584. Let n = x + 5/512. What is the common denominator of n and -69/40?
280
Let w = -30011/31107398 + 3/10606. Let r = w - 272729/58660. Calculate the common denominator of 55/(-2)*21/(-90) and r.
60
Let r = 31713/10 + -3179. Find the common denominator of -167/330 and r.
330
Suppose -22*b + 24*b - 74 = 0. Suppose 3*a - a = 5*z + b, 9 = -a - 3*z. Calculate the least common multiple of a and 29.
174
Let d(p) = -5*p**2 + 124*p - 41. Suppose 0 = -0*k + 5*k - 3*f - 344, 5*f - 10 = 0. What is the lowest common multiple of k and d(24)?
770
Suppose 6*y = 2*y. Suppose -2*x = -5*t + 2, y*x = 5*x - 3*t + 24. Find the common denominator of 75/26 and ((-5)/64)/(x/24).
208
Let c = 4937419/90 - 54862. Find the common denominator of 55/897 and c.
26910
Calculate the common denominator of -71/1155 and (-9)/59535*-1477 - 1/(-5).
10395
Let k(u) = -u**2 - 40*u - 197. What is the smallest common multiple of k(-33) and 58?
986
Let d = -15969/5 - -15707/5. Let m = -8953/170 - d. Find the common denominator of -29/16 and m.
272
Suppose -17*g + 20*g = 4*s + 563, -5*g - 5*s + 950 = 0. Let w = 228 - g. Calculate the lowest common multiple of w and 3.
39
Suppose -7*m = 4*q - 1804, 6*m - 259 = 5*m - q. Calculate the smallest common multiple of m and 1408.
2816
Suppose h = 6*g - 2*g + 3, 3*h + 5*g - 9 = 0. Let a(v) = -2*v + 3. Let y be a(h). What is the common denominator of (y/8)/(27/30) and 67/24?
24
Calculate the least common multiple of 711 and (3 + (-1 - 14)*-1)/1.
1422
Let d(l) = 2*l**3 + 42*l + 2. Calculate the smallest common multiple of 10 and d(7).
4910
Let k = 10117/20 + -507. Let x = -8914 - -303047/34. What is the common denominator of k and x?
340
Calculate the smallest common multiple of 1044 and 19 + (-7 - -8) + 8 + -19.
1044
Let t = 345 + -375. Let p = -28901/650 - 12/325. What is the common denominator of p and (-8)/t*(-15759)/408?
10
Let x(h) = 3*h + 2. Let j(t) be the third derivative of 2*t**4/3 - 47*t**3 - 90*t**2 + 1. Calculate the smallest common multiple of x(4) and j(18).
42
Let h(u) = 6*u + 34. Let c be h(-5). Suppose 0 = 3*s + 4*p - 70, 4*s - 2*p - 100 = -c*p. Suppose 28*z = s*z + 2. Calculate the least common multiple of 7 and z.
7
Suppose -z + 3*m = -78, -m = 7*z - 5*z - 205. What is the smallest common multiple of 954 and z?
10494
Suppose 4*c - 6 = 2*i, 0 = -2*i + 4*i - 3*c + 5. Find the common denominator of i - (-139)/296*2 and 2 + 1/4 - 60/160.
296
Let v = 5975430/829 - 7208. Let q = v + 97021/11606. Calculate the common denominator of q and (3/(-18))/(3/92) + 6.
126
Let n = -7825 + 7847. Calculate the lowest common multiple of 658 and n.
7238
Let n = 42677036/531 - 80371. What is the common denominator of 74/531 and n?
531
Let k = 2134 + -3109. Calculate the common denominator of 5 - 8 - k/333 and -89/6.
222
Suppose 15*j + 5313 + 2397 = 0. Find the common denominator of 48/160 - j/420 and -107/6.
42
Let i(g) be the third derivative of -g**5/60 + 7*g**4/24 + 7*g**3/3 + 14*g**2. Calculate the lowest common multiple of i(8) and 60.
60
Let x = -511097/61 - -8379. Let r = x + 7483/732. What is the common denominator of ((-2)/(-36))/(11/(-195)) and r?
132
Let f = 80 - 71. Let q be (3 + 0)/(4/24). Suppose 0 = z + 12 - q. Calculate the smallest common multiple of z and f.
18
Let q = 6750 - 15354. Let z = q + 309763/36. Calculate the common denominator of z and 99/4.
36
Suppose 215*k + 84016 = 235*k - 2*j, 0 = -5*k + 2*j + 21016. Calculate the least common multiple of 7980 and k.
79800
Find the common denominator of 11/(-88) + (3 - (-285)/(-72)) and -143/24.
24
Let n be ((-4)/(80/175))/(4/16). Calculate the common denominator of 54/12*n/6180 and -21/8.
824
Suppose -168 - 110 - 550 = -23*m. Calculate the smallest common multiple of 576 and m.
576
Let b = -116203/3611720 + 2/64495. Find the common denominator of b and -59/24.
840
What is the common denominator of 53/22 and (-120)/(-48) + (-4137)/1641?
12034
What is the least common multiple of 16 and (48/(-40))/(27/(-45))?
16
Suppose 0 = 4*y - 281 - 23. Let z = -114 + y. What is the common denominator of 18/32 - (-19)/z and 81/8?
16
Let y = -8197 - -131107/16. Let n(v) = v**2 + v + 30. Let u be n(0). Calculate the common denominator of y and 24/u + (-866)/220.
176
What is the common denominator of (1179/(-9))/((-35)/(-10)*-3*60) and 127/630?
630
Suppose 18 = 3*l + 3*k, 5*k - 28 = -l - 3*l. Suppose 78 = 2*j + 2*s, 2*j - j - s = 37. Calculate the smallest common multiple of l and j.
38
Suppose -95*q = 93*q - 25*q - 13040. Calculate the lowest common multiple of 5 and q.
80
Find the common denominator of ((-13680)/1984 - -9)*(83/42 - 2) and 75/14.
1736
Suppose -5*o = 0, -2*i - i + 4*o = 0. Let l(v) = -v**2 - 5*v + 26. Calculate the least common multiple of l(i) and (-22 + 2)*(-4)/16.
130
Let b be (-55556)/(-340) + 6/10 + 0. Suppose 8*y - 212 = -b. Calculate the smallest common multiple of y and 18.
18
Suppose 3*w - 51 = -3*t, 2*t - t + 4*w - 23 = 0. Suppose -3*i = 2*y - 218, y - 4*i - 61 = 48. Let j = y - 94. What is the smallest common multiple of j and t?
15
Let m be 2 - 7*-1*(-3 - -4). Suppose -5*a + m*a - 24 = 0. Calculate the smallest common multiple of 6 and a.
6
Let n = -301182127/22 - -13687757. Let y = n + 2339. Find the common denominator of 2/10 - (-31)/(-130) and y.
286
Suppose 8*h = 100 - 68. Suppose 4*t = -5*b + 232, -249 - 15 = -h*t + 3*b. Calculate the least common multiple of 245 and t.
2205
Find the common denominator of 61/258 and (-16)/(-26218 + 10) + 2/7.
10062
Suppose 0 = 13*p + 1803 - 2011. Suppose -4*a + 4 = -5*r - 7, 2*a = 4*r + 4. What is the smallest common multiple of a and p?
16
Let r be ((-10)/(-4))/(-5) - (-9)/2. Suppose r*v = -5*v + 45. What is the smallest common multiple of (2 - (2 + 3)) + 1*v and 8?
8
What is the common denominator of (-164)/150 - (-1 - -1) and 439/120 - 4 - (-2)/4*(-18)/(-54)?
600
Calculate the common denominator of (126/24)/(-7)*((-1595)/(-40))/(-11) and 43/900.
7200
Suppose -8*s + 716 + 3876 = 0. Suppose 20*m = 21*m - s. Suppose 19*v - 12*v - m = 0. Calculate the least common multiple of v and 22.
902
Let b = 294827/490 + -3009/5. Let z = 407 - 410. Calculate the common denominator of b and z + (-255)/(-24) + 0 + 3.
392
Let p = -61 + 64. Let m(b) = 8*b - 10*b**p - 9 - 6*b**3 + 15*b**3 + 5*b**2. Calculate the smallest common multiple of m(3) and 30.
330
Suppose -5*l - 270 = -h, -3*l = -7*l + 5*h - 216. What is the common denominator of (l + 118)*(-1)/2 and 85/4?
4
Suppose 3*w - 2*i = -i + 1174, -4 = i. Calculate the common denominator of 88/45 and (-1 + 3)*(-355)/w.
585
Let y = 25559/24 + -4255/4. What is the common denominator of y and 8142/264 - (-49 + 79)?
264
Let x = 54862/3745 + -516/35. Let d = x - 5902/963. Let o = -56828/10395 + 2/10395. Find the common denominator of d and o.
45
Let j(s) = s**3 + 38*s**2 + 31*s + 40. What is the smallest common multiple of j(-21) and 8?
27544
Let w be (-2)/(-16) + 51/(-24). What is the common denominator of (-4)/(-240)*-206 - w/5 and 34/9?
90
Let h = 2088241586693/97363944 - -8/12170493. Let m = h - 21443. Find the common denominator of -1/10 and m.
120
Suppose -47*i = 4*a - 52*i - 1055, 0 = 3*i + 9. Let c = 581 - a. What is the lowest common multiple of 15 and c?
1605
Let y = -568 + 973. Calculate the least common multiple of y and 20.
1620
Let a = 32263 + -27319. Calculate the smallest common multiple of 432 and a.
44496
Let l be 1/2 - (-404810)/(-68). Let a = l - -5955. Calculate the common denominator of -7 + (8/(-252))/((-18278)/(-6097) + -3) and a.
153
Let k = 3371/450 + 2/225. Let d = k + -15. Find the common denominator of d and 425/(-45)*9/12.
12
Let k = 3062 - 33732/11. Let y = -61 - -52. Find the common denominator of k and (y + 5 - 14/(-12)) + 1.
66
Let y be 1 + -6 - 10/(-2)*1. Suppose y = 24*g + 22*g - 1242. What is the least common multiple of 21 and g?
189
Let o = 23166260/1076757 + 10/32629. Let n = 398/11 - o. What is the common denominator of n and (-2)/(-4) + 76/216?
27
Let j be (-405)/10*(-4)/6. What is the common denominator of 1*86/(-28) + (-6)/(-4) and (-9)/(-3) - j/11?
77
Let l = 1128959/10 + -112804. Let q = -92 + l. Find the common denominator of 27/590 and q.
590
Suppose 10*b = -2*b + 11460. Calculate the common denominator of 73/42 and 7/(1890/b) + -5.
378
Let w = 219203/10