6.
18
Let a = 18 + -34. Find the common denominator of -23/15 and a.
15
Suppose 5*d - 5*w = 45, -9 - 1 = 5*w. Let r = 12 - 4. Calculate the lowest common multiple of r and d.
56
Suppose -3*o + 2*f = -150, -o - 2*f + 14 = -28. What is the common denominator of 71/2 and 2 + 2/o*-134?
12
Let p = 64 - 54. What is the lowest common multiple of 2 and p?
10
Let u(t) = -t**3 + 7*t**2 + 11*t - 2. Calculate the smallest common multiple of u(8) and 10.
110
Suppose 2*s = 3*s - 20. Suppose -2*c + 5*c = -4*x - 65, -x - 13 = 4*c. Calculate the lowest common multiple of (-2 - -1)*1 - x and s.
80
Suppose -w = x - 2*x - 1, 0 = 3*w + 4*x - 31. What is the smallest common multiple of w and 11?
55
Let j = 1583 - 4684/3. Let s = 2556 - 56209/22. Let y = s + -512/11. Find the common denominator of y and j.
6
Suppose -24 = -7*g + 4*g. Suppose s + s = g. Let r(b) = b**2 - 7*b + 10. What is the smallest common multiple of s and r(7)?
20
Suppose 0 = 4*f - f + 81. Calculate the common denominator of (f/6)/(24/25) and -53/14.
112
Let f(v) = -v**2 + 6*v - 6. Let p be f(4). Suppose -p*h + 8 = 2*z, 3*z + h - 10 = -0*h. Calculate the smallest common multiple of 10 and z.
30
What is the common denominator of 284/80 - (-4)/10 and 0 + (3/3)/16?
80
Let g be (-1)/(-5) - (-6)/(-5). What is the least common multiple of g + 1/1 + 6 and 7?
42
Let k(d) = d + 4. Let l be k(-2). Suppose l*x = 4*x + 5*y - 56, 3*x - 3*y - 42 = 0. Calculate the smallest common multiple of 2 and x.
18
Suppose 6*q - 20 = q - 5*b, 0 = 4*q - 2*b - 34. Calculate the smallest common multiple of q and 8.
56
Suppose 2*r = -w + 5*r + 1, 2*w - 2 = -4*r. Suppose 0 = -3*o, -5*n + 5*o + 29 = -w. What is the lowest common multiple of n and 7?
42
Suppose 0*x + x - 120 = -4*k, -3*k - 4*x + 90 = 0. Calculate the lowest common multiple of k and 4.
60
Let p = -332 - -3661/11. Find the common denominator of -5/8 and p.
88
Let a = 2765 - 24856/9. Let s(u) = -2*u**2 - 2*u + 4. Let j be s(-3). Find the common denominator of a and (22/36)/(4/j).
9
Let f = 8 - -1. Let b = -398/15 + 6/5. What is the common denominator of f and b?
3
Let q(b) = b**3 - 5*b**2 - 7*b + 3. Let u be q(6). Let o = -1 - u. What is the least common multiple of 2/o*(-40)/(-4) and 11?
110
Let x be 8/20 - (-4)/(-10). Suppose x = 5*k - 2*k. Suppose -5*s + l + 88 = 0, -s + k*s + 24 = 3*l. What is the least common multiple of 4 and s?
36
Suppose r + 10 = 2*l + 4, 19 = r + 3*l. What is the least common multiple of r and 10?
20
Let u = -6186 + 61797/10. Calculate the common denominator of 246/(-112)*12/(-9) and u.
70
Let x = 92 - 89. Calculate the least common multiple of 4 and x.
12
What is the least common multiple of (36/16)/(12/32) and 6?
6
Let g = 117 + -97. What is the smallest common multiple of 18 and g?
180
Suppose 0 = g + 2*g - 129. Let q = g - 23. Let a = -74 + 80. What is the lowest common multiple of q and a?
60
Let k = -5/232 - 971/696. Calculate the common denominator of k and 122*((-55)/140 - 3/(-7)).
84
Let s(a) = a**2 + a. Let y be s(0). Suppose y = 5*x + 3*o + 17 - 58, -3*o - 29 = -2*x. Calculate the smallest common multiple of x and 10.
10
Let u = -2/4871 - -199719/19484. Suppose i + 27 = -5*k, 3*i + 161 = -2*i + k. Let q = -129/4 - i. What is the common denominator of q and u?
4
Let y be 739/3 - 1*-2. Let k = y - 5335/21. Let j = -53 - -500/9. Calculate the common denominator of k and j.
63
What is the common denominator of -51/2 and (-2*2/48)/(1560/7272)?
260
Suppose -6*d = -2*d - 60. What is the least common multiple of 11 and d?
165
Let x be (2/(-4)*2)/111. Let c = 4727198 + -2623594108/555. Let d = x + c. Calculate the common denominator of d and -9/4.
20
What is the common denominator of 3/(74/58 - 1) and (-35)/(-6)*3/30?
24
Let c = -1277/2128 + 135/112. Find the common denominator of 93/8 and c.
152
Let g(a) = a**2 - 5*a + 6. Let z be (-6)/(-2)*(-8)/(-6). What is the smallest common multiple of g(z) and (6/7)/((-3)/(-21))?
6
Suppose 2*w - 8 = 4. What is the smallest common multiple of 2 and w?
6
Suppose 0 = -5*r + 3*r - s + 92, 2*r = -3*s + 88. Let u be (-14)/35 + r/5. What is the least common multiple of 7 and (3/9)/(1/u)?
21
Let o = 4 + -34. Find the common denominator of -43/22 and (1/o)/(2/261).
220
Calculate the common denominator of 2/6 + 2/68*-7 and 40/33.
1122
Let a(y) = 7*y + 2. Let j be a(-6). Calculate the common denominator of -5 + ((-4047)/(-18))/19 and 7/j*18*1.
60
Let l(a) = -3*a - 21. Suppose 3*i - 5*i = -40. Calculate the smallest common multiple of l(-9) and i.
60
Let u = -19 - -10. Calculate the common denominator of -50/9 and 39/(-2)*(-15)/u.
18
Let f(c) = c**2 - 2*c + 5. Calculate the smallest common multiple of 54 and f(3).
216
Let z(i) = -i**3 + 8*i**2 + i + 6. Let p be z(8). Suppose -3*x = 2*s - p, -3*x - s + 19 = -0. Let l = 12 + -8. What is the lowest common multiple of l and x?
8
Let j = -8 + 20. Let h = -4 + j. Calculate the lowest common multiple of 16 and h.
16
Let u(f) = f**2 + 5*f + 10. Let n = 11 - -7. Suppose -2*l - 2 = -n. What is the smallest common multiple of l and u(-5)?
40
Suppose 0 = -9*x + 5*x + 48. Suppose -2*q = 10 - x. What is the least common multiple of q and 5?
5
Let u be 3*(-5)/(45/(-6)). Suppose -11 = u*c - 3*c. What is the smallest common multiple of 4 and c?
44
Let g = -5476 + 32771/6. Calculate the common denominator of 1/(-3) - (-183)/(-126) and g.
42
Let x = -74 + 210. Let m be 2 - 0 - x/73. Let a = m + -5200/657. Calculate the common denominator of 55/4 and a.
36
Let p(b) = 2*b**2 + 9*b. What is the smallest common multiple of p(-6) and 18?
18
Suppose 46 = 3*d - 5*n, 4*n - 17 = -2*d + 43. Calculate the least common multiple of d and 16.
176
Let o = 85 - 76. Calculate the smallest common multiple of 6 and o.
18
Let k = -11 - -17. Let r = -89 - -94. Calculate the least common multiple of k and r.
30
Let q = 1165 + -4420/3. Let a = q - -296. Find the common denominator of 53/4 and a.
12
Let q = -1759 - -21049/12. Calculate the common denominator of -19/6 and q.
12
What is the smallest common multiple of 16 and (-19)/(-3) + (-3)/9?
48
Suppose 0 = 2*y + y + 1395. Let h be (411/(-9))/(14/y). Let i = -1519 + h. Find the common denominator of i and -149/12.
84
Let s = -121 - -130. What is the lowest common multiple of s and 24?
72
Find the common denominator of (14/(-18))/((-2)/3) and 49/20.
60
Calculate the least common multiple of 1 - (3 - (14 - 4)) and (13 - 2) + -3*1.
8
Let o = 1366657/57342 - 1/9557. Calculate the common denominator of o and -93/46.
138
Let z = 1243 + -22339/18. Calculate the common denominator of z and -91/4.
36
Let z = -15 - -11. Let c = z + 9. Suppose 5*r - 25 = 0, -m = -c*m - 3*r + 19. Calculate the lowest common multiple of 11 and m.
11
Let s be (8/10)/((-4)/(-30)). Let r(o) = o**2 - 4*o - 8. Let z be r(s). Suppose -l - l = -z. Calculate the lowest common multiple of 8 and l.
8
Let n = -5/3279 - -144451/114765. Calculate the common denominator of n and 7/4.
140
Let g = -60331/18 - -3355. Find the common denominator of 19/8 and g.
72
Let o(t) = -3*t**2 - 4*t**2 - t**3 - 3*t - t**2 - 10. What is the smallest common multiple of 2 and o(-8)?
14
Suppose -o = 4, -3*o + 0*o - 2 = -5*r. What is the lowest common multiple of 7 and 9*(r + 4 + -1)?
63
Calculate the common denominator of (87/(-3))/(24 - 2) and -11/10.
110
Suppose 0 = t - 5*t - 24. Let p = t - -15. What is the lowest common multiple of 4 and p?
36
Suppose 3*y + 3*f = -0*y + 9, 7 = 3*y + 2*f. Suppose 4*q - 3*d - 13 = 0, -2 - 13 = 5*d. What is the lowest common multiple of 6 and q + 10 + (0 - y)?
30
Let r(n) = 9*n - 5. Let f(z) = 8*z - 4. Let b(s) = 4*f(s) - 3*r(s). Calculate the least common multiple of 10 and b(1).
20
Let c(q) = -q**3 + q**2 + 6*q - 8. Let l be c(4). Let s = 11 + 41. Let y = l + s. What is the least common multiple of 2 and y?
20
Let z = 129881/126 - 7160/7. Calculate the common denominator of z and -74/39.
234
Suppose -3*d = -4*d + 18. Calculate the least common multiple of 18 and d.
18
What is the smallest common multiple of 94/10 - (-4)/(-10) and 19?
171
What is the common denominator of -11/5 and 15/(-45) + (-14)/48?
40
Calculate the common denominator of 129/(-90) + (-1 - -3) + -1 and -95/18.
90
Let r = 2967 + -20826/7. Let g = 602 - 4803/8. Find the common denominator of g and r.
56
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