minator of q and 53/1461.
8766
Let s = -112 - -111. Let z be 32325/(-20) + s/(-4). Calculate the common denominator of -63/25 and z/(-64) + 4/(-1).
100
Let z = 5515 + -27702/5. Let k = z + 1048/45. Calculate the common denominator of -40/3 and k.
9
Suppose 7*r = 20*r + 338. Let u be (11/(-33))/(r/676004). Let h = -8666 + u. Calculate the common denominator of -47/3 and h.
39
Let l be ((-9)/(-15))/(2/60). Let m = -279 + 284. Suppose -72 = -m*d + l. Calculate the lowest common multiple of d and 3.
18
Let b = 27349 + -22863677/836. Calculate the common denominator of b and 79/380.
4180
Let w = -961 + 962. Suppose 0 = 12*u - 6*u - 48. Calculate the least common multiple of w and u.
8
Let z = -4953/4 + 1230. What is the common denominator of -22*(-15504)/354816 + 8/7 and z?
48
Let h = 114 - 34. Find the common denominator of (h/(-84) - -2) + 0 and 393/54 + (16 - 16).
126
Let v(q) = -91*q + 33. Let h be v(8). Calculate the common denominator of (h/600 + 7/35)*2 and -57/32.
96
Let x = -4/7645 + 405257/137610. Suppose 117 = 4*w + 3*a, -w + 116 = 3*w + 4*a. What is the common denominator of (-416)/(-330) + w/225 and x?
198
Let v(d) = -30*d - 128. Let q be v(-6). What is the common denominator of 71/18 and 1/10*q*(-5)/(-120)?
180
Let o = -422/73 + 128101/22046. Let x = o + -11290/1359. What is the common denominator of x and 53/168?
504
Let f(p) = 111*p - 41*p - 42*p + 212 - 36*p. Calculate the least common multiple of 1 and f(26).
4
Suppose 0 = 2*u + 3*x - 1463 + 882, -4*x = -12. What is the least common multiple of 6 and u?
858
Suppose -4*w - 3*k = -1827, -45*w = -43*w + 3*k - 909. Calculate the lowest common multiple of 1224 and w.
3672
Suppose -3*i + 3*y = -1569, -18*y = 3*i - 13*y - 1609. Calculate the lowest common multiple of i and 192.
2112
Find the common denominator of 8 + -5 + 10/10 - (-10983)/(-2784) and -125/348.
2784
Let a = 191322137/544 - 351695. What is the common denominator of a and -51/4?
544
Suppose 4*s - 2*l - 207 = -l, -s - l = -53. Suppose 3*q - 12 = 0, 14*b - 5*q - s = 11*b. What is the lowest common multiple of 10 and b?
120
What is the common denominator of 65/6 and 1628/624 - (-3 - (-6 - 0))?
156
Let i(n) = 4*n + 47. Let f be i(-11). Suppose -m + 24 = -5*k - 4, 0 = -3*m - f*k + 84. Calculate the lowest common multiple of m and 8.
56
Let w(f) = -f - 10. Let g be w(-13). Suppose -l + 32 = g*l. Calculate the least common multiple of (l - 5) + 9 + 0 and 4.
12
Let s be (-12)/(-18) - (28/6)/(-2). Let b be (((-333)/(-6))/s)/(3/138). Let r = b + -5916/7. Calculate the common denominator of r and 1/2.
14
Let y(a) = 41*a. Calculate the smallest common multiple of y(2) and (-5184)/486*(-1 - 0) - 2/3.
410
What is the lowest common multiple of 468 and (6*2/(-15))/((-32)/3600)?
2340
Let v = -1/14779 - -1748518283/206906. Let l = v + -8443. Calculate the common denominator of (16/24 + 0)/((-16)/1044) and l.
14
Let n = 15312 + -12180. What is the least common multiple of n and 2436?
21924
Suppose 5*c + 10*q - 13*q = -1180, -5*q = -2*c - 453. Let n = 329 + c. What is the lowest common multiple of 30 and n?
90
Suppose -3*l + 138 = -2*d - 9, -2*d = -5*l + 249. What is the lowest common multiple of 34 and l?
102
Let d(q) = 5*q + 11. Let y be d(-3). Let b(i) = -i**3 + 3*i**2 - 13*i - 72. Calculate the lowest common multiple of 20 and b(y).
460
Let h = 4141 - 4060. Calculate the lowest common multiple of 828 and h.
7452
Suppose 2*s + 2*m = -4, 13 = 14*s - 13*s - 2*m. Let f = 109 + -101. Calculate the smallest common multiple of s and f.
24
Let z = -171277/120 + 2853/2. Find the common denominator of 179/540 and z.
1080
Suppose 110 = 5*q - m, -49*q + 130 = -44*q - 5*m. Calculate the least common multiple of 29 + 24/3 + -2 and q.
105
Calculate the common denominator of ((-288)/112 - 3/(-1)) + (-19884)/63840 and 47/95.
760
Suppose 3*c = 5*t + 354 + 1, -4*c - 2*t + 508 = 0. Let w be 7 - (-1 + -1)/1. Suppose w*x - c - 19 = 0. What is the smallest common multiple of x and 12?
48
Let t = -145 + 235. Suppose -3*i - 9 + t = 0. What is the common denominator of (1/i)/((-6)/(-369)) and 13/44?
396
Let w = 47733/11 + -4343. Calculate the common denominator of -2 + (1 - 58/(-4)) and w.
22
What is the common denominator of 89/176 and ((-17)/4)/((84/(-15))/((-4)/(-10)))?
1232
Suppose 4*l - 20093 + 5849 = -4*h, 2*l = -3*h + 10678. Calculate the lowest common multiple of 140 and h.
17780
Suppose -13*u + 23*u - 91180 = 0. Let k = u - 164065/18. Calculate the common denominator of -41/39 and k.
234
Let j = -9345 + 9475. What is the lowest common multiple of 350 and j?
4550
Let b = -108 + 116. What is the common denominator of (14/(-693))/(b/(-570)*1) and 33/14?
462
Find the common denominator of 2/87 and 1850/(-150)*(-2)/(-108).
4698
Suppose 427*h - 916608 = -325*h + 290*h. What is the lowest common multiple of h and 192?
5952
Let f be ((-8)/(-2) - 3)/1. Suppose -38 = -3*r + y, 2*r + 3*y - 18 - 22 = 0. Calculate the lowest common multiple of (26/(-4) + f)*-4 and r.
154
Let d = 248/45 + -1729/360. Calculate the common denominator of d and 17/588.
1176
Suppose 3*g + 35 + 69 = -4*l, -5*g + 2*l - 156 = 0. Let k = -44 - g. Let m = k + 22. Calculate the least common multiple of 18 and m.
90
Let m = -655/3 + 210. Let p = 6608 - 217988/33. What is the common denominator of m and p?
33
Suppose 875 - 899 = -8*x. What is the smallest common multiple of x and 1851?
1851
Let g(k) = k**2 + 2557 + 0*k - 8*k - 2568. What is the smallest common multiple of g(10) and 5*(-2 + (-68)/(-10))?
72
What is the common denominator of -109/1914 and (514/(-174) + 3)*(-990)/72?
1914
Let n be (-120)/64*(-4 + -4). Find the common denominator of -39/7 and ((-138)/(-1251))/(4 + (-65)/n).
973
Calculate the common denominator of (-22)/(-96448)*1328 - ((-18)/(-8) + -2) and -37/3562.
7124
Let c be ((-2)/(-2))/((-8)/16). Let n(q) = 7*q**2 + 37*q + 19. Let p be n(-8). What is the common denominator of p/(-60) - c/(40/15) and -101/22?
110
Let t = 3429 - 3149. What is the lowest common multiple of t and 185?
10360
Let g(m) = -m + 19. Let z be g(7). Suppose 0 = 7*q - 10*q - z. Calculate the smallest common multiple of 9/6 - 2/q and 18.
18
Let u = 7965727/90 + -88509. Find the common denominator of -4 + (-8994)/(-1296) + -3 and u.
1080
Let x = 96375 - 17347639/180. Find the common denominator of x and 1/396.
1980
What is the common denominator of (5/(-150))/((-104)/(-4758)) and 33/284?
2840
Suppose -3*r + 10 = 34. Suppose -3*h + 6 = 3*z, 2*z - 4 = -2. Calculate the least common multiple of ((-3)/7 + 1)*(6 - r) and h.
8
Suppose 4*t - 5*y - 300 = 337, 0 = -2*t - y + 315. Calculate the least common multiple of t and 34.
2686
Let y = 7 + -12. Let m = -1/2655 - 6784/2655. What is the common denominator of y/44*40/3 and m?
99
Suppose 0 = -11*a + 7*a. Suppose a = 9*v - 6*v - 30. Calculate the least common multiple of v and 47.
470
Let o = 23 - 11. Let r(d) = 3*d**2 + 416*d - 1708. What is the lowest common multiple of r(4) and o?
12
Find the common denominator of 103/104 and ((-12)/56)/((-14256)/46508).
2808
What is the least common multiple of 15 and ((-4)/16 + -9)/(7/(-336))?
2220
What is the smallest common multiple of 12 and 169/13 + -8 - -135?
420
Let x = 976 + -32182/33. Let t be (-1)/((-1356)/12022 - 0). Let b = 34/113 + t. Calculate the common denominator of x and b.
66
Let d = -2847 + 28351/10. Find the common denominator of (1/(-2))/(87/116)*(-880)/(-1952) and d.
1830
Let x = -6304 + 6880. What is the smallest common multiple of 36 and x?
576
Let u = 679/4 - 176. Let c be (-74)/136 - (-5)/((-50)/(-10)). Let o = c + -2993/748. Calculate the common denominator of u and o.
44
Let c = -11 - -9. Let d be 2 + 10595610/1092 + c/13. Let h = d + -9713. Find the common denominator of h and 37/4.
28
Let d(r) = -47*r - 1153. Calculate the lowest common multiple of 4 and d(-29).
420
Let t = -8/18267 + 1053797/913350. Calculate the common denominator of -31/2550 and t.
2550
Calculate the least common multiple of 666 and (12/20)/((-1)/(-5)) + -62 + 65.
666
Find the common denominator of (-94958)/(-118660) + (-472)/590 and 71/3.
35598
Let k = -13577 + 2715459/200. Calculate the common denominator of k and -1/5600.
5600
Suppose 82*k - 208 + 44 = 0. What is the smallest common multiple of (-4)/(-3)*18/12 and k?
2
Let a 