3). What is the common denominator of ((-1)/n)/((-10)/474) and -59/20?
20
What is the common denominator of ((-2223)/(-744) - 3)/(15/(-770)) and 109/20?
620
Let v(u) = -u + 2. Let k be v(-7). Suppose -k*n + 6*n = -36. What is the lowest common multiple of n and 2?
12
Let l(u) = u**2 - 8*u + 2. Calculate the lowest common multiple of ((-8)/1)/(0 + -1) and l(8).
8
Suppose -3*v + 4*v - c - 7 = 0, 2*c - 18 = -2*v. Let r(u) = u. Calculate the least common multiple of r(v) and 20.
40
Suppose 4*z - 5*z + 13 = 2*d, 3*z - 19 = 4*d. Calculate the lowest common multiple of 27 and z.
27
Calculate the common denominator of -73/12 and (171/54)/(4/6).
12
Suppose 94 = 3*m + 58. Calculate the lowest common multiple of 20 and m.
60
Suppose -3*q - 13 = -4*z, -q - 8 = -3*z + 3*q. Suppose 5*v - 4*n + n = 42, 4*n = -2*v - z. What is the lowest common multiple of 0 + 2 + 0 + 2 and v?
12
Let t = 386293/21 - 18391. What is the common denominator of t and -13/33?
231
Suppose -5*v - 267 = -5*m - 57, 0 = -4*v + 5*m - 171. Let a = 47 + -84. What is the common denominator of a and v?
1
Calculate the common denominator of (-281)/70 - (-2)/(-7) and 41/20.
20
Let i = -604 - -1832/3. Calculate the common denominator of -20/27 and i.
27
Let x = -7 - -7. Suppose -4*f + 9*f + 50 = x. What is the least common multiple of 2/6 + f/(-6) and 22?
22
Let j = 285257/47106 + -2/23553. Find the common denominator of -121/90 and j.
90
Suppose -r + 4*l = l + 6, 3*r + l = 12. Suppose r*z + 3*c = 27, 2*z + z = c + 7. What is the least common multiple of z and 11?
44
Suppose -5*n + 3*n = d + 2856, 0 = -4*d. Let h be ((-4)/(-6))/(n/(-6198)). Let t = h + 20/51. Find the common denominator of -26/11 and t.
77
Find the common denominator of 1 - 1 - (-60)/9 and 24/(-84) - (-1202)/(-56).
12
Let c = 42 - -4. Let l = c - 32. What is the lowest common multiple of l and 22?
154
Suppose -2*w + 0*w = 2*k - 48, 0 = k. Calculate the smallest common multiple of w and 12.
24
Suppose 4*c = 2*c + 8. Suppose -3*l + c*t = t + 3, -l = 4*t - 19. Calculate the common denominator of (2/l)/(44/(-225)) and -115/12.
132
Find the common denominator of -15/28 and ((-29)/(-3))/(336/72).
28
Let i = -1308 + 9196/7. What is the common denominator of 17/11 and i?
77
Let u = -566 - -1636/3. Find the common denominator of u and -53/7.
21
Suppose -j + 3 = -3. Let z(q) = -q**2 + q - 1. Let f be z(0). Let g(o) = -7*o - 2. What is the smallest common multiple of j and g(f)?
30
Let q(l) be the first derivative of 19*l**2/2 + l - 1. Suppose 6 = 4*v - 2. What is the smallest common multiple of v and q(1)?
20
Find the common denominator of (-2)/(-3) - (-679)/(-294) and -11/8.
56
Let w = -31337/6 - -5237. Let z = -3 + 13. What is the common denominator of w and 45/15 - (-3)/z?
30
Let o be (10/2)/(2/10). Suppose -2*p + 19 = -o. Calculate the lowest common multiple of 2 and p.
22
Let y = -1170801/12914110 + 27/117401. Let p be 2/4 - 1704/3344. Let v = y + p. Find the common denominator of -97/8 and v.
40
Suppose -47 = -4*z - 5*q, -5*z + 4*q + 4 + 24 = 0. Find the common denominator of z and 31/4.
4
Let v = -6 - -17. What is the least common multiple of v and 2?
22
Suppose -8 = -3*z - 2. Let c be z + (-4044)/2 + 1. What is the common denominator of c/312 + (-4)/26 and 83/14?
56
Suppose -5*k = 4*q - q - 19, -3*q = -5*k + 1. Suppose 2*t + k + 12 = 4*w, 0 = 4*t - 2*w + 4. Calculate the smallest common multiple of 7 and (1 - -5)*1/t.
42
Let x = 49 + -31. What is the least common multiple of x and 15?
90
Suppose 0*u + 5*o - 18 = -u, 0 = -4*u + 5*o - 3. What is the smallest common multiple of 10 and u?
30
Let s = -3 - -1. Let p be 3/s*1948/(-6). Let m = -2419/5 + p. Calculate the common denominator of m and 32/7.
35
Suppose 4*r - 30 - 50 = -4*b, r = 2*b + 8. Calculate the least common multiple of r and (-27)/3*-2 - 0.
144
Suppose -3*t = t. Suppose -z = 5*m - 5, -4*m + z + 11 + 2 = t. What is the smallest common multiple of 2 and m?
2
Let q = -68 - -111. Let n = -94577/4542 - 8/757. What is the common denominator of q and n?
6
Calculate the common denominator of 8/4*39/(-18) and 20/9.
9
Let x be (3/4)/((-564)/6446). Let q = x + -5/94. Calculate the common denominator of 2*-1 + 192/28 and q.
56
Suppose 4*v + 24 = 4*k, -5*k + 30 = -2*v + 9. Let m = v + 6. Calculate the lowest common multiple of 10 and m.
30
Suppose -t = -0*t - 27. Let b = -23 + t. What is the least common multiple of 8 and b?
8
Calculate the common denominator of ((588/20)/(-3))/1 and -3/8.
40
Let s = 1/55 + -3/44. Let h = -5566 - -122427/22. Find the common denominator of h and s.
220
Calculate the common denominator of -109/12 and 2/5 - -22*14/(-40).
60
Let b = 1/149656 - -819216941/448968. Suppose -3*j - 7368 = j. Let f = j + b. What is the common denominator of -16/11 and f?
33
Let f = 67 + -47. Let l = -12 + f. Let d(s) = s + 12. What is the least common multiple of d(-6) and l?
24
Let f = -59769/182 - -2284/7. Calculate the common denominator of f and 3/10.
130
Let m = 2195/3 - 719. Let g = -147/8 + 197/8. Calculate the common denominator of g and m.
12
Suppose -2*d + 3*w = -25, 5*d - 2 = 5*w + 63. What is the smallest common multiple of ((-35)/d)/(1/(-2)) and 0 - (-3 + (0 - -2))?
5
Suppose 2*b = -28 + 116. Calculate the least common multiple of b and 40.
440
Let i = -3 + 9. Calculate the lowest common multiple of i and 12.
12
Let r = -509/4 - -130. What is the common denominator of -43/5 and r?
20
Let m(l) = l + 19. Suppose 4*z + 0*w + 3*w = -42, 2*z = -4*w - 26. Calculate the lowest common multiple of 6 and m(z).
30
Let m = 869936 + -6101042/7. Let q = m - -1638. What is the common denominator of 55/3 and q?
21
Let o = 58975/68 + 756/17. Let g = o + -930. Let d = -529/90 + 98/45. Find the common denominator of d and g.
20
Suppose -2*p = 7 - 29. Let q(s) = -3*s + 3. Calculate the least common multiple of p and q(-2).
99
Let f = -5 + -31. Let b = -18 - f. Calculate the smallest common multiple of 2 and b.
18
Let r(v) = -v**2 - 6*v - 3. Let s(g) = -g - 8. What is the least common multiple of s(-16) and r(-4)?
40
Let w = 2653/828 + 477/92. Let t = 548 - 1173/2. Find the common denominator of w and t.
18
Let v = -2426 + 50866/21. What is the common denominator of v and -15/8?
168
Suppose -10 = -5*v + 10. What is the least common multiple of 40 and (v + -6)*(-3 - -1)?
40
Let h(q) = -q**3 - 5*q**2 - 4*q - 2. Let d be (3/(-4))/(2/(-16)). Suppose f - 45 = d*f - 4*y, -2*y = f - 5. What is the lowest common multiple of h(f) and 10?
90
Suppose 7*p + 5*v = 2*p + 55, 5*v = 3*p - 1. Calculate the smallest common multiple of -28 + 29 + 2 + (-24)/(-3) and p.
77
Calculate the common denominator of -113/20 and ((-34)/(-765))/(8/(-10)).
180
Suppose -3*p - 2*m = -0*m - 99, 2*p - 79 = 3*m. Calculate the common denominator of p/(-3) + (-10)/15 and 17/7.
21
Suppose 5*q - 2*v - 114 = 0, 3*q + 9*v - 56 = 4*v. What is the smallest common multiple of 76 and q?
836
Calculate the smallest common multiple of 4/(-14) + 240/56 and 18.
36
Let t = 2029/2 + -989. Calculate the common denominator of (8/30)/((-12)/288) and t.
10
Let w = 1 + 7. What is the smallest common multiple of w and 32?
32
Let p(t) = 2*t**2 + 1. Suppose y - 3 = -5*b, -3*b + 15 = 5*y - b. Let u be p(y). Suppose -4*a + 51 = u. What is the least common multiple of 9 and a?
72
Calculate the common denominator of 35/3 and 222/210 + 3/(-15).
21
Calculate the common denominator of -17/6 and 707/(-126) + 4/(-18).
6
Let k(l) = -l**3 - 5*l**2 + 16*l - 24. Calculate the lowest common multiple of 1 and k(-8).
40
Suppose 2*s - s + 734519 = 0. Let b = 694847369/946 + s. Let g = b + 504/43. Find the common denominator of -73/4 and g.
44
Suppose 0 = -0*l + l - 20. Let a = l - 14. What is the lowest common multiple of a and 14?
42
Let p(k) = -k**3 + 18*k**2 - 17*k + 10. Calculate the lowest common multiple of p(17) and 18.
90
Suppose 3*y + 24 = 4*z - 25, -2*z + 3*y + 29 = 0. Let r = -20 + 29. What is the lowest common multiple of z and r?
90
Let c = -369 - 569. Let k = c - -382. Let g = k + 2155/4. Calculate the common denominator of -95/12 and g.
12
Suppose -5*f = -10 - 0. What is the least common multiple of (f - 0) + (3 - 1) and 2?
4
Let r = -3/5011 + -310547/225495. Calculate the common denominator of r and -109/10.
90
Let a(f) = -f**3 - 14*f**2 - 