).
132
Let u(l) = -l**3 + 5*l**2 - 4. Let f = -5 + 9. Calculate the lowest common multiple of u(4) and f.
12
Suppose -y - 4*m - 26 = -3*y, 3*y - 2*m - 19 = 0. Find the common denominator of y + (76/(-72) - 3) and ((-138)/4)/(6 - -1).
126
Find the common denominator of (255/(-220))/3 + 2 and -25/24.
264
Let d = 1134/5 + -4061/20. What is the common denominator of d and (31/3)/((-2)/9)?
4
Let x = 1694 + -3457/2. Calculate the common denominator of ((-4)/(8/(-33)))/(-10) and x.
20
Let q(g) = -g**2 - 18*g - 23. Let m be q(-17). Let b = 3 - m. What is the least common multiple of b and 9?
9
Calculate the common denominator of (-1)/(-8)*(446/9 - 2) and 65/4.
36
Let l be ((-10)/50)/((-2)/10). Calculate the common denominator of 567/14 - (l - -2) and 12/7.
14
Let u(f) = 6*f - 4. What is the smallest common multiple of u(1) and 6?
6
Let g = 1511/136 + -106/17. Let l = -288 - -836/3. Find the common denominator of l and g.
24
Let n = 1 - -3. Calculate the smallest common multiple of 40 and n.
40
Let l be 5/14*1/10. Let j = l - 5/4. Find the common denominator of 41/12 and j.
84
Suppose -l - b - 5 = 0, b + b + 13 = -3*l. What is the smallest common multiple of 9 - (1 + l + 4) and 2?
14
Suppose -4*d - 25 = d. What is the common denominator of ((-10)/(-88))/(d/(-60)) and (14/8)/((-5)/(-4))?
55
Suppose 0*m = -3*m + 33. What is the least common multiple of m and 8?
88
Suppose 2*d + 90 = 7*d. What is the lowest common multiple of 12 and d?
36
Let h be (4/282)/((-3)/(-9)). Let u = h + -75/658. What is the common denominator of u and -31/18?
126
Suppose 4*t = 15 - 3. Suppose 0 = 3*z + t*b - 105, -b = -z + 4*b + 65. Calculate the lowest common multiple of 16 and z.
80
Calculate the least common multiple of 1/4 + (2 - (-6)/8) and 18.
18
Let i = -195/8 + 2335/72. Calculate the common denominator of -49/2 and i.
18
Suppose 5*x - 4*w - 6 = 0, -3*w - 30 = 4*x - 10. Let k = -555 + 783. What is the common denominator of -59/9 and k/40 - 1/x?
45
Find the common denominator of -75/4 and 87*(3 - 46/16).
8
Let k = -719255/1122 + 10930/17. What is the common denominator of k and -59/18?
198
Suppose -2 = -4*q + 5*i + 74, 3*q - 38 = -i. Let u be -11*(-53 - -3) + 0. What is the least common multiple of q and u/40 - (-1)/4?
14
Let i = 1 - -23. Suppose -5*j = -i - 21. Suppose 0 = -3*l - 5*z + 29 + 24, -3*l + 49 = 4*z. What is the lowest common multiple of l and j?
99
Let i be (9 + -1)*(-1)/(-2). What is the common denominator of ((-138)/i - -1)/(-1) and 62/9?
18
Let l(q) = 2*q - 3. Let o be l(5). Let w(v) = -55*v - 5. Let j be w(o). Let u = 853/2 + j. Calculate the common denominator of u and 35/8.
8
Suppose -4*q - 158 = -5*q + 4*t, -3*q + t = -496. Calculate the lowest common multiple of 22 and q.
1826
Suppose 3*l = -b + 38, -2*l + 3*b = -24 + 6. What is the least common multiple of l and 6?
12
Let x = -3835 + 42232/11. Find the common denominator of x and -37/7.
77
Let v = -7395/44 - -675/4. Let t = -511/88 + v. Find the common denominator of t and -45.
8
Let i = -5657/16 + 354. What is the common denominator of i and -9/4?
16
Let j be 1/(1/15*1). Suppose -2*p + 3 = -r, 4*p - p = 5*r + j. Calculate the common denominator of (-9)/132*(-190)/r and -13/18.
198
Suppose v - 4*v + 36 = 0. What is the smallest common multiple of v and 22?
132
Let z = 12 - 2. What is the smallest common multiple of 10 and z?
10
Let j = 810 - 149. Suppose -2*d = -v - 329, j = 4*d - 0*v - v. What is the common denominator of -1 - d*3/24 and -1/7?
28
Let w = -2/1733 + 77993/6932. What is the common denominator of -15/7 and w?
28
Let g = -21 + 30. What is the smallest common multiple of g and 8?
72
Let m = -8 + -10. What is the smallest common multiple of 8 and (-2 - m)/(3/3)?
16
Let g = 15416 - 1372059/89. Let l be 2/2 + (-10450)/(-2848). Let i = l - g. Find the common denominator of i and -11/12.
48
Let c = 63 - 39. What is the least common multiple of c and 15?
120
Let g be 992*(-3)/6*7. Let f = g - -31306/9. What is the common denominator of f and 58/5?
45
Suppose 4 = -4*s - 4. What is the common denominator of 61/22 and 1*s - 13/20?
220
Let c be 311272/(-5) + (-6)/(-15). Let o = -23967908/385 - c. Let a = 1/154 + o. Find the common denominator of -34/11 and a.
110
What is the common denominator of 7/12 and 5 - 4 - (2 + 88/6)?
12
Let r(d) = -7*d**3 - 3*d**2 + 3*d + 4. Let t(g) = -20*g**3 - 9*g**2 + 9*g + 12. Let j(u) = -17*r(u) + 6*t(u). What is the least common multiple of 5 and j(-4)?
40
Let d be 1/(-2*(-3)/(-54)). Let x = -20 - d. Let t = x + 25. Calculate the lowest common multiple of t and 12.
84
Suppose 52 - 2 = -5*f. Let u be (-1)/((-15)/6)*f. Let q = 15 + u. What is the smallest common multiple of q and 10?
110
Suppose -20 = -5*a, 7*u - 3*a - 48 = 2*u. Suppose n = 5*v + 39, v - 6 = -3*n + 31. What is the lowest common multiple of n and u?
84
Suppose -t - 10 = 2*a, 0 = -t - 4*a - 10. Let p = t - -15. Calculate the common denominator of ((-21)/(-150))/(2/p) and 23/20.
20
Let x = -2580/11 + 233. What is the common denominator of 2/9 + 166/(-180) and x?
110
Suppose 0 = 20*b - 24*b + 40. Let t(z) = -z**2 + 11*z - 4. What is the least common multiple of t(b) and 12?
12
What is the smallest common multiple of 9 and ((-1)/(-4))/(1/4)?
9
Suppose g - 5*g + 10 = -3*z, 3*g = 3*z + 6. Let a = z + -2. Let r(x) = x**3 + x**2 - x + 9. Calculate the least common multiple of 2 and r(a).
18
Calculate the least common multiple of 9 and (-3)/(-5) - (642/(-30) - 5).
27
Let g(k) = -k**2 + k + 18. Let c be g(0). What is the common denominator of 4/(-6) - (-257)/12 and 6/(-27) - 689/c?
4
Calculate the lowest common multiple of (1/1*11)/(3 - 2) and (-20)/(-3) - 1/(-3).
77
Suppose 1 = -q + 2. Let n(c) = c**3 + c**2 - 2*c + 1. Calculate the lowest common multiple of n(1) and q.
1
Let p = -10 + 2. Let u(j) = -j - 3. Let r be u(p). Suppose 41 + 69 = r*g. Calculate the smallest common multiple of g and 16.
176
Let l be (1/(-2))/((-5)/70). Let r = 11 - -8. Let n = r - l. What is the least common multiple of n and 4?
12
Suppose -b + 3*j - 7 = 15, 0 = -4*b - 4*j - 104. Calculate the common denominator of ((-1)/(-18))/((-1)/44) and b.
9
Let m be (-6)/(-10) - 44/(-10). Suppose -f = q + 11, 0 = -m*f - 0*q + 5*q - 85. Find the common denominator of 4/f - (-1564)/(-112) and -63/5.
20
Let x be (4/(-27))/((-2)/(-687)). Let a = 1021/18 + x. Let b = 3/2 - -46/3. What is the common denominator of b and a?
6
Let a be 1*3/(-3) + -395. Calculate the least common multiple of 6 and (-4)/14 - a/63.
6
Let a = 2 + 9. Suppose 1 = -5*v + a. Calculate the lowest common multiple of 4 and v.
4
Suppose 2*q + 3*p = p + 168, 0 = 3*q + 4*p - 248. Suppose 2*c + x - 20 = 23, 4*x = 5*c - q. Let v = -18 - -36. What is the lowest common multiple of c and v?
180
Let h be (-8*3)/(6/(-9)). Let g = h + 24. What is the common denominator of 53/20 and ((-6)/g)/(2/(-53))?
20
Let z = -12688/699 - 7/466. What is the common denominator of ((-132)/56 - -1)*3 and z?
42
Let q = 22/105 + -277/105. What is the common denominator of 33 and q?
7
Suppose -5*c - 3147 - 5538 = 0. Let f = 31295/18 + c. What is the common denominator of f and 4/10*(-780)/128?
144
Let s be (-5)/15 + (-13)/(-3). Suppose -3*h + 1 = 2*p - 26, -s*h + 40 = 3*p. Suppose t - 55 = -4*t. Calculate the smallest common multiple of p and t.
132
Let p = -7034 + 4370. Let q = -21273/8 - p. Let j = -2978/5 + 584. Find the common denominator of j and q.
40
Let v(y) = 1. Let n(j) = j + 11. Let u(l) = 2*n(l) - 18*v(l). Let i = -22844/9 + 2545. Calculate the common denominator of i and u(-4).
9
Let t = -2269/2 + 1165. What is the common denominator of t and -71/28?
28
Let t = -49 + 51. Calculate the lowest common multiple of t and 4.
4
Let l = -11213/30 + 1100/3. What is the common denominator of 38/(-15)*(-27)/6 and l?
10
Let q = 4 + -4. Let u = q - -4. Suppose u*g + 9 + 15 = 5*b, -2*b + 32 = 4*g. What is the smallest common multiple of 14 and b?
56
Let r be (-33)/(-45)*2037/2. Let o = r + -2995/4. What is the common denominator of o and 1/4 - (-83)/(-36)?
180
Let j = 1243226754485/104373566 - 4/4744253. Let h = -11915 + j. Find the common denominator of 13/14 and h.
154
Let z(s) = -s**3 - 5*s**2 + 2. Let u be z(-5). Suppose 2 - 4 = -u*j. What is the common denominator of -59/6 and -1 - (22 - (j - 0))?
6
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