and (24/18)/(5/45).
12
Let h = 699433/46 + -15206. Calculate the common denominator of (-1 - -6) + 1/((-22)/127) and h.
506
Let q = 107 + -93. Calculate the smallest common multiple of q and 28.
28
Suppose 2*l - 36 = 6*h, 0*l + 40 = 4*l - 4*h. What is the smallest common multiple of 482 and l?
1446
Suppose -1458*p + 1451*p + 168 = 0. Calculate the lowest common multiple of p and 90.
360
Let l = -65 - -253. Calculate the smallest common multiple of l and 12.
564
Let u = 326 - 281. Let n(b) = -b**3 + 4*b**2 - 2*b + 1. What is the smallest common multiple of n(3) and u?
180
Suppose -2*l - 13 = 35. What is the common denominator of 393/(-9)*4/l and -51/7?
126
Let d(f) = f**2 - 16*f + 32. Let b be d(15). Suppose 99 = 5*y - 2*y + 5*t, 3*t - 37 = -y. Calculate the least common multiple of (b/68)/(2/176) and y.
308
Let d = 3984/938207 + -45975205861/81365063868. Let p = d - 1/1188. What is the common denominator of p and 10/7?
511
Let h be ((-4)/14)/((-2)/14). Suppose -h = 3*y + 37. Let o(r) = -r**3 - 12*r**2 + 12*r - 1. What is the smallest common multiple of o(y) and 11?
132
Suppose 0 = -3*y - 5*j - 15, -y + j + 7 = -2*y. Let f = -48 - -51. Calculate the common denominator of -28/11 and y/(-11)*f/(-2).
11
Let t = 68 - 28. What is the common denominator of (642/t)/(12/8*1) and -75/158?
790
Let p(a) = a**2 - 25*a + 76. Suppose -f - 3*f + 28 = 0. Let o = 7 + f. Calculate the least common multiple of o and p(23).
210
Let d = 353 + -204. Let y = -139 + d. Calculate the lowest common multiple of 26 and y.
130
Suppose -5*c + 3 = s, -1 = -c - 2. Let y(b) be the first derivative of -b**3/3 - 4*b**2 - 7*b + 2. Calculate the lowest common multiple of s and y(-5).
8
Suppose -5 - 35 = -4*g. Calculate the lowest common multiple of 90 and g.
90
Let b be 28825/(-110)*(-26)/(-4). Let v = b + 1703. Find the common denominator of (-2)/48*-3*47/(-2) and v.
176
Suppose 0 = -7*n - 23*n + 300. Let r = -35 - -79. What is the lowest common multiple of r and n?
220
Suppose 0*z = 13*z - 19539. Let w = 1/743 - 45331/5944. Calculate the common denominator of w and (-2)/(-10) - 1*z/(-60).
8
Suppose -109 + 1021 = 12*v. Calculate the lowest common multiple of v and 96.
1824
Suppose 4*u - 5 = -5*f, 2*f + 3*u = -3*f. Calculate the common denominator of 7/3 and (f + 40/7)/((-42)/245).
6
Suppose 208*p = 213*p - 10, -3*z = -5*p - 20. Suppose 3*b - 190 = -2*b. Calculate the least common multiple of b and z.
190
Suppose -2*t - 793 = 377. What is the common denominator of 46/21 and ((-1)/(-27))/(6/t)?
126
Suppose 0*z - 16 = -2*u + 3*z, 0 = u - z - 6. Let r be (25/(-4 + -1))/(-1). Suppose -30 = u*c - r*c. Calculate the least common multiple of 22 and c.
110
Let c = -1 - -9. Let m(y) = y**2 - 13*y + 42. Let v(x) = 4*x - 28. Let f be v(8). What is the least common multiple of m(f) and c?
24
Let g(u) = -2*u + 28. What is the least common multiple of g(5) and 42?
126
Let u = 33/742 - -15536/21889. What is the common denominator of u and 25/8?
472
Let b = 1 + 23. What is the lowest common multiple of (-12)/(-2)*4/b and ((-6)/(-4))/((-6)/(-36))?
9
Let m = 27345/11 + -2483. Find the common denominator of 44/21 and m.
231
Let z = -88703/15495 - 9/1033. Let s = -1277 - -8994/7. What is the common denominator of z and s?
105
Let o(y) = -27*y + 22. Let j be o(13). Calculate the common denominator of j/(-70)*(-2)/6 and -5/12.
60
Calculate the common denominator of (-11)/44 + (0 - 693/60) and -104/165.
165
Let d = -14 - -21. Suppose -2*x = -d*x. Let h = 12 + x. Calculate the lowest common multiple of h and 22.
132
Calculate the common denominator of 5760/(-1232) + 1/(-7) and 1 + (-4 - (-78)/4).
22
Let u = -39724 - -953509/24. Let m = -92/27 - -1036/135. Calculate the common denominator of u and m.
120
Let d(k) = -4*k + 11. Let v(f) = 5*f - 11. Let t(g) = 3*d(g) + 2*v(g). What is the smallest common multiple of 5 and t(3)?
5
Suppose -5*a = -3*z - 144, -116 = -4*a + z - 5. Calculate the lowest common multiple of 12 and a.
108
What is the common denominator of 63/(-28)*7/(-57) and 50/11?
836
Suppose 3*p + 0*v - 26 = -2*v, 63 = 4*p - 3*v. Let x = -38 + 42. What is the smallest common multiple of p and x?
12
Let d = -25/168034931 - -8449973060847/3264246569606. Let r = -2/883 - d. Let l = 1/5333 - 506651/85328. What is the common denominator of l and r?
176
Let q(j) = -j**2 + 4*j + 4. Let c be q(4). Let r(n) = 3*n - 8. What is the least common multiple of r(c) and 6?
12
Let i(t) = 27*t + 3. Let s be i(5). Let o be ((-277)/s)/(50/(-294)). Let l = 3/1150 - o. Calculate the common denominator of -32/9 and l.
45
Let w = -106943/11 - -9725. Suppose 3*l = -77 - 832. What is the common denominator of (-2)/(-4) + l/24 and w?
88
Suppose t + 95 = 6*t. Suppose 11 = -h + t. Calculate the lowest common multiple of h and 2.
8
Let t be 3/6*(-1372)/66. Let f = 114/11 + t. What is the common denominator of f and -121/6?
66
Suppose 0 = 5*d + 2*p + 481, -5*d - p + 4*p = 466. Suppose -w - u - 35 = -5, 0 = 3*w + 2*u + 86. Calculate the common denominator of (13/w)/(2/d) and 49/10.
20
Let x = -397/39 - 23291/390. Let r = 583/10 + x. Calculate the common denominator of 4/7 and r.
35
Let u(b) = b**2 + 9*b + 20. Calculate the least common multiple of u(-2) and (-71)/(-7) - (-7)/(-49).
30
Suppose -5*m + 23 = -3*l, 3*m - 5*l = -m + 21. What is the lowest common multiple of m and 96?
96
Suppose -2*h - h = -5*k, -5*h - 34 = 3*k. What is the least common multiple of (4/10)/(k/(-45)) and 16?
48
Suppose -5*x + 332 = -4*d - x, d - 3*x = -81. Let q = d - -105. Calculate the lowest common multiple of 30 and q.
210
Let x be 4/(-6) - (-1 - (-71)/(-3)). Calculate the common denominator of -24/11 and 6/(-8) + (-116)/x*-3.
44
Let q(c) = 2*c**3 - c**2 + c - 6. Let w be q(3). Suppose -3*y + 2*v = -v - w, -3*v = 5*y - 70. Calculate the lowest common multiple of 48 and y.
336
Suppose 1291*k - 1290*k - 94 = 0. What is the least common multiple of 1 and k?
94
Let o = 196 + -67. Calculate the lowest common multiple of 15 and o.
645
Let z(s) = s**2 + 6*s + 8. Let t(o) = 2*o**2 + 11*o + 15. Let p = 2 - -3. Let x(f) = p*z(f) - 2*t(f). Calculate the lowest common multiple of 8 and x(-7).
24
Let x be (-292526)/18 + 0/2. Let v = x + 16279. Let f = 5293/180 - v. Find the common denominator of f and 31/18.
180
Suppose -5*y = -37 - 28. Let d = y + -15. Calculate the common denominator of (d - -3)/(18/(-70)) and 26.
9
Let v = 688 - 668. Calculate the smallest common multiple of 20 and v.
20
Suppose 838 - 346 = 2*l. What is the smallest common multiple of l and 164?
492
Let a = 49437 - 4745909/96. Calculate the common denominator of -4/3 and a.
96
Let o = 69 + -66. Suppose 0 = -u + 4*a + 1 + 8, 0 = 4*u + 2*a - 18. Calculate the smallest common multiple of u and o.
15
Let y(l) = -l**3 + 7*l**2 - 2*l - 4. Let q be y(6). Suppose -q = 3*z - z. Let w = -7 - z. Calculate the smallest common multiple of w and 8.
24
Let x = -69 - -59. Let d = -17 - -35. Let q = x + d. What is the smallest common multiple of 8 and q?
8
Calculate the common denominator of 6 + 5457/(-68)*(-1)/(-12) and -149/228.
912
Let u = 2033/140 - 102/7. Find the common denominator of 35/154*186/10 and u.
220
Suppose 2*h + 2*h - 2*i + 3104 = 0, -2*h = -3*i + 1560. Let z = -8530/11 - h. What is the common denominator of z and 13/4?
44
Let y(c) = -c**3 - 19*c**2 + 17*c - 46. Suppose -2 = 4*v - 74. What is the least common multiple of v and y(-20)?
126
Suppose -99 - 6 = -r + 3*n, -3*n = -4*r + 393. What is the smallest common multiple of 112 and r?
672
Suppose -4*v + 4 = -4*f, 4*f - 7 = f + v. Calculate the least common multiple of 64 and f.
64
Let r be (-12)/(-54) - (-16)/9. Let p be (-3)/(5/10*r). Calculate the least common multiple of 14 and p + 6 + -4 + 23.
154
What is the common denominator of 33/5 and (-305)/(-25)*(210/(-48))/(-7)?
40
Suppose -5 = -3*r - 0*k - 4*k, -k + 11 = 4*r. Find the common denominator of 49/6 and ((-7)/((-224)/r))/((-3)/(-94)).
48
Let c = 56 + -38. Suppose 3*t = c - 0. What is the lowest common multiple of 6 and t?
6
Suppose -10 - 13 = -o. Suppose 0 = -6*v + o + 13. Suppose 3*g - 36 = 3*m - v*m, -5*m + 24 = -4*g. What is the least common multiple of 12 and m?
24
Let z(m) = -16928*m**3 + 2*m**2 - 2*m - 1. Let y be z(1). Let p = -237107/14 - y. What is the common denominator 