19/558 and g.
5580
Suppose -28 = -7*x + 7. Calculate the common denominator of (38/18)/((-4)/((-120)/(-5))) and x*58/(-108)*(-4)/20.
54
Suppose z - 7 + 1 = 0. What is the common denominator of -2 - (z/2 + 1/(-10)) and (1 + (-104)/80)/(1/24)?
10
Let g be (-1)/(-2)*(18 + -18). Suppose -d + 5*b + 101 = g, 3*d = -b + 79 + 144. What is the least common multiple of d and 27/((-4)/(-24)*9)?
684
Let n = -10 + 16. Suppose -14*f = -0*f + 4018. Let q = 379 + f. What is the lowest common multiple of q and n?
276
Suppose 0 = 36*b + 2709 - 7749. Calculate the smallest common multiple of b and 300.
2100
Let n(b) = b**2 + 5*b + 8. Let i be n(-4). Suppose 3*y = i*x + 5, 10*x - 13*x + 3 = 0. What is the smallest common multiple of y and 138?
138
What is the common denominator of 3218/(-21180) + 10*4/400 and 109/12?
4236
Suppose -811 - 199 = -2*d + 2*w, 2*d - 1009 = w. What is the common denominator of (-2)/9 - 3596/d and (4/(-6) - 1955/(-210)) + -1?
14
Let o = 5 - 1. Suppose 4*s = -m - o*m + 2393, -968 = -2*m + 2*s. Let i = m - 5262/11. Calculate the common denominator of i and 101/4.
44
Let y = -2514 - -2524. Calculate the lowest common multiple of y and 1216.
6080
Let l = -233/22 + 9. Let v be (-30)/(-45)*(-9)/(-2). Calculate the common denominator of (-16)/60*(-40)/v and l.
198
Let p = 3177361/80 + -39716. Calculate the common denominator of ((-1200)/700 + 3764/2016)/((-2)/(-15)) and p.
240
Suppose 0 = 4*u + 2*w - 8, 2*u + u + 5*w = -8. Suppose 7*l + u = 67. Calculate the lowest common multiple of 3 and l.
9
Let b be ((-23)/(552/(-80)))/(6/3491). Let c = -1944 + b. Find the common denominator of c and 62/24*12/21.
63
Suppose -4*a + 228 = -7*j - 5*j, -3*a - 3*j = -123. Let m(u) = -u**3 - 8*u**2 - 5*u - 7. What is the least common multiple of a and m(-8)?
495
Let n(m) = -m**3 - 36*m**2 + 117*m + 3. Let b be n(-39). Suppose 123 = b*d - 0*r + 3*r, -d + 29 = 4*r. What is the least common multiple of 55 and d?
495
Let k = 350103/28 + -12507. Find the common denominator of k and 0 + -2 - (-284)/16.
28
Let r(s) = -s**2 + 6*s - 21. Suppose l + 0*m + m = 5, 5*m = 3*l - 47. Let y = 12484/5 + -2506. Find the common denominator of r(l) and y.
5
Suppose 110*i - 592 + 193 - 701 = 0. What is the smallest common multiple of i and 9394?
46970
Calculate the common denominator of 23/228 and 19024/(-10944) + 1 + 0 + 8/18.
228
Let b(t) = 4066*t + 12. Let y be b(4). Let s = y + -293069/18. Let n = -226987/40 + 5677. What is the common denominator of n and s?
360
Let w = -6 + 26. Let x = -64195 + 64283. Calculate the least common multiple of w and x.
440
Let h = -7447673437/30 - -248283445. Let p = h + -27668. Find the common denominator of p and ((-2)/(-30))/(2/44).
30
Let c = -6609 + 7068. Calculate the smallest common multiple of c and 459.
459
Let h = 79 + -73. Suppose z + 21 = 3*z + 5*i, 2*i = h. Calculate the common denominator of 113/24 and (-1)/z + (-56)/196.
168
Let k = 119986 - 119982. Suppose -j + 2*j - 161 = 3*n, -3*j + 443 = -n. Calculate the smallest common multiple of k and j.
292
Let x(w) = 600*w**2 + 104*w - 104. What is the least common multiple of 60 and x(1)?
600
Calculate the common denominator of 43/192 and 3/9 - 591/105*185/444.
1344
Let q be (169826/(-61509))/(2/15*10). Let i = -2/2929 + q. Let v = 592045/24 - 24673. Calculate the common denominator of i and v.
168
What is the least common multiple of 891 and ((-326916)/5045)/((-2)/30 + 2/(-6))?
1782
Let o(m) = m**3 - 9*m**2 - 6*m - 30. Let i be o(14). Suppose 0 = 872*u - i*u - 432. What is the least common multiple of 64 and u?
576
Let x = 82 + 1001. Suppose x = 6*u + 147. What is the smallest common multiple of u and 18?
468
Let i(o) = -36*o**3 - 703*o**2 - 7*o + 108. What is the lowest common multiple of 10 and i(-20)?
35240
Let t = -21 - -36. Let d be (-10)/(-4)*24/t. Find the common denominator of 18/d*48/(-99) and -27/4.
44
Let k = -106973957/17416 + 42996/7. What is the common denominator of 71/1244 and k?
2488
Let x = -35830 + 10749023/300. Find the common denominator of x and -62/75.
300
Let y = 4/115 - 2384/2415. Let p(s) = 4*s - 180. Let v be p(0). What is the common denominator of y and -149*(-2)/v + 14/(-35)?
126
Calculate the common denominator of 101/254 and 1/((-109)/(-30) - (12 + 68/(-8))).
254
Calculate the common denominator of -38/161 and -14 + 25 + 1783/(-161).
161
What is the lowest common multiple of 5/(31/28 - 66/77) and 772?
3860
Find the common denominator of (1/(-40))/((-45)/3915) and 6/(-4)*(-406)/252.
120
Let t = 43096526827/9052 - 4760995. Calculate the common denominator of -25/16 and t.
36208
Suppose 5*u = o - 20, 4*o = -o - u - 4. Calculate the least common multiple of (-1 - o)/((-66)/1980) and 6.
30
Let q = -576/7 - -1495/14. Calculate the common denominator of q and -3 + -1 + (-415)/10.
2
Let y(t) = -415*t - 7. Let b be y(-6). Let d be (-3)/(-2*(-207951)/(-103944) + 4). Let i = d - b. Calculate the common denominator of i and -32/7.
7
Let l = -206041 + 206069. Let b = 114 - 70. Calculate the smallest common multiple of l and b.
308
Let g = -610657/36 - -16960. Let p = -21/461 + -68855/16596. What is the common denominator of g and p?
36
Let l = 53 - -1. Let j be (-2)/6 + 180/l. Find the common denominator of -62/21 and j/(2 - (-95)/2).
231
Suppose -21*p - 42*p + 7955 = -26*p. What is the lowest common multiple of 473 and p?
2365
Let l = -155 - -241. Suppose 3*m - 7*m = -2*p - l, -4*p + 12 = 0. Calculate the common denominator of m and -50/161.
161
Calculate the common denominator of (44942/(-1150) + 39)/(48/(-1390)) and 29/2780.
8340
Let y be (-564272)/2090 + (-8)/44. Let j = 67052 + -336599/5. Let h = y - j. Calculate the common denominator of h and -37/3.
57
Let p be 9/((-2700)/4910)*(392 + 0). Let s = p + 6420. What is the common denominator of s and (-74)/4*1/(-5)?
30
Let m be ((-177)/(-2))/((-48)/(-224)). Calculate the common denominator of -5/56 and m/(-56) + -4 + 3.
56
Let s = -25533/327778 - -25/317. What is the common denominator of -19/242 and s?
11374
Let i(x) = -x**3 + 29*x**2 + 43*x + 2. What is the lowest common multiple of i(30) and 4?
392
Suppose 0 = 14*x - 10*x - 1272. Suppose 189 + x = 13*p. Suppose 2*l - p = -3*t + l, -2*l + 6 = 0. What is the least common multiple of 21 and t?
84
Let f(y) = 3*y + 0*y + 7 - 2*y. Suppose 0 = o - 2, -40*s - 5*o - 44 = -42*s. What is the least common multiple of s and f(8)?
135
Let a be 4/2 - (14 + -1). What is the least common multiple of (-1)/(-3) - a/3 and 6*(-104)/132*-2 + (-66)/(-121)?
20
Let y = 161333/768495 - 3/7319. What is the common denominator of 37/15 and y?
105
Let k be 0/(2*(28/(-8))/(-7)). Suppose k = -j - 14 + 20. Calculate the least common multiple of 134 and j.
402
Let z = -1555 - 1356. Let q = 11733/4 + z. Find the common denominator of q and 63/58.
116
Let y(s) = s**2 - 2*s + 4. Let a be (-1 + (2 - 1))/3. Suppose a = 2*j - 7*j + 20. Calculate the smallest common multiple of 4 and y(j).
12
Let m(o) = -o**2 - 7*o - 4. Let y be m(-6). Suppose 4*i - 16 = -2*j - y*j, 8 = 5*i - j. Let s = 147120 + -147112. What is the lowest common multiple of i and s?
8
Let v(m) = -5*m + 120. Let a be v(24). Suppose 2*l + 5*q - 88 = 8*q, -5*l + 3*q + 202 = a. Calculate the lowest common multiple of 18 and l.
342
What is the common denominator of 29/360 and (-49)/((-343)/42) - (-1481)/(-252)?
2520
Suppose 1418 = 16*r - 774. Let z(s) = 29*s - 6. Let h be z(5). Suppose -r*j + h*j - 66 = 0. Calculate the smallest common multiple of 33 and j.
33
Let r(d) = 14*d - 86. Let q be r(6). Calculate the common denominator of 121/77 + 6/q and -27/10.
70
Let k = -9 - -15. Let s = -1387 + 1383. What is the lowest common multiple of -1 - ((-5 - (s - 0)) + -6) and k?
6
Let f = 203 + -154. Suppose -42 = -13*o + f. What is the lowest common multiple of 5 and o?
35
Suppose 79 + 66 = 29*x. Suppose -d - 22 + 69 = x*l, 0 = 3*l + 5*d - 37. Calculate the lowest common multiple of -2 - (-8*4 + 0) and l.
90
Suppose -2 = -o + 34. Calculate the common denominator of -1 - -5 - (-302)/(-20) and (o/(-14))/((-160)/1960).
10
Suppose -3*y = -32 + 26. Suppose -6*n + 4*x + 28 = -y*n, -2*n + 17 = x. Calculate the smallest common multiple of n and 44.
88
Let o(a) = 23*a**2 - 5*a + 2. Let g be o(1). Suppose -5*j + 1 - 9 = s, -5*s = -5*j - g. What is the common 