culate the least common multiple of (20 + -30)*g/(-10) and 18.
36
Let w be (-3)/((-158)/(-76) + -2). Let v = -38 - w. Suppose 4*m - 5*d - 27 = 0, 3*d = -v*m + 5*m - 37. What is the smallest common multiple of m and 18?
72
Let a = -771809/35898 - -1/17949. What is the common denominator of a and (-148)/(-36) - (-4)/(-2)?
18
What is the lowest common multiple of 237 + (12 - 6) + -18 and 50/(-4)*24/(-20)?
225
Let w = 10/36909 + 2612419/29970108. Calculate the common denominator of -5/812 and w.
812
Calculate the lowest common multiple of 3283 and 189 + (-24)/((-6)/12*4).
9849
Calculate the common denominator of -55/201 and (-4254040)/101304 + 38 - -2*(0 - -2).
1809
Suppose 2030 = -0*s + 5*s. Suppose -s*i = -410*i + 36. What is the least common multiple of i and 11?
99
What is the common denominator of -23/72 and 10/(-40) - 410/(-648)?
648
Let n = -109274971/1128 + 96875. Find the common denominator of n and 73/846.
3384
Suppose -2*i + 3*u + 24 = 4*u, 0 = 5*i - u - 46. Calculate the smallest common multiple of 15/(-1)*(-4 + (-12)/(-20)) and i.
510
Suppose i - 19 = 2*f - 2*i, 3*f - 4*i = -29. Let g = f + 11. Suppose 3*z - 11*z + 40 = g. What is the least common multiple of z and 6?
30
Let w = -122619 + 122628. What is the least common multiple of w and (-2)/(-5) + 23/5?
45
Suppose -u + 2 = -2*n - 822, 0 = n + 5. Find the common denominator of (-925)/u + 3 + -1 and 25/78.
858
Suppose -4*n + 14 = -3*h, -n + 36 = 40*h - 44*h. Calculate the common denominator of -15/16 and -5 + (h/45 - (-9751)/2772).
176
Let a be 46/(-2)*(12 - 11). Let r = a + 29. Suppose r*d - 42 = -0*d. What is the least common multiple of 4 and d?
28
Let a(h) = h - 6. Let j be a(18). Suppose -13*i - 29 = -j*i. Let p = 35 + i. What is the least common multiple of 10 and p?
30
Suppose -2*r = m - 29, 0*m - m + 55 = 4*r. Suppose -8*a = -r*a + 20. Suppose s = a*s - 33. Calculate the smallest common multiple of 3 and s.
33
Let n = 7/20412395 + 474118690391/24127450890. Let d = -2/703 + 25702/138491. Let r = n + d. Find the common denominator of r and -73/14.
42
Let h(x) = -x**3 + 5*x**2 - x - 4. Let d(m) = m**2 + 13*m - 162. Let s be d(8). Suppose -48 = -s*q + 60. Calculate the least common multiple of h(4) and q.
72
Let l = -39 + 51. Suppose 0 = -5*b + 10 + 5. Suppose -b*w + 2*x = -42, 2*x = -2*w + l + 16. What is the least common multiple of w and 44?
308
Suppose -3 = 3*v, 3*v = 5*j + 6*v - 87. Calculate the least common multiple of j and 555.
3330
Let h = -556937/86 - -6475. Find the common denominator of 59/14 and h.
602
Suppose -l = -4*b - 15, -2*l + 4*l = -3*b - 3. Let j be (b - -10) + 10/(-2). Suppose 30 - j = 2*a. Calculate the least common multiple of a and 96.
672
Calculate the smallest common multiple of 180 and -6 - (-19)/((-228)/(-888)).
3060
Suppose 300 - 189 = 457*h - 803. What is the least common multiple of h and 5218?
5218
Let q be (-20)/(-6)*-658 + -4. Let f = q - 1093/2. Let u = f - -2765. What is the common denominator of 107/6 and u?
6
Let h be 13/(-1521)*-2433 - (-4)/(-6). Let n = h - 207/26. Find the common denominator of -64/15 and n.
30
Let d(s) = s**3 - 2*s**2 + 9*s + 10. Let m(r) = -r**3 - 6*r**2 + 15*r + 1. What is the lowest common multiple of d(0) and m(-8)?
90
Let w = -26383 + 15697928/595. Calculate the common denominator of w and -19/45.
5355
Let s = 214 - 260. Let r = -26089/12 + 2164. Calculate the common denominator of 23/s - 4/(-6) and r.
12
Let q = 101 - 45. Let i be (504/(-98))/(53/q + -1). Suppose 0 = -4*p + p + i. What is the least common multiple of 10 and p?
160
Let s(x) = -23*x + 1. Let j = -34509 + 34523. Calculate the lowest common multiple of s(-3) and j.
70
Let j = -5462 + 5504. Calculate the lowest common multiple of 294 and j.
294
Let x = 13761 - 13749. What is the lowest common multiple of 3704 and x?
11112
Let p = 3916 + -129254/33. Let b be ((-264)/20)/((-4)/20). Calculate the common denominator of (-2)/14*(-3619)/b and p.
66
Calculate the common denominator of 11/3468 and 4168/(-4046) + (28 - 37 - 10/(-1)).
24276
Suppose -21*l + 12*l - 9*l = -54. What is the lowest common multiple of 1743 and l?
1743
Let r(x) = 605*x - 1779. Calculate the least common multiple of r(3) and 22.
396
Let j = -453 - -500. Suppose j*o = 50*o - 12. Calculate the least common multiple of 78 and o.
156
Let q = 35097995/446 + -78695. Find the common denominator of q and 31/4.
892
Calculate the common denominator of (-97)/(-107476)*((-9)/3 + 4) and -67/12.
3324
Suppose 8*z = 3*z - 0*z. Suppose 4*r + z*r + 1456 = 0. What is the common denominator of 4/(-26) - (-712)/r*-3 and -121/6?
42
Let x be 0 + 4 - (-195135498)/(-12). Let w = x + 651157103/40. Let k = w + -17641. Calculate the common denominator of k and -145/12.
120
Suppose 748 = -0*t + 3*t - 5*f, 7*t + 3*f = 1716. What is the lowest common multiple of t and 410?
1230
What is the common denominator of (-392)/(-2548) - (-1952)/(-858) and -52/153?
1683
Let t(u) = 240*u**2 + 8*u - 8. Let g be t(1). Suppose -g = -4*x - 128. Calculate the least common multiple of x and 4.
28
Let i = 28/3319 + -70849/10365237. Let q = 6962979195049183/68706 - 101344557897. Let z = i + q. Find the common denominator of z and 37/110.
110
Suppose -w = 5, 4*t + 5*w - 5 = -22. Suppose -2*n = t*j - 6*j - 72, -92 = -3*n + 2*j. What is the lowest common multiple of n and 8?
56
Let w = -479059/1496 + 206/187. Let c = 331 + w. What is the common denominator of (18/24 + -1)/((-7)/(-162)) and c?
56
Suppose -3*i + 4296 = a, 4*i - 5*a - 4265 = 1425. What is the least common multiple of 1170 and i?
12870
Let l = 27419 + -603267/22. Calculate the common denominator of l and 2/128*79/5.
3520
Let p be 6*3/(-63) + 1713074/(-224). Let h = p + 7643. What is the common denominator of h and -151/180?
720
Suppose 0 = 4*v - x - 1214, -10*v - 2*x - 903 = -13*v. Calculate the smallest common multiple of 5 and v.
305
Suppose -4*w - 1670 = -5*i + 1139, 2*i - 5*w - 1127 = 0. Calculate the lowest common multiple of 198 and i.
3366
Suppose 5376 = -12*a + 20*a. Suppose 4*k - 5*b = -865, -a = 3*k + 2*b + 2*b. What is the least common multiple of 33 and (-4)/6 - (k/15 + -4)?
198
Suppose -21*t + 1522 = 262. What is the least common multiple of 16/3 + t/(-45) and ((-7)/2)/(2/(-4))?
28
Suppose 3*y + 7*i - 4 = 8*i, -5*y = 5*i. Calculate the common denominator of (y/16)/((-8)/(-456)) and -115/14.
112
Suppose 62*g + 276242 = 378*g - 53978. Calculate the smallest common multiple of g and 495.
9405
Suppose 0 = -5*z, -3*z = 4*c - 181 - 503. Let x = 201 - c. Calculate the least common multiple of x and 80.
240
Suppose -31 = -4*w + b, 4*w + 16*b = 21*b + 11. What is the least common multiple of w and 3294?
3294
Find the common denominator of (-4)/(-6) - (-1354)/(-1320) and 54 + (-34)/11968*18152.
220
Suppose 0 = -3*o - 3*a + 23 + 67, 5*o + 3*a = 144. Calculate the common denominator of 97/24 and 2/(-12) - (1 - 168/o).
72
Suppose 0 = 5*r + 4*s + 3304, 5*r = 2*r + s - 1979. What is the common denominator of -43/8 and ((-5)/r)/((-5)/230)?
264
Let b be 4 + -335*6/(-15). Suppose 0 = 116*l - 117*l + b. Calculate the least common multiple of l and 15.
690
Suppose 18*r - 19*r - 5*d + 757 = 0, 0 = -3*r - 5*d + 2281. Calculate the least common multiple of 508 and r.
1524
Let w be (((-162)/1725)/2)/((-20)/(-450)). Let r = w - -12861/6785. Calculate the common denominator of -83/2 and r.
118
Suppose 4*i + 23 = 3*s, -2*i = -5*s + 47 - 18. Calculate the lowest common multiple of (21/(-14))/((10/(-8))/5) and (-64)/(-20) + (-1)/s.
6
Suppose o = 30*o + 29. Calculate the common denominator of ((24/(-20))/(o/(-15)))/(-7) and -13/31.
217
Suppose -249*c = -35*c - 2354. What is the lowest common multiple of 1431 and c?
15741
Let h be 316/8 + (-5)/10. Let z = h + -25. Calculate the lowest common multiple of (-4)/z - 128/(-7) and 4.
36
Let h = 187289/12 - 15618. Let x(t) = -2*t**3 - 7*t**2 - 7*t - 14. Let f be x(-8). What is the common denominator of h and 3*1 + (5 - f/108)?
36
Let t(i) = 2*i**2 + 2*i + 76. Let m be t(8). What is the common denominator of 1/34 and 40/m + 657/(-528)?
272
Suppose 3*m + 14*u - 44 = 19*u, 1 = -u. Let k(x) = -x**3 + 3*x**2 - 4*x + 2. Let c be k(3). Let j = c - -17. Calculate the smallest common multiple of m and j.
91
Suppose -3*v + 5*v = -q - 23, 3*q - v = -104. Le