- 301/4. Find the common denominator of 138/483 - 1/(-28) and j.
28
Suppose 51*x + 6 = 210. Suppose 3 = -5*z + 5*j - 2*j, -z - 1 = -j. Suppose 0 = -x*y - z*y + 132. What is the smallest common multiple of 9 and y?
99
Let u(j) = 4*j**2 + 10*j - 22. Let a be u(3). Suppose 4 = f, f - a = s + 2*f. Let t = 1114 - 3377/3. Calculate the common denominator of s and t.
3
Let i = -184680035/4846578 - 60/73433. Let w = i + 157/11. Find the common denominator of -91/24 and w.
24
Suppose -26 - 10 = 2*s. Let b be s/(5/(-90)*-4). Calculate the common denominator of 3 + (4/6)/(44/b) and 39/16.
176
Let v = -517 - -517. Calculate the least common multiple of (33 + v)*(-1105)/(-255) and 221.
2431
Let o(m) = 5*m + 1380. Calculate the smallest common multiple of 525 and o(-66).
1050
Let t = -262 + 268. What is the common denominator of 93/290 and 1900/(-228) + (-2)/t*1?
870
Let i = 17939/22 + -813. Suppose -4*p - 30 = p. Find the common denominator of i and (69/(-54))/(p/45).
132
Suppose 2*v = 2*h - 88, 0 = 3*v + 2*v - h + 204. Let f = 142 + v. Calculate the lowest common multiple of f and 24.
408
Let j(z) = -22 - 2*z + 2*z - 2*z + 3*z. Let r be j(-18). Let x = r - -47. What is the smallest common multiple of 5 and x?
35
Suppose -2*h - 60 = -4*z + 3*h, 3*z - 45 = 3*h. What is the common denominator of ((-570)/(-42))/((-144)/(-84)) and ((-140)/18)/(10/z)?
12
Let v(j) = j**3 + 4*j**2 + j + 5. Let w be v(-3). What is the smallest common multiple of 176 and 2 - w/3 - 58/(-6)?
176
Let o = -279 + 295. Suppose o*b = 23*b - 448. What is the smallest common multiple of b and 24?
192
Let p = 3917 - 3070. What is the least common multiple of p and 70?
8470
Let j = 189847/68 - 2792. Let n be 2 - (6/9 - 8174/408). Let t = j - n. Calculate the common denominator of -83/30 and t.
30
What is the common denominator of (-181)/24 - (-28 + 23) and 73/360?
360
Let l = -689/15 + 451/10. Suppose 4*a - 23 = -63. What is the common denominator of (39/(-30))/((-16)/a) and l?
48
Let f(c) = -c**2 + 5*c + 16. Let j be f(7). Let o be 1 + j/(-3)*(-25782)/4. Let x = o + -90308/21. Calculate the common denominator of -59/39 and x.
273
What is the common denominator of (1512/(-440))/(-9)*(-8)/3 - -2 and -4/45?
495
What is the smallest common multiple of 321846/395 + 2/15*9 and 12?
816
Let d = -46931/6 + 7821. Find the common denominator of d and 7/1566.
1566
Let j = 228/30414755 - -488256606937/19343784180. Let t be (12*7/2226)/((-84)/20). Let x = t - j. What is the common denominator of x and 25/27?
108
Suppose 5*t - 3*f - 6 = 0, 3*t - 5*f = -4 - 2. Suppose -j - c - 45 = -2*j, t*c = -j + 37. Let o = j + -33. Calculate the smallest common multiple of o and 17.
170
Suppose 12*r + 322 = 19*r. Suppose 11 + 11 = 5*a - 2*o, 5*a + 4*o = r. What is the smallest common multiple of 40 and a?
120
Let u = -1/5181 - 122614/15543. Calculate the common denominator of -85/414 and u.
414
What is the common denominator of -70/681 and 207/1863*(-16 - 1)?
2043
Suppose -7*q - 12 = -10*q. Let m = 47 - 53. Let o(c) = c**3 + 5*c**2 - 9*c + 14. What is the least common multiple of q and o(m)?
32
Suppose u = 2*u - 10. Calculate the least common multiple of u and -2 - (-2)/(0 + 1) - (-455)/65.
70
Let n(y) be the third derivative of -y**4/3 + 59*y**3/3 + 113*y**2. What is the lowest common multiple of n(13) and 2/(-8) - (-17)/4?
28
Suppose 3*g - 146 - 124 = 0. Let u be g/(-4)*8/(-4). What is the least common multiple of (0 + 6/(-10))/((-1)/u) and 9?
27
What is the common denominator of 95/48 and 5/(556200/(-16083)) - 4*5/(-100)?
4944
What is the common denominator of ((-9)/60)/(684/35550*15) and -28/323?
2584
Find the common denominator of (12/(-14))/(109800/12880) and -97/30.
1830
Calculate the common denominator of 113/40 and 14 + 9*216867/(-139545).
17720
Calculate the least common multiple of ((-8)/(64/9510))/((-75)/400) and 22.
69740
Suppose -2*n + 4*g + 174 = 3*g, n - 4*g = 73. Let a = n + -32. Let h = a - 37. What is the least common multiple of 26 and h?
260
Let d = -1773/122 + 2/61. Let p = -30731112345 - -676330320361441/22008. Let t = p - 6/917. Calculate the common denominator of t and d.
24
Let l be (172/215)/((-1)/20). Find the common denominator of (8/16)/(l/(-316)*1) and -121/48.
48
Let g = -190 - -341. Let i = g + -31. Calculate the smallest common multiple of i and (6/(-2))/((-3)/14).
840
Suppose -210840 = 33*m - 12*m. Let l = -351336/35 - m. What is the common denominator of l and 56/55?
385
Let q = -178 - -1379/8. Suppose -571 = w + 2*j, -2*w + 0*j + j = 1167. Calculate the common denominator of (6/4)/((-42)/w) and q.
8
Let d = -168987 + 14194205/84. Let n = -5/42 - d. Calculate the common denominator of -45/92 and n.
92
Let w be 3 - (-1 + 2 - -5 - 5). Suppose 28 = -2*k + 88. Suppose 0 = -4*o + k - w. What is the least common multiple of 4 and o?
28
Suppose 2*a + 206 = -2*k, 2*k + 80 = -4*a - 330. Calculate the common denominator of (-12)/(11 - 8) + a/16 and -18/71.
568
Let l be ((37128/30)/13)/(4/10). Let n = l - -50. Calculate the smallest common multiple of 6 and n.
288
Let m(q) = -10*q**3 - 1. Let x be m(-1). Let p(l) = 97*l - 50*l - 52*l + x. Calculate the lowest common multiple of p(1) and 18.
36
Let z = 419/2 + -205. Find the common denominator of z and (36/(-8) + 1 - (-40)/280) + -2.
14
Suppose -6 = -y + 2. Suppose j - 11 + y = 0. Calculate the lowest common multiple of 2*4 - 4/2 and j.
6
Let t = -1334/11 - -124. Let p be 20/(-60) - (14/3 + 1). Find the common denominator of t and (4/p + 92/120)*-122.
55
Suppose 2644 + 1318 = 14*s. Let d = s + -267. Calculate the lowest common multiple of d and 48.
48
Suppose -268*s + 1815453 = -1354987. What is the lowest common multiple of s and 6?
35490
Let z = -23237 - -13351. Let o be z/(5/(-38)*-8). Let k = o - -9383. What is the common denominator of -37/12 and k?
60
Let p be ((-15876)/(-137) - -1)*25/(-16590). Let t = p + -3/54115. Find the common denominator of -41/25 and t.
1050
Suppose 0 = 5*m + 25*k - 22*k - 1016, -2*k - 1472 = -7*m. Calculate the smallest common multiple of 36 and m.
1872
Find the common denominator of -49/43 and (-2808)/(-1053) + 611/(-198).
8514
Let m = -229 + 113. Let s = m + 113. Find the common denominator of 5/4 and 459/(-144) - s/(-1).
16
Let c = 82/107 + -4255/11556. What is the common denominator of 79/1980 and c?
5940
Let i = -32397/6200 + 164/31. Find the common denominator of -79/400 and i.
400
Let x = 5848 - 152041/26. What is the common denominator of 137/468 and x?
468
Suppose -25 = -4*s - s, 0 = 4*o - 4*s - 76. Suppose 0 = -315*l + 310*l + 210. Calculate the lowest common multiple of o and l.
168
Suppose -5*m + 1 = 2*t + 31, -3*m = t + 18. Let u be -1 - -3 - 4/(m/(-3)). Suppose -k - 1 + 3 = u. Calculate the smallest common multiple of k and 23.
46
Suppose 8*p = 15*p - 140. What is the least common multiple of 121 and p/(-8)*(-154)/5?
847
Let c = -240 + 287. Find the common denominator of ((-10)/(-8))/(c/658) and -2 + 62*6/(-8).
2
Suppose -2*x - 2*p + 360 = -166, 1012 = 4*x - 4*p. Calculate the smallest common multiple of x and 6.
258
Let j = 1545/52 + -123/13. Calculate the common denominator of j and (-1191)/168 + -1 + 7.
56
Let q be 3*(-2 + 25/15). Let h = 527/6 - 475/6. What is the common denominator of h and (q/(-9))/((-4)/(-248)*-2)?
9
Let i be (1 - 1)/(18 + -15). Let x be i + (-4)/(-16) - (-1239231)/108. Let s = x - 11480. Find the common denominator of s and -101/20.
180
Let t be ((-64602)/(-20))/9 + 4. Let y = 353 - t. Find the common denominator of (4/(-10))/((-36)/(-1905)) and y.
30
Calculate the common denominator of (267645/(-21900) - -13) + (-3)/4 and 45/584.
2920
Suppose 10104 = 137*h + 7638. Calculate the smallest common multiple of h and 4/6 - 174/(-9).
180
Suppose 4*d - 108554 = -99866. Calculate the least common multiple of d and 3258.
6516
Let t(x) = -7*x**3 + 2*x**2 + x + 24. Let k(s) = 2*s**3 - 2*s**2 - 1. Let l(h) = 4*k(h) + t(h). What is the lowest common multiple of 8 and l(6)?
104
Calculate the lowest common multiple of ((-5)/20)/(12/792)*220/(-15) and 44.
484
Let p = 887 + -86917/98. Find the common denominator of p and 95/154.
1078
Suppose 11*p = 21*p. Let x be -1 + (-106*4 - p). What is the common denominator of -7/40 and (-2)/3 - (-3 - x/60)?
40
Find the common denominator of ((-89)/(