16. Calculate the common denominator of (4 + (-65)/16)*18 and o.
24
What is the common denominator of 410*1/(-228) - -3 and 1/20?
1140
What is the common denominator of 155/42 and -6 + 1772/252 + 0?
126
Suppose 0 = 46*g - 42*g - 352. What is the least common multiple of g and 16?
176
Let w(x) be the second derivative of -x**3/3 + x**2 + x. Let k(t) = t**3 + 12*t**2 + 23*t - 31. Calculate the smallest common multiple of k(-9) and w(-4).
10
What is the least common multiple of 36 and -5 - (-53 - (-6)/1)?
252
Let v(a) = -a + 134. Calculate the lowest common multiple of 13 and v(5).
1677
Let o(p) = -p**3 + 17*p**2 - 59*p + 18. Calculate the lowest common multiple of o(8) and 10.
610
Let q = 1/16405 - 951547/935085. What is the common denominator of (-4)/14 - (-12)/9 and q?
399
Suppose 52*y - 2*y = 50. Calculate the lowest common multiple of y and 3.
3
Let z = 92677/126 + -5097/7. Let t be (1232690/(-153180) - (-2 + 1)) + 1. Let h = t - 7/851. Calculate the common denominator of h and z.
18
Let k = -1/23505 - 634513/2867610. Find the common denominator of (-344)/(-15) - (-4)/10 and k.
366
Suppose 3*r - 106 = -13. Calculate the least common multiple of 217 and r.
217
Suppose -s + 16 - 6 = 2*a, -3*s + 70 = -4*a. What is the lowest common multiple of 96 and s?
288
Let w be ((-72)/32)/((-1)/8). Suppose 42 = -0*m + 3*m. Calculate the lowest common multiple of m and w - ((1 - 2) + 5).
14
Let a = -97/342 - 2/19. Calculate the common denominator of -13/4 and a.
36
Let j(q) = q**3 - q**2 - 4*q + 4. Suppose 4*d - 5*a - 28 = 3*d, -5*d = -4*a - 35. Let r be j(d). Calculate the common denominator of 8/9 and 31/r*(-12)/3.
45
Let k = -445 + 721. What is the smallest common multiple of k and 20?
1380
Let o = 218713326 + -473295623941/2164. Let y = o + 1/1082. Find the common denominator of -18/5 and y.
20
Calculate the common denominator of (94/4)/(96/(-12)) and 91/24.
48
What is the common denominator of 2/1 + 0 - (-326)/(-120) and -26/11?
660
Let p(m) = -m**3 - 10*m**2 + 11*m - 3. Let u be p(-11). What is the common denominator of (-129)/(-45)*u/(-2) and (7/(-8))/((-3)/78)?
20
Suppose 20*k - 8 = 18*k. What is the least common multiple of 18 and k - 1 - 5/15*-9?
18
Let g be 6/33 - (-13199)/(-660). Let w = 9/14 - 1543/70. Let z = w - g. What is the common denominator of z and -13/3?
12
Let i be (-30)/8*43572/(-162). Let s = 1009 - i. Let a = -98147/22 - -4462. Calculate the common denominator of a and s.
198
Let k(r) = 17*r**2 - 3*r. Let o be k(1). Suppose 2*c = o + 4. What is the smallest common multiple of 2/3 - (-28)/3 and c?
90
Let g = 446 + -426. Calculate the least common multiple of g and 112.
560
Suppose 0 = -150*h + 151*h - 15. Let p = -73 + 43. What is the lowest common multiple of h and 2/(-4) - p/4?
105
Suppose 4*p - 6 = -n, 5*n - 13 = 5*p - 8. What is the lowest common multiple of n and 40?
40
Let b(h) = -h**2 - 11*h + 61. Let q be (-1 - (-5)/3)*9. Suppose -33 = -q*d + 3*d. What is the least common multiple of d and b(4)?
11
Suppose -4*u - 8*l = -7*l + 7, -2*l = -4*u - 10. Find the common denominator of -20/3 and u.
3
What is the least common multiple of 26 and (30/6 + -2)/(3/39)?
78
Suppose -10*q - 6 = -12*q. Calculate the least common multiple of q and 152.
456
Calculate the lowest common multiple of 24 and (3 - (-76)/(-8))/(11/(-66)).
312
Let f(m) = -68*m - 167. What is the lowest common multiple of 2 and f(-4)?
210
Let z = 235/27 + 17/27. Let x = 1278 - 11489/9. Let t = -44/63 - x. Calculate the common denominator of z and t.
21
Let w be (-6 - -3) + 7 + -1. Let x be w/18 - 21/(-270). Let d = x + 451/180. What is the common denominator of d and -20/9?
36
Let o = -18 - -45. Let u be (2 + o/(-15))*-3418. Let b = u - -681. Find the common denominator of 17/14 and b.
70
Suppose f - 5*p + 31 = 0, 0 = -6*f + f + 3*p - 45. Let n = -211/15 - -26/3. Calculate the common denominator of n and 205/(-10)*f/33.
55
Let i = 403996/935 - 4756/11. Find the common denominator of i and -36/55.
935
Let b(l) = l**3 - 2*l**2 + l - 1. Suppose 20 = 4*o + 2*n, 17*o - 18*o - 13 = -4*n. Calculate the lowest common multiple of o and b(2).
3
Let n be -1*2 + -2 + 106. What is the common denominator of 13/18 and (-40)/(-66)*n/96*-6?
198
Let n be (4 - 3)/(1/(-11)). Let r = n + 9. Find the common denominator of r/(-6) + 798/(-396) and -89/8.
88
Let o = 67/40 + 45/8. Let p = 10/709 - -115267/21270. What is the common denominator of p and o?
30
Let f(q) = 2*q**2 + 4*q - 2. Let x be f(-3). Suppose 4 = -2*o + o, -k - x*o = 15. Calculate the smallest common multiple of (2/(-6))/((-1)/33) and k.
11
Let q = 53/960 + 5/64. Find the common denominator of -131/12 and q.
60
Let f(w) = -2*w**2 + 4*w + 23. Let i be f(-10). Let y = i + 425/2. Calculate the common denominator of 59/4 and y.
4
Let c = -208/7 - -479/14. Find the common denominator of (-67)/24*(-12)/4 and c.
8
Suppose -5*q - 3*a = -40, -4*q - 3*a + 40 - 5 = 0. Suppose q*h + 167 = 12. Let z = 10/239 - -15505/717. Find the common denominator of z and h.
3
Let j = -37343/10 - -3744. Let x = -3363 + 9223. Let y = -58491/10 + x. What is the common denominator of j and y?
10
Suppose 2*v = -3*v + 270. Let l = -26/749 + -27505/5992. Calculate the common denominator of l and (-6)/(-14)*v/(-4).
56
Suppose 3 + 73 = 4*f. Suppose 16*b = f*b - 24. Calculate the least common multiple of b and 16.
16
Suppose -142 = -0*o - 2*o. Let h(d) = -3*d**3 - 3*d**2 + 2*d + 1. Let n be h(-3). Let g = o - n. Calculate the smallest common multiple of g and 14.
154
Calculate the smallest common multiple of 31 + 8 + (-42)/6 and 4.
32
Suppose -999 + 79 = 10*y. Let x = y + 1091/12. What is the common denominator of -62/15 and x?
60
Suppose 4*v - 10 = 10. Calculate the lowest common multiple of (-4)/(-10) + 48/v and 4.
20
Let v = -2 - -8. Suppose 2*t = v*t - 56. Suppose -3*h = -5*g + 14, 0*h = 4*g - h - t. What is the smallest common multiple of g and 12?
12
Calculate the common denominator of (-4)/6*(-17)/((-89012)/3009) and 131/66.
462
Let q = 83 - 417/5. Calculate the common denominator of q and 28/5.
5
Suppose 0 = 310*r - 313*r + 18. Let v(f) = 7*f - 2. Let l be v(2). Calculate the smallest common multiple of r and 5/(-2)*l/(-15).
6
Suppose -6*t - 144 = -10*t. Let j = -20 + t. What is the smallest common multiple of j and 20?
80
Let h be (3/(-6))/(5/3210). Let i = h - -657/2. Find the common denominator of i and 6/20*98/(-12).
20
Suppose a + 0*a + 5*d + 10 = 0, -d = 5*a - 22. Suppose 0 = -5*f + a*s - 120, 18 = f + 4*s + 42. What is the least common multiple of 4 and (-2)/(-5) + f/(-15)?
4
Calculate the smallest common multiple of 406*6/60 + (-3)/5 and 420.
840
What is the common denominator of -77/34 and -5 + 2 - 75/(-12)?
68
Let g = 467867/4 - 2421273/20. Let s(a) = -a**3 + 11*a**2 - 3*a + 11. Let m be s(-13). Let b = m + g. Find the common denominator of -31/22 and b.
110
Suppose -28*s + 45*s - 22848 = 0. What is the smallest common multiple of 4 and s?
1344
Calculate the common denominator of 181/810 and 2/21 - 9305/(-420).
1620
Calculate the least common multiple of (-1)/4 + 1089/36 and 110/9 + (-106)/477.
60
Suppose a = o + 12, -26 = -3*o - 44. Let c = 26 - 17. What is the smallest common multiple of a and c?
18
Let w be 2/(-8) - 184951/1820. Let j = 479/5 + w. Calculate the common denominator of -89/8 and j.
56
Suppose 10 = -4*d + 54. Let k = 4 - 6. Let j(y) = -4*y + 3. What is the smallest common multiple of j(k) and d?
11
Let c(j) = -3*j + 10. Let x be c(6). Calculate the common denominator of (-51)/8*(x - -4) and 12/116*2/6*-11.
58
What is the common denominator of 2475/200 - (1 - -2) and -33/664?
664
Let k be 0 - (2 + (-1313)/70). Let g = -369/35 + k. Let a = 4968 - 89531/18. What is the common denominator of a and g?
126
Calculate the common denominator of -117/80 and (-62)/(-5)*((-5)/4 + 2).
80
Suppose -3*m - 4 = -5*m. What is the least common multiple of m and 31?
62
Let i be 18106/(-3836) + 3/6. Let c = -9/137 + i. Calculate the common denominator of c and 32/5.
35
Let q = 1256 + -32667/26. What is the common denominator of ((-2)/(-12))/((-16)/(-174)) and q?
208
Suppose 2*k + 2*k - 304 = 0. Let n = 90 - k. Calculate the least common multiple of n and 46.
322
Let f be 16/8 - (-4 + 2). Suppose f*r + 30 = -50. Let y = r - -22. What is the lowest c