the common denominator of (-69)/(-12) + a + -2 and -4 + 0 - (-51)/(-8)?
8
Let c = -7 + 19. Let k be (-4 + 6)*1*1. Suppose 0 = k*h + 14 - 54. What is the lowest common multiple of c and h?
60
Let n be 20*(4 + 7/(-2)). Calculate the common denominator of (3/n)/((-21)/364) and 5/9.
45
Let d = -88 - -86. Calculate the lowest common multiple of 3 + (1 + d - (-9)/9) and 24.
24
Calculate the smallest common multiple of 19 - 8 - 8 - -30 and 12.
132
Let f(j) = -13*j - 8. Let o be f(4). Let n = -36 - o. Calculate the smallest common multiple of 18 and n.
72
Suppose 3 + 42 = 3*t. Suppose -6*n + 99 - t = 0. Calculate the smallest common multiple of 10 and n.
70
Let x(a) = -2*a**2 - 66*a - 44. Suppose -5*q = 4*p - 36, -2*p + 0*p = 4*q - 12. Calculate the smallest common multiple of x(-32) and p.
140
Let d = -255243529/2234 + 114254. What is the common denominator of -83/12 and d?
13404
Suppose -20 - 52 = -3*j. Let k = j + -20. What is the common denominator of -67/16 and 356/40 - -1 - k?
80
Let u(f) = f**2 + 2*f - 7. Calculate the smallest common multiple of (7584/(-176) - -43) + 23/11 and u(-5).
8
Suppose -10*k + 7*k = 27. Let d(z) = -z**3 - 9*z**2 - z - 1. What is the least common multiple of 8 and d(k)?
8
Suppose -16336 - 21476 = -4*z. Let g = z - 283483/30. Find the common denominator of -41/3 and g.
30
Calculate the lowest common multiple of 32*12/(-72)*(-54)/8 and 108.
108
Let q = -1288 + 1302. What is the smallest common multiple of q and 8?
56
Find the common denominator of (2/(-80))/((-291)/1552) and (-1)/(-10)*(-670)/24.
120
Let t be 300/21 - 2/7. Suppose 72 = -6*o - 12. What is the least common multiple of (-256)/o + (-4)/t and 18?
18
Let f(k) = -11*k + 1. Let v be f(1). Calculate the least common multiple of v/(-4)*(-44)/(-55) and 1 + (-30)/36 - 95/(-6).
16
Let i be 1/(-8) + 93863/56 - -4. What is the common denominator of 121/24 and (-3178)/i - 1*2/5?
24
Suppose 3*c + 2*z - 55 = 0, -4*z + 21 + 21 = 2*c. What is the least common multiple of 5 and c?
85
Let j(a) = 2*a**2 + 2*a - 45. Calculate the smallest common multiple of j(-6) and 30.
30
Let z be 2/(0/(-2) + 1). Let f(x) = -2*x - x**3 - 2*x**2 + x**3 + x + 4*x**3. What is the smallest common multiple of 18 and f(z)?
198
Let c = 31 - 25. Find the common denominator of c/21 + 2/((-378)/1461) and 11/12.
36
Suppose 3*r + 18 - 6 = 4*g, 2*g - 6 = -5*r. Calculate the least common multiple of g and 13.
39
Let h = 26 - 21. Suppose 8 = -h*q - 2. What is the lowest common multiple of ((-2)/(-5))/(q/(-5)) and 11?
11
Let m be (-6)/21 - (-234020)/(-112). Let j = m - -2113. Find the common denominator of 103/6 and j.
12
Suppose 9*q + 2*r - 73230 = 5*q, 4*q = 3*r + 73225. Let d = -402653/22 + q. Let u = -77837/16 + 4863. What is the common denominator of d and u?
176
Let s be (6 - (10 - 5)) + (-2014)/2017. Let y = -80599/54459 - s. What is the common denominator of -59/27 and y?
27
Let w = 202 + -197. Calculate the least common multiple of w and 20.
20
Suppose 2*r = 5*a - 79 + 5, -2*a + 3*r + 23 = 0. Calculate the smallest common multiple of a and 44.
176
Let j = 115/2 + -70. Suppose 7*g - 3*g - 144 = 0. Let a = -20 + g. Calculate the common denominator of j and a.
2
Find the common denominator of 27/5 and 1*1/4 + 328/1640.
20
Suppose -12 - 6 = f. What is the least common multiple of ((-10)/4)/(9/f) and 10?
10
Calculate the common denominator of 714/720 + 0 + (-2)/3 and -55/7.
280
Suppose -u + 5*g - 66 = 0, 5*u + 2*g = -466 + 109. Find the common denominator of (-1)/(-2) + u/(-16) and 2 + 5 + 182/(-4).
16
Suppose 0 = -4*i - 5*l + 4*l + 63, 0 = i - 5*l - 21. Calculate the smallest common multiple of 3 and i.
48
Let l(m) = -30*m - 200. Calculate the least common multiple of l(-7) and 400.
400
Suppose -2*r + 6 = -178. What is the lowest common multiple of 1 and r?
92
Let k = 35275/36 + -978. Calculate the common denominator of -131/24 and k.
72
Let z = 18267/10 + -1824. Find the common denominator of 19/176 and z.
880
Let d = 2804 + -7149. Let i = d + 17297/4. Calculate the common denominator of i and 290/24 - 2/(-8).
12
Let d = 14 + 10. Calculate the common denominator of (-482)/12 - (-16)/d and (-5 - 1)*45/20.
2
Find the common denominator of -131/6 and ((-18)/(-20))/((-3996)/(-2250)).
444
What is the common denominator of 19/5 and (0 - ((-144)/150 + -1))*1?
25
Let u = 271 + -243. Calculate the lowest common multiple of 32 and u.
224
What is the common denominator of 41/36 and (-1090)/(-540) + 4/18?
108
Let f be 35*(0 + (-12)/10). Let t = -26 - f. Suppose 4*j - t = 6*x - 2*x, 20 = 5*x + 3*j. What is the lowest common multiple of 8 and x?
8
Let s = 93 + -86. Suppose k - 5*g - 22 = 0, 3*k - k + 3*g + 8 = 0. Calculate the least common multiple of s and k.
14
Let o = -6/307 - -2365/11052. Find the common denominator of -55/4 and o.
36
Let x be ((-26)/(-3))/(12/(-54)). Let s = x + 61. Let w(a) = 3*a + 1. What is the least common multiple of w(3) and s?
110
Let a = 71 + -52. Let m(r) = r**2 - 18*r - 18. What is the smallest common multiple of 1 and m(a)?
1
What is the common denominator of -1/45 and ((-142)/3)/((-900)/27) + -3?
450
Let d = -22 + 18. Let c(p) = -2*p - 4. Let s be c(d). Suppose -8*t = -s*t - 64. What is the smallest common multiple of 9 and t?
144
Let m = -16 + 30. Suppose 4*a = -b + 18, 4*b - 38 = -3*a + 34. Calculate the least common multiple of m and (b/15)/((-24)/(-80)).
28
Let i be (1720030/(-15816))/(-5) + -2. Let h = 36009079/1977 - 18214. Let n = i - h. What is the common denominator of n and 37/18?
36
Let h = 1998 - 53953/27. Calculate the common denominator of 115/72 and h.
216
Suppose 0 = -13*b + b + 48. Suppose -3*i + 2*i = l - 20, 4*l - 40 = -2*i. What is the lowest common multiple of i and b?
20
Let h = 1238/3 - 17281/42. Let z = -357323/540 + 21256/27. Let d = 1307/10 - z. What is the common denominator of d and h?
140
Let h = 76 + -54. Let w be ((-36)/44 - -1) + 72/(-33). Calculate the lowest common multiple of h and ((-28)/(-8) + w)/((-3)/(-16)).
88
Let w(v) = -2*v**2 + 14*v - 7. Let l be w(6). Suppose l*b - 4*b = -4. What is the least common multiple of 14/1 + b/2 and 4?
12
Let j = 1/606 - -18119/36966. Let v = j - -5677/488. Calculate the common denominator of -87/4 and v.
8
Suppose 5*z = -12*z + 136. What is the smallest common multiple of z and 184/10 - 14/35?
72
Let o = 365/279 + -8/93. What is the common denominator of o and -71/723?
2169
Let u be (-6)/8 + (-949977)/(-686340). Let q = u - 1/1271. Calculate the common denominator of -131/6 and q.
30
Let w = 9 - 7. Suppose -56 = -w*r - h - 3*h, 3*h = -r + 32. What is the smallest common multiple of 3/6*(-4 + r) and 12?
24
Let a = 9 - -13. Suppose q + 14 = -7. What is the smallest common multiple of -21*(39/q + 1) and a?
198
Suppose 9 = -5*y + 6*y. Find the common denominator of (3/y)/(1/(-141)) and 1/(8/(-6)) - -1.
4
What is the least common multiple of 8 and 41*((-54)/63)/((-2)/56)?
984
Let j = -1/1113 + -49319/26712. What is the common denominator of 55/27 and j?
216
Let h = -1044 - -37595/36. What is the common denominator of h and -14/9?
36
Let h = -396/23 + 6821/483. What is the common denominator of h and -161/30?
210
Suppose 5*n = 285 + 180. Calculate the lowest common multiple of n and 6.
186
Let w = -956 + 960. Calculate the least common multiple of w and 1740.
1740
Calculate the smallest common multiple of 3 + ((-2 - 5) + 8)*17 and 92.
460
Suppose 4*r + 152 = 2*b, 2*r - 92 = -3*b + 2*b. Suppose -16 = -b*i + 80*i. Calculate the smallest common multiple of 2 and i.
4
Suppose -j - 1 = -18. Suppose 13*y = j*y - 80. Suppose 0 = 2*c - 0*c - 32. What is the lowest common multiple of y and c?
80
Calculate the common denominator of -56/33 and (1/(-308)*-7)/(9/(-948)).
33
Let c be ((-1)/(-1) - (1 + 2)) + -10. Calculate the smallest common multiple of 10 and (-158)/(-8) + c/(-48).
20
Let r(k) = 2*k**2 + 10*k - 43. Calculate the least common multiple of 11 and r(5).
627
Suppose -3*o + 6*o - 15 = 0. Suppose -o*n - 4*g = -55, n - 2*n + 2 = -g. Calculate the least common multiple of 3 and n.
21
Suppose u + 5*g - 5 = 0, -2*u + 0 = -5*g + 5. Suppose -4*o + 72 + 36 = -5*d, -o - 4*d + 48 = u. What is the least common multiple of 14 and o?
224
Let b be (-81)/6*(-2 + 3 - -3). What is the common denominator of 1 + (-131)/10 - -1 and 131