 multiple of 12 and (1 - 5)/(-1 - 42/g).
84
Let o = 123691/12 + -10298. Let m be (-28)/(-13) - (-16)/(-104). What is the common denominator of o and (m/(-8))/((-4767)/(-1582) - 3)?
12
Suppose j - 9 = -5*c + 35, 3*c - j = 28. Suppose -6*x + 15 = -c*x. What is the common denominator of (-152)/(-240)*x/2 - 2 and 83/54?
108
Let t = 1029 - 999. Suppose -191 - 169 = -t*k. What is the lowest common multiple of (3/2)/(6/80) and k?
60
Let a(y) = -y**2 - 24*y - 133. Calculate the least common multiple of a(-10) and 1750.
1750
Suppose 5 = 5*r, z - 5*r - 35 = 5. Let v = z - 41. Suppose -v*m = -s - 2*s + 26, -3*s - 2*m = 4. Calculate the lowest common multiple of 20 and s.
20
Let i = 91 + -106. Suppose -1 - 1 = v. What is the common denominator of ((4/i)/v)/(189/1995) and -38/27?
27
Let z(o) = o**3 - 10*o**2 - 2*o - 86. Let f(h) = h**3 + 5*h**2 + 7. What is the lowest common multiple of f(-5) and z(11)?
91
Suppose 784 = -19*m + 2000. What is the lowest common multiple of m and 1?
64
Let b(t) = t**2 + 22*t + 90. Let x be b(-18). Suppose -x = a - 4*a. Let g(l) = -l**3 + 6*l**2 - 3*l - 4. What is the smallest common multiple of g(4) and a?
48
Suppose -33*y + 592 = -2*p, -102*y - 4*p - 68 = -106*y. Suppose 4*l = 3*r + 117, -3*r + 16 = -3*l + 103. Calculate the lowest common multiple of y and l.
90
Let u(k) = -42*k - 1308. Let c(m) = m - 6. Let o be c(0). Let w = o - -36. Calculate the smallest common multiple of u(-32) and w.
180
Find the common denominator of (130 - 125) + 115/(-24) + -1 and 55/4137.
33096
Let x(d) = 114*d**2 - 4*d - 2. Let a(w) = -w**3 + 3*w**2 + 13*w + 38. What is the least common multiple of x(2) and a(6)?
1784
Suppose 7 - 47 = -5*r. Let f be 4*13/2 + 0. Let b = f + -21. Calculate the smallest common multiple of b and r.
40
Let j = -2970634474/4959 - -599039. What is the common denominator of j and -26/21?
34713
Let z = 75 - 41. Let q(s) = 29 - 102 + z + 5*s + 37. Calculate the common denominator of q(2) and 59/3.
3
Let f(t) = t**3 - 8*t**2 - 13*t - 2. Let l be (845/10)/(-13)*34. Let a = l + 229. Calculate the smallest common multiple of a and f(10).
136
Suppose -q - 50 + 25 = -4*k, 6*k - 37 = q. Calculate the lowest common multiple of 3963 and k.
7926
Suppose -y - 5*z = 4*y - 36120, 3*z = 5*y - 36152. Let v = y - 43501/6. Find the common denominator of v and 8/(-144)*(137 + (-40)/10).
18
Let n = 675016/31850745 + 4/24295. What is the common denominator of 83/228 and n?
5244
Let b(j) = j**3 - 27*j**2 + 180*j - 122. What is the lowest common multiple of 1268 and b(23)?
3804
Let y(f) = -f + 5. Let w = -29021 - -29031. What is the lowest common multiple of w and y(4)?
10
Let w(f) = -3*f - 45. Let d be w(-23). Let s be (525/(-9))/(d/30). Let u = 3905/54 + s. Find the common denominator of u and -51/10.
540
Calculate the lowest common multiple of 2 - (-275)/8 - 570/1520 and 24.
72
Let g = 3348 + -3330. What is the lowest common multiple of 62 and g?
558
Let j be (7 - 10) + 2/((-72)/(-423899)). Let h = j - 11773. Find the common denominator of -67/16 and h.
144
Let g = 31866829/12 + -2653637. Let z(p) = -405*p + 95. Let y be z(5). Let s = y + g. Find the common denominator of 107/14 and s.
84
Suppose -2*d = 4*s, 0 = 5*d - 4*s - 0*s + 56. Let g(j) = -26*j - 4. Let v(l) = -l. Let x(w) = d*v(w) + g(w). What is the least common multiple of x(-2) and 4?
32
Let z = 438 + -260. Suppose -x + 173 = 5*g, 0 = x + 7*g - 3*g - z. What is the lowest common multiple of 4 and x?
396
Let p(h) = 4*h + 168. Let i = -683 - -676. Calculate the lowest common multiple of 56 and p(i).
280
Let t = -237319/10 - -145105/6. Let f = t - 446. Find the common denominator of 55/273 and f.
1365
Let k = -118710175/396 + 299773. Calculate the common denominator of -143/36 and k.
396
Let v = 2141 - 2120. Calculate the least common multiple of 51 and v.
357
Let w = -5906741/114 - -51813. Calculate the common denominator of -37/57 and w.
114
Suppose 4*n + 94 = m, 0 = 4*m + 1 + 7. Calculate the common denominator of (-6)/(-10)*(-107)/12 and (25*1/n)/((-28)/63).
160
Let y = 444 - 460. What is the common denominator of (-6 - -3) + 1*(-174)/y and -17/132?
264
Let d(j) = -j. Let b(y) = -y**2 + 6*y - 22. Let f(t) = -b(t) + 6*d(t). Let x be f(10). Find the common denominator of -73/12 and (((-3)/(-2))/1)/(x/18).
12
Let d = -70 - -132. Suppose 734 = 8*a + d. Calculate the smallest common multiple of 16 and a.
336
Calculate the common denominator of (-214)/(-28)*(4725/162)/(-25) and -19/336.
336
Let z = -8703 - -113142/13. What is the common denominator of z and 2/51?
663
Let v = 5600 - 4922. What is the smallest common multiple of v and 791?
4746
Let k = 299 - 339. Find the common denominator of -32/75 and (177/375)/(16/k).
150
Let w = 2460 - 4999/2. Calculate the common denominator of (-4 + 122/2)*3/(-231) and w.
154
What is the common denominator of 11 + (4 - 14463/984) and 42/205?
1640
Let y = 57 + -12. Let v(w) = -2*w**2 - 414*w + 2126. What is the least common multiple of v(5) and y?
90
Let p(x) = x**3 + 14*x**2 + 16*x - 21. Let u be p(-13). Let y be 2/(-12) - 2*125/u. What is the common denominator of -87/20 and -14*y/(-144) + (-2 - -1)?
180
Suppose -2*k + 11 = 3. Let l = 168 + -146. Suppose 0 = 4*v - d - l, -d - k*d + 5 = 3*v. Calculate the lowest common multiple of v and 7.
35
Let s(j) = j**2 - 14*j + 40. Suppose 15*z - 2*g - 492 = 12*z, -2*z + 317 = -5*g. What is the least common multiple of s(12) and z?
1328
Let v(o) be the third derivative of o**6/4 - o**4/6 + 2*o**3/3 + 38*o**2. Calculate the lowest common multiple of 24 and v(1).
120
Let z = 6257/1312 - 266/41. Suppose l + 81 = -4*o - 2*l, 3*l = 3*o + 87. Find the common denominator of 1*(-1 - 44/o) and z.
96
Suppose 2*a = w + 142, 206 = 108*a - 105*a - 5*w. Calculate the lowest common multiple of a and 48.
144
Find the common denominator of 78/286 - 1053*(-3)/(-330) and (63/(-15) - -2)/(-3).
30
Let b = 2594 + -1579. Calculate the smallest common multiple of b and 5.
1015
What is the common denominator of -23/3164 and (-48)/(-20) + -2 - (-1143)/(-2520)?
6328
Let r(l) = 12*l - 3. Let n(t) = 2*t - 23. Calculate the smallest common multiple of r(5) and n(12).
57
Suppose -10628 = -5*v - 4*z, 0 = 48*v - 51*v + 7*z + 6311. Calculate the smallest common multiple of v and 28.
14840
Let r = -9549/56 + 1170/7. Let u = 8158/7 - 1607371/1379. What is the common denominator of r and u?
1576
Let i = -10857 - -54687/5. Let j = -75 + i. What is the common denominator of j and -4*4 + (-2)/4?
10
Let t be 0 - ((-8)/28 - (-187988)/(-17752)). Let j = -1/2536 + t. What is the common denominator of j and -5/108?
216
Suppose 5*s + 4*c - 14 - 26 = 0, 13 = -s - 5*c. Let w(k) = -4*k + 98. Let o be w(20). Let p = o - s. Calculate the smallest common multiple of 20 and p.
60
Let x = -4250001739 - -18122007215275/4264. Let v = x - -1932/41. Find the common denominator of v and -17/52.
104
Let u = -513 + 613. Find the common denominator of -26 and u/550 + (-191)/3289.
299
Let t = 5966641/44012616 + -1/309948. Find the common denominator of t and 28/639.
5112
Suppose 0*g - 4*k = -2*g - 8896, 0 = 3*g - 3*k + 13341. What is the common denominator of 4/6 + (-6 - g/378) and 119/12?
84
What is the lowest common multiple of 360 and (-187 + -13)*(819/14)/(-13)?
1800
Let d be (-4)/30*(1 + (-2480062)/16). Let x = 20672 - d. Let v = -72837/10 + 7290. Calculate the common denominator of v and x.
20
Let x = -2212 - -2395. Calculate the least common multiple of 9 and x.
549
Let q = -26661 - -8898. Let f = 25767 + q. Let n = f + -336145/42. Find the common denominator of 91/12 and n.
84
Suppose 5*g - 2*f - 10994 = -314, 0 = 2*g + 4*f - 4248. Let k = 42733/20 - g. Calculate the common denominator of 63/184 and k.
920
Suppose 2*q = -5*z + 34, 2*q = -2*z + q + 14. Let r be z/(-8) - 8514/72. Let s = -83 - r. Calculate the least common multiple of s and 44.
396
Suppose -10*h - 2373 = -96*h + 723. Calculate the least common multiple of h and 864.
864
What is the lowest common multiple of 108 and ((-378)/(-8))/((-27)/(-108))?
756
Let o = -1007/276 - 125/23. Calculate the common denominator of o and (-44)/77 + (-10761)/(-9044).
228
Let t(w) = -w**2 - 11*w - 12. Let l be t(-9). Suppose -16 + l = 5*r. What is the least common multiple of (0 - -10) + 4 + r and 10?
60
Let y be (-