Find the common denominator of t and 49/120.
360
Suppose -6 = 6*a - 8*a. Suppose 60 + 18 = 3*p. Let u = p - 16. What is the lowest common multiple of u and a?
30
What is the common denominator of (9 - (-163)/(-18))/(12/657) and -67/12?
24
Let h = 223 - 216. Calculate the least common multiple of 7 and h.
7
Let l(i) = 21*i**2 - 3*i - 2. Calculate the smallest common multiple of ((-84)/8)/((-3)/4) and l(-1).
154
Let q = -2/45939 + -239897/153130. Calculate the common denominator of q and -27/35.
210
Suppose 0 = 5*m, 596 = -5*b - m + 1576. What is the smallest common multiple of b and 56?
392
Suppose 6*b + 30 = b. Let m = -10044/2285 - 2/457. What is the common denominator of b/(-4) + 4/(-10) and m?
10
Let i = -309941826246 + 48064538648772697/155076. Let y = i + -1/12923. What is the common denominator of -17/20 and y?
60
Let j(u) = -u**3 - 3*u**2 - u + 2. Let x be j(-2). Let f be 45*((-12)/(-15) - x). Suppose -7*n + 10*n = f. What is the least common multiple of 18 and n?
36
Let p = 193 + -186. What is the least common multiple of 10 and p?
70
Let n = 53571 + -3535759/66. Find the common denominator of n and -44/9.
198
Let z(y) = y**2 - 2*y - 9. Let a be z(4). Calculate the smallest common multiple of 11 - -1 - 0/3*a and 9.
36
Let x = -9018 + 108325/12. Let y = -1768 + 38949/22. Calculate the common denominator of x and y.
132
Calculate the lowest common multiple of 800/90 - 9 - 110/(-18) and 138.
138
Let q(m) = -2*m**2 + 26*m - 2. What is the smallest common multiple of 746 and q(12)?
8206
Suppose -5*m + 4 = -1, 0 = i + 5*m - 8. Suppose -i*w + 8 + 11 = -4*q, -4*q = -5*w + 29. Calculate the smallest common multiple of 13 and w.
65
Let k = -249721463/14 + 17848010. Let j = -10756 + k. Calculate the common denominator of j and -69/20.
140
Let q = 412 - 392. Calculate the least common multiple of q and 128.
640
Let l(m) = 10*m + 2. Let t = -687/4 - -3083/18. Find the common denominator of l(-4) and t.
36
Let w(m) = -15*m - 155. Calculate the lowest common multiple of w(-11) and 24.
120
Let l be (15/10)/3*4. Suppose -l*s = -37 - 13. What is the common denominator of s and 25/7?
7
Let m = 8 - 6. What is the smallest common multiple of m and 92?
92
Let s(l) = -10*l**2 + l - 1. Suppose w + 0*w = 1. Let z be s(w). What is the common denominator of 79/18 and 478/24 + z/(-30)?
36
Let t be 4/(-3)*3/(-2). Suppose -r + 4*m = -t*r + 34, m = 4*r - 68. Find the common denominator of 133/18 and 27/r*(-29)/(-6).
36
Let x = 9/1120 - 3/40. Find the common denominator of 9/8 and x.
224
Let b be 4/(-6)*(-15)/2. Suppose -x = -b - 2. Suppose -66 = -10*c + x*c. Calculate the least common multiple of 20 and c.
220
Let m be (-1994)/(-15)*9/24. Let n = m + -141137/2820. Let x = 8431/564 + n. Calculate the common denominator of x and -17/7.
28
What is the common denominator of 10054/1452 + (14/(-6) - 0) and (158/12)/((-22)/6)?
22
Suppose 5*s + 115 = x + 32, -3*x + 173 = 4*s. Let v = x - 43. What is the lowest common multiple of v and 100?
100
Let r = 1893 - 1013. What is the common denominator of 6/(-10) - 1342/r and -5/12?
24
Let s = -4 - -8. What is the smallest common multiple of s and (1 - 2)/(-1) - -9?
20
Let x(m) = m**2 - 12*m + 10. Let r = -3 + 9. What is the smallest common multiple of x(0) and 3 + r + -3 + 0?
30
Calculate the lowest common multiple of (-126)/(-189)*23*9 and 114.
2622
Let n(c) = -5*c**2 - 30*c + 2. Let a be n(-7). Let m = 37 + a. What is the smallest common multiple of m and 18?
36
Let d be (872950/128 - -3)*-3. Let o = d + 20468. Calculate the common denominator of o and -55/8.
64
Calculate the common denominator of 38247/(-82080) - ((-4)/18 - 0) and -69/50.
800
Calculate the common denominator of -8/327 and (-9)/(-8)*(-31)/((-186)/(-132)).
1308
Let d = -789 + 6335/8. Suppose 2*t + 9 - 3 = 2*c, 0 = c - 2. What is the common denominator of 2*((-158)/8)/t and d?
8
Suppose -4*r = 5*u + 1 - 13, -r - 2*u = -3. Suppose 2 - 1 = -l, -26 = -r*k + 2*l. What is the lowest common multiple of k and 28?
56
Let a(w) = 4*w + 2. Let y(l) = -l**2 + 6*l - 4. Let p be y(4). Calculate the lowest common multiple of 76 and a(p).
684
Let q(b) = 4*b - 2. Suppose -22 = -2*y - 9*y. Calculate the smallest common multiple of q(4) and y.
14
Let q = 345537/3850 - 629/7. Calculate the common denominator of q and 63/550.
550
Suppose 2*i = -2*c - 8, 12 = -2*i + 4. Let q = -5 + c. Let m(u) = -u + 6. Calculate the lowest common multiple of 5 and m(q).
55
Suppose -3*o + 0*o + 60 = 0. Let f = -486 + 536. Calculate the lowest common multiple of o and f.
100
Let q(o) = 4*o**2 - 11*o - 26. Calculate the least common multiple of q(-2) and 792.
792
Let f = 3/158 + -2613/316. Find the common denominator of f and -43/8.
8
Let z = 113 + -81. Calculate the common denominator of -31/38 and ((-70)/z - -2)/(30/(-1220)).
152
Calculate the smallest common multiple of -1 + (-69)/(-63) + 4658/42 and 3.
111
Suppose 0 = -17*a + 710 + 4. What is the common denominator of a and 48/199?
199
Find the common denominator of (-1)/((-55)/(-2))*-35 and -1 + 5 + (-134)/4.
22
Let s = 46 - 43. Let i(n) = 3*n**3 - 4*n**2 - 4. Calculate the least common multiple of 2 and i(s).
82
Suppose 9*w + 26 = 4*t + 10*w, 5*t + w - 32 = 0. Calculate the least common multiple of t and 177.
354
Let s = -419/1496 + 1/136. Let o = -33509/1479 - 5/493. Calculate the common denominator of s and o.
33
Calculate the common denominator of 45/508 and (-2)/(-10) + ((-19719)/(-90))/7.
508
Let y(r) = r**3 + 11*r**2 - 15*r - 6. Calculate the smallest common multiple of y(-12) and 40.
120
Calculate the lowest common multiple of 24 and 33/(-2)*32/(-8).
264
Calculate the common denominator of 141/350 and 247/(-18) + 4 - (-16)/12.
3150
Let r(b) = -b**3 - 9*b**2 + 24*b - 10. Let p be r(-12). Let m = -96 + p. Calculate the smallest common multiple of m and 15 + (0 - (0 - -3)).
228
Let f(y) = 2*y + 4. Let z be f(-2). Suppose 0 = 4*v + l - 29, z = 7*v - 4*v - 2*l - 8. What is the lowest common multiple of 3 and v?
6
Let g = 1368 - 1359. What is the smallest common multiple of 9 and g?
9
What is the smallest common multiple of (12*2)/((-33)/(-22)) and 8?
16
Suppose 0 = 6*o + 5 + 7. What is the common denominator of -1 + ((-104)/(-5))/(-2) and ((-1)/14)/(o/(-120))?
35
Let y = 682 + -660. Suppose 4*o = 3*g + 40, 33 = 4*o - g - 7. What is the lowest common multiple of y and o?
110
Suppose 119 + 61 = 5*a. Let i = 119/2 - 77. What is the common denominator of (1/a)/(0 - (-5)/(-830)) and i?
18
Suppose 8 = i + 3*d - 1, -2*i + 4*d - 22 = 0. What is the common denominator of (-6)/39 + i + (-1207)/(-156) and 35/68?
204
Let k = 227/18 + -130/9. Calculate the common denominator of ((-71)/(-6))/(27/(-9)) and k.
18
Suppose 5*m - 44 = -2*b, b = -2*m + 11 + 9. Calculate the smallest common multiple of b and 172.
516
Let j be -5 + (5 - 32/54). Let b = 371/216 + j. What is the common denominator of 8/6*(-33)/6 and b?
24
Let f be 2 + (-214)/2 + 1. Find the common denominator of -59/2 and ((-5628)/f)/7 - 5.
26
Let x = -5662 + 113273/20. Find the common denominator of x and (-2)/6 + 2587/(-312).
40
Suppose d + d = -36. Find the common denominator of -19/4 and ((-14)/(-12))/((-24)/d).
8
Let n be 40354/2608*(-4)/(-14). Let i = -5/652 - n. Calculate the common denominator of i and -7*(2 + 1)/(-18).
42
Let i = -4 - -14. Suppose 10 = 2*z + q, 5*z + 6*q - 4*q - 23 = 0. What is the least common multiple of z and i?
30
Let g(m) = -m**2 - 11*m - 1. Suppose 5*z + 0*u = 4*u + 26, 0 = 2*z + 3*u - 15. What is the smallest common multiple of g(-5) and z?
174
Calculate the common denominator of (1/(-6))/((-14)/(-642)) and (13 + 3443/(-176))/((-6)/(-8)).
28
Let y = 152771/1288 - 2772/23. What is the common denominator of -43/64 and y?
448
Let b = 95 + 81. Find the common denominator of -59/4 and (1/(-3))/(b/1032).
44
Let a = -1948/105 + -26/105. Let v = -63/5 - a. Calculate the common denominator of v and -5/44.
220
Let z(d) = -9*d - 153. What is the smallest common multiple of 12 and z(-40)?
828
Calculate the common denominator of (2 - 2) + 370/75 and -56/219.
1095
What is the common denominator of 14/(-42) - ((-7023)/(-2772) - 3) and -97/42?
924
Suppose -37 = 2*i - i. What is the common denominator of i and -12 - ((-4806)/24)/9?
4
Let i = -108/217 + 1919/1302. Calculate the commo