0
Calculate the common denominator of 1/18 and -4 - 2/(404/(-813)).
1818
Let j = 5 + 3. Calculate the least common multiple of 4 and j.
8
Let b(k) = 2*k - 1. Let u be b(-3). Let h(f) = -5*f - 3*f + 2 - f**2 + 1. Calculate the least common multiple of h(u) and 10.
10
Suppose -4*v = -5*v + 3*k + 2, -3*v + 6 = 4*k. Calculate the lowest common multiple of ((-8)/5)/(v/(-15)) and 2.
12
Let o = 584/3 + -190. Let h(u) = -2*u**2 - 2. Let c be h(3). Calculate the common denominator of o and c/((-1)/(2/2)).
3
Let d = -2 + 4. Suppose 16 = 3*s - d. Calculate the least common multiple of s and ((-9)/((-1)/(-1)))/(-1).
18
Let d(q) = -q**2 + 10*q - 1. Let g be d(7). Let o = -22112/9 + 2461. Calculate the common denominator of 73/(-2)*g/30 and o.
9
Suppose -2*u = 4*x - 2, 4 = 5*x - 0*x + 2*u. Calculate the common denominator of x*-5*15/(-4) and -3 - 1/((-20)/(-14)).
10
Let t = -15 + 36. Calculate the smallest common multiple of 1 and t.
21
Suppose 5*y - 2*y = 117. Let m(k) = 2*k - 7. Let f be m(8). What is the common denominator of y and ((-1)/f)/(5/(-255))?
3
Suppose 5*v = -2 - 38. Let q = v + 15. What is the lowest common multiple of q and 11?
77
Let n(f) = -f**3 + 5*f**2 + 4. Let m(q) = -q**3 + q - 1. Let t be m(-2). Calculate the lowest common multiple of n(t) and 10.
20
Calculate the common denominator of 79/10 and 4 + (0 - 0) + 45.
10
Suppose 4*c = 3*n - 19, 2*n + 2*n - 28 = 4*c. What is the smallest common multiple of n and 8?
72
Let w(n) = -n**3 - 5*n**2 - 5*n. Let p(c) = -c + 2. Calculate the smallest common multiple of p(0) and w(-4).
4
Let d = -263/258 + 8/43. Find the common denominator of d and 4/(-14) - (-39)/6.
42
Suppose i = 5*i - 40. What is the lowest common multiple of i and 8?
40
Suppose -12*u + 39 + 297 = 0. Let m(i) = -i**3 - 4*i**2 - 3*i - 4. Calculate the lowest common multiple of u and m(-4).
56
What is the smallest common multiple of (0 - -14 - 2) + -3 and 5?
45
Let m = -9639 - -173365/18. What is the common denominator of m and 29/20?
180
Let j(n) = n**2 + 7*n - 5. Let x be j(-7). What is the lowest common multiple of 8 and 206/10 + 3/x?
40
Let s(r) = 6*r**3 + 4*r**2 + 5*r + 3. Let k be s(8). Let h = k - 26871/8. Calculate the common denominator of h and 99/2.
8
Let a(n) = n**3 - 6*n**2 + 2*n - 4. Suppose o - 3*o + 12 = 0. Let g(s) = 2*s**2 - s - 3. Calculate the least common multiple of g(3) and a(o).
24
Calculate the smallest common multiple of 12 and (0 + (-10)/6)*-6.
60
Let d = -1706/405 + 1/81. Suppose 3*p + 3*a = -a - 13, 3*a = 4*p + 9. Calculate the common denominator of d and (-136)/(-108)*p/(-2).
45
Let d(g) = 9*g**2 + g. Let r(o) = -2*o + 11. Let c be r(5). What is the lowest common multiple of 9 and d(c)?
90
What is the common denominator of ((-70)/3 + -1)*1 and -79/18?
18
Suppose -4*y = -15 - 29. What is the least common multiple of (-2 + 4)/2*3 and y?
33
Let w = 9 + -4. Let a(x) = -x**3 + 6*x**2 + 2*x - 9. Calculate the lowest common multiple of w and a(6).
15
Find the common denominator of 177/5*(-1)/(-3) and 52/130 + 3/10.
10
Let a = 1 + -8. Calculate the lowest common multiple of (-3 - a) + -2 + 1 and 10.
30
Let c(o) be the first derivative of o**2/2 - 7*o + 5. What is the least common multiple of 5 and c(8)?
5
Suppose -6*p = -2*p + 48. Let i = -10410 + 187243/18. Find the common denominator of (10/p)/((-14)/(-66)) and i.
126
What is the smallest common multiple of (-53)/(-5) + (-33)/55 and 64?
320
Let c(t) = 353*t - 6. Let z be c(-6). Let m = 143426/13 + -1042885/117. Let w = z + m. Calculate the common denominator of w and 27/4.
36
Calculate the common denominator of (-2)/((-64)/158) - 1 and ((-2)/(-10))/(12/(-15) - -2).
48
Calculate the common denominator of (-146)/(-4)*(-2)/(-9) and -40.
9
Let s(l) = l**3 - 6*l**2 - 6*l + 7. Let f be s(7). Find the common denominator of -2*(23/f)/(-1) and 57/5.
35
Suppose 3*m = 5*x - 35, 0 = -0*x + 3*x - m - 25. Let g = -141 - -142. What is the least common multiple of g and x?
10
Let q(r) = r. Let f be q(-6). Calculate the common denominator of (-10)/(-18) + 2/f and -57/4.
36
Let h be (-1)/(-2) - 24080/3. Let y = h - -8044. Find the common denominator of 31/2 and y.
6
Let b be 2/(8592/84830) + -1. Let x = b - -2/537. Calculate the common denominator of -115/18 and x.
36
Let t = 174 - 2083/12. Find the common denominator of t and -61/20.
60
Let r(j) = 2*j - 7. Let b be r(-4). Let i(y) = y**2 + 15*y + 7. What is the lowest common multiple of 8 and i(b)?
56
Let g = 869/14 - 63. Calculate the common denominator of (-1 - 597/6)/(-3) and g.
14
Let f = -2 - -2. What is the common denominator of 19/20 and 213/6 + f + 0?
20
Find the common denominator of -2 + (-68)/120 + (-1)/(-1) and -119/18.
90
Let d be (-12)/(-54) - 691/(-9). Suppose d - 21 = 4*q. Suppose 0*u - u - 10 = -i, 3*i - 2*u - 26 = 0. What is the lowest common multiple of q and i?
42
Suppose 5*k - 17 = 38. Find the common denominator of 65/8 and (-4)/(-8*k) - -2.
88
Suppose 3*r = 4*r - 16. Let j = -50 - -70. What is the smallest common multiple of j and r?
80
Let d(p) = -12*p - 2. Let u(j) = -j + 1. What is the lowest common multiple of u(-4) and d(-1)?
10
Let z = -17585/1958 + 504/89. Calculate the common denominator of -75/8 and z.
88
Let w be (-2 + (-8)/(-5))*15. Let z be 375/w - (-1)/(-2). What is the common denominator of ((-1)/2)/(z/(-749)) and 83/16?
144
Let v(o) = 2*o**2 - 5*o - 1. Calculate the smallest common multiple of ((-12)/9)/(1/(-3)) and v(3).
4
Let y = -6787/2 + 13295/4. Let n = -65 - y. Calculate the common denominator of n and 38/9.
36
Calculate the smallest common multiple of 30 and (-573)/(-21) - (-4)/(-14).
270
Let d = 8 + -13. Let j = 3 - d. Suppose -22*o + 104 = 4*o. What is the least common multiple of o and j?
8
Calculate the common denominator of (-10)/35 - (-198)/56 and 1/2.
4
Let c be 3*2/6*3. Suppose 3*y + 4*x = 9 + 54, -2*y + 25 = -c*x. Find the common denominator of (-30)/(-12)*y/3 and 55/4.
12
Suppose 0 = 5*h - 4*w - 10, 3 = -h + 2*w - 1. Suppose -10 = -5*g, 0 = -4*j - g + 4 + h. Find the common denominator of j/(-8)*(-402)/(-9) and -35/4.
12
Let z = 62 - 42. Calculate the least common multiple of 12 and z.
60
Let u = 25 - 40. Let r = u + 22. Suppose r + 5 = g. Calculate the lowest common multiple of 8 and g.
24
Let h(q) = -15*q**3 - 2*q**2 - q. Calculate the least common multiple of 6 and h(-1).
42
Let p(b) = 5*b + 14. Let q(l) = -9*l - 27. Let h(w) = 7*p(w) + 4*q(w). Let c be h(0). Let x = c - -18. What is the least common multiple of x and 20?
40
What is the common denominator of (-166)/(-8)*(14 - 13) and 1/5?
20
Suppose 3*f + 4*s = 4788, 2*s = -f + 7*s + 1577. Let t = f + -22353/14. Find the common denominator of ((-33)/12 + 3)/((-3)/111) and t.
28
Let h be 3/3*(3 + -1). What is the least common multiple of 6 and (-10)/(-6)*(h + 1)?
30
Let h = -9 + 7. Let u(q) = -17*q - 3. Let p be u(h). Let a = -15 + p. Calculate the lowest common multiple of a and 12.
48
Suppose 0 = -c - 0*c + 2. What is the common denominator of c - 1/(20/(-82)) and -149/6?
30
Let f = 21 - 8. Suppose 3*i + 8*k - 3*k = 19, -3*i - 2*k = -f. Calculate the lowest common multiple of 1 and i.
3
Let t = 40/43 - -233/258. Let o be 146/15 + 2/6. Let j = o + 49/15. Calculate the common denominator of t and j.
6
Calculate the common denominator of -8*((-1)/(-3) - -1) and 31/4.
12
What is the common denominator of -63/4 and (3/15)/((-2)/(-82)) - 1?
20
Let p = 20238804/541 + -37410. Let q = p + 9251/4869. Find the common denominator of 83/2 and q.
18
Suppose -195 = -4*z + 3*d - 718, 414 = -3*z - 5*d. Let w = 670 + z. Let v = 1005/2 - w. What is the common denominator of v and 55/8?
8
Suppose 0 = 7*x + x - 64. What is the least common multiple of 1 and x?
8
Let l be 0 + 2 - (-5745)/(-35). Let b = -163 - l. Calculate the common denominator of 16 and b.
7
Let u be (8/(-12))/((-2)/(-303)). Calculate the common denominator of u/2 + 0 + 3 and (8/15)/((-2)/12).
10
Suppose -3*r = -2*u + 209, -2*u = 4*r + 11 - 199. Find the common denominator of (103/(-1))/(u/(-10)) and -2*(0 - 214/40).
10
Suppose 6*k - 3*k + 102 = 0. Let x = k - -60. Calculate the smallest common multiple of x and 10.
130
Let b be 4/6 + 605770/84252. Let y = -1/2006 - b. What is the common denominator of -16/7 and y?
7
Let k be (0 + (-32)/(-204))*2. Let l = 385/17 - k. 