105
Let m = 3268791 - 8060838713/2466. Find the common denominator of 51/4 and m.
4932
Let q = -7361368/10595635 - -2/111533. What is the common denominator of q and 39/35?
665
Let i = 1131 - 959. What is the least common multiple of i and 344?
344
Let z = 15/3946 + -21429/187435. What is the common denominator of -121/760 and z?
760
Let j = -310852237/969 - -320797. Find the common denominator of 48/323 and j.
969
Let h = 2004 - 1792. What is the least common multiple of h and 2014?
4028
Let j = 298619/9394 + -1968/61. Calculate the common denominator of j and 58/35 + 0/4.
770
Let n(w) = -67*w**2 - 3*w + 10. Let g be n(9). Let r = -114301/21 - g. Find the common denominator of r and -79/33.
231
Let u(a) = -29*a - 82. Let s be u(0). Let r = -16 - s. What is the lowest common multiple of r and 48?
528
Let s(d) = -d**3 + 10*d**2 - 8*d + 9. Let b(p) = 4*p**2 + 210*p + 114. What is the smallest common multiple of s(9) and b(-52)?
90
Suppose -190*z - 149360 = -39*z - 1521648. What is the lowest common multiple of 24 and z?
27264
Suppose 0 = -4*u - 3*z + 365, -4*u + 82 = 5*z - 273. Let l = 119 - u. What is the least common multiple of l and (-34)/(-12) - (-4)/24?
24
Let y = -1/13425 - 353503/295350. Find the common denominator of 79/525 and y.
11550
Let x = 653 + 2083. Calculate the lowest common multiple of x and 342.
2736
Suppose -4*v + 11 = -5*p + 51, 2*p = 3*v + 16. Let z(c) = 4*c**2 - 35*c + 25. What is the least common multiple of 19 and z(p)?
19
Suppose 11*c - 2*z - 47 = 0, -6*z + 2 = -2*c - 3*z. Calculate the smallest common multiple of 171 and c.
855
Let v = 176108/33 + -16015/3. Calculate the common denominator of v and 67/292.
3212
Let g(k) = -k**3 - 11*k**2 + 28*k + 17. Let j be g(-13). Let m = 1/7394 - 219974/18485. What is the common denominator of 13/((-104)/(-6))*(-154)/j and m?
30
Let m = 11 + -14. Suppose -s = -4*y - 46, 5*s + 0*s = -4*y - 58. What is the least common multiple of ((20/y)/5)/(1/m) and 7?
7
Let b be (3/9)/(1/(-6)). Let t = 11456/11 + -1039. Calculate the common denominator of t and -1 - b/(84/(-171)).
154
Let z = 231937 + -143337035/618. Calculate the common denominator of 97/1854 and z.
1854
Suppose -5*d - 21 = -2*b, -2*b + 0*b + 12 = -2*d. Suppose -b*y - 60 - 30 = 0. Calculate the common denominator of -59/12 and (-53)/11*10/y.
132
Find the common denominator of (-4)/174*-3 - (-39 - 132393/(-3480)) and -73/3916.
39160
Suppose -5*d + a + 0*a = -205, d + 3*a - 57 = 0. Suppose 0*b - 210 = -7*b. Calculate the least common multiple of d and b.
210
Let g(r) = 4*r - 8. Let a be g(3). Suppose a*s + 54 = 3*f, 4*f - 7*s - 72 = -12*s. Calculate the lowest common multiple of 213 and f.
1278
Find the common denominator of (3/324)/(3/(-248)) and 1/21*10486/(-420).
810
Suppose 621*z = 651*z - 1200. What is the least common multiple of 352 and z?
1760
Suppose -204 + 3 = -3*v - 3*o, -3*v - 2*o + 197 = 0. Suppose 183*p + v = 186*p. What is the least common multiple of p and 49?
147
Let o = -1377 + 1381. What is the smallest common multiple of 672 and o?
672
Let v = -2034 - -2358. What is the lowest common multiple of 486 and v?
972
Let c(f) = -2*f**2 - 12*f - 12. Let r be c(-4). Let i = 29 + -9. What is the lowest common multiple of (0 + (-60)/35)/(r/(-98)) and i?
420
Let t = 2557/7 - 360. Find the common denominator of t and -7 - 16/((-17440)/7950).
763
Find the common denominator of 1/(-6) + 430/80 and ((-817)/57 - -16) + (-185)/24.
24
Suppose 0 = 4*w + 4*h - 49824, -2*w - 40*h + 24912 = -39*h. Calculate the common denominator of (-24174)/w + (-3)/(3/(-2)) and 51/22.
7612
Let c(j) = 214*j - 205. Calculate the least common multiple of c(4) and 42.
1302
Let u = -144/329 - 33967/11844. Suppose 7*x + 72 = 2*w + 4*x, -3*w = -x - 122. Find the common denominator of u and (1124/(-280) - 12/w)/3.
180
Suppose 85*f + 3*n + 9514 = 90*f, 6 = 3*n. Calculate the smallest common multiple of 1904 and f.
1904
Suppose 365 = 18*v + 257. Suppose t = -5*t + 54. What is the least common multiple of v and t?
18
What is the common denominator of 1656/(-644)*22/(-128) and 49/192?
1344
What is the smallest common multiple of 45 and (-5666)/(-18) + ((-620)/(-90))/31?
315
Let v = 58676729/6244 + -65781/7. Find the common denominator of v and 35/48.
10704
Let y = 11215 - 11213. Suppose 48 - 10 = 2*t. Suppose -5*n = 5*u - 85, -4*u + y*u = 5*n - t. Calculate the lowest common multiple of u and 6.
66
Let i = 1942201/7805314 - 1/37346. Calculate the common denominator of i and 23/209.
209
Let q(m) = 1282*m**2 - m + 10*m - 8*m - 104*m**2. Let x be q(-1). Find the common denominator of x/(-363) + (2 - 0) and 40/27.
297
Let x be (-39 + 3)/((-5)/((-10)/3)). Let b = 3898453/128 + -30457. Calculate the common denominator of 1294/180 - x/(-30) and b.
1152
Suppose -1680 = 1317*f - 1322*f. What is the lowest common multiple of f and 9?
1008
Let w(t) = -t**3 + 2*t**2 - 212*t + 649. Calculate the smallest common multiple of 36 and w(3).
36
Suppose 7*k = 2*k - 275. Let q be (-672)/(-5) - (-22)/k. Suppose 7*m - q - 20 = 0. What is the smallest common multiple of 152 and m?
1672
What is the lowest common multiple of (2 - 2 - 10)*-1 and 16/(-56) + (-5 - -7 - (-296)/7)?
220
Let u(f) = f**3 - 13*f**2 + f - 5. Suppose n = -i + 2 + 6, -5 = i. Let s be u(n). Suppose j - s = -3*j. Calculate the lowest common multiple of 22 and j.
22
What is the smallest common multiple of 1/(-11) - (-1)/((-187)/(-1887)) and 2029?
20290
Suppose -2*i - 2*s = -4*i + 54, 2*s = -5*i + 156. Calculate the smallest common multiple of (-12)/34 + (-1144404)/(-4233) and i.
270
Let v = 1911/244 + -625915/78812. Calculate the common denominator of v and -31/228.
3876
Let w = 15210730 - 547629151/36. Let j = w + 10724/9. What is the common denominator of j and -21/8?
72
Let v(k) = k**3 + 6*k**2 + k. Let z be v(-5). Suppose -4*w + z = -2*w. Let l(b) = b**2 + 12*b - 229. Calculate the smallest common multiple of w and l(11).
120
Let g(u) = -u**2 + 24*u - 116. Let i be g(7). Suppose 18*c - f = 20*c - 26, 30 = 3*c - i*f. Calculate the lowest common multiple of 134 and c.
804
Suppose 112*a = 117*a - 2040. Find the common denominator of -17/25 and (a/(-210))/(18/(-21)).
75
Let c(j) = -2*j**2 - 24*j - 6. Let q(s) = -s**3 + 7*s**2 - 2*s - 8. Let u be q(5). Suppose 2*i - u = 12. What is the least common multiple of i and c(-11)?
176
Let v be (-1122)/(-357)*7/2. What is the least common multiple of 12 and (2695/14)/v*1088/10?
5712
Let s = -93 - 51. Let x = -136 - s. What is the least common multiple of 20 and x?
40
Suppose 10*c + 550 = 11*c + 5*r, 5*r + 2200 = 4*c. Suppose 30*u = 5*u + c. Calculate the least common multiple of u and 44.
44
Let h(y) = -y**3 + 15*y**2 - 27*y - 5. Let a be h(11). Find the common denominator of -45/8 and ((-56)/560)/((-4)/a).
40
Suppose 4*w - 16 = -2*l, -5*l + 122*w - 128*w + 60 = 0. Let d be 4/6*(0 - -6). Suppose -39 = d*b - 127. What is the least common multiple of b and l?
198
Suppose 247*j - 62*j - 314130 = 0. Calculate the lowest common multiple of j and 36.
10188
Let v = 233/21870 + 1/2187. Calculate the common denominator of 12/(-81)*(-42)/22 and v.
990
Suppose -5*i = -4*k + 49, 0 = -3*k + 5*k + 4*i + 8. Suppose -k*z = -z - 10. Calculate the common denominator of (6 - z) + (-415)/30 and 13/4.
12
Suppose 1341*p - 4050 = 1296*p. Calculate the lowest common multiple of 103 and p.
9270
Let h be 1002/(-4)*(-7316)/186. Let m = h + -137827/14. Find the common denominator of -16/63 and m.
126
Let c = -214 + 463. Let m = -245 + c. Calculate the smallest common multiple of 540 and m.
540
Let z = -138959/12 - -46269/4. Let m = 1013 + -5046/5. What is the common denominator of z and m?
15
Let c = 5837 + -5810. What is the least common multiple of 1890 and c?
1890
Find the common denominator of 80/(-261) + 4/(-18) and (-1 - ((-11)/8 + 0)) + (-10373)/(-552).
174
Let x = -16715/8 - -2078. Calculate the common denominator of x and (-36)/((-24)/(-4)) - ((-833)/42 - -9).
24
Let c = -24503/7 - -3508. Find the common denominator of 7 + ((-746528)/(-2464))/(-41) and c.
77
What is the common denominator of 85/6 and (8/6)/(((-76328)/180)/29)?
1974
Suppose 3*k + 186 = -3*k. Let n = -40 - k. Calculate the common denominator of 51/2 and (-346)/(-24) - -6*1/n.
4
Suppose 4*w - w + 2 = -2*q, -8 = 4*w. Suppose -