*u + 3*u - 4*r - 34 = 0, -3*u = -2*r - 62. What is the lowest common multiple of 76 and u?
684
Let j = -219871 - -60684541/276. Find the common denominator of -51/26 and j.
3588
Let u = 1380687/13 + -23828915/234. Let i = u - 4371. Calculate the common denominator of 16/33 and i.
198
Let i = 1187353/7 - 169271. Let r = i - 49337/140. Let o = -2169 - -26111/12. What is the common denominator of r and o?
60
Let j = -2/12337203 + 7916372269/2121998916. Let o = j - 35/43. What is the common denominator of o and -89/8?
24
What is the smallest common multiple of 4 and (-2)/(-7) - 138*(-4)/28?
20
Suppose 2*v - 2*d = -0 + 4, -4*v + d = -5. Let m = 450 - 1351/3. Calculate the common denominator of v - ((-390)/16)/5 and m.
24
Suppose 0 = -4*g - 0*g + 40. Let s be (58/6)/((-13)/156). What is the lowest common multiple of s/(-30) - (-16)/120 and g?
20
Suppose 12*k + 166 = -74. Find the common denominator of (-30)/k + (-126)/44 and -16/5.
55
Let a = 6911/441 - 2/441. Let j(x) = -5*x + 7. Let n(v) = v + 3. Let h be n(-6). What is the common denominator of j(h) and a?
3
Let b(r) = r**3 + r**2 + 12. Let i be b(0). Suppose 2*m = -2*m - i. What is the common denominator of 1/m + (-12)/(-90) and 85/4?
20
Let a = -20 - -41/2. Suppose s = -4*s - 3*y - 15, -25 = s + 5*y. Find the common denominator of s + 3 + (-82)/40 and a.
20
Let z = 8 - 4. Suppose 0*o = -z*o + 64. Calculate the lowest common multiple of o and 2.
16
Let z = 257 - 146. Calculate the least common multiple of 25/15 - z/(-9) and 10.
70
Suppose -86 = -6*i + 46. Suppose 3*c - 4*d = 44, 0 = -5*c - 0*d + 4*d + 68. What is the lowest common multiple of i and c?
132
Let p = 400 - 386. Let j = -6 + 9. Suppose 16 + 20 = j*n. What is the least common multiple of n and p?
84
Find the common denominator of 29/(-4)*1/(-2) and ((-376)/72)/((-165)/27 + 5).
40
Suppose 1739 = 31*l - 648. Calculate the lowest common multiple of l and 13.
1001
Let q = -220 + 244. Calculate the least common multiple of 9 and q.
72
Suppose -3*o = 2*i - 247, 0*o - 3*o = -i - 232. Suppose -5*y + 1 = -o. Let r(a) = a**2 + 6*a + 10. What is the smallest common multiple of y and r(-6)?
80
Let o = -76795631/624 + 123070. What is the common denominator of -73/27 and o?
5616
Let l(m) = -2*m + 4. Let n = -31 - -37. Suppose 0 = -n*i - i + 28. What is the smallest common multiple of i and l(-3)?
20
Let h be ((-8)/2)/4*5. Calculate the common denominator of 75/4 and -8 - h - (-19)/10.
20
Let d = 1/68 - -4/17. Let n = -28729/4 - -7097. Let l = n - -1359/16. What is the common denominator of d and l?
16
Let n = 391 + -387. Suppose -3 = d + 1. Calculate the least common multiple of n and (-2 - d) + (-8)/(-2).
12
Let d = 1/1498 + 20597/749. Let r be (4/(-8))/((-1)/(-3370)). Calculate the common denominator of d and 4/6 - r/(-300).
20
Suppose -6*x = -10*x. Suppose 2*h - 72 = -2*h - 4*v, h - 2*v - 30 = x. What is the least common multiple of 22 and h?
22
Suppose -k = 2*k - 6. Suppose -3*r + 75 = 2*c, 0*r + 65 = 2*c + r. Suppose k*g = c - 12. What is the least common multiple of 3 and g?
9
What is the smallest common multiple of (5 + -1)/1 - -22 and 18?
234
Let r be 2*1*1/1. Suppose -5 = r*b - 3*b. Suppose 0 = l + 2*l + b*a + 13, 4*l + 4 = -4*a. Calculate the smallest common multiple of 8 and l.
8
Let g = 41 + 217. Find the common denominator of 32/3 and 9/12 - g/216.
9
Suppose 5*y - 2*k - 3 = 0, 13 = -y - 4*y - 2*k. Suppose t - 5 = 3*h + 3, -4*t + 4*h = -16. What is the least common multiple of y - ((-1)/(-1) + -14) and t?
12
Suppose -25 = 2*o + 71. Let g = 519/40 + -88/5. What is the common denominator of g and (-1962)/o*4/(-30)?
40
Suppose -11*u + 13*u = 0. Suppose -2*h + 24 = -u. What is the smallest common multiple of 30 and h?
60
What is the common denominator of ((-50)/16 + 3)*(-268)/6 and 5/674?
4044
Let f = -604/187 + -25/187. Suppose -4 = 5*x - 19, 3*b - x = -57. Find the common denominator of b and f.
11
Let a(p) = -3354*p + 11. Let g be a(2). Let s = g + 80225/12. Find the common denominator of s and -101/20.
60
Suppose 20*d + 42 = 23*d. Suppose 0*z - 2*z = -d. Calculate the lowest common multiple of z and 10.
70
Let w = -38 + 48. Let b = -20 + 29. Calculate the least common multiple of b and w.
90
Suppose -56 = -3*y + 2*p, 3*y + 2*p + 38 = 5*y. What is the lowest common multiple of 188 and y?
1692
Suppose -9*z = -37 + 1. Let l be 2 - (1 - -1) - -1. Suppose l + 39 = z*g. What is the lowest common multiple of g and 18?
90
Let z = -375 + 1521/4. What is the common denominator of -89/72 and z?
72
Suppose -242 = 190*c - 193*c + 2*f, -75 = -c - 5*f. What is the least common multiple of c and 220?
880
Let v(k) = -k - 13. Let j be v(6). Let u = -7 - j. Calculate the lowest common multiple of 2/(-3) - (-152)/u and 18.
36
What is the common denominator of ((-9)/4 - 27/(-135))*3 and -75/548?
2740
Let c = -1675675/289618 + 2/20687. Calculate the common denominator of c and 76/3.
42
Let s = 1753 - 1731. What is the least common multiple of s and 782?
8602
Let h = -54901/8 - -6874. Calculate the common denominator of -13/210 and h.
840
Let m be (-1)/(-2 - (-93)/45). Let l(k) = -k**3 - 4*k**2 + 3*k. Calculate the smallest common multiple of 1*(-5)/(m/18) and l(-5).
30
Let w = -69111/10 + 6923. Suppose -2*p + 8 = -12. What is the common denominator of 337/(-30) + 4/p and w?
30
Calculate the common denominator of -47/21 and -4 - (-1770)/216 - 5.
252
Let o be (-4)/3*(-3)/(-2). Let w be 1*o/5*775. Let g = w - -952/3. Calculate the common denominator of g and -15/13.
39
Suppose 0 = 3*y - 2*l - 18, 3*y - 6*l - 18 = -10*l. Let i = 2 + 1. Calculate the lowest common multiple of 2/i*(-90)/(-3) and y.
60
Let k be (-90)/(-4155)*3158/(-56). Let g = -2/277 - k. Calculate the common denominator of g and -73/8.
56
Let y = -841 - -52141/62. What is the common denominator of 16/5 and y?
310
Let i be ((-32)/(-24))/((-3)/(-108)). Suppose i*z - 45*z = 546. What is the lowest common multiple of 10 and z?
910
Let c = 3189719/89060 + 17/13359. Let w = c + -217/6. Calculate the common denominator of w and 77/18.
180
Let b(c) = c + 14. Suppose s = m + 4*s - 16, 8 = 2*s. What is the lowest common multiple of (-8)/m + 23 - -1 and b(-10)?
44
Let i be (4 + -5)/1 + -12587. Let t = i + 226645/18. What is the common denominator of t and -11/30?
90
Let u be (1577/30)/(8/20 + 0). Let y = u - 457/4. Let s = 433 + -935/2. Calculate the common denominator of y and s.
6
Suppose 5*t - 3*h = 20 + 4, 24 = 3*t + 3*h. Let x = -32 - -14. Let p(g) = -g**2 - 18*g + 7. Calculate the least common multiple of p(x) and t.
42
Let r be 6 - 5 - 1047/1038. Let k = r - 12019/519. Let j = 1855 + -3633/2. What is the common denominator of k and j?
6
Let k be (-3 + (-27)/(-6))*2. Suppose 3*l = -l + 20. Suppose -2*t + l = -k. Calculate the smallest common multiple of 18 and t.
36
Suppose -161 + 47 = -6*r. What is the least common multiple of 5 and r?
95
Let y be -1 + 2 - (1 - 1). Suppose 0 = -w + 3*x + y, -5*x - 15 = -0*w - 5*w. Let q = 6 + 5. Calculate the least common multiple of w and q.
44
Let d(j) = -11*j**3 + 2*j**2 + 2*j - 1. Let n be d(2). Suppose m + 3*m + 4456 = 0. What is the common denominator of 119/18 and (-14)/n - m/(-440)?
180
Let f(v) = 5*v + 25. Let c be f(-7). Let m(s) = -s**2 - 15*s - 17. What is the smallest common multiple of 15 and m(c)?
165
Let q = -31931 - -10441370/327. Calculate the common denominator of q and -85/18.
1962
Let j(h) = 3*h + 1. Let u be j(1). Suppose -u*g + 0*g = -72. What is the least common multiple of 16 and g?
144
Suppose 3*f + s = 4*s, 0 = 3*f - 4*s. Let v(z) = z**3 - 3*z**2 - 4*z - 1. Let u be v(4). Calculate the common denominator of 70/9 and u - 39/9 - f.
9
Let g(u) = -3*u - 3. Suppose -3*x - 19 = -5*o, 4*x + 5*o - 2*o - 23 = 0. Calculate the smallest common multiple of g(-2) and x.
6
Let v = -2981819/6 - -501672. Let m = 4686 - v. Let x = -12115/2202 - -2/1101. What is the common denominator of m and x?
6
Let r be (-8)/7*2/(-1384). Let w = r - 38770/10899. Find the common denominator of w and (-106)/10 - (-2 - -3).
45
Suppose -2*l + 27 = -27. Let n = -9 + 30. Calculate the smallest common multiple of n and l.
189
Let f be (-3)/2 - 1/(10/15). Find the common denominator of (1 + (-74)/64)/(f/84) and 139/6.
24
Let u be (4 - (-39)/(-12)) + (-71846)/40. Let r = -18