-102)/44)*1005/(-16650) and 83/4 + (-6)/(-3).
444
Let m = 350 + -309. Suppose -m*t = -43*t + 96. What is the least common multiple of ((-24)/32)/((-1)/8) and t?
48
Let x = 12350 + -12189. Calculate the smallest common multiple of 1748 and x.
12236
Let i be 12 + 1/(7/14). What is the common denominator of 71/20 and i/(-133) - 699/2565?
180
Let s = 6976/9 + -780. Calculate the common denominator of -67/904 and s.
8136
Suppose s = -11*s + 9628 + 2384. Calculate the least common multiple of s and 273.
3003
Suppose -790*x + 795*x = 4*k + 120, -2*x + 4*k + 48 = 0. Calculate the least common multiple of 162 and x.
648
Let z = 77 + -69. What is the lowest common multiple of z and (81/(-18))/((-18)/384)?
96
Let p(g) = -g**3 - 3*g**2 - 5*g - 43. Suppose -3*i + 4*s = 23, -5 = -4*i - 4*s - 17. Calculate the lowest common multiple of 88 and p(i).
352
Let z = -106/1163 - -1089967/104670. Let j = 137/9 - z. What is the common denominator of j and 1 + 134/(-4) + -1?
10
Let l = 2869 + -2976. Suppose 0 = -0*k + 2*k - 254. Let d = l + k. Calculate the smallest common multiple of d and 94.
940
Let x(h) = -497*h + 29. Let y be x(6). Let j = -47157/16 - y. Find the common denominator of 109/40 and j.
80
Suppose 3*j - 17 = 4*u, 2*u = -u - 5*j - 20. What is the smallest common multiple of (-2)/6 + u*114/(-9) and 9?
63
Suppose -139*l + 149*l = 1400 + 2310. Calculate the smallest common multiple of 15 and l.
5565
Let d = -4119 - -160723/39. What is the common denominator of d and 19/1962?
25506
Let z be (-20)/5 - (-4 - 1) - -222. Suppose h + 5*f - 45 = 0, -5*f = -5*h - 88 + z. What is the smallest common multiple of h and 1?
30
What is the common denominator of 37/414 and (-2 + (-1095)/(-405))*(-6)/(-8)?
828
Suppose 0 = 7*r - 10*r + 6132. Suppose 3*b = t + 1356, 0 = -5*b - t + 216 + r. Suppose -5*d + b = -98. What is the lowest common multiple of d and 10?
110
What is the lowest common multiple of 50 and 3090/(-1 + 2) - (378 - 388)?
3100
Suppose 0 = 8*o - 14 - 2. Let c be 2/((2 - -1)/(9/o)). Suppose -s = 2*f - 15, 28 = 4*f + c*s - 1. What is the smallest common multiple of 2 and f?
8
Let z(f) = -2*f + 4. Let v be z(5). Let b be (-31543)/21*(v - 36/(-8)). Let y = b - 2256. Calculate the common denominator of y and 99/26.
182
Let z be (-6)/(-3) - (0 - 257). Suppose 0 = -4*b + z - 83. Let f = -686496 - -686524. Calculate the least common multiple of b and f.
308
Let t = 9605664 - 16800306857/1749. Let i = -3/583 + t. What is the common denominator of i and 74/9?
99
Let z = -2222387/156 - -14247. Calculate the common denominator of z and 3 + (-138)/42 - 5/(3465/(-786)).
1716
Let a(t) = t**2 + 38*t + 138. Let g be a(-34). Suppose g*s = -24*s + 130. Calculate the lowest common multiple of 19 and s.
95
Let i = 13 + -19. Let a(u) = 2*u**2 - 9*u - 86. Calculate the lowest common multiple of a(i) and 10.
40
Suppose 3*d + 3 = 2*d, -4*w + d = -3363. Calculate the least common multiple of 147 and w.
5880
Let t = 238/3 - 179/6. Suppose -f = 3*i - 9, 6*f - 9*f - 5*i + 7 = 0. Find the common denominator of 4/(f/(-342)*246) and t.
82
Suppose 2*z = 59*z + 246 - 930. Calculate the lowest common multiple of z and (6/(-8))/(2/(-288)).
108
Find the common denominator of ((175/42)/25*-284)/((-40)/6) and 19/66.
330
Suppose v - 2*a - 14 = 0, -5*v - 2176*a = -2172*a - 28. What is the least common multiple of v and 194?
776
Suppose -2*p + 29 = 11. Let h(n) = 2*n - 1. Let x(o) = o + 1. Let s(f) = 6*h(f) + 3*x(f). What is the lowest common multiple of s(3) and p?
126
Suppose -1 = -t - 5. Let u be ((-10)/t)/(4/4696). Let d = -64521/22 + u. Find the common denominator of d and -5/18.
198
Let y(d) = -d**3 + 3*d**2 + 9*d + 17. Let x be y(6). Let w = -29 - x. Calculate the smallest common multiple of w and 28.
56
Suppose -4*s - 4*k + 68 = -0*k, 5*k + 55 = 2*s. Let f = -2450 - -2564. Calculate the smallest common multiple of s and f.
1140
Let x(l) = 13*l + 42. Let m be x(-4). Calculate the common denominator of (-29)/(-21) + m/(11 + -6) and 73/6.
42
Let r(t) = t + 2. Let f be r(1). Suppose f*l - 64 + 58 = 0. Calculate the smallest common multiple of 68 and 2/2*(-2 + l*8).
476
Let t = -15 + 21. Suppose 6*m - 2480 = -3*m - 11*m. What is the lowest common multiple of m and t?
372
Suppose -9*y + 267 = -4*g, -31*y + 24 = -29*y + 5*g. What is the smallest common multiple of y and 9168?
82512
Let b = -5 - -18. Suppose -5*r - 11 = 2*t + b, 2*r - 5*t = 2. What is the lowest common multiple of 3 and (r/(-4))/(4/32)?
24
Suppose -105*q = -108*q + 90. What is the smallest common multiple of 40 and q?
120
What is the common denominator of ((-2997)/(-1836))/((-27)/(-8)) and 151/204?
612
Suppose -51*a + 56*a = 1375. Suppose -19*q + a = -276. Calculate the lowest common multiple of q and 6.
174
Let o(x) = x**3 + 12*x**2 - 8*x - 23. Let d(w) = 2*w - 51. Let m be d(20). Calculate the smallest common multiple of 10 and o(m).
930
Let d(h) = -19*h**2 + 626*h + 63. Calculate the smallest common multiple of 600 and d(33).
600
Let r = -115 + 251. Suppose -r = -y + 5*y. Let t = 56 + y. What is the lowest common multiple of t and 22?
22
What is the least common multiple of 182 and 65*(32/160)/(3/9)?
546
Find the common denominator of -14/4077 and 23 + (-1148)/49 + (-858)/105.
20385
Let u = -6479 - -7637. What is the smallest common multiple of u and 1544?
4632
Calculate the common denominator of 131095/3006*(-6)/220 and 97/1100.
3300
Suppose -190720 = -172*l - 64*l + 76*l. What is the least common multiple of l and 298?
1192
Let c(r) = 7*r - 17. Let w be c(-9). Let s = w - -48. Let o = s + 34. What is the smallest common multiple of 38 and o?
38
Suppose 3*b = -k + 2*b + 184, 3*k + 2*b = 550. Let s(n) = -3460*n - 3450. What is the least common multiple of s(-1) and k?
910
Suppose 2*x = 4*s + 6484, 4*x + 5*s - 15025 + 2109 = 0. What is the lowest common multiple of 1617 and x?
3234
Let c = -459 - -857/2. Let m be (-161676)/(-20) + 2/(-4). Let r = m + -8075. Calculate the common denominator of r and c.
10
Let m = 5304331/227403722 - -2/160823. Find the common denominator of -9/2222 and m.
15554
Let b(q) = 3*q**2 - 142*q + 87. Let p be b(45). Calculate the common denominator of 11/12 and ((-178)/(-56))/(p/133).
48
Let f = 14195 + -1022033/72. What is the common denominator of f and -161/4560?
13680
Let y = -24851 + 422513/17. Calculate the common denominator of -43/302 and y.
5134
Suppose z - 4*z - 4579 = -2*i, -2*z - 3*i - 3057 = 0. Let k = 13727/9 + z. What is the common denominator of k and -4/9?
9
Find the common denominator of 300534/(-13572) - (-22)/1 and 35/1083.
62814
Let y(u) = 1914*u**2 + 217*u + 217. Calculate the least common multiple of 2871 and y(-1).
5742
Let v be ((-1)/(-2))/((-1)/(-6)). Let d be v*((4 - 1) + (-100)/15). What is the common denominator of 101/10 and ((-6)/8)/(-3) + 6 + d?
20
Let n = 4/2237 + 42395/60399. Let f = -4/319 - -1703/8613. Find the common denominator of n and f.
27
What is the common denominator of 5/(-10) - (-3211)/570 and 139/18?
90
Suppose -3 = -5*a - 13, -5*h = 5*a + 25. Let d = 1125093/2 + -562551. What is the common denominator of h/12 - (-16)/9 and d?
36
Find the common denominator of 74/423 and ((-25389)/4230 - -6)/(-1).
4230
Let h = -1/77105 - -114563/539735. Calculate the common denominator of h and -27/98.
490
Let p = 51580171/5152 + 40357/161. Let i = 10265 - p. Calculate the common denominator of ((-39)/(-24) - 1)*-30 and i.
32
Let q be -722 - (-3)/9*9. Let s = q + 4255/6. Let g = -24967/1264 + 3/1264. Calculate the common denominator of s and g.
12
Let j(g) = 15*g + 207. Calculate the smallest common multiple of j(3) and 462.
2772
Let i = 1896139549 - 17019748568971/8976. Let a = i - -56/561. Find the common denominator of -19/92 and a.
1104
Suppose 333 = 2*f + 5*x, -20*x + 16*x - 534 = -3*f. What is the least common multiple of f and 580?
1740
Let w be 6/(-8) - 29057/28. Let x = 1073 + w. What is the common denominator of (-2 - (-408)/18)/((-80)/18) and x?
20
Let w(i) = -i**3 - 10*i**2 - 10*i - 6. Let s be w(-9). Calculate the common denominator of ((-5436)/88)/9 + s and 48/(-312) - 2142/104.
44
Let x = 6588 + -131653/20. Let o = -7752359/128 - -60566. Calculate the common denominator of o and x.
640
Find the common denominator of 83/266 and 8/((-7296)/1458) - (-2 + 0).
10