+ j. Find the common denominator of q and ((-8)/(-20))/(24/485).
12
Let s = -39 - -54. Let t(h) = -16*h - 9. Let y be t(-3). Calculate the least common multiple of s and 1/(5/(y + -4)).
105
Let r = -30524/23 - -85771681/64630. Calculate the common denominator of r and 4/1967.
19670
Suppose -r = -20 - 212. Let f = -228 + r. What is the lowest common multiple of f and 3?
12
Let c be -6 + 6/1 + 2. Find the common denominator of (2/(-24))/((-1227)/621 + c) and -41/20.
20
Let v(w) = -155*w + 13. Let h be v(2). Calculate the common denominator of -73/33 and (4 - h/(-180))/((-12)/(-5)).
528
Let y = 67894 - 4480915/66. Find the common denominator of 91*2/440*-2 and y.
330
Let f = 2/635 + 887/635. What is the common denominator of f and (((-2)/9)/(-2))/(366704/(-3362) - -109)?
135
Let z = 16701 + -801587/48. What is the common denominator of ((-39)/2 + 2)/27 and z?
432
Suppose -2879 = 9*q + 8*q - 7418. What is the smallest common multiple of 712 and q?
2136
Let z = 25 + -1. Let p(f) = -4*f**2 + 24*f + 18. What is the least common multiple of p(6) and z?
72
Let p(i) be the third derivative of -i**5/60 + 11*i**4/24 - i**3/6 - 16*i**2. Let j be p(11). Find the common denominator of -3 + j - 109/(-24) and -65/12.
24
Let k = -98 + 99. Let v be ((-18)/36)/(k*1/(-8)). Suppose 0 = d - 2 - 0, -4*l = v*d - 96. Calculate the least common multiple of 2 and l.
22
Suppose -3*g = -a + 9, -2*g + 19 = -4*a - g. Find the common denominator of 1633/414 - 10/a and -95/8.
72
Calculate the common denominator of -71/14 and 1224575/(-3462536) - 6/(-16).
1078
Suppose -4*u + 46 = 126. Let c = u + 144. Let d = -97 + c. What is the least common multiple of d and 27?
27
What is the lowest common multiple of 1239/2065*14920*1 and 16?
17904
Find the common denominator of 11 - (45 - 38) - (-2)/((-204)/395) and -155/1428.
1428
Suppose 3*h + 17 + 37 = 0. Find the common denominator of -2 + ((-141)/h)/(-1) and ((-56)/(-420) + 247/(-15))/((-60)/(-45)).
12
Suppose i + 4 = 0, -2*i = -2*f - 3*i + 33978. Let p = -407891/24 + f. Find the common denominator of 2 - (-6)/((-180)/157) and p.
120
Suppose h + 0*h - 2*s - 351 = 0, -2*s - 1374 = -4*h. Let n = -685 + h. Let c = n + 667/2. Calculate the common denominator of 48/13 and c.
26
Suppose -i = -4*k + 12589, 0 = -2*i + 8*k - 3*k - 25181. Let w = i - -125821/10. Find the common denominator of 37/32 and w.
160
Suppose 2*k = 8, -k - 1078 = -5*o + 493. Calculate the least common multiple of o and 105.
315
Suppose -2*w + 702 = -4*f, -13*f + 11*f = -4*w + 1422. What is the smallest common multiple of 306 and w?
2142
Let u be -4 - ((-6)/2 + -92). Let w be ((-8)/12)/(-2)*-219. Let v = w + u. Calculate the lowest common multiple of v and 74.
666
Let t be (18 + 88/(-11))/(2*1). Suppose 16*c = 11*c - 5*x - 40, t*c = 5*x - 30. What is the common denominator of 342/4*2/(-12) and c?
4
Suppose -2*x + 4*z = -12, -4*x + z + 21 = -3. Suppose -451 = -x*g + 11. What is the least common multiple of g and 56?
616
Let j = 3471/524 + -3346963/503040. What is the common denominator of -59/6144 and j?
30720
Let d = -42347475/724 - -58491. Calculate the common denominator of -91/24 and d.
4344
Let a be (4/6)/(3/18). Suppose -3*h = -3*o + 69, -2*o - 21 = -a*o - 3*h. Calculate the lowest common multiple of 30 and o.
90
Let q = 87 + -97. Let n(g) = g**3 + 13*g**2 + 5*g + 15. Let l be n(q). Find the common denominator of 131/12 and (l/(-35))/(6/2 - 1).
84
Let b = 768/7 + -2061/14. What is the common denominator of 65/138 and b?
138
Let k = -18 + 22. Let x be (-651760)/(-14) + k/(-14). Let h = x - 1675823/36. Find the common denominator of -139/18 and h.
36
Let n = -3295 + 52739/16. Suppose 3*u + 6*v + 30 = 5*v, 0 = 2*u - 4*v + 20. Find the common denominator of u + 7 - 201/(-108) and n.
144
Find the common denominator of -41/2336 and 499/80 - (-35 - 7766/(-220)).
2336
Suppose 0 = 64*k + 19*k - 23*k - 4560. Calculate the smallest common multiple of k and 20.
380
Let x = 5136 + -5112. What is the lowest common multiple of x and 40?
120
Let l be 3*4/6 - 101. Let i = l - -141. What is the smallest common multiple of i and ((-6 - -2)/(-1))/(((-420)/1155)/(-2))?
462
Suppose 4078 = 46*p - 6594. Calculate the least common multiple of 8 and p.
232
Let t(f) = 4834*f - 14475. What is the lowest common multiple of 501/15 + (-6)/15 and t(3)?
297
Let v = 446027/104379 + -4/9489. Suppose u = 5*c + 4*u - 22, 5*c = 4*u - 6. Find the common denominator of v and -3 - ((-72)/14)/c.
77
Suppose 0 = -17*v + 14*v + 3. Suppose p + m = 8, 5*p = 5*m - 11 + v. What is the least common multiple of 14 and 15/p - (6 - 3)?
14
Let g = -19517/16044 - -80/191. Find the common denominator of g and -47/140.
420
Suppose -2*z - z + 12 = 0. Suppose -2*k + 140 = 2. Suppose 4*w - 19 = k. What is the lowest common multiple of z and w?
44
Let m(i) = -4*i**2 - 10*i + 6. Let s be m(-7). Let r = -26360 + 2583233/98. What is the common denominator of r and 7*9/3*6/s?
980
Let a(v) = 23*v + 963. What is the least common multiple of a(-30) and 455?
1365
Calculate the common denominator of -39/1013 and (-485)/24*(-132)/(-220).
8104
Let n = -8852/9 - 14507/18. Let o = n - -12582/7. Calculate the common denominator of ((-8)/(-544))/(4/(-22)) and o.
952
Suppose 4*f = 4*g + 188, g + f + 20 = -33. Find the common denominator of 47/128 and 145/g*(1 - -4 - 4).
640
Calculate the common denominator of -91/16 and 20/(-25) + 6808/7680.
960
Find the common denominator of 121/140 and (-765)/(-700) + (-4)/80.
140
What is the common denominator of (2 + 341/(-176))*-18 and -2*(1 + 1) + (-1393)/(-448)?
64
Let b = -6002 - -6530. Calculate the least common multiple of b and 264.
528
Suppose -2 - 17 = t + 5*u, 2*u = -4*t + 14. Suppose -t*p = -34 - 14. Suppose -p = l + 39. What is the common denominator of 17/4 and l?
4
Suppose 5*j + k + 382 = 0, 72 + 14 = -j + 3*k. Calculate the common denominator of (-2)/7 - 127/j and (94/(-846))/(150/7605).
330
What is the common denominator of 22/21 and (-1)/(-12)*2 + 81301/(-141702)?
2373
Suppose 0 = -3*f + 2*h + 316 + 10, -25 = -5*h. Suppose 2*n = -2*n + f. Let j(r) = -11*r - 22. What is the smallest common multiple of j(-6) and n?
308
Let x(c) = -c + 36. Let g(s) = -6*s + 34. Let i be g(-8). Suppose -9*w + i = -80. Calculate the lowest common multiple of w and x(16).
180
Let z be (-28)/(-2) + 12/(-3). What is the common denominator of 2/9 - 1551/1998 and -1 - ((-4)/z)/((-24)/(-1030))?
222
Let r(q) be the first derivative of -525*q**2 + 7*q - 2. Let o be r(7). Let x = 161575/22 + o. What is the common denominator of x and -9/22?
22
Let j = -5033/1160 - -9/232. Let h = -1197/2 + 586. What is the common denominator of j and h?
10
Calculate the least common multiple of 187 and (-2091323)/(-2210) - 9/30.
16082
Let z(s) = s**3 - 21*s**2 - s - 6. Let w be z(21). Let m = w + 47. Let l(d) = 19*d**2 + 227*d + 6. What is the smallest common multiple of m and l(-12)?
180
Suppose x - 4*j = -4*x + 131, x - 5*j - 22 = 0. Suppose -136*t = -157*t + 630. What is the smallest common multiple of x and t?
270
Suppose -y = -t + 7, -5*t - 28*y + 31*y = -43. What is the smallest common multiple of t and 4577?
50347
Suppose -269*w = -243*w - 130. Let y = 19 - -28. What is the smallest common multiple of y and w?
235
Suppose 16*k - 10*k = 36. Let q(v) = v**2 + 12*v - 5. Let j(y) = -y - 1. Let i(o) = 6*j(o) + q(o). Calculate the lowest common multiple of i(-8) and k.
30
Suppose 32*s + 176351 - 176671 = 0. Let u = -85 + 129. What is the smallest common multiple of s and u?
220
Suppose 124894 = -76*t + 634930. What is the smallest common multiple of 27 and t?
60399
Let o be (-4 + (-1164)/(-296))*28/(-21245). Let r = o + 2672597/269508. Calculate the common denominator of 67/75 and r.
300
What is the common denominator of (-14)/(-6) - 9090/2520 and 71/42?
84
Find the common denominator of (2 + 69/33)/(-1) and (4326/(-36))/7 - (4 + 0).
66
Let x(c) = 2*c - 2. Let t be x(2). Suppose 0 = 4*a - 3*i - 22, 2*i + 4 = 3*a - 12. Calculate the least common multiple of 10 + 0*1/t and a.
20
Let c be (248/12 + -2)*(-1 + 4). Let p = -2967/3100 + 207/100. What is the common denominator of ((-287)/40 + -1)/((-42)/c) and p?
310
Let t = 185/8 + -23. Suppose -9345 = -4*f - 2261. Calculate the common denominator of t and f/330 + (-2)/(-4).
120
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