 the common denominator of z and 23/44.
352
Let d = -1/642300 - 2288017/113526525. Calculate the common denominator of -81/3232 and d.
22624
Let p = 1131525482/12435 + -454976/5. Calculate the common denominator of -2/21 and p.
17409
Suppose 72556 = -5*r + 23356. Let k = r + 246032/25. Calculate the common denominator of -85/8 and k.
200
Let r = 54469/3 + -3268033/180. What is the common denominator of (30/16)/(6/88) and r?
180
Let u(r) = r**3 - 2*r**2 + 11*r - 40. Let k = 118 - 55. Calculate the least common multiple of k and u(4).
252
Let g = -14063/180 + 78. Calculate the common denominator of 37/90 and g.
180
Let w = -55/456 + 101/76. What is the common denominator of w and 202/(-72) + (7 - 7)?
72
Let z be -6*((-44)/3)/((-8)/84). Find the common denominator of -38/7 and (z/(-8))/((-1743)/(-7)).
1162
Let s = 1 + 1. Suppose 0 = -s*k + 5*t + 51, -2*k - 5*t = 2*k - 87. Suppose k*q - 12 = 20*q. What is the lowest common multiple of 10 and q?
20
Let u be (-803)/(-165) - 2/(-15). Suppose 0 = u*x - 9*x + 240. Let g(r) = 8*r**2 - 3*r + 2. What is the lowest common multiple of g(2) and x?
420
Let d = -2807/24 - -331/3. Find the common denominator of d and ((-31)/(-930))/(132/(-2255)).
72
Suppose -5*a + 2*j - 363 = 0, -3*a = 4*j + 304 - 81. What is the common denominator of -2*a/(-1*(3 - 19)) and 0 + (-107)/(-10) + 15/75?
40
Find the common denominator of -73/63578 and ((-60)/(-27) + -2)*-9*319/(-132).
190734
Suppose 0 = t + g - 628, -2*t + 4*g - 3*g + 1253 = 0. Calculate the smallest common multiple of 76 and t.
2508
Let m be 102/(-22)*(0/10 - 1828). Let g = m + -16222739/1914. What is the common denominator of g and -113/48?
1392
Let p = -28 + 73. Suppose -p*f = -47*f + 40. Calculate the smallest common multiple of (24/10)/(1/5) and f.
60
Suppose 6 = -2*n + 108*u - 109*u, -5*u - 12 = n. Suppose 5*l + 0*l = -195. What is the common denominator of 125/6 and -5*l/(-72)*n?
12
Suppose -4*f + o = -400, -222 + 22 = -2*f - 4*o. Calculate the least common multiple of 60 and f.
300
Let f(y) = 2*y - 2. Let c be f(1). Find the common denominator of (-254)/(-36) - c - 1 and (-5286)/(-1020) - 18/(-153).
90
Suppose -4*i + 3 + 5 = 0. Suppose 12 = -i*w - 72. Let a = w - -45. Calculate the lowest common multiple of a and 21.
21
Let m(t) = t + 1. Let q be m(0). Let c be q - (-2 - (0 - -2)). Suppose c = 2*u - 13. What is the least common multiple of u and 6?
18
Let p = -64 + 67. Suppose -3*u - 3 = -r, 0*u = -5*r - p*u + 105. What is the lowest common multiple of 34 and r?
306
Let q(u) = 66*u - 312. Let w be q(5). Suppose 3*x + 4*v - w - 523 = 0, -899 = -5*x - 4*v. What is the smallest common multiple of 5 and x?
895
What is the common denominator of 93/10 and 99885/9015 + (-10 - 1)?
6010
Suppose 0 = f + 14 - 16. Let s be 1 - -1 - (f + -4)*32. Suppose -s + 282 = 6*v. What is the lowest common multiple of 9 and v?
36
Let n = 16 + -42. Let m = n - -26. Calculate the lowest common multiple of (-295)/(-25) + m + (-1)/(-5) and 6.
12
Let r(y) = 76*y**3 - y**2 + 1. Suppose -6 = 7*m - 13*m. Let s be r(m). What is the least common multiple of (4/(-18) - s/(-18)) + 9 and 7?
91
Calculate the lowest common multiple of (165416/(-203))/(-8) + 1/7 and 170.
510
Suppose i = 4*z + 99, 3*z = 58*i - 60*i + 154. What is the lowest common multiple of 10 and i?
830
Let p = 3993 + -2965. Calculate the least common multiple of p and 8.
2056
Let x be 2*((-70)/(-15))/((-16)/12). Let y = 394/15 + 637/30. Calculate the common denominator of y and 3/(-7) + (1570/(-175) - x).
10
Let h(k) = -15*k - 2. Let q be h(-3). Let v = -15409/3 + 5153. Find the common denominator of v and q/34 + (-1)/(-4).
204
Let x(q) = 7*q + 328. Let w be x(-49). Calculate the smallest common multiple of w/((-225)/(-1240))*-3 and 8.
248
Suppose -30*s + 11*s + 64218 = -2282. Calculate the smallest common multiple of 45 and s.
31500
Let x be 20/15*57/(-2). Let u = x + 52. Suppose 0 = -9*d + 4 + u. What is the lowest common multiple of 8 and d?
8
Let g = -205/6767 - -10196627/1299264. Let q = g + -47/6. Find the common denominator of 43/72 and q.
576
Let j = 3703 + -3699. Calculate the smallest common multiple of j and 2267.
9068
Let g = 304 + -303. Find the common denominator of -41/6 and (g/(15/136))/(954/45).
318
Let y = 173/16 + -16771/1520. Find the common denominator of -54/589 and y.
2945
Let a(l) = -l**3 - 12*l**2 - 6*l + 2. Let g = -7 + -3. Let k be a(g). Find the common denominator of 2*k/60 + (-4)/(-10) and -97/2.
10
Suppose -16 = 5*g - 26. What is the common denominator of (g/495)/(36/4905) and -1/21?
1386
Let o(k) = -10*k - 8. Let l be o(-1). Let z be 1 + 5/10 + (-3)/l. Suppose -2*t + 8*t - 192 = z. What is the least common multiple of 6 and t?
96
Let v be -5 - (-59612)/(6 - 4). Let h = v + -536281/18. What is the common denominator of h and 133/12?
36
Let k = -968/43 - -24759/1075. Find the common denominator of k and 13/1775.
1775
Let v be (406/42)/((-3)/(-630)*2). Suppose r - 325 = -u, 5*u + v = 7*r - 4*r. What is the smallest common multiple of 6 and r?
330
Let y = 81/100 - 1/100. Calculate the common denominator of ((-8)/(-16))/((-120)/(-1590)) and y.
40
Find the common denominator of ((-2)/16)/((-4095)/(-29380)) and -103/105.
630
Let k(c) = -c**2 - 15*c + 32. Let t be k(-17). What is the lowest common multiple of (-3 + (t - -2))/((-66)/44) and 35?
70
Let x be (-36752 - -19)/((1 - 0)/1). Let r = x + 2938753/80. What is the common denominator of r and 173/30?
240
Suppose 0 = -d - 3*l - 65, 2*l = -d + 7*l - 41. Calculate the common denominator of 99/2 and (-550)/d + 66/154.
4
Let t be (-32 + 22)*(-54)/4. Suppose 0 = -5*d + r + t, -2*d = -7*d - 4*r + 160. Let a = d + -17. What is the lowest common multiple of 5 and a?
55
Let x = -25781551/375 - -68751. Calculate the common denominator of x and -137/30.
750
Calculate the common denominator of (3 + 2367/(-27))/(4 - (-500)/(-5)) and 23/432.
432
Let w = -10140 - -10144. What is the lowest common multiple of (-29 - 1)/(9/(-30)) and w?
100
Suppose 3*s = 63*v - 61*v + 1284, -4*s = -4*v - 1704. What is the lowest common multiple of 351 and s?
5616
Suppose -t + 53 = 43. Suppose 16 + 17 = 3*x + 3*p, p = 2*x - t. Calculate the least common multiple of x and 7.
7
Calculate the smallest common multiple of 351 and (0/(-6) + -2)*(0 - (-4095)/(-14)).
1755
What is the common denominator of 178/(-738) + -1*(-2)/((-16)/(-2)) and 81/4264?
38376
Let t = 22 - 18. Calculate the common denominator of t/12 - 356/48 and (0 - 6/(-60))*(-1 - -122).
60
Let f be (414/12)/(3/6). What is the common denominator of (2/f)/((-42)/63) and -43/6?
138
Let p(s) = s + 6. Let o be p(-9). Let g be 6*(o + 35/10). Suppose 3*z - 4*z + 1 = -3*d, 2*z - g*d - 17 = 0. Calculate the least common multiple of 10 and z.
80
Let k = 471603 + -4715981/10. Let h be (2503/(-4))/((-6)/(-68)). Let r = h - -7112. What is the common denominator of k and r?
30
Let h = -14553 - -14681. What is the least common multiple of 88 and h?
1408
Suppose -5*z + 6 = -3*j, 3*z - 12 = 2*z - 3*j. Let w(y) = y**2 + 8*y + 3. Calculate the smallest common multiple of w(-9) and 2 + z + -2 - -9.
12
Let p(v) = -5*v**2 - 289*v + 39. Calculate the smallest common multiple of p(-54) and 3.
1065
What is the common denominator of ((-6)/20)/(8/(-95)) and 327/3740*583 + -51?
1360
Suppose -4*m = -5*m + 2*c - 12, -3*c = -m - 15. Find the common denominator of 2/(-8) + (-63)/(-15) and (-5 - (-2766)/324) + (m - -2).
540
Suppose -2*v + f + 10 = 0, 4*v - 40*f + 45*f - 48 = 0. Suppose 5*r + 2*k - 3 = k, -3*k - 3 = 3*r. What is the least common multiple of r and v?
7
Let q = 19/524 + 4991/10480. What is the common denominator of q and 67/160?
160
Let n be 36 - 2 - (1 + 1 - 1). Suppose 13*f = n*f - 40. Let h = -6 + 12. Calculate the lowest common multiple of h and f.
6
Suppose 241415 - 25890 = 96*d + 7013. Calculate the least common multiple of 54 and d.
19548
Calculate the common denominator of -2*65/(-20)*16/(-40) and -15/2213.
11065
Suppose -4*t = -3*f + 96, -4*f - 2*t + 6*t = -124. Let h(r) = -r**2 + 134. Calculate the lowest common multiple of f and h(8).
140
Let k(c) = -120 + 111 + 2*c - c - 5*c. Let w(s) = -s + 2. Let y be w(-2). Calculate the common denominator of k(y) and 65/2.
2
Let o be (-2 - -1)*4/158. Let g = -1363/790 - o. Calculate the common 