Calculate the least common multiple of x and 10.
20
Calculate the common denominator of -12 + 7 - (177/(-54) + -2) and ((-148)/(-6))/(1 + -13).
18
Let v = 22465/14 + -4236/7. Let h be 8/6*(9 + 762). Let w = h - v. Find the common denominator of w and -101/18.
18
Let d = 29 - 27. Suppose 2 = -x - 0*y - y, -3*x + 14 = -2*y. What is the least common multiple of d and x + 5 - (2 + -1)?
6
Let v = -5997/8 + 743. What is the common denominator of v and (-3)/9*(-183)/(-20)?
40
Let u(s) = s**2 - 2*s - 18. Suppose 44 = 5*o + 14. Calculate the smallest common multiple of u(o) and 28.
84
Suppose 17*d = 22*d - 660. Calculate the common denominator of -29/4 and ((-1)/(-2))/((-27)/d).
36
Suppose 23 - 6 = 5*l + 4*b, 0 = -4*l + 2*b + 24. Let u = l + -7. Calculate the common denominator of 7/18 and 2 - (u + (-154)/(-16)).
72
What is the common denominator of 17*12/27 + -2 and 47/4?
36
Let c be ((-68)/(-44))/(2/(-4822)). Let d = 3729 + c. What is the common denominator of d and 10/6*(-2 + 10)?
33
Suppose -j + 795 + 521 = 0. Let g = j - 26401/20. Let u = 13265/6 + -2193. Find the common denominator of g and u.
60
Suppose 4*z + 3*j - 40 = -z, 2*j - 30 = -4*z. Calculate the smallest common multiple of z and 1.
5
Let y = -2920 - -23449/8. Let z(n) = 155*n**2 - 2*n - 3. Let a be z(-2). Find the common denominator of y and a/132 - (-4)/16.
88
Let n(b) = b**3 + 8*b**2 + 9*b + 10. Let k be n(-7). Let j be 8/(-6)*78/(-4). Let u = j + k. Calculate the least common multiple of 6 and u.
66
What is the lowest common multiple of 24 and 7 + (3 + -5 - 3)?
24
Let c = -25795/16 + 165741/112. Let i = c + 137. Find the common denominator of (15/4)/(6/76) and i.
14
Let l(k) = k**2 + 5*k. Let a be (4/8)/((-3)/(-30)). Let b = 3 + a. What is the smallest common multiple of l(-6) and b?
24
What is the common denominator of (2/(-12))/((140/(-1695))/2) and -13/11?
308
What is the smallest common multiple of 33 and 2 + 4 + 6/(-2)?
33
What is the common denominator of ((-59)/(-4))/((-49)/28) and (10/(-18))/(4/138)?
42
Let v = -14959299/1574 - -9504. Let r = v - -38587/12592. What is the common denominator of -113/10 and r?
80
Let c(s) = -s**3 - 9*s**2 - 10*s - 12. Let x be 2/(-3) - (-44)/(-6). What is the least common multiple of c(x) and 18?
36
Let v be 569277/126 + 2/4. Let q = 4526 - v. Calculate the common denominator of q and -40.
7
Let g(i) = -i + 24. Calculate the lowest common multiple of 8 and g(14).
40
Suppose y - 3 = h - 5, 3*h = 5*y. What is the lowest common multiple of 1 and h?
5
Suppose 0 = -5*w + t + 55, -2*w = w + 3*t - 51. Calculate the least common multiple of 18 and w.
36
Suppose 4*z - 26 - 62 = 0. Calculate the lowest common multiple of 14 and z.
154
Calculate the common denominator of (-35)/14 + 116/60 and 107/18.
90
Let o = 17 - 16. Let q(l) = -l**2 + 11*l + 6. Calculate the least common multiple of q(11) and o.
6
Let h = -42 - -43. Calculate the lowest common multiple of 36 and h.
36
Let j = 29/77 + 3713/1386. Calculate the common denominator of 98/(-12) - (3 - 1) and j.
18
Let s = -7/11 + 443/22. Find the common denominator of ((-2)/(-40))/(1/77) and s.
20
Let c(o) = -2*o - 32. What is the lowest common multiple of c(-18) and 98?
196
Let a = -11 + 33. Let b = -113/5 + a. What is the common denominator of -79/10 and b?
10
Calculate the lowest common multiple of 7 and ((-5)/8)/((-20)/160).
35
Let t = -93661/16 + 5858. Let j(p) = -p + 9. Let q be j(8). Calculate the common denominator of -2 + 111/66*q and t.
176
Let z = -2456961/84518 + -7/6037. Let h = z - -445/7. Find the common denominator of -67/10 and h.
10
Suppose 0 = 5*a - 5*f - 90, -3*a - 2*f - f + 78 = 0. What is the least common multiple of 62 and a?
682
What is the common denominator of -51/2 and (-1)/(72/(-10))*2?
18
Let h(d) = -3 + d**2 + 0 + 4*d**2 - 3*d**2 - 3*d. What is the least common multiple of h(3) and 22?
66
Let h(m) = 4*m**3 + m**2 - m. Calculate the least common multiple of 16 and h(1).
16
What is the common denominator of -79/20 and 107/7*4/8?
140
Let g be (-30723)/(-3180) + 2/5. Let l = -10/53 - g. Find the common denominator of 0 - 1/(10/(-32)) and l.
20
Suppose h - 8 - 9 = 0. Let n = h - 12. Suppose 2*t - n = 1. What is the smallest common multiple of t and 3?
3
Let t = -15 - -8. Let d(i) = -5 - 3*i**2 + 4*i**2 + 4*i + 0*i. Calculate the smallest common multiple of 4 and d(t).
16
Calculate the common denominator of (-88)/(-40) - (-2)/4 and -77/12.
60
Let s(r) = -r**3 - 8*r**2 - 8*r - 10. Let f be s(-7). What is the common denominator of -39/4 and (-5)/(-3)*f/(-4)?
4
Let n = 4 - 0. Suppose -4*z + 15 = z. Suppose -5*s = -z*u - 52, 3*s = 2*u - 3*u + 34. Calculate the least common multiple of s and n.
44
Let k = 1/245 + 3477/490. Calculate the common denominator of -87/2 and k.
10
Suppose 16 = 3*c - 11. Let v(a) = -a**2 + 5*a - 3. Let m be v(3). Suppose -m*n = -2*n - c. What is the smallest common multiple of 5 and n?
45
Let b(z) = 232*z. Let y be b(6). Let l = 5525/4 - y. Find the common denominator of -13/7 and l.
28
Suppose -3 = -4*l + 1, -2*j + 4*l + 4 = 0. Suppose -5*n = 3*z - 3*n - 70, 98 = j*z + 5*n. Calculate the least common multiple of 16 and z.
176
Suppose -7*c = c - 104. Calculate the smallest common multiple of 4 and c.
52
Let y(v) = -v**3 - 8*v**2 - 2*v - 8. Calculate the least common multiple of y(-8) and 4.
8
Suppose -2*b + 2*d = -30, 5*b = d - 0 + 87. Suppose 0 = 4*i - i - b. What is the least common multiple of 3 and i?
6
Let h(l) = 2*l**2 + 3*l + 1. Let p(m) = m - 3 - 4*m + 2*m. Let o be p(0). Calculate the lowest common multiple of h(o) and 20.
20
Let p = -19 + 25. Suppose 6*r = 7*r - p. What is the lowest common multiple of r and 4?
12
Let b be ((-6)/5)/(1/(-5)). Let h be (26/(-6) + 4)*-12. What is the common denominator of (-55)/21*b/h and 83/10?
70
Suppose 3*y = 5*r - 68, -5*r = -2*y - 31 - 41. Suppose 44 = 5*w + 3*i, -3*w = -4*w - 2*i + 6. Calculate the least common multiple of w and r.
80
Let r(i) = -20*i**2 + 3*i + 3. Let a be r(-3). What is the common denominator of 47/8 and (a/(-14))/((-20)/14)?
40
Let r = 24891/8 - 3101. Find the common denominator of -20/9 and r.
72
Let s(g) = g**2 + 2*g - 2. Let t be s(-3). Suppose t = 5*n - 49. Calculate the least common multiple of (2 + 10)/(7 + -6) and n.
60
Suppose 0 = -3*j + q + 1, -5*j = -0*q + q - 15. Let w(f) = 3*f - 4. Calculate the smallest common multiple of 129/15 - j/(-5) and w(5).
99
What is the smallest common multiple of 6 and 2*((-57)/(-6) + 1)?
42
Let i = 20 + 4. Calculate the common denominator of 3/2 and -2 + 4 - 87/i.
8
Let v = 42 + -22. Calculate the lowest common multiple of 6 and v.
60
Suppose -5*m = -5*w - 50, -w = -0 + 4. What is the least common multiple of m and 18?
18
Let w = 1/225 - -719/225. Find the common denominator of w and -93/20.
20
Suppose 0 = -2*h + b + 74, -4*h = -6*h - 5*b + 62. Suppose -2*g - 4 = 0, 2*o - 3*g - g - h = 0. What is the least common multiple of o and (1 - 4)/((-9)/12)?
28
Let m be 336 - (-2 + -1)/(-3). Suppose 3*d + 2*d + m = 0. Calculate the common denominator of (d/15)/(2/3) and -41/8.
40
Let t(k) = -2*k + 3. Let b be t(-3). Let l be -2 + 4 + b + 1. Suppose -3*a + l = -48. What is the smallest common multiple of 4 and a?
20
Let v be (2 - (0 + 3))*1. Let r = -499/27 + 22/27. Calculate the common denominator of r and v - -2 - (-78)/(-14).
21
Let x = 7/184 + 5209/920. Let j = 962 - 2854/3. What is the common denominator of j and x?
30
Let m(a) = a**3 - 2*a**2 - 4. Let g be m(3). Let h be 0 - (5/(-246))/g. Let z = h - -3136/123. Calculate the common denominator of 58/9 and z.
18
Let d = 100 - 70. Calculate the common denominator of 2/d*1695/(-6) and 1 - 1*74/(-20).
30
Let g be 2/3 + (-74)/87. Let o = g - 3563/1914. Calculate the common denominator of -125/12 and o.
132
Let w = 265347/32 + -8294. Calculate the common denominator of -93/2 and w.
32
Let h(g) = g - 2. Let s be h(4). Suppose s*d - 4*d + 2 = 0. Suppose 0 = 3*o - 4*f - 47, 7 + 0 = -2*o - 5*f. Calculate the smallest common multiple of d and o.
9
Let t = 7 + 11. Suppose 0 = -0*m + 2*m - 8. Calculate the least common multiple of t and m.
36
Let o(u) = u + 31. Calculate the least common multiple of 8 and o(-15).
16
Let k = -74 - -79. Let q = -6 - -21. Let y = q - k. Calculate the least common multiple of 6 and y.
30
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