Let r = -3768 - -3844. Calculate the least common multiple of 988 and r.
988
Suppose -3 = -11*o - 25. Find the common denominator of (o/80)/(3/((-1704)/20)) and -19/90.
900
Let t = 17236049/120 - 143635. Calculate the common denominator of t and ((-5976)/960)/((-99)/44).
120
Let h be 2/(185/280 - 6/16). Suppose -h*d = -23 - 40. Calculate the lowest common multiple of d and 124.
1116
Let q = 5733 - 51649/9. Let l = 1153537/30 + -38446. Find the common denominator of l and q.
90
Let v(d) = d**3 + 18*d**2 + 3*d + 59. Let t be v(-18). Suppose 4*h - 342 = 2*h - t*i, 0 = -h - 5*i + 181. Calculate the smallest common multiple of h and 5.
805
Suppose 0*v + 3*v = 24. What is the smallest common multiple of 21 - (-11)/((-66)/30) and v?
16
Let p(h) = -h**3 + 35*h**2 - 53*h - 105. What is the least common multiple of p(33) and 288?
2592
Let c = -2/3625 - -169/79750. Let f = 9407/2233 + c. Let p = -800 - -14419/18. What is the common denominator of p and f?
126
Suppose -12*y + 2090 = 17*y - 27*y. What is the least common multiple of 2185 and y?
24035
Let v(p) = -15 + 41 + 10*p + 36. Calculate the smallest common multiple of 8 and v(-5).
24
Find the common denominator of ((-66)/(-24) + -3)*-93 and -23/388.
388
Calculate the smallest common multiple of 327 - (4/10)/(29/(-435)) and 159.
17649
Let z(o) = 12*o**2 + 4*o - 12. Let s be z(13). Suppose -4*n = 7*n - s. Suppose -n = -6*l + 52. Calculate the least common multiple of l and 4.
40
Let y be (-84)/22 + 6/(-33) - -218. Suppose 27*g = y + 2. Calculate the least common multiple of 48 and g.
48
Let y = -34793 - -1530823/44. Find the common denominator of -23/220 and y.
220
Let a = 81 - 37. Suppose -2*x + a = 2*x. Suppose 4*l = 3*n + 5*l - 18, 3*l = 0. Calculate the least common multiple of n and x.
66
Suppose 2*i + 48 = 14*i. Suppose i*r = 10*r - 198. Calculate the lowest common multiple of 78 and r.
858
Let w be 14/(-77) + ((-130)/(-22))/5. Find the common denominator of (w - 67)*3/16 and 3/73.
584
Let b = 12579 + -3459254/275. Calculate the common denominator of -29/300 and b.
3300
Calculate the common denominator of (5415/(-22420))/(1662/20) and -21/10.
163430
Let k(z) = 763*z**3 - z**2 - 3*z - 7. Let f be k(-3). Let i = 41977/2 + f. Let a = 6053/16 - i. What is the common denominator of a and -3/4?
16
Suppose -2702 - 8158 = -20*f. Let u = f + -528. Calculate the least common multiple of 240 and u.
240
Let u = 1164997 - 4762507623/4088. What is the common denominator of -117/5840 and u?
40880
Let j be (-40)/16*(-12)/(-10365). Let l = j - -4168/7601. Calculate the common denominator of (-345)/(-24)*12/(-10) and l.
44
What is the common denominator of ((-7)/6 + 1)*(18 + (-1797)/96) and 145/36?
576
Let a = 23095 + -14040. Let p = -240699257/18 + 13363120. Let r = p + a. Find the common denominator of 43/2 and r.
18
Let i be (6/5)/((-1)/5). Let q be 3/(i/(-88)*2). Calculate the common denominator of 4/q + 1932/(-704) and -91/10.
80
Let q = -2/999 + -84907/3996. Let l = 10679/1672 + -5/418. What is the common denominator of q and l?
8
Suppose 5*s + s + 120 = 0. Find the common denominator of (-4)/10 - (3/s + -5) and -1 - ((-2 - (-105)/24) + -3).
8
Suppose -53*p = -31*p - 484. Suppose 12*g = p + 122. Calculate the least common multiple of 36 and g.
36
Let z = 364 - 211. Suppose -13*o = -3 - z. What is the smallest common multiple of o and 63?
252
Let n = 17/659 + 67367/19770. Let b = 31/714 - 19177/1785. Find the common denominator of n and b.
30
Find the common denominator of 121/238 and (((-2)/12)/1)/(7*14/(-11025)).
476
Let r be (-953600284)/(-147747816) - 1 - 5. Let w = r - -2/362127. Calculate the common denominator of w and -5/12.
612
Let w = 3/67355 - -4779103/69645070. Calculate the common denominator of 53/564 and w.
6204
Suppose 2*b = -3*b + 25. Suppose b*k = -3*k + 64. Calculate the smallest common multiple of -8 + 228/k - (-2)/(-4) and 4.
20
Let o(t) = t**3 + 3*t**2 + 4*t - 7. Let v be o(-5). Let p = 121 + v. What is the least common multiple of 28 and p?
308
Suppose -2*j + l = -99, 5*j + 3*l + 17 = 292. What is the least common multiple of 122 and j?
3172
Let w be ((-708)/3)/(3/(-60)). Let y = -42542/9 + w. Calculate the common denominator of y and (-6)/5*(-40)/(-10).
45
Calculate the common denominator of 53/705 and 20643/1880 + (4 - 14 - 1).
5640
Suppose 4*l - 418 = 2*k, -5*l + 233 + 297 = 5*k. Suppose -z - l = 5*u + 2*z, -z = 0. What is the common denominator of 510/(-4)*(91/u + 4) and 43/8?
8
Let a(n) = -n**2 - 29*n - 12. Let m be a(-27). Suppose 63 = 3*t - m. Calculate the lowest common multiple of 30 and t.
210
What is the common denominator of -113/644 and (-1763)/(-129)*((-4825)/1610 - 1 - -4)?
1932
Suppose -a + 117 = m, 4*m + 316 = 304. Calculate the least common multiple of 384 and a.
1920
Let o be (-2)/(-7) - 674/(-42). Let l = -244421639/120 - -2036861. Let h = l - o. Calculate the common denominator of h and 127/24.
120
What is the lowest common multiple of 2/3 + 0 + (9 - 884/102) and -3*((-1)/1 + -61)?
186
Let p = 1640988311/1342 + -1222793. Find the common denominator of 9/1586 and p.
17446
Let k = 474 - 5227/11. Let y be 1 + 4/(-12248)*(-1198797)/18. Let p = 2/4593 - y. What is the common denominator of p and k?
44
Let x be (-6)/5 + (-68)/85. Let i = 1655 - 8331/5. What is the common denominator of i and (-3)/(-4) + (x - 1396/(-144))?
45
What is the common denominator of 7/22 and (-63)/264*(-4)/(-46)?
1012
Let d be (-1)/((-10850)/(-24) - (1 + -5)). Let h = d - 683909/98514. Find the common denominator of h and 115/18.
18
Suppose -14*x + 10*x + o = -1007, 0 = -x - 2*o + 254. What is the lowest common multiple of x and 252?
252
Suppose 102*o - 18*o = 5040. Calculate the least common multiple of 42 and o.
420
What is the lowest common multiple of 781 and 2/9 + (-3720)/(-27) + 4?
1562
Let g(a) = a**3 + 37*a**2 - 71*a + 27. What is the smallest common multiple of 28 and g(-38)?
5124
Suppose 3*k + 20 = -k, -2*p - 4*k + 216 = 0. Suppose -108 = u - t, -5*t + 28 = u + p. Calculate the common denominator of ((-3)/(-2))/(u/505) and 109/20.
140
Let c(f) = -14*f**2 + 2. Let m be c(-1). Let a be -2*m/(-8) - -14. Find the common denominator of -47/12 and (-2)/a - ((-1365)/(-297) - 4).
36
Suppose -3*k = c - 30, -2*c - k + 65 = 15. Suppose 2360 = 105*o - 1000. What is the least common multiple of c and o?
96
Let s(r) = r**3 + 2*r**2 - 2*r + 1. Let y be s(-3). Let a(l) = -3*l**2 - 2*l. Let q be a(y). Find the common denominator of ((-414)/q)/(-3) - -1 and 97/10.
20
Let d(a) = 13*a - 151. Let n be d(15). What is the common denominator of ((-7)/2)/(1210/n) and 19/35?
385
Let u be 1440/9 - 4/(-2). Let b be (u/(-15))/(3 + (-62)/20). Calculate the common denominator of (2*-1)/(b/(-261)) and -25/11.
66
Let r be (-29)/174 - ((-62978)/177885)/(-1). Let l = r - 6/3953. What is the common denominator of 74/99 and l?
990
Let o = -5/485019 - -640843/13472750. What is the common denominator of o and 187/1050?
15750
Suppose -4*u = 2*o - 2, 0 = -3*u - 2*u. Suppose o + 9 = 10*i. Calculate the lowest common multiple of 12 - 1*(1 + i) and 10.
10
Suppose 13*j + 2388 = -279*j + 12024. Calculate the smallest common multiple of 1782 and j.
1782
Suppose -11*i + 3469 - 829 = 0. Calculate the lowest common multiple of 30 and i.
240
Suppose 0 = -3*r - 2*a + 239, 7*a - 5*a + 166 = 2*r. Calculate the least common multiple of r and 282.
7614
Calculate the common denominator of ((-208)/(-78))/(1/(-3)) - 188/(-40) and 1 - ((-127)/(-42) - -2).
210
Let s = -2117 + 2527. What is the lowest common multiple of 40 and s?
1640
Let s = 6760 - 32443. Let m = -924713/36 - s. What is the common denominator of 83/12 and m?
36
Let g(w) = -2*w**2 - 14*w + 19. Suppose -4*o = -o - 12, -x = 2*o. Let c be g(x). What is the common denominator of 25 and -43*(12/8)/(3*c)?
6
Let r = -1389/20 - -908/15. Suppose -m + 1 + 8 = 0. Find the common denominator of (-45)/m - (-2)/(-32) and r.
48
Let b(c) = -1254*c + 17592. What is the smallest common multiple of 6144 and b(14)?
18432
Suppose 0 = 5*w - 4*i - 92, -2*i + 90 = 5*w - 7*i. Let j(k) = -594*k - 1088. What is the smallest common multiple of j(-2) and w?
100
Let n = 380/289 + 3853/5202. Let h be ((-1)/(-5))/(3/6621). Let y = 40421/90 - h. Calculate the common denominator of n and y.
18
Let r = 2423 - 