t) = 207*t**3 + t**2 + t + 1. Let i be a(3). Let y be i/12 - (-1 - 0). Let d = 1261/3 - y. What is the common denominator of d and -23/2?
2
Calculate the smallest common multiple of 6 and 14/77 + (-42)/(-11).
12
Let x(d) = -d**3 - 2*d**2 + 1. Let z be x(-3). Let y = 20 - z. Let i = 16 - 10. What is the lowest common multiple of y and i?
30
Let r = -6565/366 + -75/61. What is the common denominator of r and -5/9?
18
Let l = -11 + 6. Find the common denominator of -83/18 and 3*(430/36)/l.
18
Let n be (-12)/(-30)*-139*5. Calculate the common denominator of n/130 + (-10)/25 and -111/10.
130
Let v = -18 - -8. Let o = -6 - v. Calculate the lowest common multiple of 2 and o.
4
Calculate the least common multiple of (-3 - 65/(-25))*-10 and 11.
44
Let y(d) = -d**2 + 2. Suppose -16 = -5*u + 19. Calculate the smallest common multiple of u and y(0).
14
Let x(b) = b**2. Suppose 0 = n + 2*n - 6. Suppose -o - o = n. What is the common denominator of x(o) and 41?
1
What is the common denominator of -19/28 and 3/12*37*-2?
28
Let y = 1 + 3. Suppose 2*t = t + y. Suppose 4*h - 20 = -2*q + 3*h, 3*h - 4 = q. Calculate the lowest common multiple of t and q.
8
Let p(y) = 3*y**3 + 4*y**2 - 5*y + 4. Let n(l) = -l**3 + l**2 - l + 1. Let m(k) = -4*n(k) - p(k). Calculate the least common multiple of m(7) and 11.
66
Suppose -q - 4*q = -60. Suppose 3*z + 0*z = 78. What is the lowest common multiple of q and z?
156
Let g = -11 - -19. Calculate the lowest common multiple of 7 and g.
56
Let f = -84241478/749 + 112472. Let j = f - -80641/14980. What is the common denominator of 4/14 - (-2553)/252 and j?
60
Let c = -12 + 18. Let q = c - -1. What is the smallest common multiple of q and 5?
35
Let x = -9 + 11. Suppose 2*h = -x*b + 34, 2*b = 3*h - 0*h - 76. Calculate the lowest common multiple of 8 and h.
88
Let d = 14902 - 297939/20. What is the common denominator of (-4)/(-14) - (-1089)/84 and d?
20
Let b be -3 - (0 + 1 + 2145). Let s = b - -38659/18. Calculate the common denominator of s and 37/4.
36
Let i = 0 - -3. Suppose 0 = -0*z - z + 3*r - 2, -2*r = -i*z + 8. Calculate the smallest common multiple of 11 and z.
44
Let f = 59/311 + 274677/6220. Let r = f - 263/5. What is the common denominator of 71/16 and r?
16
Suppose -4*k - 5*u + 12 = 0, 2*u = -0*u. Suppose 12 = m + 2*d, 3*m - 12 = -3*d + 9. Suppose -m*t - 4 = -26. Calculate the least common multiple of t and k.
33
Let o = 114401/16 - 7147. What is the common denominator of -37/22 and o?
176
Let x = 111 - 83. Calculate the smallest common multiple of x and 40.
280
Suppose 3*c = 0, -c + 24 = -3*v + 96. Calculate the smallest common multiple of v and 18.
72
Let q = -1379 - -15155/11. What is the common denominator of -111/14 and q?
154
Calculate the common denominator of 234/56 - -2 - (-6 - -10) and -85/28.
28
Let p = -15495/7 + 2219. Find the common denominator of 2/(-10) - (-538)/(-60) and p.
42
Let k = -369654257 - -17742580799/48. Let q = 17156 + k. What is the common denominator of q and -63/2?
48
Suppose 4*s + s - 3*t - 130 = 0, 5*t = -2*s + 21. Suppose r - s = -5. Let g(o) = o**2 + o + 6. What is the lowest common multiple of r and g(0)?
18
Suppose -13 = -h - 3. Let n(v) = -v**3 + 2*v**2 + 2*v + 6. Calculate the smallest common multiple of n(3) and h.
30
Let j = 7 - 6. Let o be ((-3)/1)/(j/6). Let z = 32 + o. What is the lowest common multiple of z and 6?
42
Let f = -52796/9723 - -2/1389. What is the common denominator of f and -31/9?
63
Suppose 0 = -0*c - c + 2. Let d be -4*(3/c + -2). Suppose 3*m = -d + 5. What is the smallest common multiple of m and 3?
3
Suppose 1 = 3*q - 2*q. Suppose z = -0*z - 2*h - q, 3*z + h + 3 = 0. Calculate the least common multiple of 9 and (z/4)/(1/(-4)).
9
Suppose -116 = w + 3*w. Find the common denominator of 2 - ((-54)/4 - 0) and 4/(-6)*w/6.
18
What is the lowest common multiple of 9 and (-1 - (-15)/6)*5*4?
90
Calculate the common denominator of (2 - 0)/(20/1775*5) and 21/16.
16
Suppose -4 = 6*d - 4*d. Calculate the least common multiple of 4 and (-21)/14 + (-11)/d.
4
Let i = -4 - -7. Let s = 11 + -9. Suppose 2*a = s*h + 26, -4*a = -0*a + 4*h - 12. What is the lowest common multiple of a and i?
24
Let m = 4601 - 82853/18. Find the common denominator of m and 5/4.
36
Let r = 30 + -20. Suppose 0 = -4*v + 12, n + 6*v - v - 18 = 0. What is the lowest common multiple of n and r?
30
Suppose 0 = 5*c - 4*q - 12, 3*c + 9 = -4*q + 29. Suppose -2*w + 6156 = -c*w. Let k = -33900/11 - w. What is the common denominator of k and 39/10?
110
Let b be -1*(146 - 6/(-2)). Calculate the common denominator of b*(3 + 110/(-36)) and 131/12.
36
Let g be (5/15)/((-2)/(-36)). Suppose 0 = -4*w + 2*w - 5*a + 1879, g = -2*a. Let c = 2908/3 - w. Find the common denominator of -17/4 and c.
12
Suppose 2*n + 6 = 0, -3*i + n - 6*n = -39. Calculate the least common multiple of 16 and i.
144
Find the common denominator of (6/16 - 0)/(33/94) and -29/12.
132
Find the common denominator of 29/8 and 819/(-9)*(-2)/(-44).
88
Let h(m) be the second derivative of -m**3/6 + 2*m**2 - m. Let j(f) = f**3 + 4*f**2 + f - 2. Let x be j(-4). What is the smallest common multiple of h(x) and 5?
10
Let n(m) = -3*m + 24. Calculate the smallest common multiple of 2 and n(6).
6
Calculate the least common multiple of 1 + 5/((-20)/(-84)) and 18.
198
Let j(z) = z**3 - 12*z**2 + 11*z + 14. Suppose 13 = 3*c + 1. Calculate the least common multiple of j(11) and c.
28
Let d(a) = a + 22. Suppose 85 = 2*g - 5*i, -4*g - 5*i + 2*i = -105. Calculate the smallest common multiple of g and d(0).
330
Suppose -4*y - b = -64, 4*y - 55 = -2*b + 13. Suppose -y + 0 = -5*s. Calculate the lowest common multiple of s and 10.
30
Let n = 522 + -4693/9. What is the common denominator of n and (1/10)/(5/95)?
90
Let o = -753 - -10655/14. Calculate the common denominator of (78/8 - 0)*(-24)/(-20) and o.
70
Let f = 9 - 7. Suppose -1 = 4*x + 4*y - 33, -16 = -2*x + 2*y. Calculate the smallest common multiple of x and f.
8
Let x be 5223/(-756) - (-2)/(-7). Let r = x + 31/9. Let q = -1184/135 + -44/27. Calculate the common denominator of r and q.
20
Let r(o) = -o**2 + 6*o + 6. Let l be r(6). What is the common denominator of (-18)/27 - 106/l and -101/4?
12
Suppose 4*h + h + 150 = 0. Let v = h - -52. Suppose -f - 2*y = -0*f - 16, -2 = -2*f + 2*y. What is the lowest common multiple of v and f?
66
Suppose -4*t = -2*t - 12. Suppose -4*x - s = -t - 13, -3*s = 4*x - 9. Calculate the lowest common multiple of ((-10)/6)/((-2)/6) and x.
30
Suppose 75 = 5*g - 5*q, 9*g + 65 = 13*g - 3*q. Calculate the lowest common multiple of g and 2.
20
Let u be (-3)/(-1*(-3)/(-4)). What is the lowest common multiple of (2 - -2) + (u - 6) and 8?
8
Let m = 9461184621 - 208108959633/22. Let j = m + -1682529. Let t = j - 3928. Find the common denominator of 65/8 and t.
88
Let b(w) be the first derivative of -2 - w + 3/2*w**2 + 5/3*w**3 - 1/4*w**4. What is the lowest common multiple of b(5) and 6?
42
Suppose 0 = 4*n - 0*n + 96. Find the common denominator of (-940)/n*2/(-20) and (-174)/40 + (-8)/16.
60
Suppose -4*l + 19 = 3*k, -l = -2*k + 4*k - 21. Let y = k + -1. What is the least common multiple of 10 and (2/4)/(1/y)?
30
Calculate the common denominator of 63/10 and (-789)/(-45) + 3/(-15).
30
Find the common denominator of 44/9 and (-16)/660*62 + (-2)/15.
99
Suppose -3*n - 16 = -2*s - 2*n, -s - 5*n = -30. Let c = s + 0. Calculate the lowest common multiple of 4 and c.
20
Let n = 1/100 - -381/25. Let l = 127 + -883/7. Find the common denominator of l and n.
28
Let p(m) = -52593*m**3 + 4*m**2 - 10*m + 5. Let h be p(8). Let k = h + 538886923/20. Let v = k - 16915. What is the common denominator of v and -1/20?
20
Suppose -4*o + 10 = -2. Calculate the common denominator of -23 and o/(-10)*(-110)/(-8).
8
Let q(h) = 19*h + 1. Let r be q(1). Suppose r = v + v. Calculate the least common multiple of v and (12/(-18))/(((-8)/54)/2).
90
Suppose 0 = -4*t + 2*n + 46, 0*t - 5*n - 45 = -5*t. Let u = 7 + 7. Calculate the least common multiple of u and t.
14
Suppose -3*u = u - 760. Calculate the common denominator of 149/6 and 14/20*u/48.
48
Let t = -7201/48 + 448/3. Find the common denominator of t and 11/4.
16
Suppose 4*d - 1154 = -5*n + 8*d, 0 = 3*n + 3*d - 687. What is the least common multiple of n and 6?
690
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