8. Find the common denominator of 31/36 and o.
576
Let w(x) = -2*x - 59. Let a be w(-33). Calculate the lowest common multiple of 70/(-4)*(12/a)/(-3) and 3/6*-2 + 10.
90
Let w be (-112765)/(-25) - (-3)/6. Let j = -4507 + w. Calculate the common denominator of -37/90 and j.
90
Let m(q) = -22*q + 2424. What is the smallest common multiple of m(-40) and 28?
3304
Suppose -268640 = -119*n - 173*n. Calculate the least common multiple of 230 and n.
920
Let l = 212843/91036 + 6/2069. Let c = 3836/5 + -779. What is the common denominator of l and c?
220
Let g(d) = 2*d**2 + 8*d - 4. Calculate the least common multiple of (-8)/12 - (2288/(-12) - 0) and g(-7).
190
Let h = -65 - -71. Let b = -55 + 151. What is the smallest common multiple of b and h?
96
Let u(b) = -18*b**2 + 2*b - 1. Let s be u(1). Let h be 13 + s - (-183 + -1). Suppose -13*q + h = -4*q. What is the least common multiple of q and 58?
580
Let p(y) = -2*y - 6. Let c be p(-5). Suppose c*w - 450 = -2*n, 2*n + 223 = 3*n + 3*w. Find the common denominator of (-6 - 104/(-18)) + n/342 and 69/2.
38
Let s = 26 - 84. What is the common denominator of ((-3)/(144/(-14)) + (-106)/424)*-49 and (-2)/(-9) + s/36?
72
Let t be (3 - 6) + 169175/30. Suppose 37*r - 186450 = 4*r. Let p = t - r. Find the common denominator of 19/2 and p.
6
Let f = 11749/10640 + -82/95. Let s = 2351/112 - f. What is the common denominator of (2616/(-84))/((-40)/14) and s?
20
Let n = 5507 + -1625. Calculate the smallest common multiple of n and 11.
42702
Suppose -27*n + 171 = 10*n - 18*n. Calculate the lowest common multiple of n and 149.
1341
Calculate the common denominator of -35/638 and 49/(-132) + (-160)/(-320).
3828
Suppose -3*i = 3*q - 1389, 14 = -i + 13. What is the smallest common multiple of q and 928?
928
Suppose -10*i + 2*i - 4652 = -5052. Calculate the least common multiple of i and 330.
1650
What is the lowest common multiple of 33 and 90/(-14)*462/(-9)?
330
Suppose -2 = -3*j + m, 4*m = 5*j - 0*m + 6. Suppose 121 = j*c + 43. Suppose 11 = -0*y + y. What is the lowest common multiple of y and c?
429
Let z = -26 - -44. Let c be 4/(-1)*-1*(-85)/(-20). Let n = z - c. Calculate the lowest common multiple of 6 and n.
6
Suppose 0 = 66*b - 0*b - 51612. What is the smallest common multiple of b and 2?
782
Let q(c) = 21*c - 40. Let d be q(2). Suppose 4*b + d*x - 210 = 0, 0*x = 3*b - x - 145. What is the least common multiple of 35 and b?
350
Suppose -r - 3*c - 22 = 0, 10*r + 33 = 8*r + 5*c. Let o(t) = -t**2 - 23*t - 32. Calculate the lowest common multiple of 3 and o(r).
132
Let m = 954 + -294. Suppose 5*q - 10*q = -m. Calculate the lowest common multiple of 18 and q.
396
Let q = 15713/906 - 3/302. Let m = 29/12 + q. Let v = -139495/27444 + -1/2287. Calculate the common denominator of v and m.
12
Let w be (6*(4 - 5))/(-3). Calculate the common denominator of (-66)/(-144) - 2*w/(-16) and -7/8.
24
Let w = 932636454/2035 - 458298. What is the common denominator of 23/1295 and w?
14245
Let v(s) = 42*s**2 + 6*s - 4. Suppose -38*r + 44*r - 6 = 0. Calculate the smallest common multiple of 32 and v(r).
352
What is the least common multiple of 9764 and (18/(-42))/((-22)/308)?
29292
Calculate the common denominator of -15/124 and (10/95 + 296/1520)*290/84.
868
Let p be 1552/(-18) + 4/18. Let x be p*(3 + -1)/(-4) - -2. Suppose y - 60 = -3*y - 4*m, -x = -4*y - m. Calculate the lowest common multiple of 6 and y.
30
What is the common denominator of -17*(-6)/(-10)*(-95)/(-47823) and 51/2?
1678
Suppose -2*u + 2*f = 10, 4*u + u + 5*f + 25 = 0. Calculate the common denominator of (-2)/u - 7/30 and -169 - -149 - 988/(-44).
66
Let d(r) = 3*r**2 + 108*r - 333. Calculate the lowest common multiple of 108 and d(-39).
108
Let g = -49696159/968 + 51339. Find the common denominator of -61/1452 and g.
2904
Let z = -572 + 576. Suppose 4 = -2*g + z*g. What is the lowest common multiple of g and 2?
2
Find the common denominator of 82/1965 and (18/15)/(1/(-5)) + 3877/655.
1965
Let m = -250/273 - -605281/676767. What is the common denominator of 17/37 and m?
2479
Let j = 25 - 2. Suppose 392*n = 411*n - 19. What is the least common multiple of j and n?
23
Let v = -52 + 56. Suppose 0 = 4*z - 2*b - 10, -4*z + v = 5*b + 1. Calculate the common denominator of 65/270*2/(z/(-15)) and -57/10.
90
Let f be (-4)/(30/(-5) + 5) + -74. Find the common denominator of (-25)/20*(1488/f)/4 and 79/28.
28
Suppose 0 = -3*r + 3*b + 561, 27*r + 3*b + 379 = 29*r. Calculate the common denominator of 107/12 and (-73)/6*13/r.
84
Let v(j) = 6*j - 21. Let s be v(4). Suppose -s*q = -2 - 7, 0 = 2*u - 4*q - 4. What is the smallest common multiple of u and 15/20 - (-1)/4?
8
Suppose 7*g - 895 = -55. Calculate the common denominator of (27/g)/(820/(-175) + 4) and -41/36.
576
Let p be 2604/(-12) - (-3 - (0 - 6)). Find the common denominator of ((-154)/p)/(1/(-18)) and -103/315.
315
Calculate the common denominator of -57/100 and (-8*(-3)/126)/(100/(-114)).
700
Find the common denominator of 9*436/(-6864) + (-30)/(-55) and 25/1287.
5148
Suppose 28*x = 13*x - 165. What is the smallest common multiple of 18 and 2/(-11) + (-310)/x?
252
Suppose g - 9*g = 40. Let s be g/(-4)*8/3 + -1. Let y = -83/3 + s. Find the common denominator of 97/12 and y.
12
Let p(a) = 3*a**3 + 74*a**2 + 44*a - 22. Let y be p(-24). Suppose y*q - 83*q = -180. Calculate the lowest common multiple of q and 694.
6940
Let d be (-1)/108*2/130*-797613. Let u = d - 2283/20. Calculate the common denominator of -151/30 and u.
1170
Let c = -91145990/747 + 122016. Find the common denominator of c and -4/27.
2241
Suppose -k - 134391 = -4*v, 3*v + 2*k = -2*k + 100817. Let o = v - 1814899/54. Let i = -23/54 + o. What is the common denominator of i and 37/3?
3
Let z = 436 - 250. Let i = -174 + z. What is the least common multiple of i and 36?
36
Suppose 0 = 3*x + 6, -o + 2*x = 3*o - 20. Suppose 11 = -o*a + 83. What is the smallest common multiple of 12 and a?
36
Let d(b) = b**3 - 6*b**2 + 5*b + 6. Let l be d(5). Calculate the common denominator of 1/l + 1630/(-300) and ((-70)/420)/((-6)/188).
45
Suppose 3*t + 2*t = 10, 3*h = 5*t + 350. Suppose -h = -3*i - i. What is the least common multiple of i and (9/15)/((-296)/100 + 3)?
30
Let l(v) = -43*v**2 + 2*v - 9. Let y be l(2). What is the least common multiple of 6/(-16) - (-3 + y/24) and 139?
1390
Let l be (-3)/(-12) - ((-69477)/28)/1. Let x = l + -2486. What is the common denominator of 33/103 and x?
721
Suppose -1406 = -105*c + 3086 + 1808. What is the least common multiple of 226 and c?
6780
Suppose 0 = 83*q - 1035 + 39. What is the lowest common multiple of q and 8?
24
Let g = 74482 - 3275127/44. Let u = g - 191/4. Calculate the common denominator of u and -115/18.
198
Let s = -1119064286/5 - -2638753563517/11790. Let d = -3/655 + s. Let g = -8/181 - -8004/905. Find the common denominator of d and g.
90
What is the common denominator of (((-18)/4)/9)/1 and (3 - 17)/(40/(-3))?
20
Let a(c) = c**2 - 38*c - 164. Let q be a(42). Suppose -4*o - v = -119, q*v = -4*o - 30 + 146. Let h = 42 - 0. Calculate the lowest common multiple of o and h.
210
Suppose -3*j + 44 - 41 = 0. Calculate the common denominator of 78/(-10) + (-3)/6 and ((-1)/10)/(16/140*j).
40
Let l(f) = 301*f - 592. Let m(q) = -60*q + 118. Let i(p) = -2*l(p) - 11*m(p). Calculate the least common multiple of 16 and i(5).
176
Let c(j) = -109*j**3 - j**2 - 16*j - 19. Calculate the least common multiple of c(-1) and 10.
210
Let m be 1767159/(-184)*-21*(-4)/(-90). Let c = m + -8967. Calculate the common denominator of c and 652/(-264) + 1/3.
220
Let b be (-68 - 2)*(3 + (-2559)/(-7)). Let w be (-146622)/b - (5 - 1). Let y = 106/215 - w. Calculate the common denominator of 59/12 and y.
300
Let m(y) = 5*y - 16. Let v be m(7). Let l = -7 - v. Calculate the lowest common multiple of (l/(-8) + -2)/((-2)/(-24)) and 12.
60
Let i = -2444 - -34199/14. Let z = 4460869 + -89310209/20. Let v = 4643 + z. What is the common denominator of v and i?
140
Let n = 281033 - 281024. Suppose 5*w = -210 - 50. Let j = w - -121. What is the least common multiple of j and n?
207
Let n = -4 + 20. Calculate the lowest common multiple of n and ((-24)/48*-3)/(6/488).
976
Let v be -7 - -11 - (0 + 33). Let r = v + -1. What is the common denominator of ((-340)/60)/((-2