
Let p = -56 + 58. What is the least common multiple of p and 22?
22
Let v be ((-12)/(-14))/(6/84). Let k = v + -8. What is the least common multiple of 18 and k?
36
Let k be (16/(-5))/(-4)*25. Suppose -j - j - 4*y + k = 0, -4*j = -2*y - 60. What is the smallest common multiple of j and 14?
14
Let o be 2/(-4)*(6 - 4). Suppose u - 8 = -u. Calculate the least common multiple of 9 and 2/o - u*-1.
18
Let s be 2/3 - 763259/(-168). Let x = 4553 - s. Find the common denominator of x and -53/6.
24
Let r = 56 + -24. Suppose -12*w = -14*w + r. Calculate the least common multiple of 6 and w.
48
Calculate the common denominator of (-135)/(-48)*2 + -2 and 1006/80 - (-3)/(-15).
8
Let h(c) = c - 6. Let l be h(3). Suppose 2*z + 3 - 19 = 0. Calculate the smallest common multiple of -2 + 1 - 1*l and z.
8
Let f = 49861/2238 + -42/373. Find the common denominator of f and 5/14.
42
Suppose 4*m - 24 = -8. What is the lowest common multiple of (-6)/(-5)*(-10)/(-3) and m?
4
Let v be (-30)/(-6)*24/(-15). Calculate the common denominator of v/10*(-118)/8 and 87/10.
10
Suppose -3*l + 4*l + 8798 = 0. Let j = l + 158225/18. Find the common denominator of j and -11/6.
18
Calculate the common denominator of 10/16*(-4)/((-20)/(-31)) and -73/64.
64
Let k(a) = a**2 - a - 6. Let b be k(5). Suppose b = m - 0*m. What is the lowest common multiple of m and 6?
42
Suppose -2*j - 120 = 2*j. Let d be (-1 + j/22)*-3. Let x = d - 74/11. Calculate the common denominator of x and 3/5.
55
Suppose 0 = 34*r - 24*r - 600. Calculate the smallest common multiple of 4 and r.
60
Let h(i) be the second derivative of -i**3/6 + 11*i**2/2 - 2*i. Let o be h(8). Calculate the common denominator of -11/10 and ((-852)/(-112))/(o/2).
70
Let i(u) = 10*u**2. Let t be i(1). Suppose 0 = 2*g - 1 - 1. Calculate the lowest common multiple of t/2 - 2 - 2 and g.
1
Let r = 2 + -2. Suppose g - 2 + 0 = r. What is the least common multiple of 1 and g?
2
Let s = -16844/7 + 304109/126. Calculate the common denominator of s and 87/2*1/(-9).
18
Let a(h) = -h**3 + 2*h**2 + 0*h**3 + 3*h**3 - 3. Let p be a(-3). Let b = p - -57. What is the lowest common multiple of b and 14?
126
Let n = -11/9 - 19/36. What is the common denominator of -1 - ((-69)/30 + 1) and n?
20
Let f be (46 - 0)*(-1)/(-2). Suppose 5*m - p = -0*p + f, -16 = -m + 4*p. Suppose -z = 4, 2*y = -z + 4 - 0. Calculate the smallest common multiple of m and y.
4
Let l = 2082 + -33345/16. What is the common denominator of 418/(-180) - 6/15 and l?
144
Let d = 29339/6 + -4906. Let q = 154925/19458 + -19/1081. Calculate the common denominator of d and q.
18
Suppose -18*o = -83 - 115. Let m = 4 + -9. Let t(d) = -d**3 - 6*d**2 - 6*d + 3. Calculate the lowest common multiple of t(m) and o.
88
Let m = 1/1749 + 29725/13992. What is the common denominator of 35/9 and m?
72
Let s = -3521/66 + 343/6. What is the common denominator of (33/(-11) - 54/(-14)) + 2 and s?
77
Let d be (1 - (1 + -3))/1. Suppose -f - 2 = -0*f, -d*v + f + 32 = 0. Let p(c) = -c**3 + 9*c**2 - 9*c + 10. Calculate the lowest common multiple of v and p(8).
10
Suppose -2*o = -3*z + 41, o = -3*z - 2*o + 21. Calculate the least common multiple of z and 9.
99
Let n = -154 + 160. What is the lowest common multiple of 2/6 + (-15)/(-9) and n?
6
Let j(u) = -7*u + 50. What is the lowest common multiple of 36 and j(5)?
180
Let x(v) = -3*v**3 + 5*v**2 + v + 2. Let m be x(4). Let n = 148 + m. Suppose -2*c - c = -n. Calculate the smallest common multiple of 4 and c.
28
Suppose 5*j = 10, -m = -0*m - 3*j - 10. Calculate the lowest common multiple of ((-42)/(-4))/((-3)/(-4)) and m.
112
Let r be (-4)/(-10) - 35548/(-12180). Let j = r + 3/203. Find the common denominator of ((-4)/18)/(6/(-96)) and j.
9
Let s = -4 + 12. Suppose -4*n - 5 = -45. Calculate the smallest common multiple of n and s.
40
Suppose u = -3*u - 212. What is the common denominator of (-2)/(-5) + 317/45 and ((-4)/(-6))/((-2)/u)?
9
Suppose -3*t + t + 10 = 0. Suppose -20 = t*g + 5*j, 3*g + 9 = 2*g - 2*j. What is the common denominator of -19/2 and g/(-4) + (-187)/20?
10
Let g = 61514/7 + -8928. Let w = g + 946/7. Find the common denominator of w and 1 - -1 - (-102)/9.
21
Suppose -2*g - 26 = -70. Calculate the smallest common multiple of g and 22.
22
Suppose 4*t + 4 + 4 = 0. Let m(y) = y**2 - 1. Let f be m(t). Suppose -3*x = -4*k + 3*k + 19, -3*x = -f*k + 27. What is the least common multiple of 8 and k?
8
Let y = 142802/44497643 + -16/5393. Let h = y + 528058/24753. What is the common denominator of h and 290/12 + 0 + -1?
6
Let c = 4/489 - 21035/978. Find the common denominator of c and 6/(-15)*7/4.
10
Let l = 44859 - 3409335/76. Let f = -821/190 - l. Find the common denominator of f and (-4 + 0 + 3542/(-28))/(-3).
20
Suppose 4*y = -2*d - 2002, 3*y + 0*y - d + 1504 = 0. Let g = 2027/4 + y. Let h = -11077 - -243743/22. Calculate the common denominator of h and g.
44
Suppose -6*h = -156 - 84. What is the smallest common multiple of h and 30?
120
Find the common denominator of -35/3 and ((-206)/(-8))/((-70)/28).
30
Let t = 1/16578 + -34949/29724354. Let k = 91453/8965 + t. Calculate the common denominator of k and -6*18/(-44) + -1.
55
Let f be (-2)/460*-226 - 1. Let b = f - -3127/1265. Calculate the common denominator of b and (-74)/14*2/(-2).
77
Let w be 3/3*1/1052. Let j = -54697/7364 - w. Let g = j - -453/28. Calculate the common denominator of 65/14 and g.
28
Let g be (-3)/(-6)*6 + -10. Let q = 9 + g. Let i(j) = -2*j**3 + j**2 + j + 2. What is the smallest common multiple of i(-2) and q?
20
Let w = -5934 - -59429/10. What is the common denominator of w and (-16)/24 - 418/(-24)?
20
What is the common denominator of 6*23/33*(-3 + 2) and -1 + (-1)/((-16)/98)?
88
Calculate the common denominator of 1/(-14)*(4 + (-190)/6) and 73/8.
168
Let z = 187256/43 - 4354. Let k = -579/301 - z. What is the common denominator of (52/56)/((-3)/(-18)) and k?
7
Let s = 5 + -6. Let k be (3 + s)/(3/12). Suppose -4*w - k = -6*w. What is the lowest common multiple of 14 and w?
28
Let l = 53359 - 2240975/42. What is the common denominator of l and 49/33?
462
Let j = -7775/8 + 24791/24. Let z = j + -1643/24. Calculate the common denominator of z and 91/44.
88
Suppose 2 = -6*w + 26. What is the lowest common multiple of 2 and w?
4
Suppose -3*f + 2*w = -5, 0*f + 2*w = 5*f - 15. Suppose -3*o + 20 = p - 6*o, -128 = -f*p + o. What is the smallest common multiple of 20 and p?
260
Let c(o) = o**2 - 8*o + 9. Let r be c(8). What is the lowest common multiple of 14 and (-2)/r - 330/(-27)?
84
Calculate the least common multiple of 35*4*4/80 and 4.
28
Let p = 2013 + -8013/4. Let k = -4188 - -16841/4. Calculate the common denominator of p and k.
4
Let l be 4/(-6)*(-43 + 1). Calculate the common denominator of (3/2)/((-20)/l) and -37/3.
30
Suppose -63 = 3*v + 5*n - 259, -5*v = n - 312. Let t = -22135/2028 + -1/507. What is the common denominator of t and (2/22)/(4/v)?
132
Let w(k) = k**2 - 3*k - 2. What is the least common multiple of w(-2) and 0 + (1 - 3 - -3)?
8
Let m be -10*((-26651)/8885 + 3). Let r = m + -150981/14216. What is the common denominator of r and 83/12?
24
Let a(v) = -v**3 + 5*v**2 - 2*v - 5. Suppose 4*x = -3*c - 74, 2*x - 57 = 4*c - x. Let i = -17 - c. Calculate the lowest common multiple of i and a(4).
3
Find the common denominator of 29/3 and 67/(-48) - (-6)/(-9).
48
Let w(a) = a**2 + 9*a + 8. Let m be w(-8). Find the common denominator of 17/(-2)*2/(-8) and ((-214)/8)/(m + 5).
40
Let a = 2990/3 - 1006. Suppose -40 = o + o - 2*z, -3*z = 4*o + 52. Find the common denominator of (66/o - 0) + 2 and a.
24
Let j(l) = -l + 1. Let h be j(1). Suppose 0 = -4*o - h*o + 8. Suppose 2*p + o*i - 11 = 13, -p + 13 = 2*i. What is the smallest common multiple of p and 7?
77
What is the lowest common multiple of (-2 + -2)/2 - -16 and 12?
84
Let i(f) = 6*f**2 - 5*f - 2. Let k(p) = 7*p**2 - 6*p - 1. Let v(r) = 6*i(r) - 5*k(r). Let b be v(6). Find the common denominator of b/(-4)*(-8)/(-4) and 149/6.
6
Let y = 32 + -22. What is the least common multiple of y and 8?
40
Let x = 125 - 58. Suppose 45 = 3*b - z, 5*b = -0*z - z + x. What is the lowest common multiple of b and 12?
84
Let k(j) = 5*j**3 + j**2 - j - 1. Let a be k(-1). What is the common denominator of (-562)/24 + 4/6 and 1014/420 - a/14?
2