ator of n and d.
154
Suppose 3*u + 6888 = -2*g - g, -2*u + 2*g = 4588. Let j = u + 9089/4. Calculate the common denominator of -1*((-2124)/(-8))/9 and j.
4
Let n = -15787 + 15899. Calculate the least common multiple of n and 1504.
10528
Let w be ((-2)/30)/((-84)/8900440). Let n = w + -7064. Calculate the common denominator of n and 47/21.
63
Let t be 5/(-3)*(-288)/2. Calculate the common denominator of 6/9 - 838/t and (-459)/80 + (-29 - 4774/(-155)).
80
Suppose 2*p + 48 = 4*p. Suppose 14*w - 15*w = -64. Let k = -24 + w. Calculate the smallest common multiple of k and p.
120
Let x = 91/1361 + -129359/326640. What is the common denominator of 121/240 and x?
240
Let m be -3 + 6/((-2)/1). Let q be (44649/(-684))/((-105)/m). Let u = q - -4/133. Calculate the common denominator of u and 149/12.
60
Let r(d) be the third derivative of 3*d**4/8 + d**3/2 + 2*d**2. Let y be r(-3). What is the least common multiple of (-141)/(-18) + (-4)/y and 22?
88
What is the common denominator of (77/1638)/(560/(-490)) and 1/80?
9360
Let o be ((-22)/1)/((-185)/30 + 6). Suppose -12 = -4*a + o. What is the smallest common multiple of 27 and a?
108
What is the common denominator of -53/9 and 45/(-855)*(-3)/6*89?
342
Let m = 491624964009/7538180 + 15078/144965. Let j = -65216 + m. What is the common denominator of j and -16/117?
468
Let t(v) = v**2 + 17*v + 29. Let j be t(-9). Let k(h) = -h**3 + 8*h**2 + 10. What is the least common multiple of 56/140 + j/(-5) and k(8)?
90
Calculate the common denominator of -35/354 and (15/(-1))/(-3) + (0 - 21951/4248).
1416
Let i(s) = s**3 - 10*s**2 + s - 3. Let q be i(10). What is the least common multiple of 56 and 16/56*14 + q?
616
Let u = 256609/22 - 11669. Let c = 77 - 37. Calculate the common denominator of 62/c + (-10)/25 and u.
220
Let x = 41766/25 - 1671. Calculate the common denominator of ((-8)/(-12)*(-2088)/240)/((-2)/4) and x.
25
Let n(w) = -2*w**2 + 505*w - 9923. What is the smallest common multiple of (-14 - 2)/(2/(-8)) and n(231)?
320
Let w be ((-42)/4)/((-15)/(-145)). Let y be (-1406)/12 - (-15)/10. Let q = w - y. Calculate the common denominator of q and 13/16.
48
Suppose 39*a - 43*a + 376 = d, -2*a = -5*d + 1748. Calculate the lowest common multiple of d and 440.
1760
Let a = -59293/64360 - 6/1609. What is the common denominator of a and (-13)/195*1190/4?
120
Let w be ((-100)/(-8))/((-2)/(-4)). Suppose 4*l = -2*a + 4*a - 8, 4*a = -l + w. Suppose 0 = a*y - 0*y - 72. What is the lowest common multiple of y and 2?
12
Let d = 2660 - 2620. What is the lowest common multiple of 168 and d?
840
Let v = 2317991/6 - 386357. Let g = 71949857 - 1294599865/18. Let o = g + -27635. What is the common denominator of o and v?
18
Let s be (-36)/(-45) + (-442)/(-10). Suppose 0 = g, s*o - 5*g + 165 = 50*o. What is the least common multiple of 30 and o?
330
Let a = -44154 - -19427769/440. What is the common denominator of -73/1760 and a?
1760
Let t(y) = -y**3 + 47*y**2 + 9*y - 366. Calculate the lowest common multiple of t(47) and 225.
4275
Let z = -12258323/711 - -17241. What is the common denominator of 49/18 and z?
1422
Suppose 5*f + 4*p = 9*p + 80, -16 = -2*f - 2*p. Calculate the common denominator of 21/f*42/45 and -17/234.
1170
Let y(m) = m**2 - m - 18. Let b be y(0). Let n = -13 - b. What is the smallest common multiple of n and ((-2)/(-2))/((-32)/36 - -1)?
45
Suppose -5*i + 2*b = -566, b - 116 = -i - 0*b. Calculate the lowest common multiple of 6 and i.
114
Find the common denominator of -8 - (14269/(-1716) + 208/676) and (3/2)/(132/268).
132
Let k be 10/(-14) - 2/7. What is the common denominator of (3591/(-396) - -9)/((-1)/(-68)) and k - (172/(-132) + 1)?
33
Let f(y) = -2*y**3 - y**2 - 2*y. Suppose 0 = 2*o + 4, -4*o = 3*l + o + 13. Let a be f(l). Find the common denominator of a - -2*(-22)/16 and -33/28.
28
Suppose -4*w = 2*f - 893 + 87, 4*w - 791 = -5*f. Calculate the least common multiple of w and 68.
204
Let m(i) = 2508*i**2 - 7*i. Let u be m(2). Let j = -120149/12 + u. What is the common denominator of -83/36 and j?
36
Calculate the common denominator of (15483/(-1266) + 12)*(-1)/(-16) and 3/5908.
47264
Let m(x) = -2*x + 5. Let u be 8/(-1) + (20 - 26). Calculate the least common multiple of 21 and m(u).
231
Let l be -47 + -1 + 1 - 7. What is the smallest common multiple of (6 + (-38)/6)*l and 6?
18
Let a = -4 - -10. Let t(b) = b**2 - 4*b - 7. Calculate the lowest common multiple of (-32)/(-22) + (-342)/(-627) and t(a).
10
Suppose 3*j + 1458 - 1494 = 0, 0 = -t - 6*j + 76. Let b(m) = -m**2 + 142. What is the lowest common multiple of b(0) and t?
284
Suppose 3*m + 156 = -5*k, -4*m - 18 = k + 20. Let q = k - -20. Calculate the common denominator of (q/(-72))/(14/609) and -61/33.
264
Let a = 4/3 - 143/6. Let i be (-132)/(-592)*(-26452)/(-6). Let y = -983 + i. Calculate the common denominator of y and a.
74
Let w = 1011/10 + -104. Let l be ((-1)/(-1508)*-4)/(36/(-53174)). Let f = 10/377 + l. What is the common denominator of f and w?
90
Suppose 2911 + 13592 - 3399 = 26*o. Calculate the lowest common multiple of o and 252.
504
Let n = -7148 - -7445. Calculate the smallest common multiple of 270 and n.
2970
Let r be (-7794)/(-14) + ((-94)/14 - -7). Suppose 5*s + 448 = -r. Let g = s + 291. Calculate the lowest common multiple of 20 and g.
180
Suppose -5*u + 13714 = 2*g, -3*u - 113*g + 8229 = -112*g. What is the lowest common multiple of 2156 and u?
30184
Suppose -19 + 51 = 2*x. Let h(p) = -7*p - 1. Calculate the smallest common multiple of h(-1) and -4 - (-3 - x - -1).
42
Suppose b = -6*l + 7*l - 5784, l - 10*b - 5865 = 0. What is the smallest common multiple of 5775 and l?
5775
Suppose 1009 = 11*f - 157. Calculate the least common multiple of f and 371.
742
Let a(g) = -110*g - 258. What is the lowest common multiple of 162 and a(-3)?
648
Let g = 5/4443 - -100633/66645. Let x = -4584 + 45883/10. What is the common denominator of g and x?
90
What is the common denominator of -61/1560 and (((-27)/(-945))/(12/49))/(30/440)?
4680
Let k = -7610 - -7628. What is the least common multiple of k and 5247?
10494
Suppose -3*h - 12*j + 15*j = -6, -2*h - 10 = 5*j. Let q be (-13)/(-5) - 2/(-5). What is the least common multiple of q + h + 3/(-9)*0 and 24?
24
Let a = -19 - -37. Suppose 43*j - 8*j = -9*j + 1056. Calculate the least common multiple of a and j.
72
Let t = 25295 + -40835. Let d = t - -1072229/69. Find the common denominator of 61/30 and d.
690
Let u(t) = -t**3 + 6*t**2 + 5*t - 30. Let y be u(5). Suppose -157*s = -155*s - y. Calculate the least common multiple of s and (11 - (-1 + 4))*10*1.
80
Let i = 55383 - 6479882/117. Find the common denominator of i and 22/819.
819
Calculate the common denominator of -37/50 and (-1)/4 - (14 + (-1610344)/112800).
7050
Let s(p) = -p**2 - 20*p - 11. Let z be s(11). Let w = z - -432. Calculate the least common multiple of 12 and w.
240
Suppose -29*y + 2*p - 41 = -34*y, -y = -p - 11. Let k(f) = -f**3 + 3*f**2 - 2*f - 2. Let b be k(2). Calculate the lowest common multiple of y and 0 + 2/b - -16.
45
Calculate the common denominator of (-44)/(-6) - (-74)/74 and 49/855.
855
Let c = -2/217 + 457/26040. What is the common denominator of -79/15 and c?
120
Let i be 5/(-3)*(-120)/50. Calculate the common denominator of 71/30 and i/1 + (-1169)/147.
210
Let k = 190 + 291. Let a = k - 469. Calculate the lowest common multiple of 10 and a.
60
Calculate the common denominator of (11423/636 - 18)*-4 and 55/273.
14469
Suppose 0 = 4*a - 3*i - i + 3124, -4*a - 2*i = 3118. Let v = -1246/45 + 99/5. Calculate the common denominator of ((-10)/(-6))/((-13)/(a/(-8))) and v.
18
Let q be 4/(-10) + 1176/140. Calculate the least common multiple of (-54)/q*(-70)/21*2 and 40.
360
Suppose 15 = -14*y + 71. Suppose -4*r + 160 = 8*c - y*c, -4*r = 8. What is the smallest common multiple of c and 8?
168
Suppose -5*w + 4 = 2*l, 0 = -3*w + 6*w - 5*l - 21. What is the common denominator of 13/10 and (1500/256 - 4) + w - 4?
320
Let d(q) = 42*q - 212. Let r(b) = 5*b + 15. What is the smallest common multiple of d(6) and r(4)?
280
Let f be (-8 - -2)/(9/(-6)). Suppose f*k = k + 15. Suppose -2248*j + 2250*j - 10 = 0. Calculate the least common multiple of k and j.
5
Let o = -408 + 410. What is the least common multiple of 702 and o?
702
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