84511/11219145859148374067544 - 3/558982742318453. Let v = -3/171544 - k. What is the common denominator of v and (22/20 - 1)/(-2)?
2340
What is the smallest common multiple of 2873 and (37/6 + (-18)/27)*(-598)/(-23)?
31603
Let h = 792808 + -1182869597/1492. What is the common denominator of h and 20/3357?
13428
Let o = -1219/30 + 243/10. Let s = -20553 - -27725999/1349. Let b = s - -130837/10792. Calculate the common denominator of b and o.
24
Let g(u) = -15*u**2 - 12*u + 27. Let p be g(4). Let y = p - -273. Calculate the least common multiple of y and 18.
36
Let g be 19372/(-5628) - (-2 + (3 - 2)). Let h = 438/67 + g. Find the common denominator of h and 29/30.
210
Suppose -7 = 15*f - 67. Let i(h) = 3*h**2 + 5*h - 24. Let q(s) = s**3 - 5*s**2 + 4*s. Calculate the lowest common multiple of i(f) and q(5).
220
Let v be -1416*(1/(-2))/(5 - 4). Let b = -608 + v. What is the least common multiple of 60 and b?
300
Suppose 63*m + 28 = 25*m + 104. What is the smallest common multiple of m and 6?
6
Let k be (-48)/6*(-3 + 11/4). Suppose k*h + 1 - 9 = 0. Find the common denominator of h/(-24)*474/15 and -10/21.
105
Let y = -26540 - -31129. What is the lowest common multiple of y and 1?
4589
Suppose 47*l = 51*l - 12. Suppose -4*s + j = -l*j + 368, 0 = s + 4*j + 112. What is the common denominator of -59/18 and 39/26*10/s?
288
Suppose -72*z = z - 5110. Calculate the least common multiple of 370 and z.
2590
Let b = -1265794 - -75944359/60. Let n be 15 + -7 + -2 - 193/3. Let p = b - n. What is the common denominator of p and 35/26?
260
Let w(b) = 6618*b - 2630. What is the smallest common multiple of w(2) and 14?
74242
Let h = -581/8 - -3791/56. Let t be (8*63)/(-3)*-2. Find the common denominator of 620/t + 3/(-7) and h.
84
Suppose -6*j = 5*m - 2*j - 156, -5*j = m - 27. Suppose -12 + 92 = -55*g + 75*g. Calculate the lowest common multiple of g and m.
32
Let u = 22 + -29. Let z = u - -66. Calculate the common denominator of 97/24 and z/3 + 4/24.
24
Let q = -7339/252 + 119/4. Find the common denominator of 80/693 and q.
1386
Let o = -3107 - 1237. Let z = -152094/35 - o. What is the common denominator of 14/25 and z?
175
Suppose i = 3*g - 30, g - 6*i + 16 = -10*i. Calculate the least common multiple of g and 768.
768
Let z = -1199 - -3529/3. What is the common denominator of -40/8779 and z?
26337
Suppose 4*t + 116 = n + 62, -t - 36 = -n. What is the smallest common multiple of n and (-16)/(-6)*270/72?
30
Let b(r) = -4*r**3 - 2*r**2 + 6*r + 7. Let f be b(-1). Suppose f*w - 249 = -129. What is the lowest common multiple of w and 28?
280
Let r be ((-15)/(-6) - 3)*-348. Find the common denominator of -56/11 and (8/10 + 1)/(r/3915).
22
Let f = 40 - 49. Suppose -66*x + 90*x = 2640. Calculate the smallest common multiple of x and -1*f/((-18)/(-4)).
110
Let i = 2973/4 + -748. What is the common denominator of ((-6)/(-48)*-2)/((-2)/17) and i?
8
Let o = 328 - 324. Let n = -137 - -222. What is the smallest common multiple of o and n?
340
Let h = 187845 + -112331285/598. Find the common denominator of h and 119/78.
1794
Let i = -61 + 64. Suppose -i*w + 4 = -95. Suppose 0 = -7*b + 23 + w. What is the least common multiple of b and 1?
8
Suppose 29*l - 31*l = -6. Let g = 235 - 187. Calculate the least common multiple of g and l.
48
Let u = 144 - 114. Suppose 19*b - u = 14*b. What is the smallest common multiple of b and 6?
6
Suppose 0 = 4*r - 0*r - 4*q - 28, 10 = -2*q. Suppose r*i = 7*i. Suppose 2*x - 54 - 10 = i. What is the smallest common multiple of x and 44?
352
Let l be 2/(-5) - (-40126)/2040. Let u = l - -27/68. Find the common denominator of (-435)/(-18)*((-28)/(-10) + -1) and u.
6
Suppose -4*i = 2*y - 12, 5*y - 3*y + i - 12 = 0. Suppose -y*q - 15*q + 483 = 0. What is the least common multiple of q and 5?
115
Suppose -4*w - 14 = -2, -w = 3*o + 168. Let p = 175 + o. Suppose -10*f + 5*f = -p. Calculate the least common multiple of 57 and f.
456
Suppose 2*p - 84 = 36. Let n = 63 - p. Suppose -n*q + 14 = a - 7*q, 3*a - 4*q = 66. What is the least common multiple of a and 6?
78
Suppose 5*j + 65 = -k + 2*k, -127 = -3*k - 2*j. Suppose 27*a = -3*a - 4*a + 170. What is the least common multiple of k and a?
45
Let z = -9661 - -9701. Calculate the lowest common multiple of 535 and z.
4280
Let p(w) = 54*w**3 - w**2 + 4*w + 4. Let j be p(-2). Find the common denominator of -5 + 0 + (-1704)/j and 6/35.
385
Find the common denominator of -113/7332 and 70/40*4470/(-945).
21996
Let y = -60 - -68. Suppose -4*s = -5*v + 18, -3*s + 18 = -y*s + 4*v. Find the common denominator of -13/3 and (11/528)/(s*2/376).
24
Let v(b) = 88*b - 1172. Calculate the least common multiple of v(29) and 66.
15180
What is the common denominator of (-4)/20 + 15/((-6600)/(-128)) and 157/114?
1254
Calculate the common denominator of (-1)/3 + (-139)/60 and -12 - (-260)/(-2080)*2632/(-34).
340
Let k = 6/283 + -18407/566. Find the common denominator of k and ((-435)/20)/29 + (-714)/(-1352).
338
Let l = -1567939/584267050 - -1/260950. Let a = 1663688/27587 + -90824558635/1482415032. Let f = l - a. Calculate the common denominator of 44/3 and f.
24
Let a = 143 - 139. Suppose i + i + 3*s + 12 = 0, a*i - 2*s = -24. Calculate the common denominator of 8*(-24)/(-1024)*116/i and -23/22.
88
Calculate the common denominator of 28 and -4*(-6)/13408*2120/60.
838
Let r(x) = x**2 - x + 2. Suppose -25*n - 1659 - 616 = 0. What is the least common multiple of r(4) and 20/6*(n/(-35) + -2)?
14
Let u(m) = 3*m + 56. Suppose f + 3 = -z, -3*f - 10 = 5*z - 3*z. What is the smallest common multiple of (29 - f)/(1/1) and u(-15)?
33
Suppose 1 = q - 0. Let g = 7 - q. Suppose 67 = 60*b - 113. Calculate the least common multiple of b and g.
6
Let a = 9/1891 - 33362/255285. Let i = 41743/30 + -4184/3. Calculate the common denominator of a and i.
270
Suppose -3*g - 61 = 317. Calculate the common denominator of (-36)/g - (-207)/476 and 49/18.
612
Let j(a) = -12*a - 4. Suppose 3*m - 3*p - 2*p = 69, -3*m = 2*p - 90. Calculate the least common multiple of j(-4) and m.
308
Calculate the least common multiple of 108 and 21*39/182*(-2 + 20).
324
Let b(n) = -n**2 - 168*n - 18. Calculate the least common multiple of b(-10) and 36.
28116
Let h(i) = i**2 - 5*i**2 + 18 + 7*i + 5*i**2. Suppose 4*c - 4*w + 36 = 0, 5*c + 4*w + 15 = -w. What is the least common multiple of 9 and h(c)?
36
Calculate the common denominator of (49/(4116/5656))/(16/(-6)) and (31/89)/(2/3).
356
Let f be (-448)/(-12) - (-1)/(3/2). Let s = -6969/10 + 703. Find the common denominator of s and f/(-18) + 4/(-18).
30
What is the least common multiple of 22 and (-17)/(119/42) + 281?
550
Calculate the smallest common multiple of -9 + (-275)/(-175)*7/1 and 2834.
2834
Let k(m) = -3*m**3 - m**2 - 12*m - 2. Calculate the lowest common multiple of k(-5) and 76.
7752
Let h(k) = 6*k - 3*k**2 + 0 - 82*k**3 + 0*k**2 + 6*k**2 - 3*k - 1. What is the smallest common multiple of 15 and h(-1)?
405
Suppose -6*r + 16 + 8 = 0. Let j be 1 + r + -2 + -2. Let f = 9 + j. Calculate the smallest common multiple of f and 16.
80
Let y = 6086 + -2406. Calculate the least common multiple of 96 and y.
11040
Let m be (24/(-28))/((18/(-168))/1). Let r = -1575 - -25251/16. Find the common denominator of r and (0 - (-2)/m)/(85/1394).
80
Let k be 401355/(-378) - (-4)/14. Let h = 1030 + k. Let j = 8411 + -168269/20. What is the common denominator of j and h?
20
Let z = -1438/7 - -115831/560. Let w = 30/5789 + -703469/578900. Calculate the common denominator of z and w.
400
Let j be 1352/8*(-60)/(-55). Let k = j + -183. Find the common denominator of k and -70/243.
2673
What is the common denominator of -3*(-39)/403*(1290/(-656) + 2) and 53/12?
30504
Let l = -5949/1060 + 210/53. Let y = -100837426511/28126810 + -2/2812681. Let d = 3589 + y. Calculate the common denominator of l and d.
20
Suppose 372 + 486 = 22*o. Suppose -58*u + 1330 = -o*u. What is the lowest common multiple of u and 50?
350
Calculate the common denominator of -131/252 and -4 - (241/(-56) + (-4)/(-8)).
504
Let a = -1158/11 - -9517/88. Let w = 6/3397 - 52221/716767. Let t = w - -9133/844. Find the common denominator of t and a.
8
Suppose 325 + 965 = 15*b. Suppose 15*f - 4 = b. Calculate the least common multiple of (2 + 2)/((-1)/(-5)) and f.
60
Let f(p