 = 23*m - 17. Suppose q = 4*q - 15. Suppose -c - 40 = -q*c. Calculate the lowest common multiple of m and c.
70
Suppose 0 = p + 6*u - u + 17, 2*p + 5*u = -14. Let g be p/(-2) + 141124/20755. Let o = g + 2/4151. What is the common denominator of -18/11 and o?
110
Let r = 382559/16 + -23915. Find the common denominator of r and (146/3)/(-10 - 2).
144
Let o = 1546/9 + -75676/441. What is the common denominator of o and -38/525?
3675
Suppose 0 = 61*n - 62*n - 3. Let r be (-331652)/(-20)*(111/(-42) - n). Let x = 5916 - r. What is the common denominator of x and 151/12?
84
Let w(l) = l**3 + 3*l**2 - 8*l - 5. Let q be w(-5). Let k be 7 + 3/(-1) + -16 + 10. Find the common denominator of -39/2 and 9*(-35)/q - k*1.
2
Suppose 0 = -2*g + 72 - 16. Suppose 0 = 16*s - 1433 - 695. What is the smallest common multiple of s and g?
532
Let y(o) = -86*o - 234. Calculate the lowest common multiple of y(-5) and 6076.
6076
Let g(y) = 19*y + 213. Let p(z) = 9*z + 106. Let l(n) = -6*g(n) + 13*p(n). What is the smallest common multiple of l(-31) and 24?
168
Calculate the common denominator of 121/6 and (1/234)/(3*(-22)/264).
234
Let p = -16/77 - -2022/9625. Let s = p + 55898/44625. Calculate the common denominator of -1/8 and s.
408
Suppose -5*x + 25 = 0, -x = -18*n + 23*n - 35. What is the smallest common multiple of (-12452)/(-231) - n/(-63) and 81?
162
Suppose 3*j = -64 + 334. Let h = 89 - j. What is the common denominator of 4 + ((-322)/(-48))/h and -85/18?
72
Let b = -28 + 52. Suppose 48*k = 38*k - 6550. Let t = k - -679. Calculate the smallest common multiple of t and b.
24
Suppose 260*o - 4920 = 245*o. Calculate the lowest common multiple of o and 18.
2952
Suppose 5*s = -4*o + 14 + 215, 0 = 4*o - 3*s - 221. Let k = 160 - 159. Calculate the smallest common multiple of o and k.
56
Suppose -13 = w - 3*b, -5*b + 5 = -20. Let u(k) = -k**3 + 13*k**2 - 73*k + 409. What is the smallest common multiple of w and u(9)?
76
Let o = -12186 + 13794. Calculate the least common multiple of o and 3.
1608
Let r = -11/58 + 187/145. Let y = 8485/12 + -3043/4. Let b = y + 76. Find the common denominator of b and r.
30
Let h(c) = 64*c**3 - 4*c**2 + 18*c - 54. Let l be h(5). Suppose -12*f = -28*f + l. Calculate the smallest common multiple of f and 20.
2480
Suppose -11*c - 5 = -12*c. Calculate the least common multiple of c and 4 - 330/77 - (-6952)/28.
1240
Let f = 37/80 - 131/40. Let i be -140 + 4 + (-32)/4. Find the common denominator of (-44)/i*-7 + (-5)/6 and f.
144
Let u be 5934/(-144) - (-2 - -6). Let j = 175/8 + u. Let v = 290/3 - 94. Find the common denominator of j and v.
3
Let m be (38/(-8)*2)/(15/30). Let j = m - -22. What is the smallest common multiple of j and 10?
30
Let k = -18982 + 170779/9. Find the common denominator of k and (14/916)/(7/(-42)).
2061
Let d(f) = -f**2 + 8*f + 2. Suppose -149*p = -154*p - 4*y + 51, -5*p - 30 = -5*y. Calculate the lowest common multiple of d(7) and p.
9
Let p = 32052 + -17240. Calculate the least common multiple of 22 and p.
162932
Find the common denominator of (125454/129920)/((-3)/(-4)) and (-205)/1920 - 1/(-3).
640
Suppose -4*d = -8*d + 11*g + 575, 5*d + 3*g - 635 = 0. What is the lowest common multiple of d and 195?
390
Let w = -64818 + 3111151/48. Let v = -155347/21 + 7399. Find the common denominator of v and w.
336
Find the common denominator of ((1*1/(-3))/(4/276))/(-450) and -83/1350.
1350
Suppose -36*d = -32*d + 4*x - 1368, 0 = 4*d + 2*x - 1364. Calculate the lowest common multiple of d and 476.
2380
Suppose 2*w + 1748 = 5*u, 12*w + 1404 = 4*u + 16*w. Calculate the lowest common multiple of u and 10.
350
Let h = 51 - 14. Let p = -13 + h. Suppose 41 = 5*b + 4*m - 5*m, -b - 5*m + 3 = 0. What is the lowest common multiple of b and p?
24
Let f = -4665/7 - -252925/378. Find the common denominator of f and (-25)/(-12)*(-546)/(-105).
54
Let v be (-3)/(3 - 12/3). Let c(l) = -13*l**3 - 3*l**2 - v + 2 + 2*l**2 + 3*l**2. Calculate the smallest common multiple of c(-1) and 106.
742
Let d(j) = j**3 - 12*j**2 + 33*j - 54. Let o be d(11). Suppose o*s - 147 = 181*s. What is the lowest common multiple of 6 and s?
42
Suppose 76*y - 96*y - 740 = 0. What is the least common multiple of (7 - y) + 0 + -8 and 144?
144
Suppose 1392 = -4*v - 0*v. Suppose 0*f - 2*f = 10. What is the lowest common multiple of (v/45 + 8/(-12))*f and 12?
84
Let m be ((-52)/267220)/((-446319)/(-446525) - 1). Let x = m - -7/13361. Calculate the common denominator of x and 19/18.
1854
Suppose -5*r + 10*g - 9*g = -290, 5*g - 146 = -3*r. Let n = r + -55. Suppose 24 = y + n*y. What is the lowest common multiple of y and 32?
32
Suppose 0 = b - s - 6, -3*b - 3 = b + 5*s. Let d(g) = -5*g + 17. Let m = 52 + -30. What is the least common multiple of d(b) and m?
22
Let q = 8441613 + -5723414741/678. Let v = q - -40/3729. Calculate the common denominator of v and 37/10.
330
Suppose 5*x - 15 = 2*b, 3*b - 5*x = -3*x - 6. Let p be b + -2 - -3 - -4. Find the common denominator of (-69)/20 + -2 + -1 + p and 87/2.
20
Suppose 109*f - 128259 - 122441 = 0. Calculate the smallest common multiple of f and 36.
20700
Let j = 5270 - 3476. Let n = j + -3665/2. Calculate the common denominator of (-7 + 8)/(14/22 + -1) and n.
4
Calculate the smallest common multiple of ((-944)/(-354) + (-8)/(2 + 0))*-120 and 200.
800
Let u = -1579664627/30 - -52671874. Let t be 2/3 - 49150/(-3). Let x = t - u. What is the common denominator of -23/24 and x?
120
Let u(j) = 5 + 9 + 3 + 3*j - 2*j. Suppose g = h + 1 - 6, 2*g + 30 = -2*h. Calculate the smallest common multiple of 26 and u(g).
182
Let y(v) = 4*v + 118 - 192 + 101. Calculate the lowest common multiple of 14 and y(2).
70
Suppose 3*t - 1044 = -u, -169*t + 170*t + u - 344 = 0. Calculate the lowest common multiple of t and 45.
3150
Let l be 466*(-1)/14 + 6/21. Let c = l - -36. What is the common denominator of (-15)/80*(-58)/c and 111/40?
40
Suppose 1068 = -3*p + 1140. Let k = 6/2089 - -173267/41780. Find the common denominator of 40/(-22)*(-9)/p and k.
220
Suppose 2*c + 32 = 4*v, -5*c = -2*v - 0*v + 24. Suppose -v*x + 6 = 286. Calculate the common denominator of -57/40 and ((-423)/(-27))/(x/(-3)).
40
Calculate the common denominator of -9*(-10)/240 + (-434)/(-720) and 54/45*(-22)/16.
180
Let m = 1/104599 - -3241401/122171632. What is the common denominator of 143/1314 and m?
10512
Suppose 24*q + 5*q = 9541. Let u = q + -313. Calculate the lowest common multiple of 56 and u.
112
What is the common denominator of 11 + (-18)/(5832/4599) and -103/784?
7056
Suppose 5*y - 104 = -4*f, 2435 - 2507 = -5*f + y. Suppose -g - g = -300. What is the lowest common multiple of f and g?
1200
Calculate the smallest common multiple of 1204 and (-20)/5 + (-47)/(-11) - 189125/(-275).
4816
Let h = 385719584/11 + -34934671. Let a = h - 130614. Let m = 52747/396 - a. Find the common denominator of m and 59/6.
36
What is the least common multiple of ((-3451)/(-116))/(0 - (-2)/88) and 3808?
41888
Let h = -28787/1290 + 32/215. Calculate the common denominator of h and (-1 - 56034/2520) + 23.
420
Suppose -2*d + 2*m = 4, -6*d + 3*d + 34 = 5*m. Suppose d*z + 2*s = z - 32, 5*z - 3*s = -64. Let j = z + 17. What is the lowest common multiple of 15 and j?
15
Suppose -7*y + 90 = -2*y. Suppose 70*r - y = 67*r. Let t = 9 + 6. What is the lowest common multiple of r and t?
30
Let y be (-3 + (-102)/(-27))/((-32)/35724). Let i = 759 - 1627. Let h = i - y. Calculate the common denominator of h and -2/33.
264
Suppose -378 = 256*q - 283*q. What is the smallest common multiple of 2080 and q?
14560
Suppose -36 = 23*x - 344 - 60. What is the lowest common multiple of 984 and x?
1968
Let i(u) = -u**2 + 11*u - 8. Let z(q) = 2*q - 1. Let s be z(5). What is the lowest common multiple of 15 and i(s)?
30
Suppose 21 = -5*u + 111. Suppose -7*k - 22 + 32 = -74. What is the smallest common multiple of u and k?
36
Let r = -491244 + 1230074937/2504. Find the common denominator of r and 97/16.
5008
Suppose 6375 = -11*y + 28*y. Calculate the lowest common multiple of y and 35.
2625
Suppose 6*c - c = 15. Suppose 3*j + 4 = 5*j. Suppose 3*y + 3*k + j*k = -7, 0 = 2*y + 2*k + 2. Calculate the least common multiple of c and y.
3
Calculate the lowest common multiple of 90 and ((-15)/1)/((-45)/105 - 30/175).
450
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