 = -129356862731/13201970 - -8/1320197. Let o = -9808 - p. Calculate the common denominator of o and -37/27.
270
Suppose 0*b - 4*b = 1440. Let v = 319 + -316. Find the common denominator of -23/6 and 4 + 3021/b + v/5.
24
Let u = -4/1173 - 5609/75072. Calculate the common denominator of u and 61/280.
2240
Let p be ((-6)/(-7))/((-57)/(-532)). Suppose p*y = 266 - 74. What is the lowest common multiple of y and 36?
72
Suppose -3*v - 5*o + 142 = 0, 43*v = 48*v - 4*o - 249. What is the lowest common multiple of v and 91?
637
Calculate the common denominator of (12/(-1227))/(24/(-12356)) + -8 + 3 and -9/4.
4908
Let i be ((-12)/10 - -2)/((-2)/(-5)). Let y be 5*i/55 + 4/(-22). Suppose y = 7*j - 4*j - 9. What is the lowest common multiple of j and 10?
30
Let z = -221/7 + 2323/84. Let n = -55 + 141. Find the common denominator of (n/(-40))/(12/32) and z.
60
Let n be -2 - (-50)/30 - (-74)/6. Let j(t) = -t**2 + 15*t - 24. Calculate the lowest common multiple of 8 and j(n).
24
Let r = -1057/171 + -34/57. Find the common denominator of -43/45 and r.
45
Calculate the least common multiple of (4/6 - 0)*54 and ((-18)/(-14))/((-219)/(-19929)).
468
Let w = 5/448 - 6949/448. What is the common denominator of w and -31/1272?
1272
Let g = 71649 - 3439031/48. Let s = 993/2 + -32929/66. Find the common denominator of g and s.
528
Suppose 126*n = 135*n - 891. What is the common denominator of -119/6 and (37/(-3))/((-8976)/n)?
816
Let i(u) = 11*u**2 + 2*u - 8. Let z be i(2). Suppose 10*g = 150 - z. Calculate the lowest common multiple of g and (-41)/(-5) - (-2)/(-10).
88
Let r = -6716 - -6729. Let j(h) = h**2 + 8. What is the smallest common multiple of j(0) and r?
104
Let j(i) = -28*i**3 - i**2 - i + 39. Let m be j(-6). Let t = -121179/20 + m. What is the common denominator of t and 67/212?
1060
Let g = -3/2318 + 18697/118218. Calculate the common denominator of 5/204 and g.
204
Let n(o) = 11*o**2 + 4*o - 2. Let t be n(1). Suppose 0 = -t*d + 22*d - 36. Calculate the least common multiple of 2/(-14) - (-1 - 43/7) and d.
28
Suppose 41*n + 3768 = 4383. Calculate the least common multiple of n and 1180.
3540
Calculate the lowest common multiple of 24306/54 - 12*(-18)/(-1944) and 360.
1800
Suppose 636*i + 589*i - 1170*i - 4455 = 0. Let f = 33 + 57. Calculate the smallest common multiple of f and i.
810
Let a be 8/(240/(-10)) - (-266)/6. Suppose -5*k + 3*k = 5*v - a, 66 = 3*k - v. Calculate the smallest common multiple of k and 282.
3102
Let p = 20 + -11. Suppose 0 = -0*c + 11*c + 22. Calculate the least common multiple of p and (-10)/4 - c - (-95)/2.
423
Let n be ((-3204)/(-45))/((-4)/10). Calculate the common denominator of -15/4 and 90/(-36)*n/830.
332
Let d be 207/(-6) - 9/(-6). Let c = d - -49. Calculate the smallest common multiple of (-16)/(-12)*15 - 1*4 and c.
16
Let x = -25371 + 25464. What is the smallest common multiple of x and -1 - -14 - (1 + 2)?
930
Let u(i) = i**2 + 2*i - 6. Let h be u(-4). Find the common denominator of (h/((-4)/(-5)))/((-48)/33) and 423/48 - (9 - 5).
32
Let f = -13/8558 - -621547/718872. What is the common denominator of (27/(-36))/(18/340) and f?
168
Let z = 2/51157 + -2609011/102314. Calculate the common denominator of 246/44 + 0 + -1 and z.
22
Let y = 15492 + -15116. Calculate the smallest common multiple of 16 and y.
752
What is the common denominator of -17*2/(-45)*3 and (-1 + 5)*((-18582)/3423)/(6/(-1))?
105
Suppose -3*v - 2*r - 179 = 0, -3*r + 8 = r. Let p = v + 43. Let u = p - -45. Calculate the lowest common multiple of u and 33.
297
Let c be (-1)/(-4) + 81/12. Suppose 0 = -b - 2*v + 11, c = 5*b - 2*v - 0*v. Find the common denominator of (b + 23)*(-34)/96 + 4 and -5/24.
24
Suppose 4*f = 28 - 24. Let m be 16*f/(-6)*3. Let k = m + 11. What is the lowest common multiple of k and 12?
12
Let x = 58 + -38. Suppose 5*m + h = 139, -63 = -3*m - h + x. What is the smallest common multiple of m and -3 + (-6)/((-36)/66)?
56
Let g be (2 - 30/9)/((-4)/(-6)). Let x(d) = 8*d**2 - 2*d - 3. What is the smallest common multiple of 21 and x(g)?
231
Let d = -93 - -99. What is the least common multiple of (-8)/d*1305/(-60) and 1?
29
Calculate the lowest common multiple of 4796 and (-16)/(0 + -8)*2 - 3.
4796
Let t = -118 - -126. Suppose -4*q = -t*q + l + 364, 2*l = 5*q - 458. What is the smallest common multiple of q and 60?
180
Let f = -2494763/56 + 44548. Find the common denominator of 63/80 and f.
560
Let s be 6/(-9)*(-36)/(2 - 5). Let l be 4/s + 34/(-4). Find the common denominator of l + 6 + -103*(-1)/20 and 101/20.
20
Let n = 138001/20 + -6897. Suppose 0 = a - 0*a + 2. Find the common denominator of n and (-393)/(-36) + a*1.
60
Let j = -59749699/1032 - -57897. What is the common denominator of j and -67/129?
1032
Let i = -3102 + 1008. Let l be (-15)/i*(-20)/(-50). Let h = l + 3487/1047. Calculate the common denominator of h and -28/9.
9
Suppose -6*m + 7 = m. Suppose -5*y - 5*z = -19 - m, 0 = -4*y + z + 1. Let r = -7 - -21. Calculate the least common multiple of r and y.
14
Let a = -54015707/292 - -184985. Calculate the common denominator of a and 1/18.
2628
Let j = 2794789/60 - 46582. What is the common denominator of j and -61/273?
5460
Let p(v) = v**3 + 43*v**2 - 50*v - 1016. What is the lowest common multiple of 35 and p(-43)?
5670
Find the common denominator of (48/10)/((-28821)/(-390)) and (11/(-44))/((18/177)/(-3)).
5912
Let k be ((-6)/15)/(-2) + (-336583)/(-910). Let g = k - 2244/7. Calculate the common denominator of 43/30 and g.
30
Let g be (5/40 + (-18)/16)*-27. Calculate the lowest common multiple of 203 and (((-4)/(-10))/(g/945))/2.
203
What is the common denominator of -103/364 and ((10/(-7))/(3276/(-1519)))/(42/6)?
3276
Suppose -7165*f = -7157*f - 256. Find the common denominator of (-4)/21*(-812)/(-24) and f.
9
Find the common denominator of (-2459)/4536 + (80 + -92)*(-3)/63 and -19/159.
34344
Let l(q) = -q**2 - 8*q + 10. Let a(x) = -8*x**2 - 241*x - 21. Calculate the least common multiple of l(-8) and a(-30).
90
Let x = -33 - -37. Let a(l) = 5 - x - 5*l + 2. What is the lowest common multiple of 10 and a(0)?
30
What is the smallest common multiple of 484 and ((-242)/4)/(17/(4352/(-16)))?
968
Let y be ((-38)/(-8))/(-5*6/(-1080)). Let j = 175 - y. What is the lowest common multiple of j and 154?
308
Let f = -119/3 + 311777/7860. Let h = -8115597801/655 + 12390228. Let s = f - h. Calculate the common denominator of s and 85/66.
660
Suppose 5*n = 3*n - 2*c + 18, -n = 3*c - 17. Let q(w) = -2*w**2 - w + 60. Calculate the least common multiple of 20 and q(n).
20
Let m(c) = c**3 - 6*c**2 - 11*c - 16. Let k be m(8). Suppose -2*v + k = 298. Calculate the smallest common multiple of 5 and v/(-9) + (-2)/9.
15
Let t be (-92)/(-3*4/30). Let m = -20243/2 + 10120. Find the common denominator of m and (t/(-8))/(27/(-6)).
18
Suppose 0*m - 6 = -3*m. Calculate the smallest common multiple of m/(-21) - 5680/(-105) and 12.
108
Let t(o) = 3*o**3 - 4*o**2 + 3*o + 3. Suppose -21*r + 9*r = -36. What is the smallest common multiple of r and t(3)?
57
Let z = -9675 + 590188/61. Calculate the common denominator of 12*((-445)/110 + 1 - -3) and z.
671
Let s(t) = 53*t**3 - 6*t - 5. Let o be s(-1). Find the common denominator of -88/15 and 21/(-105)*o/(-6).
15
Let s be ((-224935)/(-12))/((-12)/(192/44)). Let m = 6815 + s. Find the common denominator of 19/201 and m.
2211
Let d(x) = 74*x - 642. What is the smallest common multiple of d(9) and 2?
24
What is the lowest common multiple of 60 and 39/((-3)/54*-9)?
780
Suppose m = -2*h + 40 - 3, -5*h + 55 = -5*m. Calculate the least common multiple of 7572 and h.
30288
Let q = -53/10 + 3447/650. Let p = q - -5517/2600. Find the common denominator of p and 43.
8
Let p(u) = u**3 - 8*u**2 + 66*u - 195. What is the least common multiple of p(5) and 798?
7980
Suppose 0 = 21*z - 11035 - 1775. Calculate the least common multiple of z and 1464.
7320
What is the common denominator of (-14)/(-56) + (-3)/((-1908)/(-177)) and 69/(-36) - 0/2?
636
Let b(o) = -11*o**2 - 8*o + 27. Let h be b(28). Let u = h - -176307/20. Find the common denominator of u and 9/2.
20
Let w = -9895 + 19863. Calculate the smallest common multiple of 10 and w.
49840
Let i be (66/198)/((-16)/107742). Let f = 2251 + i. Find the common denominator of f and 77