0
Let m = -3148/31 + -19631/155. Let r = m + 2249/10. What is the common denominator of (73/(-16))/1 + 0 and r?
80
Let y = 15 - 9. Suppose 0 = 3*b - 13 - 2, -2*t = 3*b - 9. What is the smallest common multiple of (-22)/(15/t - -3) and y?
66
Let h be 18/45 + 22/(-5). Let n be (1 + 44)/((-6)/h). Find the common denominator of -36/11 and 0 - (-3 - (-273)/n).
110
Suppose -12*t + 17*t = 2*v + 280, -280 = -5*t - v. Calculate the lowest common multiple of t and 16.
112
Suppose 94 = 2*f - y, -2*y - 2*y - 136 = -3*f. Calculate the least common multiple of 36 and f.
144
Let p(i) = i**3 - 7*i**2 + 7*i - 7. Let o be p(6). Calculate the smallest common multiple of 20 and (o - 29)*(-26)/65.
60
Let y = -264889/382008 - -1/4341. What is the common denominator of 27/110 and y?
440
Let z(g) = -2*g + 4. Let h be z(-9). Let o = -4 + h. Calculate the lowest common multiple of 2 and o.
18
Let x be 0 - 3 - 1996698706994/9824. Let k = 203247022 + x. Let a = k - -10/307. Calculate the common denominator of a and 19.
16
Let z = 3119 - 34334/11. Suppose 1236 = 13*p - 14*p. Let k = p + 3745/3. Calculate the common denominator of k and z.
33
Suppose 0 = -4*f - f + 20. Suppose f = 6*k - 2*k. Calculate the least common multiple of 4 and (1*-3)/(0 - k).
12
Let b = 130 - 131. What is the smallest common multiple of 0 + (-6)/(-3) - b - -3 and 20?
60
Let l = 1 + 7. Let d be 398/10 - (-14)/70. Suppose 3*y - 88 = -d. What is the lowest common multiple of l and y?
16
Let m = -6113 - -5984630/979. Let g = 39187/8811 - m. Calculate the common denominator of 41/7 and g.
63
Suppose 36*n - 360 = -9*n. What is the smallest common multiple of 10 and n?
40
Let f(n) = n**3 - 7*n**2 + 3*n - 4. Let x be f(3). Let s = 61 + -86. Let m = s - x. Calculate the least common multiple of 6 and m.
6
Calculate the common denominator of (((-832)/(-216))/(-13))/(5/(-33)) and 11/105.
315
Let o = -4 + 0. Let r = -2/6057 - 430039/24228. What is the common denominator of 2 + -5*o/(-14) and r?
28
Suppose 0 = -5*o + 4*w + 567, 0 = o - 12*w + 8*w - 107. What is the smallest common multiple of o and 11?
1265
Suppose j + 483 - 517 = 0. Calculate the common denominator of 25/24 and j.
24
Suppose -6*a + 3*a + 2*n + 27 = 0, -23 = -a - 4*n. Suppose -g + 2*g - 137 = -3*q, 2*q + 5*g = 100. Calculate the lowest common multiple of q and a.
495
Calculate the common denominator of (-97*(2 - 3))/246 and 65/24.
984
Calculate the common denominator of ((-693)/147)/((-16)/14) and 1*(-237)/15 - (-5 + 1).
40
Calculate the common denominator of 3 + (22/46)/((-90)/550) and -13/253.
2277
Suppose -n = 3*x - 51, -3*x = -n + 2*x + 11. What is the common denominator of n and -43/7?
7
Let c = 780766/247 - 3161. Let p = 5687/1482 + c. Find the common denominator of -7/22 and p.
66
Let n(y) = y**3 + 8*y**2 + 3*y + 12. Let i(r) = -1549*r**2 + 1. Let t be i(1). Let z = -15449/10 - t. Find the common denominator of z and n(-8).
10
Suppose 35 = -7*k + 91. Suppose -28 = -5*u - k, -4*t = -u - 52. What is the lowest common multiple of t and 6?
42
Calculate the least common multiple of 28 and (-8)/((-32)/(-20))*-7.
140
Let m = -16/97 - 5177/2134. Find the common denominator of 9/82 and m.
902
Suppose 5*c + 4*j + 25 = 8*j, -3*c - 3*j - 15 = 0. Let h = -4483/3 - -11937/8. Find the common denominator of h and (-2)/(16/(-25)) - c.
24
Let j = -682 - -1383/2. Calculate the common denominator of -119/12 and j.
12
Let d = -11845003/16 + 739934. Let u = 376 + d. Calculate the common denominator of 61/12 and u.
48
Let b = 205714604/569 + -361537. What is the common denominator of -37/8 and b?
4552
Suppose 7*y - 42 = 4*y. Calculate the common denominator of y/20 - 3/(-9) and 109/10.
30
Suppose -32 - 1 = 3*u. What is the smallest common multiple of (6/(-8) - -1)/((-6)/(-48)) and (-712)/(-44) + 2/u?
16
Suppose 5*x - 8 = 42. Suppose -x = -2*o + 6. What is the smallest common multiple of o and 9?
72
Let l = 3399 - 37362/11. Let b = -296 - -291. Find the common denominator of b and l.
11
Let s = 2049/112 - 6/7. Let t = -2211/80 + s. What is the common denominator of t and -2*3/(-48)*70?
20
Let m(d) be the third derivative of -6*d**6/5 + d**5/60 - d**3/6 + 4*d**2. Let f be m(1). Calculate the least common multiple of (f/(-40))/(6/20) and 14.
84
Suppose -2*p - 4*f = -0*p - 476, -4*p + 937 = 3*f. Calculate the least common multiple of p and 18.
2088
Let y(b) = -2*b**3 - 3*b**2 - 5*b - 6. Let n be y(-2). Suppose s - 26 = -n. What is the lowest common multiple of 12 and s?
36
Suppose -v = 4*z - 5*v + 28, -5*z = -4*v + 35. Find the common denominator of -3 + -5 - z - (-34)/(-88) and -19/6.
132
Let w = 4355/1288 + -109/56. Find the common denominator of w and -23/6.
138
Let p = -540765/22 - -24585. Let h(s) = 6*s - 2. Let z be h(-7). What is the common denominator of (-1)/2 + (-24)/z and p?
22
Let k = -204 + 206. What is the smallest common multiple of 10 and k?
10
Suppose 0 = -a - 1. Let f be 9/(1/(-2) + a). Let s(n) = -2*n - 6. What is the smallest common multiple of 6 and s(f)?
6
Let s(v) = -17*v**3 - v**2 + 1. Let r(n) = -n**3 - 26*n**2 - 83*n + 120. What is the smallest common multiple of r(-22) and s(-1)?
170
Suppose 4*y = -4*x + 84, 0 = 4*y + 110*x - 105*x - 81. Suppose -3*i + 36 = -0*i. Calculate the least common multiple of y and i.
24
Suppose b - 3 = 6. Let c be (1 + (-3)/9)*(-3 + 0). Let q = 19 - c. What is the lowest common multiple of q and b?
63
Suppose 0 = 2*v - 3 - 27. Let t(o) = o**3 + 12*o**2 - o + 7. Let l be t(-12). Let a = l - v. What is the smallest common multiple of a and 4?
4
Let y(v) be the second derivative of 54*v**5/5 + v**4/12 + v**3/3 - v**2/2 + 4*v. Let n be y(2). Find the common denominator of (-2)/10 - n/(-50) and 47/22.
22
Suppose 29 + 23 = -2*m. Find the common denominator of 16/7 + (0 - -2) and (m/3)/(28/(-18)).
7
Let r(i) = 6*i**3 - i**2 + 1. Let p be r(-1). Let g = 16 + p. What is the smallest common multiple of g and 8?
40
Let c = -207335/44 + 4711. Calculate the common denominator of c and 85/48.
528
Suppose 4*s + 17 = 4*o + 137, s + 2*o = 45. Calculate the common denominator of 409/s + 1 + 4/(-14) and 25/4.
20
Let k(m) = -m + 11. Let l be k(9). Suppose -5 - 13 = -l*v. What is the lowest common multiple of 5 and v?
45
Find the common denominator of -5/12 and 1/744*(-167880)/80 + 3.
1488
Let q be 8/14*(-28)/(-8). Let c = q - 0. Let n(p) = -2*p + 2. What is the smallest common multiple of n(-2) and c?
6
Let q(r) be the first derivative of -5*r**4/2 + r**3/3 + r**2/2 - 2. Let b(x) = -x**2 - 11*x + 10. Calculate the least common multiple of q(-1) and b(-10).
20
Let p = -1462 - -26309/18. Let c = -423/1760 - 9/220. What is the common denominator of c and p?
288
Suppose -3*m + 0*s = s - 51, 57 = 3*m - s. What is the least common multiple of 43 and m?
774
Suppose -60 = -4*r - 4. Calculate the smallest common multiple of 30 and r.
210
Let r = -2774 + 11187/4. Calculate the common denominator of r and -4/93.
372
Let p(n) = -n**2 - 6*n + 4. Suppose 2*w - 174 = -27*w. Calculate the lowest common multiple of w and p(-5).
18
Let i = 107703/110 - 4909/5. What is the common denominator of 4/(-2) - (-1243)/88 and i?
88
Suppose 2*f - 82 = w - 3*w, 5*f - 3*w = 165. Let z = f - 16. What is the smallest common multiple of 10 and 12/(-10)*z/(-6)?
20
Let x = 4 + -16. Find the common denominator of 2 - (-2 - 190/x) and (-194)/180 + 4/(-18).
30
What is the common denominator of 3/(-12) + 137/20 and (2/12)/(3/(-8))?
45
Suppose 1997*w + 696 = 2000*w. Calculate the smallest common multiple of 16 and w.
464
Suppose 59 - 87 = -2*g - 5*l, 4*l + 14 = g. What is the smallest common multiple of g and 50?
350
Calculate the common denominator of -38 - -39 - 10/(-17) and -25/119.
119
Let s = 175 - 131. Calculate the lowest common multiple of 2 and s.
44
Let f = -1098242/495 - -19973/9. Calculate the common denominator of f and 91/270.
2970
Let m be 2/(-6) + 315/(-27). Let u be 166/(-2)*1 - 0. What is the common denominator of u/m*(-4 - -2) and 41/8?
24
Suppose 18*v + 165 = 309. What is the lowest common multiple of 2 and v?
8
Let x be 9 + -5 - (-457012)/(-146016). Let c = -1/4056 - x. What is the common denominator of 37/6 and c?
54
Let a(u) = u**2 - 2*u + 2. Suppose 28 = 5*o - 3*o - 4*g, 0 = -4*g - 4. Calculate the least common multiple of a(3) and o.
60
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