 31. Calculate the common denominator of -50 and (-16)/t - -431*2/84.
6
Suppose m - 115 = -46. What is the least common multiple of m and 9?
207
Let u = -1110 + 1120. What is the least common multiple of 38 and u?
190
Let u = 23269/8 + -2901. What is the common denominator of u and 1174/308 - 2/(-14)?
88
Let a = -99287 - -194121/2. Let o = a + 2178. Find the common denominator of -35/12 and o.
12
Calculate the least common multiple of 14 + (8/3)/((-10)/(-15)) and 94.
846
Calculate the smallest common multiple of 22 and (-1)/(2*1/(-428)).
2354
Let f = -24325/57 + 1273/3. Calculate the common denominator of -14/17 and f.
323
Suppose w + 1 - 3 = 0. Let t be (-1)/w + (-106)/(-4). Let i = t + -17. What is the least common multiple of i and 4?
36
What is the common denominator of 83/110 and (-26)/((-312)/60) - 857/165?
330
Let r = 8 + -5. Suppose -b + r*l = -l - 32, 2*b + 3*l = 31. Let o = 31 - b. What is the least common multiple of o and 7?
77
Suppose 3*t + 14 = n - 16, -20 = 2*t - 3*n. Calculate the common denominator of (1/6)/((-9)/39) and (-985)/(-850)*1 + (-4)/t.
306
Suppose 0 = -3*w - w + 12. Suppose -3*l + 2 + 1 = 0. Calculate the lowest common multiple of w and l.
3
Let o(k) = -7*k - 65. Let x be o(-27). What is the common denominator of 41/9 and ((-7)/(28/(-9)))/(6/x)?
18
Suppose -44 + 204 = 8*l. Calculate the least common multiple of 192 and l.
960
Let u be 1/(-1*(2 - 1)) - 79. What is the common denominator of -49/3 and 178/(-20) + (u/25)/8?
30
Suppose x - 8 = 3*u + 2, 3*x + 4*u - 82 = 0. Let g(v) = 2*v + 6. Let w = -16 - -23. Calculate the least common multiple of x and g(w).
220
Suppose 2*v + 5*g = -11, 2*g - 19 = -2*v + 7*g. Suppose 0 = -42*q + 17*q + 100. Calculate the least common multiple of q and (-1 - v)/(3/(-8)).
8
Let n(b) = b**3 + 5*b**2 - 14*b + 8. Let x be 24/(-6) + -2 + -1. What is the lowest common multiple of 8 and n(x)?
8
Let s = 345929/222154 + -560/401. Calculate the common denominator of s and 31/2.
554
Suppose -140 = -5*w + 4*z, -3*w = -w + 3*z - 33. What is the smallest common multiple of w and 144?
144
Let j = -203 + 211. Calculate the smallest common multiple of 17 and j.
136
Let y(u) = 2*u - 3. Let f be y(3). Suppose 2*w - 110 = -f*w. Suppose 4*s = -3*h + 20, -4*h + s = -31 - 21. What is the smallest common multiple of w and h?
132
Let j = 480 + -9617/20. Let c be 13/(-5) + 22/(-55) + -3. Calculate the common denominator of j and 23/c + 4/(-6).
20
Let b(z) = z**2 - 5*z - 40. Calculate the lowest common multiple of b(-10) and 30.
330
Let j = 268/11 + -25. What is the common denominator of 19/23 and j?
253
Let v = 4471 - 76036/17. Find the common denominator of 16/35 and v.
595
Let l = 951/328 + -42/41. Let g(i) = -i**3 - 11*i**2 + 9*i. Let o be g(-14). Calculate the common denominator of l and 2*1 + o/(-119).
136
Suppose 1 + 29 = -5*h. Let y be 16/(-6)*2*h. Suppose 0 = -5*i + 6*b - 2*b + y, i - 4*b = 0. What is the smallest common multiple of 10 and i?
40
Let i be -3 - 5/((-105)/35139). Let b = -888893/532 + i. What is the common denominator of -79/6 and b?
228
Suppose -2*a - 56 = 2*a. Let c = -5 - a. Calculate the smallest common multiple of c and 25 + (-4 - -3 - 5).
171
What is the least common multiple of (140/((-13)/((-39)/2)))/2 and 5?
105
Find the common denominator of -37/2 and 1/(-10) + 58178/8080 + -7.
808
Suppose 2*m = 5 + 11. Let y(g) = -2*g**2 + 25*g - 39. Let v be y(11). What is the common denominator of 71/22 and (v/m)/((-6)/108)?
22
Let l be 1 + (-2 - (-25)/(-36)). Let w = l + -427/72. What is the common denominator of 7/25 and w?
200
Let t = -600 + 2097. Let y = t + -7521/5. Let f(l) = 18*l - 1. Find the common denominator of f(-2) and y.
5
Let m = -37 + 86. What is the least common multiple of 21 and m?
147
Let y(h) = -2*h**3 + 1. Let q be y(-1). What is the common denominator of ((-46)/(-18))/(0 - -1) and 3 - (q + 50/15)?
9
Suppose 7*o = 11*o + 120. Calculate the lowest common multiple of (90/(-75))/(2/o) and 14.
126
Let z(w) = -w**2 + 2*w + 2. Let h be z(4). Let a(o) = o**2 - 2*o. Calculate the common denominator of 1 + 3/(60/(-86)) and a(h).
10
Let b = 295 - 250. Calculate the least common multiple of 45 and b.
45
Let c = -569 + 6296/11. Let a(q) = -22*q + 139. Find the common denominator of c and a(8).
11
Suppose 5*f + 8 = -7. Let g be 6 + -33*(4 - 6). Find the common denominator of -73/8 and (f/4)/(g/(-16)).
24
Let b = -54/31 - -801/620. Calculate the common denominator of (-214)/7*105/300 and b.
20
Calculate the smallest common multiple of ((-11)/2)/(67/(-938)) and 7.
77
Suppose -6 = -3*n + 24. Calculate the lowest common multiple of 2 and n.
10
Let p(c) = 23*c + 55. Suppose 4*x = 113 - 93. Calculate the least common multiple of 12 and p(x).
1020
Let r(z) be the second derivative of -z**3/6 + 5*z. Calculate the lowest common multiple of 9 and r(-12).
36
Let n = -59 - -59. Calculate the lowest common multiple of 18/16 - n - 22/176 and 44.
44
Suppose -5*z + 5 = 0, 3*d - 3*z - 8 = z. Let y = 3/20 + -289/60. What is the common denominator of y and (2/d)/(14/(-124))?
21
Let p = 516683/18 - 28713. What is the common denominator of p and 79/42?
126
Let a = 687/238 + -1/34. Find the common denominator of a and 55/152.
1064
What is the common denominator of (-33)/(-99) + (274/792 - 1) and -127/6?
396
Suppose -33 + 49 = 4*q. What is the common denominator of -73/3 and 4*q/48 - (-17)/(-21)?
21
Let z(n) = -n - 23. Let h be z(-15). Let f = h - -26. What is the lowest common multiple of f and 20?
180
Suppose -5*n + 42 = 2*m, -7*n = 5*m - 6*n - 82. Let w = 23 + -9. What is the lowest common multiple of m and w?
112
Let s = -5666678/105 + 53969. Find the common denominator of 34/35 and s.
105
Let c = 237 + -204. Calculate the smallest common multiple of c and 234.
2574
Find the common denominator of -15/32 and 122/6*-1*2/(-4).
96
Let s = 31 + -111. What is the common denominator of 73/18 and (-22)/s*(-4 - 2)?
180
Let f(o) = o**3 - 2*o**2 - 2*o. Let k be f(3). Suppose 0*c - 3 = k*c. Find the common denominator of 0 + c + 177/(-66) and -61/8.
88
Let u = -120/47 - -5921/2632. Calculate the common denominator of -113/72 and u.
504
Let f = -104 + 108. Let m = -6 + 19. Let k = m + -1. Calculate the least common multiple of f and k.
12
Let u = 109202 - 11793677/108. Calculate the common denominator of u and -101/36.
108
Let m(t) be the third derivative of t**4/24 - 37*t**3/6 - t**2. Suppose -17*r = -27*r + 110. What is the common denominator of m(r) and 19?
1
Let x = -326 + 374. Calculate the least common multiple of x and 96.
96
Let b = -55 - -27. What is the common denominator of -79/6 and -1 + 1 + (20/b - -1)?
42
Calculate the common denominator of (-2)/((-792)/494) - (-109)/(-218) and -44/27.
297
Suppose 0 = -3*m - 4*x + 51, -2*x = 3*m + x - 54. What is the lowest common multiple of 8 and (-172)/(-14) + ((-12)/m)/2?
24
Let v = 4561 - 3237. Let s = -16001/12 + v. Let f = -16 + 47/8. Find the common denominator of s and f.
24
What is the least common multiple of 56 and ((-212)/159)/((-2)/12)?
56
Suppose -5*g = 0, -2*g - 2*g = -4*r + 36. What is the smallest common multiple of r and 2?
18
Let r = 287335/123 + -2336. What is the common denominator of r and 40/9?
369
Let a = -439 + 509. Calculate the least common multiple of 6 and a.
210
Find the common denominator of 57/110 and (-11 - -7) + (-69)/(-40).
440
Let n(o) = -o**3 - 39*o**2 + 37*o - 102. What is the lowest common multiple of 9 and n(-40)?
18
Suppose 3*x - 2*l = 1588 - 490, -1104 = -3*x + 4*l. What is the lowest common multiple of x and 12?
1092
Suppose 15*w - 14*w - 44 = 0. Suppose -13*u + 14*u - w = 0. Calculate the smallest common multiple of u and 28.
308
Let f = 83369/28 + -8935/3. Find the common denominator of f and 89/392.
1176
Suppose 441 = 3*o + 3*r, -4*o + 429 + 147 = r. Let x = 47 - o. Calculate the common denominator of ((-9)/x)/((-9)/(-174)) and 39/14.
112
Calculate the common denominator of -19/50 and 0 - (1/5)/(81/693).
450
Let k be -3*8/(-4) + -2. Suppose 5*l = -3*p + 65, -k*l = -4*p - 25 + 5. Calculate the smallest common multiple of 110 and l.
110
Let i be (1/4)/((-13)/(-52)). Let r = i + -7. Calculate the lowest common multiple of 5 and ((-3)/(-9))/((-2)/r).
5
What is the least common multiple of 3/(-1) - -98*(1 + 0) and 9?
855
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