422. Let n = -16 + -1. What is the common denominator of c and ((-21)/(-28))/(4/n)?
176
Let d = 1355843/36 - 37665. What is the common denominator of d and ((-1548)/(-24))/((3 - 30)/(-1))?
36
What is the common denominator of 4/3 - (-10)/(11520/(-2132)) and -139/336?
2016
Suppose -4*d - 502 - 70 = 0. Let y = d - -241. Calculate the least common multiple of (-1)/(y/(-32) - -3) and 8.
16
Let f(l) = l + 2. Let r be f(-5). Suppose 11*d - 31 = 35. What is the lowest common multiple of r*(-4)/12 + 5 and d?
6
Suppose f - 45 - 57 = -2*h, 2*f - 202 = -3*h. Calculate the lowest common multiple of f and 56.
392
Suppose -16*x = -82*x + 15972. Calculate the smallest common multiple of x and 66.
726
Let j = 56807 + -3635555/64. What is the common denominator of j and 23/80?
320
Let f = -4 + 6. Let n = 146 + -116. Suppose -f*s - s = -n. What is the lowest common multiple of s and 16?
80
Let z = -2/1421 + -95201/4263. Calculate the common denominator of z and 115/182.
546
Let u = 31619/192555 + -2/3501. What is the common denominator of -65/231 and u?
1155
Suppose 6*o = -2*z + 4*o - 32, 2*z - 5*o = -46. Let h be (12/z)/((-4)/(-18)). What is the least common multiple of 11 and 1 + -1 + 1 - h?
44
Suppose 3*u = 22 + 5. Let h = -134 + 153. What is the smallest common multiple of h and u?
171
Let n = -10652/7 + 82493/56. Let r = n - -129/8. Calculate the common denominator of (40/(-100))/((-24)/725) and r.
12
Let b = -56 + 48. Find the common denominator of 62/15 and 34/(-8)*b/(-16).
120
Let t(b) = -b**3 + 5*b**2 - 4*b - 1. Suppose -3 - 7 = -2*d. Suppose 65 = 3*w + d*s, -2*w - 2*s = 3*w - 83. Calculate the lowest common multiple of w and t(3).
15
Let u(r) = 2*r**2 - 1. Calculate the least common multiple of 897/(-104) - -15 - ((-54)/(-16) - 3) and u(2).
42
Suppose 6*y = 2*y - 28. Let w(r) = -6*r - 20. What is the lowest common multiple of w(y) and 10?
110
Let x = -3 + 17. Let g = 250 - 236. Calculate the smallest common multiple of x and g.
14
Let c = 19215340153/606 - 31708474. Let d be (1 - (-4)/(-6))/505. Let r = d - c. Find the common denominator of r and -81/2.
10
Let a be 4/4 + 688/990 + -2. Let l = a - -7/90. Find the common denominator of l and 35/4.
44
Let z = 24180 + -725507/30. Find the common denominator of -67/45 and z.
90
Let n = -589 - -652. What is the smallest common multiple of n and 63?
63
Let q be 4/(-32)*-4*-4. Let v be (q/(-123))/((-15)/2034). Let n = -1/205 - v. Find the common denominator of n and 19/11.
55
Suppose 0 = 3*s - 275 + 38. Find the common denominator of 2 - (s/14 + 2 + -3) and 79/8.
56
Let i(h) = -2*h**2 + 20*h + 118. Suppose 0*b + 3*t - 26 = -2*b, -3*t = 6. What is the smallest common multiple of b and i(13)?
80
Suppose -3*u = 3*r - 87, -24*u + 25*u + 2*r - 28 = 0. Calculate the least common multiple of 609 and u.
6090
Let a = -1891 + 9153. What is the least common multiple of 22 and a?
79882
Let h = -365 - -2572/7. Find the common denominator of (-2)/5 + (118/70 - 4) and h.
7
Suppose 8*w + 3*q = 3*w + 44, -2*w + q + 22 = 0. Suppose 431*c - 439*c + 128 = 0. What is the least common multiple of c and w?
80
Let i(w) = 2*w - 8. Let f be i(5). Suppose a + f = -0. Calculate the least common multiple of a + (-1)/(4/(-32)) and 12.
12
Suppose 3*v = 4*o - 63, o - v + 5 - 20 = 0. Find the common denominator of 15/o*(-231)/15 and -89/8.
24
Let v be 42*(0 + 8/12). Let a = 148 + v. What is the least common multiple of a and 6?
528
Let q = -93 + 541/6. Suppose 4*n - 2*s + 2 = 0, 3*s + 22 = -5*n - s. Find the common denominator of (-7)/(63/n) - 987/(-54) and q.
6
Let l(p) = 10*p**2 - 4*p + 6. What is the least common multiple of l(1) and 24?
24
Suppose 3*r = 14*r - 1848. Suppose -r = n - 174. Calculate the smallest common multiple of 14 and n.
42
Let j(u) = 355*u + 10. Let y be j(-7). Let h = y + 17354/7. What is the common denominator of h and 70/3?
21
Suppose 250 = 43*p - 653. Let o(y) = y**2 + 9*y + 11. What is the least common multiple of o(-8) and p?
21
Find the common denominator of 103/48 and 2/144*(0 + -73).
144
Let k = -3/496 + 4981/3472. Find the common denominator of k and -31/4.
28
Suppose 5*k - 4*q = 39, -3*k - 3*q = 230 - 275. Let y(u) = -3*u - 5. What is the lowest common multiple of k and y(-5)?
110
Let a be (5/2)/(2/(-28)). Let z = 165 + -179. Calculate the common denominator of -52/9 and a/z*29/3.
18
Suppose p = -0*p - 4. Let h = 8 + p. Let x(v) = -v**3 + 5*v**2 + 8*v - 8. What is the least common multiple of x(6) and h?
4
Let v(t) = -t**3 - 19*t**2 + t + 26. What is the smallest common multiple of 5 and v(-19)?
35
Calculate the common denominator of (222 + -226)*(0 + 46/(-108)) and 65/33.
297
Let z be 3 + 1 + -3*1. Let t be (z - 4) + 94699/44. Let y = t - 2124. Find the common denominator of y and 57/5.
20
Let y be ((-14546)/(-8))/(374/833). Let j = 41419/8 - y. Let t = -1130 + j. What is the common denominator of t and 35/3?
33
Find the common denominator of 1*35/(-1)*(-432)/366120 and -52/21.
2373
Suppose 16 = -c - 3*c. Find the common denominator of (-286)/(-12) + (0 - 1) and ((-1)/c)/(18/(-300)).
6
What is the common denominator of -34/33 and (-1)/6*17172/(-1188)?
66
Calculate the common denominator of ((-6)/4 - -1)*714/(-210) and 0 + 95/(-2) + -1.
10
Suppose 24*j = 392 + 472. What is the least common multiple of j and 18?
36
Let h = -618 - -684. What is the least common multiple of 9 and h?
198
Let t(f) = 5*f**2 - 17*f + 17*f. Let h be t(-2). Let p = h + -12. Calculate the least common multiple of p and 2.
8
Suppose -6*t + 39 = -297. What is the lowest common multiple of t and 28?
56
Let r = 6 + -4. Let s = 4 - r. Suppose 12 = s*l - 5*k, -3*l - 2*k = -6*l + 18. What is the least common multiple of 22 and l?
66
Find the common denominator of -25/394 and 1 + ((-1530)/132)/3.
4334
Let w = -43/10 + 31/5. Find the common denominator of w and -26/9.
90
Let t = 83 + -76. Let p(l) = 7*l - 3 - 3*l + 0*l. What is the lowest common multiple of t and p(2)?
35
Let d = -126877/42 + 17792/7. Let s = d - -23219/48. Let h = 18269/11780 - 1/1178. Find the common denominator of s and h.
80
Suppose -p = -2*h + 11 + 41, 0 = -4*p - 16. What is the least common multiple of 57 and h?
456
Let r = 28 - 18. What is the lowest common multiple of 15 and r?
30
Let z = 125893/14 + -8998. Let q(i) = 4*i - 4. Let v be q(-5). Calculate the common denominator of z and (-2)/6 + (-908)/v.
14
Suppose 3*a - 8 = 16. Suppose -6*k + k = 20. What is the least common multiple of a and k/20*2*-5?
8
Suppose 4*x = -7 + 71. Suppose -2*m = -4, 2*k + 4*m - 214 = 7*m. Let o = k - 100. Calculate the lowest common multiple of x and o.
80
Let v = -251 - -431. What is the lowest common multiple of v and 72?
360
Let l = 95 + -73. Find the common denominator of 40/3 and 0 - (-3)/(-180)*l.
30
Let p(r) = r**2 - 7*r - 17. Let q be p(9). Calculate the smallest common multiple of 2/((1 + q)/4) - -2 and 12.
12
Suppose -2*f - 7 = -23. Suppose -6*b - 12 = -f*b. What is the smallest common multiple of 4 and b?
12
Suppose 55 = 17*o - 6*o. Let i(g) = -g - 1. Let q be i(-4). Calculate the smallest common multiple of 1*(q - -3) - -3 and o.
45
Let i(p) = 21*p**3 - 2*p**2 + 3*p - 2. Let r be i(1). Suppose r = 3*z + 2. What is the least common multiple of z and 16?
48
Suppose 8*m - 32 = 8. Suppose w - 6*w + 32 = 2*j, m*w - j - 44 = 0. Calculate the smallest common multiple of w and 8.
8
Let v = -582/77 + 58/11. Find the common denominator of v and 0 + 651/63 + (-1 - -1).
21
Suppose q + 40 = 3*o + 6*q, -44 = -2*o + q. Let t(r) = 4*r + 68. What is the smallest common multiple of t(-13) and o?
80
Calculate the lowest common multiple of 156 and -8 - (6 + -3) - -95.
1092
What is the common denominator of 85/494 and (-20)/(-35) + (-1646)/(-84)?
1482
Suppose 0 = 3*m + 6, -3*c = m + 3*m - 13. Suppose -1 = -4*q + 3. What is the least common multiple of c and q?
7
Suppose -4*i + 28 + 13 = o, 5*i - 50 = -o. What is the smallest common multiple of 36 and i?
36
Let a(b) = -b**3 + 13*b**2 + 6. Let p = -2 + 8. Calculate the lowest common multiple of a(13) and (-5 + p)*(-1 + 3).
6
Let z = -258 + 260. Calculate the least common multiple of 7 and z.
14
Let u(o) = o**2 + 7*o + 12. Let r be u(-5). Let g be 0 + r + (-505511)/22. Let y = -22980 - g. Calculate the common denominator of -125/6 and y.
66
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