555. Let f = -345713/32 - d. What is the common denominator of f and (-143)/(-6) - 2 - 0?
96
Find the common denominator of ((-272)/9 - -2)*-36*35/18480 and -69/22.
66
Suppose -2*l = -3*l - 15. Suppose -2*j + 34 + 16 = 0. Let n = l + j. What is the smallest common multiple of 4 and n?
20
Let d = 477527 + -477455. Suppose 4*i = 4*j - j + 44, -2*j - 8 = 0. What is the smallest common multiple of d and i?
72
Suppose -3*f + 0*f + 24 = 0. Let b = f - 12. Find the common denominator of -89/10 and (6 - 5) + (-95)/b.
20
Let n be ((-57)/(-18) + -1)*(-186156)/(-144). Let g(d) = -112*d**2 - 5. Let k be g(-5). Let p = n + k. Find the common denominator of -23/21 and p.
168
Let b = 142279/252985 - 12/2663. Calculate the common denominator of 79/342 and b.
1710
Let x(r) = -843*r**3 + r**2 + 2*r + 1. Let p be x(-1). Let v = p - 1737/2. What is the common denominator of ((549/36 - 15)/(-1))/(1/(-37)) and v?
4
Find the common denominator of (-96 - 1)*-2*22/704 and 41/2682.
21456
Let y = -37875/8 - -4723. Let m = 9579/42040 - 3/1051. What is the common denominator of m and y?
40
Let t = 117 + -108. Let p(z) = -z**3 + 11*z**2 - 11*z + 3. Let m be p(t). Find the common denominator of m/1269 + 16/(-72) and -47/8.
376
What is the common denominator of ((-605)/30)/(-6 - (3 - -6)) and -2 + -1 + 1084/252?
630
Suppose -87*v + 76*v = 4774. Let d = -422 - v. What is the lowest common multiple of 33 and d?
132
Let a = 9380 + -9348. Calculate the smallest common multiple of a and 892.
7136
Let q be 4/18 - ((-74998412)/(-8298))/(-2). Let g = 13558/3 - q. Let i = g - -13787/11064. Calculate the common denominator of i and -83/20.
120
Let d = -75913706/2392625 + 3966/125. Let y = d + -1971443/382820. What is the common denominator of -35/12 and y?
60
Suppose -3*k + 50 = -4*k. What is the common denominator of (-18)/15 + 1 - (-611)/30 and 1/1 + 605/k?
30
Let t(x) = x**3 + 66*x**2 - x + 288. What is the least common multiple of 544 and t(0)?
4896
Let b = -406574557/4070 + 1098789/11. Let r = -205/37 + b. Let z = 89935/3708 + -4/927. Calculate the common denominator of z and r.
20
Let x(i) = 30*i**3 - i - 1. Let q be x(2). Let d = 267 - q. Suppose -4*v + 17 + 7 = 0. What is the smallest common multiple of v and d?
30
Let k = -3001 + 17875/6. Let h be (44425/10 - -5)/(1/(-2)). Let x = h + 240139/27. Calculate the common denominator of x and k.
54
What is the common denominator of 79/1708 and (17 - 2330/(-20))/(-66)?
18788
Let j = -8866/10609095 + -9/2645. Find the common denominator of -57/5 and j.
20055
Let d = 18584393/574 + -32377. Let h = d - 5534/7175. What is the common denominator of h and -59/10?
50
Calculate the least common multiple of 381 - (-30)/(7 - 2) and 473.
4257
Let a(v) = -v**3 + 4*v**2 - v + 16. Let m be a(5). What is the smallest common multiple of ((-44)/m)/(17/238) and 8?
88
Suppose 12 = -4*t + 3*t + a, -a + 5 = 0. Let o(c) = c**2 - c - 2. Let r be o(0). Find the common denominator of -81/8 and (r/(-4))/(t/(-665)).
8
Suppose -2*i = 12 - 2. Let p be -4 - 2/(5/i). Calculate the least common multiple of 11 and (46 + p)*1*3/6.
22
Let y(v) = 326 - 6*v + 14*v - 94 + 7*v + 2*v. Calculate the lowest common multiple of y(-13) and 1/(2 + 34/(-18)).
99
Suppose 22*x - 5*x - 289 = 0. Let f = x - -5. What is the lowest common multiple of 2 and f?
22
Let j(v) = v**2 - 5*v - 29. Let m be j(13). Let u = 75 - m. Calculate the smallest common multiple of 924/60 + ((-6)/(-10) - u) and 44.
176
Suppose -2*a = -n + 939, -2*n - 3*a + 1627 = -272. What is the smallest common multiple of 720 and n?
15120
Let d(x) = -x**3 - 2*x**2 + x - 4. Let s be d(-3). Calculate the smallest common multiple of 17/s - (-2 + (-6)/(-4)) and ((-15)/(-10))/((-9)/(-30)).
45
Let v = 3225/54221 - 845060138/1533749427. Let o = v + 14/449. What is the common denominator of 62/35 and o?
315
Suppose -2*r + 33 = g, 2*r + 3*r + g = 87. Suppose 0*v - 3*v - f = -37, -f - 11 = -v. What is the least common multiple of r and v?
36
What is the common denominator of -81/14 and ((-1)/1078)/((-2)/(-564))*427/610?
770
Let s = 36 - 26. Suppose -14*h = 55*h - 276. What is the lowest common multiple of s and h?
20
Let l = 97 + -48. Suppose -10*w + l = -3*w. What is the least common multiple of w and 18?
126
Let v = 9 - 1. Let o be (-1670)/(-120) - (-4)/48. Suppose v + o = 2*u. Calculate the lowest common multiple of 4 and u.
44
Suppose -126 - 104 = -5*l. Suppose 234 = 6*c - 19*c. What is the least common multiple of l and ((-153)/c + -7)*(-2)/(-1)?
138
Let t be (-3)/6*(0 + 7 - 2). Let v = -9/5 - t. What is the common denominator of v and 31/6?
30
Let p be 1 - (3/6)/((-2)/(-8)). Let n be 16/12*63118/96 + p. Let f = n + -3485/4. Find the common denominator of 76/33 and f.
198
Find the common denominator of -20*(-1)/14 + (-40358)/24276 and 19/672.
11424
Let x = -149 - -55. Calculate the common denominator of -17/97 and (-6)/33 - (6 - x/(-22)).
1067
What is the least common multiple of 36 and 10 - (-7688 + -17 + 20)?
30780
Let j = -23055661/738 - -93722/3. Find the common denominator of j and -101/54.
2214
Let s = -3384 + 3550. Calculate the smallest common multiple of s and 40.
3320
Let d = 387 - 384. Suppose d*z - z + 34 = b, -3*z + 84 = 3*b. Calculate the smallest common multiple of b and -1*(-1)/(2/12).
30
Let x(h) = -h. Let s(n) = 13*n + 30. Let t(i) = s(i) + 6*x(i). Let c be t(-12). Calculate the common denominator of 13/6 and (-32)/(-27) + 12/c.
54
Let v = -1255 - -12441/10. Suppose 3*q = 11898 - 3870. Let a = -13329/5 + q. What is the common denominator of a and v?
10
Suppose -17 = 5*v + 3*d, -5*d + 24 = -3*v + 7. What is the common denominator of 13/5 and (-7740)/600 + (v/(-2) - -1)?
10
Let b = 35776129/136 + -263061. Let q = b + 6869/6120. Find the common denominator of -5/24 and q.
360
Let v = -40469/677648 + -3/82640. Find the common denominator of v and -61/4.
820
Suppose -28*g - 203 = -57*g. What is the smallest common multiple of g and 26?
182
Let y = -94 - -46. What is the lowest common multiple of (-828)/y + (-15)/12 and 6?
48
What is the least common multiple of 244 and (-48)/((-288)/384*(-2)/(-2))?
3904
Calculate the least common multiple of (-41298)/(-7) - 116/(-406) and 1770.
17700
Let g be (4 + -3)*((-3 - 0) + 5). Let r be (3 - 6/g)*(1 - 0). Find the common denominator of r + (2 - 327/81) and -7/9.
27
Suppose -3*t - 2*k = -k + 241, -4*t - 330 = -3*k. Let v be 8/3*(-270)/(-24). What is the common denominator of 19/33 and (v/t)/(4/(-14))?
297
Let r = -18 + 84. Let i be 0 - (-12417)/60*r. Let d = 13670 - i. What is the common denominator of 65/18 and d?
90
Suppose z - 9 - 12 = 0. Let p = 30 + -16. Suppose t - p = 1. Calculate the lowest common multiple of t and z.
105
Let w(h) = 3*h - 13. Let f be w(6). Suppose -3*j = -4*l - f, 5*l + 12 + 1 = -3*j. Calculate the common denominator of (-91)/52*7/l and 169/30.
120
Let o(w) = 13*w - 9. Let t be o(4). Let u = 63 - t. Suppose -2*d + 6*g = 2*g - 24, -u = -4*g. What is the lowest common multiple of 11 and d?
22
Suppose 523 + 787 = 5*s - 2*t, -4*t + 812 = 3*s. Let m = -250 + s. What is the least common multiple of m and 6?
42
Let h = 292018/15 + -19472. What is the common denominator of 7/2995 and h?
8985
Let q be 9/((5/3)/1). Let d be (3/(-10))/((-16)/4960*15). Let m = q - d. What is the common denominator of -49/5 and m?
5
Find the common denominator of 4/231 and 102/(-10) - (121 - 123).
1155
Suppose -6*x + 13152 = 18*x. Let n = x + -503. Calculate the lowest common multiple of 15 and n.
45
What is the smallest common multiple of (12 - 1170/100)*20 and 3214?
9642
Find the common denominator of ((-440)/1200 - -1)/((-4)/50) and (-3)/3 - 113/(-64).
192
Let k be 1794/7*(57/(-76) + (-170)/(-120)). Let n = 414944 + -5811653/14. Let d = n + k. Calculate the common denominator of 111/22 and d.
154
Let y = -411181/553806 - -1/25173. Calculate the common denominator of (-231)/(-54)*(0 - (0 + 1)) and y.
198
Let m(p) = p**3 - 25*p**2 + 46*p + 62. Calculate the least common multiple of 60 and m(23).
1860
Let l = -320 - -938. Let i = 15426/25 - l. What is the common denominator of 32/3 and i?
75
Suppose -19*m + 48 = -17*m. Find the common denominator of 31/32 and 474/(-224)*((-40)/m)/5.
224
Let m(n) = n**2 - 8*n + 13. Let b be m(4). What is the common denominator of (-214)/(