et m be (-24)/18*(-6)/h. What is the common denominator of m + 1/(-2)*-1 and -23/4?
4
Let m(c) = -4 + c + 0 - 2. Let h be m(7). Let x = h + 3. What is the least common multiple of x and 9?
36
Calculate the smallest common multiple of 24 and (13/(-5) - 6/15) + 5.
24
Suppose u + 4*o = 3*u + 200, 3*o - 95 = u. Calculate the common denominator of (2/(-10))/(u/2275) and 81/14.
154
Find the common denominator of 18/(-81) - 1670/(-144) and 99/4.
8
Let y be (-7)/(-21) - 13793/(-12). Let t = 1156 - y. Calculate the common denominator of 2/7 + (-1286)/(-252) and t.
36
Let u = -13037 + 234773/18. Calculate the common denominator of (-22)/(-5)*(-7)/(-4) and u.
90
Suppose 0 = -4*u - 3*k + 383, 5*k = -4*u + 2*u + 209. Suppose h = -4*t + 3*h + u, -70 = -3*t + 2*h. What is the lowest common multiple of t and 14?
154
Let j(a) = a + 1. Let u(m) be the second derivative of m**3/6 - 2*m**2 + 4*m. What is the lowest common multiple of j(6) and u(6)?
14
Let p be (8 + 1)*(2 - 1). Let a = -25 + p. Calculate the least common multiple of 2 + (-1 - a/2) and 10.
90
Suppose 2*n = 2*y + 3072, -2*y - 2334 - 742 = -3*n. Let f = y + 9115/6. What is the common denominator of f and -7/10?
30
Let n = -16 + 46. Suppose -2*z + n = z. What is the lowest common multiple of 6 and z?
30
Suppose 6*q = 7 + 11. What is the lowest common multiple of 11 and q?
33
Suppose 6*d - d - b - 215 = 0, -d = 3*b - 59. Suppose 3*m + d = -5*q + 2*m, -q + 4*m - 13 = 0. Find the common denominator of -5/8 and (12 + 1)*q/(-66).
88
Let g(i) = -i**2 - 14*i - 16. Let f be g(-11). Suppose 2*r + 2*r + 5*j = 1, -f = -5*r - j. What is the lowest common multiple of 20 and r?
20
Let u = 17 - 22. Let w(m) = m**3 + 5*m**2 + 4. What is the least common multiple of 8 and w(u)?
8
Suppose 0 = -2*p - 3*z + 5, 4*p = z + 41 + 4. What is the smallest common multiple of p and 20?
20
Let s = 3 + -1. Suppose -2*p - 5*v = -9, -s*v + 0*v + 10 = 4*p. Calculate the lowest common multiple of 6 and p*5 - 6/3.
24
Let l(y) = -6*y**3 + 2*y**2 - y - 5. Let v be l(-4). Calculate the common denominator of 8/5 and v/(-42) + 4/(-14).
30
Let w be (-411)/(-174) + 1/(-2). Let y = w - -699/232. Calculate the common denominator of y and -29/12.
24
Suppose -c = 4*c - 15. Suppose 46 = c*l + 4*x, 4*x = -0*l + 5*l - 130. What is the lowest common multiple of l and 12?
132
Let i = 45 + -23. Calculate the least common multiple of 4 and i.
44
Let t(s) = 2*s**3 - 2*s**2 + 3*s - 10. What is the least common multiple of 4 and t(2)?
4
Suppose 2*o + l - 1 = 0, -19 = -4*o + 2*l - 5. What is the least common multiple of 6 and o?
6
Let b = -3573/490 - -9/98. Let x(o) = 187*o**2 + 2*o - 2. Let t be x(-2). Let l = 2985/4 - t. What is the common denominator of b and l?
20
Let s = -2/6835 - -512641/54680. Calculate the common denominator of ((-387)/(-12))/(-3) + -3 and s.
8
Suppose 0 = b - 5*b + 80. Let i = -1 + 9. What is the smallest common multiple of b and i?
40
Let i = -2/10755 + 77554/634545. Let l = i + 1213/1180. What is the common denominator of 25/16 and l?
80
Suppose -2*r = 3*r + 105. Calculate the common denominator of r and -131/6.
6
Let t be ((-47)/(-102))/(3/(-27)). Let i = t + -749/51. What is the common denominator of 9/14 and i?
42
Suppose 0 = 4*o - 1818 - 262. Suppose 3*b + o = -b. Calculate the common denominator of 4/6 - b/(-42) and -145/6.
42
Let l(t) = 2*t. Suppose 33 - 5 = 2*b - 2*p, 2*p + 9 = b. Let y = b + 1. What is the least common multiple of l(4) and y?
40
Let o = -52883/10 - -5281. Find the common denominator of 101/18 and o.
90
Let s = 15 + -9. Let q(t) = 3*t**3 - 5*t**2 - 3*t. Let k be q(4). Suppose 2*u + 3*u = k. What is the least common multiple of s and u?
60
Suppose -2*b - 5 = -9. Suppose 0 = b*k + 3*k - 30. What is the lowest common multiple of 8 and k?
24
Suppose -39 = -5*k + 3*i, 0 = 2*i - 3*i - 3. Let w(s) = s**3 + 3*s**2 - 6*s - 2. What is the lowest common multiple of k and w(-4)?
6
Suppose -2*m = -0*m + 118. Let j = 1029/2 + -490. Let z = m + j. What is the common denominator of 44/9 and z?
18
Suppose -62 = -3*t - 17. Let r be 6/t + 22/(-5). What is the common denominator of 2/r*76/(-24) and -97/4?
12
Let r = -3 + 1. Let q(j) = j**2 - 3*j + 1. Calculate the lowest common multiple of 1/(r/6*-3) and q(5).
11
Suppose 0 = 4*s - 0*s - 72. Suppose k = 2*k - s. Let a = k + -13. Calculate the lowest common multiple of 5 and a.
5
Let y(l) = -2*l + 4. Suppose -4*a + 7 = -25. Calculate the smallest common multiple of y(-3) and a.
40
Find the common denominator of (-2)/60*11815/34 and -3/8.
24
Let k = -4 - -6. Suppose -y + 6 = -3*y. What is the lowest common multiple of 2 - ((y - k) + 1) and 2?
6
Let w be 245/820 - 2/(-8). Let u = 49160 - 2017571/41. Let j = u + w. What is the common denominator of -69/10 and j?
10
Let x = 13 + -7. Calculate the common denominator of -17/4 and x/(-5)*45/(-28).
28
Let o = 17023/48 - 1060/3. Let g = -5643 + 112893/20. Calculate the common denominator of o and g.
80
Let r be (135 - 1)*3/(-6). Let w = r - -533/8. Calculate the common denominator of w and -38/7.
56
Suppose 0 = -0*x - 2*x. Suppose x = 2*l - 8, 4*g + l = -g + 29. Suppose 34 = 4*m + 3*v - 0, g*v - 31 = -3*m. Calculate the least common multiple of m and 4.
28
Let m = 426748899/174454 + 212/12461. Let o = m - 2439. Let v = -1477 - -23683/16. Find the common denominator of v and o.
112
Let z = 77 - 36. Let w be (z/7)/(1*-4). Let y = 1181/252 + w. What is the common denominator of y and -51/5?
45
Suppose g - 7 = i, -16 - 9 = -3*g + i. Suppose 0*t - 2*t = -16. Calculate the lowest common multiple of t and g.
72
Suppose -3*j + 2*f - 2176 = 0, -f + 1805 = 5*j + 5436. Find the common denominator of ((-18)/(-81))/(16/j) and 35/6.
12
Suppose -t + 2 - 1 = 0, -5*t - 39 = -2*z. Calculate the lowest common multiple of z and 38.
418
Let a = 946915/3 + -312847. Let p = a - 2815. Let r = 5/11 - 1/99. What is the common denominator of p and r?
9
Let r(s) = 2*s**2 + 11*s - 3. Let f be r(-6). Let k(p) = p**3 - 3*p**2 + 4*p - 3. Calculate the smallest common multiple of k(f) and 10.
90
Suppose x + 2*x = 33. Let f = 4 - 4. Calculate the lowest common multiple of (f - (-8)/2)*2 and x.
88
What is the common denominator of 4/(-18) + 1172/(-72) and -11/9?
18
Let g(l) = l + 2. Let p = -1 - -13. Calculate the least common multiple of p and g(0).
12
Let q = -3 + 5. Suppose 0 = q*r - 34693 + 6921. Let i = r + -194305/14. Calculate the common denominator of i and -53/22.
154
Let v = 6 + 1. Let l(c) = c**2 + c - 2. Calculate the lowest common multiple of l(3) and v.
70
Let t be (7 + -297364)*(-4)/(-6). Let i be (-12)/(-18) - t/120. Let s = 1652 - i. What is the common denominator of s and 51/22?
220
Let x(y) = -y + 7. Let j be x(4). Suppose 1 + 65 = j*v. Suppose -4 = u + u, m = -u. Calculate the smallest common multiple of v and m.
22
Let z(q) = -q**3 + 4. Let w be z(0). Suppose 2*h - 2*a + 14 = 5*h, 2*a = w*h. Let y = -1 + 17. Calculate the smallest common multiple of h and y.
16
Calculate the smallest common multiple of (-4 - -8) + (0 - -2) and 32.
96
What is the common denominator of (((-576)/135)/(-4))/((-4)/6) and ((-42)/4)/((-10)/4)?
5
Suppose 15 = -5*t + 5*j, -4*t + 2*j + 3*j = 17. Suppose -3*p = -1 - 32. What is the least common multiple of p and t?
22
Let r = 971/55 + -170/11. Suppose -4*v - 61 = i, 5*i = 6*v - 3*v + 17. Calculate the common denominator of r and -2 + (2 - (-40)/v).
35
Let f be ((-215843)/(-5))/((-66)/15). Let b = f + 9813. Calculate the common denominator of -33/2 and b.
22
Suppose -2*a = -2*i - 5 - 3, -5*a - 2*i = -27. Let s(l) = l**3 + 5*l**2 - l + 6. What is the smallest common multiple of s(-5) and a?
55
What is the common denominator of 10/(-4)*11/(330/558) and 2/(-3) + 130/(-12)?
2
Let x be (-260)/(-28) - 2/7. Suppose -2*p + 5 = w - 10, -3*p + x = 0. Calculate the lowest common multiple of 11 and w.
99
Let a = 23726561281390689 - 256106495502478531751677/10794084. Let d = a + -3/257002. Let o = d + -127/7. Calculate the common denominator of o and 35/2.
12
Let q be 697/12 - (-10)/15. Let h = q - 59. Find the common denominator of -61/6 and h.
12
Find the common denominator of -41 and (-65)/3 + (6 - 4).
3
Let p be 2/(-12) + 245/30. Suppose 0 = 6*d - 10*d + p. What is the least common multiple of 18 and d?
18
Suppose 2*d - 90 = -4*s, d 