163 - -155. Calculate the lowest common multiple of 106 and d.
318
Let z(b) = b**3 - 4*b**2 + b - 3. Let l be z(5). Let t = 1936/7 + -273. What is the common denominator of t and 5 + -3 - (-60)/l?
63
Let s = 6479095/108 + -59991. Find the common denominator of 61/612 and s.
1836
Let b = -3068 + 3090. Let i(d) = -d**2 - 8*d + 5. Let n(x) = x. Let m be n(-7). Calculate the least common multiple of b and i(m).
132
Let w = 93 + -65. Let i = w - -3. What is the common denominator of -17/8 and -1 + i/2 + -4?
8
Let d = 145681/36020 + 10/1801. Calculate the common denominator of d and 59/16.
80
Let n = -1725 - 1624. Let z = 187553/56 + n. Calculate the common denominator of z and 122/(-3)*(-9)/(-48).
56
Suppose 4*f = -5*n - 980, 4*n - 9*f + 8*f = -763. Find the common denominator of 83/8 - 144/n and 113/144.
144
Let p be (1/(-2))/(7/56). Let o(f) = f**3 + 5*f**2 + f - 4. Calculate the lowest common multiple of o(p) and (39 - -1)*3/6.
40
Suppose -26*a = -51 - 209. Let t(h) = 13*h - 13. Let u(w) = -w + 1. Let z(o) = 2*t(o) + 22*u(o). What is the least common multiple of z(a) and 40?
360
Let m = 72472544822087129/6820898647039080 - -1/31043594789. Let h = m - 2/27465. Find the common denominator of 14 and h.
8
Let h(w) = 22*w - 119. Let y be h(7). Find the common denominator of 31/10 and (-399)/(-45) + 3 - 7/y.
30
Let i(j) = -318*j. Let b be i(10). Let n be 33286/b - ((3 - 5) + -1). Let o = n + 182/53. Calculate the common denominator of o and 35/9.
90
Let u = -13191/99550 + 43/1991. What is the common denominator of 24/275 and u?
550
Let s = 115697/22 - 5255. Suppose -10*g = -15 - 15. Find the common denominator of (g/90)/((-6)/(-27)) and s.
220
Let x(w) = w**3 - 15*w**2 + 3*w - 51. Let q be x(15). Let r(j) = 2*j**2 + 9*j + 2. Calculate the least common multiple of r(-6) and 1/(-5) + (27054/(-45))/q.
100
Calculate the common denominator of -17/9 and 1994664/9300620 + ((-6)/5 - -1).
19287
Suppose 36 - 179 = 5*m + 3*l, -4*m + 5*l - 144 = 0. What is the common denominator of -23/6 and ((-36)/(-9) + m)*2/20?
30
Let w(d) = 65*d + 27. Let j be w(-2). Let t = j - -107. What is the smallest common multiple of (-372)/(-30) + (-4)/10 and t?
12
Let j = 2095099/186 + -11264. What is the common denominator of j and 61/54?
1674
Suppose x - 3*x = -4*d - 30, 5*d = 3*x - 42. Let b be 3/6*4/1. Suppose 9*n - 112 = b*n. Calculate the least common multiple of x and n.
144
Suppose 9*c - 37*c - 3841 = -15601. What is the smallest common multiple of 20 and c?
420
Let v(o) = o**3 - 8*o**2 + o. Suppose 49*i = -40*i + 93*i - 940. What is the lowest common multiple of v(8) and i?
1880
Let g(l) = l**3 + 12*l**2 + 6*l - 44. Let p be g(-13). Calculate the common denominator of (10/35)/(60/p) and -79/70.
70
Suppose -2*p = r - 59448, 4*r + 2*p - 297240 = -r. Let f = 3329205/56 - r. What is the common denominator of f and 4 - 54/28 - 0/3?
56
Suppose -c - 5*h - 19 = -2*c, -2*h - 4 = 0. Suppose 264 = 31*v - c*v. What is the least common multiple of 6 and v?
12
Let v(k) = k**2 + 7*k + 2. Let h = 305201 - 305197. What is the lowest common multiple of v(-7) and h?
4
Find the common denominator of -67/1122 and 3072/2304 + (-114)/40.
11220
Let c(h) = 3*h**3 - 3*h**2 - 9. Let y be c(4). Let f = y + -115. What is the smallest common multiple of 1 and f?
20
Let f(w) = w**3 + 5*w**2 + 3*w - 7. Let g be f(-3). Suppose -4*u - 29 = -x, g*x + 0*u - 37 = u. Calculate the lowest common multiple of 68 and x.
68
Let b = 112711/10 + -11264. Calculate the common denominator of b and -97/258.
1290
Let x = 25132325/301 - 83496. Calculate the common denominator of x and 35/731.
5117
What is the least common multiple of -4 + ((-159)/(-9) - -3)*(-87)/(-58) and 2979?
8937
Suppose 4*s + 2*a = 7686, -30*a = -5*s - 34*a + 9612. What is the lowest common multiple of s and 56?
13440
Let q = -438 + -108. Calculate the least common multiple of -4 + q/(-133) + (-1936)/(-19) and 10.
510
Let t = 6250/49 + -1044874/441. Let d = t + 20468/9. Let z = d + -1702/63. What is the common denominator of z and 13/5?
35
Let v = 37 - 42. Let f be (33/12)/(v/(-20)). Find the common denominator of 73/3 - f/22 and -44/49.
294
Suppose 4*i = -m + 20, 53*i + 4*m - 20 = 52*i. Let h = -34 - -31. Calculate the lowest common multiple of i and (5 - (h + 3)) + 0.
20
Let z = -5/139883 + -6558856/437693907. What is the common denominator of 52/1341 and z?
9387
Suppose -15 = -5*g, -66 = -4*o - 3*g - 13. Let y = -6 + o. Let v(a) = 2*a + 51. Calculate the least common multiple of v(-21) and y.
45
Suppose 4*f = -3*o - 0*o + 78, -2*f = -5*o + 156. Calculate the least common multiple of o and -18 - 14/(126/(-351)).
210
Suppose -4*z = 5*a + 120 - 51, 3*z = 4*a + 49. Let j(r) = 4*r**2 + 51*r + 5. Calculate the least common multiple of 102 and j(a).
306
Suppose -5*k - 13 + 78 = 5*z, z + 19 = 3*k. Calculate the smallest common multiple of 2 + 41 - (k/(-2))/4 and 18.
396
Suppose -2*u - 1269 = -6209. Let z(s) = -s + 2. What is the smallest common multiple of 2/5*u/76 and z(-3)?
65
Let m be (-6)/(-42) - (-1828)/(-7). Let b = -257 - m. Suppose -4*a + 9*a = 2*c - 46, -50 = -3*c - 2*a. Calculate the smallest common multiple of b and c.
36
Let m = 5089/12 - 419. Find the common denominator of m and ((-8 + 7)*1)/(144/(-1896)) + -8.
12
Let k(s) = -s**3 + 8*s**2 + 15*s - 7. Let o be k(10). Let u = -26 + -16. Let z = u - o. Calculate the lowest common multiple of z and 3.
15
Let z = 1529833/110 - 27813/2. Calculate the common denominator of ((-11349)/(-2328))/((-150)/(-8)) and z.
550
Let j = 96/145 + 4889/1595. What is the common denominator of 29/1714 and j?
18854
Let m = -341411/32 + 10672. Let z be (32167/(-5))/((-248)/682). Let s = z + -17687. What is the common denominator of m and s?
160
Suppose -7*p + 4*p = -111. Suppose p*v - 38*v = -65. What is the least common multiple of 143 and v?
715
Suppose 0*g - 66 = -3*g. Calculate the smallest common multiple of g and (1 - 2) + (-248 - -265).
176
What is the common denominator of -101/165 and (-77)/55*23/(108675/(-198))?
4125
Suppose -4*n = 2*r - 422, -5*n - 2*r + 511 = -5*r. Suppose -50*w + 42*w - n = 0. What is the common denominator of -29/8 and 4/(-6) - w/33?
88
Suppose 0 = -4*l + 5*l - 88. Suppose 97*k - 814 = 219*k - 159*k. What is the lowest common multiple of k and l?
88
Let w = 137855/48 + -11495/4. Calculate the common denominator of w and 49/256.
768
Suppose -4*d - 18 = 2, -3*k + 5*d + 34 = 0. Suppose -3*g + 6*g + k*u + 129 = 0, -3*u = 4*g + 176. Calculate the common denominator of (-134)/4*(-2)/4 and g.
4
What is the least common multiple of (7 - 913/99)*222*6/(-2) and 37?
1480
Let w(k) = -218*k + 1532. Calculate the least common multiple of 1160 and w(7).
3480
Let o(q) be the first derivative of -9*q**2 - 32*q - 94. What is the lowest common multiple of 8 and o(-3)?
88
Suppose 2*g + 11*y - 15*y - 74 = 0, -3*y + 22 = g. Suppose -35*x + 80 = 3*j - g*x, 2*j - x = 35. Let z = 10 + 4. Calculate the least common multiple of z and j.
140
Calculate the common denominator of -11/34 and (27/(-420))/(5/((-600)/(-968)) - 9).
6664
Let x be (5/(-1) + 1)/(16/(-24)). Find the common denominator of x/(-7)*((-35)/20)/1 and 131/(-34) + (1 - -2).
34
Let p = -149995/12 - -12488. What is the common denominator of 1/(-4 + -3 + (-2120)/(-155)) and p?
828
What is the common denominator of -31/1118 and (1836/(-544))/(1 + (-4971)/(-60))?
1118
Suppose 0 = 15*c - 46*c + 49600. What is the common denominator of 1/3 - (-157)/24 and (-2)/(-5) - 10/c*-146?
16
Suppose 4*u = 3*n + 574 + 256, 2*n + 544 = 5*u. Calculate the common denominator of 15/(-40) - (6 - (-665)/120) and ((-2)/(56/n))/(-3).
84
Suppose -4*w + b = -1967, -2949 = -25*w + 19*w + b. What is the lowest common multiple of 52 and w?
25532
Let r = 115923 + -68162639/588. Find the common denominator of 71/196 and r.
588
Suppose 3*i + 18*p = 23*p + 62, 4*i + 3*p - 102 = 0. Calculate the smallest common multiple of i and 798.
3192
What is the lowest common multiple of 2388 and 81 - (22/(-2) - (3 - 11))?
16716
Let w = -31017/16700 + 79/1670. Let t = w + -377/175. Calculate the common denominator of 45/8 and t.
56
What is the smallest common multiple of 160 and (-3 - -1) + (30 + (0 - -5) - 1)?
160
Let c = -5471 - -27298/5. What is the common denominator of c and -83/195?
195
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