
Find the common denominator of 9799/16236 + 2/(-8) and 61/24.
792
Suppose 0 = -z + 4 + 1. Suppose -12 = -2*a + 44. Suppose -3*y + a = -5*k, 40 = -2*y + z*y - 2*k. Calculate the least common multiple of 8 and y.
16
Find the common denominator of -91/24 and (-2)/4*(-255)/120.
48
Suppose -3*h - 5*y = -y + 2, -4*y - 14 = h. Suppose -2*c - c - 4*i = -22, -2*c - 2*i = -18. What is the lowest common multiple of h and c?
42
Let f be ((-5)/(15/72))/(-1). Suppose -2*p = -34 - f. What is the common denominator of p and 61/10?
10
Let v = 46 - 21. Suppose 5*g = h + v + 71, h - 4 = 0. Calculate the smallest common multiple of g and 4.
20
Let d(i) = -5*i**2 + 0*i**3 + 4 + i**3 + 11*i**2 + 4*i. What is the least common multiple of 2 and d(-4)?
20
Suppose 39*p = 24*p + 150. Let x be (1/1)/((-1)/(-5)). Suppose 5 = 2*h + 13, -x*q = -2*h - 48. What is the smallest common multiple of p and q?
40
Let i(v) be the third derivative of v**5/15 + v**4/12 - v**3/2 + 3*v**2. Find the common denominator of -71/2 and i(-3).
2
Let s(r) = r**2 + 3*r + 3. Let a be s(-3). Let f(y) = -3*y + 4 + y + 8*y. Calculate the lowest common multiple of f(a) and 18.
198
Let x(w) = -8*w - 3. Calculate the smallest common multiple of 10 and x(-1).
10
Let w(c) = -c**3 + c**2 - c + 4. Let s be w(0). Calculate the smallest common multiple of (156/18)/(s/6) and 2.
26
Let a be 1/2*(-6)/409. Let h = a - 26167/1227. What is the common denominator of h and 37?
3
Find the common denominator of 18/5 and (-1)/(2/(208/20)).
5
Let s = 24/23 - 1313/46. Suppose 0 = 3*n + n + 8. What is the common denominator of -4 - n - (-126)/(-40) and s?
20
Let m(k) = -k**3 - k**2 - 3*k - 2. What is the least common multiple of 104 and m(-2)?
104
Calculate the common denominator of (82/(-10))/(22/(-5)) and 3/((-162)/345) + 1.
198
Let l be ((-3)/(-2))/((-3)/15). Let d = l - -87/10. Find the common denominator of d and 83/6 - (3 - 2).
30
Let r be ((-3)/(-9))/((-5)/(-930)). Calculate the lowest common multiple of 0 - (-2 - r)/4 and 11.
176
Let h(g) = g**3 - g**2. Calculate the lowest common multiple of h(2) and 4.
4
Let z = 5 - -13. Calculate the lowest common multiple of 18 and z.
18
Let m = 27 + -17. What is the common denominator of (-144)/(-8)*(-3)/m and -57/7?
35
Suppose -5 = -2*x + 1. Suppose z = -5*t, 2*z - x*t - 26 = -0*z. Calculate the lowest common multiple of 12 and z.
60
Let q = 50 - 34. Let w(r) = -r + 6. Calculate the lowest common multiple of q and w(-4).
80
Let i = -268/9 - -1189/36. Suppose -k + 4*k = -42. Find the common denominator of ((-2)/8)/(k/436) and i.
28
Let o = -63926/45305 - 4/1105. Let b = o - 575/492. Let z = -1433 + 2805/2. Calculate the common denominator of z and b.
12
Let h = -227/555 - -1/111. What is the common denominator of -71/6 and h?
30
What is the lowest common multiple of 2 - 9/3*-1 and ((-3)/(-3))/(2/12)?
30
Suppose 7 = -3*z - 2, 5*z + 9 = -2*j. Calculate the least common multiple of j and 8.
24
Let z = 96 - 86. What is the smallest common multiple of z and 26?
130
Let y = -7337 + 3844589/524. Let f = -24093/5764 - y. What is the common denominator of f and 36/7?
77
Let d = 5 - 0. Suppose d*y = y + 12. Calculate the smallest common multiple of y and 1.
3
Find the common denominator of 81/20 and 141/4*(-14)/42.
20
Suppose -6*c - c = -7. Calculate the smallest common multiple of 4 and c.
4
Suppose 0 = p - 2*q - 26, -3*q + 7*q - 44 = -p. Let c = p + -20. What is the smallest common multiple of c and 14?
84
Let b = 69 + 66. Let n = -197/78 - -48/13. Find the common denominator of 4/10 - (-336)/b and n.
18
Let m be 0/2 - (-6)/3. Let u(l) = l + 56. Let n be u(0). Suppose -6*s + n = -m*s. What is the smallest common multiple of s and 18?
126
Suppose 11 + 253 = 6*p. What is the smallest common multiple of p and 8?
88
Let k = -28 - -29. What is the lowest common multiple of -2*(-4)/6*3 and k?
4
Suppose 0 = -4*y - 0*y - 1660. Let o = y + 897/2. Calculate the common denominator of o and 4/14 - (-324)/(-105).
10
Let g = 9 + 25. Suppose 4*w + g = 2*l + 5*w, 5*w + 22 = 2*l. What is the smallest common multiple of l and 18?
144
Suppose 3*i - 3 = -0*i, -66 = -3*b - 3*i. Calculate the common denominator of 7/2 and 14/b + 62/12.
6
Let v = -40867/18 + 2264. What is the common denominator of v and 125/126?
126
Let b = -13 + 46. What is the lowest common multiple of 42 and b?
462
Let r = 3 + -1. Let n(d) = 5*d - 2. What is the lowest common multiple of n(r) and 18?
72
Suppose -3404421 = -2*q + 3*t, 778272 - 4182692 = -2*q + 4*t. Let o = -71484115/42 + q. Let w = 1606/7 - o. What is the common denominator of 10/3 and w?
6
Suppose 3*d - 5*d + 201 = 3*j, 0 = 3*j - 3*d - 186. What is the least common multiple of 11 and j?
715
Let v = -3/1141 + 53642/5705. What is the common denominator of v and 10 - 7 - (248/(-18))/(-4)?
45
Suppose 3*c = -c + 16, 2*q - 10 = -c. Calculate the lowest common multiple of q and 10.
30
Suppose -5 = 3*u - 8. Calculate the smallest common multiple of u and 10.
10
Suppose -2*f = m - 13, -5*m - 7 = -f - f. Calculate the least common multiple of f and 9.
18
What is the common denominator of (-3 + 159/48)/2 and 19/12?
96
Let z = 204 - 199. What is the smallest common multiple of z and 58?
290
Suppose d - 5 = 1. Let c be 9/6*134/3. Suppose 0 = -5*n + c + 43. Calculate the smallest common multiple of n and d.
66
Let s = -6654 - -37780. Let k be 1/(-2) + s/(-4). Let g = k - -140227/18. Calculate the common denominator of g and -81/2.
18
Suppose -4*a = 3*u - 78, 9*a + 2*u - 94 = 4*a. What is the smallest common multiple of 8 and a?
72
Let i(u) = -u + 13. Calculate the lowest common multiple of i(-9) and 16.
176
Calculate the common denominator of 99/8 and (205/30 + 1)/(23/(-3)).
184
Suppose -d - d = -27132. Let u = -189835/14 + d. Find the common denominator of (-6)/(-10)*(-15)/22 and u.
154
Let x = -129 - -189. Calculate the least common multiple of 44 and x.
660
Let f = 15 - 8. Suppose 21 - f = g. Let x = 25 - 17. Calculate the least common multiple of x and g.
56
Let b be (-120)/(-47) + (-1 - 0) + -2. Let g be (7592/(-2350) + 2)*-5. Let j = g - b. Find the common denominator of j and -41/10.
10
Suppose 8 = 4*m - 0*m. Calculate the lowest common multiple of 10 and (5 - m)*3/1.
90
Let f be 3*11 - (-12)/4. Suppose -2*k = 8 - f. What is the lowest common multiple of 2/(-8) - (-27)/12 and k?
14
Let t = -10665 + 234699/22. Let h = 94007/7448 + 3/931. What is the common denominator of t and h?
88
Let b(z) be the first derivative of -z**4/4 + z**3/3 + z**2/2 + 18*z + 1. Suppose 2*t = -2*t. What is the least common multiple of 18 and b(t)?
18
Let y = -2473/8 + 297. Calculate the common denominator of y and -85/4.
8
What is the least common multiple of 11 and -2 + 10 + -1 + 4?
11
Let j = -4 + 7. Suppose -2*w = -3*p - 103, 2*p + 39 = w + j*p. What is the common denominator of 20 and w/(-14) + (-3 - -3)?
7
What is the common denominator of (4 + -12)*14/6 and 17/7 - 18/(-6)?
21
Suppose -2*m + 5*x = x - 20, 0 = m + x + 2. Let p be (56/(-21))/((-1)/(-12)). What is the lowest common multiple of m and 12/(-18) + p/(-3)?
10
Suppose -4 = 2*c - 0. Let o = 12 - 22. Let k = c - o. What is the least common multiple of k and 2?
8
Let j = -41 - -367/9. What is the common denominator of 85/6 and j?
18
Let h = -12 + 17. Let k = 31 + -12. Suppose 5*d - k = -2*s, d - 88 = -h*s + 17. Calculate the lowest common multiple of s and 20.
220
Suppose -2*p + r + 27 = 0, 3*p - 2*r - 42 = -0*r. What is the smallest common multiple of 7 and p?
84
Suppose 0 = -5*n - q + 3, -3*n - 7*q = -3*q - 12. Let v(f) = f**3 - f + 20. Calculate the lowest common multiple of 14 and v(n).
140
Let y = -1/110 + 639/110. What is the common denominator of -17/11 and y?
55
Let s(n) = -4*n - 4*n**3 + 2 - 2*n**2 + 5*n**3 - 2. Calculate the smallest common multiple of 22 and s(4).
176
Suppose 0 = -3*p + 2*c - c + 14, 3 = 3*c. Suppose h = -j - 40 - 109, -p*j + 569 = -4*h. What is the common denominator of -89/10 and (2/(-44))/((-2)/h)?
110
Let t(n) = -n**2 - n + 2. Let u(k) = 3*k**2 + 2*k - 5. Let d(y) = 5*t(y) + 2*u(y). Calculate the least common multiple of d(3) and 10.
30
What is the common denominator of 1/210 and (-2)/(-8) + -5 + 182/88?
2310
Suppose a + 2*a = 0. Let z(n) = -n + 11. What is the lowest common multiple of 4 and z(a)?
44
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