264
Let k(x) = x**3 + 6*x**2 - 140*x + 31. What is the smallest common multiple of k(-14) and 126?
5922
Let o = 1326 - 882. What is the smallest common multiple of 16 and o?
1776
Suppose 0 = 4*z - 4*k + 72, z - 2*k = k - 24. Find the common denominator of (40/(-25))/((-513)/z) and -5/24.
1368
Let k = 54/935 + -35293/5610. Calculate the common denominator of (-6 - (-476)/(-102))*(-9)/20 and k.
30
Suppose 3*g = v + 5685, -v + 2*v + 5689 = 2*g. Let n be (500247/(-88) - -5) + -9. Let b = n - v. Calculate the common denominator of -87/14 and b.
56
Find the common denominator of -115/1204 and (-542)/84 - (-19)/(589/93).
3612
What is the lowest common multiple of 52/(-78)*(-897)/2 and 65?
1495
Calculate the common denominator of 51/4 and ((-112778)/(-1056635))/(44/(-5)).
17644
Let p = 71890715/18 + -3992802. Let q = p - 1127. Let o = -115039/84 + 9642/7. Find the common denominator of o and q.
36
Let b = 251 - 182. Suppose -2*i + 45 = -b. Calculate the lowest common multiple of i and 7.
399
Suppose -97*c + 82*c + 5175 = 0. What is the lowest common multiple of 552 and c?
2760
Let c(z) = -91*z - 668. Calculate the smallest common multiple of c(-8) and 52.
780
Suppose -199*t + 204*t = 115. Suppose -1079 = -t*u + 439. What is the lowest common multiple of 2 and u?
66
What is the least common multiple of 175 and (-558)/1488 + (-3083)/(-8)?
1925
Let z = -487081/30 - -16240. Let b = -6356 - -1097. Let a = b + 110416/21. What is the common denominator of z and a?
210
Let w = -253 - -221. Let z(m) = -2*m**2 - 64*m + 3. Calculate the least common multiple of z(w) and 6.
6
Suppose -590 = -71*m + 12*m. Let a(n) = -n**2 + 12*n - 25. What is the smallest common multiple of a(8) and m?
70
Let r be 3*(-189897)/70686 - -4. Let s = r + 5/357. What is the common denominator of s and -55/2?
22
Let r(l) = 10*l + 2. Let p be r(2). Let a = p + -51. What is the common denominator of a and 11206/364 - (2 - (-48)/(-28))?
2
Suppose 0 = 190*q + 6510 - 59330. Calculate the least common multiple of q and 1946.
1946
Suppose 18 = -4*r + 2. Let x = 195851/1302104 + 3/15688. Calculate the common denominator of r and x.
166
Find the common denominator of (1120/42)/(-20)*315/18 and 34/511.
1533
Let r = -87505/14 + 6253. Find the common denominator of r and 3/18*342/(-134).
938
Suppose 26*z = 21*z - 25. Let k(h) = 12*h**2 + 10*h + 46. What is the lowest common multiple of k(z) and 8?
296
Let n = 776/75 - 46066/3075. Let p = 785/656 + n. Calculate the common denominator of 5 + 10 + (-582)/84 and p.
112
Let z be 2377358/4730 + 4/10. Let i = -5538/11 + z. What is the common denominator of i and -6*5298/1584 + 18 + (-2)/(-8)?
473
Let f = -12374 - -648187244/52383. Let a = f + 3823919/1047660. What is the common denominator of 97/36 and a?
180
Let t be (8/6)/(130/(-45) + 3). Suppose 26*l - 2156 = t*l. What is the least common multiple of l and 42?
462
Suppose -5*x + 12 + 3 = 0, -19 = 4*c - 5*x. Let y(z) = z - 1. Let n(o) = 49. Let p(b) = c*n(b) + 5*y(b). Calculate the least common multiple of 14 and p(12).
42
Let k = -553 + 543. Find the common denominator of 97/40 and 3/k*429/(-156).
40
Let b = -123 + 443. Suppose -64 + b = 8*s. Calculate the least common multiple of 32 and s.
32
Let v = 459 + -19. Suppose 0 = -8*d + 19*d - v. Calculate the least common multiple of 36 and d.
360
Suppose j - 5*u = 0, -u + 8 = j + 2. What is the common denominator of 143/6 and (113/(-8))/(j*9/30)?
12
Let z be (-9)/(-6)*(-2 + 0) - -5. Calculate the smallest common multiple of 210/27 + (-1)/(27/(-6)) and 1*2/z + (-17)/(-17).
8
Let s(t) = -3*t + 15. Let v(j) = -7*j + 30. Let l(a) = -9*s(a) + 4*v(a). Let u be l(-7). What is the common denominator of u/(-36)*((-1038)/40 + 0) and 79/6?
30
What is the common denominator of (194/(-3))/(2*18) and ((-4)/(-24))/(1/(5 + (-121)/(-5)))?
270
Let v = 9782447/150 + -65217. Calculate the common denominator of v and (-1213)/198 - 2/(-11).
450
Find the common denominator of -1 - -15 - (-153)/34 and -21/380.
380
Let b = 111578577 + -6694950797/60. Let t = -19674/5 - b. Find the common denominator of (-273)/2*(-5)/(-75) - -2 and t.
60
Let a = 211 - 185. Let v(n) = 2*n - 50. Let m be v(25). What is the least common multiple of 18/9 - (0 - m) and a?
26
Suppose 6*t = -6*t + 48. Suppose t*m - 3*k - 163 = 137, 344 = 5*m + 4*k. What is the smallest common multiple of m and 64?
576
What is the common denominator of 22/125 and (187 - 163)/(0 - -455)?
11375
Let p = 23735362/11 - 2155905. Let w = -1858 + p. Find the common denominator of w and -47*(-7)/(847/(-33)) - -10.
11
What is the common denominator of ((-158)/(-396) - (-5)/(-15))/((-1176)/504) and -127/24?
1848
Let z = 764 + -759. Suppose z*m = 2*a - 7*a + 60, m + 5*a - 20 = 0. What is the smallest common multiple of m and (2/3)/(2/114)?
190
Suppose -r - 2*r = -2*m + 71, -5*m + 130 = 2*r. Let s = -3 + 11. Suppose -a - s = -24. Calculate the lowest common multiple of m and a.
112
Let d = -465 - -471. Let z = -963 - -1015. What is the lowest common multiple of d and z?
156
Let x = 48883 + -2444071/50. What is the common denominator of 4/(-6) + (-296)/360 and x?
450
Find the common denominator of (-861)/(-308)*(3 - (-303)/(-99)) and -17/5.
1210
Suppose 2*b + 3*p - 1 = 21, 0 = 5*b - p - 21. Calculate the least common multiple of b and 486.
2430
Let b = 36040 + -973126/27. Let u be (21947/(-210))/((-3)/4). Let o = 979/7 - u. Find the common denominator of b and o.
135
Suppose -w + 4*c + 30 = 0, -3*w = 2*c + 16 - 148. Suppose 71*z - w = 64*z. What is the smallest common multiple of 4/10 + (-96)/(-10) and z?
30
Calculate the least common multiple of 352 and (-1210178)/(-4585) + 4/70.
1056
Let q(a) = -a - 3. Let o be q(-7). Let c be 47531/15829 - (-1 + o). Let g = c + 63280/12951. What is the common denominator of 41/10 and g?
90
Find the common denominator of (-13 - 472/(-36))/(12/(-522)) and 67/1988.
5964
Let w = -469528/5 - -566250563/6030. Calculate the common denominator of 69/670 and w.
6030
Let v = 238347378937/594584145008 - -115/5464526. Let u = v - -7/7772. Calculate the common denominator of 23/64 and u.
448
Let y = 309/226 - 132984/98875. Calculate the common denominator of 62/9 and y.
15750
Let p be 60/(-8)*(-744)/20. Let k = p - -177. Calculate the smallest common multiple of 18 and k.
1368
Let m = -758 - 226. Calculate the smallest common multiple of (-5)/((-70)/4) + m/(-84) and 30.
60
Let p be (-2 - 0)/((-12)/18). Let d be (4116/(-16) + p)/(-15 - -1). Let f = -65/7 + d. Find the common denominator of f and -45/22.
88
Suppose -8*y + 66 + 62 = 0. Let u(c) = -2*c - 58. Calculate the smallest common multiple of y and u(-32).
48
Suppose -45 = -10*j + 95. Let n(r) = 2*r - 26. Let z be n(j). What is the smallest common multiple of z + 21 + (-1)/(-5)*5 and 24?
24
Suppose 15*o + 25 - 85 = 0. Calculate the common denominator of 33/14 and -4 - (o/30)/((-6)/(-150)).
42
Calculate the common denominator of -31/3522 and (7/(-168)*4)/(12/426).
7044
Let n be 2/(-3 - 147/(-51)). Find the common denominator of 35/18 and n/(-504)*8/((-56)/35).
504
Let d(a) = -47*a - 22. Let v be d(-5). Let g = 247 - v. Find the common denominator of 1/((-27)/(-15)) + -3 and g.
9
Suppose 3*r + 209 = 2*r. Let k = r - -219. Calculate the least common multiple of 10 and k.
10
Let q be (-6)/4 + -360466*(-10)/137760. Let o = 5762959/2296 - 2510. Let r = o - q. What is the common denominator of 64/9 and r?
9
What is the common denominator of ((-72)/(-12))/12 - (-3 + (-471)/(-120)) and -59/685?
5480
Suppose 2*l + 1347 = 5*k, 1090 = 3*k - 2*l + 281. Let t = k - 253. What is the smallest common multiple of 88 and t?
176
Let v be 14/77 - 86516/(-95040). Let p = 176/135 + v. What is the common denominator of p and -51/16?
48
Calculate the lowest common multiple of 11 - 1/((-14)/8414) and 918.
1836
Let r(j) = -13*j + 134. Let s(u) = -2. Let f(b) = r(b) + 6*s(b). What is the smallest common multiple of f(9) and 15?
15
Let q(v) = 100*v - 1094. Calculate the least common multiple of 1404 and q(11).
1404
Let p(o) = o**3 - 23*o**2 + 67*o - 95. Calculate the least common multiple of p(20) and 150.
450
Find the common denominator of 7*-44*7/2296 and -31/84.
3444
Let m = -11003302/7 + 21698728901/13804. Let w = 2/493 + m. Calculate the common denominator of w and -49/130.
260
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