
Let b be 2/20 + 15834/60. Let n = b - 260. Calculate the least common multiple of n and 252.
252
Let o = -12980/22701 + 34/69. Let d = -40329/6580 - o. Let r = 36657/16 - 2289. Calculate the common denominator of d and r.
80
Let q(a) = -4*a**2 - 10*a. Let u be q(6). What is the common denominator of ((-14)/202)/(136/u) and -79/8?
808
Let g = 9 + -6. Let i(q) = 26*q + 46. Let c be i(-11). Let k = -207 - c. Calculate the lowest common multiple of g and k.
33
Suppose 15*u + 11*u - 52 = 0. Let s = 10 + -7. Suppose -4*f = -2*q + 36, 7*f - u*f + 53 = s*q. Calculate the least common multiple of q and 6.
48
Suppose 0 = 3*y - 119 + 11. Let p be (-21 + 16)*y/5. Calculate the common denominator of -139/6 and 717/p + 6/(-24).
6
Let d(b) = -2*b - 8. Let r be (-248)/(-12)*(-3)/2. Let f = r - -37. Calculate the least common multiple of f and d(-15).
66
Let s = 3 + 0. Let a be (-4)/6*-3*15/(-5). What is the lowest common multiple of s and (1 + 5)*(a - (-22)/3)?
24
Let v = 52/31353 + -377155/2654554. What is the common denominator of v and 27/2794?
8382
What is the least common multiple of -14*((-120)/16 - -7) and (2 - 1)/(12/204)?
119
Suppose 58*k - 28*k = 3750. What is the smallest common multiple of 10 and k?
250
Let f = 167808/347 - 34856613/6593. Let u = 4802 + f. Calculate the common denominator of -19/17 and u.
323
Suppose 8 + 22 = 6*j. Let g(d) = 4*d**2 - 6*d + 12. Let l be g(j). What is the common denominator of (-2)/(-11)*l/8 and 27/22?
22
Let n = -7034 - -3464. Let g = 272 + -5451/20. What is the common denominator of 0 + 0 - n/(-1620) and g?
540
Suppose 4*v + 189 = -4*m + 25, -4*m + v - 139 = 0. What is the common denominator of 71/12 and (-128)/m + 5/(-5)?
36
Let g be ((-2)/4)/(40/240). Calculate the common denominator of -3 - (g + (-124)/(-24)) and 25/23.
138
Suppose 0 = -0*g - 4*g + 180. Suppose n + 207 = 4*q, 3*q - 649 = 10*n - 466. What is the least common multiple of q and g?
765
Let a(t) = -2*t**3 - 9*t**2 - 12*t + 4. Let z be a(-5). Suppose -92*b + 228 = -z*b. What is the common denominator of -43/9 and (2 + b)/((-27)/(-2))?
9
Let q be (-10)/85 - (0 - (-186596)/(-34)). Find the common denominator of (1/(-63))/((-96)/q) and -94/15.
270
Suppose 0 = 302*x - 149*x - 152*x - 258. What is the least common multiple of x and 9?
774
Let i(d) = -180*d - 528. What is the least common multiple of 1650 and i(-3)?
3300
Suppose -3*u - 3*r + 184 = 2*r, u - 88 = 5*r. Suppose -2*g + u = -22. Suppose -g = 5*c - 105. What is the lowest common multiple of c and 30?
60
Suppose 2*d = -3*b + 11, -2*b + 7 = b + 4*d. Let n(g) = g**3 - 6*g**2 + 7*g + 10. Calculate the lowest common multiple of (-21)/7 + 20 + -1 and n(b).
80
What is the common denominator of 11/804 and (2/27)/(8*804/8064)?
2412
Calculate the common denominator of -33/46 and (1089/(-1518))/(5/(-2)).
230
Let x be (9/1)/(39/13). Suppose a = 5*l + 3 - 53, 4*l - 40 = x*a. Calculate the smallest common multiple of 35 and l.
70
Let k be 2/9 + (-28)/(-36). Find the common denominator of k - -2 - 149/10 and 209/76*(-3 + (-2 - 0)).
20
Let a = -275/8 - -2143/72. Find the common denominator of -143/1212 and a.
3636
Let h(d) = -d**2 - 8*d + 18. Let l be -2 - (1 - -2 - 3). Let v be 432/24*1/l. Calculate the lowest common multiple of 36 and h(v).
36
Let m be (90/135)/(1/6). Suppose m*l + 67 = 3*j, -3*l = 5*j - 7*j + 45. Suppose -2*d + 0*d + 24 = 0. What is the least common multiple of j and d?
84
Find the common denominator of (-460)/2928 + (16/60)/(60/50) and 89/96.
17568
Let b(k) = 119*k**3 - k**2 - 3*k - 2. Let q be b(-1). Calculate the common denominator of (q/432)/((-36)/108) and -41/27.
432
Suppose 4*w + 256 = 3*y - 476, y - 228 = -4*w. What is the least common multiple of (234/(-104))/((-3)/y) and 18?
180
Let c = 38461/4 - 9633. What is the common denominator of c and -92/45?
180
Calculate the common denominator of ((-8)/(960/(-3950)))/5 and -49/192.
192
Let r = -4627/2 - -2335. What is the common denominator of -17/4710 and r?
4710
Let s = -476/11 + 27209/627. Let g = -2602/627 - s. Calculate the common denominator of g and 58/3.
33
Suppose 5*n - 4*s - 164 - 65 = 0, 2*n - 92 = 2*s. What is the lowest common multiple of 27 and n?
135
Suppose 0 = 3*y - 4*a - 259 - 115, 0 = -4*y - 4*a + 536. Suppose -2*v = v + 2*i - y, -131 = -3*v - i. What is the least common multiple of 12 and v?
132
Find the common denominator of -79/924 and (70928/40320)/(-11) - 4/(-10).
5544
Suppose 35 = -32*q + 37*q. Suppose -q*c + 8 = 218. Let p = -26 - c. What is the least common multiple of p and 4?
4
Let z = 1332441861/2360 - 564594. What is the common denominator of z and 23/2065?
16520
Let y = -6001/5 + 72767/60. Find the common denominator of y and -51/268.
804
What is the smallest common multiple of (1/(-4))/(4/(-592)) and 149?
5513
Suppose -7 + 43 = o. Suppose 130*c = 3703 + 2537. What is the least common multiple of o and c?
144
Let j = -40 - -28. Let v be 5*(1 + j/(-20)). Let x = v - -1. Calculate the lowest common multiple of x and 5.
45
Let g = -42010 + 165779/4. Let c = 563 - 6. Let i = c + g. Find the common denominator of i and 3/2.
4
Let j = 3135196/105 + -29858. Calculate the common denominator of j and (14/(-4))/((-11)/(286/9)) + -6.
315
Let u be (1/853)/(1 + (-1335)/20). Let b = u + -1879960792/1570373. Let o = -1193 - b. Find the common denominator of 2/7 and o.
7
Find the common denominator of 79/620 and (-18 + 4255/207)/(124/(-3)).
1860
Let f be 235581633088/1926 + (36/(-8))/9. Let g = -122316531 + f. Let h = g + 110/107. Find the common denominator of h and 58/7.
126
What is the smallest common multiple of 63 and 9/(-6)*1*(-361 + -87)?
2016
Let j be (2 - 2) + 83 + (0 - -1). Let g = -78 + j. Let q = -7 + 18. Calculate the least common multiple of q and g.
66
Let j(o) = o + 22. Let n be j(15). Suppose -2*a + n = 3*h, 4*h = 3*a + 3 - 16. What is the least common multiple of a and ((-9)/6)/(6*1/(-4))?
11
Let n(q) = 9*q**2 + 8*q - 1. Let l be n(2). Let o = l + -1. Calculate the lowest common multiple of 10 and o.
50
Suppose -2*q - 1107 = q. Find the common denominator of 6 + (23874/(-72))/23 - (-5)/2 and -2 + q/60 + 2.
60
Let v(c) = -3*c - 114. Let q be v(-24). What is the common denominator of 25/7 and 430/84*q/140?
28
Find the common denominator of (22420/708)/((-8)/6) and (-2)/3 + 345/(-684).
76
What is the common denominator of (-3)/(-2) + (-97408)/50820 + 4/10 and 123/10?
25410
Find the common denominator of 53/2046 and 18 + -21 + (-21156)/(-6696).
6138
Let i = 28759/1150 + -606/23. Calculate the common denominator of 54/175 and i.
350
What is the common denominator of -15/3292 and (-117*(-14)/12*1)/(-24)?
13168
Let q = 184497/16 + -11535. Find the common denominator of (1 - 21/27) + (-4758)/(-216) and q.
16
Let k = -9761780/3 - -3218912. Let i = k - -34520. Let u = -23477/48 - i. What is the common denominator of 69/14 and u?
112
Let n(r) = r**2 + 39*r + 456. What is the lowest common multiple of 5544 and n(-12)?
5544
Let h be (-84270)/4*39/390. Let t = h - -2090. Find the common denominator of t and -44/69.
276
Suppose -42 = -t - 2*t. Let j(u) = 2*u**3 + 34*u**2 - 39*u - 34. Let k be 0/(6/2) + -21 + 3. What is the least common multiple of j(k) and t?
140
Suppose -4*p - 5*w + 66 = 0, -2*p + 4 = -p - 5*w. Let l be 2/1 + (-10)/(-1). Let o = p - l. Calculate the least common multiple of 28 and o.
28
Let x(q) = -q**2 - 15*q - 30. Suppose -b + 29 - 28 = 0, -2*t + 17 = 5*b. What is the least common multiple of t and x(-12)?
6
Let k(x) = -6*x - 395. What is the least common multiple of 1829 and k(-66)?
1829
Suppose 22*h + 4834 + 1634 = 0. Let l = -162 - h. Calculate the lowest common multiple of l and 18.
396
Let m = -17768/3685 + 239/67. What is the common denominator of m and 59/20?
220
Let q = -10812 + 10963. What is the lowest common multiple of q and 4?
604
Let j = 248 + -487/2. What is the common denominator of j and (-5)/(50/95)*(-6)/20?
20
Let i = 0 + 21. Find the common denominator of (-14)/i*37/2 and (265/180 - 5)/((-2)/4).
18
Let g = 7848 - 7683. Calculate the lowest common multiple of 10 and g.
330
Suppose -c = -q - 503, -98 = -5*c - q + 2423. What is the least common multiple of 42 and c?
504
Let f(u) = -2*u**2 + 10*u - 6. Let t be f(5). Let p be (10/t)/(5/(-150)). What is the smallest common multiple 