10
Let r be (-2)/(-16080)*(-670376)/(-18). Let o = r + 2/1809. Find the common denominator of -109/12 and o.
60
Suppose 5*p + 11 = 31. Calculate the smallest common multiple of 7 and p.
28
Let s be (20/(-12))/(1/(-3)). Suppose -q - 36 = 4*v - s*q, -q + 29 = -3*v. Let w = v - -17. What is the least common multiple of 8 and w?
56
Let u = 14 + -16. What is the common denominator of (62/(-4))/((-3)/u) and -1/8?
24
Let o = 1 - -4. What is the smallest common multiple of 10 and (1*-2)/((-1)/o)?
10
Let d(w) = 5*w + 3. Let m be d(-8). Let q = m + 7. Find the common denominator of -1 and q.
1
Let m = 405 - 2038/5. Let d = -735/2 + 1401/4. Calculate the common denominator of d and m.
20
Let f(d) = d**2 + 2*d + 1. Let n be f(-3). Suppose r - n + 2 = 0. Suppose 0 = -0*z - r*z + 12. What is the least common multiple of z and 8?
24
Let a = 145/2 - 74. Let d = -153/7 - -977/70. What is the common denominator of d and a?
10
Calculate the common denominator of -41/10 and (-4)/(-10) - (4/22 + 1).
110
Let n = 112 - 237/2. Suppose 1 = -5*h - 9. Calculate the common denominator of ((2/h)/2)/(-4) and n.
8
Let h = 837/4 - 1031/4. Calculate the common denominator of 79/8 and h.
8
Let f = -2399/28 + 349/4. Calculate the common denominator of f and -43.
7
Let v = 107/14 + -106/7. What is the common denominator of v and 81/22?
22
What is the common denominator of -43/4 and 1666/(-156) - (-16)/(-104)?
12
Let o = 20/1031 - 605277/4124. Let h = o + 2837/20. Find the common denominator of -3/7 and h.
70
Let s = -148955295708757/6724597646742 + -6/1269270979. Let m = -14/883 + s. What is the common denominator of m and 8/36 + (-506)/(-72)?
12
Let i = 3 + 1. Suppose 2*w - i = -0*w. Suppose -3*s + w*s + 2 = 0. Calculate the lowest common multiple of 8 and s.
8
Suppose 9 = o + z, 2*o - 3*z = -o + 9. Let i(y) = y**3 - 5*y**2 - 4*y - 6. Let n = -14 + 20. What is the least common multiple of o and i(n)?
6
Suppose 39 = -5*o - 31. Suppose -2 = -k - 25. Let j = o - k. Calculate the smallest common multiple of j and 11.
99
Suppose -5*u + 2*j = -0*j - 25, 4*u - 2 = -2*j. Suppose -3*t = 4*n - 1, 4 = 2*t + u*n - n. Calculate the least common multiple of 7 and t.
7
Let f(b) = -5*b**3 - 3*b**2 - 3*b - 2. Let c be f(-2). Let h = c - 22. Calculate the least common multiple of h and 11.
110
Let h = -164 + 497/3. Find the common denominator of h and 43/2.
6
Let d = -8733677917931383/42438 - -205798527663. Let c = d - 2/7073. Calculate the common denominator of c and 91/2.
6
Suppose 31 = 3*w + w - x, 2*x = -2*w + 18. Suppose -3*d = -17 - 13. Calculate the lowest common multiple of w and d.
40
Calculate the common denominator of 13/8 and ((-39)/9)/(14/9).
56
Let b = 12 - 7. Suppose -b*a + 1376 = 10116. Let k = a + 17367/10. Find the common denominator of -31/4 and k.
20
Suppose -5*d - 2*l - 60 = -8*d, -4*l = -3*d + 60. What is the smallest common multiple of d and (4/3)/(3/9)?
20
Let t = 48 - 44. Suppose -3*n + 10 = 2*u, -5*n + 4*u + 9 + 15 = 0. What is the least common multiple of t and n?
4
Let s(g) = g**3 - 3*g**2 - g + 2. Let p be s(3). Let c = 10 + p. Let k = c + -1. Calculate the smallest common multiple of k and 14.
56
Let b = 13 + -11. Let l(m) = m + 7. Let o be l(-4). Calculate the lowest common multiple of o/((-6)/(-8))*1 and b.
4
Let g be 10/4 + (-2)/4. What is the lowest common multiple of 18/g*(8 + -7) and 1?
9
Suppose -3*a - a + 40 = 0. Let o = 2175/2 - 1046. Find the common denominator of o and (-6)/a - 542/180.
18
Let d = 28/9 - 29/18. Calculate the common denominator of d and 93/4.
4
Let n = -26091 + 45946252/1761. Let u = n + -40553/88050. Find the common denominator of u and -77/4.
100
Let q = 5 + 3. Calculate the smallest common multiple of 28 and q.
56
Suppose -2*u - 40 = -3*g, -3*u + 2*u = 5. Suppose -5*v + 5*p = -g, v + 0*v = -p + 8. Suppose v*c - 8 = 3*c. Calculate the smallest common multiple of c and 14.
28
Find the common denominator of 19 - (-2 + 6 + -5) and (-149)/(-20) + 1/4.
10
Find the common denominator of 1/(-5)*(-545)/10 and 55/7.
70
Let p(x) = x**2 + 9*x - 7. Let v be p(-9). Find the common denominator of 27/7 and ((-2)/v)/(36/3171).
42
Let w(j) = j - 39*j**2 + 3 - 51*j**2 - 2 + 10*j**2. Let n be w(-1). Calculate the lowest common multiple of 6/(-5)*n/8 and 4.
12
What is the smallest common multiple of 56/(-6)*6/(-4) and -2*-2*(-5)/(-1)?
140
Let n be 8/52 + (-297)/(-13). Suppose -n = -5*a + 17. Suppose 3*z + 5*f - 15 = 0, z - 3*f = -3*z + 49. What is the least common multiple of z and a?
40
Let k = -59 - -278. Calculate the common denominator of k/(-8)*(-4)/9 and 111/10.
30
Let l(v) = 2*v + 1. Let s(f) = f + 1. Let c(t) = 2*l(t) - 3*s(t). What is the lowest common multiple of 2 and c(6)?
10
Let p(f) = 11*f. Let x be p(-4). Calculate the common denominator of (3 - (-112)/x)*-5 and 47/5.
55
Let q(r) = -r**2 - 8*r - 1. Let i be q(-7). Let z(v) = -v**2 + 7*v. What is the least common multiple of 35/2 + 3/i and z(6)?
18
Suppose -4*t = -0*t - 20, 2*k + 5*t = 53. Suppose -3*u + 10 = -2*f + 2*u, 5*f + 4*u = 41. What is the smallest common multiple of f and k?
70
Let w = 1 - -5. Let d = w - 8. Find the common denominator of 35/8 and (d/(-40))/((-12)/(-930)).
8
What is the common denominator of 6/(-12) + 47/(-5) and 71/6?
30
Let y = -319/210 + 2/105. Let o = 203/22 + -21/44. Calculate the common denominator of y and o.
4
Let j = -2 - -4. Suppose 0*m = -m - 2*i + 12, 5*i - 21 = j*m. Let t(k) = 3*k**3 - 2*k**2 - k. Calculate the least common multiple of 8 and t(m).
56
Let y = 34 + -28. Calculate the lowest common multiple of y and 7.
42
Suppose 0*d + 5*d - 51 = 4*y, -5*y - 73 = 3*d. Let l be 7/(y/1672) - -2. Let c = -8369/10 - l. Find the common denominator of 57/7 and c.
70
Let n = -17/201 + 5999/2010. Let a be 1 + -1*(-1509)/(-6). Let j = a - -259. Find the common denominator of j and n.
10
Let s(u) = u**3 - u**2 + u + 8. Let i be s(0). What is the common denominator of 38/15 and 98/i + (-5 - -3)?
60
Let o = -19 + 39. Calculate the lowest common multiple of 4 and o.
20
Let h = 544059/28 + -19433. What is the common denominator of 133/36 and h?
252
Suppose -2*i - 2 = -6*v + 3*v, 8 = i + 3*v. Let f be i/2 - (-13357)/(-1122). Let h = 424/51 + f. What is the common denominator of h and -87/10?
110
Suppose -4*k = -0*k - 3*n + 28, 12 = -5*k - 2*n. Find the common denominator of -55/6 and 20 + k/(-8) + -1.
6
Let t(v) = -v + 2. Let u be t(0). Suppose u*p = -p - 615. Find the common denominator of ((-2)/(-8))/(5/p) and -41/18.
36
Let t = 3 + 1. Suppose -x + 3 = -t. Suppose q - 8 = 2*p - q, 4*p - 3*q = -11. What is the lowest common multiple of p and x?
7
Let i be 198 - (-3 + -6)/(-3). Calculate the common denominator of -81/8 and (26/i)/((-8)/207).
40
What is the common denominator of -41/3 and (-17)/(-3)*3/8?
24
Let w = 2137/3 + -700. Calculate the common denominator of w and -74/21.
21
Let c = 11 + -6. Let u = 6 + -9. Let i = u + c. Calculate the smallest common multiple of 16 and i.
16
Let l be 120/1 - (2 - 1). Calculate the common denominator of (l/(-6) - -2)/3 and (-282)/8 - 2/8.
18
Let x be ((-348658)/3)/((-2)/(-51)). Let j be (-1)/(-5) - x/979110. Let b = -4/8901 - j. What is the common denominator of -19/4 and b?
44
Let y = -146 - -179. What is the smallest common multiple of y and 18?
198
Calculate the common denominator of 1/3*71/3 and 49/6.
18
Suppose 34 = 4*c + 14. Suppose -4*j + 2*y = -16, c*y + 4 = j - 3*j. Calculate the common denominator of 43/6 and (-2)/j - 265/12.
12
Let u = 26885/32 + -838. Find the common denominator of u and 5/4.
32
Let d(g) = g**3 + 8*g**2 - 8*g + 12. Calculate the smallest common multiple of d(-9) and 4.
12
Let c be (-30)/(3 + 8/(-10)). Let t = c + -481/22. Calculate the common denominator of t and (-34)/(-126) + (-4)/(-14).
18
Suppose -2*p = -3*p + 3. Suppose -2*t + p*t - 4*u = 16, -u = -2*t + 11. Let l = -5 + 9. What is the lowest common multiple of l and t?
4
Let r be (7/(-4))/(6/(-8848)). Let w = r + -2604. Find the common denominator of w and (-4)/(-6) + (-224)/36.
9
Let s(m) = -m**3 + 8*m**2 + 3*m - 2. Let c = -16 + 24. Suppose -k = 2*q - 12, -5*k + 7*q - 5 = 4*q. Calculate the least common multiple of k and s(c).
22
Let z = -7 - -12. Let p = 3 - 6. Let b = z - p. Calculate the lowest common multiple of b and 8.
8
Let p(l) = -l*