 -58711/8 + 7329. What is the common denominator of w and -73/444?
888
Let a be 2198/9086 + 6/33. Let b = -1963/177 + a. What is the common denominator of b and -27/65?
195
Let q(n) = -n**2 + 78*n - 468. What is the smallest common multiple of 21 and q(36)?
7308
Suppose 0 = -4*x + 23 - 3. Suppose 4*s - 166 = x*f, 5*s = f - 65 + 283. Suppose 2*k - s = -9*k. Calculate the smallest common multiple of k and 5.
20
Let z(q) = -q**2 + 1. Let i(r) = -30*r**2 - r. Let k(f) = i(f) + 3*z(f). Let y be k(-3). Calculate the common denominator of -27 and 3/(-7) + -4 + y/(-189).
9
Let z = 152/15 - -1031/30. Find the common denominator of z and -2 + (-178)/(-4) - 0/7.
2
Let v = -5828513/88 - -66232. Find the common denominator of -49/11 and v.
88
Let c be (-33)/(-6) - 6 - (-7482691)/88. Let v = c + -85031. What is the common denominator of 143/12 and v?
264
What is the common denominator of 29/8 and ((-38)/(-57))/((-528)/261)?
88
Let o = 98049359/360 + -272359. Find the common denominator of o and -83/2720.
24480
Let t be 2/6*2*(-3)/1. Calculate the common denominator of 9/20 and (t/(-18))/((-6 + -4)/(-120)).
60
Suppose -k + 269 = 2*u - 299, 4*k + 3*u = 2307. Calculate the smallest common multiple of k and 4268.
12804
Let c = 23 - 20. Suppose -c*n + 10 = -2*t, 3*t - 5*t = 2*n. What is the smallest common multiple of -8*(-4)/4 - (-6)/n and 8?
88
What is the common denominator of 63/754 and 6/(-21)*(3484/(-160) - -9)?
7540
Let c = -26269 - -61764. Calculate the common denominator of 76*(c/4440 + -8) and 1/21.
1554
Let p = -1050 + 2922. Calculate the lowest common multiple of 12 and p/182*7/2.
36
Let u(v) = v**3 - 16*v**2 - 38*v + 5. Let n be u(18). Let s = -27 - n. Calculate the lowest common multiple of s and 80.
80
Let m = 77 - 325. Calculate the common denominator of ((-6)/(-512))/(-2*9/m) and -55/12.
192
Suppose 0 = 6*u - 2075 + 1205. What is the least common multiple of 232 and u?
1160
Suppose o + 38 = 5*m - 0*o, 0 = 4*m - 3*o - 37. Find the common denominator of (15/(-14) - 0) + -10 + m and 45/188.
1316
Let f = 23 - 23. Suppose -34*p + 29*p + 330 = f. Suppose 13*r + 157 = 443. Calculate the smallest common multiple of p and r.
66
Let v be 1/(-4)*2*2. Let i = 1027 + -1987/2. What is the common denominator of 1 + (-158)/(-16) - v and i?
8
Let k = 22943 + -1009419/44. Find the common denominator of (3 + (-238)/48)*-3 and k.
88
Let r = 152 - 131. Suppose -123 = -2*m + 3*q - r, 2*m - 112 = -2*q. Calculate the lowest common multiple of m and 18.
54
Let h = 30486/7 - 8723/2. Let v be (-90)/8*(-245)/14. Let i = v - 196. Find the common denominator of h and i.
56
Let a(x) = -22*x**2 + 239*x + 48. Suppose -5 = -2*y - 3*n + 16, -5*y - 4*n + 63 = 0. What is the smallest common multiple of a(11) and y?
15
Suppose -10 = -2*s + 2. Suppose 14*k + 10*k - 120 = 0. Calculate the least common multiple of -6*k/(-90)*63 and s.
42
Let w = -740025/28 + 26426. Let m(f) = 48*f - 15. Let j be m(3). Let x = j + -857/6. What is the common denominator of w and x?
84
Suppose -2*t = -4, 56*t - 53 = -5*y + 52*t. Let d = -47 + 50. What is the least common multiple of y and d?
9
Let s be 115857/(-5) - (-4)/(-120)*18. Let h = s + 926763/40. Find the common denominator of -3/44 and h.
440
Let h = -32/311 - -1576587/1244. Let r = 1255 - h. Find the common denominator of 13/75 and r.
300
Let j = 403849/144 - 11219/4. Calculate the common denominator of j and 93/512.
4608
Let x = 10011 - 9971. Calculate the least common multiple of 526/12 - (-3)/18 and x.
440
Let a = -12499/8 + 1556. Let f be 1 + (-5 - (-116700)/14344). Let j = f + 15/326. What is the common denominator of j and a?
88
Suppose 166*h - 61289 - 23703 = 0. Calculate the least common multiple of 48 and h.
1536
Let h = 59989409/3645 - 16458. Let f = h - 251489/58320. Find the common denominator of 91/2 and f.
16
Suppose 5*v = -5, 5*a - 6 = -v + 3. Let c be (-5)/((a/(-4))/(4/8)). Calculate the lowest common multiple of (-12)/(-20) - (-27)/c and 12.
12
Let z = 11832001/60 + -197206. Let l = -3197 + 64003/20. Let m = l + z. Calculate the common denominator of m and 101/12.
12
Suppose -v = -403 + 108. Let q = -259 + v. Calculate the least common multiple of 40 and q.
360
Let z = 53 + -32. Suppose -z*d + 898 = 142. What is the smallest common multiple of 12 and d?
36
What is the common denominator of (309/45 - 5)*4480/6144 and (0 - 1) + 26/80?
360
Let r be 2/5 + (-472)/430. Let o be (225/(-12384))/(2*(-1)/(-180)). Let l = r - o. What is the common denominator of -75/22 and l?
176
Suppose 4*c - 3*s = 5928, -40*s = -4*c - 36*s + 5928. Let z = 1539348/5 + -306383. Let a = z - c. Calculate the common denominator of 56/9 and a.
45
Let y = -319159253/1455 + 438707/2. Calculate the common denominator of y and 41/3201.
32010
Let a = -244 + 347. Suppose 111 = 6*c - 411. Suppose 0 = 2*m + c - a. Calculate the smallest common multiple of m and 7.
56
What is the common denominator of 11/15 and (-221)/609 - 120/(-140)?
435
Let r = 22 + -16. Suppose -4*s + 54 = -r. Let x(q) = -q + 23. Calculate the least common multiple of x(s) and 7.
56
Suppose 17*n = 13*n - 5*j + 5161, -5*n = -j - 6415. Calculate the lowest common multiple of n and 1712.
5136
Calculate the common denominator of 109/1000 and (-15)/24*(6 - 11712/1875).
1000
Suppose 20*r = 199 + 1341. What is the least common multiple of r and 8/44 + (-20272)/(-308)?
462
Let j = -1433/163818 + 28/479. What is the common denominator of 49/114 and j?
342
Let t(z) = z**2 + 12*z - 10. Let i be t(-6). Let h = -500/183 - -4/61. Calculate the common denominator of i/45 + 10/(-50) and h.
9
Suppose j = 4*r - 426, -264 = -5*r + 4*j + 263. Suppose -s + 3*x + 36 = 0, -2*s = 3*x + 35 - r. What is the lowest common multiple of 36 and s?
36
Let f = 196880 - 59851593/304. What is the common denominator of -71/3154 and f?
25232
Let f = -30 - -32. Suppose c - 687 = -f*c. Suppose -11*x - 75 + c = 0. Calculate the lowest common multiple of 22 and x.
154
Let v = 1/31 - 557/930. Find the common denominator of -83/18 and v.
90
Let m(k) = -k + 4. Let s be m(3). Suppose 3*u + 644*t - 648*t - 100 = 0, 2*u - 4*t - 96 = 0. What is the lowest common multiple of (1 - (s - 1))*1 and u?
4
Let c = -297265/17 + 17485. What is the common denominator of c and -173/2652?
2652
Let i = 23 - 16. Suppose 0 = 2*c - 5*s - 48, -3*s + 64 = 2*c - 0*s. Suppose -4*r + 69 = c. Calculate the lowest common multiple of r and i.
70
Let v = -4410991 + 70606893/16. Let d = 1938 - v. What is the common denominator of d and 21/26?
208
Suppose -204*p + 11800 = -145*p. What is the least common multiple of p and 460?
4600
What is the least common multiple of ((-1)/((-16)/60))/(1/24) and 3340?
30060
Let s = 9 + -5. What is the smallest common multiple of -1*((-21)/1 + 6) + 18 and s?
132
Find the common denominator of (14 + (-146)/82*(212 + -204))*5 and (-43)/(-2)*2/(-8).
328
Suppose 5*k - 3*m + 100 = -95, 0 = 3*k + 2*m + 98. Let l = -2595 + 28526/11. Calculate the common denominator of l and ((-4)/(112/260))/(k/42).
66
Suppose 32 = -8*j - 16. Calculate the least common multiple of 120 and (324/(-54))/((j/5)/2).
120
Let j = 4240 - 3954. Calculate the smallest common multiple of j and 130.
1430
What is the common denominator of (-6)/(-91)*98/(-112) and 17/988?
988
Let v = -3118 + 3146. What is the lowest common multiple of 756 and v?
756
Let b(p) = -p**3 + p**2 + 9*p - 4. Let v be b(-4). Suppose 2*f + v = 6*f + 4*h, 5*f = 5*h + 10. Calculate the least common multiple of f and 536.
1608
Let f = 7607/1278 + -9/142. Suppose -4 = -4*i + 6*i, 3*i - 14824 = -5*d. Let j = -20728/7 + d. Find the common denominator of f and j.
63
Let x = 1049531481/8942 + -117371. Let s = x + -178777/563346. Calculate the common denominator of -58/35 and s.
315
Let j(o) = -165*o - 837. Let i be j(-5). Suppose 2*n + 3*a + a + 56 = 0, 4*n - 4*a = -100. Let f = i - n. What is the lowest common multiple of f and 4?
28
Let q be ((-860)/8*3)/((-33)/116). Let b = 298279/264 - q. Calculate the common denominator of (-2628)/(-48)*(16/(-18) - -1) and b.
24
Suppose -49*y + 7127 = 2717. What is the common denominator of 89/62 and (-1)/(-6*y/(-1647))?
620
Let a be (3/1*-1)/(69/(-161)). What is the common denominator of ((-1)/6)/(10/(-303)) and (a + (-290)/40)*90/8?
80
Suppose -21 - 7 = o + 2*t, -148