and k.
204
What is the smallest common multiple of 45 and ((30/8)/(-1))/(12/2736*-3)?
855
What is the common denominator of 35/122 and 75579/46256*(7/18 - 0/(-3))?
5856
Let j = 223927210692515005/738 - 303424345711721. Let y = j - 59020750. Let c = 596/9 + y. Calculate the common denominator of 87/22 and c.
902
Let r be 2/3 + 1/((-18)/25374). Let f = r - -2893/2. Let j = f + -565/12. Find the common denominator of j and -59/10.
60
Suppose -17*d + 19*d + 48 = 0. Calculate the common denominator of 8/(-36)*1*1305/d and -41/78.
156
Suppose -146 = -35*k + 2129. Suppose -5*n + 5*c + 325 - k = 0, 2*c = -2*n + 88. What is the smallest common multiple of n and 22?
528
Let h = -80/73 + -10/657. Calculate the common denominator of ((-27)/21)/((-8)/(-42)) and h.
36
Let k be -18 - (0 + -4) - (-1 - 3). Let x(z) = 5*z - 28 + z + 30*z**2 - 29*z**2. What is the lowest common multiple of 21 and x(k)?
84
Suppose 0 = -10*u + 7*u + 12. What is the least common multiple of (5*(-16)/(-180))/(u/18) and (24/18)/(2/24)?
16
Let w = 7411/176190 - -2/2517. What is the common denominator of 69/28 and w?
140
Let f be 4/8*(-18 + -2). Calculate the common denominator of ((-21)/(-49))/((-378)/(-147)) and f/(-9) + 5/10.
18
Let y = 780 - 624. What is the least common multiple of 858 and y?
1716
Suppose 3*d - 6 = -n + d, -3*d - 13 = -4*n. Calculate the common denominator of ((-38)/(-16))/(n/(-6)) and -17/36.
144
Let f = 1149 + -8059/7. Let v(o) = o**2 + 5*o - 4. Let g be v(-6). Find the common denominator of (g/(-18))/(22/318)*3 and f.
77
Let d(q) = -2*q - 21. Let j be d(-12). Suppose 5*b = 4*y + 224, 0*b - 132 = -3*b + j*y. Calculate the lowest common multiple of b and 32.
96
Let m = -18/19 + 71/456. Calculate the common denominator of (2/24)/((21/(-726))/7) and m.
24
Let f = -57553507/12 + 4790251. Let u = f - -5878. Calculate the common denominator of -7*(4 + (-118)/36) and u.
36
Suppose -577*l = -561*l - 165 - 123. Calculate the smallest common multiple of l and 1376.
12384
Let z = 1365485931/2216 + -616194. Calculate the common denominator of 47/831 and z.
6648
Let n be (-1 + 1 - -3) + 35395490/819. Let b = -43220 + n. What is the common denominator of -61/77 and b?
693
Suppose 318 = q + 5*f, -3*f - 451 - 706 = -4*q. Suppose 0 = -q*m + 288*m + 15. Let s = -9 + 15. Calculate the lowest common multiple of m and s.
6
Let v = 37/13 + -14360/5187. Find the common denominator of v and -71/56.
3192
Suppose -2*d + 13 = 3*v, 2*d + 3*v = -v + 10. Suppose 14*s = d*s - 43488. Let a = -391462/27 - s. Calculate the common denominator of -16/15 and a.
135
Let k(z) = 8*z**2 + 53*z - 133. Calculate the least common multiple of k(2) and 5348.
26740
Suppose -38 = -3*k + n - 13, -3*n + 5 = k. Find the common denominator of k/(-24) - (-343)/156 and 68/9.
468
Let t(x) = 2*x**2 - x. Let g be t(2). Let z(w) = -3*w**2 + 16*w + 15. What is the smallest common multiple of z(g) and 36?
36
What is the common denominator of (-505245)/(-15840) + -23 - 9 and 41/264?
1056
Calculate the least common multiple of 66 and (-3)/16 - 1435557/(-2416).
594
Calculate the common denominator of 122/(-1200) - (12 + -12 + 0) and -77/375.
3000
Let w be ((-2 - -1) + (-300)/119)/7. Let k = w - -3/17. Calculate the common denominator of k and 81/56.
392
Let p(j) = -177*j**3 + 2*j**2 + j + 1. Let o be p(-1). Let m = -165 + o. What is the least common multiple of (-45)/(-7) + (-9)/21 and m?
42
Let j be (-1575)/(-18) + (-2)/(-4). Let o = -110 + j. What is the smallest common multiple of 8*((-6)/30 - o/10) and 68?
272
Let w = 5764/25 + -84667/75. Let q = w + 882. Calculate the common denominator of ((-1)/1)/((-50)/106) and q.
75
What is the common denominator of (-15)/10*2/3 + 429/(-26) and -11/1718?
1718
Let m = -11521/12 + 953. Let i = -20393/120 - -1339/8. Find the common denominator of i and m.
60
Suppose 0 = h - 7*h + 48. Let u(z) = -13*z + 5*z + 21*z**2 + 19 - 20*z**2. What is the lowest common multiple of u(7) and h?
24
Let r(k) = 0 + k**2 + k + 3*k - 7*k - 24 - 11*k. Calculate the least common multiple of r(-4) and 36.
144
Let m be (-19)/7 - 16/56. Let o = 22 + m. Suppose o*y - 48 = 13*y. Calculate the smallest common multiple of y and 2.
8
Suppose 132 - 42 = -2*n. Let d be (-9 - 6)/(-3) - (-38)/(-2). Calculate the common denominator of ((-32)/d)/(18/n) and -83/10.
70
Suppose -6*k + 4*k + 4*d + 284 = 0, 5*d = 2*k - 281. Find the common denominator of -57/44 and (-7)/7392*9*k.
88
Let m be (-10)/(-15)*3 - (-14 + 4). What is the smallest common multiple of m + 10/10 - 3*1 and 85?
170
Let d = -777137/7440 - -3232/31. Calculate the common denominator of -13/1344 and d.
6720
Let j be (-689)/(-3) - 7/(-21). Let l = j - 208. Calculate the lowest common multiple of l and 244.
2684
Suppose -1111*x + 1115*x - 1088 = 0. What is the lowest common multiple of 340 and x?
1360
Suppose i - 5*o - 30 = 0, 5*i + 2*o = o + 98. Suppose -11*x + 13 = -i. Calculate the smallest common multiple of 53 and x.
159
Let s(c) = 34*c**2 - 1033*c + 414. Suppose 0*b - b = m - 42, 4*b - 168 = 5*m. Calculate the smallest common multiple of s(30) and b.
168
Let h(n) = -32*n. Calculate the smallest common multiple of h(-1) and 112/10 + 28/35.
96
Let j = -12269/4895 + 270/89. What is the common denominator of j and 109/105?
1155
Let k be 3/(-15) + (-1504)/(-70) + -7. Let q = -393/28 + k. Calculate the common denominator of q and 67/172.
172
Let y(z) = 3*z**3 + 1. Let r be y(1). Let a be (315/(-20))/((-3)/(-16))*-1. Suppose 80*t = a*t - r. Calculate the lowest common multiple of 9 and t.
9
What is the common denominator of 18/(-5340)*(-3)/9*(-728)/(-105) and -17/25?
6675
Let w = 18223 - 18103. What is the smallest common multiple of w and 2520?
2520
Let z(w) = 691*w - 6880. What is the least common multiple of z(10) and 1656?
8280
Let v be 1/(-1294)*(-3 + 149457/(-36)). Let c = v - 3/1294. Calculate the common denominator of -55/4 and c.
24
Let g(b) = -5*b**2 + 38*b - 17. Let n be g(10). Let y = 145 + n. What is the common denominator of (((-6)/y)/(-3))/(93/(-2387)) and 119/6?
12
Let h be 3/9*(9 + 0). Suppose 21 - h = 9*n. What is the smallest common multiple of n and 35?
70
Calculate the common denominator of (-49000)/2240 + (2 - (-11 - -2)) and -133/522.
2088
Suppose 176*n + 2*a = 177*n - 4, 0 = -5*a + 5. Calculate the lowest common multiple of 1108/7 + (-6)/21 and n.
474
What is the common denominator of (-142)/(-6)*1/(-13) and (-25327)/16770 - (0 - 1/13)?
390
Let k = -84 - -89. Let w(u) = 2*u**2 - 9*u - 2. Let b be w(k). Suppose -60 - 45 = -5*s - b*i, -4*s + 47 = -5*i. Calculate the least common multiple of 22 and s.
198
Suppose 3*o + y = -7964, -3*o - 5305 = -o + 5*y. Let a = o - -23918/9. Let z = -367 - -3661/10. What is the common denominator of z and a?
90
What is the common denominator of 2 - (10374/(-2596) + (-6)/(-15)*15) and -13/413?
9086
Let i(h) = 36*h + 102. Let q be i(-4). Find the common denominator of 6/9 + q/(-60) and 79/87.
870
Let q = 11004406/1035 - 53168/5. Let z = 32869/33120 + q. Calculate the common denominator of z and -1/12.
480
Let b = -9 + 15. Let g = 95 + -41. Let w = g + -26. Calculate the smallest common multiple of b and w.
84
Suppose -6*k + 2*k = 5*l - 76, -92 = -3*k + 5*l. Calculate the least common multiple of k and (1167 - 1166)/(551/(-1953) - (-4)/14).
2232
Let g(f) = f**3 + 5*f**2 - 5*f - 1. Let w be (5/4)/((-3)/12). Calculate the lowest common multiple of g(w) and 18.
72
Let x = -129 + 153. Suppose -x*l = -11*l - 455. Calculate the lowest common multiple of l and 55.
385
Let d(s) = -27*s**3 - s**2 - 5*s - 4. Suppose -6 = -2*u + 8*u. Calculate the least common multiple of 3 and d(u).
27
Let m be (8/(-22))/(-2) + 8/(-44). Suppose m = -3*k - w + 3*w + 91, 0 = k - 3*w - 21. Calculate the lowest common multiple of 15 and k.
165
Let l(q) = 2*q**3 - 4*q**2 + q + 3. Let t = 89462 + -89422. Calculate the least common multiple of l(3) and t.
120
Let a be ((-8)/(-12))/((-1)/(-18)). Suppose 0 = -a*o + 8*o - 59932. Let k = 359477/24 + o. Find the common denominator of 16/15 and k.
120
Let w = -7360435/396 - -18587. Find the common denominator of w and 50/297.
1188
Suppose 0 = -5*i - 24 - 11. What is the common denominator of ((-880)/(-66))/(i/(-3)) and -11/20?
140
Let t = 239 - 578. Let x = 408 + t. Calculate the smallest commo