
Suppose 3 = 2*o - 1. Suppose 2*i = -k - 6, -1 = -5*k - o*i + 9. Let f = -253 + 269. Calculate the smallest common multiple of f and k.
16
Calculate the least common multiple of 30 and 0 - 21 - (-923 + -658).
1560
Let r be (-2610)/(-65) - 2/13. Suppose 0 = 2*o + r - 72. What is the smallest common multiple of o and 8?
16
Let r(p) = 3*p**2 - p - 3. Let n = 13 + -10. Let a be r(n). Suppose 3*c - h = -0 + a, 0 = -3*c + 3*h + 27. What is the least common multiple of 8 and c?
24
Suppose 0*h = 5*s + 4*h - 149, -5*h - 119 = -3*s. Calculate the least common multiple of 110 and s.
330
Let r = 2010/11 - 104707/572. Calculate the common denominator of -63/572 and r.
572
Suppose 5*s + 10*i = 8*i + 6091, -1256 = -s + 5*i. Calculate the lowest common multiple of s and 42.
17094
Let p = -64 - -65. Let t be p/(-2) - (-4)/16*-6. What is the common denominator of (412/(-8) - t) + 0 and -65/14?
14
Suppose -7 - 25 = -8*i. Suppose -i*q + 50 = q. Let w(k) = -k**3 + 9*k**2 + 9*k + 21. What is the smallest common multiple of 1 and w(q)?
11
Let p = -150/133 + 6677/9576. What is the common denominator of p and ((-1 - 1)*((-94)/(-24) + -4))/(-18)?
216
Suppose 2*p = 6*p - 7704. Suppose -3100 = f + 4*r, -3*f + 4*r + p = 11306. Let d = 34292/11 + f. Find the common denominator of 87/8 and d.
88
What is the common denominator of -93/610 and (-32097)/87230 - (-10)/25?
6710
Let x = -349931/36 - -9718. Let u be 1418/18 - 20/(-90). Calculate the common denominator of (u*1/4)/(-8) and x.
288
Suppose 12*n - 5249 = -30*n + 6175. Calculate the lowest common multiple of 24 and n.
816
Let o be (-15)/(-4) - (-2)/8. Suppose 86 = 4*g - 2*s, -63 - 32 = -o*g + 5*s. What is the smallest common multiple of g and 2?
20
Suppose p - 2 = 3, 4*p - 1634 = b. Let k = b - -8096/5. Find the common denominator of k and 99/2.
10
Let g = 22169/75 - 3551/12. What is the common denominator of g and 43/285?
5700
Let c = 17 + -13. Let l be 2 + -3 + (7 - c). Suppose 2*k + 96 = 5*o - 2*k, l*o - 4*k = 36. What is the least common multiple of o and 22?
220
Calculate the common denominator of -71/494 and (-219)/(-30)*28/6916.
2470
Let k(v) = v**2 + 11*v + 44. Let p(i) = -18*i - 75. Let h be p(-4). Calculate the lowest common multiple of 25 and k(h).
100
Let i(t) = -2*t**2 - 56*t + 12. What is the lowest common multiple of (96/(-40))/((-2)/30) and i(-28)?
36
Suppose 7*g - 60 = -18. What is the common denominator of 12/g + (-79)/66 and 115/18?
198
Let b = 11055 + -44293/4. Find the common denominator of b and -99/454.
908
Let o be -23223*6/(-504) + (-1)/(-4). Let j = -279 + o. What is the common denominator of j and -69/10?
70
Suppose -4*t + 7*t = 60. Let b = 30487/420 - 721/10. What is the common denominator of 0 + (0 - 23/t) and b?
420
Suppose 0 = -3*d - 2 - 7. Let p be (-5276)/(-40) - d/30. Calculate the common denominator of (p/(-90))/((-4)/33) and 27.
10
Let s = -2257596 - -20292694/9. Let h be 10529443/3690 + (-3)/15. Let q = s + h. Calculate the common denominator of q and -67/14.
574
Calculate the common denominator of ((-8)/18)/((-12)/(936/(-22))) and 2/407.
1221
Let p be (-2)/4*587648/164560. Let u = 189/85 + p. Find the common denominator of u and 15/44.
484
Suppose 44 = 10*o - 36. Let f = -290 + 441. Suppose 41 = -5*s + f. Calculate the least common multiple of s and o.
88
Suppose 2*r - 31 = 2*m + 107, 0 = -4*m + 3*r - 280. Let y = m - -103. Let w = y + 6. What is the least common multiple of 8 and w?
72
Let b be (-3)/(-2 - (-33)/15). Let c = 3795/7 - 545. What is the common denominator of (-2*b/72)/(8/16) and c?
42
Let n(y) = -10*y + 3*y - 11 + 8 - 3*y. Let x be n(7). What is the common denominator of -131/18 and x*(4/(-2 - -18))/2?
72
What is the common denominator of 0 + (553/(-2275) - -1)*4/64 and 57/400?
5200
Let k(x) = x - 27 - x + 3*x + 5. Let g be k(9). Suppose -a = 2*c - c - 14, a + g*c = 6. What is the least common multiple of 18 and a?
144
Let d = 1702 + -1710. Suppose -30 = o + 2*j, 8*j = -2*o + 3*j - 58. Find the common denominator of -45/4 and (o/(-24))/(4 - (-28)/d).
12
Suppose 0 = q - 11*q + 50. Suppose -22*y + 6 = -20*y, -f - q*y = -151. Calculate the lowest common multiple of f and 170.
680
Let g(f) = 277*f + 1488. Calculate the least common multiple of g(6) and 27.
9450
Let b(j) = -173*j + j**2 - 179*j + 348*j - 9. Calculate the smallest common multiple of 3 and b(9).
36
Let t be ((-90)/(-25))/((-4)/1302580). Let x be t/(-126) - (-1)/(-7). Let g = x + -502435/54. Find the common denominator of g and 77/8.
216
Suppose 4*t = -5*d - 11, -14 = -d - d + 3*t. Let z be (-4 + d - -4) + -13146. Let u = z - -525711/40. Calculate the common denominator of u and -7/20.
40
Suppose -2*q = 3*k - 764, 4*k + 66 = -2*q + 1082. Calculate the smallest common multiple of k and 32.
2016
Calculate the smallest common multiple of 72 and (4 + 189)/((-475)/(-285)*2/20).
13896
Suppose 0 = -29*g + 34*g + 170. Calculate the common denominator of (g/28)/((432/147)/12) and -89/16.
48
Suppose f + 5234 - 5398 = 0. What is the least common multiple of f and 184?
7544
Let v = 37472 + -1348873/36. What is the common denominator of -119/20 and v?
180
Let v = -8553 + 9969. What is the least common multiple of 472 and v?
1416
Suppose 16283*c - 16291*c + 24 = 0. Calculate the least common multiple of 2451 and c.
2451
Calculate the common denominator of 87/(-480) + 4/10 and 265/(-6) - 3 - (-365)/(-438).
32
Let d be (20/(-5) - -2) + -8 + -2. What is the common denominator of 0 - (-82)/16 - d/3 and -61/48?
48
Suppose 4 + 26 = 2*o. Suppose -25 = -o*x + 10*x. Suppose 0 = -g - x*g + 6. Calculate the lowest common multiple of 5 and g.
5
Suppose -20 = -4*h, -7*h + 3*h - 120 = 5*u. Let v(z) = -2*z**3 - 2*z**2 + 4*z + 7. Calculate the lowest common multiple of -51*(-3 - u/12) and v(-2).
238
Let q = -13620 - -13641. Calculate the least common multiple of 1788 and q.
12516
Suppose -o - 2*o + 4*x = -8, 3*o = -x + 13. Suppose 3*c = o*c - 3. Calculate the common denominator of 39/8 and 35/c + (-12)/4.
24
Let t(c) = 3*c**2 + 21*c - 5. Let s be t(-7). Calculate the common denominator of 189/24 - s/10 and 139/12.
24
Let x(k) = 1119*k + 5637. What is the smallest common multiple of 231 and x(-5)?
462
Let z = -13 - -12. Let o be (-2)/(1525/(-1733) - z). Let x = 150/13 + o. What is the common denominator of x and 28?
8
Let y(g) be the third derivative of g**4/8 + g**3/2 + 3*g**2. What is the smallest common multiple of y(7) and (-96)/(-60)*2/(6/45)?
24
Suppose -2 = -5*y + 7*y + 3*a, 2*y + 4*a + 4 = 0. Find the common denominator of (y/44)/((-3)/(-249)*-2) and -83/44.
44
Let n = -27017803/284 - -95133. What is the common denominator of n and (77/((-55440)/1458))/((-1)/(-4))?
1420
Let m(a) = a**3 + 5*a**2 + a - 10. Let d be 1/(-2)*(29 - 21). Suppose 0 = -2*f - 4*g, -4*f = -5*f + g + 3. Calculate the smallest common multiple of f and m(d).
2
Suppose -39*j + 38*j + f = -63, -4*j = -5*f - 257. Calculate the least common multiple of 44 and j.
1276
Let p = 56733/23140 + -2/1157. Find the common denominator of 91/1158 and p.
11580
Let j = 3373 - 3324. Calculate the smallest common multiple of j and 777.
5439
Calculate the common denominator of 832/(-770) + (1305/(-105) - -13) and -12/385.
385
Let g(d) = 6*d - 9. Let n be g(6). Suppose 3*z = -5*o + 14, -4*z - 5*o + 0*o = -n. Calculate the common denominator of -49/20 and (-1)/(-5) - z/2.
20
Suppose -26*v + 1035 - 420 = -1257. What is the smallest common multiple of v and 352?
3168
Suppose 0 = -73*q + 70*q + 192. Let b(h) = -44*h**3 - h**2 + 10*h + 11. Calculate the least common multiple of q and b(-1).
704
Let m = -3966 + 27712/7. Let h be 0 + (-2)/(-1) + -1. What is the common denominator of m and 2/(-8)*2 - h?
14
Let n = -158 + 189. Suppose -4*p + 87 - n = 0. Calculate the smallest common multiple of 7 and p.
14
Calculate the common denominator of 39/160 and (3/36)/((-93)/3286).
1440
Let r = 29 + 55. What is the least common multiple of r and 23 - (5/4)/((-199)/796)?
84
Suppose 2*r - 5*l - 1252 = 213, l + 5 = 0. Calculate the lowest common multiple of r and 6.
720
Let s = 448841/28800 - 1557/100. Find the common denominator of s and 47/2112.
12672
Let v = -27071/2 + 67658/5. What is the common denominator of v and -107/740?
740
Let u = 4682 - 4591. What is the smallest common multiple of 286 an