 the common denominator of ((-23)/(-4))/((-2)/(-3)) and (-2 - -4 - -1) + (-196)/8?
8
Suppose -2*f + 20 = 3*d + 3*f, -3*d - 4*f + 16 = 0. Suppose -2*k + 38 = 2*m, 5*m + 2*k + k - 97 = d. Calculate the least common multiple of m and 16.
80
Let u(o) = 259*o**2 - o - 1. Let n be u(-1). What is the common denominator of n/90 - 3/5 and 93/22?
198
Let q = 14 + -8. What is the least common multiple of q and (-2 - -4) + (-2 - -11)?
66
Let i be (-6)/(-2) - (7 - 8). Suppose 4*t + c = 107, 0*c + 5*c + 89 = i*t. Calculate the lowest common multiple of t and 14.
182
Let i(t) = -2*t. Let x be i(-2). Suppose -2*l + 0 + 5 = -s, -x*l + 8 = 0. What is the least common multiple of 2 - (s - -4)/(-3) and 6?
6
Let u = 1174 - 4627/4. What is the common denominator of u and -87/22?
44
Let d = 50 + -47. What is the lowest common multiple of d and 10?
30
Let y = 2352 - 9339/4. Suppose -3*o - 11 = -5*l, -l = -4*l - 5*o + 27. What is the common denominator of y and l?
4
Let a(t) = 10*t - 1. Let h be a(1). Let r = h - 5. Calculate the least common multiple of 4 and r.
4
Let c = -5 - -11. What is the lowest common multiple of c and 12?
12
Suppose 0*b + 216 = -3*b. Calculate the common denominator of -71/9 and 12/b + 14/6.
18
Suppose 2*f = -f + 54. What is the smallest common multiple of f and 12?
36
Suppose -120 = -8*y + 3*y. Let m = y + -14. What is the lowest common multiple of m and 8?
40
Let y = -117414/1645 - -2382/35. Let r = -7709/1034 - y. Let j = 14167 - 283261/20. Find the common denominator of j and r.
220
Let o = -19 + 13. Let h = -4 - o. Calculate the least common multiple of h and 10.
10
Let q = 397/10 - 527/15. Find the common denominator of 59/9 and q.
90
Suppose 12 = 4*i + 4. Calculate the smallest common multiple of i and 8.
8
Let q(i) = i**2 - 6*i + 3. Let v be q(6). Suppose -2*r - 26 = -v*y, 6*r = -3*y + 3*r + 6. Calculate the lowest common multiple of 12 and y.
12
Suppose 0 = -l + 162 - 21. Calculate the common denominator of 11/10 and (2 - 1)*l/30.
10
Suppose 3*i - 11 + 2 = 0. Suppose 0 = -i*d + 2*d - 33. Calculate the common denominator of (-14)/(21/d + 1) and 109/14.
14
Let z = -30 + 43. Let w = 4 + -10. Let m = w + z. What is the lowest common multiple of 1 and m?
7
Let j = -2 + 18. Suppose -2*n + 30 = 2*x, -3*n - 3 = -x - 0. Calculate the lowest common multiple of x and j.
48
Let d be (-4)/(8/15)*-2. Suppose 2*y - d - 21 = 0. What is the smallest common multiple of 13/(273/18)*21 and y?
18
Let l(w) = -w**2 - 3*w - 2. Let c be l(-3). Let h(a) = 5*a**3 - a**2. Calculate the lowest common multiple of (18 - 15)/((-3)/c) and h(1).
4
Suppose -n = 4*x + 6, n - x + 2 - 6 = 0. What is the least common multiple of 5 and n?
10
Suppose 42 = 2*n - 6. What is the least common multiple of 6 and n?
24
Let o be (0 - 1)*-120 + -1. Find the common denominator of -95/22 and (-1)/5 - o/(-140).
220
Let a = 2 - -5. Calculate the least common multiple of 3 and a.
21
Suppose 3*o = -2*o + 10. What is the smallest common multiple of (-574)/(-34) + -1 + 238/2023 and o?
16
Suppose -5*x + 6 = -39. Let n = x - -13. Calculate the smallest common multiple of n and 16.
176
Suppose 11 = 3*z - 61. Find the common denominator of 36/7 and (2/5)/(z/(-162)).
70
Let r = -41 + 106. What is the least common multiple of 10 and r/15 + (-2)/6?
20
Suppose -4 = 3*f + f. Suppose -4*m + 3*m = 2*o - 8, -o = -3*m + 59. What is the lowest common multiple of m and (f + 5)/(2 - 0)?
18
Suppose 4*b = 4*r + 24, -2*b + 4*b - 5*r - 18 = 0. Let q(n) = -n**2 + 18*n + 25. What is the least common multiple of b and q(19)?
12
Let d be (-4 - -2) + 48/2. Let m = -37 + d. What is the least common multiple of (4/3)/((-2)/m) and 3?
30
Let w = -1631/3 - -535. Calculate the common denominator of -89/6 and w.
6
Calculate the common denominator of -7/24 and -2 + 146/6 - 18/6.
24
Let x = 482 + -901/2. Let r = -139 + -116. Find the common denominator of r/66 + (-3 - -2) and x.
22
Suppose -12*s = -20 - 40. Calculate the smallest common multiple of 14 and s.
70
Let w(m) = m**2 - 5*m - 4. Let g be w(6). Find the common denominator of -43/70 and (-558)/(-360) - (-2)/g.
140
Let y = 2/801481 + 124226441/1247905917. Let c = y - -2/173. Let r = -7944/5 - -1595. What is the common denominator of c and r?
45
What is the common denominator of 103/18 and (-1156)/288 + 4 + (-1)/(-3)?
72
Calculate the lowest common multiple of 30 and 8*2/4 - 1.
30
Suppose 40*o - 12 = 38*o. Suppose 11 = 2*u - 11. What is the lowest common multiple of o and u?
66
Let f = 10 - 11. Find the common denominator of -9/7 and (-134)/20 - f/5.
14
Suppose 4*s = -o + 25, -5*o + 5*s + 20 = -155. What is the lowest common multiple of 15 and o?
165
What is the common denominator of 27/10 and ((118/55)/(-1))/((-4)/5)?
110
Suppose -10 = -2*c + 7*c. Let l(k) = 2*k**2 + 2*k + 4. Calculate the least common multiple of 5 and l(c).
40
Let f = -14 + 31. Calculate the lowest common multiple of f and 7.
119
Find the common denominator of -7/20 and 1 + ((-115)/16 - 0).
80
Suppose 2*h + h = -30. Let s = 16 + h. What is the least common multiple of 10 and s?
30
Let g = 1766 + -21205/12. Let s = 123743/12 + -10322. Find the common denominator of s and g.
12
Let z = -17661 - -388449/22. What is the common denominator of 15/2 and z?
22
Let c = 1 + 13. What is the least common multiple of 14 and c?
14
Let h = -2866 - -40151/14. Calculate the common denominator of h and 65/32.
224
Suppose 0 = 5*f - 177 + 37. Let o = -145/51177 + -511598473/42476910. Let c = o + -21/83. What is the common denominator of f and c?
10
Let l = 66 - 39. Let a = l - 19. Calculate the least common multiple of 7 and a.
56
Let s be (2 + 7854/2)*-1. Let n be (-43271)/2*(-2)/(-11). Let a = n - s. Calculate the common denominator of 11/2 and a.
22
Suppose 0 = 2*f + 16 + 2. Let c = 20 + f. What is the least common multiple of c and 5?
55
Suppose 3 = -2*x + 27. What is the smallest common multiple of 2/((x/(-44))/(-3)) and 20?
220
Let g(d) = d**2 - d - 6. Let z be g(-6). Suppose -5*m = v - 0*m + 10, m - z = -4*v. Calculate the lowest common multiple of (1 + -2)/(2/(-22)) and v.
110
Let x = 486/3181 - 202086721/6362. Let m = x - -30436. Let z = 1289 + m. Calculate the common denominator of z and 31/4.
4
Let t be 14214/4*(-3)/738. Let p = -33/41 + t. What is the common denominator of p and 99/4?
4
Suppose -3*a + 6*a + 37 = 4*s, 3*s - 27 = 3*a. Calculate the lowest common multiple of 22 and s.
110
Suppose -2*s + 3 = -17. Calculate the lowest common multiple of 1 and s.
10
Let b = 3315 - 29896/9. What is the common denominator of b and 95/4?
36
Let i(c) = -3*c - 7. Let d(r) = -r**3 + 3*r**2 + 2*r - 3. Suppose -12 = -6*q + 2*q. What is the least common multiple of d(q) and i(-6)?
33
Let r = -215/4 - -54. Calculate the common denominator of r and 53/3.
12
Let c = -26 - -52. Suppose -5*g + 2*j = -c, 2 - 8 = -2*g + 3*j. What is the lowest common multiple of g and 7?
42
Let a(b) = b**3 + 2*b**2 - 2*b + 1. Let q be a(1). Suppose 4*c - 2*k = 18, 0*k = 4*c + 2*k + q. Calculate the smallest common multiple of c and 2.
2
Let z = 5 + -6. Calculate the lowest common multiple of 12*6/(-9)*z and 6.
24
Let x(v) = -10*v + 24. Let p be x(9). Let d(q) = q**3 + 4*q**2 - 2*q + 5. Let k be d(-4). What is the common denominator of -85/14 and (k/p)/((-2)/(-18))?
154
Let q(c) = 2*c - 7. Let j be q(5). Suppose -j*t = t - 16, -3*t = 4*b - 20. What is the least common multiple of b and 3?
6
Let n(i) = -i**3 + i**2 + i + 1. Let z be n(0). Let v = 11 - z. Calculate the lowest common multiple of 10 and v.
10
Suppose -r + 5 + 5 = 0. Let f(g) = 2*g**3 - 3*g**3 + 3 - 1. Calculate the lowest common multiple of r and f(-2).
10
Let j be (2 - 2 - 1) + 6. Suppose 21 = 2*i - j*b, -i - 2 = 5*b - 5. What is the least common multiple of i and 6?
24
Let k = -2417 + 1704. Let y = k + 2161/3. What is the common denominator of (-2)/5 - (-762)/80 and y?
24
Suppose 107 = d - 93. Suppose k + 3*k = d. Suppose 2*o - 18 = -x, -2*x = -5*x - 4*o + k. What is the least common multiple of 14 and x?
14
Suppose 0 = 4*k - 12. What is the smallest common multiple of 7 and -6*(-1)/(k/4)?
56
Let f(s) = -s**3 + 14*s**2 - 12*s - 7. Let y be f(13). Calculate the least common multiple of 6 and y/14 + 78/14.
6
Suppose -3*p = p - 240. Let v be 2/(-3) - 3746/6. Calculate the common d