8
Let q(g) = g - 276. Let w be q(0). Let y = -274 - w. Calculate the smallest common multiple of y and 12.
12
Let p = 20006941267/6858632 + 3/623512. Let o = -2916 + p. What is the common denominator of 19/22 and o?
22
Let u be (6/8*(-60)/15)/1. Calculate the common denominator of (-3)/((-2)/u*-31) and -87/14.
434
Let m = -5538415/86 + 64399. What is the common denominator of m and -45/58?
2494
Let l = -52755 - -2215859/42. Find the common denominator of -53/70 and l.
210
Let u(f) = -9*f - 133. Let v be u(-15). Suppose -34*t - 15 = -37*t, 5*m = -v*t + 70. Calculate the least common multiple of 68 and m.
204
Let f(k) = -33*k - 141. Let t be f(-5). Let n = -35311/5820 + 1/1940. Calculate the common denominator of (-102)/33*20/t + 2 and n.
165
Let q = 2/477 - 673/46746. Let y = 24804503/112 + -221469. Calculate the common denominator of q and y.
784
Suppose 20*n = 80*n - 22080. Calculate the least common multiple of n and 736.
736
Suppose -m + d + 9 = 0, 2*d - 10593 = 3*m - 10617. Suppose 0 = -2*i - 3*w + 72, 2*i - 40 = -5*w + 32. What is the smallest common multiple of i and m?
36
Let m(u) = u**3 + 9*u**2 - 10*u - 1. Let z be m(-10). Let c be (7763/(-168))/(z/(-382)). Let r = c - -17641. What is the common denominator of r and -55/14?
84
Let t(c) = -727*c**3 - c**2 + 119*c + 119. What is the smallest common multiple of t(-1) and 264?
2904
Suppose 3*x + 4*c + 278 = 3*c, -4*c - 284 = 3*x. Calculate the common denominator of -7 + 2 - (3 - x/16) and 33/16.
16
Suppose 58*a - 61*a - 13 = p, 4*p - 2 = -3*a. Calculate the lowest common multiple of 1675 and p.
1675
Calculate the common denominator of -9/580 and (-6 - (-63840)/31900) + -3*4/(-3).
6380
Let l = -43904 - -44052. Calculate the least common multiple of l and 2 - (16*-1 - 0).
1332
Suppose 5*s + 2*l = 2457, 2*s - l + 687 - 1668 = 0. Let a = s + -456. Calculate the least common multiple of 5 and a.
35
Suppose -3*q = 2*k + 2*q + 5091, 2*q + 5094 = -2*k. Let f = k - -10263/4. Let c = -226733/22302 - 2/11151. What is the common denominator of f and c?
12
Suppose 0 = -30*g + 11063 - 46343. Calculate the lowest common multiple of (g/(-10) - -3) + (-39)/65 and 8.
120
Let q = -97067/60150 - -468/401. Let a = -216/43 - -8731/1935. Calculate the common denominator of q and a.
450
Let v be 847/12 - 0/21. Let y = -2615/36 + v. Let d = -4898/3 - -166703/102. Calculate the common denominator of y and d.
306
Let f(z) = 672*z + 108. Let u be f(6). Let i = u + -463699/112. What is the common denominator of -41/9 and i?
1008
Let b = 55789/137200 + -5/5488. Calculate the common denominator of b and 23/210.
1050
Let s be (-6425)/(-30)*54*501/(-660). Let d be 2/(-3) + (1 - 105376/12). Let j = d - s. Calculate the common denominator of j and 1/40.
440
Suppose 0 = f + 3*g - 559 + 107, 5*g + 1706 = 4*f. What is the lowest common multiple of f and 3?
1302
Let a = -462134/22841 + 1842/91. Let k = a - 43502/532371. Find the common denominator of -151/24 and k.
2424
Suppose -5*j + 10 = -4*p, -132*j + 131*j = -2*p - 2. Calculate the lowest common multiple of 944 and j.
944
Let n(t) = t**3 - 33*t**2 - 3*t + 23. Let y be n(33). Let l = y - -96. What is the smallest common multiple of l and 8?
40
Let k = -132 + 133. Find the common denominator of (8/(-14))/(-14 + 4) and (k/9 - 0)*(-640)/(-32).
315
Let i = 105123/12980 + 3/2596. What is the common denominator of i and 1751/(-1190) - (-4)/(-14)?
70
Let n be (-45)/(-9) + (-4 - -3). Let j(v) = 5*v**3 - 5*v**2 - 2*v + 17. What is the smallest common multiple of 9 and j(n)?
747
Suppose 2*a - 5*j = 50, -3*j - 75 = -3*a - 0*j. Let r = 12 + a. Suppose -r = -8*w - 5. Calculate the least common multiple of 86 and w.
172
Let a = 128/5985 + 1/1197. Calculate the common denominator of a and 1/(-1) + -1*189/12.
180
Let u be (-2 - -4)*6*(-5)/(-15). Calculate the common denominator of (-6 - (-165)/20)/(14/u) and -23/49.
98
Let b(v) = 5*v + 14. Let d be b(-4). Calculate the common denominator of 2 - (-1)/(8/(-7)) and ((-4)/d)/((-20)/(-95)*1).
24
Let f = -18 - -30. Suppose -189 + 19 = 181*g - 186*g. Calculate the lowest common multiple of g and f.
204
Suppose -4*r + 211 + 1805 = 28*r. What is the least common multiple of 70 and r?
630
Let h be (-30 - -28) + (-8014)/(-17655). Let p = h + 1/1605. What is the common denominator of p and 23/8?
88
Let g = 4353/110 + -199/5. Calculate the common denominator of g and (1 - 245/300)*(-84)/(-40).
2200
Let y(m) = m**2 - 7*m - 168. Calculate the least common multiple of y(17) and 803.
1606
Let x = -2248 + 1383. Let j = x + 28525/33. Let a = -17607 - -475444/27. Calculate the common denominator of j and a.
297
Find the common denominator of 6 + 2080/(-338) - 367/(-273) and -46/9.
63
Suppose a + 41 = -4*n, -22*n - 50 = -18*n - 2*a. Calculate the common denominator of 0 - 262/33*n/44 and 83/66.
66
Suppose -169 = -5*p - 44. Let b(d) = -3*d**2 - 9*d + 3. Let t = 330 + -332. What is the least common multiple of b(t) and p?
225
Let g = -2557044557/1566 + 1632851. Find the common denominator of -53/22 and g.
17226
Find the common denominator of -98/2175 and 4671/45*(5/(-180))/(-1).
8700
Calculate the common denominator of 327/4*(-66)/(-3960) and -127/420.
1680
Suppose -2*u = 4*z - 18, -35*z + 4*u + 24 = -31*z. Suppose 4*l + 26 - 94 = 3*k, 4*l = z*k + 76. What is the smallest common multiple of 49 and l?
98
Suppose -4*u = -2*d + 54 - 96, -3*u + 4*d = -24. Let z = -302 - -440. Calculate the lowest common multiple of u and z.
276
Let y = -2729 - -2768. What is the smallest common multiple of y and 104?
312
Let o = 124807/16 + -7798. Let t = 26292180 - 999190315/38. Let m = 2303 + t. Calculate the common denominator of o and m.
304
Calculate the common denominator of ((-1)/71523*-9)/((-3)/18) and 76/3.
2649
Let r(c) = 20 + 10*c + 4*c**3 - 5*c**3 - 3*c**3 - 6*c**2 + 0*c**3 + 2*c**3. Calculate the smallest common multiple of 49 and r(-5).
490
Let v = -8444 - -168853/20. Find the common denominator of v and -67/730.
1460
Let b = -516 + 802. Let s = -264 + b. Calculate the lowest common multiple of 16 and s.
176
Suppose 7*r = 8*r - 2. Suppose -3*b + r*n - n + 71 = 0, -b + 4*n + 20 = 0. What is the common denominator of -12/5 and (282/b)/(((-42)/(-8))/(-3))?
35
Let q = 8177 - 8073. Let o(j) = -j + 1. Calculate the smallest common multiple of o(-3) and q.
104
Suppose 0 = -2*j - 113 + 115. Find the common denominator of -89/22 and 20/(-24)*(86/(-40) - j).
88
Let o = 16359 + -15955. Calculate the least common multiple of 10 and o.
2020
Let n = 13781 - 330637/24. Suppose s + 15718 - 2777 = 0. Let m = 155179/12 + s. What is the common denominator of m and n?
24
Suppose 2*w = 3*t + 282, 5*w + 430 = 8*w - t. What is the lowest common multiple of w and 24?
144
Let x = 2369 + -14167/6. Find the common denominator of x and 202/60*(0 + 1).
30
Let b = 23/13 + -1023/130. Calculate the common denominator of 2/(-2) - (-2717)/342 and b.
90
Let h = -10364175574 - -4191968690. Let x = 444407005655/72 + h. Let t = x + -112641. Find the common denominator of t and -19/4.
72
What is the lowest common multiple of -2 + -1 - -94 - (340/17 - 13) and 618?
8652
Suppose 6960 = -23*w + 3*w. Let r = 1133 + w. Calculate the lowest common multiple of 15 and -8*r/(-70) + (-4)/(-14).
90
Suppose 5*q + f - 305 = 400, -5*q + 5*f = -705. Let v = q + -1017/7. What is the common denominator of -23/28 and v?
28
What is the common denominator of 55/8964 and 1212*16/2304*(-4)/6?
8964
Suppose -4*o + 25 = 5*u, u + 0*u - 3*o - 24 = 0. Suppose -193 = -2*k - 213. Let j = 31 + k. Calculate the lowest common multiple of j and u.
63
Calculate the smallest common multiple of (-17 + 164)/(-2 - -5) and 1197.
8379
Suppose 2*p = 5*p - 12. Find the common denominator of 6 + (151/(-4))/((-21)/(-4)) and p/(144/51) + -1.
84
Let o = 225080 + -167459587/744. Calculate the common denominator of 47/1023 and o.
8184
Let j = 9 - -15. Suppose 192 = -22716*a + 22720*a. What is the lowest common multiple of j and a?
48
Let n = 4736 + -42583/9. Calculate the common denominator of n and -4*(427/(-224))/((-27)/(-4)).
54
Let r be -3*425853/378 - (-8)/(-2). Let y = 3392 + r. What is the common denominator of 1/6*(-219)/(-5) and y?
70
Find the common denominator of -14/93 and (12/2 + (-3351)/558)/((-2)/(-183)).
372
Let m be 74/2 - -3*75/45. W