 the common denominator of x and (-18)/(-33) - 1 - (1 + -1).
264
Calculate the common denominator of 4/1625 and -2 + (-31788)/(-3900) + (-30)/5.
1625
Let g = 162/61 - -843/854. Let i be (27/6)/((-5)/10). Calculate the common denominator of g and (-9)/i + (-13)/8.
56
Let i = 40 + -42. Let p = i - -11. Let l = 15 - p. What is the least common multiple of 8 and l?
24
Let l = -73 + 75. Find the common denominator of (-58)/4 + (l/(-6) - -1) and -95/8.
24
Let b(t) = t**3 - 10*t**2 + 16*t - 5. Let c be b(11). Let h = c + -234. What is the smallest common multiple of 10 and h?
290
Suppose -69*z - 130 = -751. Calculate the smallest common multiple of z and 1848.
5544
Let z be 12/2*46/69. Suppose -3*k = z*i - 32, 0 = 5*k - 28*i + 24*i. Calculate the lowest common multiple of 36 and k.
36
Let t(g) = g**3 + g**2 - 3*g - 4. Let c be t(-3). Suppose -5*x = -x - 124. Let u = x + c. Calculate the least common multiple of u and 20.
180
Let n = 84040509475935/977779 + -1890909107/22. Let r = n - -13/1726. Find the common denominator of r and 15.
103
Let i = -151439/8 - -18934. Calculate the common denominator of -42/12637 and i.
101096
Let k = 6 - 4. Suppose 8*g - 285 = -261. Suppose g*a + 2*o - 60 = 0, -96*a - 16 = -97*a - 2*o. What is the smallest common multiple of k and a?
22
What is the common denominator of ((-12920)/(-3264))/(20/18) and -81/208?
208
Calculate the lowest common multiple of 276 and (5/2)/(((-12)/(-128))/(504/480)).
1932
Suppose -46*a + 6717 = -157043. Calculate the smallest common multiple of a and 140.
24920
Suppose 5*k = 5*g - 85, -34 = -4*g + 2*g + 5*k. Let v(s) = -g*s - 21*s - 18*s + 55*s + 9. Calculate the least common multiple of v(0) and 18.
18
What is the common denominator of (55/(-44))/(270/(-48)) + (-2)/(-48) and 47/24?
72
Let d be 3 + -1 + 2 - (-1724)/(-280). Let f = d + 4507/840. Calculate the common denominator of f and 0 - (1 - (-214)/(-12)).
24
Suppose 1508 = 3*r - 4*i - 234, -i + 7 = 0. What is the least common multiple of 1475 and r?
2950
Let z = -85/54044 - -57/458. Calculate the common denominator of 31/232 and z.
13688
Find the common denominator of ((-917)/74 + 6 - -8)*3/889 and -133/6.
28194
Suppose 0*m - 15212 = -m. Let g = m + -212869/14. Let y = g + -17/42. Calculate the common denominator of y and -103/10.
30
Let s = 3646737/20461 - 6596/37. Calculate the common denominator of s and -34/77.
6083
Let u be 6/(-15) - 51/(-15). Suppose j + 66 - 3 = 5*b, 0 = -u*b - 4*j + 24. Let p(a) = -a**2 + 5*a + 40. Calculate the least common multiple of p(8) and b.
48
Let g = -10 - -16. Suppose 0 = g*s + 3*s - 90. Suppose 0 = -10*o + 15*o - s. What is the lowest common multiple of 31 and o?
62
Suppose n + 5*r - 24 = 0, 5*n - 2*r + 4*r = 5. What is the common denominator of -7*(-2)/((-36)/(-19)) and (42/(-36) - n)/(3/402)?
18
Let i(x) = 2*x**2 - 9*x + 5. Let m be i(4). Let j be (5 - 67) + m/(-1). Let v = j + 74. What is the least common multiple of v and 7?
77
Let c = -240 + 245. Calculate the common denominator of -59/20 and (2 - 957/572)/((-1)/c).
260
Find the common denominator of (-4172)/20832*(1 + (-14)/6) and 29/12.
1116
Suppose -11*g = -10*g - d + 15, -4*g = 5*d + 87. What is the common denominator of 7/(-14)*22/g and 107/54?
54
Let a be (144/14)/(8/896*3). Let b = -213 + a. Calculate the least common multiple of b and 33.
1881
Suppose 2*l + 2*d = 528, -5*d + 0 = -5. Let w = l + -248. Suppose 6 = 2*a - 2. Calculate the smallest common multiple of w and a.
60
Suppose -13*s = -521 - 519. Suppose m + s = 9*m. What is the least common multiple of m and 10?
10
Suppose -u = 4*t + 12 - 55, -44 = -2*t + 4*u. Suppose 0 = 25*a - 132 - 168. Suppose a*b - 1240 = -19*b. Calculate the smallest common multiple of b and t.
120
Calculate the common denominator of 2/(-6) + (-1)/(56/132) and (-61)/(-1098)*212/14.
126
Let p be (138/4)/(120/512). Let v = 135 - p. Let k = v - 63/10. Find the common denominator of -5/14 and k.
14
Suppose 0 = -591*w + 590*w + 50. Calculate the common denominator of -8/93 and w.
93
Calculate the common denominator of 10/35*(-340)/(-464) and 50/17.
6902
What is the common denominator of -8/171 and ((-192)/190 - -1)/(9/423)?
855
Find the common denominator of ((-858)/(-390))/((-432)/(-130)) and 91/354.
12744
Calculate the least common multiple of 1/((-12 - 9)/(-35910)) and 3420.
3420
Suppose -d - 336 + 64 = 0. Let j = 105 + d. Let f = 749/4 + j. Find the common denominator of 67/2 and f.
4
What is the common denominator of 0 - -1 - 33*(-24)/(-882) and ((-2)/16)/((-63)/(-909))?
392
Let r = -671/1110 + 1/222. Suppose 0*u = -2*i + 4*u - 8, 5*u + 1 = -3*i. Calculate the common denominator of r and ((-12)/270)/(i/40).
45
Suppose -3*l - 17 + 47 = 0. Suppose 2*n = 5*v - 2*n - 24, -2*n + l = 3*v. What is the least common multiple of 52 and v?
52
Suppose -2*q + 16 - 6 = 0. Suppose -g + 0*n = -3*n - 7, 5*n = g - 11. Suppose -11 = -q*v - g. What is the least common multiple of 30 and v?
30
Let n = -31 - -36. Let z(s) = s**2 - 3*s - 4. Suppose 33 = 4*h - p, 3*h + 5*p - 19 = -0*p. Calculate the lowest common multiple of h and z(n).
24
Let l(c) = 59*c**2 - 137*c + 40. What is the least common multiple of 66 and l(6)?
4026
Let a be -727*4/20 - (-6)/15. Find the common denominator of (118/(-10))/(1131/a) and 13/3.
39
Let y(n) = -6*n - n**2 - 17 - 43 + 9*n + 74 + 145. What is the least common multiple of y(0) and 15?
795
Let z = -592/7 - -9941/112. Let k = -2/43643 - -1440407/4102442. Calculate the common denominator of k and z.
752
Let l(j) = -312*j**2 + 12*j - 48. Let z be l(-11). Find the common denominator of -31/12 and z/(-783)*(-1)/(-24).
108
Let b = 65577 - 4196827/64. What is the common denominator of 53/344 and b?
2752
Let w(s) = 122*s - 79. Calculate the lowest common multiple of w(2) and 1059.
58245
Let u(h) = -19*h**2 + 5*h - 9. Let s be u(4). Let p = s + 2057/7. What is the common denominator of (2 - 88)*(-4)/8 + 0 and p?
7
Let h = -127 - -237. Calculate the common denominator of 24 + -11 + -10 - 422/60 and ((-10)/(-50))/(48/h).
120
What is the common denominator of (-42)/8 + 12 + 675/(-60) and (-4)/18*246/4?
6
Suppose -3*y + 21 = -5*g, 22 = -4*g + 2*y + 3*y. Let v be g/12 + (-31)/4. Let o(f) = -f - 6. What is the smallest common multiple of o(v) and 1?
2
Suppose 3*u = -p - 7, 2*u - 4*u + p - 8 = 0. Let m = 6947 + -145951/21. Find the common denominator of m and (2/(74 + -2))/(u/260).
189
Let c = -52 - -153. Suppose 2 = 5*t - 13. Suppose 0 = 8*w - t - c. What is the lowest common multiple of 4 and w?
52
Suppose n + 11 = -n - 5*i, -n = -4*i - 1. Let z be (n/((-687)/2))/((-28)/(-2)). Let r = z + -5270/4809. Find the common denominator of r and 17/18.
126
Let h be (6 + 198/(-30))/(2/(-130)). Calculate the common denominator of ((-138)/(-6))/(h/(-1)) and -83/12.
156
Let g(b) = -b**3 - 10*b**2 - 3*b - 6. Let c be g(-10). Let z = 8 - 33. Find the common denominator of z and -4 - ((-387)/c + 5).
8
What is the lowest common multiple of 10/35 + -15*(-3829)/147 and 3?
1173
What is the common denominator of -58/105 and 4 + (-10594)/24*(-6)/(-645)?
9030
Let t = 10211 + -5867. Calculate the least common multiple of t and 12.
4344
Suppose -2150 = -4*x + c, 2*x + 412 = -c + 1496. Calculate the lowest common multiple of x and 21.
1617
Let h be (-4)/18 - 6061/16182. Let b be -2 - (-2 - (-6)/(-62)). Let j = b + h. Find the common denominator of j and 61/8.
8
Let b = -156850 + 6587543/42. Let c = 27491/4380 + -328/73. What is the common denominator of c and b?
420
Let k be 21/10 + 15/(-150). Calculate the lowest common multiple of 9 + k - (-16 + 19) and 10.
40
Let v(s) = -17*s + 226. Calculate the lowest common multiple of 639 and v(8).
6390
Let i(f) = f**2 + 184*f - 15123. Let m = -5 + 14. What is the smallest common multiple of m and i(62)?
387
Let d = 536/15 - 9131/240. Find the common denominator of 113/720 and d.
720
What is the common denominator of (-6)/3 + (-5 - -1) + (-30152)/(-4920) and 47/30?
1230
Suppose 1378 = 1172*a - 1146*a. Calculate the least common multiple of 7 and a.
371
Suppose -1284*f = -1277*f - 8148. Calculate the smallest common multiple of f and 582.
1164
Suppose -5*q + 116 = -q. What is the lowest common multiple of q and (-24)/16*(0 + 140/(-21)) + -1?
261
Let t be -3 + 0 + (-2)/(41160/(-273954)). Let v = 4/3