 -28. What is the common denominator of z + (735/36)/5 and 22/27?
108
Calculate the common denominator of -4 + 23/(2898/680) and 23/70.
630
Let a = -94177 + 1724192513/18308. Let d = -47252963/91540 - a. Let m = d + 512. What is the common denominator of -19/48 and m?
240
Let i = -2018 + 5880. What is the lowest common multiple of 11 and i?
42482
Let p = 94 - 55. Suppose p - 6 = w. Let z(j) = -5*j. What is the least common multiple of z(-6) and w?
330
Let k be 2/((-2)/1) + 2 + 8. Suppose -4*y + k*y = 20. What is the common denominator of (-776)/(-48)*(-2)/y and 63/22?
132
Let h = 8/4007 - 162592/1158023. Find the common denominator of -157/408 and h.
6936
Suppose 0 = -6*h + 3*h + 54. Suppose -2*y + h = -y. What is the smallest common multiple of (3/1 + -4)/(2*(-5)/270) and y?
54
Suppose -3*c + 97 = 4*h, -2*c + 20 = h - 38. Let p = c + -27. Calculate the smallest common multiple of (5/2 - p) + 72/48 and 9.
36
Let d = -117/17 + 2946/391. Let v(m) = 0*m**2 - 57*m - 3 + 52*m - m**2. Find the common denominator of v(4) and d.
23
Let i(k) = -73*k - 491. Suppose -34*b + 35*b = -2*y - 7, -5*b + 5*y = 35. What is the lowest common multiple of i(b) and 88?
440
Let b be (-112)/35 + (-1)/(-5) + 0. Find the common denominator of (-4)/(-6) - (-169)/12 and (-73)/20 + 6/b.
20
Let x = -2778 + 3284. What is the least common multiple of 176 and x?
4048
Let i = -28 + 68. Let u = -66 - -69. What is the common denominator of 56/5 and (-119)/i + u/12?
40
Let x = -477 + 973. Let f = x + -438. Calculate the least common multiple of f and 1.
58
Let j = 538633117 + -32320014289/60. Let s = j + 33789. What is the common denominator of s and -161/66?
660
Find the common denominator of (14/16)/((-33040)/4928) and 73/30.
1770
Find the common denominator of 13 + -3*128569/29610 and -77/2350.
7050
Let c = 1/693 + -54757/6930. Find the common denominator of c and -109/234.
1170
Calculate the least common multiple of 400 and ((-165)/363)/(10/(-55)) - (-630)/4.
800
Let h = -9239429/150 - -61597. Calculate the common denominator of h and -83/30.
150
Let c = 318 + -307. Suppose 0 = c*r - 533 + 467. Calculate the lowest common multiple of (-130)/(-8) + (-2)/8 and r.
48
Let u(o) = -o**3 + 4*o**2 + 6*o + 2. Let v(w) = 116*w**3 - 2*w**2 - 3. Let h be v(2). Suppose 23*s = h - 158. Calculate the least common multiple of s and u(5).
231
Let k = -7205 - -7235. Suppose 5*q = 9*q + 272. Calculate the smallest common multiple of (1*q + -1)*-1 and k.
690
Let j = -141/418 - 115/38. Let c = 2/1271 - -67349/8897. Find the common denominator of c and j.
77
Let m be (3 + 7/(-3))*3528/(-4). Let n = 595 + m. Calculate the lowest common multiple of n and 296.
2072
Let r = 146 + -140. What is the common denominator of (6 - 588/27)/((-4)/r) and 22/5?
15
Suppose -4*c - 3*t + 124 = -163, 3*t - 219 = -3*c. Calculate the lowest common multiple of 4 and c.
68
Let p = -43433527/6420 - -20296/3. Find the common denominator of 87/856 and p.
4280
Suppose 4*x + 0*u = -2*u + 78, -u + 3 = 0. Calculate the common denominator of (3/(-36*1))/(((-165)/2085)/11) and 449/10 + x/30.
12
Let i be -10*3/(1155/(-1652)). Let m = i - 3217/66. What is the common denominator of (-2)/3*402/152 and m?
114
Let l(j) = -9*j - 6. Suppose -3*m = -5*m + m. Suppose 0 = 2*n - h + 2, m*n - h = -4*n - 6. What is the least common multiple of 6 and l(n)?
12
Let i = -4 - -4. What is the common denominator of (-37)/(14/28 - 5/(-2)) and -2 - ((-86)/21 - i)?
21
Let p be 0 + 39 - (-3 + 2). Let r = -48 - p. What is the least common multiple of 5 and r/(-14) - (-2)/(-7)?
30
Let d(w) = w**3 - 10*w - 3. Let r be d(3). Let f = 8334/11 + -757. Find the common denominator of f and ((-114)/(-304))/(r/388).
44
Suppose -i - 54 = -26. Calculate the smallest common multiple of (48/i)/((-4)/42) and 20.
180
Let g = -1738 + -2273. Let k = -40073/10 - g. Let q = 4553 - 54613/12. Calculate the common denominator of k and q.
60
Let s = 9973/4 - 2802415/1124. Let q = -86365/12 - -7192. Calculate the common denominator of s and q.
3372
Let w = -20 - -76. Find the common denominator of -62/9 and (-5 - -3) + (-92)/w.
126
Let u = -393 - -403. Calculate the common denominator of (8/u)/((-12)/260) + 2 and 4/14 - (-1366)/(-28).
6
Suppose -81*b - 3420 = -100*b. Calculate the smallest common multiple of b and 80.
720
Let b = 1019 - 1008. Calculate the least common multiple of b and 2191.
24101
Suppose 4*u + 64 = -4*i + 540, 5*i + u - 595 = 0. Let s = -69 + i. Suppose -s*g = -53*g + 90. What is the lowest common multiple of g and 15?
30
Suppose t - 5*g + 1 = 0, 5*g = 5*t - 4 - 11. Calculate the common denominator of (8 + (-388)/48)/(1/(-116)) and (688/(-50))/t + 2.
75
Let t(u) = -2*u**3 - 36*u**2 - 3*u + 19. Let x be t(-18). What is the lowest common multiple of (x - 5)*3/4 and 9?
153
Let m(a) = -a**3 - 8*a**2 - 15*a - 15. Calculate the smallest common multiple of 80 and m(-6).
240
Suppose 0 = -c + y + 722, -c + 2*c = -4*y + 722. What is the lowest common multiple of 18 and c?
6498
Let b be 2121/(-6) + 2 + -7. Let c = b + 3473/10. What is the common denominator of 58/117 and c?
585
Let f = -9/479 - -60091/11496. Calculate the common denominator of f and 403/120 - 16/12.
120
Let t = 9007 + -135034/15. Calculate the common denominator of t and 123/40*(-8)/12.
60
Let z(t) = t**2 - 4*t. Let c be z(-4). Let v = -31 + c. Suppose -3*r = -13 + v. What is the lowest common multiple of r and 6?
12
What is the common denominator of 65/3 and (-2)/(-125)*5840/438?
75
Let s(q) = 2*q + 29. Let p be s(-7). Let f = 147 - p. What is the lowest common multiple of 1 and f?
132
Suppose -b + 308 = 3*b + 3*r, -4*b = -3*r - 308. Suppose -18*n + 32*n = 980. What is the smallest common multiple of n and b?
770
Calculate the common denominator of -55/798 and -9 + (21850/40)/23.
1596
Let v = -16389980365429/15376 - -1065945655. Let x = 6/961 + v. Calculate the common denominator of x and 35/3.
48
Let f = 3278437/75777816 - -3/76312. What is the common denominator of -47/168 and f?
55608
Let q be (80/(-5480))/(151/3 + -1). Let k = 126491/790764 - q. What is the common denominator of k and 93/4?
156
Let b(q) = -122*q**2 + 4*q - 3. Let u be b(-4). Find the common denominator of -65/8 and u/1020 + 4/8*4.
680
Let p = 605 + -63. Let x = 199327/60669 - -2/8667. What is the common denominator of p/(-40) - 2/10 and x?
28
Suppose -30*n + 5*z = -28*n - 52, 2*z = 3*n - 67. Suppose -m = -2*a + 3*m + 132, 3*a + m = 163. Calculate the least common multiple of n and a.
168
Suppose 0 = 16*v - 13*v + 99. What is the common denominator of (-1)/((-13)/(-10) + 0) and (-14 + 9)*v/27?
117
Let x(b) = -24*b**3 + 7*b**2 - 21*b - 73. Calculate the smallest common multiple of x(-4) and 7.
1659
Let v = 374702 - 9560896235/25516. Let o = -503851/765480 + v. Calculate the common denominator of o and 39/110.
1320
Suppose -1895 = -38*b + 2187 + 31790. Calculate the lowest common multiple of 10 and b.
4720
Let f = -280 - 1113. Find the common denominator of -17/10 and 8 - (f/(-910) + 7).
130
Suppose -3*m + 28 = s, 0*m + 5*s + 47 = 2*m. Let i(b) = b**3 - 11*b**2 - 4*b + 49. Calculate the least common multiple of 3/(-1*3/(-34)) and i(m).
170
Suppose -t - 7 + 19 = 0. Let m(i) = 108*i + 3. Let k be m(-3). What is the lowest common multiple of t and 2/6 + k/(-9)?
36
Suppose -36*b + 11*b + 473 - 223 = 0. What is the least common multiple of b and 1042?
5210
Let s(z) = 5 + 4*z**2 - 34*z + 5*z - 13*z - 7*z. Let d be s(12). Calculate the common denominator of 25/12 and (412/240)/(d/(-21)).
60
Let c = -74 + 76. Let g be (c - 28/8) + (-6)/(-4). What is the least common multiple of g/(-2) + (-5)/((-15)/9) and 7?
21
Let l = -15047 + 15055. Calculate the smallest common multiple of l and (2/(-3))/(6/(-531)).
472
Suppose -w = -4*w + 3*z + 63, -4*w + 5*z = -84. Suppose 5*o = 2*o - 48. Calculate the lowest common multiple of o/4 - (3 - 22) and w.
105
Let o be (4 - 1559)/(-5) + -2. Let n = o - 288. Calculate the least common multiple of 90 and n.
630
Calculate the common denominator of 47/1290 and 1616/(-101) + (-225)/(-24).
5160
Calculate the common denominator of (-64 - 11001/(-171))*2/(-26)*-57 and -131/18.
234
Let c = 313769/26 + -12072. Calculate the common denominator of c and 11344/2080 + 4/(-26).
130
Let z = 75861 - 63723221/840. Calculate t