0. Suppose 4*j = j + 36. Calculate the common denominator of 5/3 and (-1 + j)*10/v.
9
Let k be 2/6*(-72192)/22. Let t = -1095 - k. Calculate the common denominator of t and -32/11.
11
Suppose -2*p + 3*i + 4 = 0, -5*i + 10*i - 20 = -2*p. Let x = -3 + p. What is the common denominator of 41/18 and ((-66)/(-80))/((-3)/x)?
180
Calculate the lowest common multiple of (-6)/(-21) + -3 + (-246)/(-21) and 5.
45
Let r = 32 - 25. Suppose -4*h = -0*h - 4. What is the least common multiple of r and (2/h)/((-4)/(-22))?
77
Let s(n) = -n. Let j be s(-3). Suppose 1 + 5 = j*w. What is the smallest common multiple of (-1 - (-3)/6)*-36 and w?
18
Suppose -4*t + 1 = -3. Let a = 7 - -2. What is the least common multiple of a and (-22)/(-4) - t/(-2)?
18
Let d be 1/((-4)/(-1 + -35)). Suppose 0 = -2*u + 7 + d. What is the smallest common multiple of 4 and u?
8
Let t = -3112/3 - -1023. What is the common denominator of -18/7 and t?
21
Let o = -373/30 - -31/30. Let x(h) = h**3 - 4*h**2 - 13*h + 8. Let l be x(6). Calculate the common denominator of o and 20/30 + l/6.
5
Suppose -a - 199370 = -2*a. Let b be a/(-25) + (-2)/10. Let u = -159549/20 - b. What is the common denominator of -7/16 and u?
80
Let u = -9 - -6. Find the common denominator of ((-2)/(-4))/(u/58) and -81/8.
24
What is the common denominator of (-3)/9 + (-670)/375 and -69/2?
50
Suppose 1 = -3*o + 10. Calculate the least common multiple of 11 and o.
33
Let a = 1741 - 12234/7. Calculate the common denominator of a and ((-26)/(-8))/(6/(-21)).
56
Let j = -350/51 - 33/34. Find the common denominator of j and 75/8.
24
Suppose -u - 3*y = 5, -2*u - 3*y + 7*y = 20. What is the smallest common multiple of 11 and 28/u*1*-2?
77
Suppose -2*f - 2*m + 964 = 0, -f - 184 = -m - 668. Let u = f - 3803/8. What is the common denominator of -44/3 and u?
24
Let a = 523/483 + 1/1932. Find the common denominator of -15/4 and a.
12
Let h = -334/3 - -982/9. What is the common denominator of 67/9 and h?
9
Suppose -5*b = -b - 12. Suppose -b*h - r = -122, -5*h + 108 = r - 98. Suppose -t = -4*n + h, 2*n + 2*t = n + 6. What is the lowest common multiple of 3 and n?
30
Let j = 1/1463 - 2661/1463. Find the common denominator of j and ((-14)/4)/(8/10).
88
Let z = 17 - -3. What is the least common multiple of 14 and z?
140
Let q = 179/290 + -47219/104690. Let k = q + 22143/3610. Calculate the common denominator of k and 117/14.
70
Let x be (-10)/14*(-4)/30. Let f = x - 163/168. Find the common denominator of -1 - (34/(-44) + 1) and f.
88
Suppose 2*c - c = 39. Find the common denominator of c and 101/2.
2
Let j(d) = -d - 10. Let r be j(-8). Let n be 0*(0 - 1/r). Suppose -3*z + 3 + 33 = n. Calculate the lowest common multiple of 2 and z.
12
Let w be 2 + (-1)/((-2)/4). Suppose z = 2*z - w. What is the lowest common multiple of z and 2?
4
Let s(x) = -x**3 + x**2 + 16. Suppose 0*v + 16 = -2*v. Let y(h) = -h**2 - 10*h - 12. What is the lowest common multiple of y(v) and s(0)?
16
Let u(z) = -z**3 + 19*z**2 - 14*z - 48. Calculate the smallest common multiple of 12 and u(18).
24
Let g be ((-15)/7)/(8/77). Let n = g + 14. Find the common denominator of n and -33/14.
56
Let f = 44 + -22. Let h(u) = -u**3 + u**2 - u + 44. Let k be h(0). What is the smallest common multiple of (-2)/4*k/(-1) and f?
22
Let n be -3 - -1 - (-9824)/(-18). Let p = n - -98321/180. What is the common denominator of -21/20 and p?
20
Let t(a) = -a - 124. Let r be t(0). What is the least common multiple of r/(-7) - 6/(-21) and 22?
198
Let r be -1 + ((-1385)/48)/(-1). Let q = 293/12 - r. Find the common denominator of 71/18 and q.
144
Suppose -5*a + 10 = -3*a. Suppose 7 + 13 = a*s. What is the lowest common multiple of s and 18?
36
Suppose 0 = -4*x + 4*j + 34 - 2, 40 = 5*x - 4*j. What is the lowest common multiple of 6 and x?
24
Let x = -4 - -13. Let v(u) = -u**2 + 9*u - 12. Let o be v(8). Let s(z) = z**2 + 3*z + 1. What is the smallest common multiple of s(o) and x?
45
Let l(o) = 2*o**3 - o. Let h be l(-1). What is the lowest common multiple of 106/6 + h/(-3) and 4?
36
Suppose 3*b - 5 = 4*i + i, -5*i - 4*b = -30. Suppose 4*c + 30 = 2*c. Let r = c - -35. Calculate the least common multiple of r and i.
20
Calculate the common denominator of 298/48 - 26/78 and -32.
8
Let d = -27 - -38. Let u(z) = 3*z**2 + z. Calculate the least common multiple of u(-2) and d.
110
Let x = 211 - 206. What is the lowest common multiple of 141 and x?
705
Let u = 659515/78918 - -1/5637. Calculate the common denominator of u and 11/8.
56
Let c = -124/89 + 5741/1246. Let g be (-236)/(-12) + (-1)/(-3). Calculate the common denominator of c and 6/(-11)*(-115)/g.
154
Let p(h) = 2*h**2 - 2*h - 2. Let x = -11 + 6. Calculate the smallest common multiple of p(4) and x/(2/(2 + -10)).
220
Suppose -5*u - 5*j = -10, u - 5*j + 5 = 25. Let y = -4 + u. Suppose y = 4*o - 7. Calculate the least common multiple of o and 6.
6
Let g(f) = -23011*f**2 - f. Let i be g(1). Let w be 163003/3*6/i. Let j = w + 2/17259. What is the common denominator of j and -13/16?
48
Let b = 6739/4 + -1697. Calculate the common denominator of b and (-6)/8 + (-119)/20.
20
Suppose 4*x - 25 = -5*a + 3, 0 = 2*x + 2*a - 16. What is the common denominator of 531/x*(-2)/(-9) and 91/8?
24
Let k = -10 - -19. What is the least common multiple of 9 and k?
9
Find the common denominator of -145/6 and (-3)/15 + -2 + (-462)/40.
12
Let z be (-71)/(-60)*3231/(-2). Let o = -9499/5 - z. Let d = -1/530 + -3309/1855. Find the common denominator of o and d.
56
Suppose -k - 3 = -2*k, -5*k = -5*m + 150. Suppose -4*r + 15 + m = 0. What is the lowest common multiple of 4 and r?
12
Let d(n) = n**2 + 5*n - 4. Let r be d(-7). Let u(g) = -g**3 + 9*g**2 + 13*g - 12. What is the lowest common multiple of 6 and u(r)?
18
Suppose -2*w + 81 = -2*q + 5, 3*w + 12 = 0. Calculate the common denominator of (15/q)/(30/665) and 49/6.
12
Let a = 8 + -14. Let d(s) = 8*s + 6. Let r be d(a). Find the common denominator of -47/18 and (-4)/6 - 37/r.
126
Suppose -3*z = z - 72. What is the smallest common multiple of 18/(-3*3/(-9)) and z?
18
Find the common denominator of -37/2 and ((-2)/(-96)*2)/((-3)/(-426)).
12
Suppose 0 = -3*s + 3*b + 38 + 1, -25 = 5*b. Calculate the lowest common multiple of s and 310.
1240
Let b = 3 + 15. Let g(r) = -9*r**3 - 2*r**2 - r. Let n be g(-1). Suppose z = -z + n. Calculate the smallest common multiple of b and z.
36
Let f = 27 + -17. Suppose 0*b = 5*b - f. Suppose -18 = i - 4*i. Calculate the lowest common multiple of b and i.
6
Find the common denominator of 33/49 and 24/10 - (-3 + (-12)/(-4)).
245
Let x = -1828 - -38380/21. Calculate the common denominator of x and -37/24.
168
Let t = 2569/15 + -1521/10. What is the common denominator of -55/18 and t?
18
Let b = 9 + -5. Let n be (-10)/(-6) - 3/(-9). Suppose -q = -4 - 1, -n*y + 3 = -3*q. Calculate the smallest common multiple of y and b.
36
Let w be 8046/(-165) + 4/10. Let d = w + 4905/88. Calculate the common denominator of d and -57/14.
56
Let f(l) = l - 5. Let j be f(5). Let g be 10/2 + j - 2. What is the common denominator of (g/20)/(5/330) and -13/2?
10
Let n be 3/(-1)*(-16)/(-3). Let g = -9 - n. What is the smallest common multiple of g and 5?
35
Let a = -17 - -21. What is the smallest common multiple of 3 and a?
12
Let a(u) = 2*u**2 - 3*u - 5. Calculate the lowest common multiple of 6 and a(5).
30
Let r = 127 - 121. What is the smallest common multiple of r and 50?
150
Calculate the common denominator of -47/14 and (-25)/12*-1 + 2.
84
Let r(d) = 16*d**3 - d**2 - 2*d - 1. Let b be r(-1). Let a = -8 - b. Calculate the lowest common multiple of 12 and a.
24
Suppose -2*f + 4*f = 16. Let n = f - 2. Calculate the least common multiple of n and 14.
42
Let a = -1/251 + -2249/2510. Find the common denominator of 27/10 and a.
10
Let l = -1195/9 + 269/2. Find the common denominator of l and 127/24.
72
What is the common denominator of 4/(-6)*(-282)/(-44) and (63/84)/(0 + (-2)/5)?
88
Let n be -1*2/(4/42). Let b = n - -30. Let o = 73 - 72. Calculate the lowest common multiple of b and o.
9
Let d be ((-2939)/(-2))/(801/27). Let o = 3/89 - d. Find the common denominator of o and -37/38.
38
Let h be (-4)/20 - 39/5. Let m be 2/6 + h/(-3). Suppose m*c + c - 32 = 0. What is the lowest common multiple of 2 and c?
8
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