 + 4905. What is the common denominator of q and -1 + -3 + (-174)/(-72)?
36
Calculate the common denominator of (-3 - 2035/(-682))/((-2)/152) and 29/4.
124
Let o be 631*(48/10)/4. Let v = 30703/40 - o. What is the common denominator of v and -95/8?
8
Let k = 85 + -38. What is the lowest common multiple of k and 14*(-8)/(-16) - 3?
188
Let v = -120 - -106. What is the common denominator of (((-88)/(-120))/(-1))/((-2)/v) and -38/21?
105
Let n(k) = -k + 7. Let l be ((-38)/(-4) - 3)*2. Suppose -25 = 3*r + 5*t, 7 = 5*r - 4*t - l. What is the smallest common multiple of n(r) and 15?
105
Suppose 2*i = s + 10, -2*i = -i + 4*s + 13. What is the smallest common multiple of 10 and (-3)/(((-9)/6)/i)?
30
Suppose -3*y + 7*y - 168 = 0. What is the least common multiple of 35 and y?
210
What is the common denominator of (13/(-10) - 1)/((-1068)/(-445)) and -101/112?
336
Let n(i) = -i**2 - 17*i - 25. Let z be n(-10). Let a = z + -35. Calculate the lowest common multiple of a and 7.
70
Let s = -43055 + 75819857/1761. Let z be (((-267784)/42)/(-4))/587 - -1. Let f = z - s. What is the common denominator of -53/10 and f?
70
Let u = -62 - -78. What is the smallest common multiple of u and 14?
112
Let o = -8 + 12. Suppose -o*s + 3 = -1. Let n(t) = t**3 - 5*t**2 - 2*t - 13. Calculate the smallest common multiple of n(6) and s.
11
What is the smallest common multiple of (63/(-21))/(2/(-60)) and 6?
90
Calculate the common denominator of -46/27 and (-405)/(-1458)*75/4.
216
Suppose 3*k - g = 2*g + 9, 4*k + 4*g = 4. Suppose 2344 - 10774 = -k*z. What is the common denominator of (-8)/2 + z/990 and 107/12?
132
Suppose u = -3*m + 11, 0 = 2*m + u - 2 - 7. Suppose 84 = 4*l + 8*i - 4*i, m*i + 66 = 4*l. Calculate the smallest common multiple of 40 and l.
360
Suppose -18 = -5*d + 2. Let z be (-4)/d + (-26)/2. Calculate the lowest common multiple of (0 + 50)*z/(-35) and 18.
180
Let a = -31 + 22. What is the common denominator of -43/3 and (46/a + 2)*(-16)/(-84)?
27
Find the common denominator of 42/25 and (516/(-36))/(((-200)/(-6))/(-2)).
50
Suppose -2*b - 10*i = -9*i - 81, 174 = 4*b - 2*i. What is the lowest common multiple of 162 and b?
1134
Let j = -5/1273 - 72431/33098. Calculate the common denominator of 15/8 and j.
104
Let n(q) = 29*q**3 - 3*q - 2. Let a be n(-1). Let d(b) = 10*b**2 - 2*b. Let z be d(-2). Let h = z + a. Calculate the least common multiple of h and 2.
16
Find the common denominator of (-11 + (-1515)/210)*(-1)/25 and -61/14.
70
Let g = -784/81 + 2977/324. Calculate the common denominator of g and 77/18.
108
Let y = -24676/9 - -2734. Let r = 13 + -18. Calculate the common denominator of 1*(((-130)/(-6))/r + 0) and y.
9
Suppose -1150 = -g + 5*o, o - 1192 - 2338 = -3*g. Calculate the common denominator of ((-8)/860)/((-20)/g) and 101/20.
860
Let j(z) = -4*z + 70. Let s be j(20). Find the common denominator of -55/8 and s/(-2) + (-231)/15.
40
Let d = 151085/37 + -4083. What is the common denominator of d and 61/2?
74
Let l(k) = -10*k**3 + 2*k**2 - 3*k + 4. Let n(u) = -u**2 - 1. Let b(q) = l(q) + 5*n(q). What is the lowest common multiple of 27 and b(-1)?
27
Suppose -11*l = -2894 + 540. What is the smallest common multiple of 20 and l?
2140
Suppose -16 = -2*i + 4*v, 1 - 7 = 2*v. Let p be (i - (5 + -1))*1. What is the common denominator of -127/6 and (-1)/p - (-62)/(-32)?
48
Let d be 1*(0 - 1) + -9. Let h = 1736 + -8717/5. What is the common denominator of h and (4/d)/(66/(-2255))?
15
Suppose 4*b = b - 38088. Let z = -203063/16 - b. Find the common denominator of z and -53/16.
16
Let u be (15/10818)/(-5)*4/(-3). Let y = -340783/43272 + u. What is the common denominator of (-1551)/210 + 4/(-10) and y?
56
Let g be (-25)/(-5) + 559/(-23). Let f = g + 8001/368. Calculate the common denominator of -49/40 and f.
80
Suppose v - 3*g + 3 = -g, 3*v - 23 = -2*g. Let q be (-2)/(v/(-355) - 0). What is the common denominator of -67/18 and (48/168)/(8/q)?
126
Let w be (4/6)/((-18)/(-27)). Suppose 0 = 4*a - w - 15. What is the least common multiple of a and 3?
12
Let u = -23 - -28. Suppose 0 = -u*z - 4 + 84. Calculate the least common multiple of z and 18.
144
Let u = 16 - 6. Let f be (-4)/10*(2 - -3). What is the lowest common multiple of 24/((-2)/(-2) + f + 3) and u?
60
Let m = -173 - -92. Let l be m/(-1)*-1*1. What is the common denominator of 57/4 and (l/(-22) - 2)*-1?
44
Suppose 13*n = -11 - 15. Calculate the least common multiple of 5 and 1/(-2) + n/((-12)/51).
40
Let x be 15807/684 - 3/4. Let p = 105/19 - x. What is the common denominator of 328/104*(3 - 2) and p?
78
Let t = 28 - 27. What is the lowest common multiple of 8 and 4*(-4)/((-8)/t)?
8
Let m = 20177/67770 - -3/502. Find the common denominator of 92/45 and m.
135
Suppose 0 = -4*k - k + 3*o + 144, -12 = 4*o. What is the lowest common multiple of k and 15?
135
Suppose -15*q - 12*q + 3591 = 0. What is the smallest common multiple of 28 and q?
532
What is the common denominator of 27/16 and 2/(-15) - 553/(-2478)?
4720
Let k(f) = -5*f + 15. Let q be k(7). Let n be q/5 - -6 - -54. Suppose -4*m = -11*m + n. Calculate the lowest common multiple of m and 10.
40
Suppose 0 = -3*x - 3*p + 15, x + x + 4*p = 18. Suppose h = 2 + 1. What is the smallest common multiple of x and h?
3
Let w(o) = o**3 + 8*o**2 + 3*o - 6. Suppose 0*q - 64 = 4*q. Let f(m) = -m**2 - 16*m + 4. Calculate the smallest common multiple of f(q) and w(-7).
44
Let i = 278 - 266. What is the lowest common multiple of 9 and i?
36
Let o(y) = 12*y**2 - y + 2. Let r(s) = -23*s**2 + 2*s - 3. Let j(k) = -5*o(k) - 3*r(k). Calculate the smallest common multiple of (-4)/6 + (-3)/9 + 4 and j(-1).
9
Let h be (11/(-4))/((5/(-1045))/1). Let q = 6779/12 - h. What is the common denominator of q and 74/3?
6
Let d = 22 + -21. Let y = 6 + d. Let r(p) = p**2 - 2*p + 3. Calculate the least common multiple of r(3) and y.
42
Let p(j) = -33*j - 64. Suppose 0*i - 2*i = -18. Calculate the least common multiple of p(-3) and i.
315
Let v(h) = h**3 - 8*h**2 + 7*h + 8. Suppose -260*m = -254*m - 30. Calculate the lowest common multiple of m and v(7).
40
What is the common denominator of -61/84 and 4*(-16)/192 - 97/(-108)?
756
Let r = -262 + 537. What is the smallest common multiple of r and 45?
2475
What is the least common multiple of 18 and 26*42/9 - 12/(-18)?
1098
Let z = 414 - 319. Calculate the least common multiple of z and 15.
285
Suppose -4 = -4*d + 5*f + 30, 2*f + 4 = 0. Calculate the smallest common multiple of 18 and d.
18
Let r = 320/3 - 2653/25. What is the common denominator of 43/100 and r?
300
Suppose 483 = -25*x + 32*x. What is the lowest common multiple of 12 and x?
276
Let b = 304 - 296. Let m = 10 - 5. Calculate the least common multiple of b and m.
40
Let y = 17521/337632 + 2/10551. Find the common denominator of -131/60 and y.
480
Let d = 7368 - 66245/9. Suppose 2 - 71 = -3*a. Suppose -3*t + 62 = -2*g, 2*t - g = 4*g + a. Calculate the common denominator of d and t.
9
Let z be (-974)/60 - 4/8. Let d = z - -35/6. What is the common denominator of -17/22 and d?
110
Suppose 11*g - 33 - 55 = 0. Calculate the smallest common multiple of 4 and g.
8
Let v(l) = 1745*l + 1. Let a be v(-1). Let p be a - (-3 + 1 + 2). Let w = p + 38349/22. What is the common denominator of w and 67/18?
198
Let n = 1547/76 - 154/19. Find the common denominator of n and ((-22)/495*-9)/((-16)/(-220)).
4
Let r = 12 + -7. Calculate the least common multiple of 37 and r.
185
Let i be (4/6)/((-4)/78). Let k = i - -15. Suppose 3*l = 3*n - 9, 2*n - 6 = -7*l + 2*l. What is the smallest common multiple of n and k?
6
Let o = -20 + 10. Let v be (4/o)/(2/(-5)). What is the smallest common multiple of v/(1 + 4/(-8)) and 3?
6
Suppose -t - 11 + 1 = 0. Let c = 99/16 - 2179/272. What is the common denominator of (-10)/t + 66/(-5) and c?
85
Let f = -70 - -72. Suppose 5*z = 2*h + 2*z - 11, -h - 4*z = 0. What is the lowest common multiple of h and (26/(-91))/(f/(-28))?
4
Let u = -188 - -122. Let c = 78 + u. What is the lowest common multiple of 18 and c?
36
Suppose -5*l + 25 = 0, -r - 32 = -4*l - 112. Calculate the smallest common multiple of 20 and r.
100
Suppose -5*q = 4*r + 32, -3*q + 3*r = -r. Calculate the lowest common multiple of 2/3 - (-94)/3 and 12/(-10)*60/q.
288
Let x = -51 - -57. Let t(u) = -u**3 + 4*u**2