
Let w = 4/2833 - 110551/45328. Let d = 34184 + -3213201/94. What is the common denominator of w and d?
752
Suppose 393 = f + 2*f. Let l = f - 267/2. Find the common denominator of l and -103/14.
14
Suppose 5*q - 55 = -3*d, 8*d - 3*d + 2*q - 60 = 0. Calculate the lowest common multiple of 114 and d.
570
Let x(n) = -14*n**2 + 6*n - 10. Let r be x(3). Calculate the common denominator of r/(-60) + 4 + -1 and 63/10.
30
Find the common denominator of 20/99 and 3 + (-345)/396 + (-2)/(-8).
198
Let a(g) = 8*g**2 - 24*g - 60. Calculate the least common multiple of a(-3) and 10.
420
Let z(q) = -q**2 - 8*q. Let k be z(-5). What is the smallest common multiple of 11 and 45/(-6)*(-12)/k?
66
Let i = 593609 - 137123143/231. Let s = 25/11 - i. What is the common denominator of s and 17/21?
21
Let w(v) = 2*v**3 - 2*v**2 + v - 1. Suppose -5*f - 5 = m - 4*m, -5*m + 33 = 4*f. Suppose -16 = -m*s + 14. Calculate the least common multiple of w(2) and s.
18
Let g = 2/17293 + 916509/172930. Let z = 3 - -1. Find the common denominator of g and z/(-10) - 362/120.
60
Calculate the common denominator of (-22)/(-8) + -3 - (-945)/(-36) and 46/(-1)*(-1)/3.
6
Let u = 15 + -23. Let d = u + 18. Suppose 0 = 4*o + 3*x - 18 - 24, 2 = o + 5*x. What is the least common multiple of o and d?
60
Let n be (-6)/(-15) - 704/10. Find the common denominator of 23/18 and (-5)/n*66 + 1.
126
Let c = -11 - -15. Let k be ((-3)/6)/(c/(-40)). Let z = k + -1. What is the smallest common multiple of 1 and z?
4
Suppose 130*l - 119*l = 33. What is the least common multiple of l and 221?
663
Let k = 22 - 4. Let n = -15 - -4. Let o = n + 19. What is the lowest common multiple of k and o?
72
Let l = -643 + 646. Calculate the lowest common multiple of 479 and l.
1437
Let u(v) = 5*v + 13. Let b be u(7). Suppose 0 = 6*j + 12 - b. Find the common denominator of -91/2 and (6/(-4))/(1/j).
2
Suppose 0 = 5*q - 2*j + 40, 30 = -2*q - 3*q + 4*j. Let a = q - 9. Let b = a - -24. Calculate the smallest common multiple of b and 6.
30
Let a(f) = -2*f**2 + 14*f + 5. Let k be a(7). Let w(b) = 0 + 2*b + 0. Calculate the lowest common multiple of 10 and w(k).
10
Let o = 13489339/7256418 + 2/93031. Find the common denominator of o and 95/24.
312
Let w = -46179041/17934 + 330/2989. Let b = w - -2581. What is the common denominator of b and -70/3?
6
Let r = -54 - -68. Suppose -r = -28*w + 27*w. What is the lowest common multiple of w and (-2)/2*-1*10?
70
Let q be 3790/42 + (-20)/(-60). Suppose 355 = 4*j - 5*y, -3*j + 8*j - 447 = 3*y. Let f = j - q. What is the common denominator of f and 101/10?
70
Suppose v + 72 = 5*v. Let l be -10*(-15)/(-6) + -3. Let j = l + 50. What is the smallest common multiple of j and v?
198
Let h(g) = 21*g - 1. Let i be h(1). Let x be 10 + -6 + (-121122)/i. Let k = 6045 + x. Calculate the common denominator of 46/9 and k.
90
Let c = -3779/6 + 628. Calculate the common denominator of c and (-160)/18 + (-2)/(-2).
18
What is the common denominator of (29/(-3))/(425/15 - 10) and -31/99?
495
Let m = -18053/48 + 1136/3. Find the common denominator of -83/6 and m.
48
What is the least common multiple of 16 and (-678)/(-21) - (-14)/(-49)?
32
Suppose -11*q = 8*q - 7410. Calculate the smallest common multiple of q and 60.
780
Let g = -5670439/78 - -72696. Calculate the common denominator of -115/6 and g.
78
Let p(y) = -4*y**2 + 34*y + 30. Calculate the smallest common multiple of p(9) and 138.
276
Suppose -14*a + 9304 - 3592 = 0. Calculate the lowest common multiple of a and 204.
408
Suppose -k = -5*f + 4*k + 20, -3*k + 28 = 5*f. Suppose 18 = -h - 5*m, f*m + 6 = h + 4*m. What is the lowest common multiple of ((-1)/(-3))/((-2)/(-30)) and h?
10
Let r be (8/16)/((-1)/2). Let x(q) = -6*q. Let y be x(r). Calculate the common denominator of -89/8 and (y/(-20))/(78/4745).
8
Let s = 3 - -7. Calculate the common denominator of (-122*3/(-6))/s and (-418)/60 + (-2)/10.
30
Let d be (63/6)/((-2)/4). Let x = d + 15. Calculate the common denominator of 95/18 and (-9)/(-12)*(-332)/x.
18
Let x = 400 + -395. Suppose 0 = 5*s + 3*o - 39, 6 = 3*s - 5*o + o. Calculate the lowest common multiple of x and s.
30
Let k(n) = -6*n**2 - n**3 + 3 + 12*n**2 - 3*n - n. Let x be k(5). Suppose -6*b + x*b = -16. What is the common denominator of b and -74/9?
9
Suppose 8*o - 5 = 9*o. Let j = -167 - -57. What is the smallest common multiple of 32 and 2/2*j/o?
352
Let g be (1 - 1/1)/(-2). Suppose 2*p + 4*l - 138 = p, -5*p + 5*l + 690 = g. Find the common denominator of 3/20 and (p/8)/(-6 + -9).
20
Let q(k) = 9*k**3 + k**2 - k + 1. Let b be q(1). Suppose 2*r = 3*r - u - b, 0 = r + 5*u + 2. What is the common denominator of -121/18 and 124/r*(1 + 0)?
18
Let k = -2/2733 + -56480/2733. Let x = 716 - 10708/15. Calculate the common denominator of x and k.
15
Let a(v) = 6*v**2 - 3*v - 2. Let g be -4*(7/(-4) + 1). Suppose g*y - y + 5*l = 35, -5*y = -3*l - 41. Calculate the smallest common multiple of y and a(-2).
140
Let p = 491 + -473. Calculate the least common multiple of 4 and p.
36
Calculate the common denominator of ((-26313)/(-1736))/3 + -5 and 131/6.
744
Let i be (-988)/(-11) - 2/(-11). What is the common denominator of -17/4 and (-1659)/i + (-10)/25?
12
Let b(l) = l**2 - 13*l - 21. Let j be b(15). Suppose j*m + 18 = 11*m. Suppose o - m = -r - o, 2*o + 45 = 5*r. What is the least common multiple of 2 and r?
18
Let o = 1360 + -4034/3. Let b = -47930 + 2636251/55. Let j = b + -36/55. What is the common denominator of j and o?
33
Let x be (0 - (-24)/(-16))/((-12)/2821). Let y = 352 - x. What is the common denominator of y and -63/74?
296
Suppose -3*x + 61 = -47. Suppose 5*y + 0*y - 22 = -p, -2*p = 5*y - 34. What is the least common multiple of x and p?
36
Let b = -5290 - -58152/11. Let p be (-98)/63*4594/4. Let i = p + 1783. Find the common denominator of b and i.
99
Let c(m) = -m**3 + 3*m**2 + 17*m + 18. Calculate the lowest common multiple of c(-3) and 12/3 - (-4)/2.
42
Let d be (-61)/244 + (-2)/(16/6). What is the smallest common multiple of 1 and d/(2/(-4)*20/50)?
5
Let q(j) = 4*j**2 + 5*j - 4. Suppose -324 = -7*z - 11*z. Calculate the smallest common multiple of q(-4) and z.
360
Let j = 3455092/365 + -9466. Let q = -12779/730 + j. What is the common denominator of q and -27/14?
14
Find the common denominator of 5/((-900)/(-494)) - 4 and -97/80.
720
Let p = -342 - -350. Let g = -51 - -73. Let l = -12 + g. Calculate the least common multiple of l and p.
40
Let t be 225/(-6) - 3/(-2). Let i = -7/95 - -9039/190. Calculate the common denominator of ((-79)/t)/((-12)/(-36)) and i.
12
Calculate the lowest common multiple of 23 - 23 - (-19 + -1) and 10.
20
Let k = 5423/3 + -1825. Find the common denominator of 762/576*8 + 3/(-12) and k.
3
Let m(b) = -b**2 - 11*b - 18. Suppose -3*o + 21 = -c, -3*o + c - 27 = -8*o. Calculate the smallest common multiple of m(-8) and o.
6
Suppose 2*p = -2*u - 4, 2*p - 3*p - 18 = -3*u. Calculate the smallest common multiple of (1 + -4)/(p/14) and (2 + 3)*4/2.
70
Let w = 2468 + -994. Let u = w - 82473/56. Calculate the common denominator of -67/16 and u.
112
Let l be 62/(4/(0 + 2)). Let n = l - 16. What is the lowest common multiple of 10/n + 50/6 and 4?
36
Find the common denominator of 1/4 and (-2)/(-44) + (4 - 2)*2.
44
Suppose 4*s - 285 - 231 = 0. Calculate the lowest common multiple of s and 12.
516
Let k = -4 - -14. Let u = k - 15. Find the common denominator of 94/(-18) - 10/u and -50.
9
Let p be 14517/(-3066) - (7 - 11). Let b = 35/73 - p. What is the common denominator of 33/2 and b?
14
Let t(c) = -5*c - 1. Let b be t(1). Let p(k) = 5*k - 4. Calculate the common denominator of p(-2) and (-1185)/45*b/(-20).
10
Let w be (-15340)/6592 - 2 - 2/16. Let a = w - -156/103. What is the common denominator of 43/4 and a?
16
Suppose 90 = -3*p + 4*q - 7*q, 2*p = -3*q - 64. Let m = 42 + p. Calculate the least common multiple of 6 and m.
48
Suppose -42 = -2*a - 3*t, 2 = -5*t + 22. What is the lowest common multiple of a and 8?
120
Let l(y) = 23*y + 2. Let v be l(6). Suppose w + 106 - v = 0. What is the least common multiple of w and 14?
238
Let y = 388 + -204. Find the common denominator of (-2093)/y - (-2)/(-4) and -55/14.
56
Let a = 101983/117 - 7852/9. What is the common denominator of -37/1062 and a?
13806
Let q = -88223/18