ator of a and n.
6
Let c = -3765583/3665585 - -1/133294. Find the common denominator of c and -12/583.
5830
Let c = 12/15463 - -565646/28281827. Calculate the common denominator of c and 20/649.
20119
What is the smallest common multiple of 945 and (-1050)/(-125)*4*(-50)/(-8)?
1890
Find the common denominator of (-437)/(-88) + 7 + -11 and -87/88.
88
What is the common denominator of -38/121 and -38*(-1)/(-4)*((-4)/28 - -1)?
847
Let t = 61621/15 + -8225/2. What is the common denominator of -77/8 and t?
120
Suppose 0 = v - 4, g - 5600 = -v + 597. Let l = g + -3589. Let z = l + -54767/21. What is the common denominator of z and -49/33?
231
Suppose -458 = 32*v + 310. Calculate the common denominator of 50/v - -3 - (-2)/8 and -23/50.
150
Let g(y) be the second derivative of -5*y**3/6 - 6*y**2 + 2*y + 3. Let d = 1 - 4. Calculate the lowest common multiple of g(d) and 2.
6
Let g be (-8)/(-4)*77/7. Suppose g*n - 20 = 21*n. Calculate the smallest common multiple of n and 6.
60
Let m = 42 - 16. Calculate the least common multiple of (-228)/(-5) - ((-536)/40 - -13) and m.
598
Find the common denominator of -18*(-94)/2016*-1 and (2/3)/(176/201).
616
Let n = -16172 + 242671/15. Find the common denominator of 36/35 and n.
105
Suppose 0 = 2*z - 4 - 2. Suppose -r = -z + 1. What is the common denominator of 61/8 and (-97)/r + (6 - 3)?
8
Let n = 28802 - 115113/4. Find the common denominator of 211/4620 and n.
4620
Let y = 426 - 34. Suppose -256 - y = -8*f. Calculate the lowest common multiple of f and 27.
81
Suppose -10 = -2*b + 2. Let c(k) = k**2 + 1914*k - 5750. Calculate the smallest common multiple of b and c(3).
6
Let z(r) = -81*r + 1056. Calculate the lowest common multiple of 6 and z(-10).
1866
Suppose -1258 - 1387 = -5*c. Let f = c + -502. Calculate the least common multiple of f and 36.
108
Let r = -990 - -955. Calculate the common denominator of ((-38)/(-51))/2 - (-4)/(-4) and r.
51
Suppose -97*q + 33225 + 28041 = 6946. Calculate the least common multiple of 480 and q.
3360
Let d(b) = -b**2 + 8*b + 1754. Suppose 0 = 4*t - 144 - 96. Calculate the lowest common multiple of d(46) and t.
60
Let m = -6061/4 + 1521. Let g = -16821 - -11755. Let n = -101379/20 - g. What is the common denominator of m and n?
20
Let r = 3536166 - 26910223207/7610. What is the common denominator of 173/60 and r?
45660
Let u = 270783541/1160 + -233434. What is the common denominator of u and 13/32?
4640
Let l be ((-22651)/(-14))/((-156)/8). Let k be -12 - ((-154320)/(-156))/(-10). Let h = l + k. What is the common denominator of -115/6 and h?
42
Let n = 5/13681 + 860633/3474974. Calculate the common denominator of n and -43/32.
4064
Let n = -152578859/143 + 30840392766173/28904304. Let x = -86030 + 1086816992/12633. Let a = x + n. What is the common denominator of 109/12 and a?
48
Let z be (-116)/(-261) - 424/(-18). Calculate the common denominator of -47/144 and (-1)/(z/(-245)) - 100/20.
144
Suppose -2*f + 3426 = 4*b, 4*b - 4*f - 4263 = -b. What is the common denominator of (93/(-8))/(b/(-76)) and -32*((-80)/(-72) - 1)?
90
Let h = 83 - 93. Let k = 19 + h. Calculate the smallest common multiple of k and 24.
72
Let d(h) = 44*h**2 + 2*h + 6. Let q be d(2). Suppose 3*z + 47 = 2*b - 90, -3*b - 2*z = -q. What is the smallest common multiple of 11 and b?
704
Let r be (46/69)/(1/(-14 + -1)). Let q(o) = o**2 + 7*o - 27. Calculate the least common multiple of 15 and q(r).
15
Suppose -34 = -3*v + 4*v. Let j = -21 - v. Calculate the smallest common multiple of j and (-14 - 2)/(37 - 38) - (4 + 1).
143
Let a = -1149061/40 + 28728. What is the common denominator of a and 88/1455?
11640
Suppose 3*v + 4*y - 34 = 3*y, 2*v - 32 = 4*y. Let g = -11 + v. Calculate the smallest common multiple of g and 6/8 - 426/(-8).
54
Suppose -72 = 445*o - 448*o. What is the common denominator of 3/10 and 192/21 + 3/(o/(-40))?
70
Let w = -12200 - -195175/16. Calculate the common denominator of -4 + 5 + (-106)/24 and w.
48
Let a = 10848/11 + -203846/209. Let f = -980/171 + a. Calculate the common denominator of f and 23/4.
36
Let j = 4/619 + -5611/6190. Suppose -r + 7 = h, -3*r + 8 - 11 = -5*h. Find the common denominator of (r - 1)*-146*(-3)/(-396) and j.
110
Find the common denominator of (-3)/15 + (1 - 0 - (-9464)/2080) and 59/1056.
5280
Let h be (0 - -22*1)/((-1)/(-2)). Let t = 48 - h. What is the smallest common multiple of -42*(t/14 + (-22)/28) and 18?
126
Suppose 0 = -27*s + 24*s - 15, 3*f - 3341 = s. Calculate the lowest common multiple of f and 80.
11120
Let o(f) = -112*f + 127. Calculate the least common multiple of o(1) and 116 - (30/5 + -10).
120
Let l be -341 + (-6)/(-12)*-4. Let v = -19209/56 - l. Calculate the common denominator of v and -13/88.
616
Let j(b) = 1404*b - 184. Let w be j(-7). Let m = 230224/23 + w. Find the common denominator of -89/6 and m.
138
Let u = -2778/1435 - -25883362/13358415. Calculate the common denominator of 139/12 and u.
37236
Suppose 0*v + 495 = 15*v. Let n(j) = 27*j**2 + 2*j - 1. Let o be n(1). Let t = o - 4. Calculate the least common multiple of v and t.
264
What is the common denominator of (1/(-124))/((-138)/(-14628)) and -43/124?
124
Let y(n) = -2*n**3 - 3*n**2 - 27. Let d be y(0). Let o = 41 + d. What is the smallest common multiple of o and 7?
14
Suppose -7*b - 5*d - 1358 = -9*b, 3*b = -d + 2003. What is the least common multiple of 3 and b?
669
Let l = 228 - 222. Let c be 0 + -4 - 2/1. Let q = c + 10. What is the lowest common multiple of q and l?
12
Let d = -81 + -25. Let z be (48/(-60))/(d/(-55) - 0). Let j = z - 425/636. Calculate the common denominator of j and 99/2.
12
Let m(h) = 2*h**3 + 8*h**2 - 5. Let k be m(6). Let b be (4/(-14))/(10 + (-12768)/1274). What is the common denominator of -4 + (k/6)/b and 121/18?
18
Let p(a) = -6*a + 68. Suppose -18*g = -15*g - 15. Calculate the lowest common multiple of 28 and p(g).
532
Let f be (-11889)/696 + 1*2. Let l = 6065/3 + -173605/87. Let d = f + l. Find the common denominator of 113/56 and d.
56
Suppose 47*i = 43*i + 16. Suppose -472 = -4*c + 5*v, -c - v - 343 = -i*c. Calculate the lowest common multiple of 7 and c.
791
Let i(o) = 5 - 3*o**3 - o + 4*o**3 - 4*o - 5*o**2 + 9*o**2. What is the smallest common multiple of i(-5) and 2?
10
Suppose 105 - 133 = -4*q, 83 = 2*f - 5*q. What is the smallest common multiple of f and 67?
3953
Suppose -9*w + 5*w = -5*i + 368, 0 = -2*i - w + 142. What is the smallest common multiple of i and 1296?
1296
Let x = 316 + -212. Let j be 2 + (-995)/10 + (-2)/4. Let d = j + x. What is the lowest common multiple of 4 and d?
12
Calculate the common denominator of 3076/11424 - 1 - 36/(-306) and -95/672.
672
Let t be (-26)/(-13)*(-15)/2. What is the common denominator of 27/34 and (-330)/32 + t/(-3)?
272
Let s be 142/(-5) - 4/30. Let y = s + 293/10. What is the common denominator of (122/21*-3)/6 and y?
210
Suppose 5*m = 3*s + 2013, -388*m = -389*m + 5*s + 429. What is the smallest common multiple of m and 66?
8778
Let d(k) = 14*k**2 - 75*k - 909. Suppose 6*f = 3*f + 243. What is the smallest common multiple of d(-6) and f?
405
Let y = 12/41 - 503/738. Let o be 540546/368*((-4)/1 - -2). Let a = 2919 + o. Find the common denominator of y and a.
36
Let o(u) = -u**2 - 77*u - 1245. What is the smallest common multiple of 120 and o(-47)?
1320
Suppose 5*p - 320 = w + 1885, 0 = w. Let u = p - 421. What is the lowest common multiple of u and 14?
140
Suppose -y = -2*z, 4*y + 5*z - 3*z = 0. Suppose -4*d = 16 - y. Calculate the smallest common multiple of 10 and d + (-36)/(2 + -6).
10
Let z be ((-2025)/(-2))/5 + 15/10. What is the common denominator of 25/3 and (-12733)/z*2/(-49)?
42
Let s(x) = x**3 - 30*x**2 - 58*x - 38. What is the lowest common multiple of 4 and s(32)?
308
Let u(w) = w**3 + 4*w**2 - 5*w + 11. Let c be u(-5). Suppose -c*r + 62 = -4. Find the common denominator of 2/5 and (-22)/r*(-19)/(-19).
15
Suppose 3*o - 5*u - 11 = 0, 0 = 4*o - 8*u + 4*u - 20. Suppose 0 = -g + 4*g - 360. Suppose o*m - g = 2*m. What is the smallest common multiple of m and 3?
24
Let m be 42/245*(-23210)/(-8). Let p = 497 - m. What is the common denominator of -11/18 and p?
126
Let p(t) = 255*t**3 - t**2 + 21*t - 86. Let b be p(8). Let l = b + -14363703/110. What is the common denominator of 17/50 and l?
550
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