
50
Let y = 63643/9 + -14157/2. Find the common denominator of -143/60 and y.
180
Calculate the common denominator of 1/((-36)/(-15))*144/29680*-15 and -11/636.
4452
Let q = -19062 - -228883/12. Find the common denominator of 101/368 and q.
1104
Suppose 4*m = -3*o + 8*o - 34086, -6813 = -o + 5*m. Let a be 736734/108 - (-9 - -8). Let x = a - o. Find the common denominator of 11/16 and x.
144
Let z = -2 - -13. Suppose g = 2*g - z. Suppose -460*p + 465*p = 45. What is the lowest common multiple of p and g?
99
Let m = -55605 + 22909305/412. Find the common denominator of -59/824 and m.
824
Suppose -7*i - 4 = 3*x - 184, 5*i - 140 = -5*x. What is the lowest common multiple of i and 75?
600
Suppose g + 4*c = 70, 6*g + 2*c + 90 = 8*g. What is the least common multiple of 1080 and g?
5400
Suppose 14*j - 18*j = -48. Suppose -3*s + 18 = 3*a, 0*a = a + 3*s - 12. Calculate the least common multiple of a and j.
12
Let p = 25437263 + -3205076851/126. Let o = -1035/7 + p. What is the common denominator of 1/194 and o?
1746
Suppose -9*x = -163 + 3664. Let v = x - -416. What is the lowest common multiple of 129 and v?
1161
Calculate the common denominator of ((-11)/(-5))/((-4566)/504 + 7/(-84)) and 33/640.
640
Suppose -5*s + 21 + 9 = 0. Calculate the least common multiple of (-143570)/(-665) + 4/38 and s.
216
Let b = 74 + -111. Calculate the common denominator of -2 + 2 + b/(-14) and (27/(-4))/(-27) - (-278)/(-48).
168
Suppose n = 4*o - 45, -3*o + 4*n = -6*o + 29. Suppose 3*s = 2*k + 495, 4*s - 297 = 5*k + 363. Let x = -148 + s. What is the least common multiple of x and o?
187
Suppose 0 = 2*d - 3*h + 4*h - 21, -21 = -3*d + 2*h. What is the lowest common multiple of (1940/(-140) + 11)*-7 and d?
180
Let v = -154 + -150. Let h = v - -322. What is the least common multiple of (-6)/9 + 56/3 and h?
18
Let s = 1006 + -1181. Let r = -503/3 - s. Let d = 2963/6 - 497. What is the common denominator of d and r?
6
Find the common denominator of 1728/(-36) + 45 + 10178/3328 and -45/1456.
11648
Let h be (-1 + 771/6)*89736/(-1296). Let q = 17661/2 + h. What is the common denominator of q and -67/44?
396
Let w = 241356/5 + -48272. What is the common denominator of -47/1948 and w?
9740
Suppose 7*t = -z + 3*t + 42, -5*z + 2*t + 254 = 0. Let h = 5 + z. Calculate the smallest common multiple of h and 10.
110
Let d = -3217 - -3227. What is the least common multiple of d and 1854?
9270
Let d be 8/(-2) + 3 - -37. Suppose 0 = 4*x + 5*f + d, -f = 1 + 3. Calculate the common denominator of 2*(-6)/x + 2739/(-264) and 57/8.
8
Let u(z) = -z**3 + 8*z**2 - 8*z + 7. Let q be u(7). Suppose a - 5*a - 32 = q. What is the common denominator of ((-603)/(-12))/(36/a) and 25/22?
66
Let k(h) = h**2 + 22*h + 91. Let i be k(-17). What is the least common multiple of 17 and (-85)/(-20) + 5 - i/(-8)?
170
Let m = 2106 - 2100. Let p(w) = -w + w - 5*w. Calculate the lowest common multiple of p(-4) and m.
60
Calculate the lowest common multiple of 16 and 11276/(13/(-65)*-10).
45104
Let d be (1924/(-28))/(-13) - (-2)/(-7). Suppose -2*s = -2*u + 2 - 48, -d = u. What is the lowest common multiple of 18 and s?
18
Let g(z) = 20*z + 28. Let h be g(7). Calculate the common denominator of 47/16 and 2/(-3) + (-287)/h.
16
Let p(q) = q**3 - 55*q**2 - 336*q + 45. Calculate the least common multiple of 120 and p(61).
15000
Let c = 38 - 45. Let k = c - -19. Suppose 0 = -3*r + 18 + 48. What is the least common multiple of k and r?
132
Let q(a) = -5*a - 49. Let j be q(-10). What is the common denominator of 1 + j - 5/790*308 and 65/4?
316
Let v = -14409/8 - -3591/2. Find the common denominator of 89/1476 and v.
2952
Suppose 8*j = 5 + 11. Let l(d) = -d**2 + 3*d. Let m be l(j). Suppose -2 = -2*i - 2*z + 2, m = i - 4*z. What is the least common multiple of 2 and i?
2
Let s = -745507/3510 + 2766/13. Calculate the common denominator of s and -149/432.
2160
Let s = 7584 - 113828/15. Find the common denominator of (-68)/14 - (-1 - 0) and s.
105
Calculate the common denominator of -53/888 and ((-43260)/5032)/35*((-30)/(-27) - 1).
15096
Let s(u) = 3*u**2 + 21*u - 214. Calculate the smallest common multiple of 1425 and s(11).
5700
What is the common denominator of ((-14)/(-18) - 1) + 182/383040*848 and -101/38?
570
Let h = 3011/16 - 189485/1008. Find the common denominator of 107/(-60) + 2/3 and h.
1260
Calculate the common denominator of ((-6)/20)/(144/1150) and (-174)/(-522)*121/18.
432
Let v = -7056 + 938426/133. Let m = v + -10953/2128. Calculate the common denominator of m and 59/604.
2416
Suppose -8*u = -14*u + 282. Suppose -4*k - u = 189. Let d = 103 + k. Calculate the smallest common multiple of d and 16.
176
Suppose v - 40 + 49 = 0. Find the common denominator of -44/21 and 3/v - (2 + (-623)/399).
399
Let a = 73 - 36. Let g = -36 + a. Let z = -2 - -6. What is the smallest common multiple of z and g?
4
Suppose -7170*r - 1134 = -7179*r. What is the lowest common multiple of 84 and r?
252
Let y be ((-23)/(-16))/(1/(-26)). Let b be (-18)/(-864)*(-4846)/3. Let q = b - y. What is the common denominator of -3/20 and q?
180
Suppose -2*f = 3*s - 2427, 5*f = -2*s + 540 + 1078. Calculate the smallest common multiple of s and 4.
3236
Suppose -1371 - 1529 = -4*o. Let f = 23879/33 - o. Let i = -592169/24 + 24679. What is the common denominator of f and i?
264
Suppose -2*y - n + 157 = -226, -3*y + 542 = -5*n. What is the least common multiple of 7 and (864/(-21))/((-54)/y)?
1008
Let r = 30 + 63. Suppose 4*i - 4*q = 116, q + r = 3*i + 4*q. Calculate the lowest common multiple of 18 and i.
90
Let z(s) = -91*s - 7. Let f = 31 + -32. Calculate the smallest common multiple of 9 and z(f).
252
What is the common denominator of 10/267 and 3/10 - -14*(-31932)/1569960?
3738
Let c = 1/31369 - -27322396/94107. Let s = c - 288. Find the common denominator of s and (-71)/(6/3 + -40).
114
Suppose -7*o = -2*o - 110. Let g be (-3 + 0)/((-24)/1216*4). Suppose g*t - 658 = -9*t. What is the least common multiple of o and t?
154
Let r(t) = -t**3 + t**2 + 2*t + 10. Let h be ((-104)/3)/((-8)/12). Let c = -10 + h. Calculate the lowest common multiple of c and r(0).
210
Let s = 5364/11 + -488. Calculate the common denominator of 1595/(-225) + (-24)/(-120) and s.
99
Let k = -269/122 + 29111/11529. What is the common denominator of k and -67/10?
1890
Suppose 4*u + 37*u = 15293. What is the smallest common multiple of u and 8?
2984
Let a(o) = -2*o**3 - 7*o**2 + 15*o + 14. Calculate the lowest common multiple of 72 and a(-7).
504
What is the common denominator of (-858)/(-1852708)*5*-2 and 99/790?
32390
Let c be (-4)/(-6) - 710/(-4). Let o = 517/3 - c. Calculate the common denominator of o and (2/((-20)/(-5)))/(77/(-343)).
66
Suppose -4*j - 735 = -4*m - 7*j, 925 = 5*m + 5*j. Calculate the common denominator of 4/18 - (2 - (-1630)/m) and 1 + -1 - 202/(-12).
6
Let c be 3/((-6)/(-1390)) - 0. Let v(x) = -x**2 + 12*x - 25. Let q be v(9). Find the common denominator of 6/q + c/(-220) and 73/2.
44
Let o be 2*1*(-155533)/(-68). Let u = 4447 - o. Let t = 5603/44 + u. What is the common denominator of -91/2 and t?
44
Let a = 1853/3 - 631. Find the common denominator of a and 85/972.
972
Suppose -22*g + 19*g = 173685. Let z be 4 + (g/7650 - 0). Let w = z - -92/153. What is the common denominator of -8/33 and w?
330
Let z = -1620 - -2082. What is the lowest common multiple of 15 and z?
2310
Let f = 125 + -128. Let k be (-4)/(-18) - (-692)/3366. Let x = 66/17 - k. Calculate the common denominator of x and f.
11
Let z = -72/1009 + -80729/127134. Let c = 1567 + -32924/21. Calculate the common denominator of z and c.
126
Let i be 7165/(-1060) - (-40)/8. Let q = 1/106 + i. Find the common denominator of -7/18 and q.
36
Let w(h) = h**2 - 16*h + 11. Let q(o) = o**2 - 16*o + 9. Let y(t) = 4*q(t) - 5*w(t). What is the lowest common multiple of y(8) and 99?
495
Calculate the least common multiple of 8/(-22)*(18/30)/(72/(-660)) and 256.
256
Let l = 58495 + -643420/11. Let r = -4739/354 - -190/59. What is the common denominator of r and l?
66
Let s = -417 + 413. Calculate the smallest common multiple of 80 and 30*((-28)/s + -6).
240
Let m(f) = 12*f + 14*f + 9*f - 197 - 46*f. Calculate the lowest common multiple of 49 and m(-18).
49
Let l = -1820/3 + 598. Let i = 133469 - 212302. Let x 