e -3*p + p - 18 = 0. Let g = p + 15. Calculate the smallest common multiple of ((-3)/6)/(2/(-16)) and g.
12
Let b be (-2)/(-4) + (-32753)/2504. Let d = 14/313 - b. Calculate the common denominator of 85/2 and d.
8
Let c = 55 + -11. Suppose 2*r - 124 = -0*r. Let p = r - c. What is the smallest common multiple of 14 and p?
126
Suppose 2*s = 4*a - 514 - 1416, s + 3*a = -975. Let c = s + 3969/4. Find the common denominator of 70/3 and c.
12
Suppose i + 3 = 3*w - 4, -3 = w + i. Calculate the lowest common multiple of w and 1.
1
Suppose u + 4*u - 5 = 0. Suppose -b - 11 = -4*g, 3*g - u + 4 = 2*b. What is the smallest common multiple of 9 and b?
9
Suppose -4*f + 3*n = -16, 2*f + 0*f + n = 8. Calculate the smallest common multiple of (8 + 2)*2/f and 3.
15
Suppose -m = -5*c + 4*m - 5, 2*c - m + 2 = 0. Let b(q) = -7*q**3 + 2*q**2 + q. What is the lowest common multiple of b(c) and 12?
24
Suppose 5*a = -4*h + 2, 5*h + a - 6*a = 25. Let r be (887/h)/(1/3). Let c = r + -1843/2. Find the common denominator of c and 7/11.
22
Let r = -257/48 - -49/24. Let f = 81763/10 - 8183. What is the common denominator of f and r?
80
Let s(y) = 3*y - 11. Suppose 3*u - 2*z - 32 = -z, -5*u + 5*z + 70 = 0. Let h = 13 + -7. What is the smallest common multiple of s(u) and h?
48
Let d be (5/(-6))/(16/111570). Let n = -5808 - d. Calculate the common denominator of n and (-1)/35*15/6.
112
Let t(z) = z**2 + 6*z + 20. Suppose 4 = -4*a, 5*q - 2*q - 61 = a. Suppose 4*n - q = 0, 2*p + 0*p = n + 27. What is the least common multiple of t(-6) and p?
80
Suppose -2*x = x - 12. Suppose -x*n - 50 = -9*n. What is the smallest common multiple of n and 8?
40
Let i = -89344/51 - 82/17. Let a = i + 1774. Find the common denominator of a and 46.
3
Let p = 324031/20 - 16205. Calculate the common denominator of p and 65/22.
220
Let g(z) = -z**3 + 3*z**2 - 1. Let y be g(3). Let s be (y/10)/(1038/(-28)). Let r = s + -9659/2076. Calculate the common denominator of r and -45/2.
20
Let f be -1 + 3 + (-3 - 4). Let b = 0 - f. Suppose -3*i + 17 = -2*a + 52, 0 = 2*a + b*i + 5. Calculate the smallest common multiple of a and 8.
40
What is the common denominator of 39/4 and 1013*(-2)/(-84) + (-66)/231?
12
Let o = 7163/5340 + 9/356. Find the common denominator of o and -119/30.
30
Let p = -531/52 + -85/13. Let j be (-25)/(-12)*356/10. Let o = -101/2 + j. What is the common denominator of p and o?
12
Let s be 6/4*4/6. Let l = 5431/18 - 304. Find the common denominator of s/1 + (-89)/20 and l.
180
Let d = -1 + 9. What is the common denominator of 41/6 and (1 - 29) + d/8?
6
Let h be (8/4)/(4/6). Suppose l = h*a + 5*l - 782, 4*l + 4 = 0. Calculate the common denominator of ((-3)/(-36))/(1/a) and 62/9.
18
Let r = 3337/664 - -29/83. What is the common denominator of -35/4 and r?
8
Calculate the common denominator of ((-140)/90)/((-4)/3) and 7/78.
78
Let l = 1043 + -2163/2. Calculate the common denominator of l and -67/10.
10
Suppose 3*m - 4*c = -2*m + 22, -3 = c. Let v = 2 - -3. Suppose -h - 4*h + v = 0. What is the lowest common multiple of m and h?
2
Let m(n) = -n - 5. Let r be m(-3). Let o(w) = -9*w. Let d be o(r). Find the common denominator of 45 and (296/d)/(2/3).
3
Let z = 1 + 6. Find the common denominator of (z + -1)*222/54 and 53/7.
21
Suppose 0 = 4*y + 2*n - 20, 0 = -y + 5*n - 3*n. Let a = -3 - -4. What is the lowest common multiple of a and y?
4
Suppose 0 = -4*o + o, 0 = -2*t - 3*o + 128. Suppose -5*i + t = -4*m + 18, 0 = -5*i - 3*m + 53. Calculate the smallest common multiple of 2 and i.
10
What is the lowest common multiple of 2 and (-2 - -19)/1 + -3?
14
Let k = 2594 + -51857/20. Calculate the common denominator of k and -47/18.
180
Let j(n) = -2*n**3 - n**2 - 2*n - 1. Let q be j(-1). Let t be 1/(-2)*q*-32. Suppose -t = m - 5*m. Calculate the least common multiple of 10 and m.
40
Let v(a) = -a**3 + 16*a**2 + 10*a - 8. Let s be v(-10). Let g = 27369/11 - s. Calculate the common denominator of 121/10 and g.
110
Let j = 4483691437 + -30036248881928/6699. Let s = 2/957 + j. Calculate the common denominator of s and -71/8.
56
Suppose 0 = 3*t - c + 76, 2*t = 2*c + 2*c - 34. Let r = t - -37. Calculate the lowest common multiple of 3 and r.
30
Let o = -14 + 24. Let v be 0*(-1)/(-2)*1. Let p = o + v. Calculate the least common multiple of p and 2.
10
Let n(h) = 6*h**2 + 2*h + 1. What is the lowest common multiple of -3 + 5 - (-1 - -2) and n(-1)?
5
Let i be 1*-3*(-15815)/825. Let y be (368/22)/((-2)/(-8)). Let u = i - y. What is the common denominator of -29/3 and u?
15
Let z = 2011 + -80351/40. Calculate the common denominator of 17/18 and z.
360
Let k = 8821/1640 + -3/820. Calculate the common denominator of (-6)/8 + (-609)/(-108) and k.
72
Let f(x) = 45*x**2 + x. Let j be f(1). Suppose 5*m - 99 = j. Find the common denominator of m and ((-1)/8)/((-1)/(-17)).
8
Suppose 2*m - 28 = -y - 4*y, -m = 3*y - 16. Let t be (1/2)/(1/(-4)). What is the lowest common multiple of 11 and y*((-6)/t)/3?
44
Let x = -34 + 42. Calculate the lowest common multiple of 4 and x.
8
Suppose -4*x - 10 = -3*g, -g = -0*g - 2*x - 4. Calculate the lowest common multiple of 18 and 1/g*120/5.
36
Let j be (6/4)/((-1)/2). Calculate the common denominator of j/(-11)*(-2)/3 and (-2)/(-9) - 474/(-297).
11
Suppose -3*u = 3*q - 42, 4*u = 2*u - 4*q + 36. Suppose t = 6 - 10. Let d(a) = -a**2 - 5*a + 1. What is the least common multiple of u and d(t)?
10
Suppose -i - 3 = 5*l, -2*i - 14 = 4*l - 38. Let t(y) = y**3 - 6*y**2 + 3*y - 6. What is the smallest common multiple of i and t(6)?
132
Suppose 5*g = 13 + 32. Calculate the least common multiple of g and 5.
45
Let v = 3854 + -27022/7. Calculate the common denominator of v and 91/10.
70
Let x(d) = -20*d + 8. Let z be x(-6). What is the lowest common multiple of 1/(z/(-44) + 3) and 6?
66
Let n = 0 - -2. Calculate the lowest common multiple of 28 and n.
28
Let f be 38*(9/(-6) + -1). Let i = -118/35 + 2558/385. Find the common denominator of f/(-8)*2 + 0 and i.
44
Suppose 0 = -5*w + 3*b + 32, -3*w - 5*b + 0 = 8. Let s be (-1 - -1)*w/4. Suppose -o - o + 4 = s. What is the lowest common multiple of 4 and o?
4
Let b be (-48)/(-9) + (-1)/3. Suppose -3*m + b*o = -41, -4*o + 3*o + 115 = 5*m. Let k = -6 - -8. What is the lowest common multiple of k and m?
22
Let f = 79609/90 - 4458/5. Let i = -2/43373 - 3166193/780714. Calculate the common denominator of i and f.
18
Let o be (-3)/5 + (-21898)/2380. Let p = o - -12/119. Find the common denominator of p and -79/4.
20
Let j = -8971 + 89593/10. Calculate the common denominator of j and 13*2/(-12)*-7.
30
Let m = 247189/18 - 13738. Calculate the common denominator of m and -37/10.
90
Suppose -4*y = p + 2*p - 38, 2*y - 4*p = 30. Suppose -o = y + 5. Let b = o + 27. What is the smallest common multiple of 6 and b?
66
Calculate the common denominator of -75/16 and (-24)/(-40) + (-217)/(-30).
48
Suppose 26*k = 24*k + 12. What is the lowest common multiple of k and 16?
48
Find the common denominator of 43/4 and (1 - (-99)/(-2))*(-38)/152.
8
Let i = -41348/22827 - -2/1087. Calculate the common denominator of i and -43/11.
231
Suppose 0*h = -4*r - 4*h + 12, 0 = r - 3*h - 3. Suppose -r*y = -7*y + 36. Calculate the lowest common multiple of y and 26/4 - 1/2.
18
Suppose 0 = -4*z + 4 - 0. Let p(v) = 7*v + 5. Let r be p(4). What is the smallest common multiple of 6 and z*r/(5 + -2)?
66
Let p = 1/1070 - -52961/4280. Find the common denominator of p and (-2)/3 + 91/(-48).
16
Let z(c) = 4*c + 46. What is the least common multiple of 12 and z(-8)?
84
Suppose 2*r = 7*r - 4*j + 1, 0 = r - 3*j - 2. Let l = 3 - r. Suppose l*v + 50 = 9*v. Calculate the lowest common multiple of v and 8.
40
Let a be 399/2*(-4 + 3). Let t = a + 225. Calculate the common denominator of t and -17/3.
6
Let p = -39 + 45. Calculate the lowest common multiple of 10 and p.
30
Let w(b) = b**3 - b**2 - 2*b + 4. Calculate the smallest common multiple of (-2)/1 + -4 + 28 and w(0).
44
Find the common denominator of -11/6 and 1 + 0 - 325/(-10).
6
Suppose 0 = 5*i - 2*i - 12. What is the least common multiple of 22 and i?
44
Calculate the common denominator of (6/((-192)/(-52)))/(3/(-4)) and 95/12.
12
Suppose -2*d + 3*o = -6*d - 26, -7 = 3*d - 4*o. Let k = 3 - d. Calculate the least common multiple of 12 and k.
24
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