1681. Let a = w + -69/8. Calculate the common denominator of -3 + 44/(-110)*318/(-16) and a.
20
Let i = 51147 + -34370767/672. What is the common denominator of i and 41/96?
672
Let n(u) = -16*u + 4. Let c be n(-5). Suppose -l = -3*l + c. What is the lowest common multiple of 6 and l?
42
Find the common denominator of (4/35)/(7272/(-180)) and 21/101.
707
What is the smallest common multiple of 5 - (5588/(-33))/(2/15) and 45?
3825
Let b(h) = -h**3 + 7*h**2 - 3*h - 1. Let q be (-3)/(-5) - (-83)/(-5). Let k = 21 + q. Calculate the lowest common multiple of b(k) and 9.
306
What is the common denominator of 30 - ((-2)/(-2))/(-1 + 3) and (-3 + -122)/((-540)/(-30))?
18
Let c(a) = a**2 - 5*a + 7. Let x be c(4). Suppose 8*w = 37 + x. Suppose -w*z + 91 - 1 = 0. Calculate the smallest common multiple of z and 28.
252
Suppose -m - 5*a + 743 - 189 = 0, 3*a = 4*m - 2055. What is the smallest common multiple of m and 24?
4152
Suppose 5*y - 247 = 2*n, -2*n + 2*y = 3*n + 628. Let m = -89 - n. What is the common denominator of m and ((-30)/55)/((-1)/5)?
11
Suppose -5*r - 408 = 2*p, -2*p - 2*p - 868 = -3*r. Let g = -58 - p. Calculate the lowest common multiple of g and 8.
312
Let q(x) = x**3 + 16*x**2 - x - 10. Let s be q(-16). Suppose -210 = s*p - 4*p. Let b = -96 - p. Calculate the lowest common multiple of 3 and b.
9
Let o(j) = j**3 + 2*j**2 + 3*j - 4. Let t be o(1). What is the common denominator of -91/40 and t/(-4) - (-2895)/450?
120
Let y = -195 + 203. Calculate the smallest common multiple of (2 + y)*(-552)/(-48) and 5.
115
Suppose 2*q + 3 = 27. Calculate the least common multiple of (-43)/((-1161)/(-6)) - 164/(-9) and q.
36
Let d(y) = -69100*y + 39. Let a be d(-2). Let x = a - 20459469/148. What is the common denominator of x and 91/10?
740
Find the common denominator of -89/44 and (-803)/(-25344)*42 + -1.
4224
Suppose 0 = -5*n + 31*h - 34*h + 4293, 2*n - 1686 = 4*h. Calculate the smallest common multiple of n and 1235.
11115
Suppose -4 = -3*o + 2*o. Suppose 0 = 13*y - 0*y + 8*y. What is the least common multiple of 58 - y - (5 + -1) and o?
108
Let y = -662 + 707. What is the lowest common multiple of 72 and y?
360
Let v be ((-744)/(-310))/((-4)/(-10)). Suppose v*b - 432 = -144. What is the smallest common multiple of b and 36?
144
Suppose 0 = 5*c + 2*k - 17, -4*c - 73*k + 12 = -71*k. What is the least common multiple of 82/3 - 2/6 and c*((-9)/(-36))/((-15)/(-108))?
27
Let f(x) = -2*x**3 + 3*x**2 + x - 4. Let s be (2/(-3))/((-8)/36). Suppose -y + 1 = s, 0 = 5*b + 3*y - 14. Calculate the smallest common multiple of f(-2) and b.
44
Let k be ((-23280)/(-57))/(-4) + (-14)/(-133). What is the common denominator of 64/141 and (103/30)/1 + k/(-102)?
1410
Calculate the common denominator of 107/90 and -2*216/48 - 523/(-54).
270
Calculate the common denominator of 11 + (-4 - -6) + -5 + (-32503)/4070 and 22/185.
4070
Suppose 15*y - 5*y - 576 = 4*y. What is the least common multiple of y and 133 - -1*(-1 + -4)?
384
Find the common denominator of -113/90 and (69/184)/(1215/1494).
180
Find the common denominator of 39/3268 and (-2 + -1)/(3655/340).
3268
Let g = -256296600 + 7689950459/30. Let y = g + -35087. Calculate the common denominator of 95/6 and y.
30
Find the common denominator of (2/(-8))/((-1)/(-4)) - 807/(-660) and -11/160.
1760
Let q(a) = 41*a + 9. Let p be q(13). Suppose 0 = -4*z + p - 142. Find the common denominator of 44 and 239/(-90) + (-40)/z.
18
Calculate the common denominator of 90305/60300*6 + -9 and 61/18.
6030
Let z = 13994 + -2574855/184. Find the common denominator of 59/2668 and z.
5336
What is the common denominator of 28446150/(-1356384) + 21/1 and -97/7960?
15920
Suppose 13*q - 15*q + g + 1059 = 0, 0 = -g - 5. Let o = 552 - q. Calculate the lowest common multiple of o and 225.
225
Suppose -3*n + 6*n = -39. Let i(b) = b**2 - b + 1. Let k be i(n). What is the common denominator of -61/24 and 4 + 3 + k/36?
24
Let r(p) = -279*p + 1191. What is the smallest common multiple of 72 and r(1)?
2736
Let t be 84/(-210) + (-2421865952)/1845 + 1. Let f = t - -2625295/2. Let l = 546/41 + f. What is the common denominator of -85/14 and l?
126
Calculate the common denominator of -1*11 - 18483303/(-1676196) and -7/32.
44256
Calculate the common denominator of -137/84 and ((-154)/(-187))/7 + (-15545)/7140.
84
Calculate the common denominator of (18/(-10))/((-4)/30 + 861/(-630)) and 22/35.
35
Let g(j) = 9*j**2 - 1. Let v be g(-1). Suppose -2 = -7*k + v*k. Calculate the lowest common multiple of (-3 - (2 + k))/(-3) and 1.
1
Let q(k) = -k**2 + 13*k + 108. What is the least common multiple of q(15) and 260?
780
What is the smallest common multiple of 8 and ((-429)/(-572))/((-6)/(-1024))?
128
Suppose -46 = 5*t + 254. Let s be 168561/t - ((-18)/(-15))/(-6). Let d = s + 2807. Calculate the common denominator of 103/18 and d.
180
Let i(y) = y**3 - 34*y**2 - 105*y + 282. Calculate the lowest common multiple of i(43) and 9.
37224
Let g = -161 - -164. Suppose 2*z + 14 = 4*q, -2*z - 19 = -g*q - 7. What is the least common multiple of q and 9?
18
Let o = -10 - -69. Let g = 17 - o. What is the common denominator of (-7)/(g/(-5))*-11 and -29/2?
6
Let s(j) = -j**2 + 7*j. Let n be (52/(-12) + 4)*-21. Let l(q) = q**3 - 10*q**2 + 21*q + 5. Calculate the lowest common multiple of l(n) and s(5).
10
Let a(f) = f**3 - 6*f**2 - 52*f - 13. Let l be a(11). Suppose -b = 2*y - 21, 4*y - 7 = 3*b - l. Calculate the least common multiple of b and 55.
55
Let n be (-1)/((-3458)/(-3462)) + 1/1. Let y = n - -164299/38038. Find the common denominator of 0 + -1 - 2565/(-486) and y.
198
Find the common denominator of 11/13 and (20584/(-5376)*2 - -8)/(35/15).
10192
Let u(j) = j**2 - 5*j - 35. What is the lowest common multiple of u(10) and 33?
165
Suppose -29*z - 16738 + 22802 = -33173. Calculate the least common multiple of 330 and z.
13530
Let i = 26444 - 13010443/492. Let d be (135653/31570)/((-24)/20). Let q = i - d. Calculate the common denominator of q and -53/2.
22
Let p = 288661/27 - 10692. Find the common denominator of p and -73/63.
189
Let u = -68023 - -12244259/180. What is the common denominator of 37/930 and u?
5580
Let p(x) = -3*x**3 + 5*x**2 - 7*x + 6. Let f be p(6). What is the common denominator of 96/(33/2 - 3) and (-3)/21 - 6/(f/(-940))?
9
Let w = -82 - -159. What is the least common multiple of w and -53 + (1628/37 - -108)?
693
Let f(m) = 15*m**2 + 7*m - 10. What is the least common multiple of 1*(-1 - -2) + -6 + (0 - -19) and f(7)?
5418
Let j(k) = k**2 - 4*k - 6. Let v be j(5). Let z be 67292/12*v - (-2)/3. Let w = z + 100883/18. What is the common denominator of w and -11/21?
126
Let h(q) = 5*q + 4. Let r be h(-2). Let a(k) = -k**3 - 6*k**2 + k + 12. Let t be a(r). Find the common denominator of 37/9 and -26*4/(-368)*t.
207
Let k = 900896939/1560 - 577498. What is the common denominator of -39/4 and k?
1560
Let a = -53/2272 + -13841/124960. What is the common denominator of -87/770 and a?
3080
Let w = 127137/16 - 7949. Let f = 16451/117 + -1201/13. Let b = f - 1343/36. Find the common denominator of b and w.
48
Suppose 2*j + 60 + 2 = 5*p, 3*p + 3*j - 33 = 0. What is the least common multiple of p and 3?
12
Let r be 216797/132 + ((-10)/(-6) - 2). Let o = 1642 - r. What is the common denominator of o and (-526)/264 + (35/(-30))/7?
44
Let j = 37845 - 138669/4. Let p = -3158 + j. Find the common denominator of p and 19/2 - 2/(-8)*-4.
4
Suppose -328*x + 325*x + 4585 = -5*z, -4*x - 2*z = -6044. Calculate the lowest common multiple of x and 2424.
12120
Suppose -82*z + 80*z = -328. What is the lowest common multiple of z and 246?
492
Let o be 6 - 433/(-40)*29. Let d = o + -1619/5. What is the common denominator of -129/280 and d?
280
Suppose -18*f - 15 = -2*i - 15*f, 0 = -5*i + f + 18. Let u = -16 + 10. What is the lowest common multiple of 1*i - (2 + u) and 7?
7
Let d be (0 + -5)/5 - -2. Calculate the common denominator of 43/113 and d/(29/19 - 6/6).
1130
Suppose 0 = -w - 333 + 330. Calculate the least common multiple of 30/(-75) - w/(-15)*-92 and 27.
54
Let l = -153234 + 45663689/298. Find the common denominator of l and -13/98.
14602
Let u = 28949/8 - 3612. Calculate the common denominator of u and 42/233.
1864
Let i = -114286 - -10057275/88. Find the common denominator 