).
41772
Suppose 0 = 4*h - a - 48, -53 = -5*h + 2*a + 7. Suppose -h = -3*p + 3. Find the common denominator of 57/4 and p*3/(-39) - (-2 + -1).
52
Let b = -13542/11 - -1230. Let f = -11776 + 1377784/117. Let m = -7775/936 + f. Calculate the common denominator of m and b.
88
Let h = 208 + 8. Let o = h - 204. What is the least common multiple of 4 and o?
12
Calculate the common denominator of -65/1143 and (-69*(1 - 2/3))/(7620/40).
1143
Let v = 306087/23 - 13319. Let x = -633/92 + v. What is the common denominator of (-4 - -1) + (-234)/(-15) and x?
20
Suppose -3*u = -4*w - 55, -2*w + 3*u - 12 = 11. What is the common denominator of ((-22)/(-8))/(1/(-18)) and 6831/(-132)*(-2 - w/6)?
2
Let v(b) = 29*b - 12. Let o be v(-9). Let i = o - -787/3. Let c = 1330/3 - 443. What is the common denominator of i and c?
3
Suppose 7*p = 13*p - 18. Let f = -1813/12 + 151. Find the common denominator of f and (-62)/(-4)*(-5 + p).
12
Suppose 0 = -3*o + 5*f + 39, -2*o + 17 = -o - 3*f. Let v(g) = g**2 - 6*g - 2. Let z be v(5). Calculate the common denominator of -3/8 and ((-6)/z)/(o/147).
8
Let w = -4 - -6. Suppose 5*q = -16*j + 18*j - 88, 0 = 5*j + 2*q - 162. Calculate the lowest common multiple of w and ((-17)/j)/(1/(-230)) - 3.
112
What is the common denominator of 2760/(-414)*(0 - (-9)/(-55)) and 47/55?
55
Suppose -155*z + 14004 = 85*z - 54636. What is the least common multiple of z and 676?
7436
What is the common denominator of (-145)/(-72) - (-14)/(168/(-15)) and -25/204?
1224
Let o = -485/2 - -218. Calculate the common denominator of 9/(-3 + 0) + 1863/297 and o.
22
Suppose 2*x + z = 24, 760*x = 765*x - 4*z - 60. Calculate the smallest common multiple of x and 144.
144
Let f = 248 + -4469/18. Let l = 43651/5016 - 711/88. Calculate the common denominator of l and f.
342
Let c be 6 + -9 + 12/(-3) + 4. Calculate the common denominator of -125/24 and ((-24)/528)/(2/c).
264
Let f = -370 - -374. Suppose 205 = 2*q + 3*b, 7*q = 2*q + f*b + 524. What is the lowest common multiple of q and 65?
520
Let f be -4 + 0 - (24/(-4) + -218). Suppose 0 = -7*u + 17*u - f. Calculate the least common multiple of u and 2.
22
Calculate the common denominator of -4/3 and (5054/(-31464))/((-2)/(-3)).
552
Let y(z) = z**3 - 6*z**2 - 6*z + 3. Let s be y(7). What is the lowest common multiple of 9 and (12/s)/(12/1950*5)?
117
Suppose -60*m = 2*c - 56*m - 4628, 4*c - 9268 = -5*m. What is the lowest common multiple of 8 and c?
9288
Let o(u) = -u**3 - 10*u**2 - 10*u + 2. Suppose 106*x = 3*r + 111*x - 23, -5*r - x + 31 = 0. What is the least common multiple of r and o(-9)?
66
Let a = 842488/626961 + -139/103. What is the common denominator of a and 37/24?
48696
Suppose -29*a = -33*a - 57348. Let t = -903271/63 - a. Find the common denominator of t and -133/12.
252
Let v be -5 + (-8)/(-8) + -658. What is the common denominator of -61/4 and v/(-340) + (-8)/10?
68
Calculate the common denominator of (-86)/16 - (5/(-2) + 2) and -6 - (6 - (-7)/(364/(-577))).
104
Suppose 5*i + 2*a + 2269 = -979, 0 = -3*i - 4*a - 1960. Let u = i - -652. Calculate the smallest common multiple of 44 and u.
44
Suppose -4*f = -f - 18. Suppose 0 = f*c - 7*c - 52. Let v = -28 - c. Calculate the lowest common multiple of 30 and v.
120
Suppose -4*r - 3465 = -5*t, 2776 = 4*t - r - 3*r. Let l = t + -684. What is the smallest common multiple of l and 14/2*30/3?
70
Suppose 0 = 4*a - 3*a - 6. Calculate the common denominator of (25/a)/((-2)/8) and ((-230)/240)/(3 - (4 - 0)).
24
Let i = 226781 - 167818027/740. What is the common denominator of -97/30 and i?
2220
Suppose -3*n - 5*q + 0 = -1, 12 = -4*n - 4*q. Calculate the common denominator of (1/n)/(1/102) and (9 + 364/(-10))*10/(-12).
12
Let b = 37 + -15. Suppose 9*z - z - 32 = 0. Suppose -i + 2*p = -20, -z*i + 30 + 38 = -4*p. What is the smallest common multiple of b and i?
154
Suppose m = -4*v + 3*m, v - 5*m = 0. What is the least common multiple of 1/((-5)/(-70 + v)) and 3?
42
Let z be 1739349/21*3/(-36). Let j = z - -6898. What is the common denominator of -65/56 and j?
56
Let i be (-1)/10*-1148 - 8/10. Calculate the smallest common multiple of 10 and 5/(-4 + i/28).
70
Let w = 1511123 + -9037091/6. Let v(p) = 1236*p**2 - 21*p - 27. Let l be v(-2). Let m = w - l. What is the common denominator of m and -81/8?
24
Let d(h) = -9*h**2 + 140*h + 236. Suppose -4*f + c = -13, 0*c - 2*c + 26 = 5*f. Let o = f + 5. Calculate the smallest common multiple of o and d(17).
45
What is the common denominator of 34/3 and (-258)/80 - (4 + -16)/120?
24
Let d = -24 + 8. What is the common denominator of (-1)/2*(-124)/d and 3/12 - (-1925)/(-252)?
72
Let w(m) = -m**2 - 3*m + 71. Let b be w(-9). Calculate the smallest common multiple of 16 and 819/24 - 2/(b - 1).
272
Let p = -79 - -77. Let f be 4/p + 7 + -14. Calculate the smallest common multiple of 26 and 6/36*f*14/(-3).
182
Let h be (0 - 0/3)/(-1). What is the common denominator of h + -2 - (-50)/24 and (-2988)/(-312) - 8/(0 - -1)?
156
Suppose 0 = -3*g + 28 - 7. Let d(f) = 5*f - 14*f + 9*f - 69 + 3*f. What is the lowest common multiple of g and d(26)?
63
Suppose -146*w = -143*w. Find the common denominator of 13616/(-2280) - (w + (-6)/57) and 59/6.
30
Suppose 512 = -24*b + 40*b. What is the common denominator of -31/32 and (-55)/5 - -7 - (-129)/b?
32
Let a = 41 - 10. Let c = a - 27. Suppose y + 44 = c*p - 4*y, 5*y = 0. Calculate the least common multiple of p and 9.
99
Let v = 8395/63252 + -4/2259. Let s = -4/23331 + -230691/155540. Find the common denominator of v and s.
420
Let x = 5 + -1. Find the common denominator of 113/10 - (x + -2) and (192/40)/((-6)/40).
10
Let p = 7986955/198576 + -4503/112. What is the common denominator of 43/9 and p?
1773
Let o be 348/10 - 20/25. Let l = o + -25. What is the common denominator of (3 - l/12) + -1 and 93/14?
28
Let s = -42 + 48. Suppose s*g - g = 110. What is the smallest common multiple of 6 and 114/g + (-4)/22?
30
Let c = 289 - 287. Calculate the least common multiple of 46 and ((160/(-4))/5)/(c/(-4)).
368
Suppose p = -34*l + 37*l + 28, 8 = -l. What is the least common multiple of 1320 and p?
1320
Let z be 552/1883 - (220/35 - 6). Let r = z + 209/8070. What is the common denominator of 56/9 and r?
90
Let h = -1/258934 - 21879683/62144160. What is the common denominator of -33/8 and h?
480
Let i(n) = n**3 - 16*n**2 - 10*n + 59. Let v be i(17). Let p = -112 + v. Calculate the lowest common multiple of 36 and p.
396
Suppose -4*q = -11*q + 32732. What is the common denominator of 3 + 0 - (q/152)/7 and -97/6?
114
Suppose -2*u + 244 = 5*x, -3*x - 2*x - 3*u = -246. Let n = -6 - -8. Suppose -n = -5*o + x. What is the smallest common multiple of 24 and o?
120
Let s = -93805990/6737 - -13924. Let k = 343555/107792 - s. Find the common denominator of (-105)/(-40) + (-2)/(-2) and k.
16
Let j = -32448365/234 - -138668. Calculate the common denominator of -163/546 and j.
1638
Let r(l) = 55*l + 191. Let i = 32 - 35. Find the common denominator of r(i) and -77/20.
20
What is the common denominator of 60/(-36)*((-43)/12 + 9/36) and 155/396?
396
What is the smallest common multiple of ((-338)/(-3))/(2/6) and ((-36)/90)/((-3)/30)?
676
Let f(n) = 5*n**2 + 2*n - 2. Let t = -616 + 466. Let d = 154 + t. What is the least common multiple of d and f(2)?
44
What is the least common multiple of 966 and 3 - -4 - (-16 + 6 + (-10)/2)?
10626
Calculate the common denominator of 97/8898 and (-15 + (-4494)/(-112))/(12/16).
8898
Let n = 17 - 7. Calculate the lowest common multiple of 7 - (-1 + 3) - (-10 + 7) and -3 - (9/3 - n).
8
Let x = -6251 - -174943/28. What is the common denominator of x and 27/4438?
8876
What is the common denominator of 69251/(-142428) + 84/154 and 103/12?
996
Calculate the common denominator of 22/(-4) - 10148/(-354) and 76/375.
750
Let k(i) = 33*i - 157. Let m(h) = -98*h + 469. Let w(p) = -14*k(p) - 5*m(p). What is the smallest common multiple of w(6) and 84?
84
Let n = 1988 + -21820/11. Let d = 613413/16 - 38339. Find the common denominator of d and n.
176
Let o(r) = -3*r**2 + 14*r + 21. Let b be o(6). Find the common denominator of 40/7 and 2 + 198/87 + b.
203
Let n = -989/2 + 2025/4. What is the common denominator of (3 - (-289)/228) + -4 and n?
228
What is the common denominator of -1/48 and 4/(320/1220