4521) - (51 - 57) and -43/959.
10549
Let d = 2/419 + 25529/6285. What is the common denominator of 1/8196 and d?
40980
Let o be 4*-1 - -7*(-3 - -4). Calculate the smallest common multiple of 42 and -3 + -2 + (-225)/(o/(-1)).
210
Calculate the common denominator of -71/108 and (-15686)/21420 - (12 + 832/(-70))*-7.
12852
Let b = 15407/1452 + 37/121. Find the common denominator of b and 109/1276.
3828
Let a(b) = -b**3 + 6*b**2 + 2*b - 6. Suppose -2*d + 64 = 5*v, -5*v + 2*d - d = -73. Let c = -10 + v. What is the lowest common multiple of a(c) and 6?
102
Let l = 47175 + -3632536/77. Calculate the common denominator of l and (323/28 + 1)/(-3).
308
Let q be 24/((-9)/(-3))*1. Let d be (-4)/(-28) - (-1431)/(-21). What is the common denominator of d/(-1)*5/q and 113/14?
14
Let t = -1397/48 - -209/48. Calculate the common denominator of 1/1696 and t.
1696
Let u(s) = -2*s + 7*s + 5*s**2 + 0*s**2 - 13 - 2*s**2. Let a(v) = v**2 + v + 1. Let t(k) = -a(k) + u(k). What is the smallest common multiple of 16 and t(-5)?
16
Let a = 25177/1670508 - -2/8523. Let i = a + 7739/196. Calculate the common denominator of (3/(-24))/((-6)/(-376)) and i.
6
Let t = -73 - -81. Suppose -3*q + t = -2*q. Suppose y - 10 = -y. Calculate the lowest common multiple of q and y.
40
Let n(d) = d**3 + 19*d**2 + 18*d + 35. Let k be n(-18). Let y(s) = -8*s**2 + k*s + s**3 + 6 - 32*s + 3. What is the smallest common multiple of y(8) and 24?
264
Let t = -70 - -30. Let z = 1968 - 13826/7. Find the common denominator of z and (1 + 16)/((-5)/(t/(-44))).
77
Find the common denominator of 67/165 and ((-2)/(-180))/(560/70140).
1320
Suppose -3*i = -70 + 34. Suppose i*j - 26*j = -980. Suppose 109 = 4*o + 45. What is the lowest common multiple of j and o?
560
Suppose 364 + 626 = 55*f. Suppose -6*p = -p + 105. Let j = -1 - p. Calculate the smallest common multiple of j and f.
180
Let y(a) = 8*a**2 - 4. Let j be y(-6). Let o be 1353/45*j/(-8). Let z = o - -1065. Find the common denominator of -91/12 and z.
60
Let q be 2*6/(-42) + (-670)/(-1708). Let n = q - 1238/2745. Calculate the common denominator of n and -23/6.
90
Let s = 9140/4347 - -61/161. Find the common denominator of s and 85/552.
4968
Suppose 2*m + 590 + 165 = -5*r, 0 = 3*m + r + 1152. Calculate the common denominator of (-51)/(-255) + (-43)/m and -87/70.
770
Let i(p) = 3*p**2 - 2*p - 2. Let k be i(2). Let r(l) = -5*l**3 + l**3 - 4*l + 3*l**3 - k*l**2. Calculate the smallest common multiple of 21 and r(-6).
168
Let x = 32151 - 192361/6. Let m = x - 88. Find the common denominator of m and (((-1)/(-5))/(2/(-1635)))/(-9).
6
Let r(y) = y**2 - 2*y + 3. Let s(u) = -u**3 + 5*u**2 + 4*u - 10. Let d be s(5). Suppose -j - 3 = -d. Find the common denominator of 23/11 and r(j).
11
Suppose 2*t - 826 - 583 = -5*n, -5*t = -5*n + 1430. Let o = n - 271. Suppose r = -r + 4, 0 = a + 5*r - 22. Calculate the least common multiple of a and o.
12
Let o = 171/2689 + -371957/2339430. What is the common denominator of -97/60 and o?
1740
Calculate the common denominator of 5594/(-1902) - (-6)/(-30)*-15 and -61/18.
5706
Let y be (-1)/5 - 464/80. What is the common denominator of 49/20 and 51/y - 1 - (-2)/(-3)?
60
Let b(d) = d**3 + 12*d**2 - 20*d - 28. Let l be b(-13). Suppose l*z = 53*z + 90. What is the least common multiple of z and 7?
63
Let l(q) = -q**3 - q**2 + 4*q + 4. Let k = -5170 + 5217. What is the least common multiple of k and l(-3)?
470
Let t = 941291/450 + -18832/9. What is the common denominator of t and 139/390?
1950
Let u(p) = -6 + 5 - 11 + 263*p - 264*p + p**2. Calculate the lowest common multiple of u(7) and 55.
330
Suppose 0 = 1513*u - 1589*u + 182400. Calculate the smallest common multiple of 96 and u.
2400
Let b = -41921987/9490 - -57429/13. Find the common denominator of b and -23/2190.
2190
Suppose -9 = 3*b, 2*w + 2*b = -2*b - 4. Let x(u) = -u + 2. Let i be x(-6). What is the lowest common multiple of -1 - -3*i/12 and w?
4
Let b = 29683/28710 - 136/145. What is the common denominator of -29/936 and b?
10296
Suppose z - 22 = 2. Calculate the common denominator of 61/14 + 2 + -4 and (-2)/((-18)/(-237))*z/(-128).
112
Let w be 4009/9779 - ((-15)/(-35))/1. Let d be 2/762*(-448302)/572. Let a = d - w. Find the common denominator of -17/4 and a.
52
Let m(a) = -10*a**2 + 14*a - 55. Let g(i) = -8*i**2 + 14*i - 54. Let c(j) = -3*g(j) + 2*m(j). What is the smallest common multiple of c(4) and 30?
60
Let v(n) = 25*n**2 - 19*n - 7. Calculate the least common multiple of 37 and v(-1).
37
Suppose -6*b - 3096 = -23484. Suppose -b + 10651 = -n. Let d = -696209/96 - n. Calculate the common denominator of d and -87/14.
672
Suppose 4*l = -4*o - 4476, -2*l + 5*o = -0*o + 2245. What is the common denominator of -163/84 and (8975/l - -8)*316/(-6)?
336
Let w = -88 - -128. Suppose 122*v = -188*v - 69*v + 3032. What is the smallest common multiple of v and w?
40
What is the common denominator of 15/(-55)*(-14)/3 and ((-306)/(-9945))/(1/20)?
143
Let i = 2445 + -100234/41. Let d = i - 1211/82. Calculate the common denominator of -87/22 and d.
22
Let d = -11710 - -11718. What is the smallest common multiple of 3184 and d?
3184
Let i(n) = n**3 - 38*n**2 + 280*n - 108. What is the lowest common multiple of i(9) and (-13 + 3)/(2/(-6))?
630
Let x = 253824 + -81731441/322. Let s = -763447/45354 - 2/7559. What is the common denominator of x and s?
966
Let z = -117322 + 35196557/300. What is the common denominator of 67/6 and z?
300
Let s(h) = -h**2 - 5*h + 4. Suppose -34*u + 1707 + 911 = 0. What is the lowest common multiple of s(-5) and u?
308
Suppose -8 = 5*y + 12, -y = -j + 24. Calculate the smallest common multiple of j and (-7)/(7 - (-105)/(-12)).
20
Let b = -7628 - -1861225/244. Let k = 4624 - 27641/6. What is the common denominator of b and k?
732
Calculate the common denominator of 109/54 and 3*2778/612 + -11.
918
Let z be 12/2128*-2*(-22)/159. Let p = 1220797/845880 - z. What is the common denominator of 11/18 and p?
360
What is the lowest common multiple of 2176 and (((-128)/12)/(-1))/((-18 - -1)/(-153))?
6528
Let n = 549173304/1333 + -411983. Calculate the common denominator of n and -34/5.
6665
Let c(b) = -45*b + 95. Let s be c(2). Find the common denominator of 133/110 and -1 + s/(1400/721).
440
Calculate the common denominator of 17/52 and (2/(-8))/((-65)/(-10))*530/190.
988
What is the common denominator of (-9)/((-54)/121) + -10 + (0 - -5) and ((-27)/42 - 1)*-1?
42
Suppose 4*g = -5*d + 224, d = g + 16 + 18. Calculate the least common multiple of d and 880.
880
Let g(r) = 1169*r + 11. Let a be g(13). Let f = 425919/28 - a. Calculate the common denominator of f and (-26)/10 + (-6)/4 + -3.
140
What is the common denominator of -6 + (2/(-19) - (-1031870)/167314) and 32/555?
9435
Suppose -2127 = -3*u + 852. Let b = -5929/6 + u. What is the common denominator of (-73)/20 - (-2)/(-1) and b?
60
Suppose 0 = 9*f - 52 + 79. What is the common denominator of 183/12 - f/3 and 37/206?
412
Suppose -18*h + 16*h = -106. Suppose 4*g = -d + 2, -3*g + 44 - h = -d. What is the least common multiple of 6 and d?
6
Let t be 6954/10 - 99/(-165). Calculate the common denominator of 20/(-14)*35/12 and -1 + (-628)/t*-3.
174
Calculate the common denominator of 148/2*525/40500*1/42 and 121/216.
3240
Let v = 6242885 + -93551984/15. Let y = v - 6083. What is the common denominator of 53/57 and y?
285
Let f = 43157/348 + -124. Find the common denominator of 113/522 and f.
1044
Find the common denominator of (-1902)/(-176) + 1 + 1 + (-12)/66 and 27/5095.
40760
Let l(r) = 2*r - 8. Let f(a) = -13*a + 14*a - 25 - 9*a. Let q be f(-4). Calculate the smallest common multiple of 6 and l(q).
6
Suppose 6*v - 10*v + 32 = 0. Calculate the least common multiple of ((-132)/15)/((-3)/(28 + 2)) and v.
88
Calculate the least common multiple of 1950 and (-896)/56 - 41*-2.
21450
Suppose 0 = -4*u + 5*u - 2184. Calculate the least common multiple of (u/180 - 4/30)*2 and 56.
168
Suppose 2*d = -d - 9. Calculate the common denominator of -17/50 and 3/(210/408*(-18)/d).
350
Let p(h) = -h**2 - 15*h + 2. Let r = 119 + -60. Let t = -73 + r. What is the smallest common multiple of p(t) and 20?
80
Let v = 209 + -194. Suppose -4*h + 56 = -12. Suppose 4*p + y = 76, -2*p + v = 2*y - h. Calculate the lowest common multipl