et n = -5302420 + 4284354377/808. Let z = -16/101 + n. Calculate the common denominator of z and -31/307.
2456
Let j(h) = h**2 + 13*h + 24. Let x(i) = i**3 - 72*i**2 - 150*i + 154. What is the smallest common multiple of j(-11) and x(74)?
6
Suppose t = -3*n - t + 39, 3*t + 13 = 2*n. Let s(g) = -g**2 + 11*g + 2. Let a be s(n). Calculate the common denominator of -35/12 and 1 + a*4/(-128).
48
Suppose c = -3*g + 408, 2*g - 1252 = -7*c + 4*c. What is the common denominator of 58/3 and (-5)/(c/606)*(-4)/(-108)?
378
Let s = 67 - 63. Suppose 3*u + f = 9 + 1, -26 = -s*u + 5*f. Suppose 3*w + k - 4 = 13, 6 = -2*w - 5*k. Calculate the smallest common multiple of w and u.
28
Let p be (-1)/1 + (-369 - -1). Let h(i) = -106*i - 1266. Let a be h(-12). Find the common denominator of 5/25*p/a and 43/6.
30
Let x = 395159/1958904 - 136/9069. Calculate the common denominator of -95/324 and x.
648
Let g = 1575029/320 + -4922. Find the common denominator of g and 35/2.
320
Let w(q) = q**3 + 23*q**2 - 47*q + 81. Let b be w(-25). Suppose b*h - 3*h + 4*i - 164 = 0, i + 91 = 2*h. Calculate the smallest common multiple of 120 and h.
240
Suppose -4*d = -260 - 300. Find the common denominator of -99/2 and (-417)/(-80) + d/25 + -6.
16
Let j = 455/66 - 327/11. Calculate the common denominator of j and 10/(-3)*117/(-715).
66
Suppose 15*v = -3*v - 1296. What is the common denominator of -38/75 and (66/8)/(v/64)?
75
Suppose -172 = -3*p - 185*n + 184*n, -54 = -p + 3*n. Calculate the smallest common multiple of 969 and p.
969
Suppose -3*f + 4*w + 677 = 0, 2*f + 2*f + 2*w - 866 = 0. Suppose 0 = -4*l - f + 355. Calculate the least common multiple of 8 and l.
136
What is the common denominator of 2 - (696/99)/2 and 46472/3885 + -11 + 0?
1155
Let q(a) = -a**2 + 14*a - 55. Let x be q(19). Let o = x + 177. Calculate the least common multiple of o and 48.
432
Suppose -1163 = -31*l - 543. Suppose -54 = -n - n. Let b = n - l. Calculate the lowest common multiple of 19 and b.
133
Let n(j) = 16*j**2 + 55*j + 12. Let u be n(5). Let h = u + -682. Calculate the least common multiple of 97 and h.
485
Let k(l) = -25*l + 100. Let b(n) = 9*n - 33. Let i(r) = -8*b(r) - 3*k(r). Suppose -5*p + 3*p + 30 = 0. Calculate the least common multiple of i(p) and 25.
225
Let y = 11813983/306 + -38608. What is the common denominator of 137/270 and y?
4590
Let d(u) = 66*u**2 + 7*u - 16. Let c be d(2). Suppose -c*q + 264*q - 20 = 0. What is the lowest common multiple of 17 and q?
170
Calculate the common denominator of (3216/(-128) + 9)*4/9 and 41/1266.
1266
Find the common denominator of 6 + (-10)/135 + (-3)/((-21)/(-49)) and -67/240.
2160
Let h(x) = 3*x**2 + 15*x - 30. Let v be h(-8). What is the lowest common multiple of (-6)/v*-7 - -41 and 2?
42
Calculate the common denominator of (0 - -1) + (-29410)/28600 and -69/4.
2860
Calculate the common denominator of -85/24 and 527*(-24)/2484 - -5.
1656
Suppose -20*m + 476 = -604. Let k = 44 - -4. What is the lowest common multiple of m and k?
432
Let q = 1 + 5. Suppose -q*s - 2*o = -2*s - 198, -3*o = s - 57. What is the lowest common multiple of 44 and s?
528
Suppose 3*x = -22*x - 125, 0 = -5*p + 3*x + 15555. What is the least common multiple of p and 1998?
27972
Suppose 0 = -5*x - 0*x + 20. Let i be x/(-4 + 20) - 147/12. Calculate the common denominator of 6*2/8 - 53/i and -49/12.
12
Suppose 2 = -2*g, -4*j + 5 + 29 = 2*g. Let u(i) = 8*i + 38. Let f = 69 + -73. What is the lowest common multiple of u(f) and j?
18
Let s = -1148347/2763 - 149/921. Let f = s + 318286/765. What is the common denominator of 37/100 and f?
1700
Let n = 8623/828 + -1523/36. Let u = 76087/2300 + n. Find the common denominator of -41/6 and u.
300
Let s = -3248 - -3446. Calculate the least common multiple of 330 and s.
990
Let k = 888 - 868. What is the least common multiple of (18/6)/(3/55) and k?
220
Suppose -6*u = -4*u - z + 2, 3*z = -4*u - 4. Let s(x) be the third derivative of -x**4/6 - x**3/3 + 6*x**2. Calculate the least common multiple of 4 and s(u).
4
Let t = 38/13421 + -1453375/6119976. Find the common denominator of -61/48 and t.
912
Let h = 49 - 32. Calculate the least common multiple of h and ((-129)/15 + 3)*(-14 - (-21 - -12)).
476
Let m = -30303/332204 - -5/3134. Find the common denominator of m and 52/5.
1060
Suppose -1608 = 20*m - 24*m. Calculate the common denominator of -119/66 and -3 - (3 + m/(-36)).
66
Suppose 27 = -3*j + 3*a, -4*j + a - 36 = 2*a. Let r be ((-6)/j)/(2/(-18)). Find the common denominator of 75/r*((-28)/(-16))/(-7) and 53/3.
24
Let o = 1 - 0. Let w(i) = 6*i**3 - i**2 + 2*i - 2. Let l be w(o). Suppose b - 26 = -3*b - l*s, 4*b - 10 = 3*s. What is the least common multiple of b and 6?
12
Let b(y) = -y + 8. Let l be b(10). What is the common denominator of (3/(-15))/(72/(-2420)) and -67*((-9)/l)/9?
18
Suppose -106 - 44 = -3*i. Let h = i + -32. What is the least common multiple of 6 and h?
18
Suppose -5*h - 2*w - 18 = -h, -h = 5*w + 9. What is the common denominator of ((-160)/30)/16*(-75)/h and -43/2?
4
Let x = -972/65 + 119/13. Suppose -23 - 97 = -4*u. Find the common denominator of x and 385/u - (-3)/(-9).
10
Let x be -5*(-61400)/(-153502) - -2. Let w = 126450081230209 + -174693063321005010667/1381518. Let b = x + w. Find the common denominator of b and 83/8.
72
Let h(y) = 2*y**2 - 26*y + 262. What is the lowest common multiple of h(14) and 30?
870
Suppose 2*f + 2*f = 32. Let x = -15711 + 15715. Calculate the lowest common multiple of f/10*5/2 and x.
4
Suppose -580 - 1776 = -5*s + p, -3*s + 5*p + 1396 = 0. What is the smallest common multiple of 64 and s?
3776
Suppose 9*y = 28798 + 32402. What is the smallest common multiple of 22 and y?
74800
Let g be (-8)/(160/45)*(-3872 - -4). Let a = -539567/62 + g. What is the common denominator of 63/16 and a?
496
Suppose 4*h = 16, 3*o = -0*o - 2*h + 1343. Calculate the common denominator of -61/6 and o/(-75) + 0 - -6.
30
Let c = -68 - -92. Calculate the lowest common multiple of (-8)/68 - 6750/(-153) and c.
264
Let n(s) = -5*s**2 - 111*s + 1025. Let x = 65 + 13. Calculate the lowest common multiple of n(-29) and x.
78
Let i = -7716 + 8103. Calculate the least common multiple of i and 6.
774
Suppose -11*d + 199 = 1. Let t be ((-12)/d)/((-2)/(-264)) - 4. What is the common denominator of 43/9 and (-3 + t/(-28))/(4/(-22))?
63
What is the least common multiple of ((-66)/22 + (-142)/6)*5451/(-92) and 1975?
7900
Suppose -70*p + 24 = -64*p. Calculate the common denominator of 37/30 and 532/(-9405)*(-6)/p.
330
What is the least common multiple of 60 and 549/7*(-3850)/(-825)?
3660
Let f be (-13088)/(-19524) - 6/9. Let d = -4068269081 + 52952590239477/13016. Let c = f + d. Calculate the common denominator of -81/22 and c.
88
Let l(z) = -9*z + 20. Let b = 50 - 40. What is the lowest common multiple of b and l(0)?
20
Let c = 7153 - 7128. What is the lowest common multiple of c and 10?
50
Let f(w) be the third derivative of -71*w**5/30 + w**4/6 + w**3/2 + 38*w**2. Let k be f(-2). Find the common denominator of k/168 - (2 + 64/(-28)) and -16/23.
184
Suppose 1133 = 55*h - 682. Calculate the lowest common multiple of 54 and h.
594
Find the common denominator of -23/2 and -6 + (-4)/(-53)*(2670/32 - 0).
212
Find the common denominator of (-299413)/(-34050) + (-18)/2 and 6/55.
1650
Let d(o) = 7*o**2 - 5*o**2 - o**2 - 12*o + 23. Let t be d(10). Let a(v) = v**2 + 2*v + 3. Calculate the smallest common multiple of a(t) and 6.
18
Let n be 135/(-108) - 26/(-8). Let k = -1/85 + 1457/1020. Calculate the common denominator of k and n/(-9) - (-3)/((-108)/37).
12
Calculate the lowest common multiple of 1094 and (-189 + 188)*5/((-10)/32).
8752
Suppose 3*t + 7 = 4*t - x, 5 = -5*x. Suppose 11*j - 450 = t*j. Calculate the smallest common multiple of 6 and j.
90
Let x = 200 + -195. Suppose -3*m + 69 = 5*f, -3*m + x*f + 6 = -33. What is the smallest common multiple of 6 and m?
18
Calculate the lowest common multiple of (-1)/(((-60)/(-48420))/((-1)/3)) and 269.
269
Suppose -95 + 20 = -2*a - 3*x, x + 115 = 4*a. Let l = 26 + a. What is the lowest common multiple of 119 and l?
952
Let f be (-135)/18*8/(-6). Let p be -6*(-2 - f/(-15)). What is the lowest common multiple of 2 and p - 0/(-7 + 2)?
8
Let b = -33285 + 36310. What is the smallest common multipl