 y = 93012317541 - 468317021150706/5035. Let m = y + 25/2014. Let o = m + 464. What is the common denominator of o and -71/8?
40
Suppose -5*n - 11 = 3*m, -9 - 1 = -2*m + n. Suppose -v = 3*x - 2*x - 2, -5*v = -m*x - 2. What is the least common multiple of 2 and v?
2
Let q(i) = i**2 - i - 5. Let d be q(5). Suppose 3*b + d = 6*b. Let v(u) = -u**2 - 6*u - 2. Calculate the lowest common multiple of v(-5) and b.
15
Suppose 4*m + 929 = -5*c, -2*c = 4*m + 1115 - 201. Let j = -140 - m. What is the common denominator of (-25)/(-20)*j/25 and 13/18?
90
Suppose 18 + 37 = 5*r. Let f(a) = a**2 - 10*a + 5. What is the least common multiple of f(r) and 14?
112
Suppose 28 = -3*g - g. Let p be 12*(-4)/(-8)*-2. Let u = g - p. What is the smallest common multiple of u and 2?
10
Suppose -4 = -b - 3*b, 2*a - 14 = 2*b. What is the lowest common multiple of a and 7?
56
Let n = -2/78329 + -13237489/4386424. Let a = 22/7 + n. Find the common denominator of a and (-34)/(-168) - (-10)/(-35).
24
Let u(m) = 6*m**2 - m + 1. Let v be u(1). Suppose -3*j + j = -v. Calculate the smallest common multiple of j and 7.
21
Let d(h) = h - 1 + h**2 + 0*h**2 + 9 - h**3 - 2*h**2. Let w = 0 - -9. Calculate the lowest common multiple of w and d(0).
72
Suppose -4*s + 32 = 4*x, 30 - 6 = 3*s + x. Calculate the lowest common multiple of 2 and s.
8
Calculate the smallest common multiple of 2 and ((-10)/(-3))/((-6)/(-9)).
10
Let c(q) = q**2 + 2*q - 3. Let n be c(-6). Let r = -9 + n. Calculate the lowest common multiple of (-1 + -1)*(-1)/1 and r.
12
Let j be (-145)/(-298) + (-6)/12. Let c = j - 5795/1192. Find the common denominator of c and 53/8.
8
Calculate the common denominator of -29/4 and (2/(-3))/((-160)/510).
8
What is the common denominator of 0 + ((-3)/4)/1 and 24/20*18/(-4)?
20
Let y be (-21712)/7 + (-6)/(-6). Let t = y + 3108. Find the common denominator of t and -46.
7
Let r = -509 - -905. Calculate the common denominator of 105/r - (-4)/(-22) and -65/12.
12
Let h be 1/3 + (-5771)/(-3). Let v = 7645/4 - h. Find the common denominator of v and 2 - -22*(-90)/80.
4
Let t = 196 - 186. Calculate the smallest common multiple of t and 190.
190
Let c(h) = h + 8. Suppose -r + 1 = -3*s + 4*s, -4*r - 10 = -3*s. Suppose 0*j = s*j - 24. Calculate the smallest common multiple of j and c(-6).
12
Suppose -5*k + 15 = -0*k. Suppose k*z - 48 = -3*y, -4*z + 5*y + 120 = z. Let n = -18 + 30. What is the least common multiple of n and z?
60
Let x = -6 + 10. What is the lowest common multiple of x and (-689)/(-65) + (-2)/15*-3?
44
Suppose 2*a = -3*m + 10, 5*a + 0*a - 11 = -4*m. What is the common denominator of 597/(-66) - -1 - -3 and a/(-10)*1395/(-24)?
176
Let c = 727 - 319. Calculate the common denominator of (1/(-15))/(16/c) and 145/12.
60
Let c = 28 - 18. What is the least common multiple of c and 4?
20
Let y = -407 - 5402. Let d = y + 150963/26. Find the common denominator of -45/22 and d.
286
Let w = 55 - 17. Suppose -w = -3*r - 4*t, 0 = -3*r + 2*t + 22 + 4. What is the smallest common multiple of 10 and r?
10
What is the common denominator of (-489)/(-144) + 1/6 and -61/22?
176
Let g = -3/872 - 36179/2616. What is the common denominator of 3/45*3/(-2) and g?
30
Find the common denominator of ((-4)/(-22))/((-6)/57) and 74/10*(-1)/2.
110
Suppose 4*q - 49 - 15 = 0. Calculate the common denominator of -57/20 and 2 + (-2 - 82/q).
40
Let b = -5087 - -81449/16. Find the common denominator of b and (-38)/(-57) + 542/(-12).
16
Suppose -2*t + 5*t - 2*p = 2, p + 15 = 5*t. Suppose 2*q + 2 = t. Let z(j) = -j + 4. What is the smallest common multiple of z(-3) and q?
7
Let s(h) = -h**2 + 13. Let d be s(0). Suppose 5*w - 127 - d = 0. Suppose q - w = -q. Calculate the least common multiple of q and 14.
14
Let t = 43 + -197/3. What is the common denominator of -50/3 and t?
3
What is the lowest common multiple of 33 and (-4)/24*-4*45?
330
Suppose 25 = -2*q - 3*q, -q = -z + 21. Calculate the least common multiple of z and 10.
80
Let f = 49 - 545/11. Suppose -102 = -4*v + 98. Find the common denominator of v and f.
11
Let v = -3133/70 + 227/5. What is the common denominator of v and 97/104?
728
Let f(g) = 794*g**2 + 1. Let z be f(-1). Suppose -4*a - 24 = 3*y + 22, -3*a + 38 = -5*y. Calculate the common denominator of (2/(-48))/(y/z) and -51/4.
16
Suppose -o + 24 = 3*z, -5*z - 4 = 3*o - 68. Suppose 0 = 4*m - 7*m + 30. Suppose 28 = 3*x + m. What is the least common multiple of o and x?
18
Suppose -3*v + 3*i + 53 = 2*i, 2*i = 2. What is the smallest common multiple of ((-4)/(-7))/(6/21) and v?
18
Let a be 102/(-9) - 4/6. Calculate the common denominator of 65/3 and ((-6)/(-40))/(a/10).
24
Calculate the common denominator of -103/44 and ((-10)/4)/5 - (-728)/(-64).
88
Let p = -827/258 + 5/129. Let w = 2683 + -7694/3. Let k = w - 123. Find the common denominator of k and p.
6
Calculate the least common multiple of 6 and 1/((-33)/12 - -3).
12
Let b be ((-4)/5)/(12/(-150)). Suppose 7*z = 2*z - b. Let q(g) = 4*g**2 + 2*g. Calculate the lowest common multiple of 20 and q(z).
60
Let i = 1498321/24 - 62383. Let c = i - 515/8. Calculate the common denominator of c and 385/75 - 1/(-6).
30
Let m = -5 - -8. Let k be -1*4 + -2 - 0. Let s = -2 - k. What is the lowest common multiple of m and s?
12
Let k(d) = d**3 + 6*d**2 + 4*d + 1. Let u be k(-5). Suppose -u*j + 30 = -j. What is the least common multiple of j and 18?
18
Let a be ((-4698)/4702 - -1)/3. Let v = a - -726415/155166. What is the common denominator of v and 0 - (-2 + (-11)/(-20))?
220
Suppose 40 = 4*d - 104. Suppose -k - d = -4*p, -18 = -3*p + 3*k - 0*k. What is the smallest common multiple of 5 and p?
10
Suppose -l + 200 = 4*l. Suppose 3*a - 7*a = -l. Suppose 2*w - a - 6 = 0. Calculate the least common multiple of w and 6.
24
Let y = -8 + 51. Let i = y - 15. Find the common denominator of 5/(-10) - i/(-3) and 107/10.
30
Let j = 9366 - 112307/12. Find the common denominator of -139/12 and j.
12
Let k = 27 + -12. Find the common denominator of 31/6 and 13/(-20) - 6/k.
60
Suppose 0 = -z + 2*k + 26, -3*k + 0 = -6. Find the common denominator of (-1)/6 + (-373)/z and -41/2.
10
Let t be (-167405)/(-42) - (-2)/(-1). Let c = -3965 + t. Calculate the common denominator of -101/8 and c.
24
Let y = -102815/21 + 4894. Find the common denominator of 7/2 and y.
42
Let c = -51 + 73. Let o(j) = -j**3 + 16*j**2 + 16*j + 19. Calculate the least common multiple of o(17) and c.
22
Let t(o) = 47*o**2 + 1. Let r be t(6). Let l = -5032/3 + r. Let p = l - 14. What is the common denominator of 1/6 and p?
6
Let b = 4 + -1. Suppose b*f = -f + 24. What is the smallest common multiple of 11 and f?
66
Suppose -3*o + 3 = 12. What is the lowest common multiple of 10 and (o/(-2))/((-6)/(-32))?
40
Let b(r) = -2*r - 10. Let m(t) = t + 5. Let y(u) = 2*b(u) + 5*m(u). What is the least common multiple of 18 and y(11)?
144
Let m = 18164/2835 - 4/567. Let t be (9/(-6) - -2)*48. What is the common denominator of 9/t*108/(-5) and m?
10
Suppose -3*w + w + 18 = 0. Suppose y - 2*g + 14 = -g, 3*g + 9 = 0. Let n = -6 - y. Calculate the smallest common multiple of n and w.
99
Suppose 0 = 2*g - 0*g + 6, -4*s - 3*g + 55 = 0. Calculate the lowest common multiple of s and 20.
80
Let a(g) = g**3 - 2*g**2 - 6*g. Let f be a(5). Suppose 2*v = 5*u - 2*v - f, 3*u - 27 = -2*v. What is the least common multiple of 3 and u?
9
Let u(d) = -d**2 - d - 14. Let q be u(0). Calculate the common denominator of (192/154)/4*q and 49/9.
99
Suppose -8*j = -5*j - 6. Calculate the smallest common multiple of j and 10.
10
Let d = 27085/6 - 4528. Suppose 8 = -i - 16. What is the common denominator of d and -1 + 0 - 256/i?
6
Calculate the common denominator of 91/10 and -2 + (113/6 - 0).
30
Calculate the common denominator of (-3)/(-8)*186/9 and -61/8.
8
Suppose 52 + 165 = -7*h. Let s = -29 - h. What is the least common multiple of 8 and s?
8
What is the smallest common multiple of 10 and 204/16 + 6/(-8)?
60
Calculate the least common multiple of 15 and (18/8)/((-13)/(-52)).
45
What is the common denominator of -25/4 and ((-636)/90)/((-4)/(-3))?
20
Let h be 2/(-3)*29832/(-8). Let r = h + -17441/7. What is the common denominator of r and 4/14 + (-1374)/(-140)?
70
Suppose 4*d - n - 40 = -1, 4*d = -4*n + 24. Let g = 6 - 4. What is the lowest common 