Let t = x + 209/14. What is the common denominator of t and (188/96)/((81/18)/(-9))?
12
Suppose -10 = -5*r + 10. Let l(c) = -6*c + 46. Let i(t) = -t**3 + 8*t**2 + 22*t - 27. Let k be i(10). What is the least common multiple of r and l(k)?
88
What is the lowest common multiple of 9 and (-10)/(-5) + (562 - -45)?
1827
Suppose 0 = 2*f - 3*j + 4 + 5, -2*f + 5*j - 7 = 0. Let q(h) = -18*h - 36. What is the lowest common multiple of 36 and q(f)?
72
Let b be 4 + 0 - (12 + 22). What is the common denominator of (392/30 - -2)/(160/b) and -93/8?
40
Suppose 0 = 4*o - 2*h - 453 - 777, -3*o - h + 920 = 0. Let r = 36 + -27. What is the least common multiple of o and r?
2763
Let p = 834/79 - 49741/4345. What is the common denominator of p and 19/5?
55
Suppose 21*y = 97 + 197. Calculate the lowest common multiple of 208 and y.
1456
Suppose 3*z - 101 = 5*f, 3*f = -2*z - z - 51. Let a = f - -32. Suppose 55 = a*t - 8*t. What is the smallest common multiple of t and 5?
55
Let n be (-3)/(4/(64/(-12))). Let z = -55 + 85. Suppose -3*a = 5*m - z, 2*m + a = -n*a - 7. Calculate the smallest common multiple of 5 and m.
45
Let p = 992/41 + -13421/492. Calculate the common denominator of 151/34632 and p.
34632
Suppose 5*z - 5*x = 290, 0 = -z - 3*x + 17 + 29. What is the common denominator of ((-50)/z)/((-3)/(-12)) and -3 - (-9)/48*-22?
88
Let o = -22489 + 3238451/144. Calculate the common denominator of o and -151/840.
5040
Let f = 43858551 - 2280373773/52. Let g = f - 5209. Calculate the common denominator of 86/4 + 1/4 and g.
52
Let l be ((387/24)/(-3))/((-198)/(-748)). Let j = l + 115/6. What is the common denominator of -22/87 and j?
1044
Let x = 24/128159 + 12911083/176090466. Calculate the common denominator of -31/22 and x.
15114
Let u(i) = i**3 - 9*i**2 - 13*i + 3. Let v be u(10). Suppose -5*c + 484 = -476. What is the smallest common multiple of c and v/((-1)/(-6)*-9)?
576
Let r = -59 - -64. Suppose 3*t + r*h - h - 12 = 0, -4*t - 5*h + 16 = 0. What is the lowest common multiple of t/10 - (-2220)/75 and 3?
30
Let q = -7 - -13. Let n = 2 + q. Let p(x) = x**2 - 160*x - 2949. What is the least common multiple of p(-17) and n?
120
Let d = 168157/498800 - -1/11600. Let p = d - 496/387. What is the common denominator of 1660/(-600) - -1*(-1)/3 and p?
90
Let p = -30 - -17. Let k be 1/(-312)*-2863241 - 2/p. Let u = 9175 - k. What is the common denominator of 13/3 and u?
24
Calculate the common denominator of (-284240)/(-36784) + ((0 - 1) + -4)/1 and 31/22.
22
Let x(b) = 3*b**2 + 20*b + 36. Calculate the lowest common multiple of 236 and x(0).
2124
Calculate the common denominator of (-615)/164 + 753/168 and -24/203.
1624
Suppose 0 = -2*z + 7*d - 10*d - 13, 5*d = -z - 17. Calculate the smallest common multiple of 1 + 26 + 8/z and (1 - 2)/((-3)/3).
23
Let h be 165/66*24/2. Calculate the least common multiple of -5*(-2 + 14/(-5)) and ((-8)/(-5))/(-2 + 64/h).
24
What is the least common multiple of 605 and 13/(-52) - (-1 + (-5)/(-4))*-3389?
4235
Let z = -253782 - -11420179/45. Let q = 35757 + -1394447/39. Calculate the common denominator of z and q.
585
Suppose -4*b = -6*h + 7*h - 4, 3*b + h = 3. Let n(z) = 14*z**2 + 2*z. Calculate the least common multiple of n(b) and 2*5 + -22 + 22.
80
Suppose -2706 - 30 = -228*a. Calculate the smallest common multiple of 102/4 + 2/4 and a.
156
Suppose 3*l + r + 10 = 0, 0 = 2*l - 0*r - r + 10. Let n be ((-6)/(-4))/(36/(-144)). What is the least common multiple of n/l*(-32)/(-3) and 14?
112
Suppose 5 = -6*u - 73. What is the common denominator of u and 7 - (-7)/(98/(-194)) - -1?
7
Let a = -339 - -1973. Suppose -a = l - 0*l. Let j = l - -16361/10. What is the common denominator of 3/16 and j?
80
Let f be 2 - (1 - 3)*-1. Let n(g) = -g + 4. Let a = -1388 - -1410. Calculate the smallest common multiple of a and n(f).
44
Let d(f) = -f**3 - 32*f**2 - 30*f + 30. Let p = 29 + -60. Let k be d(p). Calculate the common denominator of 79/24 and (-296)/(-42) - (4 - k).
168
Let x = -2/11293 - 157812/1637485. Find the common denominator of 11/1334 and x.
6670
Suppose 3*k - u = -716, -558 + 1538 = -4*k - 5*u. What is the least common multiple of (18/5 - 3)*30 and (1/(-3))/(5/k)?
144
Let l = 824740 - 2449477759/2970. Calculate the common denominator of l and 125/2376.
11880
What is the common denominator of 53/12 and ((-153629)/(-12699) + -12)*(27/6 - 3)?
996
Suppose -b - 107 = -116. Let a(k) = k**2 - 4*k + 5. Suppose -5*n + 23 = -2. Calculate the least common multiple of b and a(n).
90
Let p = 16330/21 + -779. Let h be (-4)/6 + (-5)/(-3). What is the common denominator of p and 0/h - 110/270?
189
Let m = 14/2757 + 8063/1488780. What is the common denominator of m and -179/1620?
1620
Let t be (-9)/6*1 + 15/2. Let y be (t/(-5))/((-30)/1900). Suppose y = 5*i + 4*q, 2*i - 5*q = -0*q + 37. Calculate the least common multiple of i and 30.
240
Suppose 0 = 2*m - 5*g - 8, -64*g + 68*g = -4*m + 16. What is the least common multiple of 122 and m?
244
Let g = -1/2766 + 30889/5532. Let t = 84767/48 + -3529/2. Calculate the common denominator of t and g.
48
Suppose 4*a + 4 + 2 = 2*x, 12 = 4*a + 4*x. Suppose -4*d + 6*d + 5*d = a. Suppose -4*t + 40 + 32 = d. Calculate the least common multiple of 16 and t.
144
Suppose -5*b + 479 - 1565 = g, b = 4*g - 234. Let h = 342 + b. What is the smallest common multiple of h and 8?
248
Let b be (-258241)/70 + 29/(-145). Let f = -3685 - b. Calculate the common denominator of f and 179/120.
840
Let z = 8173 - 7965. Calculate the lowest common multiple of z and 56.
1456
Let s be 1375/(-30)*(35 + -2). Let y = 1485 + s. What is the common denominator of 210/48 - (-6 + (7 - 7)) and y?
8
Let a(l) = -8*l**3 + 8*l**2 - 85*l - 561. Calculate the lowest common multiple of 2 and a(-7).
3170
Let k(v) = -10*v**2 - 432 - 4*v**2 + 2*v**3 + 235 - 2*v + 219. Calculate the lowest common multiple of k(7) and 431.
3448
Suppose 4*y - 30 = 9*y. Find the common denominator of (-5450)/1100 - y/4 and 15/127.
1397
Suppose -3*u = -2*b - 73, 5*b = -u - 7 + 3. Suppose -u = 6*l - 273. What is the smallest common multiple of l and 24?
168
Suppose 3*k + 4*d = -83377, 2*k = -5*d - 49525 - 6062. Let o = -2223233/80 - k. Calculate the common denominator of 37/32 and o.
160
Suppose 0 = 2*f + 439 - 1459. Let j = f - 285. Suppose -11*q - 71 = -j. What is the least common multiple of 10 and q?
70
Let x(l) = 212*l - 2324. What is the lowest common multiple of 12 and x(11)?
24
Let s = 58852/7 - 8403. Calculate the common denominator of -17/193 and s.
1351
Let q = 14149 - 14069. What is the lowest common multiple of 6 and q?
240
Suppose 4*s + 65 = 5*h, 5*s = -2*h - 13 + 6. Find the common denominator of 1566/(-588) + h/15*5 and 2/77.
1078
Let s be 1 + -3 + (4 + -14)/(-1). Find the common denominator of 62/48 + 32/(s + -16) and 11/15.
120
Let l = -5981/732 + 1/244. Let c(t) = 3*t**2 - 63*t + 16. Let d be c(22). Calculate the common denominator of l and (-2)/((-8)/d) - 176/(-88).
6
Let w = 355 - 179. What is the lowest common multiple of 112 and w?
1232
Let a be 1*6*174/18. Let j = 62 - a. Suppose -w = -j*n + 36 + 25, -75 = -5*n + w. What is the least common multiple of 6 and n?
42
Let q = -2/122639 + -1101973/109026071. Calculate the common denominator of q and -101/254.
1778
Calculate the common denominator of -99/5594 and ((-175)/21)/((-19)/(-3) - 882/98).
22376
Suppose -486*d + 493*d - 35 = 0. What is the lowest common multiple of -4 + 40/d - -1 and 20?
20
Let g = 29657 - 29423. What is the lowest common multiple of 1332 and g?
17316
Let k = 11295 + -11208. What is the least common multiple of 246 and k?
7134
Let k be 2/6 - 1/((-25212)/79352). Let s = -5/191 + k. Find the common denominator of s and -37/10.
110
Let d = -12554633/12744 + 7881/8. Find the common denominator of 22/885 and d.
7965
Find the common denominator of ((-3)/(462*1))/(72*(-12)/(-28476)) and -145/288.
3168
Let w(x) = -162*x - 14. Let g be -5 + (0 - 2/(-2)). Let f be w(g). Let d = f + -3667/6. Find the common denominator of 29/21 and d.
42
Let q = -99 - -207. Let d = q - 92. What is the lowest common multiple of d and 14?
112
Let a(f) = f**3 + f**2 - 2*f + 3. Let n be (-3)/(-1 - -1 - 1). Let x = -22920 - -22950. Calculate the least common multiple of x and a(n).
330
Let m = 56/22605 - 2/137. Let b be 9