What is the common denominator of w and 115/12?
132
Let t = 246168311/580 - 424428. Calculate the common denominator of 58/9 and t.
5220
Let u be (-270)/(-50) - (-4)/(-10). Suppose j + 9 = u*d, -5*j = -d + 1 - 4. Find the common denominator of -39/4 and d/76*(-12 + 13).
76
Let y = -16396628 + 246059146/15. Let n = -7310 + y. Let h = -1245 - -11179/9. Calculate the common denominator of n and h.
45
Let a(c) = -42 + 3*c + 0*c + 0*c + 3*c. Let z be a(7). Suppose -3*u + 2*s + 69 = 5*s, z = u - 3*s - 3. What is the least common multiple of u and 30?
90
Suppose 112*h = 5*j + 113*h - 97, -34 = -2*j - 2*h. Suppose -4*u = -u + 708. Calculate the least common multiple of 2/4*-1*u and j.
1180
Let o(r) = -4*r + 32. Let h be o(22). Let b be 42/h*(-48)/1. Let g = b + 20. What is the smallest common multiple of g and 20?
280
Let x(n) = -n**3 + 32*n**2 - 53*n - 169. Calculate the lowest common multiple of x(30) and 16.
656
Let w(j) = j - 1. Let n be w(6). Suppose -12*z = n + 19. Calculate the smallest common multiple of (-35 - z)/(3/(3/(-1))) and 9.
99
Suppose -3*b + 1682 + 532 = 0. Suppose 2*h - 446 = -4*u + 286, 4*u - h - b = 0. What is the least common multiple of 2 and u?
184
Let d(v) = 4*v**2 + 4*v + 8. Let m be d(-2). What is the common denominator of (8 - 956/112)/((-18)/m) and 109/24?
168
Suppose x - 2*b - 4 = 0, -4*x + b = -28 + 5. Let s be (1 + 1)/(x - 7). Find the common denominator of -149/18 and 1874/(-252) + (s - 48/(-28)).
18
Let a = 7/289 + -5743/10404. Let u be (-3)/(-12) - ((-108318)/(-8))/7. Let y = u + 61869/32. Calculate the common denominator of y and a.
288
Let q be (-3)/(0 + (-15)/(-10)) - -33. Suppose -q*i + 82 + 228 = 0. What is the lowest common multiple of i and 107?
1070
Let s(l) = -l**2 + 30*l + 4. Let p(f) = -2*f**2 + 61*f + 9. Let z(t) = 4*p(t) - 7*s(t). What is the least common multiple of z(34) and 12?
24
Calculate the common denominator of (11/((-3861)/(-504)) - 1)*(-3 + 1) and 30/7.
273
Let w = 90257179/706 + -127843. Find the common denominator of w and -137/12.
4236
Let u = -52648 + 36853657/700. Find the common denominator of 3/1456 and u.
36400
Let v(m) = -7*m. Let x be v(8). What is the common denominator of (432/x - -8)*118/16 and 1/16?
112
Suppose -21028 = 10*q - 41768. Calculate the least common multiple of 976 and q.
16592
Suppose 4*w - 43 = -6*d + 41, -5*w = -d - 54. What is the lowest common multiple of w and 156?
156
Let u(o) = o**2 + 6*o - 11. Let y be u(2). Suppose -y*d + 24 = 3*h - 4*d, 4*d = -3*h + 24. Calculate the lowest common multiple of 154 and h.
616
Suppose -47*b + 5 = -42*b. Let g(y) = 23*y - 5. Calculate the least common multiple of (-8)/4 - 10/(-2) and g(b).
18
Suppose 0 = 4*s - 4, 2*p - 6*s = -s - 5. Let v(t) = 8*t**2 + 4*t + 4. Let d be v(2). Suppose -g - 10*g + d = p. What is the lowest common multiple of g and 58?
116
Let g be (11/33)/(1/9). Suppose -4*z = -5*z + g*u + 42, 0 = -2*u. Calculate the smallest common multiple of (-36)/(-30)*(64/8 - 3) and z.
42
Let w = -83931 - -83979. Let s = 6 - 3. What is the lowest common multiple of w and s?
48
Let p be (42/15 + -3)/((-5)/25). What is the common denominator of -139/24 and (-65)/150*p + 3?
120
Let y = -941 - -413. What is the common denominator of ((-1)/45)/(6/535) and 3644/y + 12/(-66)?
108
Let g = 2427245177/2460 + -986685. What is the common denominator of -43/1640 and g?
4920
Suppose 4*d - 27 + 11 = 0, -d - 12 = -2*q. Suppose -2*j - q = -26. Suppose -23 = -w - j. What is the lowest common multiple of 8 and w?
56
Let v(q) = -258*q + 514. What is the least common multiple of v(-13) and 4?
3868
Let o be (-40)/(-25) - (-2)/5. Suppose 3*x - 152 = 4*j, -2*x + 12 = -o*j - 86. What is the smallest common multiple of 77 and x?
308
Calculate the common denominator of 1/714 and (-13)/(-5) - (23097/(-630) - -43).
714
Let r = 2619 - 41889/16. Find the common denominator of r and 91/1132.
4528
Let t be 61*2/(2 + 0). Let p = -40 + t. Let f = -735 - -750. Calculate the smallest common multiple of p and f.
105
Let b = -135351 - -90008463/665. Calculate the common denominator of b and -91/114.
3990
What is the lowest common multiple of 0/8 - (-9 + (-21)/(-3)) and 1830?
1830
Suppose z - 1013 + 261 = 2*d, -3*z + 2*d + 2252 = 0. Calculate the lowest common multiple of 150 and z.
750
Suppose -3*k = -4*r - 31, -2*k + 19 = -5*r - 11. Calculate the common denominator of (-2)/k*(-135)/(-4698) and -52/15.
435
Let k = -33425/19 - -1757. What is the common denominator of k and -59/152?
152
Let s be (-1)/(-4)*74112/(-9). Let z = s - -2078. Find the common denominator of -2*(-3553)/(-1540) - (-9)/((-189)/6) and z.
30
Let x be (18/(-4))/(6/(-32)). Let i be 12/x + (-53807)/(-5844). Let z = i + 102/487. Find the common denominator of -47/7 and z.
84
Let n = -2223096103/2436 - -912601. Calculate the common denominator of 20/27 and n.
21924
Let q be 99/(-22)*(-56)/(-3). Let j = 85 + q. What is the smallest common multiple of j and 10?
10
Suppose 4*l - 436 = 4*v, -555 = 5*v - l - 2*l. Let r be v/27 + 4 - 72937/(-18). Let x = r - 4034. What is the common denominator of x and 14?
6
Let l = 131 - 91. Find the common denominator of l and 12/2635.
2635
Let b = 4660 - 4595. What is the smallest common multiple of b and 425?
5525
Calculate the common denominator of -6 + (10 - 606/140) and 5/7.
70
What is the common denominator of 62/95 and 720/(-1980) - 2988/(-5434)?
1235
Let p be (-56 - 19)/(0 - 1). Let z = 91 - p. Suppose 2*d = -3*r + 26, -4*r + z = -0*r. Calculate the lowest common multiple of 7 and d.
7
What is the lowest common multiple of -16 + 14 - (-360 + -26) and 18?
1152
Suppose 580 = 3*s - s. Find the common denominator of ((-462)/(-90))/7*(-63)/(-168) and (6/(-20))/((-8)/s).
40
Suppose 7 = -3*d - a + 23, 0 = 2*d + a - 10. Calculate the common denominator of (-6)/(-144)*d - 287/36 and 107/56.
504
Let h(r) = 5*r**2 - 168*r - 41. Suppose 0 = -b + 2 + 4. Calculate the lowest common multiple of h(34) and b.
54
Let r = 4 - 12. Suppose -16*q = 14*q - 450. Find the common denominator of (r/(-20))/(228/q)*2 and 24.
19
Let o = -21713/29744 - -84/169. Let x = -28883/18 + 1606. What is the common denominator of x and o?
1584
Let k = 7650/7 + -91969/84. Calculate the common denominator of k and (7448/(-945) + 9)*20/(-16).
756
Suppose -36*f = -205373 - 213098 - 710129. What is the least common multiple of f and 6?
31350
Let l(s) = 70*s**2 + 2*s + 1. Let y be l(1). Let q = -54 + y. Suppose -3*n - q = 3*z - 82, 4*z = -3*n + 87. What is the least common multiple of 16 and z?
48
What is the common denominator of (-124)/18 + (-4)/6 and 39/(-325)*((-29)/116)/(2/(-740))?
90
Let m be ((-154)/(-6))/(5/(-15)). Let j = m - -75. Find the common denominator of 113/18 and j + 3/50*(-295)/18.
180
Let y = 1083889/10965 + -10097/102. Calculate the common denominator of y and -53/60.
2580
Let q(l) = l**3 - 9*l**2 - 28. Let u be q(10). Calculate the common denominator of ((-6)/924)/(u/2716) and 119/18.
396
What is the common denominator of -43/200 and (-1 - 1 - 378/(-238))*(-4)/1000?
17000
Let o = 117 + -125. Let z = 132/433 - 48971/8660. What is the common denominator of z and (-6)/(-408)*-117 + 2/o?
340
Suppose -181 + 53 - 292 = -14*w. Calculate the smallest common multiple of 627 and w.
6270
Calculate the common denominator of ((-3)/(-4))/(-2*(-1785)/(-532)) and 117/220.
3740
Suppose -10*i - 156 + 16 = 0. Let j = 30 + i. What is the lowest common multiple of 334 and j?
2672
Suppose 4*v = 6*v - 40. Suppose 0 = -4*d + 2*d - 3*o - 70, -184 = 5*d + 3*o. Let j(z) = -12*z - 424. What is the smallest common multiple of v and j(d)?
160
Let t = -3839371/156 - -49195/2. Let f = t + 192/13. What is the common denominator of f and 37/102?
204
Let z = 124 - 126. Let o be (-4 - z)*(-2 + 0 - 1369). Let i = -21967/8 + o. What is the common denominator of i and -51/62?
248
Let n = 6653 - 325942/49. Find the common denominator of -1*(-194)/98 - 1 and n.
49
Let h = -11466 - -11482. What is the lowest common multiple of 942 and h?
7536
Let d be 3 + -2 + -4 + 7 + 11. Suppose d*u = -76 + 226. What is the lowest common multiple of u and 35?
70
Let y(f) = -2*f**2 + 101*f - 33. What is the least common multiple of y(23) and 2352?
25872
Let m = 220 - 230. Calculate the least common multiple of 5 and m/(-35) + 204/21.
10
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