15. Find the common denominator of b and (-8)/(-2) - (-164)/(-108).
135
Let i be 8/6 - (-70)/(-30). Calculate the common denominator of 43/9 and 222/207 + i + 1.
207
Let b be 60/151850*10/6. Let r = b - -282421/30370. What is the common denominator of (-4)/2 + (-19)/12 and r?
60
Let k = -409/444 + 253/37. What is the common denominator of k and -99/6652?
19956
What is the smallest common multiple of 60 and (-288)/(-27)*(-144)/(-4)?
1920
Let w(i) = 6*i**2 + 40*i - 19. What is the lowest common multiple of w(-8) and (52/8 - 8)/((-2)/100)?
225
What is the common denominator of 37/36 and 2 - (4 - 4764/3312)?
828
Let g(j) = j**2 - 175*j - 350. Calculate the lowest common multiple of 334 and g(-2).
668
Let z(i) = -i**3 + 12*i**2 + 11*i + 21. Let x = 7 + 6. Let h be z(x). Calculate the common denominator of h/1*(-760)/(-450) and 26/3.
9
Let z = 3092 + -2972. Calculate the smallest common multiple of z and 32.
480
Let r = -22650727/42 + 539360. Let v = r - 299/6. Find the common denominator of v and -39/10.
70
Let m = 157/6 + -627/26. Calculate the common denominator of (-184)/6*(-3)/(-54) and m.
351
Calculate the smallest common multiple of 1566 and (-1156854)/(-664) + (-18)/8.
15660
Let d(m) = -3 + 3*m - 2*m**3 + 9*m**2 + 11 + 5 - 1. Let c be d(5). Suppose 2*x = -2*v + 94, v + x = -c*v + 145. What is the common denominator of 18/7 and v?
7
Let h = -932 - -914. Let u = 44628 - 16646281/373. What is the common denominator of u and h?
373
Suppose 2*f - 16 = 4*p, -f = p - 6*p - 11. Let x(t) = 3*t**2 - 7. Let k be x(-6). Let y = k + -92. Calculate the least common multiple of f and y.
18
Suppose 18*m = -148 + 4. Calculate the common denominator of (-105)/(-54) + (-20)/m and (13 + -2)*(-2)/5.
45
Calculate the least common multiple of 732 and 0*(-26)/(-416) + -1 + (1 - -184).
33672
Let k = -14136 + 339371/24. Find the common denominator of (218/16 + -1)*44/(-66) and k.
24
Let u(j) = -7*j**3 - 22*j**2 - j + 2. Let z = 22 - 5. What is the smallest common multiple of z and u(-4)?
102
Let h(f) = f**2 + f - 7. Let p(n) = n**2 - 8. Let y(t) = -7*h(t) + 6*p(t). Let k = 17 + -14. What is the least common multiple of k and y(-6)?
21
Let s = -4255 + 5137. Calculate the lowest common multiple of 980 and s.
8820
Let k = -77 + 87. Let u(f) = -f - 7. What is the least common multiple of u(-8) and (-30)/(-75) + 156/k?
16
Let f = 10 + -7. Suppose 16*p - 11 - 5 = 0. Suppose 2*d = f*d - p. What is the lowest common multiple of d and 11?
11
Let x = 45 - 30. Suppose 9*j = x*j + 84. Calculate the common denominator of (j/(-10))/((-6)/190*22) and 73/12.
132
Suppose 52*s - 512 = -12*s. What is the smallest common multiple of s and 182?
728
Let c(d) = 5*d**2 - 189*d + 853. Suppose -3*r + 19 = 2*b + 1, -r = -4*b + 50. What is the least common multiple of c(5) and b?
132
Suppose -4*a - 34 - 186 = 0. Let q = 93 + a. Calculate the lowest common multiple of q and (1*-4)/(84/36 + -3).
114
What is the common denominator of 33/(-44) - (-189)/136 and -23/680?
680
Let n = -95/6 - -211/30. Let x = 1610 - 418. Let t = x - 5912/5. Find the common denominator of t and n.
5
Suppose l - 163 = -4*n - 109, 5*l - 18 = -2*n. Calculate the least common multiple of n and 2860.
20020
Let v = 53 + 0. Let o = 6 - 3. Suppose d + 4*d - 55 = o*t, -2*d - 5*t + v = 0. What is the smallest common multiple of d and 4?
28
Calculate the common denominator of -28 and 888/(-8320) + (-4)/(-10).
208
Let m = -1211 + 19385/16. What is the common denominator of 1185/(-24)*3/60 and m?
32
Suppose 0 = 144*i - 148*i - 6172. Let s = 37043/24 + i. Find the common denominator of -101/12 and s.
24
Let m(i) = i**2 - 8*i + 5. Let z(w) = -w + 2. Let y(x) = m(x) + 3*z(x). What is the least common multiple of 10 and y(10)?
10
Let n(d) = -2*d - 3. Let o be n(-3). Suppose -o*a + 126 = 6*a. Find the common denominator of 1/6 and (35/a)/((-32)/(-6)).
96
Suppose 0 = d - 4*h - 3, -5*d = -154*h + 150*h - 15. Let k be (3/(-2))/(6/88). Let g = 52 + k. Calculate the smallest common multiple of g and d.
30
Let w(f) = f**2 + 3*f - 3. What is the smallest common multiple of w(-6) and -1 + 26 - (60/10 - (-3)/3)?
90
Let r = 1121 - 24625/22. Calculate the common denominator of r and 103/6906.
75966
Let p = -2477/1356 - 3/452. Find the common denominator of -91/512 and p.
1536
Let o(q) = 7*q + 6. Let a be o(2). What is the common denominator of (-318)/144*4*6/a and -75/38?
380
Let f = -71 + 71. Suppose 20 = 4*k, 0 = 3*l - k - f*k + 23. What is the smallest common multiple of 13 and (1 + -2 + -10)*l/6?
143
Let t = 148674315081 - 3403155072734399/22890. Let j = 97079 - 370356389/3815. Let h = t - j. Find the common denominator of h and -127/12.
12
Suppose 5*s + 5*i = 97 - 72, 0 = 3*i + 6. What is the least common multiple of 24588 and s?
172116
Let w(p) = p**3 + 5*p**2 + 7*p + 6. Let j be (3 - 5) + (1 - -2) - 5. Let x be w(j). What is the smallest common multiple of (1 - -2) + x*10/(-15) and 1?
7
Calculate the common denominator of (69/(-4)*16/(-1572))/36 and -71/198.
51876
Suppose 0 = 2*h + x - 87, 2*x = -3*h + 188 - 59. What is the least common multiple of 195 and h?
585
Let d(s) = 14*s - 356. Calculate the smallest common multiple of 374 and d(26).
1496
Let g = -10675 - -10735. Calculate the smallest common multiple of 624 and g.
3120
Let v(t) = 87*t**2 - 1382*t + 38. Calculate the smallest common multiple of 1122 and v(16).
3366
Let i be (((-24)/237202)/(-3))/((-198)/(-77)). Let p = i - -229187951/762435. Let u = p - 299. What is the common denominator of u and -27/16?
80
Let t(i) = -4*i**2 - 43*i + 5*i**2 + 1 + 41*i. Let c be t(4). Calculate the lowest common multiple of (6 + (-72)/c)/(1/(-8)) and 40.
80
Let l be 3*641*1*(-55)/66. Let n = 1637 + l. Let q = 1/218 - 765/436. What is the common denominator of q and n?
4
Let s(p) = 6*p + 4. Let c be s(-3). Find the common denominator of (6/c)/((-71)/34 - -2) and (-2 - 26/(-16))/((-18)/(-420)).
28
Let q(g) = 74*g - 43. Calculate the smallest common multiple of 23 and q(4).
253
Let m(u) = -u**3 - 26*u**2 - 2*u - 50. Let x be m(-26). Suppose 4*w = b - 111, -3*w - 230 = -x*b + w. What is the least common multiple of b and 102?
714
Let m = 14753/6 + -2446. Find the common denominator of 3284/6600 + (-22)/33 and m.
1650
Let k be (((-300)/8)/(-5))/(2/12988). Let l be -5 + ((-243515)/k)/(-1). Let i = 84428/29223 + l. What is the common denominator of -91/2 and i?
18
Let h = -1582368585637/2452962 - -449/408827. Let q = h + 654141. Let m = 9036 - q. What is the common denominator of -9/4 and m?
12
Let g = -5816601727/2898 + 2007109. Find the common denominator of 61/42 and g.
2898
Let j = 13307 + -13305. Calculate the smallest common multiple of j and 600.
600
Let s = 1171922 - 11736319/10. Let m = 1704 + s. Calculate the common denominator of m and 1*180/(-80) + (-466)/(-192).
480
Suppose y - 943 = -5103. Let o = -25105/6 - y. What is the common denominator of o and 103/658?
1974
Let q = 29/81 - -203/162. Let h(b) = -b**3 - 7*b**2 + 19*b. Let s be h(-8). Find the common denominator of q and 328/(-42)*(-33)/s.
126
Let v = 5401 + -43293/8. What is the common denominator of -85/3602 and v?
14408
Let s(j) = j**3 - 21*j**2 + 57*j - 17. Let r be s(19). Let h = r + -333. What is the least common multiple of h and 157?
1727
Suppose 0 = -3*f + 3*q + 2259, 76*q - 2291 = -3*f + 75*q. Calculate the lowest common multiple of f and 8.
6088
Suppose 82*c = -12*c + 1907 + 537. Suppose 2*a = 6 + 98. Calculate the lowest common multiple of a and c.
52
Let j be (-34331)/(-4776) + -3 - 4. Let w = 4/199 + j. Let r = w - -65/24. What is the common denominator of 71/4 and r?
12
Suppose u = k + 4*u - 19, u - 49 = -3*k. Find the common denominator of -21/4 and 516/k*2/(-24).
16
Let z be (-10)/50 + (-6)/(-5). Let y be (39 + (-1)/z)/(-51). Let u = y - -23/510. What is the common denominator of u and -61/6?
30
Let v(o) = -4*o + 35. Calculate the smallest common multiple of v(2) and 85 - (14 + -6) - 5.
216
Let a = 164/3055 - -1/6110. What is the common denominator of 59/286 and a?
1430
Let o = -8405741347/5758 - -1459837. What is the common denominator of o and -63/8?
23032
Let w = 11391 + -11239. What is the lowest common multiple of w and 6?
456
Suppose 3*a + 5*t = 103, 167 = 3*a + t + 60. Let d(w) = 8*w + 8. Calculate the lowest 