 3*a + 5*w - 6 = 4*a. What is the least common multiple of 6 and a?
18
Let n = 498/13 + -9297/260. Let i be (6/15)/((-828)/(-605)). Let k = i - 8/23. What is the common denominator of k and n?
180
Let a(f) = f**2 + f + 6. Let c(o) = o**2 - o - 6. What is the lowest common multiple of c(5) and a(-4)?
126
Let w = 33 - 11. Calculate the smallest common multiple of w and (-142)/(-7) - (-4)/(-14).
220
Suppose 0 = -2*u + 1 + 3. Suppose -u*p + 2*g = 3*g - 15, -5*p = 5*g - 35. Let z = 20 - 11. What is the smallest common multiple of p and z?
72
Find the common denominator of -23/86 and (13/78)/(16/(-270)).
688
Suppose -b + 11 = 3. Suppose -d + 5*d - b = 0. Calculate the lowest common multiple of d and 18.
18
Let h(v) = 7*v - v + v**3 + 2*v - 7*v**2 - 2*v. Let d be h(6). Suppose -3*c = -5*b - 12, 3 = b - d. Calculate the smallest common multiple of c and 9.
9
Let y(k) = -3*k**2 - 2*k + 1. Let q be y(-7). Let z = q + 1053/8. What is the common denominator of 37/6 and z?
24
Suppose 3*j - 48 = -3*j. Calculate the smallest common multiple of 2 and j.
8
Suppose 4 = f - 3. Calculate the least common multiple of 3 and f.
21
Let p be (-1173895)/20 - 2/8. Let z = p + 13558385/231. Let w = 110/21 + z. What is the common denominator of w and 68/3?
33
What is the common denominator of 89/8 and (243/12)/1*2?
8
Suppose -4*y + 5*y = 30. Suppose 3*b = y - 0. Calculate the smallest common multiple of b and 8.
40
Suppose 4*n - i = i + 42, 5*n + 3*i = 47. Let p = -22 - -40. What is the smallest common multiple of n and p?
90
Let g = 9145/126 - 475/7. What is the common denominator of g and 73/22?
198
Let x = 2 + -1. Suppose 13 = 3*r - t - 1, -13 = -3*r + 2*t. What is the smallest common multiple of x and r?
5
Let y = 0 + -5. What is the common denominator of 91/2 and 0 - y/(160/198)?
16
Let n = -9729/10 + 972. What is the common denominator of 37/22 and n?
110
Find the common denominator of -20/21 and (-64)/200*(-130)/(-12).
105
Suppose 2*x - 50 = -22. Calculate the lowest common multiple of 12 and x.
84
Suppose 36 = f - 4*z, -3*f + z + 128 = -z. What is the least common multiple of 8 and f?
88
Let n be ((-2)/4)/(1/6). Suppose 4*h + 4*f = 56, -6*f + 2*f - 56 = -4*h. Calculate the lowest common multiple of 3/(n/48*-6) and h.
56
Let t = 604/5 - 120. What is the common denominator of t and -38/31?
155
Let q = 22801/7 - 3249. Find the common denominator of q and -19.
7
Suppose -4*a - 192 = -3*d + 45, 0 = -4*a - 3*d - 267. Calculate the least common multiple of (a/14)/(6/(-8)) and 2.
6
Let u = 2737/66 + -194/11. Let x = -59393/13 - -4571. Find the common denominator of x and u.
78
Let l = -7 + 11. Calculate the least common multiple of l and 2.
4
What is the common denominator of 11/6 and 14*(-21)/72*(0 + -1)?
12
Suppose -2*l - 5*z + 25 = -14, -106 = -5*l - 4*z. Suppose -3*y + 1 + 5 = 0. What is the smallest common multiple of l and y?
22
Let j(l) = 0*l + 4 + 1 - l**3 - l + 5*l**2. Let f be j(5). Suppose 14 = -f*k + 2*k. Calculate the least common multiple of k and 8.
56
Suppose -2*t - 2*t - 3*i = 31, 5*t - 5*i = 5. Calculate the common denominator of -139/6 and ((-92)/80)/(t/10).
24
Let g be (-1)/((-1)/(-5)*-1). Let n(q) = -q + 9. Let x be n(5). Let v = g - x. Calculate the least common multiple of 5 and v.
5
Let s = 16713/4 + -4200. What is the common denominator of s and 9/11?
44
Let t = -42 + 55. Let k(q) = -q**2 - 7*q + 7. Calculate the lowest common multiple of t and k(-7).
91
Suppose -17 = -0*b - 5*b + 4*j, 5*j + 10 = -5*b. Calculate the smallest common multiple of 4 and (-3 + 3 + b)*7.
28
Let j(m) = -7*m - 38. Let y(a) = 12*a + 37 + 20 - a. Let d(w) = -8*j(w) - 5*y(w). What is the lowest common multiple of 8 and d(-8)?
88
Let o = 2/277533 + 6489554119/2775330. Let j = o + -2341. Find the common denominator of 7 and j.
10
Let c(r) = -r**3 + 4*r**2 - 2*r - 2. Suppose 5*v - 3*s = s - 10, 3*s = -2*v + 19. What is the least common multiple of v and c(3)?
2
Suppose 3*t - 4*r - 70 = -2*t, 2*t - r = 28. Suppose t = 4*c - 2. Let g(a) = a + 16. Calculate the least common multiple of g(-7) and c.
36
Suppose 4*m = 3*m + 2. Let c = m - 0. Calculate the smallest common multiple of (-2)/(-2)*0 + c and 2.
2
Let i(d) = d**3 - d - 1. Let m(q) = -6*q**3 - 3*q**2 + 6*q + 1. Let l(k) = 4*i(k) + m(k). What is the smallest common multiple of l(-3) and 4?
36
Let v = -4168/633 - -1/844. Calculate the common denominator of v and 47/6.
12
Calculate the common denominator of 23/2 and (-2932)/376 + 6 - (-2 + 1).
94
Find the common denominator of 116/18 + -5 + 4 and 137/6.
18
Let h be 3*(-2)/(-6) - -2. Calculate the smallest common multiple of 10 and 1*-1 + (14 - h).
10
Let m(x) = 40*x**2 + 1. Let g be m(-1). Let v = g - 29. What is the least common multiple of 18 and v?
36
Let t = -9 - -11. Let s(d) = -d - 2. Let f be s(-5). Suppose -f*i + 24 = -0*i. What is the lowest common multiple of i and t?
8
Suppose -4*g + j = 4*j - 18, 4*g + 5*j = 22. Let s = g - -3. What is the lowest common multiple of s and 16?
48
Let o = 23 + -1. Suppose 4*p = -s + 92, -3*s = -p - 0*s + 10. What is the smallest common multiple of o and p?
22
Let s(o) = -o - 15. Let a be s(-13). Let u = 3 + a. Calculate the least common multiple of u and 10.
10
Let f = 66009/22 + -3001. Calculate the common denominator of f and 67/4.
44
Find the common denominator of -1*(2 + -1) - (-39)/(-90) and -50/3.
30
Find the common denominator of 15/22 and (-12)/27*(2 - 39/24).
66
Suppose 3*l = 9*l - 42. Calculate the smallest common multiple of 15 and l.
105
Suppose -k = -b + 8, 0 = 4*k + 1 + 3. Let t = 0 + 2. What is the least common multiple of b and t?
14
Let x(i) = i**2 + 2*i - 7. Suppose 0*v + 2*v - 4 = 0. Suppose -3 + 25 = v*g. What is the least common multiple of x(-4) and g?
11
Let t = -1539/4 + 370. Let v(n) = n**3 - 11*n**2 + 6*n + 13. Let o be v(10). Find the common denominator of t and o/(-15)*(-25)/7.
28
Let m(p) = 4*p**2 + 6*p - 10. Calculate the lowest common multiple of m(2) and 15.
90
Let c = -321 - -7061/22. Let y = 170/11 - 599/132. What is the common denominator of c and y?
132
Let r = 3/26 + 59/52. What is the common denominator of r and 28/(-80) + 2/((-4)/6)?
20
Suppose -8 = -4*i - 20. Calculate the common denominator of (i/18)/(1/17) and 21/5.
30
Let v(u) = -4*u - 19. What is the least common multiple of 9 and v(-10)?
63
Suppose -2*i + r - 9155 = i, 6105 = -2*i - r. Let m = -24477/8 - i. Calculate the common denominator of -7/26 and m.
104
Let t(k) = k**2 - 12*k - 9. What is the smallest common multiple of t(13) and 8?
8
Let z = -10272 + 102829/10. Find the common denominator of z and (2/12)/(0 - 2).
60
Let i be (-1)/((-15)/18 + 1). Calculate the common denominator of (0 + 1/(-2))*-97 and (-2)/i - (-98)/(-132).
22
Let w = 24 + -16. Calculate the lowest common multiple of w and 32.
32
Let p = -49047/8 + 6122. What is the common denominator of -31/6 and p?
24
Let p = 5/1502704 + -10388193467/214886672. Let n = -606/13 - p. What is the common denominator of n and -53/7?
77
Let c(z) = -z - 4. Let o be c(-6). Let q be (0 - 0) + -50 + o. Find the common denominator of -39/7 and 2/6 - 92/q.
28
Let g = -83 - -131. Calculate the lowest common multiple of g and 24.
48
Calculate the smallest common multiple of 22 and (13 - 5)*6/4.
132
Let a = 1/179 + 9842/537. What is the common denominator of 23/4 and a?
12
Suppose -5*u + 4*v + 27 = -0*u, 0 = 3*u - 5*v - 24. Calculate the least common multiple of 1 and (-16)/(-5) - u/15.
3
Suppose 2*c - 4*g = 76, 4*c - 10 = 3*c - 5*g. Calculate the smallest common multiple of c and 15.
30
Calculate the common denominator of 0*(-2)/(-6) + 147/6 and -29/2.
2
Let p = -1989 + 39763/20. What is the common denominator of p and -49/20?
20
Let h be 4/6*(-27)/(-6). Suppose -h*x = x - 2*a - 20, -3*x + 12 = -3*a. What is the smallest common multiple of x and 8?
24
Let s(g) = -4*g - 9*g**2 + 2 + 3*g**2 + 5*g**2. Let o be s(-4). What is the common denominator of (o - 3/(-4)) + 1 and 49/4?
4
Suppose -30 = -7*m + 2*m. Let o = -21 + 15. Let l = o + 10. Calculate the lowest common multiple of l and m.
12
Suppose 2*u + 5*q = 40, -2*q = -3*u + 21 + 1. What is the smallest common multiple of u and 10?
10
Suppose 3*u + 24 = -0*u. Let s = 3 + u. What is the common denominator of -22/5 and (s - -4) + (-154)/(-18)?
4