6. Let f be (-454)/3 - (-4)/3. Find the common denominator of (f/32)/(r/20) and 1/8.
24
Let m = 61 + -53. Suppose 0*u - 3*z = u - 10, 0 = 4*z + m. What is the least common multiple of 44 and u?
176
Let o = -32 - -37. Let d = o - -14. What is the lowest common multiple of d and 11?
209
Calculate the common denominator of -1/160 and (-4)/38 + (-102657)/43320.
160
Suppose 3*s + 13*s - 320 = 0. Calculate the smallest common multiple of s and 230.
460
Let h = -2011251017/22 - -91443419. Let i = -22923 + h. Calculate the common denominator of i and 47/12.
132
Let y be -1 + 18562159*(-2)/16. Let t = y - -2325076. Let v = 4794 - t. Find the common denominator of v and -61/9.
72
Let g = 18555 - 1818289/98. What is the common denominator of g and 113/6?
294
Suppose -j = -2*l + 86, 4*j - 6*j - 127 = -3*l. What is the smallest common multiple of 5 and l?
45
Suppose p - 2 = -18. Let l be ((-1)/3)/((-12)/(-1044)). Let i = p - l. What is the least common multiple of i and 9?
117
Let x = 256 + -175. Find the common denominator of 2/4 - 309/24 and (1/(-2))/(x/(-612)).
72
Let y = 25 - 1. Let v = -53 - -71. What is the least common multiple of v and y?
72
Let k = 127950871/28 + -4570758. Let x = 4361/4 + k. What is the common denominator of 15/2 and x?
14
Suppose -3*m = -t + 20, m - 3*m - 40 = -4*t. Suppose 2*u = -0*d + d + 12, 3*u = 4*d + t. Calculate the least common multiple of u and 16.
16
Calculate the common denominator of 1005/(-24)*1/10*-2 and 55/4.
8
Suppose -d + 3*d + 4*s = -12, -5*d + 5*s + 15 = 0. Suppose -n - 7 + 9 = d. Suppose -3*y - 9 + 51 = 0. What is the lowest common multiple of n and y?
14
Let k = 2590651150709/3208 - 807559595. Let h = k - 3/401. Find the common denominator of h and -93/38.
152
Let z = -67/238 + 86/51. Let r = -14989/4 - -3725. Find the common denominator of z and r.
84
Suppose 7*o - 271 + 40 = 0. What is the least common multiple of o and 15?
165
Suppose -4 = -v + m, 3*m + 4 - 24 = -5*v. Suppose 0 = -v*b + 2*b + 10. Calculate the smallest common multiple of 16 and (-2)/7*(-2 - b).
16
Let m = 404503/55410 - 1/5541. Let w(i) = i**3 + 2*i**2 + i - 30. Let d be w(0). Calculate the common denominator of (-9)/12*d/(-63) and m.
70
Let m(u) = -u**3 - 12*u**2 - 2*u + 12. Suppose -7 - 15 = q + 2*s, 0 = -3*q + 2*s - 26. Calculate the lowest common multiple of 8 and m(q).
72
Let t = 72 - 69. What is the common denominator of t + (-9 - -8 - (-2)/(-27)) and -151/24?
216
Find the common denominator of (-3 - 83)/((-4 - -3) + 5) and (-1)/58*581/14.
116
Let l = -9574 + 57737/6. Let t = l + -82/3. Calculate the common denominator of 3 + 0 + 231/(-12) and t.
4
Suppose -3*k = 2*y - 3*y - 28, 4*y - 32 = -4*k. Suppose t - 2 = k. Calculate the lowest common multiple of t and 4.
44
Suppose -3*n + n + 2*z - 4 = 0, 4*n + 5*z = 28. Let b(p) = -p**3 + 5*p**2 - 2*p - 2. Let a be b(5). What is the least common multiple of 8 and (-3 + n)*a - -2?
56
Let j = -94/11 - -287/22. What is the common denominator of (4/(-3))/(42/27) and j?
14
Let w = 299/2 - 583/4. Let h = -8/1125 - 48247/18000. Find the common denominator of h and w.
16
Suppose 10*g = g + 72. Calculate the least common multiple of 6 and 767/39 - g/(-6).
42
Suppose 12*y = 16*y - w - 204, 0 = 2*y - w - 104. What is the least common multiple of 5 and y?
50
Let t(i) = 9*i + 428. Calculate the least common multiple of t(-27) and 185.
185
Let j = -541 - -5931. Calculate the common denominator of ((-4)/10)/((-336)/j) and 39/20.
60
Let r = -9 + 15. Let n(q) = q**2 - 5. Suppose 5*t + 4*v = -35, 4*t + 0*v + 2*v = -22. Calculate the smallest common multiple of n(t) and r.
12
Find the common denominator of -73/18 and ((-33)/84)/(135*(-20)/(-210)).
360
Suppose 0 = 4*l + 5 - 529. Let a = -117 + l. What is the least common multiple of 64 and a?
448
Let c = -9584 + 229979/24. Let o be (3057 - 0)/(6/10). Let f = -101833/20 + o. Find the common denominator of f and c.
120
What is the common denominator of (-2212)/1568 - (19/7 - 3) and ((-53)/7)/(162/(-21))?
216
Let p = 31144/35 + -890. Calculate the common denominator of p and 25/6.
210
Suppose -5*z = -s + 7, -s + 6*z + 4 = 4*z. Suppose 0 = 5*n - 2*y + 139, -5*y + s*y = 9. What is the common denominator of n and 34?
1
Find the common denominator of ((-2)/(-216))/((-3)/(-150)) and 95/66.
594
Let n(x) = 4*x + 26. Suppose -10 = g - 5. Calculate the lowest common multiple of n(g) and 6.
6
Let z(a) = a**2 - 39*a - 1378. Let k(d) = -11*d - 2. Calculate the least common multiple of z(-23) and k(-2).
240
Suppose k = 1, k + 4 - 13 = -2*q. Calculate the lowest common multiple of q and 3.
12
Let d = 3655/756 - 1/756. What is the common denominator of d and (-2)/2 + (-755)/150?
30
Let v(g) = 10*g**2 - 1. Let a(n) = -3*n - 39. Let i(z) = 2*z + 39. Let b(m) = 5*a(m) + 6*i(m). Calculate the smallest common multiple of v(-1) and b(11).
18
Suppose d - 5*i + 23 = 0, -5*i + 17 = -2*d - 2*d. Let t(s) = s**3 + s**2 - s + 9. Suppose 0 = -8*l + 10*l. What is the smallest common multiple of t(l) and d?
18
Let q = -573 + 589. Calculate the smallest common multiple of 1508 and q.
6032
Let f = 48 + -56. Let z = f - -16. What is the smallest common multiple of z and 22?
88
Let v(a) = 34*a - 56. What is the least common multiple of v(2) and 28?
84
Let g(k) = -2*k + 18. Let h be g(8). Suppose h*j = -4*j + 240. Calculate the least common multiple of j and 4.
40
Calculate the least common multiple of (-27)/2*(649/(-33) - -9) and 60.
720
Let j = -129 + 114. What is the common denominator of 311/j + 9/(-15) and -20/7?
21
Suppose -4*a + a = -18. Calculate the smallest common multiple of (-3)/(21/(-35)) - -43 and a.
48
Find the common denominator of 177/(-413) - (-563)/(-140) and 69/172.
860
Suppose 70 = 59*k - 52*k. What is the lowest common multiple of 20 and k?
20
Let j = -335164612/5365 + 1787656/29. Let p = -4139/5 - j. Calculate the common denominator of -93/2 and p.
74
Let w = -19447/54776 + 71/167. Calculate the common denominator of 5/4 and w.
328
Let s = -4 - -15. Suppose 5*u = 3*o + 6 + s, 3*u - 5*o - 23 = 0. Find the common denominator of 6/(-9)*u/(-4) and -73/2.
6
Let u = -7 - -8. What is the smallest common multiple of u and (-8)/((39/(-390))/((-2)/(-5)))?
32
Let d be (-22099)/6 - (-3)/(-1). Let u = d - -3662. Calculate the common denominator of u and 15.
6
Let f = 20957413615/36086 - 580763. Let x = -100535605/108258 - f. Let j = x - -939. Find the common denominator of -77/8 and j.
24
Let t = -2/8327 - 1024169/216502. Let a = 479477469/182 + -2634483. Let y = a + t. Find the common denominator of y and -24/7.
7
Let i = 3/4 - 3/8. Find the common denominator of -7/20 and i.
40
Let z = 34 + -32. Suppose 0 = -3*j - t + 2*t + 59, z*j = 4*t + 56. Calculate the least common multiple of j and 2.
18
Let z = -2/7713 - 120829/30852. Calculate the common denominator of (-166)/36 - 3/18 and z.
36
Let a(f) = -f**3 + 31*f**2 - 57*f - 18. Let m = 9 - 12. What is the least common multiple of (-22)/(-2) + m - 0 and a(29)?
88
Suppose 0 = 5*d + 3*v - 76, -2*d + v - 50 = -76. Suppose -j - 1 = -5. What is the smallest common multiple of d and j?
28
Let p = -14139 - -169811/12. Calculate the common denominator of p and -3/110.
660
Suppose 0 = -3*d + 4*a - 13058, 1191 - 5537 = d + 2*a. Let z = 72858989833/16729614 + 1/1520874. Let f = d + z. Calculate the common denominator of f and 43/4.
44
Let o(k) = 14*k**2 - k - 1. Suppose 789 = 5*y - 3*i, -5*y - 4*i + 778 = 10. What is the lowest common multiple of (-3)/(-3 + y/56) and o(-1)?
14
Suppose -3*b - 9 = -3*t, 4 - 1 = b. Suppose 3*y + 4*y + 231 = 0. Let n = y - -38. Calculate the least common multiple of t and n.
30
Let z = 23/7 + -1255/154. Calculate the common denominator of 5/1396 and z.
15356
Suppose 4*u = 12247 - 1951. Let v = u + -1720. Calculate the common denominator of 49/8 and v/(-80) + (-2)/16.
40
Suppose k - 3*g = 2*k - 18, 0 = -2*k - 2*g + 44. What is the lowest common multiple of 12 and k?
24
Let n be (0 - -1) + -57 + -4 - 4. Let f = 89 + n. What is the least common multiple of f and 5?
25
What is the common denominator of 7848/2240 - 3/7 and -62/55?
440
Suppose 9 = 3*i, 0 = 4*d + 37*i - 40*i - 71. Calculate the smallest common multiple of 40 and d.
40
Suppose 3*z = 3, 3*p - 215 = -0*p + z. Calculate the smallest common multiple of p and 88