*z + 660. Calculate the common denominator of -65/288 and 20/z - (-53)/(-22).
3168
Suppose 194 + 170 = -4*s. Let n = s - -63. Find the common denominator of (-298)/(-18)*(-42)/n and -2.
6
Let r(q) = 2*q**3 + 3*q**2 - 15*q - 2. What is the smallest common multiple of 138/5 - (-4)/10 and r(-3)?
112
Let a(q) = 11*q - 19. Let u = -64 + 66. What is the least common multiple of 2 - (-3)/(4 - 1) and a(u)?
3
Calculate the common denominator of -2 + (13139/630 - -5)/12 and -103/1620.
3240
Let n be 2 + 54/(-24) - (-3065)/20. Suppose 85 + 51 = 3*j - 2*z, -3*z + n = 4*j. What is the lowest common multiple of j and 6?
42
Let l be 128/(-1344) + (118612/42 - -1). Find the common denominator of ((-2)/(-4))/(l/(-1025)) and -119/18.
2034
Let s = -1987433485/2946 - -674621. What is the common denominator of -41/18 and s?
8838
Suppose 2*f - 3*u + 8 = -2*f, 2*u - 5 = 3*f. Calculate the common denominator of ((-6)/(-5) + f)*108/(-72) and 62/(-9) + 1*2.
90
Let j = 5662 + -5156. Calculate the lowest common multiple of 920 and j.
10120
Suppose 7*u = 8*u + 4*l - 960, 3*u + 5*l - 2894 = 0. What is the least common multiple of 4 and u?
968
Let i = -1905 + 2094. Calculate the lowest common multiple of 189 and i.
189
Let a be 6/(-1) + 32/(-8). Let q(i) = i**2 + 8*i + 13. Let d = -112432/21 + 5358. What is the common denominator of d and q(a)?
21
Let w = 39055903 + -859378903/22. Let f = -6771 - w. What is the common denominator of (2/6)/(32/6) and f?
176
Let j be (-1930)/(-403) - 10/2. Let t = 21608/14105 - j. Find the common denominator of -36/25 and t.
175
Let l = -119517/15626 + 512663831/37791481. Let a = 64797 - 44774719/691. Let r = a + l. Calculate the common denominator of r and 77/4.
28
Suppose -2*j - 3836 = 4090. Let x be (-12)/(72/23717)*1. Let n = j - x. What is the common denominator of -17/2 and n?
6
Let d = -163/61 - -13615/2196. Calculate the common denominator of -1*2/8 + (-1793)/(-1452) and d.
396
Let a = -107 - -263. Let v = -20334 + 20336. What is the least common multiple of v and a?
156
Let d = -15953/1710 + 5/171. Calculate the common denominator of 15/2 and d.
10
Let c = 21024 + -252149/12. Find the common denominator of (962/455)/(3996/(-370)) and c.
756
Suppose 633 = -16*q + 1833 + 1840. What is the lowest common multiple of 2 and q?
190
Let s be (13 + -4)/((-12)/(-8)). Find the common denominator of (-2599)/(-276) - (-6)/(-9)*s and -11/18.
36
Suppose -12*r + 7530 = 178074. Let d = -255893/18 - r. Let i = -21813 + 523631/24. Find the common denominator of d and i.
72
Find the common denominator of ((-1573)/(-260) + 10)*6/(-171) and 111/200.
3800
Calculate the common denominator of 41/735 and (664 - 639) + (-122534)/4900.
7350
Find the common denominator of (-6)/(-14) - (70 + 174784/(-2464)) and 9/214 + 0/(-2).
2354
Let a = 39873/58750 + 8/625. Calculate the common denominator of 49/470 and a.
470
Let p be ((-87786)/(-27))/((-4)/(-6)). Suppose n + 0*n = p. Let g = n + -78121/16. Find the common denominator of -31/16 and g.
16
Let u = 57532081/111960 + -23122/45. Find the common denominator of -145/12 and u.
7464
Suppose -3*d = -4*a + 10, 2*d - 8 = -a - 0. What is the common denominator of 24/(-45)*(-13)/a and (-2)/(9 + 1793/(-187))?
15
Suppose -81*n = 97*n - 151*n - 8100. Calculate the least common multiple of n and 600.
600
Let s = -667 + 3871. Calculate the lowest common multiple of 90 and s.
16020
Let q = -1691 + 1702. Calculate the least common multiple of q and 1712.
18832
Let z be (-24)/(-18)*270/4. Calculate the common denominator of 37/86 and ((-84)/z)/((-24)/75).
516
Let h(m) = 2*m**2 - 6*m - 2. Suppose 0 = -6*y - 48832 + 49426. What is the smallest common multiple of h(-4) and y?
594
Let q be 16/(-6 + -1 + 5). Calculate the common denominator of (q/(-12))/((-20)/(-69)*3) and 133/66.
330
Let k(t) = -7*t**2 - 51*t + 26. Let o be k(-8). Calculate the smallest common multiple of 39 and ((-287)/o + -3)*48/28.
390
Let r = 4081238 + -146907071/36. Let a = 486 - r. Calculate the common denominator of a and -19/18.
36
Let m = 377/20 - 823/60. What is the common denominator of m and (-2)/110 - (2 + (-112)/35)?
165
Suppose 0 = -15*s + 5*s + 40. Suppose 585 = -3*b - 0*l - s*l, l + 780 = -4*b. Calculate the common denominator of -127/12 and ((-66)/225 + 0)*b/12.
60
Let l(h) = -3 - 2 - 7 + 5 + h**2 - 3*h + h**2. Calculate the least common multiple of 215 and l(-2).
1505
Let g(o) = 17*o + 64. Let a be g(16). Suppose 2*r - a = -r. Suppose -k + r = 7*k. What is the smallest common multiple of 52 and k?
364
Suppose -4*f = -193 + 181. Suppose 4*i - 124 = -0*p - f*p, 3*p + 182 = 5*i. What is the common denominator of i and 71/9?
9
Let a(q) = -17*q + 107. Let d be a(6). Suppose 10*h + 4*c = d*h + 47, -2*h + 26 = 4*c. Calculate the lowest common multiple of 160 and h.
1120
Let h(d) = -d**2 - 9*d + 13. Let a be h(-28). Let u = a - -531. Calculate the least common multiple of u and 8.
24
Let q(n) = -3*n + 15. Suppose 3*i - 17 = -v, 4*v - 11 = -4*i + 9. Let f be q(i). Calculate the common denominator of 71/2 and (-25)/(-40)*(-9*1 - f).
4
Suppose 2*b + 2*b = 956. Let x = 1421/6 - b. Calculate the common denominator of x and (323/(-228) + 2)/((-2)/4).
6
Let v(a) = 4*a**2 + 23*a - 50. Let n(q) = -q**3 - 2*q**2 - q. What is the least common multiple of v(4) and n(-3)?
636
Suppose -14*a = -5*a - 27. Let p be (-16)/(4*a/12). Find the common denominator of (2/p)/((-24)/(-496)) and -31/12.
12
Let b = 168 + -171. Find the common denominator of 68/87 and 56/(-9) - 0/b.
261
Suppose -o + 3 = 3*r - 0*o, 4*r + 5*o + 7 = 0. Calculate the least common multiple of (r + (-24)/(-9))*(-162)/(-21) and 24.
72
Let m(p) = 2*p**2 + 47*p - 61. Let q be (3/2)/(39/(-650)). Let x(l) = l**3 + 7*l**2 - 7*l - 1. Calculate the smallest common multiple of m(q) and x(-7).
336
Let d(f) = f**2 + 0*f**2 + 10*f - 4*f - 24 - 18*f. Calculate the smallest common multiple of 6 and d(16).
120
Let m = -220/7 + 3219/112. Calculate the common denominator of (6188/(-561))/26*27/(-16) and m.
176
Suppose -28083 + 11457 - 33174 = -83*m. Calculate the lowest common multiple of m and 1200.
1200
Suppose 5*k = 4*n - 4375, 3500 = -4*k - 37*n + 41*n. Let w = k - -968. What is the least common multiple of 1 and w?
93
Let a(b) = -b**3 + 7*b**2 - 2*b - 32. Let i be a(6). Let s = 41 - i. Calculate the smallest common multiple of s and 28.
196
Suppose -2*n + 2*b - 9036 = 0, 4*n - 5*b + 22057 - 3990 = 0. Let y = -126657/28 - n. What is the common denominator of y and ((-4145)/350 - -1) + 8/7?
140
Let t = 157 + 10. Let i(r) = -r**2 - 396*r - 8574. Calculate the smallest common multiple of t and i(-23).
835
Suppose 4*a + 4*y - 1108 = 2*y, 3*y + 1108 = 4*a. Suppose 4*r + 886 = 2*l, 172 = -2*r + 3*l - a. What is the least common multiple of 18 and 16/(-20)*r/8?
198
Suppose 2*n + 304 = -5*m + 56, -m + 5*n = 28. Let l = -28879/30 + 963. What is the common denominator of (7 - 11) + (-65)/m and l?
240
Let f(a) = 3*a**2 + 3*a - 14. Let o be f(-3). Calculate the common denominator of 3/o + 484/560 and 47/32.
1120
Suppose -4*k + 5*u + 44824 + 5740 = 0, -2*u = 2*k - 25300. Let q = -429911/34 + k. Find the common denominator of q and -61/6.
102
Let w be 272/(-3)*(-255)/(-7). Let b = w - -3311. What is the common denominator of 356/11214 - -230*29/252 and b?
14
Let t(k) = -2*k**2 - 144*k + 2165. What is the lowest common multiple of t(-82) and 300?
2100
Let v = -20347 + 162551/8. Let a = 1363/48 + v. Find the common denominator of a and 55/42.
336
Find the common denominator of 7/200 and (-912395)/97656*6/(-8) - (7 - 0).
10400
Suppose 0*s - 3*s + 163 = 4*d, -5*s = 4*d - 165. What is the least common multiple of 18/(-6)*(-416)/78 and d?
80
Let o = -27807/562 + -6/281. Let z be 8496/420 + ((-6)/(-14))/(-1). Let p = z - 509/30. What is the common denominator of p and o?
6
Let p = -102034985/11 + 37068899/4. Let q = p + 8685. Find the common denominator of -29/36 and q.
396
Let u(l) = 2*l - 4. Let q be u(1). Let m(o) = o**2 - 9*o + 2. Let w be m(7). What is the common denominator of ((-1)/(-21))/(q/w) and 24/11?
77
Let u be 1/4 + (-1898)/8. Calculate the common denominator of -2*(2 + u/54) and (-180)/(-3000)*(-950)/(-15).
45
Suppose 6*l - l - 40 = -5*o, l = 5. Suppose o*s = 16 - 13. Calculate the least common multiple of 20 and 24/s*1/3.