
Let s be (((-8168)/(-10))/2)/(-6). Let j = s - -362/5. Find the common denominator of 47/18 and j.
18
Suppose 4*l = -3*n - 123, -2*n - 33*l + 30*l = 80. Let r be (-7268)/42*2/(-58). Let a = -65/87 - r. Calculate the common denominator of a and n.
7
Suppose -r = 4*l + 11, 3 = -3*l - 9. What is the lowest common multiple of 3 and r?
15
Let p = 1/2157 - -148823/21570. Let d = 8 - 1. What is the common denominator of ((-10)/d)/((-9)/(-7)) and p?
90
Suppose 6*y - 14 = -2. Let g = 20 + 36. What is the least common multiple of g and y?
56
Let a = -1058 - -7423/7. Calculate the common denominator of a and 127/78.
546
Let z = 6336 - 253497/40. Find the common denominator of 61/16 and z.
80
Suppose -c - c + 38 = -2*f, -f = -2*c + 35. Suppose -2 = 7*u - c. Calculate the least common multiple of u and 2/5 + 66/10.
14
Suppose 0 = -3*o + 111 - 0. Let y = o + -28. Calculate the smallest common multiple of 10 and y.
90
Suppose -f + 6*f + 27 = -x, -5*x - 109 = -f. Let t = -142831/18 + 7931. Calculate the common denominator of t and (-4)/x - (-129)/(-44).
36
Let m = 2602913620 + -20081478615337/7715. Let r = m - -1/1543. Calculate the common denominator of r and 74/9.
45
What is the common denominator of -3 + (-5)/(-200)*-74 and -33/20?
20
Suppose 225*b - 223*b + 38 = 0. What is the smallest common multiple of 32 and (2 - b) + ((-54)/6)/3?
288
Let g be 420/118*(-8)/(-20). Let x = g - 3177/118. Calculate the common denominator of x and (-91)/12 - (-10 - (-507)/52).
6
Let m = 840695/56 + -15012. Calculate the common denominator of m and -103/210.
840
Suppose 0*d = -3*d + 12. Let l = -20535/2 - -9796. Let n = l + 443. Calculate the common denominator of n and d.
2
Calculate the common denominator of (-6)/(-39) - (-5230)/(-4420) and 71/12.
204
Let n be -12*(-116)/30*-5. Let t = -222 - n. Let i = 8 - 0. What is the lowest common multiple of i and t?
40
Suppose 2*q + 3*j - 27 = 0, -5 + 2 = 2*q - 3*j. Calculate the lowest common multiple of q and 9.
18
Let h be ((-11364)/5900 + 1)*-5. Let n = -39/118 + h. Find the common denominator of -27/10 and n.
10
What is the common denominator of -67/4 and 11864/1840 + -3 + (2 - 5)?
460
Let q be (-4)/(-6)*(-777)/(-14). Suppose -r = 7 - q. Let l = 49 + -39. Calculate the least common multiple of l and r.
30
What is the lowest common multiple of 82 and (-376)/(-470) + (-1)/(-5)*1?
82
Suppose 11*g = 12*g - 49. What is the lowest common multiple of 21 and g?
147
Let f = 30/19 + -526/285. What is the common denominator of f and -137/72?
360
Let s be (5 - (-112)/(-24))/(2/(-6)). Calculate the common denominator of -65/22 and 49/((1 - 5) + -15 + s).
220
Find the common denominator of 13/10 and ((-2070)/400 + 8)/(3/(-4)).
30
Let m(o) = 10*o + 513. What is the smallest common multiple of m(-42) and 21?
651
Let z(r) = 44*r + 28. Let v be z(8). Calculate the common denominator of 19/(14/(4 + -2)) and -1 + 9/6 + v/(-16).
28
Let d = -74 + 40. Let v = d + 31. Calculate the common denominator of v/(-15) + 802/(-60) and -48/11.
66
Let p = -4116937/204896 - 6/6403. Let b = p + -7/96. Calculate the common denominator of b and 123/10.
30
What is the common denominator of (77/154)/((-10)/148) and -33/50?
50
Suppose -5*z = -t - 405, 12 = -4*t - 8. Calculate the common denominator of (-3 - z/(-25)) + -2 and 11/9.
45
Let n(y) = 4*y**3 + y**2 - 8*y + 33. Calculate the lowest common multiple of n(3) and 180.
1260
Let m = -48 - -44. What is the smallest common multiple of (51/m)/(29/8 + -4) and 2?
34
Let b be 85763 - (-3)/((-6)/4). Let t = 6860997/80 - b. Let z = -7/5 + t. Calculate the common denominator of z and 23/8.
16
What is the smallest common multiple of 21 and (4 + -82)/(-4 + 2)?
273
What is the common denominator of 960/126 + 2/3 and 5/28?
28
Let x(o) = o + 10. Let c(k) = -k - 11. Let t(d) = 5*c(d) + 6*x(d). Let r be t(-5). Suppose r = -s + 4 + 5. What is the smallest common multiple of 5 and s?
45
Let z = 14 - 14. Suppose z = -9*k + 7*k. Let v = k - -10. What is the lowest common multiple of v and 26?
130
Let a = 3384403416 + -26889085210823/7945. Let s be (9 + (-1144050)/127120)*(-8)/2. Let v = s + a. What is the common denominator of 99/4 and v?
20
Let m(i) = -2*i**3 - 27*i**2 - 17*i - 16. What is the least common multiple of m(-13) and 27?
108
Let c = 20215/6 + -3353. What is the common denominator of 109/490 and c?
1470
Suppose -40 = -575*n + 570*n. What is the lowest common multiple of n and 60?
120
Let r = 3638848/135 + -26955. Calculate the common denominator of r and -41/3.
135
Let r = -8399/6 + 1392. Suppose -28*k = -32*k - 580. What is the common denominator of r and 7/(-18)*k/(-7)?
18
Let p be ((-3)/15*2)/(3/(-75)). Let t(q) = -q**2 + 8*q + 21. Calculate the smallest common multiple of 5 and t(p).
5
Suppose 0 = -2*h + b + 7, -4*h = -b - 20 + 11. What is the least common multiple of 15 and h?
15
What is the smallest common multiple of (-2)/8*-3*520/15 and 130?
130
Let y = 40 - 48. Let m = y + 26. What is the least common multiple of m and 9?
18
Suppose -4 = 2*k - 10. Suppose -2*r + 5381 - 187 = x, k*r - 7796 = x. Let i = r - 18219/7. What is the common denominator of 43/3 and i?
21
Let j = 38 + -26. Let q = -47 + 79. Let c = -12 + q. What is the least common multiple of j and c?
60
Let r = 8 + -4. Calculate the common denominator of ((1070/r)/(-5))/9 and 65/24.
72
Let w(j) = 3*j**3 - 3*j**2 + 3*j. Let a(r) = 2*r**2 - r + 112. Let v be a(0). Suppose 20 = 6*y - v. Calculate the lowest common multiple of w(2) and y.
198
Let b be -22 + 8 - (-2)/(-2). Calculate the common denominator of ((-1)/b)/(10/2034*6) and 15/14.
350
Let k be (-443 + 3)*4/(-8). Suppose 8*j - k = 3*j. What is the smallest common multiple of j and 18?
396
What is the common denominator of 2/65 and 2064/(-1560) + 2 + -3 + 3?
65
Let b = 38 + -16. Suppose s = -2*s + 72. Let t = s + -16. What is the smallest common multiple of b and t?
88
Let f be 1/((6/4)/3). Suppose -f*j = c - 22, 3*j = -2*j + 20. What is the least common multiple of 8 and c?
56
Let b = 1/44 + 5/22. Let l be ((-7)/7)/(0 - 1). What is the common denominator of (53 + l)/(0 + -5) and b?
20
Let w = 2 - -3. Suppose 9 = 3*v + 3*m, w*v - m = 2*m + 55. Calculate the least common multiple of v and 6.
24
Suppose 5*a - 1282 = -4*y + 305, 5 = -5*a. Calculate the lowest common multiple of y and 5.
1990
Let p = 66 - 65. What is the smallest common multiple of 18 and (-210)/(-24) - p/(-4)?
18
What is the common denominator of (10 - (-60)/(-6)) + (-71)/(-120) and -23/6?
120
Let l(z) = 11*z + 36. Let f be l(15). Let n = -4421/22 + f. Calculate the common denominator of n and 67/14.
154
Let p = -154 - -307. Suppose 0 = 2*t + l + 8 - 114, -3*l + p = 3*t. What is the lowest common multiple of 8 and 2/1*t/10?
88
Let p = 29 - -13. What is the common denominator of 88/(-108)*-3*p/8 and -67/16?
48
Let n = -22486 - -1056800/47. Calculate the common denominator of n and 62/9.
423
Suppose 2*m = 6*m + 18532. Let o = -8795/2 - m. Let s = 240 - o. Find the common denominator of s and 61/18.
18
Let h = -129 - -89. Let y = h - -46. Calculate the lowest common multiple of 33 and y.
66
Let l = -1058803/204 - -5190. What is the common denominator of l and 13/272?
816
Let b(x) = -2*x**2 - 32*x - 26. What is the smallest common multiple of 10 and b(-10)?
470
Let c = -24267/22 - -1106. Calculate the common denominator of -29/110 and c.
110
Let k = -141521/25160 + -1/6290. Let z(c) = 21*c**3 + 3*c**2 + 2*c - 1. Let b be z(-2). Let j = b - -651/4. What is the common denominator of j and k?
8
Suppose 4*u + 16 = 2*a, 2*a - 2*u = 26 - 4. Suppose 5*c - 7 = 3. What is the lowest common multiple of c and a?
14
Let s = 16 + -10. Let c = 31 + -34. What is the common denominator of 31/7 and c/(-2)*70/s?
14
Let q = 618/47 - 173940/13207. Let n = q + 8233/3934. Let i = -935/178 - -1/356. Calculate the common denominator of i and n.
28
Suppose 2*i = 17 - 1. Let y be ((-235)/(-20))/(2/i). Calculate the common denominator of 85/2 and y/5 + (-9)/45.
10
Let y be (36/(-15))/(24/160). What is the common denominator of 121/10 and ((-1)/(-3))/((-1)/y)?
30
Suppose 5*d - 3*d = 0. Suppose 3*r + d*r = 5*f - 105, 4*r = f - 38. Calculate the smallest common multiple of f and 16.
144
Let z(d) = d**3 - 17*d**2 + 16*d + 6. Let k = 0 + 4. Suppose -5*s + 83 = -a, 5*s 