 What is the common denominator of n and 9/11?
77
Suppose 0*b - 12 = -2*b. Let o = 11 - b. Suppose -o*v - 2 + 12 = 0. What is the least common multiple of v and 10?
10
What is the common denominator of -16/3 and -1*(-138)/(-218)*(-4)/12?
327
Let b = -99 - -102. Suppose -3*c = 5*n - 13, 0*n - 4*c - 1 = 3*n. Calculate the lowest common multiple of b and n.
15
Let h = 7 - -1. Suppose -4*b - y + 2*y + 42 = 0, -b = y - h. Calculate the lowest common multiple of b and (-1 - (-8 - -1))/1.
30
Suppose 0 = 4*u + 4*q - 20, 4*q = -2*u + 5 - 1. Calculate the lowest common multiple of 1 and u.
8
Find the common denominator of -25/4 and ((-6)/(-12))/(10/(-7)).
20
Find the common denominator of 151/6 and (-8)/(-28) - 282/154.
66
Let q(o) = o**2 - 10*o + 2. Let v be q(9). Let c be (-1)/(1/v*-1). Let l = c + 14. What is the lowest common multiple of l and 4?
28
Let r(w) = w**3 - 2. Let k be r(2). Let q be 1840/(-18) + k/27. Calculate the common denominator of 7/(-4)*q/35 and 29/2.
10
Suppose -3*z = 2*p - 145, 8*p - 345 = 4*p + 5*z. Calculate the lowest common multiple of p and 16.
80
Let a(m) = -8*m**3 + m**2 - 3*m - 2. Suppose -5*v = -27 + 7. Let g be a(v). Let x = 2111/4 + g. What is the common denominator of 47/3 and x?
12
Let b = 1571 + -9467/6. What is the common denominator of b and (-5945)/(-1040) - (-2)/(-13)?
48
Let s be ((-44614)/56)/(270/(-2)). Let i = s + -1/756. Find the common denominator of i and 103/18.
90
Let v = -242319521/5022052 + 8077/10708. Let p = -3/938 + v. Calculate the common denominator of p and ((-4)/(-15))/(2/12).
10
What is the least common multiple of 5 - (-1 + (-4 - -9)) and (7 - 1) + 2 + 0?
8
Let r = -3703 + 22075/6. Calculate the common denominator of r and 73/9.
18
What is the smallest common multiple of 6 and (30/25)/(1*2/10)?
6
Let d = -27/2519 - -21101906/22671. Let p = d + -934. Find the common denominator of -37/8 and p.
72
What is the lowest common multiple of 4 and ((-5)/(-1))/(27/108)?
20
Let a(f) = -f + 2. Let o be a(4). Find the common denominator of (-679)/140 + (-1)/o and ((-1)/32)/((-2)/(-116)).
80
Let w(k) = k**2 - 2*k - 3. Let n be w(-2). Suppose -3*y = -0*y - 18. Suppose -2*d + n*d = 0, 2*f - d = y. Calculate the least common multiple of f and 7.
21
Let z = 8 - 4. Suppose -z*r = -3*r - 1. Suppose -n + 2*n = r. Calculate the least common multiple of 10 and n.
10
Let t(b) = -2*b**2 + 5*b + 6. Let f be t(5). Let c = f + 29. Calculate the smallest common multiple of c and 5.
10
Find the common denominator of -53/4 and 371/84*(-6)/4.
8
Let u be ((-35928)/630)/((-2)/5). Let z = u + -9707/70. What is the common denominator of -93/22 and z?
110
Let d(j) = -4*j**2 + 2*j + 7. Calculate the common denominator of d(3) and 53/8.
8
Let x = -1 + 3. What is the lowest common multiple of x and 6?
6
Let d = 75/319 + -20/29. Find the common denominator of d and (-1)/(-4) - (-5)/(-2).
44
Suppose s = -3*s - 8. Find the common denominator of 22*(2 - (-14)/(-8)) and (-90)/(-4) - s/6.
6
Let n = 10 - 47/2. Find the common denominator of ((-12)/(-14))/((-96)/(-294)) and n.
8
Suppose 0 = 2*w - 8 - 32. Suppose 5*g + w = 0, -3*m - 1151 = g - 2*g. What is the common denominator of (-1008)/m + 1/5 and 19/4?
44
Find the common denominator of -4 + 21*(-55)/(-360) and 67/15.
120
Suppose 4032 = 2*u - 278. Let p be (u/20)/(6/188). Let a = p + -3354. What is the common denominator of a and -11/2?
6
Let n be ((-40)/(-12))/((-4)/6). Let a = 5 - n. Calculate the smallest common multiple of 22 and a.
110
Let x = 11/4 + -73/28. Let p = 855/2 - 403. What is the common denominator of p and x?
14
Suppose b = -2*b - 6, -4*r + 22 = -5*b. Let y = r - -1. Calculate the common denominator of 1/20 and 1/y*(-776)/36.
180
Let g be (-1)/(-1) + 4 + 0. Let j(d) = 24*d + 3. Let f be j(g). What is the smallest common multiple of 20 and f/6 + (-1)/2?
20
Calculate the smallest common multiple of (-45)/(-7) + 42/(-98) and 3.
6
Let u = -45 - -53. Calculate the lowest common multiple of 4 and u.
8
Let g = -6/56575 - 43505623/5204900. Let b = 9/23 - g. What is the common denominator of (-27)/(-2) - (-14)/(-7) and b?
4
Suppose 3*c - 4*c - 2*k = -10, 0 = 4*c - 5*k - 27. What is the lowest common multiple of 14 and c?
56
Calculate the smallest common multiple of 2 and (-30)/(-9)*(2 - -1).
10
Suppose -10*m + 5*m = -100. What is the lowest common multiple of 6 and m?
60
Calculate the common denominator of 87/(-516) - 8/(-32) and 25/6.
258
Let p = 0 + 1. What is the common denominator of 79/10 and p*2/(-12)*-57?
10
Let j = -5 + 11. Calculate the least common multiple of j and -3*(-3 + 3/9).
24
Let s(i) = -i + 11. Let u be s(12). Calculate the least common multiple of 1/u - (-12)/2 and 8.
40
Suppose -2*n + 44 = -2*u, 0 = 4*n + 4*u - 65 - 7. What is the common denominator of 12/10*375/n and 11/4?
4
Let s = 42315/46 + -2148/23. Let d = s - 782. What is the common denominator of d and -7/11?
22
Calculate the common denominator of (-4115)/(-420) + -4 - (-2)/7 and 143/30.
60
Let o = -4/45 - -3121/180. What is the common denominator of o and -81/20?
20
Let g = -158/5 + 182/5. What is the common denominator of g and -4/11?
55
Suppose -6*p + 144 = -2*p. Suppose 5*b - p = 2*b. Calculate the least common multiple of b and 16.
48
Let b = -95647084635017/1218 + 78527996465. Let o = b + -12364. Let q = o - -25271/3045. Find the common denominator of q and 30.
10
Suppose -22 = -r - 2*w, 4*r = w + 13 + 30. What is the least common multiple of r and ((-2)/4 + 1)*20?
60
Let w(q) be the third derivative of -q**6/120 - q**5/20 + 5*q**4/24 - 5*q**3/6 - q**2. What is the least common multiple of (-2)/(-10) + (-89)/(-5) and w(-5)?
180
Let v = -16 - -26. What is the least common multiple of v and 10?
10
Let m = -199/40 + 27/20. What is the common denominator of m and 29/14?
56
Suppose 3*x - 6 = 0, -l - x - 2*x + 5506 = 0. Let s = l - 54903/10. Calculate the common denominator of s and 79/10.
10
Suppose 0 = -4*f + 5*i - 92, 0*f = f - 5*i + 23. Find the common denominator of f and 14/3.
3
Let g be 2/4*0/8. Suppose g = 4*f - 3*f - 6. Find the common denominator of 26/(-6)*f/28 and -117/20.
140
Suppose 5*r - 48 = 2*r. Calculate the smallest common multiple of 16 and r.
16
Suppose 3*v = -13 - 2. Let p = 13 + v. What is the lowest common multiple of p and 9?
72
Suppose -o - 5*g + 40 = 0, -o - 76 = -5*o + g. Suppose -4*k + 9 = 5*s, 2*k = -3*k - o. What is the least common multiple of s and 6?
30
Let o = 14 - 0. What is the smallest common multiple of 14 and o?
14
Let h = 3261/7 - 65927/140. What is the common denominator of h and 17/14?
140
Let h(c) = -c**3 + 4*c**2 + 4*c. Let z be h(4). Suppose -3*w = 3*s, 4*s - z = -0*w + 4*w. What is the lowest common multiple of s and 6?
6
Let k = -1/85263 - 791837477/341052. Let v = 2338 + k. Let d = -4208 + 33605/8. Find the common denominator of d and v.
8
Let r(c) = -3*c - 24. Let m = 2 - -1. What is the lowest common multiple of m and r(-10)?
6
Let n(r) be the first derivative of r**3/3 - r**2/2 + r + 3. What is the lowest common multiple of 6 and n(-2)?
42
Let o be (16/(-6))/((-2)/138). Let n = o + -4055/22. What is the common denominator of n and 7/6?
66
Let v be (-79)/(-4) + 2/8. Suppose u + 3*b + 6 = v, 5*u = 3*b + 70. What is the least common multiple of u and 20?
140
Let o(i) = -i**3 + 3*i**2 - i. Let c be o(2). Suppose 3*y - 16 = -5*j, -5*j + 3*y + 5 = 1. What is the least common multiple of 2*(1 - c) - -12 and j?
10
Let v = 32033/8 + -4014. What is the common denominator of (1/(-4))/(152/(-30) + 5) and v?
8
Let g = 7 - 3. Suppose 4*v = 4*d - 48, -g*v - 4 = 2*d - 16. Let h = 15 - d. What is the smallest common multiple of 7 and h?
35
Let y = 21 + 61. Find the common denominator of -2 + 0 + 2/44 and y/(-24)*(-10)/(-15).
198
Let y = 7 - 5. Find the common denominator of 69/2 and y/(-6)*210/3.
6
Suppose -12 + 0 = 4*v. Calculate the lowest common multiple of 2 and (3 - 0) + (v - -2).
2
Let a = -19 + 33. Let m = -9 - -21. What is the smallest common multiple of m and a?
84
Let c(v) = -v**3 + 13*v**2 + 14*v + 5. Calculate the least common multiple of 3 and c(14).
15
Suppose -4*n + 5*n = 2. Calculate the smallest common multiple of 8 and n.
8
Let a = 38077/10 - 3820. Let q = 757321/159 - 4763. Let y = -9755/2226 + q. Calculate the common denominator of y and a.
