0
Let a(d) = -d**2 - 39*d - 122. Calculate the least common multiple of a(-35) and 136.
1224
Suppose -3*r = r + 16. Calculate the common denominator of ((-6)/(-69))/(r/(-8)) and -4.
23
Suppose -24 = -c - 5*f, -15 - 9 = -3*c - 3*f. Suppose 2*d - c*s = 5*d + 11, -4*d + 4*s + 32 = 0. Calculate the least common multiple of d and 5.
15
What is the common denominator of 11/108 and 11/(-44) - 52/432*-7?
108
Let l = 2519/46168 + -10/199. Find the common denominator of -113/28 and l.
1624
Let t = 38 - 35. Find the common denominator of (-90)/21 - (4 - 4) and t/(-18) + 968/336.
7
Let o(t) = t**3 + 15*t**2 - 38*t + 58. What is the smallest common multiple of o(-17) and 36?
252
Let u = -2201/330 + 806831/330. Let l = 7228 - 4786. Let n = l - u. Find the common denominator of n and -115/6.
66
Let w = 9/55 - -3649/220. Find the common denominator of 213/42 - 3/(6 - 7) and w.
28
What is the common denominator of -2/155 and (-2)/13 - 3038/1040?
1240
Let b(z) = z**3 - 5*z**2 + 5*z + 1. Let s be ((-5)/(-2))/((-6)/(-12)). Calculate the lowest common multiple of 1 and b(s).
26
What is the smallest common multiple of 12 and (-5)/(-40)*6*4?
12
Suppose -3*p + 81 = 5*f, 0*f + 2*p - 34 = -2*f. Let h be ((0 + f)/(-3))/(-1). Let i = h - -4. What is the smallest common multiple of 8 and i?
72
What is the smallest common multiple of 4 and -1 + (-38)/(-4) + 3/(-6)?
8
Let n = -5647/11 - -513. Calculate the common denominator of n and (-2)/(-4) + (-75)/2.
11
Suppose -w - 3 = -7. Suppose -b + 30 = w*b. Let y = 2 - -16. Calculate the lowest common multiple of y and b.
18
Find the common denominator of -2/3 and (-1)/(-126)*-83 + (-3)/(-6).
63
Let n = -4 + 20. Let t be (-3)/(-6 + 3)*3. Suppose i - t - 5 = 0. What is the smallest common multiple of i and n?
16
Let q = -1 + 19. Suppose 5*w - 5 = -15. What is the least common multiple of (3/(-2))/(-3) - 39/w and q?
180
Suppose 5*i - 80 + 20 = 0. Suppose 2*y = y + 1. Calculate the least common multiple of (y/(-3))/((-7)/210) and i.
60
What is the least common multiple of 30 and 3*-1 + (-5 - -23)?
30
Let m = 2052 + -2004. What is the smallest common multiple of 12 and m?
48
Let d = 3023/58 - 76/29. Suppose -4*y + 855 + 497 = 0. Let j = 649/2 - y. Calculate the common denominator of d and j.
2
Let r = -62 - -171. Let u = -98 + r. Calculate the least common multiple of u and 9.
99
Let f = -13260 + 450765/34. Find the common denominator of f and ((-266)/15)/(48/(-30)).
204
Suppose -6 = -5*a + 4*a. Let g(f) = 122*f - 7. Let b be g(1). Let x = b + -105. Calculate the least common multiple of x and a.
30
Find the common denominator of (6/(-35))/(56/1890) and -23/42.
42
What is the least common multiple of (-444)/740 + (-86)/20*-2 and 15?
120
Calculate the lowest common multiple of 200 and 7836/56 + 4/(-168)*-3.
1400
Let n = 2116 - 101579/48. Calculate the common denominator of -79/6 and n.
48
Let u = 1122057/56 + -20031. Let l = u - 3/28. What is the common denominator of 83/4 and l?
8
Let p = -13913105/512 + 27174. Find the common denominator of -79/28 and p.
3584
Let j be 7*-40 + (-2 - 0). Calculate the common denominator of 12/23 and (j/(-8))/(24/16).
46
Let y = -22529 - -676039/30. What is the common denominator of y and -35/9?
90
Suppose -z + 2325 = -u, -u - z - 2349 = 4*z. Let s = u - -18591/8. Find the common denominator of s and 7/3.
24
Suppose -2949 = -13*d - 89. Calculate the smallest common multiple of d and 140.
1540
Suppose -3*w - 5 = 7. Let j(q) = -q**3 - 4*q**2 - 3*q. Let b be j(w). What is the common denominator of (-255)/b - (5 - 1) and -51/14?
28
Let n(g) = g + 8. Let f be n(-6). Let u be 2/2 - 1828/f. Find the common denominator of 3/10 and u/(-18) + 12/(-54).
10
Suppose -3*b + 112 = 4*x - 8*b, -84 = -3*x + b. Calculate the lowest common multiple of x and 14.
28
What is the common denominator of -137/84 and (-306)/36*-1*(0 - -2)?
84
Let c = 16 - 20. Calculate the smallest common multiple of 12 and 1 - (-2)/c*-2.
12
Let y(q) = -q**3 + 13*q**2 - 13*q + 49. Calculate the lowest common multiple of y(9) and 4.
256
Let o be 2412 + -1 + (2 - 1). Let t = -16937/7 + o. What is the common denominator of (-267)/18*(-27)/36 and t?
56
Let p = 10 - 9. Find the common denominator of (-3)/((-36)/38) + (1 - p) and 2/11.
66
Let z be 897/(-33) - (-10)/55. Let m = z - -34. What is the lowest common multiple of 6 and m?
42
Suppose 0 = 2*p, h - 4*p + p - 24 = 0. Suppose 3*v - 2*l - h = 32, -68 = -3*v - 4*l. Suppose 2*i = 3*i - 20. What is the least common multiple of v and i?
20
Let h(k) = -k**2 + 6*k - 6. Let f be h(4). Suppose -4*d - 18 = -f*z + 8, 0 = 3*z + 5*d + 5. Calculate the lowest common multiple of 14 and (60/(-25))/((-2)/z).
42
Let d be 19602996/(-3439080) + 1/(-1). Let z = d + 2/28659. Let h = -2649/500 - -6/125. Find the common denominator of z and h.
20
Calculate the least common multiple of 104 and 7 + 745*12/60.
312
Suppose 0 = 3*z - 5*l - 430 - 550, -5*z + 1652 = l. What is the lowest common multiple of 14 and z?
2310
Let w = 53653/1490760 - -1/8282. What is the common denominator of -173/90 and w?
360
Find the common denominator of ((-510)/(-18))/(176/(-12)) and 45/68.
748
Suppose 0*t = 2*t - 576. What is the lowest common multiple of t and 165/11 - (0 + -1)?
288
Suppose -2*t - n = -10, 3*t - 20 = -14*n + 10*n. Let x(v) = v**2 + 8*v + 3. Let w be x(-6). Calculate the least common multiple of t and ((-4)/3)/(6/w).
4
Suppose -674 - 180 = -7*q. Calculate the lowest common multiple of q and 14.
854
Let h = -9232291/110 - -83929. What is the common denominator of h and 14/55?
110
Suppose q = -g - 12, 5*g - 2*q + 54 = -34. Let u be g/72 + 20/9. Suppose -u*p + 28 = 4*c - 4*p, 0 = 2*p - 4. Calculate the least common multiple of c and 3.
24
Let a = -35 + 37. Let i be 3 + (a*27)/(-2). Calculate the common denominator of 7/9 and ((-54)/i)/(1/(-3)).
36
Let g = 3924 + -7407/2. Let r = g - 2623/12. Find the common denominator of r and -127/6.
12
Suppose -4*l - 5*r - 19 = -8*l, 3*l + 2*r + 3 = 0. What is the smallest common multiple of 14 and 12/(-10)*(l + -11)?
84
Let v(g) = -5*g + 1. Let x be v(1). What is the lowest common multiple of 10 and (3/x - 30/(-24))*20?
10
Suppose 54*n - 55*n + 180 = 0. What is the least common multiple of 8 and n?
360
Suppose 4*h - 3*s - 1 = 23, 4*s = 2*h - 22. What is the lowest common multiple of h and ((-42)/5)/(129/(-430))?
84
Let h = 18/11 - -284/55. Let o(q) = -q**2 + 11*q - 15. Let j be o(10). What is the common denominator of h and 2/j + 24/(-16)?
10
Suppose 5*d + 176 = -4*c, -5*d + 6*c - 148 = 3*c. Find the common denominator of 97/70 and (244/d + 1)/(3/(-4)).
210
Let o = -131779/16 - -8241. Let p(r) = r**2 + 4*r - 4. Let a be p(-5). What is the common denominator of o and 1 + a*(-202)/(-20)?
80
Find the common denominator of -7/9 and (-744)/189 - -8 - 3.
63
Suppose -3*a + 5*a - 24 = 0. Let z be (a/(-3) - -3) + 31. Suppose -2*l = 4*j - z, 0 = l + 2*l + 2*j - 33. Calculate the lowest common multiple of l and 8.
72
Suppose 2*v = -4*h - 2*v - 40, -3*v = -2*h. Let q = h + 8. Suppose -q*u - u = -9. What is the lowest common multiple of 6 and u?
6
Let s = 12 + -17. Let w(h) = h + 9. What is the lowest common multiple of (1 + -2)/((-5)/15) and w(s)?
12
Let j(c) = -c**3 + 6*c**2 - 2*c + 3. Let h be j(5). Let v be -2 + h*139/2. Let w = v + -19957/16. Find the common denominator of w and 93/20.
80
Let g = -31 + 28. What is the least common multiple of 22 and -1 + 22 + g + 4?
22
Let f(a) = a**2 - 5*a + 8. Suppose 0 = 4*v + 8*g - 11*g - 100, 2*v - 40 = 4*g. Calculate the smallest common multiple of f(6) and v.
28
Let q(y) = 107*y + 87*y + 89*y - 1. Let z be q(-8). Let v = -9127/4 - z. Find the common denominator of -23/9 and v.
36
Let c = -8 - -15. Let v(i) = -2*i + 14. Let j be v(7). Suppose -5*p + 7*p - 14 = j. What is the smallest common multiple of p and c?
7
Let k be (-9)/(-2)*(-8)/(-554). Let q = -28373/6094 + k. Let p = 130389/22 - 5922. What is the common denominator of p and q?
22
Let p be ((-10)/8)/((-5)/(-20)). What is the common denominator of -43/5 and 12/(-45)*(p - -45)?
15
Suppose -3*a = -2*j + 9, -5*a + 10*a - 4 = -3*j. Suppose h - 76 = -3*n, -h + 64 = j*n - 3*h. Calculate the lowest common multiple of n and 12.
24
Suppose 8 = 2*f - 4*g, -3*g - 4 - 5 = -2*f. Let r = 14 - -11. Suppose 25 = 5*p