et d be (1 - 4)*1 + 8. Suppose -d*v - 10 + 30 = 0. What is the least common multiple of v and 2?
4
Calculate the smallest common multiple of 2 and ((-15)/(-12))/((-3)/(-12)).
10
Suppose -4*v - 5*o + 7 = -7, v + 9 = 5*o. Calculate the smallest common multiple of v and 4.
4
Suppose -3*f = 6, f = c - 3*c. Let i be 5 - (-1 + c)*1. Suppose 3 = i*x - 2. What is the least common multiple of x and 9?
9
Calculate the common denominator of 47/21 and (2 - 5) + ((-327)/(-54) - 2).
126
Let z(j) = -j**3 - 6*j**2 - 2*j + 4. Calculate the least common multiple of 8 and z(-6).
16
Suppose 0 = -4*h + 2*h + 4. Suppose -5*f - 8 = -b, -h*f + b - 3*b = 8. What is the common denominator of -64/9 and f/(-11) - (-346)/33?
9
Suppose -7 = 4*f + 5, -x = -3*f - 11. Suppose n - 70 = -x*m + 3*m, -3*m = -2*n + 214. Find the common denominator of m/6*(-6)/(-18) and 28/11.
99
Let z = 13 + -9. Calculate the common denominator of 43/2 and ((-6)/z)/(18/274).
6
Suppose 3*v + 1453 = -7*c + 2*c, -v + 1159 = -4*c. What is the common denominator of c/(-165)*3/(-2) and (-224)/(-60) - (-6)/9?
55
Let p(s) = 0*s**3 - 3*s + 2*s - 10*s**2 + 10*s + s**3. Let n be p(9). What is the common denominator of 9/2 and 101/8 + n - 2?
8
Let x(w) = 2*w + 16. Let o(u) be the second derivative of u**5/20 - 5*u**4/12 - u**3/3 - 2*u**2 + u. Calculate the least common multiple of o(6) and x(-5).
60
Let y = -1 + 7. Let s(q) = -q**3 - 21*q**2 - 19*q + 24. Calculate the lowest common multiple of y and s(-20).
12
Calculate the common denominator of -47/8 and (-4)/((-192)/21) + 1.
16
Find the common denominator of -11/8 and (2 + (-245)/(-440))/((-6)/4).
88
Suppose -2*m = 5*u - 36, -3*m - 2*u + 54 = -0*u. Suppose 2*g = 10, 5*l + 5*g + 0 - 40 = 0. Let n = 5 - l. What is the lowest common multiple of n and m?
18
Let y = 36 - 59. Find the common denominator of -19/2 and y.
2
Suppose 0 = -d - 2*q + 15, 5*d = -3*q + 42 + 5. Let t(v) = 4*v - 6. Calculate the least common multiple of 18 and t(d).
198
Let d = -28 + 32. Suppose d*s - 3 = 1. Let p = -8 - -15. Calculate the least common multiple of p and s.
7
Let t be ((-55654)/(-36))/((-1)/2). Let k = t - -3087. What is the common denominator of (-186)/9 + (-6)/(-3) and k?
9
Let z(q) = -14*q + 2. Let w be z(-8). Suppose -3*u = -3*d + w, -1 + 3 = -2*u. Let y = -25 + d. What is the smallest common multiple of 6 and y?
12
Let g(h) = h + 6. Suppose 2*y - 8 = -2*u, 3*y + 5*u - 20 = -y. Let l be g(y). Calculate the lowest common multiple of 0/(l/(-3)) - -8 and 6.
24
Let k be 14/(-3 - -1)*-4. Calculate the common denominator of 99/4 and ((-22)/(-12))/((-7)/k).
12
Let h = 123479/14 - 8828. What is the common denominator of 59/24 and h?
168
Suppose 0 = -3*f - 0*f + 72. Let u = 52 + -64. Let l = f + u. What is the smallest common multiple of 10 and l?
60
Suppose 2*b + 10 = 7*b. What is the lowest common multiple of (-6)/(-8) + 4/16 and (-18)/(-4)*b/3?
3
Suppose 0 = 7*k - 16*k + 54. What is the lowest common multiple of k and 7?
42
Let x be (0 + 0)/(0 - -2). Suppose 0*d - d + h = -10, x = -2*h + 2. What is the common denominator of 1/(-1) - d/12 and -33/20?
60
Suppose n + 0*n - 2*g = -1, 0 = 3*n + g - 11. Let w = 6 - n. Suppose w*s = -s + 28. Calculate the least common multiple of s and 3.
21
Let p be ((-525)/(-30))/((-2)/30). Let d = p - -285. Calculate the common denominator of d and 61/2.
2
Suppose 4*u + 9999 + 1745 = 0. Let y be (9/6)/((-2620)/u). Let v = -5/262 - y. What is the common denominator of 143/6 and v?
30
Let f(j) = -6*j + 50. Suppose 15 - 5 = k. Calculate the least common multiple of k and f(8).
10
Let l = -22 - -12. Let d = l - -11. Calculate the least common multiple of 3 and d.
3
Suppose -2*w = 4*w + 156. What is the smallest common multiple of w/(-3) + (-6)/9 and 7?
56
Suppose 0*n - 2*n = -82. Suppose n - 1 = 4*y. Let r(d) = d**3 - d**2 + 9. Calculate the lowest common multiple of y and r(0).
90
Let i = -22 + 42. Calculate the smallest common multiple of (-7 - -5)/((-2)/6) and i.
60
Let v(i) = -i**2 + i + 2. Let k be v(0). Let s(c) = c**k - c + 3*c - 3*c. Calculate the smallest common multiple of 12 and s(-1).
12
Suppose -3*u = 3*z - 240, 5*z + 2*u - 412 = u. What is the common denominator of 23/11 and 27/9 + z/(-11)?
11
Let u(s) = s**2 + 21*s - 32. Let h(p) = 5*p**2 - 4*p + 2. Calculate the least common multiple of h(2) and u(-23).
14
What is the common denominator of (-295)/(-60) - 2*1 and 29/38?
228
Let h = -3479/6 + 571. What is the common denominator of 2/(-32)*-6 - 0 and h?
24
Suppose 0*p + 4*p = 0. Suppose -x + 7*z - 1 = 6*z, p = -2*x - 5*z + 5. Let r = 9 - x. Calculate the least common multiple of r and 10.
90
Suppose 2*n = -3*l - 6, 3*n = -0*n + 2*l - 9. Let c(h) = -h - 1. Suppose 4 + 0 = 2*q. Calculate the lowest common multiple of c(n) and q.
2
Suppose 123 = -5*z - 62. Let o = z - -23. Calculate the common denominator of (o*9/6)/5 and -65/6.
30
Let k be -1*(0 - -2 - 2). Suppose k*r + 4*r - 8 = 0. What is the common denominator of r/(-5)*(-970)/24 and 33/10?
30
What is the least common multiple of (-2)/(-12) - (-1)/(-6)*-11 and 3?
6
Let f = 233392517476/24271605 - 2/4854321. Let c = -9612 + f. Calculate the common denominator of c and 18.
15
Let t(v) = v**3 + 6*v**2 - 9*v + 6. Let z = -27 - -47. What is the least common multiple of t(-7) and z?
20
What is the common denominator of 61/9 and (-1244)/(-112) + 3 - 1/(-7)?
36
Suppose 0 = -0*w + 3*w. Suppose w = -4*m + 28 + 32. Let h = 25 - m. Calculate the smallest common multiple of h and 8.
40
Let o be -1*2*9/(-6). Suppose -31 = -n - n + o*c, 5*c = -5. Let w = n - 6. Calculate the smallest common multiple of w and 10.
40
Let y be (0 + 0 + -1)*-5. Let f = 4 - y. What is the common denominator of 83/20 and -1*f/(-2) + 25?
20
Let u = 44 - 66. Calculate the common denominator of (-60)/u + 4/(-2) and ((-2)/18)/(2/(-124)).
99
Let k = -36 + 37. Calculate the least common multiple of 7 and k.
7
Suppose 5*v - 9*v = -256. Calculate the least common multiple of v and 16.
64
Let f = -2250 - -24791/11. Calculate the common denominator of f and 18/7.
77
Let u = -6 - -8. Suppose 0 = -u*w - 2*w + 16. What is the least common multiple of 10 and w?
20
Let j be (-142)/(-399) + 7/(-21). Let p = -5045/399 - j. Find the common denominator of 54/5 and p.
15
Suppose -20 = 6*i - 2*i + 4*s, 0 = 2*i + 5*s + 22. Let z = i + 1. Let u(q) = q**2 + 22. Calculate the lowest common multiple of u(z) and 8.
88
Find the common denominator of 1 - ((-64)/14 + 2) and (44/(-110))/((-4)/345).
14
Let v = 12 - 9. Let l = -23 - -46. Calculate the least common multiple of v and l.
69
Let x be 4/(-22) + (-1940)/(-22). Calculate the common denominator of -1/2 and ((-6)/x)/((-18)/(-636)).
22
Suppose -2*j = -4, w - 73 = -2*j - 0*j. Suppose -3*m = -w + 33. Let c(b) = b**3 + b**2 - b + 18. Calculate the lowest common multiple of c(0) and m.
36
Let f(j) = j + 14. Let u be f(-12). Suppose -y + 29 = y - 5*d, u*d = 5*y - 20. Calculate the smallest common multiple of 4 and y.
4
Let g(d) = -10*d**3 + 3*d**2 - d - 1. Let n be g(2). Find the common denominator of 15/(-10)*n/6 and 6/8*(-182)/12.
8
Let k(h) = 7*h**2 + 2. What is the smallest common multiple of k(2) and 2?
30
Let g = -8815 + 3978. Let f be (2/4)/((-22)/212634). Let u = f - g. Calculate the common denominator of -21/10 and u.
110
What is the common denominator of -101/16 and (-2)/3 - (-848)/(-288)?
144
Suppose -3*w = 3*f + 2*w - 52, f + 2*w - 19 = 0. What is the lowest common multiple of f and 9?
9
Calculate the common denominator of 1 - -3*35/(-8) and -67/6.
24
Suppose 5*y = -3*h + 14, 0 = -5*h - 0*y - y - 6. Let n be 21118/(-210)*h/(-14). Let b = -8/245 - n. Calculate the common denominator of 36/5 and b.
15
Let c = 10017 + -59965/6. Calculate the common denominator of -15/14 and c.
42
Let r = 155 - 100. What is the lowest common multiple of r and 35?
385
What is the common denominator of 1/6 and 33/(-30)*(-34)/(-6)?
30
Let z = 487 + -195. Let v = 487 - z. Suppose -h = -2*f - 91 + 37, -4*h + f = -v. Find the common denominator of 76/9 and h.
9
Calculate the smallest common multiple of 10 and (0 - 3) + (-84)/(-7).
90
Let z(h) = -h**2 - 5*h - 1. Let r be z(-6). Let b = r - -11. What is the smallest common multiple of b and 14?
28
What is the common denominator of -23/2 and (-2)/(-24)*(-66)/4?
8
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