
Let o = -200 - -120. Calculate the common denominator of 1/(-6)*(-1260)/o and -179/30.
120
Let j(b) = 18*b - 6. Let k be j(-3). Let g = k - -92. Suppose g = 3*a + a. What is the least common multiple of a and 2?
8
Find the common denominator of 0 - (2 + 53/(-27)) and 127/6.
54
Let q be (-8)/(-4) - (23307 - (-2)/(-2)). Let k = q - -559379/24. What is the common denominator of -49/22 and k?
264
Let h = -14278/9 - -1696769/1071. Let l = 1822171/476 - h. Let d = l - 3851. Calculate the common denominator of d and 41/16.
16
Let a = 851 + -847. Calculate the lowest common multiple of a and 92.
92
Let b = -47176/11 + 4284. What is the common denominator of -2/9 and b?
99
Let i = 27 + -15. Let q be ((-18)/i)/(42/(-224654)). Let k = q - 8018. Calculate the common denominator of -7/2 and k.
14
Let n = -9247 + 268135/29. What is the common denominator of n and 53/9?
261
Suppose l - 4*m = -0*l - 388, -3*l + 5*m - 1136 = 0. Let y = l + 1040/3. Find the common denominator of y and -26/9.
9
Let l be 3 - (-438 + -1 + 2). Let t = l - 2663/6. Calculate the common denominator of (27/(-60))/(21/14) and t.
30
Let a = -27 - -329. Calculate the smallest common multiple of 22 and a.
3322
Let m = 407 + -785/2. Let f be (-1)/14*(-365730)/16. Let s = f - 11468/7. Find the common denominator of s and m.
16
Let j = -1328761/80 + 16610. Find the common denominator of j and 37/8.
80
Let a(p) = p**2 - 6*p - 10. Let x(z) = -z + 7. Let c be x(-3). Let l(i) = 9*i**2 + i. What is the least common multiple of l(1) and a(c)?
30
Let p = 136/805 + -17518/21735. What is the common denominator of p and -53/90?
270
Let j = 2 - 8. Let a be 6/(-1 + 14/8). What is the least common multiple of (-42)/4*a/j and 8?
56
Let q(n) be the first derivative of 5*n**4/4 + 2*n**3/3 - 31. Let m(o) = o**3 + 5*o**2 - 8*o - 3. What is the smallest common multiple of q(1) and m(-6)?
63
Let k = -2673 - -8036/3. Find the common denominator of k and (-133)/12 - -1*1.
12
Let r = -6400/23 - -457787/1656. What is the common denominator of r and -31/45?
360
Let a be 4265 + 0/4*1. Let s = -125/20727 - -885396509/207270. Let u = a - s. Calculate the common denominator of -91/10 and u.
10
Let g be ((-3208251)/23)/(5315/(-27)). Let b = g - -6/24449. Let x = b + -31657/45. Calculate the common denominator of -1/4 and x.
36
Let s be -3*4/12 + (4 - -38). Suppose 2*t = 2*y + 5 + 13, 0 = 4*t - 3*y - s. Calculate the smallest common multiple of t and 24.
168
Let r(u) = 6*u + 1. Let k be r(2). Let p = k + -18. Calculate the lowest common multiple of 16 and ((-3)/p)/(2/20).
48
Suppose 2*n - c = 4*c + 14, -5*n - 2*c + 6 = 0. Suppose 2*z - 54 = -n*m, -z = 2*m + 4*z - 54. What is the lowest common multiple of 3 and m?
27
Let v(i) = -20*i - 1 + 8*i + 5*i - 1. Let r be v(-2). Calculate the common denominator of -65/16 and (-6 - -4) + 286/r.
48
Let p = -627/710 + 84458/111115. Find the common denominator of p and -59/18.
5634
Suppose -2*v - 2*r + 68 = 2*r, -2*r + 106 = 3*v. Suppose -q + 5*i - 54 = -4*q, 0 = 2*q + i - v. Calculate the lowest common multiple of q and (-6 + 1)/(-1) + 1.
18
Let n = 637/150 + 34/75. Suppose 0 = -2*p + 5*d - 22, 3*p - 3*d = 4*p. What is the common denominator of (-2)/p - (-104)/66 and n?
110
Suppose -49*i + 673 + 4472 = 0. Calculate the smallest common multiple of i and 70.
210
Let u(k) = -k**3 + 20*k**2 - k + 23. What is the least common multiple of u(20) and (-3 - -1)*(0 - 2)?
12
Let p(o) be the second derivative of o**4/6 - o**3/3 - 3*o**2 - 2*o. What is the least common multiple of 22 and p(3)?
66
Calculate the common denominator of 27/36 - 1/(-11)*(-175)/4 and 2 + -1 + (-162)/(-28).
154
Let r be ((-1)/2)/((-9)/18). Let b be r/(-2) + 9606/(-4). Let v = b + 28775/12. Calculate the common denominator of v and -81/8.
24
Suppose -2*r + 74 = -2*j - 0*j, 2*j + 39 = r. Calculate the least common multiple of r and 56.
280
Let p be (15/(-9)*-5979)/2. Let j = 99763/20 - p. What is the common denominator of j and 47/4?
20
Let z be (-15)/45 + 22946/6. Let i be 2/4 - 1924/z. Let t = -6152/717 + i. Calculate the common denominator of t and -39/22.
132
Suppose -5*p = n - 39, 0 = -3*n - 2*n - 2*p + 126. What is the least common multiple of n and 27?
216
Calculate the least common multiple of (-15)/(-5)*(-23 - -24) and 394.
1182
Let w = -93 - -96. Suppose 0 = -k - 2*m - 4, w*m - 3 = 2*k - 5*k. Let y(d) = -d**2 - 7*d - 4. Calculate the smallest common multiple of y(-6) and k.
6
Let p = -5003074 + 8405163799/1680. Let w = p + -81/112. Calculate the common denominator of 29/10 and w.
30
Calculate the common denominator of (-2)/(-6)*-1 - (-301)/28 and 127*(-2)/66 + (4 - 1).
132
Let w be -1 + 1 + -3 - -326. Suppose -9 = -2*p + w. Let i = 381/2 - p. Calculate the common denominator of i and -32/5.
10
Let d = 175649 - 2119393/12. Let o = -965 - d. Calculate the common denominator of o and 71/8.
24
Let l be (-4)/18 + (-2)/(-9). Suppose -15 = -3*o, 2 = -l*a + a - 4*o. What is the least common multiple of a and 14?
154
Let l = 42074/5571 - -2/619. What is the common denominator of -63/2 and l?
18
What is the lowest common multiple of (5/(15/54))/(21/28) and 8?
24
Let v(i) = 10*i + 7. Let x be v(-4). Let h = x - -14. Let k = h - -28. Calculate the least common multiple of 9 and k.
9
What is the common denominator of 14/11 and (0/(-3) - -3) + (-1442)/560?
440
Let q be (-1125)/12 - 6/(-8)*1. What is the common denominator of (q/20)/(12/15) and 97/24?
48
Let b = -78803/19250 + 407/125. Find the common denominator of b and -143/6.
462
Let w(j) = -j - 2. Let k be w(-5). Suppose 4*y + 5*h = k*y + 36, -y + 12 = -h. Calculate the lowest common multiple of 12 and y.
48
Let d(j) = 0 - 6 - 4*j - 2*j**2 + 3*j**2 - 1. Let h be d(5). What is the common denominator of 99/10 and (-2)/(-4)*69/h?
20
Let m = 153853/12 + -12813. Let p = -547 + 8665/16. Find the common denominator of m and p.
48
Let o(w) be the first derivative of -w**4/2 + 11*w**3/3 + 9*w**2/2 - 30. What is the lowest common multiple of 4 and o(6)?
36
Let g be ((-55)/4)/(6/24). Let a = -85 - g. Calculate the common denominator of (1/9)/((-3)/a) and 4/3.
9
Let x = -528 + 349. Let o = 193 + x. Suppose -4*a - y = -56, 56 = -2*a + 6*a + 5*y. Calculate the least common multiple of o and a.
14
Let r(m) = -m**2 + 5*m + 4. Suppose -5 - 47 = z. Calculate the least common multiple of 3/4 + z/(-16) and r(5).
4
Let u(m) = -2*m - 20. Suppose k - 5*k + 12 = 0, 0 = 2*s - 4*k + 40. What is the least common multiple of u(s) and 7?
56
Let n = -16/11 + -805/44. What is the common denominator of -33/478 and n?
956
Let v be 16/(-12)*9/(-2). Let u be 88295/44*v/(-5). Let l = 2410 + u. Calculate the common denominator of -69/22 and l.
22
Find the common denominator of (1*(-34)/(-12))/(153/(-204)) and 59/78.
234
Suppose -3*o - 12 = 0, 12*k + 3*o = 9*k - 3. Calculate the least common multiple of 76 and k.
228
Let g be 105/84 + 2/(-8) + 1024. Let h be (-10202)/20*2 + -1. Let l = g + h. Find the common denominator of l and 49/9.
45
Let y = 1030 + -12401/12. Find the common denominator of y and -17/30.
60
Let c = 5 - -7. Suppose z + 2*z - 135 = -3*o, 0 = -3*o - 9. What is the lowest common multiple of c and (-36)/z - (-150)/8?
36
Suppose -b + 40 = r + 12, 5*b = -3*r + 88. Suppose -40 = -25*v + r*v. Calculate the common denominator of (v/(-25) + -2)*31 and 85/12.
60
Suppose 3*b = 15 - 0. Let h(r) = -4*r + 32. Calculate the least common multiple of 2 and h(b).
12
Calculate the least common multiple of 1644/48 + (-6)/(-8) and 10.
70
What is the common denominator of (-2 + 196/88)*234/60 and 32/7?
308
Let s = 28/25 + 539/300. What is the common denominator of -49/18 and s?
36
Let v(a) = -2*a**3 - a**2 + 5*a - 1. Let w be v(2). What is the lowest common multiple of 22/w - (1 + -9) and 26?
78
Let x(u) = -u**3 - 5*u**2 - 7*u - 4. Suppose 5*k = -4*m - 6, 5*m - 346 = -3*k - 360. What is the smallest common multiple of x(-4) and k?
8
Let n = -2318 + 32423/14. What is the common denominator of n and (3 + -1 - 103)/(-3 + 21)?
126
Suppose 2*i - 86 = -0*i. Calculate the lowest common multiple of (-4)/(-10) + i/5 and 5.
45
Let c(q) = -q**3 - 11*q**2 - 23*q + 30. Calculate the smallest common multiple of c(-8) and 10.
110
What is the common denominator of (11/891)/((40/(-21))/5) and 19/108?
216
Suppose 0 = -b - 105 +