Let v(x) = -x**3 + 3*x**2 + 1. Let o be v(3). Calculate the common denominator of (-16)/(-15) + o/(-2) and -18 + 682/36*2484/9108.
30
Let k(s) = -s**2 - 27*s - 83. Suppose 2*i = -8, -l + 14 = l - 4*i. Calculate the lowest common multiple of (-12)/20 + l*(-144)/15 and k(-21).
387
What is the common denominator of 21/332 and (231/(-98) - 0)/(27/(-24))?
6972
Let t = 184 + -85. Calculate the common denominator of (-4 - t/(-126)) + (-1)/6 and 39/35.
105
Suppose 78 = 6*t - 732. Let o = t - -3. Let u = -122 + o. What is the lowest common multiple of u and 74?
592
Suppose -4*d + 0 - 8 = 0. Let v be (-40)/(-8) - (-4 + -2)/d. Suppose -2*p + 25 = -5*r, -v*p - 4*r = 2*p - 92. What is the least common multiple of p and 10?
20
Let v be (39/(-6))/((-59)/8). Let h = v - 3825/3068. Calculate the common denominator of -19/36 and h.
468
Calculate the common denominator of (3816/(-10388))/((-220)/(-693)) and (-115)/(-2)*(-6)/550.
770
Let l(f) = f**3 - f + 32. Let c(r) = r**3 - 165*r**2 + 1410*r - 920. Calculate the smallest common multiple of l(0) and c(156).
32
What is the lowest common multiple of (-96 - -83)*(1*-1)/(4/4) and 1001?
1001
Suppose -7*p = -17*p + 300. Let m = 144539/34 - 4250. What is the common denominator of 8/(-12) + 179/p and m?
170
Suppose -28*v + 8970 = -8*v + 58*v. Calculate the least common multiple of 1265 and v.
1265
Let z(d) = 161*d**2 + 8*d + 9. Calculate the lowest common multiple of 324 and z(-1).
324
Let w = 301 - 298. Suppose -2*u + 220 = w*o + 3*u, o - u = 68. What is the lowest common multiple of 40 and o?
280
Let k be 1339429148140/(-6975) + (-1)/5. Let v = k - -192032845. Let h = v - 72/155. What is the common denominator of 29/37 and h?
333
Suppose 0 = -3*r + l + 9014, -2*r + 5*l + 4317 = -1662. Calculate the smallest common multiple of 186 and r.
18042
Suppose -l + p + 15 = -2*p, l - p = 5. Suppose -6*d + 159 + 81 = l. What is the lowest common multiple of d and 75?
600
Let f = -311116/152237 + 1/6619. What is the common denominator of (-64160)/(-1920) - (-84)/(-4) and f?
276
Let s(t) = -18*t - 196. Let w be s(-11). Suppose u - 26 = w*y, -u + 0*u + 44 = 4*y. What is the smallest common multiple of u and 18?
288
Let x(l) = -l**2 - 76*l + 881. Calculate the least common multiple of x(-73) and 70.
7700
Let m(h) = h**2 - 9*h - 17. Let r be m(-3). Calculate the common denominator of (r/(-12))/((-44)/(-99)) and 115/72.
144
Suppose 2*h = -5*c - 5, c - 4*h = -2*c - 29. Find the common denominator of (2/(-8))/(c/(2370/55)) and 18/8*50/(-35).
154
Suppose 0 = 63*c - 67*c + 3*k + 447, -304 = -3*c - 4*k. Let m be (27/(-4))/((-2)/(-24)). Let f = c + m. What is the smallest common multiple of f and 18?
54
Let a = 884999/14 - 63174. Let w = -40 + a. What is the common denominator of -29/22 and w?
154
Suppose -12*y - 704 = -56*y. What is the lowest common multiple of y and 92?
368
Let b = -39487516461/1855 - -21287067. Let f = 2687627/265 + -10142. Let o = f - b. Calculate the common denominator of o and 61/18.
126
Let c = -11155/1444 + -9/361. Find the common denominator of -97/180 and c.
180
Suppose -1909 + 2899 = 8*o - 2554. What is the lowest common multiple of 9 and o?
3987
Suppose -5*t - 15 = -2*t, 5*t + 1785 = 4*w. Suppose 0 = 4*u + 4*l - 388 + 36, 5*l + w = 5*u. Calculate the least common multiple of 12 and u.
264
What is the common denominator of 35/1824 and (-1343)/312 - 276/1794?
1824
Suppose -22*r - 35 = -1289. Suppose -216 = 45*f - r*f. Let w(n) = n + 8. What is the smallest common multiple of f and w(-6)?
18
Let w = -2884799 + 19616633289/6800. Calculate the common denominator of 99/80 and w.
6800
Let n = -2659/7 + 284415/749. Let b = 851/856 - n. Calculate the common denominator of b and -79/24.
24
Let g = -21 - -85. Suppose u + g = -5*y + 2*u, 29 = -2*y - 3*u. Let b = -4 - y. What is the smallest common multiple of b and 27?
27
Let b be (-1 - (3 - (7 + -2))) + 155. Suppose 222 - b = 2*k. Calculate the smallest common multiple of k and 24.
264
Let d = 122 - 125. What is the common denominator of -77/4 and d/(1 + 0) + (-805)/42?
12
Suppose -19*t + 72 = -4. What is the least common multiple of t and 922?
1844
Let z = 162179/116 + -1399. Calculate the common denominator of z and -97/128.
3712
Let v(h) = -h**3 + 16*h**2 - 4*h - 49. Let c be v(15). Suppose -c*b - 957 = -145*b. Let p(f) = 8*f + 5. Calculate the least common multiple of b and p(5).
495
Find the common denominator of -9 - 436/(-40) - (1 + 15/(-18)) and -5/78.
390
Let w = 34248 - 10993622/321. Let d = w - -20029/10272. What is the common denominator of -77/12 and d?
96
Suppose 10581 = 4*y + 3*n, 60*y + n - 2645 = 59*y. What is the lowest common multiple of 12 and y?
5292
Let d(o) = -o**3 + 3*o**2 - o - 234. Let x be d(0). What is the common denominator of ((-2)/(-36))/(2/93) and 2158/x*((-3)/2 - -1)?
36
What is the smallest common multiple of 63 and -9 + 1759 - 252/(-18)?
1764
Let d be ((-1011165)/(-495))/(98 - 0). Let g be 3 - (2 + 533/539). Let h = g - d. Calculate the common denominator of h and 32/9.
18
Let t(u) = 1 + 2*u**2 - u - 2*u + 4*u. Let p = -88 - -102. What is the lowest common multiple of t(-1) and p?
14
Suppose -2*d + m = -5, 4*m = d - 2 - 4. Suppose 1760 = 6*s - d*s. Find the common denominator of -47/16 and ((-410)/s)/(1 + -2).
176
Let c = 23/320 - -11371/960. Calculate the common denominator of c and 139/1752.
1752
Suppose -276 = -2*a - 10*a. Let b(m) = -m**2 + 23*m + 3. Calculate the least common multiple of 13 and b(a).
39
Calculate the common denominator of 3 - (-14)/20*-1 and 77/6.
30
Let l be 4/(-28) - (-15783)/231. Let v = 21103/330 - l. Let b = -10234 - -337663/33. What is the common denominator of v and b?
330
Calculate the common denominator of ((-42)/(-4))/(1422/(-66)) and (261/4)/(105/10).
1106
Suppose 178*j - 176*j - 140 = 4*c, j + 5*c - 35 = 0. Calculate the lowest common multiple of j and 150.
300
Let p = -1941/58 + 67/2. Let l = 36/203 - p. Calculate the common denominator of l and 61/10.
70
Calculate the least common multiple of 2552 and (-66354)/(-13) - ((-238)/91)/(-17).
5104
Suppose -9*x + 6*x + 30 = 0. What is the smallest common multiple of 28/((-24)/(-15) + 4/x) and 20?
140
Let h(y) = y**3 + 26*y**2 - 3*y - 31. Let n be h(-26). Let l = -51 + n. Calculate the common denominator of 621/(-264) - l/32 and -69/2.
22
Find the common denominator of (-3663)/1110 - 2/(2/5) and 13/3084.
15420
Let t(s) = 3*s - 7. Let v be t(4). Suppose 36 = 2*m - v*m. What is the least common multiple of 3 and ((-5)/(-2))/((-5)/m)?
6
What is the common denominator of (1*87/(-6))/(100*(-5)/10) and 53/(-30) + (-3)/(-15)?
300
Let f = -3600056/4995 - -3604/5. What is the common denominator of f and 23/333?
999
Let r(p) = -6*p**2 - 12*p - 61. Let d be r(-5). Let l = d - -1662/11. Calculate the common denominator of l and 9/2.
22
Let v = 11164 + -11144. Suppose 4*u - 29 = r, -5*u = -7*u + 5*r + 37. Calculate the smallest common multiple of u and v.
60
Let k(m) = 1251*m + 9. Suppose -2*i - 186 = -204. Let l be k(i). Let w = l - 383185/34. Calculate the common denominator of -103/14 and w.
238
Suppose 5*b + 2*d = 4*b - 37170, -12 = 3*d. Let h = 2973029/80 + b. What is the common denominator of h and -11/7?
560
Let g(h) = 2*h + 59. Let k be g(-32). Calculate the common denominator of (-104)/18 + -3 - k and -88/21.
63
Let q be (-3718)/(-77) - 3/((-21)/(-2)). Suppose 5*k = -3*r + 198, -12 = 9*r - 6*r. Let l = q - k. Calculate the least common multiple of l and 7.
42
Let b be (26/8)/(9/108). Let h = -42 + b. What is the common denominator of h/((-36)/22)*(-8)/24 and -41/24?
72
Let m be 1876255/(-240) + 1/(-2)*-8. Let o = 7814 + m. Calculate the common denominator of o and -87/16.
48
Let v(a) = 2*a**3 + 24*a**2 - 18*a + 51. What is the lowest common multiple of 3 and v(12)?
6747
Let l = 113 - 108. Suppose -5*d + 62 = 3*w, -4*d - l*w + 9 = -51. Suppose 0 = -a + 4, -n + 3*a = 3*n + 4. Calculate the smallest common multiple of d and n.
10
Let b be (435678/8)/(0 + (-2)/(-8)). Suppose r + b = 4*j, -4*j = 4*r - 3*r - 217849. Let x = 2614001/48 - j. Calculate the common denominator of x and -29/40.
240
Let u = 292 + -466. Calculate the common denominator of (2 - u/(-36))/5 and -13/35.
210
Let u = -2/59421 + 1960973/2376840. Find the common denominator of (2 + 115/2)/(-24) a