3. Let g be h(-5). Let w = 101/3 + -1523/48. What is the common denominator of (-1596)/g*(-1)/(-18) and w?
48
Let y = -32 - -42. What is the least common multiple of 6 and y?
30
Let j = 244 - 366. What is the common denominator of ((-1)/36)/((-1)/j) and 3/(-2) + 1 - 303/(-36)?
36
Suppose -12 + 2 = -2*h, -h + 11 = 3*z. Let m be z/8 + (-6514)/100. Let n = 1536/25 + m. Calculate the common denominator of 127/18 and n.
180
Let a(t) = -t**2 + 3*t + 2. Let r be a(3). Let z = r - -9. Calculate the lowest common multiple of z and 6.
66
Suppose 6*r - 12 = 2*r - 3*s, 0 = -4*r - 4*s + 8. Suppose 5 = 2*z - 5. Suppose 2 - 57 = -z*y. Calculate the least common multiple of r and y.
66
Let q = 1446 + -23067/16. Let s = 172388/95 + -7912231/380. Let x = 19003 + s. Calculate the common denominator of x and q.
80
Suppose -t + y = -20, 4*t + y - 68 = 2*y. What is the lowest common multiple of 20 and t?
80
Suppose -4*g - 5*q - 90 = -9*g, g = 2*q + 21. Let i = 35 - g. Calculate the least common multiple of i and 18.
180
Suppose -2*z = 2*z - 28. What is the least common multiple of 1 and z?
7
Find the common denominator of -1 - -1 - (-165)/27 and -77/10.
90
Let j = 0 - -10. Let n = 49 - 41. Calculate the lowest common multiple of j and n.
40
Suppose -3*o + 2 = -2*o. Calculate the common denominator of ((-6)/(-36))/(o/92) and -61/9.
9
What is the common denominator of 113/10 and (-103)/(-2)*(-2)/(-22)?
110
Let c be (20/1650)/(48/(-16630)). Let u = -1/44 + c. What is the common denominator of (-33)/9*18/(-20) and u?
90
Suppose 2*u = -5*y - u - 1, -5*y - 7 = u. Let v = 5 - 3. Let q = v + y. Calculate the common denominator of -69/2 and q.
2
Let s = -59 - -121/2. What is the common denominator of s and 0?
2
Let x be 108/26 - (-2)/(-13). Suppose -m + x = 2. Calculate the least common multiple of m and 5.
10
Let q = 1 - -1. Let l(w) = -7*w - 3. Let j(t) = 13*t + 5. Let p(f) = -6*j(f) - 11*l(f). What is the smallest common multiple of p(q) and 4?
4
What is the smallest common multiple of 2 and (1 - -24) + 24 + -25?
24
Let s = 4 - 5. Let i be s - 7 - (-3 + 4). Calculate the common denominator of 137/6 and (-3)/i + (-50)/12.
6
Let q = 2/69 - 767/276. Calculate the common denominator of 105/52 and q.
52
Let m(v) = v**2 - 4*v + 1. What is the smallest common multiple of 1 and m(4)?
1
Suppose 5*y = 3*p + 3*y - 38, -5*p + 66 = -4*y. Calculate the common denominator of ((-69)/p)/(3/4) and (2/(-1))/(54/183).
45
Let f be -2 - (18/1)/(-3). Suppose 0*l - f*l + 4 = 0. Calculate the least common multiple of 8 and l.
8
Suppose y = -y + 4. Let c = -14 + 17. Suppose 5 = -c*l + 11. Calculate the smallest common multiple of y and l.
2
Let c = 43351/10 + -4339. Calculate the common denominator of c and -47/10.
10
Let h be (-3 - -2)/(5/(-38)). Let m = -279/40 + h. Calculate the common denominator of m and ((-34)/(-3))/(3/6).
24
Let i be ((-5)/10)/(2/(-6040)). Let r = i - 6121/4. Find the common denominator of r and (-2)/(-6) - (3 - 16).
12
Let k = -7176 - -4060. Let p = k - -21863/7. Find the common denominator of -4 + 128/(-12) + 3 and p.
21
Suppose -28 = -0*b - 2*b. Calculate the least common multiple of b and 8.
56
Let y be ((-6)/(-7))/(1/(-7)). What is the lowest common multiple of (-63)/y + (-4)/8 and 4?
20
Suppose -57 = -6*x + 15. Calculate the lowest common multiple of 16 and x.
48
Let g = -7 - -10. What is the smallest common multiple of 10 and g?
30
Let j be 2/(-3) + 1416358/132. Let o = -10726 + j. Find the common denominator of o and (-2)/(-8)*(-102)/(-7).
154
Let u = -1320 + 22458/17. Let r be -2 - 0 - (-857)/119. Let l = u - r. Find the common denominator of 77/2 and l.
14
What is the common denominator of (-26)/130*555/(-14) and 91/20?
140
Let p be (-6)/(-15) - 13/(-5). Suppose -p*k = 3*r - 54, 5*k + r - 102 = -0*r. Find the common denominator of -47 and (-18)/k - (0 - 0).
7
Let y = 55 + -37. Calculate the least common multiple of 2 and y.
18
Let o(w) = -w**2 - 6*w - 6. Let d be o(-5). Calculate the common denominator of 49/6 and ((-1)/(-22))/(d/46).
66
Let h = 55 - 48. What is the least common multiple of 6 and h?
42
Let t = -501/17 + 11177/306. Find the common denominator of t and ((-6)/(-56))/((-6)/4).
126
What is the common denominator of (1 - (-34)/(-40))*-18 and (-2)/3*(-171)/(-44)?
110
Let j = 510 + -145. Let u = -2251/6 + j. Calculate the common denominator of u and (76/(-16))/(6/20).
6
Let n(o) = o + 34. What is the smallest common multiple of n(8) and 18?
126
Let a be (2/(-6))/((-9)/135). Suppose 0 = -0*i - 2*i - 2*v - 622, 2*i + a*v + 610 = 0. Find the common denominator of (i/24)/7 - -1 and 68/3.
24
Let o(t) = t**3 + 4*t**2 + t + 2. Let d be o(-4). Find the common denominator of 23/2 + (d - -4) and (-2)/5 - (-2478)/120.
4
Let p be 6*(-6)/(-27)*3. Suppose 0*i + 2*i = -2, 28 = 4*v + p*i. What is the smallest common multiple of 3 and v?
24
Suppose s - 30 = -2*s. Let x = 16 + -15. What is the smallest common multiple of x and s?
10
Let b be (18 + -1)/(296/(-32)). Let o = b - -1599/407. Find the common denominator of 23/3 and o.
33
Calculate the common denominator of 47/8 and (-342)/(-66) + 12/(-4).
88
Let a(x) = x**2 - 2*x + 7. Calculate the least common multiple of 24 and a(0).
168
Let x = -22753/562 + -4/281. What is the common denominator of 30/11 and x?
22
What is the common denominator of 19/22 and 89/(-6) + -3 + 3?
66
Let z(v) = -v**2 + 9*v + 8. Calculate the least common multiple of z(9) and 4.
8
Let d be ((-5)/(-1))/(-3 + 4). Suppose -5*i = -2*m - 106, i + i - d*m - 55 = 0. What is the least common multiple of i and 4?
20
Suppose 5*u + 4 = 9. Let b = 8 + u. What is the smallest common multiple of b and 8?
72
Suppose -4*p - 33 - 3 = 0. Let b = -5 - p. Calculate the least common multiple of (-24)/(-14) - (-4)/14 and b.
4
Let s = -3315/14 - -237. Calculate the common denominator of 61/10 and s.
70
Let m = 89/257882 - -2118335179/479402638. Let v = m + 6/169. Find the common denominator of 27/5 and v.
55
Suppose -2*c - 34 = 4*n, -2*c - 7*n - 33 = -2*n. Find the common denominator of 27/10 - 2/1 and (3 + -2)*c/5.
10
What is the lowest common multiple of 9 and ((-5)/5)/((-1)/5)*1?
45
Let k(q) = -q**3 + 7*q**2 - 5. Let m be k(7). What is the common denominator of (-551)/30 - 1/m and ((-38)/(-3))/(1/(-3))?
6
Suppose -10 = -2*m + 4*c, 0 = -2*m + 3*c - 6*c + 24. Calculate the smallest common multiple of 6/(3 + m/(-6)) and 1.
4
Let h = -3/385 + 32773/6160. Calculate the common denominator of -49/12 and h.
48
Let v be 1/5 + (-149)/(-5). Suppose -4*x - 6 + v = 0. What is the least common multiple of 5 and x?
30
Let y(n) = -n - 5. Let q be y(9). Let f = 34 + q. What is the common denominator of (-68)/f*(-5)/(-6) and -79/8?
24
Let t = 800 + -4037/5. Let p = -26891/6 + 4494. Find the common denominator of p and t.
30
Suppose -3*z = -s - 9, s - 5 = 2*s - z. Find the common denominator of -17/12 and 6/4*7/s.
12
Suppose 0 = 4*n + 4*b - 208, 0 = -2*n + 4*b + 28 + 64. Let l = -22 + n. Let x = l + -16. Calculate the lowest common multiple of x and 22.
132
Suppose 4*i + r + 2 = 2*r, -8 = 4*r. What is the least common multiple of 11 and 0 - (12/i + 2)?
110
Let n = -81 + 125. What is the smallest common multiple of n and 40?
440
Let n be -2 + (6 - 1) + -2. What is the common denominator of -33/10 and (-2)/12*n + 4?
30
Let x = 0 - -1. Let z = x - -5. Let d(j) = 4*j**2 - 5*j + 5. What is the least common multiple of z and d(2)?
66
Suppose -o = 3*o - 4*f - 68, 3*o - 5*f = 49. Calculate the smallest common multiple of 54 and o.
54
Suppose -2*n = 0, -3*a + n = -2 - 10. Suppose -x + 7 = a*m, 0 = x + 5*m - 3*m - 7. Calculate the lowest common multiple of 10 and x.
70
Let h = -156237/20 - -7815. Calculate the common denominator of 27/92 and h.
460
Let d = 44917/44 - 4101/4. Find the common denominator of -101/6 and d.
66
Let l be 16/7 + 2/(-7). Calculate the common denominator of 47/9 - (-1 - 2) and 190/(-12) + l/(-2).
18
Calculate the common denominator of 101/14 and ((-1 + 11)/((-8)/(-10)))/(-4).
56
Suppose -2*q = 2*s - 182, 5*q + 71 = s - 50. Let v = s + -64. Suppose l - v = -3*l. Calculate the lowest common multiple of l and 7.
56
Suppose 34 = 4*r - j - 12, -4 = 2*j. What is the least common multiple of 6 and r?
66
Let m = 102429/20 + -5120. Let o be (24/14)/(70/371). Let z = o - 113/28