008. Let m = -18/347 - -7796/3123. What is the common denominator of b and m?
99
Let m(z) = 12*z - 3*z - 3*z. Let w be m(4). Suppose -f = -g - w, 4*f - 116 = -f + 3*g. Calculate the lowest common multiple of f and 8.
88
Let p = -1305 + 1832. What is the least common multiple of 3 and p?
1581
Suppose -3*w + 56 = -2*k, -4*k - 10 = -4*w + 66. Suppose 8*l - 22*l + 56 = 0. Calculate the lowest common multiple of l and w.
36
Let y = 31 + -49/2. Let v = -2672/5 + 740109/1385. Let p = v - 27907/2770. What is the common denominator of p and y?
10
Suppose 25*u = 40*u - 30. Calculate the smallest common multiple of 284 and u.
284
Suppose 12*v - 66 = 14*v. Calculate the common denominator of (11/v)/((-20)/(-202)) and -43/24.
120
Let z = 9/79 - 2767/711. Find the common denominator of z and 91/12.
36
Let x = -3058 - -171243/56. Find the common denominator of x and -73/10.
280
Let r = 5582 - 100501/18. Find the common denominator of r and (-442)/(-24) + 3740/(-340) - (7 - -1).
36
Suppose 2*r = 3*w - 1186, -3*r - w - 2517 + 749 = 0. Let u = r - -1155/2. Calculate the common denominator of 89/2 and u.
2
Let c = 1319 + -10565/8. Let z be 0 - (-2)/((-1872)/14). Let w = 1474/117 + z. Calculate the common denominator of w and c.
24
Suppose 49*l - 702 = 40*l. What is the lowest common multiple of 18 and l?
234
Let k be 2 + 9 + -2 - (5 + -5). Find the common denominator of 31/21 and 110/4*(1 - 7/k).
63
Let t(l) = -l**3 - 9*l**2 - l - 12. Let a be t(-9). Let k be (-27626)/2114*a/9. Let b = -1/906 - k. What is the common denominator of b and -79/10?
70
Let a be (-164)/(-3) + (-2 - 16/(-12)). Suppose -h = 2*h - a. What is the lowest common multiple of h and 15?
90
Let t = 2261 + -60997/27. Find the common denominator of 13/33 and t.
297
Suppose -2*z = z - j - 29, j + 40 = 4*z. Suppose 3*y - 16 = z. What is the lowest common multiple of y and 21?
63
Let u = 2/12079 - 495295/338212. What is the common denominator of u and -17/36?
252
Suppose 0 = 2*l - 0*l + 2*y - 20, 3*y = 4*l - 5. Suppose -5*q + l + 15 = 0. Let a(t) = -t**2 - 12*t - 20. What is the least common multiple of q and a(-8)?
12
Suppose 0 = -4*q + 4 + 4, 4*h - 78 = -q. Calculate the common denominator of (-2)/(-6)*h/2 and (-2)/15 - (-4)/(-15).
30
Let o = -4 + -27. Suppose -k - 54 = 2*r - 4*k, -3*k + 102 = -4*r. Let n = r - o. Calculate the smallest common multiple of 13 and n.
91
Let o(s) = s + 9. Let f be o(-6). Suppose 4*n - 10 = -f*j, -3*n - 2*n = -2*j - 24. Suppose 0*r - 64 = -n*r. What is the lowest common multiple of r and 14?
112
Let k = 32188 + -4538465/141. What is the common denominator of k and 22/3?
141
Let s(w) = 5*w**3 - w**2 + 3*w - 2. Let n be s(1). Suppose 0 = 3*b + i - 15, n*b - b - 13 = i. What is the lowest common multiple of b and 5?
20
Suppose 86 - 276 = 5*j. What is the common denominator of (j/110)/(2/(-10)*2) and 81/8?
88
Suppose 4*s + 32 = 24. What is the lowest common multiple of 4 and (7 - 9)*(0 + 90/s)?
180
Let k = 6332 - 76069/12. Calculate the common denominator of k and -55/118.
708
Calculate the common denominator of (-4)/12 - (-101)/399 and -19/12.
1596
Let l be (0 + 4/2)*11/(-2). Let n = 3 - l. What is the lowest common multiple of (-4)/10*(-150)/5 and n?
84
Suppose -y = 4*y - 50. Suppose 3*w = 20 + 16. Suppose -42 = -3*u - w. What is the lowest common multiple of y and u?
10
Suppose 10*g = 4 - 4. Suppose -j - 2*f + 10 = 0, f = -2*j - g*j + 23. What is the least common multiple of j and 44?
132
Suppose -d + 0*d = 5*h + 60, -3*h - d - 34 = 0. Suppose 4 = -4*b + t - 4*t, 2*b = -t. Find the common denominator of h and b.
1
Let j = -41 - -41. Let v(t) = t**2 - 2*t + 18. Calculate the least common multiple of v(j) and 6.
18
Suppose 4*f - 2*r - 652 = 0, -2*f + 475 = f - 5*r. Calculate the common denominator of -7/16 and -2 - (-2 + f/100).
80
Suppose -4*z = g - 1, 5*g + 4 + 8 = -3*z. Let m = -23 + 32. Suppose 2*p = m + 7. Calculate the least common multiple of p and z.
8
Suppose -5*s + 2*f + 2*f = -317, -2*s + 110 = 4*f. Let j = s - 43. Calculate the least common multiple of j and 20.
180
Let h = -6/25 - 9913/50. Let w = -183 - h. Let q = -36775/7 - -5262. Find the common denominator of q and w.
14
Let o = -25 - -5. Calculate the smallest common multiple of 1*o/25*-5 and 4.
4
Let u = 645 + -555. Calculate the smallest common multiple of 15 and u.
90
Let z = 224033/104220 - -2/5211. What is the common denominator of z and 87/80?
80
Let h = -29 - -880. Let i = -370 + h. What is the common denominator of (-1)/5 - i/(-455) and -26/5?
35
Suppose 0 = -b + 3*c + 14, 4*c = -5*b + 2 - 8. Suppose 2*o - 8 = 2*g, b*g + 24 = 3*o + 3*g. What is the least common multiple of 6 and (7/(-2))/(o/(-28))?
42
Suppose 98 = -2*p + 12*b - 10*b, 3*p + 143 = b. Let o = p - -48. What is the least common multiple of 9 and o?
9
What is the common denominator of -67/38 and 127/(-12) - (-4 + 6 + -2)?
228
Let s(o) = 2*o + 60. Suppose 112 = -18*k + 10*k. Calculate the least common multiple of 24 and s(k).
96
Let j = 538217 + -1314864157/2443. Let h = j - -97409/200326. Calculate the common denominator of -97/2 and h.
82
Let w(v) = -v**3 - 14*v**2 + 14*v - 12. Let r be w(-15). Suppose -6*x + 126 = -r*x. Calculate the lowest common multiple of 18 and x.
126
Let y be 3/(162/(-204987)) - (-3)/9. Let b = y + 3794. What is the common denominator of b and -19/30?
90
Suppose 3*i + 5*k = 14, 0 = i - 0*i + 3*k - 2. Calculate the smallest common multiple of i and 14.
56
Suppose 4*q = 48 + 84. Suppose 0 = 7*h + 12 - q. Calculate the least common multiple of h and 2.
6
Let m = 17283823/140 + -123455. What is the common denominator of m and -107/6?
420
Let d = -3278/5 - -19679/30. What is the common denominator of d and 119/20?
60
Let i = 2/44881 + -1167252/7764413. Let j = -7934/6747 - i. What is the common denominator of 14 and j?
39
Suppose 2*l + 3*u = -u - 10, -5*u = 5*l. Suppose -g = -6*g - l. Find the common denominator of g*(267/(-12) + -2) and -31/16.
16
Suppose -4 = -w + 1, -4*c = -3*w + 183. Let s = c - -50. Calculate the least common multiple of s and 7.
56
Calculate the smallest common multiple of 4 and 64/4*2/4.
8
Let b(z) = -2*z**2 - 8*z + 10. Let j be b(9). Calculate the common denominator of j/(-147)*6/8 and 37/6.
42
Let x = -9415 - -338909/36. Let j = 39273/8488 - 2/1061. Find the common denominator of x and j.
72
Let n be 1/(2 + (-94164)/49017). Let w = -73/129 + n. What is the common denominator of (-5)/(-10) - (-206)/36 and w?
90
Let f = -46559/57264 + 2/3579. Calculate the common denominator of f and -95/32.
32
Suppose 2*p - 3*p + 5 = x, -3*x + 11 = p. Let f = -1/35 + -131/315. What is the common denominator of f and p - 17*(-1)/(-3)?
9
Let q(m) = -m**3 - 4*m + 8 + 0*m + 6*m**2 + 11*m. Calculate the least common multiple of (2/(-6)*4 - -2)*27 and q(7).
72
Let a = -46 + 52. What is the least common multiple of a and 8?
24
Suppose 0*a + 5*a = 25. Suppose 0 = -a*u + 5 + 60. Suppose 2*c = 5*c + 2*w - 13, 2*c - 3*w = u. What is the least common multiple of c and 3?
15
Let g(v) = -v**2 - 23*v - 2. What is the least common multiple of g(-19) and 11?
814
Let k = -323 - -623/2. Let b(q) = -q**2 + 15*q + 2. Let t be b(15). What is the common denominator of t*(476/(-240) - (-2)/(-3)) and k?
10
Let i be 14*(-2 + (-81)/(-6)). Suppose -91 = -4*n + i. Let t = -879/14 + n. What is the common denominator of t and -79/8?
56
Let l = -5219/8 - -651. Let a = 1/90 - 2761/1440. What is the common denominator of a and l?
32
Let v(j) = j + 18. Let x be v(-9). Suppose 8*w = x*w + 1. Calculate the lowest common multiple of w/((-146)/48 - -3) and 2.
24
Let c = 5/648 + 617/81. Calculate the common denominator of 111/10 and c.
40
Suppose -16*i = -15*i - 46. What is the lowest common multiple of i and 2?
46
Let p = -1384 - -13939/10. Let x = 4923/1562 - -57/71. What is the common denominator of x and p?
110
Let b be (-4 - -5)/((-2)/6). Let i be (14/b)/(1/(-3)). What is the lowest common multiple of 3 and (-4)/i - 195/(-21)?
9
Let n be (12/18)/(6/(-27)). Find the common denominator of -97/6 and 4 + (-515)/20 + n.
12
Let n be (-9)/(-12) + 748198/64. Let b = 11693 - n. What is the common denominator of 89/10 and b?
160
Let f = -495341/20 - -24772. What is the common denominator of f and 9231/4760 + 4/14?
40
Let l(h) = 5*h - 51. What is 