se -18 = a - 18. Suppose a = -4*h - r + 73, -r + 91 = h + 4*h. What is the least common multiple of 9 and h?
18
Let m = -753/4 + 184. Calculate the common denominator of m and (-4)/(-2) + (-31)/(-6).
12
Let u be -1 + 230/94 - 4. Let g = u - -587/1316. Calculate the common denominator of 115/14 and g.
28
Suppose -2*k = -5*s + 88, -6*s + 5*k + 84 = -2*s. What is the smallest common multiple of s and 22?
176
Suppose -2*h + 2*q - 3*q = -20, h - 1 = 4*q. Let c(i) = i**3 - 2*i**2 - 6*i + 4. What is the lowest common multiple of c(4) and h?
36
Let p(z) = z**2 - 8*z + 5. Let q be p(7). What is the lowest common multiple of 1 + (-1 - -6) + q and 9 + 2 + -4 + 0?
28
Let l be ((-6)/4 + 2)*12. Suppose 0 = -4*n + 3*o - 18, 2*o + l = -4*n - o. Calculate the least common multiple of 8 and (n - (-1)/(-2))*-2.
56
Suppose -5*p - 2*a = -188, 0 = 3*a + 7 - 4. What is the lowest common multiple of 14 and p?
266
Let z = 7211/94686 + -10/129. Let m = z + 5163/18350. Calculate the common denominator of -53/20 and m.
100
Let a be (24/30)/((-1)/(-25)). Let m be (-8)/a + 44/10. Suppose 23 = m*n - n - v, 4 = n - 4*v. What is the least common multiple of 20 and n?
40
Suppose -52 = -4*k - 5*a, -2*k = -8*a + 4*a. Let y = 75 - 53. Calculate the smallest common multiple of k and y.
88
Let y(q) = -2*q - 2. Let a be y(-1). Suppose a = 2*b + 4*f - 40, 44 = 3*b - f - 16. Let c(o) = o**2 + 6. What is the smallest common multiple of b and c(0)?
60
Suppose -11*p = -270 - 500. What is the smallest common multiple of 42 and p?
210
Suppose d - 4*d = -6. Let j(s) = 8 - 2*s**2 - 6*s**2 + 2*s**3 - 3*s**3 + 9*s. What is the smallest common multiple of j(-9) and d?
8
Suppose -2*o = 2*o - 20. Suppose o*d = -2*v - 33, -3*v + 4*d = 9*d + 37. What is the common denominator of 2/v + 66/(-18) and -47/7?
42
Let k(z) = 13*z + 6. Let c be k(-4). Let w = c - -54. What is the least common multiple of 58 and w?
232
Let s be 22/6*-6*(-2)/(-124). Let z = s - -859/62. Find the common denominator of 45/4 and z.
4
Calculate the common denominator of 83/(-72) + 20 + -19 and -107/198.
792
Let n(z) = -z - 1. Let g be 1/(-2) - 7/(-2). Suppose -4*x + 2*j = g*j - 88, 5*j = 0. Calculate the smallest common multiple of x and n(-3).
22
Let q(s) = -7*s**2 - s + 5. Let y be q(3). What is the common denominator of 43/4 and (y/27)/((-2)/6)?
36
Let t = 18 + -44. What is the lowest common multiple of 10 and (-4)/26 + (-524)/t - 2?
90
Let d = -78833/4 - -19709. Calculate the common denominator of (46/(-33))/(4/3) and d.
44
Let x = 5941547/6 + -995467. Let k = -5233 - x. Calculate the common denominator of k and -97/34.
102
Suppose 4*b + 658 = -2*p, 4*p + b = -0*b - 1330. Let d = p - -228. Calculate the common denominator of -83/4 and ((-7)/d)/(2/(-327)).
20
Let i(o) = 21*o + 1123. Calculate the lowest common multiple of i(-53) and 18.
90
Suppose -6*a + a - x + 64 = 0, 16 = a + x. Let l = -20 - -18. What is the smallest common multiple of a and (l + 1)/((-9)/126)?
84
Suppose 15 = 3*z + 3, 2*z = -2*w + 20. Suppose w*n - 255 = 33. What is the smallest common multiple of n and 24?
48
Let k(i) = -4*i + 4 + 2*i + 5 + 3. What is the smallest common multiple of k(4) and (-2)/8 + (-100)/(-16)?
12
Suppose v - n + 3 = -0*v, -n = v + 5. Let g(k) = -3*k - 8. What is the smallest common multiple of 6 and g(v)?
12
Let u(i) = -24*i**2 + 4*i + 3. Let q be u(-2). Let b be q/(-2)*(13 + 1). What is the lowest common multiple of 7 and (-4)/22 - b/(-77)?
63
Let f(r) = -245*r + 7. Let i be f(7). Let v = i + 2936. What is the common denominator of -103/12 and v/264 + (-1)/3?
132
Suppose -n = -4*n + 42. Let q = -826 - -1034. What is the lowest common multiple of n and q?
1456
Let n(l) = 3*l + 71. Let i be n(-25). Calculate the common denominator of 57/2 and 800/(-112) + i/(-14).
14
Let v = 5600 + -28472/5. Let o = 5217/55 + v. What is the common denominator of o and -2/51?
561
Let m = 9083 - 181729/20. Let b = 2476 - 1765. Calculate the common denominator of (-2)/(-42)*b/6 and m.
140
Let h be -3 + (0 - (1 + 2)). Find the common denominator of -109/42 and (0 + h/5)/(45/(-350)).
42
What is the lowest common multiple of 68 and (88 + 20)*2*2/12?
612
Calculate the common denominator of (-44)/10*(-3)/6 and (0 + -42)/(19 + 1241/(-51)).
40
Let f = 53 - 47. Calculate the common denominator of ((-9)/68)/((-2)/(-184)*f) and 39/22.
374
Let r = 116 + 445. What is the least common multiple of 459 and r?
5049
What is the common denominator of -127/42 and (276/42 - 3) + -5?
42
Let t(u) = u**2 - 12*u - 7. Let w be t(10). Let l = -11 - w. Calculate the least common multiple of l and 22.
176
Let m = 1794 - 853. Let g = -3715/4 + m. What is the common denominator of g and -23/12?
12
Let t = 23 - 20. Let i(z) = -2*z**3 + 2*z**2 + 4*z. Let l be i(t). What is the common denominator of 91/18 and 2/l*(-214)/3?
18
Suppose 5*z = k - 39 + 15, -2*k + 5*z + 28 = 0. Suppose p + k*p = 5. Calculate the lowest common multiple of 492/44 + 4/(-22) - 2 and p.
9
Let g(i) = -13*i**3 - i**2 - 2*i - 1. Let k = 30 - 31. Calculate the lowest common multiple of 9 and g(k).
117
What is the common denominator of -37/136 and 0/(-3 - 0) - (-1273)/(-304)?
272
Let c = -2635/2 + 1347. What is the common denominator of c and (315/(-50))/(48/60)?
8
Calculate the common denominator of 361/(-63) + (-1)/((-35)/10) and (-51)/(-18)*(-49)/14.
36
Suppose -2*d + d + 12 = 0. What is the lowest common multiple of 4/(4/3) + -4 + 4 and d?
12
Let i(p) = 11*p**3 + p**2 + p - 1. Let h(a) = -a**2 - 6*a + 1. Let q be h(-6). What is the smallest common multiple of 17 + (-3 - (-6)/q) and i(1)?
60
Let z = 208322496329/2880 - 72334201. Let f = -1/320 + z. What is the common denominator of -11/3 and f?
9
Let b = -45 - -24. Let l = b - -30. What is the lowest common multiple of 5 and l?
45
Suppose 2*w + 32 = -32. What is the smallest common multiple of 2*(-4)/w*4 and 0 + 3/6*2?
1
Let c = -31 + 25. What is the common denominator of -32/3 and (-40)/42 + 6 + c?
21
What is the lowest common multiple of (-1012560)/(-340) - (-6)/(-51) and 4?
5956
Let s(g) = -3*g**2 - 8*g + 1. What is the lowest common multiple of 7 and s(-2)?
35
Suppose -2*o = -7*o - 3*y - 67, 4*o + 53 = -3*y. Let k(r) = 5*r + 10. Let x be k(o). Calculate the common denominator of -119/6 and (6/x)/((-4)/(-66)).
60
Suppose -105 = -12*p + 147. What is the smallest common multiple of 78 and p?
546
Let z = -14 + -26. Let v be (-41835)/z + (-1)/(-2). Let o = 1043 - v. Calculate the common denominator of -3/26 and o.
104
Let r = 2681 - 5409/2. Let z = 47149/24 + -1965. What is the common denominator of z and r?
24
Suppose -13*q + 6*q = -105. Calculate the least common multiple of q and 18.
90
Suppose 2*d - 2*y = -6, -d - 4*y - 3 = -0*d. What is the lowest common multiple of 0 - 0 - (0 - 8) and (-15)/(-10)*(-44)/d?
88
Let z = 63822461/429649 + -5/39059. Let q = -293/2 + z. Find the common denominator of 63/12*19/(-9) and q.
132
Suppose 3*f = -2*f + 795. Suppose -5*n + 2*d + 25 = 0, -4*n + 5 = n + 2*d. Calculate the common denominator of 2/(n - 441/f) and 61/10.
30
Let h = -5/1049 - -99715/12588. Find the common denominator of h and ((-128)/(-45) + -3)/(22/385).
36
Let j be (2/45)/(9/(-8055)). Let d = 791/18 + j. What is the common denominator of d and 3/7?
42
Suppose -44*s + 2376 = -17*s. Calculate the lowest common multiple of s and 24.
264
Let t = 14 + -8. Let p = 1667 + -1640. What is the lowest common multiple of p and t?
54
Let n be 2 - (4 + (-4 - -3)). What is the common denominator of 37/9 and ((-2533)/306)/(n/(-3))?
18
Suppose -w + 20 = -0*t + 2*t, 4*w - 53 = -5*t. Suppose -12*n - 18 = -15*n. What is the lowest common multiple of t and n?
18
Suppose -t + 2*j + 20 = -3*j, -2*t + 3*j + 33 = 0. What is the lowest common multiple of 81 and t?
405
Let c = 8 + -11. Let y = 2 - c. Suppose 0 = -z + y + 5. What is the smallest common multiple of z and 8?
40
Let d = -28936 + 867943/30. What is the common denominator of d and -181/120?
120
Let w = 228 - 1601/7. Calculate the common denominator of w and -16/67.
469
Calculate the least common multiple of 126 and 63/(-18)*-30*1.
630
Let l(j) = 35*j - 28. Calculate the smallest common multiple of 119 and l(4).
1904
Let o(l) = -2*l + 31. Let x be o(18). Let w = x + 23. Suppose 4*r + 5*f - 44 = 0, r + 3 = 3*f + 31. What is