 6 = 0. Suppose u + z = -24. Let w = u - -54. Calculate the smallest common multiple of 6 and w.
60
Suppose 0*h - 8 = -2*h. Calculate the smallest common multiple of h and 10.
20
Let z be -301 + 3/(-6)*2. Let a = z - -919/3. Find the common denominator of a and 55/7.
21
Let j = 63 + -59. Calculate the smallest common multiple of j and 10.
20
Let q = -32 - -80. What is the common denominator of (206/16)/(84/q) and -73/4?
28
Let z = 7 - 0. Let y(j) = 3*j + 10. Let i be y(z). Let s = i - 21. Calculate the smallest common multiple of 8 and s.
40
Let v(j) = -2*j + 26. Calculate the smallest common multiple of v(-17) and 6.
60
Let k(n) = -n - 5. Let b be k(-7). Suppose -b*p + 354 = p. Calculate the common denominator of -23/7 and (p/4 - -1)/4.
56
Suppose -5*o + 34 = -2*d, d = o - 3*o + 10. Calculate the lowest common multiple of 12 and o.
12
Calculate the common denominator of -8 - -11 - 274/44 and (-10)/(-45) + 926/(-360).
220
Let h(u) = -u**2 - 15*u - 14. What is the least common multiple of 24 and h(-13)?
24
Let o(v) = v + 1. Let i(x) = x + 2. Let h(r) = -6*i(r) + 7*o(r). Calculate the lowest common multiple of 11 and h(7).
22
Suppose 0 = -4*u - u + 20. Suppose -5*y = 20, 4*x - 2*y + 7*y + 4 = 0. What is the smallest common multiple of u and x?
4
Let x = 33 - 23. Calculate the smallest common multiple of 18 and x.
90
Suppose 5*z - 2*u + 5 = 0, -3*z + z - 2*u - 2 = 0. Find the common denominator of -19/7 and 46/22 - 2/z.
77
Suppose -5*a + 0*a = 0. Suppose a = 4*t + t - 80. Let k = 13 + -9. What is the lowest common multiple of k and t?
16
Let h = -145 + 303. Calculate the common denominator of -43/10 and (3/10)/(6/h).
10
Let t be (-4)/(-10) + (-4106)/(-10). Let o = t - 284. Let p = o + -307/2. Calculate the common denominator of -19/2 and p.
2
Let u be 2 + 4519391087/(-1341185) + 1. Let n = 3/536474 - u. Let i = -3359 + n. Calculate the common denominator of -29/22 and i.
110
What is the least common multiple of 27 and (-141)/(-6) - 1/2 - 2?
189
Suppose 0 = 3*t + 3*h - 15, 0*t - 3*t - 4*h = -10. Let s be 4/8 + (-258)/(-4). Suppose 4*m = s + 15. Calculate the lowest common multiple of t and m.
20
Suppose 0 = 3*c + 2*c - 100. Let z(f) = -f**3 + 5*f**2. Let r be z(5). Suppose r = 4*a - 23 - 41. Calculate the smallest common multiple of c and a.
80
Let x = 3 - -5. Calculate the lowest common multiple of x and 6.
24
Let v(x) = -x**3 + 7*x**2 + 2*x - 10. Let y be v(7). Suppose y*b = 8*b. Suppose 0 = 2*h - 12 - b. What is the lowest common multiple of h and 1?
6
Let l = 72 + -373/5. Find the common denominator of 11/16 and l.
80
Let o be (4 - 3)*46 - 0. Let w = o - 28. What is the smallest common multiple of w and 18?
18
Let x = 21695/9 + -2404. Find the common denominator of x and -151/6.
18
Suppose -14 = 3*t - 44. Let i = 109523/18 - 6087. What is the common denominator of i and t/(-35) - 383/(-140)?
180
Let m be (-2176)/(-12) + (-2)/(-3). Let a = m - 2. Find the common denominator of 97/12 and (-1029)/a + 2/(-6).
60
Let q(n) = 7*n + 2. Let l = 38 + -24. Calculate the common denominator of q(4) and l/12 - (-4)/6.
6
Let o = -26 - -38. What is the smallest common multiple of 20 and o?
60
Let g = 2865907/5 + -569590. Let j = -3604 + g. Calculate the common denominator of 101/10 and j.
10
Let t be (2/(-244506))/((-11582)/24). Let l = -3890279330549/609795681944 - t. Let p = l - -3/646. Find the common denominator of -37/7 and p.
56
Let n be ((-1)/1)/((-1)/5). Suppose -j - 2*l - n = 0, 6*l - 3*l + 27 = 5*j. What is the lowest common multiple of j and 5?
15
Suppose 3*i = 30 + 102. What is the smallest common multiple of i and 40?
440
Let c(o) = o**2 - 3*o - 2. Calculate the least common multiple of 14 and c(6).
112
Let g be (-92 + 9)*4/6. Let p = 1862/33 + g. Find the common denominator of 6 and p.
11
Suppose -8 - 37 = -u - 5*w, w + 117 = 4*u. Let m = u - 20. What is the least common multiple of m and 2?
10
Let x = 29485/6 - 4889. Calculate the common denominator of 22/19 and x.
114
Suppose 4*v + 22 - 1 = x, -2*v = 6. Calculate the smallest common multiple of x and 18.
18
Let n = -235/14 + 18. Find the common denominator of 173/60 and n.
420
Let c = -1543 - -3189. Suppose 0 = -5*i - c - 259. Let d = -2680/7 - i. Find the common denominator of d and -63/4.
28
Let d(p) = -p**2 + 11*p - 6. Let f be d(5). Suppose -i = -4*u + 27, i - f = 2*i - 3*u. Calculate the least common multiple of 14 and (27/(-2))/(i/20).
126
Let a = -119141/16 + 7449. What is the common denominator of a and -57/8?
16
Let f(i) = -i**2 + 15*i - 27. What is the least common multiple of 21 and f(9)?
189
Suppose 3*k - 10 = 2*g + 5, 3*k - 4*g = 15. Let d = k + 4. Calculate the least common multiple of 3 and d.
9
Suppose 18 = -3*p + 45. Calculate the common denominator of ((-464)/36)/(6/p) and -93/8.
24
Let f = 22 - -68. What is the smallest common multiple of 22 and f?
990
Let v(n) = -n**2 - 7*n + 8. Let s be v(-6). Let m = s + 6. Let c(f) = f**2 + 6*f + 5. What is the lowest common multiple of c(-7) and m?
60
Let j(w) = 5 - 3 + 3*w - 2. Suppose 16 = 2*k + n - 9, 3*n = 3*k - 33. Calculate the lowest common multiple of j(4) and k.
12
What is the smallest common multiple of ((-22)/4)/((-20)/80) and 16?
176
Let h = 18 + -6. Let n = 12 + -9. Suppose 0 = 2*u + x - 47, -n*u + 20 = 2*x - 52. Calculate the smallest common multiple of h and u.
132
Let c(r) = -r - 4. Let y be c(3). Let q = y - -11. Suppose -5*z + 25 = q*t - 5, 3*t + 30 = 5*z. What is the least common multiple of 20 and z?
60
Let f = 6377/6 - 1068. Find the common denominator of -101/56 and f.
168
Let h(v) = -2*v + 5. Calculate the smallest common multiple of 3 and h(-2).
9
Let k = -1260719 - -27729423/22. Let x = k + 290. Calculate the common denominator of x and 85/(-90)*(3 + 0).
66
Suppose 3*m - 2*m + 68 = 4*s, 56 = 4*s - 4*m. What is the smallest common multiple of 2 + (-12)/((-12)/4) and s?
18
Suppose -6*n = -3*n + 2*c - 20, -3*n = -3*c - 45. Let q be 85/n*8/(-146). Let j = q - -3595/1606. What is the common denominator of j and 13/22?
22
Let a(h) = -h + 5. Let g be a(5). Calculate the common denominator of (-109)/14 - g/3 and -87/4.
28
Let w be 9/(0 + 64/(-6924)). Let z = 979 + w. Calculate the common denominator of z and -57/20.
80
Let q(m) = 11*m**2 + m - 1. Suppose 3*n - 3 = -s + n, 2*s + 5*n = 7. Calculate the least common multiple of q(s) and (10/2)/(0 + 1).
55
Let s(o) = -2*o + 4. Calculate the least common multiple of 3/(-2 - (-5)/2) and s(-3).
30
Let g be 132771/(-1512) + (-4)/(-18). Let x = 656/7 + g. What is the common denominator of x and 26/7?
56
Let j = -136596/71 + 1924. Let s = -62845/89 + 44494371/63190. Let c = s - j. What is the common denominator of 70/9 and c?
90
Let v be 15/35*(9 - 2). Suppose -5*r - 5*k = -35, -v*k - 20 - 7 = -3*r. Calculate the smallest common multiple of ((-1)/(1/(-3)))/1 and r.
24
Suppose -4*m + 55 = -5*h - 8, m = 3*h + 7. Calculate the smallest common multiple of 108 and m.
1188
Suppose -2*w = 5*l + 40, 9 = 4*l + 25. Let o be (-12)/w*50/15. Suppose -2*t - 8 = -z + 14, -o*z - 3*t = -77. What is the lowest common multiple of z and 14?
140
Let t(o) = -2*o**3 - o**2 - 4*o - 8. Let p be t(-8). Let b = -10844/11 + p. What is the common denominator of 14/(-20)*111/(-7) and b?
110
Let s = 17921/20460 + 26/465. Calculate the common denominator of -53/4 and s.
44
Find the common denominator of -59/6 and (-2)/8 - 1638/(-392).
42
Let p = 40402/21 - 1923. What is the common denominator of -64/9 and p?
63
Let g = 68105/9576 + -1/1064. Find the common denominator of g and (-1)/2*375/(-9).
18
What is the common denominator of -21 and -2 - (240/(-33) + 1)?
11
Suppose -2*i + 7*i + 5 = 0. Let m be (0/i)/(1/(-1)). Suppose -2*u - z + 42 = m, 110 = 5*u + 3*z + 2*z. Calculate the least common multiple of 10 and u.
20
Let t = -6161 - -110795/18. Let c = 81626/57 - 1432. Let b = c + -211/1140. Calculate the common denominator of t and b.
180
Suppose 0 = 3*h + 3 - 45. What is the common denominator of 15/(-48) - 0 - -3 and 1138/84 + 4/h?
48
Let y = 2 + 1. Let q be (-6)/4*(-2)/y. Suppose t = -4*x + 52, -4*t = -x + q - 5. Calculate the lowest common multiple of 18 and x.
36
Suppose 3*p + 344 = -310. Let h = -1318 - -23711/18. Calculate the common denominator of h and (p/10)/((-44)/10).
198
Let v = 35 - 17. Calcula