
Let x(o) = -2*o - 34. Calculate the lowest common multiple of 24 and x(-23).
24
Suppose -m = 2*o + 7, 5*m - 3*o - 2 = 2. Suppose -6 = -c - 1, 0 = 3*v + 3*c - 3. What is the common denominator of 5 + (m - v) + -1 and -40?
1
Suppose -3*s = 3*b, s + 5*b + 3 = 3*b. Suppose -j = 4*h - 15 - 1, s*j + 5*h - 27 = 0. What is the lowest common multiple of j and 7?
28
Suppose 5*k = 10*k + 12675. Let q = k - -12722/5. Calculate the common denominator of q and 31/8.
40
Let o = 14 - -30. Calculate the common denominator of (-1 + -20)/((-6)/9) and 2 - 2/(o/38).
22
Suppose -n = -5*n + 12. Let t(c) = n - 5 + 2*c - 3*c + 9. Calculate the smallest common multiple of 10 and t(-11).
90
Suppose 2*h - 4 + 0 = 0. Let n be 4/(-26) + (-27750)/117. Let m = -2953/12 - n. What is the common denominator of m and h?
4
Suppose 9 = 2*k - 0*k + 5*c, 5*k - 4*c - 105 = 0. Suppose 2*r + 3 = k. What is the lowest common multiple of r and 110/12 - 2/12?
63
Let o(s) = s**2 - 8*s - 10. Let i be o(9). What is the least common multiple of 1 and -8 + 8 - (i + 0)?
1
Suppose 3*x = -0*l - 2*l + 111, l - 75 = 5*x. Let o = -20 + l. What is the lowest common multiple of 22 and 3/2*o/30?
22
Suppose 2*d - d + 1 = 0. Let y = d - -2. Calculate the least common multiple of y and (6 + -2)/2*4.
8
Let s = 4/21 + 1/7. Let j be -14*3/((-12)/(-22)). Calculate the common denominator of (-6)/(-21) - (-85)/j and s.
33
Let g = -277 - -55. Calculate the common denominator of (g/10)/(-4 + 0) and 21/4.
20
Let a = 390/11 - 1610/33. What is the common denominator of -127/6 and a?
6
Let b(c) = -c + 7. Let g be b(7). Let d be (-2)/(-2 + g) - -5. Let m = d + 3. What is the lowest common multiple of 5 and m?
45
Let r(w) = -5242*w**2 + 4*w - 2. Let g be r(2). Let v = g + 377213/18. What is the common denominator of v and 19/12?
36
Let j = -15 - -31. Let c(l) = -15*l**2 - l + 1. Let y be c(1). Let r = 1 - y. What is the least common multiple of j and r?
16
Let h be (-2)/(-340)*(-6812)/8. Let n = -97/85 + h. Find the common denominator of (-2 - (-10)/8)*2 and n.
20
Suppose 2*q - 6 + 47 = 3*u, 3*u = -q - 16. Let a = q - -35. Suppose 2*y - 34 = -2*k, -109 = -0*y - 5*y + 3*k. What is the lowest common multiple of y and a?
80
Suppose -3*j = j - 12. Suppose 58 = 3*z - 5*n, 2*z + 0 = 3*n + 39. Let p = z - 10. Calculate the lowest common multiple of j and p.
33
Calculate the common denominator of (-3)/36*(1 + -291) and 13/6.
6
Let j = 21740210039 + -908458156964713/41787. Let y = -2/4643 - j. Find the common denominator of -91/10 and y.
90
Suppose -3*y = -0*y + 4*t - 18, 4*y + 2*t = 24. Suppose -5*f = -0*f - 25. Calculate the least common multiple of (4/y)/((-4)/(-42)) and f.
35
Suppose 4*c = f + 4, -3*c + 2 + 1 = 0. Suppose f = 2*q - 6*q + 64. Let s = 51 - 35. What is the lowest common multiple of q and s?
16
Calculate the common denominator of 97/14 and (-58)/((-3)/(-9)*32).
112
Let k(b) = -3 + b**2 + 1 + b - 1. Let h be k(-6). Find the common denominator of (h + -6)/(10 - 0) and -21/22.
110
Let j be (-6)/39*(-64)/(-332). Let w = j - -101051/23738. Calculate the common denominator of ((-102)/32 - -2)*5 and w.
176
Let c(g) be the second derivative of g**5/20 + 5*g**4/12 + g**3/2 + g**2 - g. Calculate the lowest common multiple of c(-2) and 58.
232
Let b(n) = -4*n**3 + 2*n**2 + 2*n**3 - 2 - 2*n - 6*n**2 + 0. What is the least common multiple of 10 and b(-3)?
110
Let i = 1239 - 548. Find the common denominator of 53/6 and i/110 + (-4)/22.
30
Suppose 4*m = -15 + 115. Calculate the lowest common multiple of m and 8.
200
Let z = 5407/4 + -1374. Let v = 222536325/16 - 13897058. Let r = v - 11456. Find the common denominator of r and z.
16
Suppose -7*j + 20 = -2*j. Suppose j*n + 16 = f, 2*n = -2*f - 2*f + 28. Let g = 14 + -9. Calculate the lowest common multiple of g and f.
40
What is the smallest common multiple of 6*(3/6 + 5) and 63?
693
Suppose -4*c = -2*c + 82. Find the common denominator of 50/11 and c/(-5) - (1 + 1).
55
Let g be 0 - -1 - (-2 + 1). Suppose -g*h = h - 66. Suppose -x - x + 44 = 0. What is the smallest common multiple of x and h?
22
Let o = -5859/2 - -15923/6. Let y be (338/(-27))/((-4)/(-87)). Let j = o - y. What is the common denominator of 87/16 and j?
144
Let y(n) = -2*n**2 + 10*n - 7. Let h be y(6). Let l = 29 + h. What is the common denominator of (20/(-3))/(15/l) and -17/3?
9
Suppose -24 = -3*k + 72. Suppose -4*p + k = 3*v, 5*v - 45 = -5*p + 10. What is the smallest common multiple of 16 and v?
48
Let k = -24/253 - -30251/1518. Suppose 9 = -4*p + 7*p. What is the common denominator of k and (402/128 - p)*-4?
48
Let b = 43 - 37. Calculate the smallest common multiple of b and 8.
24
Calculate the least common multiple of 3 and (-15)/6*24/(-10).
6
Let g = -27011/6 - -4478. Find the common denominator of 29/10 and g.
30
Let l be 22/(-1 - 0/4). Calculate the common denominator of -9/11 and (-15)/5 - (-26)/l.
11
What is the common denominator of (-6)/(-27) - -2*(-491)/(-36) and 993/21 - (-4)/(-14)?
2
Let x = -30326/7 + 4325. Let w(k) = -k**3 + 10*k**2 - 4*k + 2. Let a be w(9). What is the common denominator of x and (a/(-9))/1 + 1?
63
Let f = 218 + -97. Let a = f - 86. Suppose a = 4*u + u. What is the smallest common multiple of 8 and u?
56
Suppose -n + 11 = -3. Let a = 1 + 2. Suppose 3*d - 30 = -a*f, 2*d + 4 - 22 = -3*f. Calculate the least common multiple of n and d.
84
Suppose -h = -4*x + 9, 6 = 4*h + 4*x - 18. Suppose -i + 0 = 3*f + 5, 4*i + h*f = 7. Suppose -4 = s - 14. Calculate the least common multiple of i and s.
20
Let k = -108032319 - -1945072585/18. Let x = k + -27261. What is the common denominator of 79/6 and x?
18
Suppose 3 = -3*r, -5*d + 0*r + 57 = -2*r. Let q be (-1 - 1)/(1/2). Let w = q + 5. Calculate the lowest common multiple of d and w.
11
Suppose -5*u + 60 + 8 = 4*x, 20 = x + 2*u. Let o(q) = 5*q**2 - q - 4. Calculate the least common multiple of o(2) and x.
84
Find the common denominator of -1 - (0 - (-12)/(-56)) and -47/20.
140
Let k(p) = -p**3 - 8*p**2 + p - 1. Let c be k(-8). Let z = -13 - -8. Let h = z - c. What is the smallest common multiple of 4 and h?
4
Let w = 0 - -1. Let h = w - -9. Suppose -3*s - d + 0 = -h, 0 = -2*s + 4*d - 12. Calculate the least common multiple of s and 2.
2
Let y(l) = l + 17. Suppose -4*o - 3*v + 2*v + 1 = 0, -v = 3. Calculate the least common multiple of y(-16) and -1*o*4/(-1).
4
Suppose 0 = -4*a + 5*m + 12, 2*m = -3*a + 4*a. What is the common denominator of (21/(-9))/(a/42) and ((-1)/(-2)*-61)/2?
4
Let w = 121/12 + 31/6. Let n = 3631/147 + 13/98. What is the common denominator of w and n?
12
Suppose 3*o + j - 19 + 3 = 0, 3*j = -o - 8. What is the lowest common multiple of o and 3?
21
Calculate the least common multiple of 6 and ((-5)/(-3) + (-22)/(-165))*5.
18
Find the common denominator of -47/6 and 244/12 - (0 + 0).
6
Let m = -795799/22144 - -8181/173. Let u = m - 13/128. What is the common denominator of (-8)/12 + 134/(-96) and u?
16
Let o = -40 - -50. Let a = -21 - -39. Calculate the least common multiple of o and a.
90
Calculate the common denominator of 3 + 0 + (-428)/32 and -1/3.
24
Let j = 1560 - 6187/4. Find the common denominator of j and (-10)/(-315)*9 + (-362)/(-56).
4
Let m = -430 - -75. Let c = -684 - -9571/14. Find the common denominator of (-1)/2 - m/15 and c.
42
Let n be 3/(1/(-1) + 2). Suppose -3*o + 48 = n*v - 6*o, -5*o = v - 40. Calculate the least common multiple of v and 12.
60
Let h = 12/514727 + -25904665837/4632543. Let g = h - -5584. Calculate the common denominator of g and -9/10.
90
Let x(f) = 3*f - 4*f + 3 + 3 + 0*f. What is the lowest common multiple of x(-5) and 9?
99
Let b be 20*-1*(-4)/4. Calculate the common denominator of ((-2)/b)/((-12)/(-516)) and -48/5.
10
Suppose 4*x = 0, -5*b + 3*b = x - 4. Suppose 7 = 2*y - 5. What is the lowest common multiple of y and b?
6
Let l be (-2)/(-1) - 450/(-3). Calculate the common denominator of ((-1)/(-5))/((-2)/(-106)) and ((-10)/16)/((-2)/l).
10
Let x(l) = l**3 - 3*l**2 - 27*l + 99. Suppose -22 = -5*i + 3*i + 2*k, 5*i = -2*k + 55. What is the smallest common multiple of i and x(4)?
77
Let r(y) = -2*y + 1. Let x be r(2). Let g = x + 13. What is the smallest common multiple of g and 8?
40
Suppose 2*y = -4, 7*y - 3*y = -4*w + 64. Calculate the least common multiple of 30 and w.
90
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