 = -17619/19 - -928. Let z be ((-78)/12)/(1/(-94)). Calculate the common denominator of v and (6/(-4))/((-117)/z).
114
Suppose -5*o + 6 = d, -3*o = -d - 3*d - 22. Suppose 2*g + w - 24 = 0, -15 = -g + w + 3. Calculate the lowest common multiple of 15 - 1 - d/2 and g.
112
What is the common denominator of 74865/(-16170) - (-1)/(-7) and 1/262?
2882
Let d(w) = 5*w**2 - 15*w + 12. Let q be d(5). Let v = q + 4. Calculate the smallest common multiple of 30 and v.
330
What is the common denominator of (-3003)/(-540) + 200/(-180) and 19/28?
140
Let j(m) = -m**3 - 6*m**2 + 267*m + 36. What is the least common multiple of 20 and j(12)?
3240
Suppose -b = 9*t - 4*t - 107, 2*t = 5*b + 32. Suppose -688 = -t*m + 68. Calculate the smallest common multiple of m and 20.
180
Calculate the smallest common multiple of 180 and (-8)/(-4)*24*12.
2880
Let s = -623 + 1163. What is the smallest common multiple of 12 and s?
540
Let x be (2/6*-1)/(36/(-972)). Find the common denominator of 13/50 and 1897/330 - (1 - x/11).
150
Suppose 0 = -6*m + 41 + 49. What is the least common multiple of -6*(-2 + m/10) and 27/(3 - 0) + 0?
9
Let z be 3620/14*(-2743)/78. Let s be 54538/(-6) - (-5)/(-15). Let o = z - s. Find the common denominator of o and 11/21.
21
Calculate the smallest common multiple of (6400/24)/((-28)/(-126)) and 2880.
14400
Let y = 1/220 - -247/110. Find the common denominator of y and -59/30876.
30876
Let q(t) = 48*t - 6. Let r be q(1). What is the least common multiple of 36 and (r/15)/(13/130)?
252
Let k(z) = -86*z**3 - z**2 + 4*z + 4. Let l be k(-1). Suppose -4*s = 13*s - l. What is the lowest common multiple of 9 and s?
45
Let f = 32957 + -659329/20. Let x = f - 9/5. Let v = 331/2 + -188. Find the common denominator of x and v.
4
Let n be (8/20)/((-14)/(-280)). Suppose -56 = -6*w - n. Calculate the lowest common multiple of 32 and w.
32
Let x = 1290 + -1263. What is the least common multiple of x and 6/(-15) + ((-141)/(-15) - 1)?
216
Let u = 134 + -190. Suppose 19*m - 210 = 16*m. Let o = m + u. Calculate the least common multiple of o and 6.
42
Suppose 15 = 4*s + 23. Let c(i) = 41*i**2 - 1. Let v be c(s). Suppose 5*j - r = v, 4*r = -4*j + 5*r + 130. Calculate the least common multiple of j and 12.
132
Suppose -300 - 4650 = -240*t + 810. Suppose 81 = 3*v - 51. Let p = v - 14. What is the smallest common multiple of t and p?
120
Suppose 4*n - 6*l + 9*l = 333, 271 = 3*n - 2*l. Calculate the least common multiple of n and 17.
1479
Let z(x) = x**3 - 11*x**2 - 14*x - 6. Let i be z(12). Let j be (-14)/(-21) + 70/3. Calculate the least common multiple of 12 and j/i + (-154)/(-5).
60
Calculate the common denominator of -1/14 and 25146/660*3/(-2394).
2660
Suppose 5*v - 3*z - 45 = -8*z, 0 = -2*v + z + 3. Suppose v*i + 15 - 6 = u, -i + 1 = 0. What is the smallest common multiple of 5 and u?
65
Suppose a - 3*a = 0. Suppose 8*b + 2*b - 350 = a. Suppose q = 2*p + 44, -2*q + b = -3*p - 48. Calculate the least common multiple of 14 and q.
238
Let g = 382 + -217. Suppose 5*y - g = -5*p, -5*p + 165 = 7*y - 5*y. Calculate the lowest common multiple of 5 and p.
165
Suppose -o - 3*c = -10900, c - 3 = 1. Let s = 762191/70 - o. What is the common denominator of s and 19/35?
70
Find the common denominator of (-6)/(-63)*(-2114)/(-24) and 65/50*(-385)/21.
18
Let r = -8765 - -175259/20. Find the common denominator of ((-22)/440)/((-3)/177) and r.
20
Find the common denominator of 10/99 and (0 + (-375)/(-56))/(0 - (-891)/(-18)).
2772
Let t = -10987/368 - -645/23. What is the common denominator of t and 49/136?
272
Calculate the least common multiple of 8 and 35*(-130)/(-140) - (-1)/(-2).
32
Suppose -5*o = 3*x + 16, 2*x - 10*o - 16 = -8*o. Let w = -220270/95877 - -4/3551. Calculate the common denominator of x/324*-115 - (-54)/(-72) and w.
27
Let s be ((-175962)/17584)/((-506)/(-161)). Let b = s + -6/1727. What is the common denominator of b and 87/28?
112
Let w(t) = -2*t**2 + 17*t + 66. Let u be w(11). Suppose -5*q - 5*v = -55, -q + 0*q + u = -2*v. What is the smallest common multiple of q and 41?
451
Let a = -202/23 + 47972/5635. What is the common denominator of -64/315 and a?
2205
Let g = -935230093/1278 - -731792. Find the common denominator of -125/18 and g.
1278
Let p = 696 - -1124. Suppose -13*f = -39*f + p. Calculate the lowest common multiple of 120 and f.
840
Suppose 6*d + 7 = 205. Suppose 21 = c + m + m, 0 = -5*m - 5. Let k = d - c. Calculate the least common multiple of 6 and k.
30
Let z be 246/10 - 28/(-70). What is the common denominator of (-2)/z - (-7 - (-39)/6) and 97/40?
200
Let i = -178 - -188. What is the least common multiple of 1 and 5 + 3/(((-75)/i)/5)?
3
Let b = -8/5087 + -462677/152610. Calculate the common denominator of -75/3554 and b.
53310
Let u be (-9)/(-3)*(-3 - -2). Suppose 842*t - 847*t = -100. Calculate the smallest common multiple of t and (1 - u)/((-5)/(-80)).
320
Let d = 2889683/44728299 + -2/346731. Calculate the common denominator of 145/1032 and d.
3096
Find the common denominator of -11 - ((-1274)/(-1496) - 12) and -19/18.
6732
Let d(t) = t**3 - 15*t**2 - 11*t - 15. Let z be d(16). Suppose 8*k - 6*k = 3*s - 62, z = 3*s - 5*k. What is the lowest common multiple of 4 and s?
20
Suppose -94*d - 132 = -105*d. What is the least common multiple of 16 and d?
48
Let f(c) = 4*c**2 - c + 9. Let r(g) = 2*g**2 + 18*g + 42. Calculate the smallest common multiple of f(0) and r(-6).
18
Let t = 22 + -10. Suppose -t*m = 13*m - 375. Calculate the lowest common multiple of m and 15.
15
Let a = 45/194 + -8769/32786. Let x = a - 3193/507. What is the common denominator of -83/50 and x?
150
Let u(m) = -m**3 - 12*m**2 + 154*m - 54. What is the lowest common multiple of 1199 and u(-20)?
7194
Find the common denominator of -76/33 and ((-72)/648)/((-27)/11).
2673
Suppose 0 = -4*i + 4*q + 24, 7*q - 9*q = 8. Calculate the least common multiple of 18 and i.
18
Let u = 807 - 783. Let l(d) = -d**2 - 3*d. Suppose 3*n + 14 = -2*k + 6*k, -5*n - 2*k = 6. Calculate the least common multiple of l(n) and u.
24
Let f be (4 + 16/(-3))*(-3)/2. Let g be (-43 + 5 + f)*9/(-4). What is the common denominator of g/8 + 12/48 and -25/16?
16
Suppose -4*d + 18 + 6 = 0. Suppose -3 = -3*i + d. What is the smallest common multiple of 15 and i?
15
Calculate the common denominator of -61/700 and 14 - (-8 - (-559)/78 - (-87)/18).
700
Let s = -6/817 - -56385/1634. Let w be 5/(-154)*8/(-15). Let m = 14342/1155 - w. Find the common denominator of m and s.
10
Suppose 0 = g - 2*i - 315, g - i - 336 = -6*i. Let l = g - 288. Calculate the lowest common multiple of 120 and l.
1320
Suppose -k = -0*k + w + 90, -3*k - 2*w = 274. Let g = k + 110. What is the lowest common multiple of 2 and g?
16
Find the common denominator of 5590/(-19608) + 2/(-40) and 51/190.
570
Let j = -361/12 - -2905/96. Let v = 13547771/132 - 102634. What is the common denominator of v and j?
1056
Let r = 3416336/103 + -33168. Calculate the common denominator of -48/13 and r.
1339
Let r = 12315 + -86067/7. Let p = -2287/154 + r. What is the common denominator of -107/40 and p?
440
Suppose 30 = h - 3*p - 2*p, 3*p = -2*h + 34. Calculate the least common multiple of (-9)/((-135)/444) - (-8)/20 and h.
60
Let g = -29 - -44. Let t = -103282 - -103294. What is the lowest common multiple of t and g?
60
Let u = 32/103 - 6745/11433. Find the common denominator of 37/9 and u.
333
Let g = 2/4085 + -191/56373. Let a = -2426/3795 - g. Find the common denominator of -55/108 and a.
1188
Suppose 0 = -6*w + 64941 - 14379. Let a = w - 134895/16. Find the common denominator of -47/36 and a.
144
Let x = 21371/198 + -998/9. Let u(i) = -2*i - 2. Let m be u(-1). Find the common denominator of m - 3 - 508/(-72) and x.
198
Let i(v) = v**2 - 13*v + 32. Let x be i(3). Suppose -5*p = q - 602, x*p - 3*q + 87 - 321 = 0. What is the least common multiple of p and 12?
120
Calculate the common denominator of ((-456)/36)/(902/3 - 7) and 47/3.
2643
Suppose 24 = r + 5*h, -9*r + 5*h - 36 = -13*r. What is the common denominator of 19/7 and r/(-12) + 139/204?
1428
Suppose 4 = d, 0*d - 3 = -5*t + 3*d. Suppose -5*g - 840 = -7*l + 4*l, -2*l + 556 = -2*g. Let p = -264 + l. What is the smallest common multiple of t and p?
33
Suppose 5*v + 19 = 4*j - 8, v = j - 6. Suppose b + j*y + 10 =