Let o = -92828327 - -57367921447/618. Let f = o - -32/103. Find the common denominator of f and t.
66
Let m = 13063274 - 8556439127/655. Let c = m + -15/262. Suppose -2*y - 26 = -116. Calculate the common denominator of y and c.
10
Calculate the common denominator of 49/304 and -10 + ((-15975)/(-288))/5.
608
Let x = -514/3 - -170. Find the common denominator of x and 48/499.
1497
Let z(o) = o**3 - o**2 - 13*o - 10. What is the lowest common multiple of z(5) and 110?
550
Let i = 2820 + -2809. Suppose 4*d - c - 2 = 0, 3*d = d - 2*c + 6. Calculate the lowest common multiple of i and d.
11
Suppose 2*o - 2*l - 62 = -0*l, 3*o - 2*l = 98. What is the smallest common multiple of o and 32?
288
Let y(c) = -3*c - 7. Let w be y(-3). Suppose 0 = 3*x - 4*a - 34, a - 8 = w*x + 6*a. Calculate the least common multiple of x and 4.
12
Let g(f) = -f**2 - 10*f - 9. Let q be g(-7). Suppose -4*v + 92 = q. Suppose 5*a = -4*w + 65 + 57, 0 = 4*w - 12. What is the smallest common multiple of v and a?
220
Let h = -332182 - -78087. Let i be h/13398 + 6/(-33). Let r = 4/203 - i. What is the common denominator of r and 83/6?
6
Suppose 2*y + 1 = 17. Let n = 78 + -73. Suppose 3*u - 17 + n = 0. Calculate the least common multiple of y and u.
8
Let g = -3586/105 - -247/7. Calculate the common denominator of g and 115/18.
90
Let n(t) = t - 6. Let d be n(4). What is the lowest common multiple of 6/((-2)/d)*2 and 12?
12
Let v = 107 + -355/4. Let h be 22*1/(-4)*-10. Find the common denominator of v and 25/(-20)*(-26)/h.
44
Let x(o) = o**3 - 3*o**2 + 2*o + 2. Let u be x(2). Calculate the common denominator of 4/33 and (-304)/(-48) - (-1)/u.
66
Let b(d) = -81*d**2 + 4. Let f be b(3). Let i = -5088/7 - f. What is the common denominator of i and -151/12?
84
Let x = 1020881/30 + -34033. Let c = -87277671 + 32641814823/374. Let f = 1512/17 + c. Find the common denominator of f and x.
330
What is the smallest common multiple of 15 and ((-70)/28)/((-2)/(0 - -12))?
15
What is the common denominator of 39/35 and 82/30 + -1*(5 - 7)?
105
Calculate the common denominator of 10/5 - -1 - 562/96 and 45/7.
336
What is the smallest common multiple of -6*(1 + (-339)/9) and 10?
220
Let d be ((-7)/(-4) - 2) + (-2530)/(-10152). Let s = 102791/2538 + d. Find the common denominator of s and (-1 + 234/44)/(-1).
22
Let o = -9514 - -1065507/112. Calculate the common denominator of -121/144 and o.
1008
Suppose 8 = 3*v + 5. Let y be (0 - v)/(10/(-50)). Suppose -3*i + 30 = 4*g, -i + 55 = 4*i + y*g. What is the lowest common multiple of i and 14?
14
Suppose -4*a + 84 = 4. Suppose 2*x = -0*x + a. Calculate the least common multiple of (6/7)/((-2)/(-42)) and x.
90
Let g = -14 + 56. Calculate the common denominator of 19/24 and ((-8)/28 - 0) + 782/g.
24
Let g = 5500325/84 + -65478. What is the common denominator of g and 20/231?
924
Let n be 2 - (-9)/(-5) - 843/15. What is the lowest common multiple of 1 + 0 - 7/(-1) and (-2)/(-3) + (n/(-6) - -1)?
88
Calculate the common denominator of 97/92 and (-26 + (-14 - -6))*2/24.
276
What is the lowest common multiple of (-1*4)/((-48)/216) and 495?
990
Suppose -4*l - 1 = 31. What is the common denominator of 3 + (51/4)/((-90)/84) and l?
10
Let x = 77 - 54. Calculate the smallest common multiple of 9 and x.
207
Let r(d) = -4*d**3 - d**2 + 2*d - 1. Let j be r(1). Let s be -6*j/16*2. Suppose -5 = -s*t + 16. What is the smallest common multiple of 16 and t?
112
Let t be 10/3*18/4. Suppose t*j = 10*j - 50. What is the lowest common multiple of 12 and (-242)/j + (-1)/5?
24
Let x(w) = -w**3 - 26*w**2 + 54*w - 40. What is the smallest common multiple of 16 and x(-28)?
16
Let q be (9/12)/(3/(-36)*1). Let u = -3 - q. What is the lowest common multiple of 7 and u?
42
Let m(a) = -a**2 + 6*a + 73. Let i = 20 + 4. What is the smallest common multiple of m(11) and i?
72
Let i = -147 - -156. What is the lowest common multiple of i and 31?
279
Suppose -4*n = 8 - 4, 4*k = n + 17. Let g = -2812/3 - -1895/2. What is the common denominator of g and k/(-18) + (-975)/(-54)?
6
Calculate the least common multiple of 2 and -2*(-6 - (-96)/(42/(-7))).
44
Let t be 1/(-3)*93/(-7). Let i = 44/39 - 1322/273. Let b = i - t. Calculate the common denominator of -33/7 and b.
7
Suppose -39 = 3*t - 4*r + 11, -r + 53 = -3*t. Let g be t/4*(-2)/3. Calculate the least common multiple of 6 and g/((-5)/((-100)/6)).
30
Let p = -1128/11 - -21349/198. Find the common denominator of 11/68 and p.
612
Suppose c - 32 = -4*y, -3*y = -7*y + 4*c + 52. What is the smallest common multiple of 3 and y?
9
Suppose s = -4*s - 2*f + 70, 2*f = -10. Let i(h) = h**2 - 18*h + 49. Calculate the common denominator of i(s) and 2/4 - 103/18.
9
Suppose 4*w + 76 = 2*x, 0*w - w - 2 = 0. Suppose 3*n + 2*n - 50 = -5*h, -3*h + n = -x. What is the lowest common multiple of 21 and h?
231
Let a(t) = 23*t**3 + t**2. Suppose 2*w + 14 = 2*l + 5*w, -2*l + 5*w = 18. Let p be a(l). Suppose p = 5*m - 66. Calculate the lowest common multiple of 4 and m.
36
Let y = 22 - 5. Suppose y*f - 48 = 21*f. Calculate the smallest common multiple of 12 and f*6/(72/(-20)).
60
Let f = -98 + 100. Let v = 6 - 4. Suppose 28 = 3*h - v*a, h = -0*h - a + 11. What is the least common multiple of f and h?
10
Let d(b) be the first derivative of -b**2/2 + 29*b + 21. Calculate the smallest common multiple of d(11) and 12.
36
Let f = -703 - -708. Calculate the lowest common multiple of f and 86.
430
Let x = 45/1637 - -91318/191529. Calculate the common denominator of x and -38/91.
819
Suppose 3*y + 141 = -0*y. What is the common denominator of (-44)/(-396) - (-1222)/(-144) and y?
8
Let n(f) = -10*f - 69. Calculate the smallest common multiple of 7 and n(-7).
7
Let d = 287 - 125. What is the smallest common multiple of d and 10?
810
Let c be (-7648538)/84 + 6/(-18). Let j = c + 185231/2. Let g = j - 1568. What is the common denominator of g and -34/23?
161
Suppose -6*m + 1887 = 31*m. Calculate the least common multiple of m and 187.
561
Suppose 2*m + 5 = 15. Suppose 2*k - 273 - 317 = 2*s, m*s + 10 = 0. Let p = -898/3 + k. Calculate the common denominator of p and -67/2.
6
Suppose 3*n = 3*l - 0*n + 78, 3*l + 4*n = -71. Calculate the least common multiple of (-23)/(-5) - (-15)/l and 6.
12
Let q be -802 + (-7 - 0 - 8/(-2)). Let f = 6367/8 + q. Let z = 1/14 + 305/42. Calculate the common denominator of z and f.
24
Let x = 5619 + -112353/20. Let r = 640 - 57. Calculate the common denominator of x and (1/4)/((-33)/r).
60
Let j(h) = h + 21. Let a be j(-18). Find the common denominator of (-298)/160 + (-4)/20 + a and 11/28.
112
Let j = 3609768599/2482 - 1454379. What is the common denominator of j and -73/6?
7446
Suppose 0*i - 10 = 5*i. Find the common denominator of 3/i*340/(-165) and (((-1 + 4)/(-3))/9)/((-12)/2196).
33
Calculate the common denominator of -107/48 and (58/(-812))/(108/(-1834)).
432
Suppose o + 5 = 0, 5*k + 5 = -0*k + o. Let f = -13911/8 + 1732. Find the common denominator of 118*(-2)/(-56) - k and f.
56
Let k be 3/(-6)*2*25 + -3. Let d = 38 + k. Calculate the least common multiple of 6/(-5)*(-10)/3 and d.
20
Let h(y) = y**3 - 11*y**2 + 4*y - 10. Let a(x) = x**3 + 15*x**2 + 12*x - 18. What is the smallest common multiple of h(11) and a(-14)?
170
Suppose -5*l = 0, -8*l - 25 = -5*i - 3*l. Let v be (38/8)/(2/(-8)). Let s = v + 30. Calculate the lowest common multiple of i and s.
55
Let s = 98106/187627 - 234/407. What is the common denominator of s and 73/6?
2766
Let i = 128666/3605 + -1257/35. Let c = 6513/1030 + i. Let b = -7862/5 - -15611/10. Calculate the common denominator of c and b.
10
Suppose 4*t - 2*h = 98, -t + 0*t = -h - 22. What is the lowest common multiple of 30 and t?
270
What is the common denominator of 1430/(-66) - 2/(-12) and -51/71?
142
Let p = 188 - 1318/7. Find the common denominator of -2 - (4 - 24/(-21)) and p.
7
Let h = 1694 + -59294/35. Calculate the common denominator of h and -27/56.
280
Let x = 1984 - 1982. Suppose 2*r = -1 + 3. Calculate the lowest common multiple of r and x.
2
Suppose -w = 3*w - 40. Suppose h + 0*h - 2*f = -8, w = 5*f. Calculate the smallest common multiple of h*(1/1)/(-2) and 9.
18
Suppose r - 1 - 2 = -2*c, -3*r + 2*c = -9. Suppose -x - r = 1. What is the common denominator of -33/5 and (-84)/195 - x/(-5)?
65
Let m(s) = s**3 