Let c be ((-142)/5)/((-2)/(-10)). Find the common denominator of -109/80 and (6 - c/(-24))/(a/57).
80
Let m = -7535 + 7559. Let s = 20 + -8. Calculate the least common multiple of m and s.
24
Let w = 20975 + -838883/40. Calculate the common denominator of -77/1580 and w.
3160
Find the common denominator of -4/91 and (-9)/5 + (-640)/(-1120).
455
Let g = -279505/229026 + -174/2009. Calculate the common denominator of g and 75/8.
456
Let c = -13863 + 14543. What is the lowest common multiple of 64 and c?
5440
Suppose 2*f + 16 + 32 = 0. Let g = 47 + f. Let v = 24 - g. Calculate the smallest common multiple of 7 and v.
7
Let j = -7357/495 + 133/9. What is the common denominator of 103/600 and j?
6600
Let m be (-6)/21 + (-24362)/(-7). Let x = -34861/10 + m. What is the common denominator of x and 65/18?
90
Let t = 733/757 + -1400477/1503402. Find the common denominator of -67/662 and t.
1986
Let r be ((-21)/(-14))/((-2)/(-4)). Suppose r*q - 18982 = -2533. Let x = q + -323447/59. What is the common denominator of x and 49/10?
590
Let i(p) = -22*p - 126. Let g be -7 - (-369)/(-72) - (-1)/8. What is the least common multiple of 10 and i(g)?
690
Let j = -5/3312 + 82273/16560. Find the common denominator of (-815)/60 + 5 - -1 and j.
60
Let y(b) = 8*b - 116. Calculate the lowest common multiple of y(20) and 344.
3784
Let h be ((-1)/7)/(4254/(-4)). Let v be ((-4332509)/(-14) - 1)*357/38726289. Let g = h + v. Find the common denominator of g and 103/6.
102
Let l(f) = 19*f + 6. Suppose -4*i + o - 4 = -9*i, 3*i = 5*o - 20. Calculate the lowest common multiple of l(i) and 21.
42
Calculate the common denominator of 55/3563 and -10 + 4 + (-128702)/21378*-1.
10689
Let y = -3/239 - 803/12189. Let m(d) = 9*d**2 - 5*d + 7. Let u be m(5). Find the common denominator of y and (-37)/222*u/2.
204
Suppose -4*d + 1703 = -957. Find the common denominator of (-3)/9*d/100 and 23/20.
60
Calculate the common denominator of 77/1380 and 20/(-70) + 31/35 - (-3871)/(-1470).
1380
Let r be -2 + (-1 - -1)/2. Find the common denominator of r - ((-252)/(-8) - -1) and 1 + 1 + (105/(-6) - 0).
2
Suppose 245*n + 1825 = 250*n. Calculate the lowest common multiple of 80 and n.
5840
What is the least common multiple of 120 and (-109464)/(-42) + 1616/(-707)?
26040
Let z = 23 + -8. Let l = -6424 - -6454. What is the least common multiple of z and l?
30
Let h be (-12)/(-7) + (-11)/(539/(-14)). Calculate the common denominator of 0 + (h - (2 - (-242)/12)) and 0/3 + (-186)/(-28).
42
Let m be 9 + -2 - (-76644)/(-11034). Let p = m - -56547/8582. What is the common denominator of p and -4/63?
126
Let y(d) = -d**3 + 49*d**2 - 130*d - 260. What is the smallest common multiple of 87 and y(46)?
3132
Let r be 2/(-8)*5*(-14926)/4. Let i = 4652 - r. What is the common denominator of -27/100 and i?
200
Let c = -18 + 30. Suppose 0 = -c*a + 15*a + 15. Calculate the common denominator of a/30 + (-197)/(-66) and 53/5.
55
What is the common denominator of -28/2799 and 46/15 + 176/(-66) - (-557)/270?
16794
Let k(q) = q**2 + 130*q + 3971. Calculate the lowest common multiple of 243 and k(-49).
486
Let l = -346/281 + 551323/436112. Calculate the common denominator of -89/80 and l.
7760
Let s = -16/32339 + 274849289/258712. Let d = s - 16905/16. Calculate the common denominator of 55/2 and d.
16
Suppose -16 = -2*u + 3*z, -17*u = -15*u + 5*z. Calculate the common denominator of ((-146)/u)/((-15)/((-375)/20)) and -121/50.
50
Suppose -10*k + 12*k - 56 = 4*z, -144 = -6*k + 4*z. Calculate the lowest common multiple of 3840 and k.
42240
Let d = -404997289/2700 + 149999. What is the common denominator of -113/30 and d?
2700
Let l = -15657/2156 + 13/1078. Suppose 0 = -3*s + 5*x - 2*x - 42, x - 24 = 2*s. Calculate the common denominator of l and s.
4
Let d(t) = 2*t**2 + 12*t + 17. Let u be d(-10). Calculate the least common multiple of 1*u + 70/(-14) and 10.
460
What is the lowest common multiple of (-4626)/(-33) - 3/((-111)/(-6) - 2) and 315?
1260
Let g = 3717 - 3715. What is the smallest common multiple of g and 69?
138
Let a = 6525/11 - 555021/935. Find the common denominator of 31/646 and a.
3230
Let y(g) = 16*g**2 - g. Let m(o) = -2*o**3 - 36*o**2 - 38*o - 44. What is the least common multiple of y(-2) and m(-17)?
264
Let x = -70/9 - -2/3. What is the common denominator of -4 + 0 - (-518)/108 and x?
54
Calculate the smallest common multiple of 5292 and (88/16 - 6)/(4 - (-98)/(-24)).
5292
Suppose 14*k = 15*k + 47*k - 54528. What is the lowest common multiple of k and 3?
3408
Let k be 0 + 0 + (-17966)/(-12). Let l = 1501 - k. What is the common denominator of l and ((-2)/20)/(17792/2960 + -6)?
12
Let n(d) = -2*d - 10. Let t be n(-5). Let c = -14 - t. What is the smallest common multiple of 8 and 15 + c - -13*1?
56
Let o = 11243/26280 - 13/584. Calculate the common denominator of 49/330 and o.
1980
Calculate the common denominator of -59/2722 and (-97578)/30294 - (-2)/51.
29942
Calculate the common denominator of 7/104 and (-6*2926/(-12870))/(16/10).
312
Suppose -289 - 437 = -726*z. Calculate the least common multiple of 236 and z.
236
Suppose 10*a - 810 = a. Suppose -5*u - g = 4*g - a, 2*u = -g + 34. Let m(b) = 2*b**3 - b**2 + 2*b - 18. Calculate the smallest common multiple of u and m(4).
816
Let j(o) = 48. Let w(d) = d + 52. Let c(y) = -5*j(y) + 4*w(y). Calculate the smallest common multiple of 33 and c(11).
132
Let o = -58608613/638 + 91863. Find the common denominator of o and 83/88.
2552
Let k = 4 + -31. Let g be k*(1416/(-9) - 2). Let h = g - 51659/12. Calculate the common denominator of h and 38/11.
132
Let u = 6011 + -180347/30. Suppose -2*n = i - 7*n + 35, 2*i + 140 = -4*n. What is the common denominator of u and i/(-216) + (2 - 0)?
90
Let f = -135 - -135. Suppose f*x + 5*x - 2*z = 22, -4*x - 4*z + 40 = 0. Suppose 65*o + x = 66*o. What is the least common multiple of 11 and o?
66
Let u = -164 + 419. Suppose 2*f + 4*c + 174 = 0, -u = -3*f + 6*f + 4*c. What is the common denominator of 48/5 and 18/f + 374/63?
35
Let r = 85384 - 6148991/72. Let b = r - 1/72. Let y = 5853 + -245851/42. Calculate the common denominator of y and b.
42
Let i be ((-5)/(-2))/(56/3472). What is the common denominator of 146/i - (8 - 156/20) and -51/11?
341
Suppose -21 = -6*m + 47 + 28. Calculate the smallest common multiple of m and 774.
6192
Let q be ((8572 + 3)/5 - -4) + 1. Find the common denominator of 12/q - (-2)/10 and -105/22.
4730
Suppose -4*r = -0*r - 420. Let d = -4976 - -5042. Calculate the lowest common multiple of d and r.
2310
Calculate the smallest common multiple of (805/(-483))/(1/(-45)) and 1071.
26775
Suppose 20 = 3*z + 8. Suppose 2*c = z*r - 0 - 10, -2*c + 6 = 0. What is the lowest common multiple of r and 92?
92
Let y(b) = -b**2 - 9*b + 6. Suppose o + 0 = -10. Let z be y(o). Calculate the common denominator of -11 and ((-150)/9 - z)/((-8)/(-30)).
2
Suppose -13*r + 4196 + 6191 = 0. Suppose -9 = -800*l + r*l. What is the lowest common multiple of l and 6*1*14/4?
63
Let d = 1085 - 1070. Calculate the least common multiple of d and 342.
1710
Let c be 6*(-3 - ((-135)/6)/5). Suppose -3*b - c = -15. Suppose -w - b*m + 37 = -6*m, 3*m + 36 = w. Calculate the smallest common multiple of 12 and w.
132
Suppose -n = -0*n - 5. Suppose -q = -4*v + 10, 4*v - 10 = 2*v - 2*q. Suppose v*o + 17 = -k - 2*o, -k = 2*o + n. What is the lowest common multiple of k and 5?
15
Let m = -3/9373 + -1134097/112476. What is the common denominator of ((-3)/72)/((-3)/(-94)) and m?
36
Suppose -7*g = 67 + 255. Let j = g + 31. What is the common denominator of -1 - 25/j - 82/(-12) and -81/10?
10
Let k = -74486 - -124236. Let s be (-4)/14*(-175506730)/1008. Let h = k - s. Calculate the common denominator of -69/4 and h.
36
Suppose -5*x = -3*b - 431, 5*b - 160 = -13*x + 11*x. Calculate the least common multiple of 0 - 2/2*-5 and x.
85
Let t = 8710 + -8674. What is the smallest common multiple of 459 and t?
1836
Let y = 36091171/11 - 1765407833/528. Let w = -62563 - y. What is the common denominator of 29/4 and w?
48
Calculate the common denominator of 49/30 + -4*20/240 and -89/44.
220
Let v(m) = -2*m**2 + 2*m + 4. Let a be v(-5). Let n be -2 - 849/a - -3. Let f = n - -5/56. Calculate the common denominator of f and -42/5.
20
What is the common denominato