 and h?
12
Suppose -10*w + 15 = -25. Find the common denominator of -12/11 and ((-728)/36)/((-9)/(9/w)).
198
Suppose -40*g = 1681 - 19081. Suppose -93 - g = -16*o. What is the smallest common multiple of 6 and o?
66
Calculate the least common multiple of 5616/256 - (-1)/16 and 44.
44
Suppose 0 = 4*y + 3*m - 1340, -184*m = -4*y - 189*m + 1340. What is the least common multiple of 536 and y?
2680
Suppose -1 = -3*w + 8. Let r = -50000 - -50005. Calculate the least common multiple of w and r.
15
Let i = 12920 - 12642. Calculate the least common mu