360
Suppose 679*v = 672*v + 84. Let u = 18 + -10. What is the lowest common multiple of 6/(3/u - 0) and v?
48
Let l = 1714/329 + -30/47. Calculate the common denominator of l and -59/9.
63
What is the common denominator of (670/320 - 2)/(6/(-38)) and 1/156?
1248
Let w(u) = 3*u**3 + 25*u**2 - 21*u - 23. Let z(n) = -8*n - 48. Calculate the lowest common multiple of z(-8) and w(-9).
16
Let z = -3774 + 5412. Find the common denominator of (-15)/(-63)*38/(-10) and (-2)/(-13) + (7 - 13265/z).
126
Let m be 2/(-3)*(16 - 22). Suppose m*s + 2*q = 126, -5*s + 66 = 2*q - 93. Calculate the smallest common multiple of s and 44.
132
Calculate the common denominator of 20/1563 and (31/(-14) - -2)*(-760)/57.
10941
Let z = 14 + -10. Let w = 488 + -143. Suppose w - 333 = 3*y. What is the least common multiple of z and y?
4
Let i = -12049/15144 - -5/1262. Let a be 254674/(-29520) - (-33)/(-22). Let t = 4/1845 + a. Find the common denominator of t and i.
24
Let m(o) = -1753*o**2 + 1 + 16*o - 31 + 1754*o**2. Let g be m(-21). Calculate the common denominator of (10/g)/(4/(-5)) + 1 and -89/8.
24
Let h(o) = -741*o**2 - 11*o - 3. Let u be h(6). Let g be -3 - 2/((-36)/481325). Let a = u + g. Calculate the common denominator of a and 41/8.
72
Let c be ((-3521)/(-82))/((-12)/(-2)). Let v = c - -117/82. Find the common denominator of v and (168/(-16) - -11)*840/(-48).
12
What is the common denominator of (21/(-48))/(1/26) and (-5)/(-10) - (-19)/3?
24
What is the least common multiple of 224 and (6/(-4))/(32/(-256))?
672
Let p(q) = -q**3 - 3*q**2 + 7*q + 10. Let a be p(-4). Let f be a/(-6) + 861/9. Calculate the common denominator of -93/22 and (-12)/f*87/(-2).
176
Suppose -6*u - 27 = -33. Let d(j) = 7*j**2 + 2*j - 3. Suppose -5*a = -6*a + 10. Calculate the smallest common multiple of a and d(u).
30
Let t(s) = s**2 - s + 4. Let i(l) = -5*l**2 - 14*l - 112. Let o(w) = i(w) + 6*t(w). Calculate the least common multiple of o(-5) and 3.
111
Suppose -129*w + 128*w = 2. Let p be 9/(w/((32/(-6))/(-4))). What is the common denominator of ((-102)/(-680))/(p/65) and 71/35?
280
Let s = -162/673 - -393445/1296198. Calculate the common denominator of -121/1926 and s.
1926
What is the least common multiple of 11 and 183/244 - ((-1)/(-4) - (-2282)/(-4))?
6281
Let l = -390 - -610. Calculate the smallest common multiple of 165 and l.
660
Let y(r) = r**2 + 9*r + 10. Calculate the least common multiple of y(-9) and 3350/268*(11 + -1).
250
Let a = -3274 + 3275. Suppose 2*u - 2 = 4. Suppose -247 = -5*m + u*h, 3*h + 195 = 4*m - 2*h. Calculate the least common multiple of m and a.
50
Let b = 6023/7 - 862. Let u(j) = -j**2 + 7*j + 46. Let w be u(11). Find the common denominator of b and w/4 + 3/1.
14
Let j = -11/6079 + 264631/1787226. What is the common denominator of j and -59/210?
1470
Let o = -302 - -4229/14. Let v = 428393/18 - 23807. Find the common denominator of o and v.
126
Suppose 4*p - 3*p = 3*j - 42, j - 4*p - 3 = 0. Let a = -312449 - -312554. What is the lowest common multiple of j and a?
105
Suppose 5*f = g + 9 - 177, 4*f = -4*g + 528. What is the smallest common multiple of 39 and g?
1794
Let d = 19943 + -58030/3. Let a = d + -591. Find the common denominator of a and 19/78.
78
Let k = -117849259/12 + 47778056484/4865. Let w = k - -31/417. Find the common denominator of w and -101/4.
140
Suppose -34*v = 60*v - 94. Calculate the smallest common multiple of 4111 and v.
4111
Let b = 35444573/36 - 984642. Let i = -736/9 - b. Find the common denominator of (2/((-348)/(-267)))/(-2) and i.
116
Let m = -3/224 + -2425/2912. Suppose -36 = -372*g + 378*g. What is the common denominator of -5 - 136/(-64) - g and m?
104
Calculate the common denominator of -32/77 and (-2)/((-418)/1895) - (-139 - -148).
1463
Let r be 0 + 1 + -2 - (-12)/4. Suppose 0 = 5*m - r*n - 110, -10 = -5*n + 7*n. Let c(u) = -u**2 - 10*u - 10. Calculate the least common multiple of m and c(-7).
220
Let u(i) = -2*i - 24. Calculate the smallest common multiple of u(-16) and 64.
64
Find the common denominator of (-17 - 2667/(-196))*1/(-4) and -53/952.
1904
Let s = 125 - 115. What is the common denominator of -23/52 and (-44 - s)*(-2 + -1)/(-12)?
52
Let b(l) = -31*l + 1. Suppose -5*o - 5 = -0. Suppose 1740 = 20*i + 67*i. What is the smallest common multiple of b(o) and i?
160
Suppose 2273 = 18*w - 14*w - 5*c, 5*w = -5*c + 2875. Calculate the least common multiple of w and 68.
9724
Let j = 367 - 173. Calculate the lowest common multiple of 1*-1*-2*(-315)/(-126) and j.
970
Suppose -36593*z = -36560*z - 264. What is the least common multiple of 510 and z?
2040
Let b be (-2897904)/693*1 + 6/21. Let z = 4181 + b. Find the common denominator of z and -53/8.
264
Suppose 3*s - 9 = 3*q, -5 = -5*s + 2*q + 7. Suppose 0 = 3*u, s*u - 3 + 1 = k. Find the common denominator of ((-8)/2)/((-5)/4) and k.
5
Let n(d) = d**2 - 20*d + 40. Let a be n(18). Suppose -4*f + 6*f - 62 = -4*i, 130 = a*f + 2*i. What is the least common multiple of f and 12?
132
Calculate the lowest common multiple of 612 and -23 + 2982/189*18.
17748
Let j = -272071 + 2442748/9. Let o = j + 653. What is the common denominator of 61/39 and o?
117
Let p(j) = -34*j - 321. What is the least common multiple of 632 and p(-35)?
6952
Let y be (4 - 3)/(1/23). Suppose -3*z - y - 22 = -b, 29 = -z + 5*b. Calculate the common denominator of 97/2 and (-1863)/(-210) - (-8)/z.
10
Let v = 34286658535720532 + -71222030016640308818355/2077252. Let r = v + 2/519313. Let w = 1055 - r. Find the common denominator of 33/8 and w.
8
What is the common denominator of -75/512 and 4/14 + ((-22077)/(-2016) + -11)*-124?
512
Let h = 725180 - 414803079/572. Find the common denominator of h and 97/312.
3432
Suppose 4*o - 21*o + 1360 = 0. Suppose -k = i - 187, -i + 187 = 83*k - o*k. What is the lowest common multiple of i and 187?
187
Let b = -773 - -761. Calculate the common denominator of 131/57 + (-4)/b and -42/31.
589
Let m = 235/36 + -67/144. Calculate the common denominator of ((-6815)/1410)/((-2)/(-10) - (-68)/(-15)) and m.
208
Calculate the common denominator of 75/848 and (-10)/(-60) + (-21)/234 - 11532/(-6240).
4240
Suppose 48*q = -42*q + 49680. Calculate the smallest common multiple of 60 and q.
2760
Let a = -155043/20 - -7754. Calculate the common denominator of (989/(-4816))/((-290)/(-609)) and a.
160
Suppose 305*x - 14368 = 297*x. Calculate the lowest common multiple of 22 and x.
19756
Suppose -18*p - 5*v = -23*p + 19105, 5*p - 19065 = -5*v. Let j = -53373/14 + p. Find the common denominator of 173/42 and j.
42
Suppose -4*m - 5*v + 226 = 0, 2*v + 1 = -4*m + 221. Suppose -2*z + m = -z. What is the smallest common multiple of 24 and z?
216
Suppose -11*w + 1158 - 4436 = 0. Let g = 582 + w. Calculate the smallest common multiple of g and 10.
1420
Let q(i) = -i**3 + i**2 + 8*i + 100. Let f be q(0). Calculate the smallest common multiple of 40 and (-60)/f + 256/10.
200
Let y = -165 - -178. Suppose -5*r + 77 = -y. What is the least common multiple of r and 24?
72
Suppose -3*b = -2*y + 2381 - 9324, 2*y = 4*b - 9260. Calculate the lowest common multiple of b and 35.
11585
Suppose 0 = 5*f - 20, 4*f = -3*y + 2*f + 503. Let z = -925 - y. Calculate the common denominator of -133/6 and ((-24)/(-800))/((-24)/z).
240
Let y = 245 + -248. Calculate the common denominator of (-1)/y*2673/(-432) and 143/84.
336
Suppose -302*m = -303*m + 164. Suppose -2*n + m = 3*y, -2*n + 35 = -5*y - 161. What is the smallest common multiple of n and 12?
264
Let u(g) = 556*g**3 - 4*g**2 + 3*g + 1. Calculate the smallest common multiple of 28 and u(1).
3892
Let h(o) = o**2 - o - 1. Let t(y) = -4*y**2 - 5*y**2 + 14*y + 10 + 4*y**2 - 3. What is the lowest common multiple of t(3) and h(3)?
20
Let g = -182036617711/3498 + 52040202. Let z be ((-122)/(-106))/((-3)/2). Let b = g + z. Find the common denominator of b and 21/20.
220
Suppose -s = -4*v + 298, 0 = 2*v + 2*s - s - 152. Suppose 3*j - 7*j = 2*a - 138, 67 = 2*j + 3*a. Calculate the smallest common multiple of v and j.
525
Let o = 1280 + -2141. Calculate the common denominator of o/1029 + 2/(2 + 0) and -5/77.
539
What is the lowest common multiple of 1287 and ((-1)/3)/((-20)/28 + 86/129)?
9009
Let m = -9319 + 10505. Calculate the least common multiple of m and 1186.
1186
Let n be 45