Let f = 13642 - 1309723/96. Find the common denominator of f and -73/44.
1056
Let g = -8978619 + 161526349/18. Let m = -19739/4 - g. Let y = 29013 - 1276683/44. Calculate the common denominator of y and m.
396
Let c = 4759 - 66709/14. Find the common denominator of -107/340 and c.
2380
Let y be (25/(-15))/(10*(-3)/36). Suppose 106 = 2*n + 3*n - y*q, -2*n - 2*q + 34 = 0. What is the least common multiple of (-9)/(-2) - (-2)/(-4) and n?
20
Let x be (20/(-65085))/((-4)/(-6)). Let i = x + 82495/117153. Let a = -67591/5 + 13511. What is the common denominator of i and a?
135
Calculate the smallest common multiple of 17/((-85)/(-6))*(-30)/(-3) and 20 - (-3 + ((-27)/(-3))/3).
60
Let h(j) = 21*j + 585. Calculate the lowest common multiple of h(-24) and 162.
162
Let j(m) = 36*m**2 - 11*m + 53. Let u be j(23). Let h = u + -602921/32. Let a = 381/8 + -469/10. Calculate the common denominator of a and h.
160
Let y = 12/7777 + -11774606/147763. Let a = y - -44425/532. Let q = -7696 - -61487/8. Find the common denominator of q and a.
56
Let n = -84 + 112. Suppose 15 = -5*f + 5, 5*z = -4*f + 12. Calculate the lowest common multiple of n and z.
28
What is the common denominator of (32/(-240))/(1460/(-2525)) and 8/25?
10950
Calculate the common denominator of -89/1828 and -1*74/10*(1246/(-392) + 3).
12796
Let l = 1781/132 + 256/33. Let s = 36733/120 + -6097/20. What is the common denominator of s and l?
120
Let n be -3 - ((0 - 9) + -224). Suppose n = -7*f + 734. Calculate the least common multiple of 135 and f.
1080
Let u be -5 + -3 + (-737884)/(-54) + -1. Let b = u + -13657. Calculate the common denominator of 31/198 and b.
594
Suppose -13*z - 17835 = -31534 - 26341. What is the lowest common multiple of z and 60?
9240
Suppose 2*i = -2*i - 150160. Let k = 3754071/100 + i. Find the common denominator of k and 31/8.
200
Let k(a) = -a**3 - 2*a**2 + 32*a + 6. Let x be k(-7). Calculate the smallest common multiple of 60 and 2172/54 + (-6)/x.
120
Let x(z) = z**2 + 3*z. Let s be ((4 + -2)/(-2))/(4/24). Let d(j) = -6*j**2 - 35*j + 8. What is the smallest common multiple of d(s) and x(-6)?
18
Let p(y) = -14*y**2 + 15*y**2 - 9*y - 16 - 5. Let o be p(11). Find the common denominator of ((-274)/(-72))/(0 - o/2) and -43/16.
144
Calculate the common denominator of -9/80 and (-522)/(-40)*(-9 - (-78441)/8712).
1760
Let x be (-2084)/(-3)*(-33)/(-22). Let h = x - 8383/8. Find the common denominator of h and 1/(2/(-89)) + -2.
8
Suppose 5*y = -4*d + 2086, -62*d = y - 58*d - 414. Calculate the least common multiple of y and 22.
418
Let y be 1/2*1586 + -4. Let a = y + -142. Let v = a - 1325/2. Calculate the common denominator of -81/10 and v.
10
Find the common denominator of -49/156 and (-4 - (27 - 29))*(-17)/(-60).
780
Suppose 0 = -33*p + 29*p + 2*g + 12, 4*p = -g + 12. Suppose l - 149 = -3*h + 201, -3*l - 588 = -5*h. Calculate the lowest common multiple of p and h.
117
Let i be (-16)/10*1/(-4)*10. Suppose 64 = i*m - 48. Calculate the least common multiple of 32 and m.
224
Let z = 438/7 + -430/7. Calculate the common denominator of z and ((-100)/(-90))/(-1 - 29/(-33)).
42
Suppose a = 3*p + 41 - 6, 4*a + 20 = -4*p. Let n = -2415/22 + 109. Find the common denominator of n and (-64)/70*p/4.
154
Suppose 3*y + b = 88, 3*y - 7*y - b + 116 = 0. Calculate the least common multiple of y and 1330.
2660
Calculate the common denominator of 50/43 and (-4)/5 - (226548/17415)/(-14).
387
Let u be (342/(-12))/(20/24). Let j = -35 - u. What is the common denominator of -1 - 1 - (-860)/90 and j?
45
Suppose -5*p + 100 = -0*p. Suppose -8*r - 278 = -1702. What is the least common multiple of r and ((-96)/9)/4*(-30)/p?
356
Let v(q) = 26*q + 42. Calculate the smallest common multiple of v(55) and 1088.
25024
Let s(g) = 162*g + 93. Let d be s(-17). Let q = -933 + 3711/4. Find the common denominator of (-4)/26 - (1 - d/702) and q.
36
Suppose 45 = 6*i - i. Let t be 1332/8 + 12/(-24). Let u = t + -145. Calculate the least common multiple of i and u.
63
Suppose -3 = r - d + 3*d, -4*r - 5*d - 9 = 0. Let a be r*7/(-4 - -3). Suppose -a = -z - 0. Calculate the smallest common multiple of z and 4.
28
Calculate the common denominator of (-8)/(-32) + 186/(-80) and (-8)/(-24)*(282/75 + -2).
600
Let o = 4734888643 + -62396362507191/13178. Let b = -13/599 - o. Let d = 3/3863 - -575569/23178. Find the common denominator of b and d.
66
Let w = -39483 + 4974727/126. What is the common denominator of -42/11 and w?
1386
Suppose 106*m - 99*m + 57043 = 0. Let d = m - -513445/63. Find the common denominator of -46/63 and d.
63
Suppose -f = 2*l - 7*l - 169, 3*f - 4*l = 551. Suppose -103*z + 104*z = f. What is the least common multiple of z and 168?
1512
Let b = -1769 - -1768. Calculate the common denominator of 47/260 and b.
260
Let y be (20/15)/(32/1200). Suppose 0 = -8*f + 18*f - y. Calculate the lowest common multiple of 55 and f.
55
Let f(c) = -c**2 - c + 5. Let m(x) = -x**3 - x**2 + 11*x + 15. Let t be m(0). Suppose -t*k = -29*k + 126. What is the smallest common multiple of k and f(0)?
45
Let p = 55760 - 55751. Suppose 5*h - 261 = -2*l, 2*h + 138 = 5*h - 5*l. What is the lowest common multiple of h and p?
153
Let s = -469327/3078030 + 65/4366. Find the common denominator of -5/1269 and s.
6345
Let p(h) = -h + 37. Let r be p(18). Suppose 2*f = r + 5. What is the common denominator of 35/9 and (-3)/f*(-1 + 58/6)?
18
Let i be (-375)/12 - 0 - 19/(-76). Calculate the lowest common multiple of 10 and 5 + (7 - 1)*i/(-93).
70
Let x = -2/1563 + -29585/87528. Calculate the common denominator of 139/210 and x.
840
Suppose 0 = 5*g - 79 - 26. Suppose -1995 = -g*y - 357. What is the least common multiple of y and 12?
156
Calculate the common denominator of ((-20)/(-602))/((3*-6)/((-987)/282)) and 43/4.
1548
Let g(p) = -4*p + 126. Let s be g(12). What is the common denominator of (-4 + 374/32)/(s/8) and 37/117?
468
Let u = 2324753/359302104 - -1/116392. Find the common denominator of -62/315 and u.
15435
Suppose 5*f - 2*f + 66 = 0. What is the common denominator of ((-2)/24)/(f/(-99)) and -67/20?
40
Let w = 15 - -15. Calculate the smallest common multiple of w and ((-30)/8)/(((-36)/6)/(16 + 40)).
210
Suppose 3*f - 1821 = -3*g + 5*g, -5*g - 5*f - 4490 = 0. What is the common denominator of 1/((-98)/g) - 2 and 21/178?
1246
Suppose 3*a - 2 = 4*y, 0 = 4*y - 2*a + 1 + 3. Let l = -5 + 14. What is the smallest common multiple of l and y/(-8) + 0 + 23/4?
18
Let f = 625/4 + -141. Let t = 7145 - 571553/80. Calculate the common denominator of f and t.
80
Let o = 10955/3 + -65609/18. Find the common denominator of (-302)/(-336)*(-4 - -6) and o.
252
Let p = -203267/8529 - 5/5686. What is the common denominator of 73/24 and p?
24
Suppose 80*m = 4*m + 2736. What is the least common multiple of m and (4 + 48/(-5))*-5?
252
Suppose -2*p = -k - 297, 4*p = -p + 3*k + 740. Let f = -143 + p. Calculate the least common multiple of f and 10.
40
Suppose 4413 - 21515 = 2*s. Let k be (-123)/(-4)*s/102. Let o = k - -2574. Find the common denominator of o and -127/12.
24
What is the smallest common multiple of 658 and (-16 - -9) + 43 + (-8)/1?
1316
Let o = -3180 + 50845/16. Find the common denominator of 19/626 and o.
5008
Let d = 122 + -115. Suppose -5*u + n + 85 = 0, -5*u - 2*n = -d*u + 42. What is the lowest common multiple of 246 and u?
1968
Let i(r) = -r**3 + 16*r**2 - 3*r - 168. Suppose 0 = -f + 2*a + 11, -a + 8 = -3*f + 51. Calculate the lowest common multiple of i(f) and 134.
804
Let m be (6 - 6)*(-5 - -4). Suppose 40 = 5*d - 5*v + 3*v, 3*d + 3*v - 45 = m. Let t(y) = 13*y - 50. What is the least common multiple of t(d) and 8?
80
Suppose -29 = -4*f - 41. Let l = -3/10702 - 572491/235444. Find the common denominator of l and (30/8)/f + 6/6.
44
Let i = 57026/5860281 - 16/1559. Let a = -2/11730346051 - 2778062664182587/220471854028545. Let b = i - a. Find the common denominator of b and 21/8.
40
Suppose 5*j - 139 = 101. What is the lowest common multiple of j and 16 + -2 + -4 + (2 - 0)?
48
Let m be (-2470)/80 + 3/(-24). Let o(a) = a**3 + 32*a**2 + 34*a + 107. What is the least common multiple of o(m) and 21?
42
Let p = -6233881/8140 - -8424/11. Let m = p - -4673/740. What is the common denominator of m and (-170)/(-204) + 2/((-24)/(-143))?
20
Let h = 948