
Let a = 6924 - 124663/18. Let p be ((-36382)/10)/((-8)/10). Let j = p - 4571. What is the common denominator of a and j?
36
Let w(i) = -3*i - 13. Suppose -78*d + 75*d - 12 = 0. Let a be w(d). Calculate the least common multiple of (0 - 4/1)*a and 3.
12
Let u(k) = k**2 - 4*k - 33. Let r(d) = -5*d**3 - d**2 + d. Let f be r(1). Calculate the lowest common multiple of u(f) and 14 - (-3 - -1)*1.
48
Suppose -30*o = 21*o - 0*o - 4896. Calculate the least common multiple of 384 and o.
384
Let c(y) be the first derivative of -y**4/4 - y**2/2 - 38*y + 24. Let t be c(0). Calculate the common denominator of -99/2 and (t/(-665))/((-1)/(-3)).
70
Suppose -5*i - 5*g = -245, i - 3*g + 31 = 92. Suppose 0 = 194*o - 34*o - 800. What is the lowest common multiple of o and i?
260
Find the common denominator of -26/25 and (-2*(-830)/(-400))/(-103).
10300
Let i = -2017307/72 - -28020. Find the common denominator of -59/732 and i.
4392
Find the common denominator of -22/7 and (-5)/(3885/261) - (-4 - (-78)/21).
259
Let i = -22092 - -22168. Calculate the least common multiple of 722 and i.
1444
Calculate the common denominator of 12430/(-3960)*(-3)/(-244) and 19/80.
14640
Suppose -4*h + 882 + 302 = 5*v, 3*v - 24 = 0. What is the least common multiple of 1430 and h?
1430
Let m = -126818183189 + 13252373324277781/104499. Let f = m + -2/11611. Let v = -3/23665 + 686312/212985. What is the common denominator of f and v?
9
Suppose 0 = -4*d + 8*d - 88. Let r be (-458)/d*(-5 - 70/(-16)). Let b = r + -131/8. Calculate the common denominator of -35/27 and b.
297
Let p(j) = -41*j - 266. Calculate the lowest common multiple of p(-10) and 108.
432
Let z = -14018/189 - -1035/14. What is the common denominator of z and -1/12?
108
Let c be (-299391)/60720 + 2/(-11). Let q = c - -71/20. Find the common denominator of q and 77/36.
144
Let o = -12 - -10. Let q = 199/4 - 233/4. Calculate the common denominator of q and (26/20)/(1 + o).
10
Let a(b) = -b**2 + 25 + 30 - 79 + 28 + 16*b. Calculate the least common multiple of 36 and a(14).
288
Suppose -8*r + 5*h = -50, 0 = 5*r + h + 2*h - 68. Calculate the least common multiple of 1390 and r.
1390
Let p be 1*(52 + 3/(-1)). Suppose 50*j = p*j + 6. What is the lowest common multiple of 45 and j?
90
Suppose 5*t - 7 = -22. Let u(m) = -m**2 - 6*m - 9. Let y be u(t). Calculate the least common multiple of (y - -17) + (-5 - -3 - -6) and 21.
21
Let c = -112022/67 + 1672. Let x = c - -794/335. Find the common denominator of -79/6 and x.
30
Let h = -5 - -8. Suppose 0 = -q + 3*f + 12 - 3, -3*q + 5*f + 19 = 0. What is the lowest common multiple of h and q?
3
Let u = 4066 + -48835/12. Suppose 2*y + 487 = 3*m, 3*m - 294 = -5*y + 221. Let n = 411/2 - m. Calculate the common denominator of n and u.
12
Let l = -324/81789685 + 6153952136893/3647165633520. Let u = l + 1/5574. Calculate the common denominator of u and (2704/144 + -11)/(-1 + -3).
144
Let o = 2736347/2898 - 21730/23. What is the common denominator of -5*2/((-216)/(-38)) and o?
378
Let r = 4665 + -930. Calculate the common denominator of (-20)/66*r/332 and 63/118.
1298
Calculate the common denominator of 13*-2*((-13205)/(-1520) + (0 - 9)) and (122/(-25) - -2)/2.
200
Let d(i) = -2*i**2 - 26*i + 10. Let h be d(-15). What is the smallest common multiple of 16 and (-12)/(-10)*h/20 + 33?
240
Suppose 69*s - 283960 = -55*s. What is the smallest common multiple of 458 and s?
2290
Let v = 2387 + -2366. What is the least common multiple of 777 and v?
777
Suppose 5*j - 21 + 6 = 0. Suppose 0*o + 3*m = -4*o - 3949, -3*o = m + 2968. Let d = o + 994. Calculate the lowest common multiple of j and d.
3
Let v be (-3269)/157 + 1/4. Let o = -28/157 + v. Calculate the common denominator of o and 205/4715 - (-1627)/138.
12
Calculate the common denominator of -85/16 and (-381)/(-341) + -3 + (-155)/(-55).
496
Let b = 2762 + -2757. Calculate the least common multiple of b and 1780.
1780
What is the common denominator of 5/(-231)*(-1430)/110 and 83/210?
2310
Let i = -887/12 + 135/2. What is the common denominator of -23/18 and i?
36
Let a = 14447107/88140 - 18496/113. Find the common denominator of -83/408 and a.
26520
Let n = -9940 + 10098. What is the least common multiple of 632 and n?
632
Suppose 8*j = -y + 10*j - 13, j = -3*y - 18. Calculate the common denominator of (1300/110)/(y + 1) and -73/180.
1980
Let o be 60/160 + 506/16. Suppose -22*r + 20*r = -o. Calculate the least common multiple of 24 and r.
48
Suppose f = 2*r - 171, f + 178 = -r - 4*r. Let c = -98 - f. What is the least common multiple of c and 21?
525
Let y = 290 + -284. Calculate the least common multiple of (-3 + 21/y)*720/15 and 45.
360
Let i(s) = 3*s**2 - 4*s - 11. Let x be i(-3). What is the common denominator of 47/24 and x/(-4) + 1948/336?
168
Suppose 0 = -7*o - 24 - 4. What is the common denominator of (o*(-22)/(-100))/((-32)/140) and -103/20?
20
Suppose -2*r - 4 = 0, 7*t - 6*t - 4*r - 8 = 0. Suppose -2*h + 4*h - 268 = t. Calculate the least common multiple of 16 and h.
1072
Suppose -3*j = -3*s + 15, -3*j - 1 - 8 = 0. Suppose 0 = 2*x - s*g - 26, -4*g + 45 = 5*x - 5*g. What is the common denominator of 7/x*45/30 and -51/2?
16
Suppose 3*s + 17*s = -94760. Let v = s + 369665/78. What is the common denominator of v and -55/3?
78
Find the common denominator of 202/6464 + 13138/(-379456) and 39/3773.
41503
Suppose 37*u - 519 - 19 - 202 = 0. Let j(k) = k**2 + k + 50. Let g be j(0). Calculate the lowest common multiple of 4 and ((-40)/g)/(1 - 22/u).
8
Suppose -5*g - 3*f = -707, 570 = 4*g - 33*f + 31*f. Suppose g*o = 146*o - 128. What is the smallest common multiple of 4 and o?
32
Let h = -18498745819/7539 + 2453740. What is the common denominator of h and 59/6?
15078
Let n(v) = -v**3 + 9*v**2 + v - 16. Let b be n(7). Find the common denominator of (9*7)/(15/(-10)) and b/178 - 76/18.
18
Let a = -188 - -182. Calculate the common denominator of (a/22)/(4/(-26)) and 63/16.
176
Let z = -186380813/1361652510 - 1/965711. What is the common denominator of -103/12 and z?
2820
Suppose -3*j + 5*j - 2 = 0. Let f(o) = o**2 + 28*o + 20. Let p be f(-10). Let v = p - -169. What is the smallest common multiple of j and v?
9
Suppose 2*b - 15 = -3*b, b = -2*r + 53. Calculate the least common multiple of 91/2 - (-9)/(-18) and r.
225
Let f = -215 + 220. Suppose 0 = 5*q - i - 75, f*q - 8*i - 105 = -13*i. What is the lowest common multiple of 798 and q?
6384
Let n(p) = -3*p - p**2 + 20*p + 0*p + 12. Calculate the least common multiple of 7 and n(16).
28
Let u(f) = -f**2 + 6*f - 2. Let x be u(5). Suppose 5*q + 56 = 3*k + 352, x*k + q = -272. Let n = k - -98. What is the lowest common multiple of 4 and n?
12
Let z(p) = -p**2 + 7*p + 16*p + 2*p**2 - 4*p**2 + 5*p**2 - 43. Calculate the smallest common multiple of z(-15) and 2.
62
Suppose 6*w = -741 + 861. Let o = 20 + -11. Let y(s) = 2*s**2 - 13*s + 3. What is the lowest common multiple of w and y(o)?
240
Let p be 1/(-3) + 25428/(-18). Let v = -18278107/13124 - 86/3281. Let u = p - v. Find the common denominator of u and -7/36.
36
Suppose -3*g + r + 57 = 0, 3*g - g - 27 = -3*r. Let u = 178 + -130. Suppose 46*t = 44*t + u. Calculate the least common multiple of g and t.
72
Let x = 35 + -33. Suppose 3*c - 2*s - 97 = 0, x*c + 4*s - 64 = 5*s. Suppose -55 = -3*d - c. What is the least common multiple of 16 and d?
16
Let m(f) = 439*f + f**2 - 3*f**2 - 435*f + 9. Let p be m(-5). Let c = p - -101. What is the least common multiple of 6 and c?
120
Let v(k) = k**3 + 39*k**2 + 36*k - 73. Let x be v(-38). What is the smallest common multiple of 12 - (-54)/81*x/(-2) and 138?
1518
Let b = -241453/5110 - -1678/35. Let i be (-2)/(-5) - 144/10. What is the common denominator of b and 2 + -2 + (-33)/i?
1022
Let z(l) = -l**3 + 23*l**2 - 22*l + 15. Let b be z(22). Let y(i) = 19*i**2 + 3 - 19 - 8*i - b*i**2. What is the least common multiple of 16 and y(-6)?
176
Let j = -2577863 + 12301562287/4772. Find the common denominator of j and 11/18.
42948
Let a be 1834696/120 + 1 + -2. Let n = a + -15282. Find the common denominator of n and (18/105)/(((-192)/(-150))/16).
105
Let z = 172/39 + -35/117. Suppose -36*u - 6237 = -57*u. Calculate the common denominator of z and (539/u)/(2/(-6)).
9
What is the smallest common multiple of (-18080)/(-1356) + 4/6 a