pose 7*a + 176 = 11*a. Let o be 869/a*(-86)/(-4). Let r = -430 + o. What is the common denominator of -10/11 and r?
88
Let c be 189*((-3)/(-9) - 0). Let i = c - 52. What is the lowest common multiple of 18 and i?
198
Calculate the common denominator of -71/10 and 34/(2 + (-5 - -109)).
530
Suppose 6 = -3*n + 18. Suppose 6 = 2*a - 34. What is the least common multiple of a and n?
20
Let g(j) = j - 17. Let n be g(7). Let i = n + 19. Suppose 3*k - 6 = s, 2*k - 14 = -3*s + 1. What is the lowest common multiple of k and i?
9
Let d = 28 - 8. Let n(s) = 2*s. Let i be n(5). Let w(l) = l**2 - 10*l + 8. What is the smallest common multiple of w(i) and d?
40
Let a = -1052 - -10461/10. Find the common denominator of a and 1 + -2 - 10/42.
210
Suppose -3*y - 1944 = 3*m, -3*m + 1299 = -5*m - 5*y. Let r = 954 + m. Let x = r + -3389/11. Calculate the common denominator of x and 22/13.
143
Suppose 0 = 3*w + 5*z - 34, 5*w - 4*z = -0*z - 5. Suppose -3*i + w*o = -12, -3*i - 4*o = o - 44. What is the lowest common multiple of 12 and i?
24
Let b be (-4 - 11)*28/(-10). Let g = -30 + b. Let d = g - -6. Calculate the smallest common multiple of 18 and d.
18
Suppose 174 - 49 = -5*z. What is the common denominator of -95/4 and z/(-70)*3*1/(-5)?
28
Suppose -12 = 7*i - 54. Let n = 0 + 2. Calculate the lowest common multiple of n and i.
6
Suppose 48 = 4*i - 24. Let y be 4/8 + i/4. Suppose -y = -l + 2. What is the lowest common multiple of 11 and l?
77
Let v = -49399/8 - -6166. Calculate the common denominator of v and (3090/85)/(-6) + 5.
136
Let o = -1953882 - -21516111/11. Let z = -2125 + o. What is the common denominator of z and (-1312)/198 - (-4)/22?
99
Let d = -74433/14 - -5322. Calculate the common denominator of d and 58/77.
154
Suppose -t = 3*u - 5*u + 35, -74 = -4*u - 2*t. Calculate the smallest common multiple of u and 10.
90
Let c = -30713559/727 - -42247. Let d = -16193/90027 - -8046130919/654496290. Let f = c - d. Calculate the common denominator of 45/22 and f.
110
Suppose -j - 3*i + 0*i + 7 = 0, 4*j + 2 = -2*i. Let y be j/(((-8)/5)/(-4)). Let o = 1 - y. Calculate the smallest common multiple of 5 and o.
30
Let g(f) = -f**2 - 2*f + 37. Let b be g(-7). Suppose b*w - 354 = -5*m + 5*w, 4*m - 298 = -5*w. Calculate the least common multiple of 5 and m.
360
Let w = 107 + -58. Suppose -w = -j + 4*p, 6*j - 3*j = -5*p + 96. Find the common denominator of (j + 2/2)/8 and -71/4.
4
Suppose -5180 = 2*n + 2*w, -3*n + w + 3*w - 7742 = 0. Let x = n - -23318/9. What is the common denominator of x and (-101)/18 + 2/4?
9
Calculate the common denominator of -49/78 and (4*10/440)/(26/(-80)).
858
What is the smallest common multiple of 88 and (-16)/(-20) - 312/(-10)?
352
Suppose -24 = 3*f - 3*d, -f + 3*d - 13 = 5. Let p = -6 - f. Find the common denominator of (-83)/6 + (p - -2) and 47/7.
42
What is the smallest common multiple of 4 and 3770/23 - ((-294)/161)/21?
164
Let d = -6 - -9. Suppose g = 2*f + f - 13, d*f + 2 = 4*g. Calculate the smallest common multiple of f and 18.
18
Let p(b) = 5*b - 30. Suppose 0 = -2*z + 4*k + 22, 7 = -z + 3*k + 18. Calculate the least common multiple of p(z) and 4.
100
What is the common denominator of (3 - (-165)/22)/(4/6) and -85/112?
112
Suppose 4*h - 124 = -r, -r + 34 = -h + 2*h. Suppose h = 5*o - 0. Let b(g) = g**3 + 3*g**2 - 3*g + 2. Calculate the smallest common multiple of o and b(2).
48
Suppose 80 = 2*j + 4*h, -200 = -5*j + 5*h - 2*h. Find the common denominator of 1/5 + 186/j and 94/8*(-4)/(-14).
140
Suppose 0 = -3*u - 2*j + 62, u + u - 4*j - 36 = 0. Suppose -u = 5*i, -n = -0*n + 2*i - 32. What is the smallest common multiple of n and 32?
160
Suppose f - 3*g = 26, -3*f - 3*g + 0*g = -54. Suppose 3*u - u - 35 = -3*n, -u - 3*n = -19. What is the least common multiple of u and f?
80
Find the common denominator of (-9)/(34020/26450) + 7 and -11/21.
378
Let f = -295 - -2397/8. Find the common denominator of 1075/(-180) - (-1 - 1) and f.
72
Calculate the lowest common multiple of 4 and (3480/(-10))/(-6) + (-2 - -4).
60
Let h be (-62)/(-16) + (-6 - 392/(-64)). Calculate the least common multiple of ((-560)/11)/(-5) - h/22 and 5.
10
Let b = -2/599 + -22151/3594. Find the common denominator of (-4)/18 - (2 - 4) and b.
18
Let h = -169 - -76. Find the common denominator of 77/8 and 75/(-10)*h/(-15).
8
Let n(h) = 8*h**2 - 2*h. Suppose 2*w + 3 = -5*p + 1, 2*p = w - 8. Let g be n(p). Find the common denominator of 325/g - (-14)/63 and -85/22.
44
Let z = 5139976/78811 - 447509076501/5957323490. Let b = z - -1/7559. What is the common denominator of b and -10/11?
110
Let f be ((-5955)/(-1132))/(12/8). Let c be (-2)/(-3) - (-1144)/(-1698). Let a = f + c. What is the common denominator of a and -65/9?
18
Let f = -48 + 54. Suppose 96 = f*v - 96. Calculate the least common multiple of 40 and v.
160
Let j be 6/5*(-2 - -32). Suppose -2*h = -j - 8. What is the least common multiple of h and 1/(-2) + (-63)/(-6)?
110
Let w = -1553 - -23309/15. What is the common denominator of w and -27/10?
30
Let o = 84799 - 1529515/18. Let n = o + 339/2. Find the common denominator of ((-4)/(-6))/((-10)/153) and n.
45
Suppose -18 = -0*q - 3*q. Calculate the lowest common multiple of 106 and q.
318
Let m be -3 - 0 - (-13868)/(-944). Let z = m + -92/59. Find the common denominator of (-4)/(-10)*(-65)/7 and z.
28
Suppose 2*s - 34 = -3*g, 2*g + 4*s - 18 = g. Calculate the lowest common multiple of g and 45.
90
What is the common denominator of -64/35 and 0/(0 + 1) - 1938/340?
70
What is the least common multiple of (1/(3/5))/((-82)/(-64944)) and 22?
1320
Let s be ((-90)/(-8))/((-6)/(-1920)). Suppose -2*u - 3*v + 1369 = s, -4*u = -5*v + 4473. Let w = -7873/7 - u. Find the common denominator of 52/3 and w.
21
Let q be -1*2 - 4439018335/180. Let j = 24663067 + q. Let t = j - 1851. What is the common denominator of t and -3/2?
36
Let m = 565 + -531. What is the lowest common multiple of 8 and m?
136
Suppose 0*d + 2*b = -3*d + 1095, 2*d + 5*b - 741 = 0. Let g be (d/(-55))/((-221)/5). Let l = -32777/3978 - g. Calculate the common denominator of -83/6 and l.
18
What is the common denominator of 320/(-30) - 3 - 3 and -97/6?
6
Let h be (18/27)/((-2)/(-12)). Suppose 2*r + h = r + 2*y, 2*r + 4*y - 16 = 0. Calculate the least common multiple of 16 and r.
16
Suppose -j = 2*k - 10, -5*k + 5 = -j - 6. Let v be (-2244461)/(-44)*j/11886. Let a = -2/21791 - v. Calculate the common denominator of 109/30 and a.
30
Suppose 3*b - c - 2 = 0, -5*b = -b + 5*c - 28. Suppose -5*i - 2*s - 3*s + 95 = 0, -s - 35 = -b*i. Calculate the lowest common multiple of 9 and i.
18
Let v = 5/512 + -6277/512. What is the common denominator of v and 11/(847/88) - 579/280?
40
Let q = 179/102 + -3253/1224. Calculate the common denominator of q and 121/24.
72
Let h = -3001/31 + 97. Calculate the common denominator of h and 11/10.
310
What is the common denominator of (-74)/60 + (0 - 1) and (-16)/(-2 - -4) + 463/63?
630
Suppose -23*s + 89 = -463. What is the smallest common multiple of s and -3 - (3 + -7) - -26?
216
Let i be 5/(-346)*(-110341)/(-35). Let y = -10/173 - i. Calculate the common denominator of y and 117/10.
10
Let j = 6 + -3. Suppose 3*g + 5*o + 3 = -14, 2*g = j*o + 14. What is the least common multiple of 7 + (g - -2) + -2 and 8?
8
Let s = 0 - -4. Suppose -5 - 2 = -7*k. Suppose c = -3*x + 5 + k, -c = 4*x - 2. Calculate the least common multiple of s and c.
36
Let x be (0 + 2)*-3*159/(-18). Let r = -47 + x. Calculate the lowest common multiple of 5 and r.
30
Find the common denominator of 43/40 and (1625/28)/(-13) - -4.
280
Let z(x) = x + 0*x + 4 - 4 - 1. Let y be z(7). What is the least common multiple of (9/(-6))/(y/(-40)) and 5?
10
Let c = -18250446298019/98424 + 1668840161/9. Let p = c - 4/1367. Let w = p - -2179/24. What is the common denominator of w and -27/8?
24
Suppose 105 = -45*h + 1860. What is the least common multiple of 754 and h?
2262
Calculate the common denominator of -52/333 and (770/630)/((-1)/(-15)).
333
Let u(x) = -x + 18. Suppose -3*i + 4*i + i = 0. Calculate the lowest common multiple of 14 and u(i).
126
Suppose 5*y + 2840 = 3*y. Let o be (-512)/y*24590/(-372). Let a = -3/4402 - o. What is the common denominator of a and 121/20?
60
Suppose -5*s - 28*s + 660 = 0. Calculate the smallest common