3/8. Let k = 190 - 196. Let s(n) = 2*n**2 + 12*n - 12. Calculate the common denominator of s(k) and b.
8
Suppose 4*b + 18*b - 220 = 0. Calculate the lowest common multiple of 2074 and b.
10370
Suppose w + 35 = 5*x, w - 3*x + 82 = 57. Let s(c) = 2*c**3 - 4*c**2 - 3*c + 2. Calculate the lowest common multiple of s(4) and 15/w + (-39)/(-2).
54
Let x be 1/2 - (90/(-12) + 7). What is the least common multiple of 44 and (20 - 12)*(2 - x)?
88
Let g(a) = a**3 - 2*a**2 - a - 1. Suppose 20 = 19*f - 14*f. Suppose 0 = -3*u + 3*n + 27, 0 = -f*n - n - 5. Calculate the smallest common multiple of u and g(3).
40
Suppose 4*n - 743 = 5*k, -3*k - 940 = -5*n - 8*k. Let r = n - 133. What is the smallest common multiple of 16 and r?
432
Let c be (4 - (-1 + 4))/(2/236). Suppose -c = 3*f + 83. Let j = f - -74. What is the smallest common multiple of 35 and j?
35
Calculate the least common multiple of 8472 and (1624/(-290))/(5/(-25)).
59304
Suppose 364 - 1665 = -31*j - 185. Calculate the smallest common multiple of j and (-1)/2 + (-109)/(-2).
108
Suppose -1687 = -10*z + 3*z. Let k = z - 240. Suppose -3*g - m + 7 = -0*g, 2*g = 5*m - 1. Calculate the least common multiple of k and g.
2
Let y = 6453 + -6434. Calculate the common denominator of 52/1507 and y.
1507
Suppose 2*f - 4*m - 9662 = 0, 3*f + 14501 = 6*f - 2*m. Calculate the lowest common multiple of 10 and f.
9670
Let y(b) = 10*b + 91. Let s(h) = 5*h + 44. Let a(z) = 5*s(z) - 2*y(z). What is the lowest common multiple of 8 and a(-5)?
104
What is the least common multiple of (-45)/(-27)*57 + (-21)/(-3) and 170?
510
Let k = -1904536/73 + 26090. Suppose 444 = -5*w - 1316. Find the common denominator of 14*(-12)/w - 1/(-4) and k.
803
Let g = -161858142955043/61469304 - -713584977/271. Let b = -10/2181 - g. Calculate the common denominator of b and -69/22.
1144
Let q(a) = 2*a + 2. Let w be 1*(-77 - 1 - 1). Let h = 82 + w. What is the smallest common multiple of h and q(6)?
42
Let b = 42080 + -42012. What is the smallest common multiple of b and 2512?
42704
Suppose 0 = r + 5 + 7. Let o = 94 + -1511/16. Calculate the common denominator of (-94)/r*(-29)/(-58) and o.
48
Suppose 8 = 3*m + 2. Suppose -6 = m*h - 2. What is the common denominator of -77/4 and (79/h)/((-2)/1)?
4
Let o = 21866/6259 - 6415029315/200288. Let v = o + 32023. Find the common denominator of v and (-1)/2*((-164)/36 - -4).
288
Let v(w) = 2*w + 10. Let f be (-4)/(8/(-6)) + -1. Suppose -2*z - f*y = -29 - 11, 5*z = 4*y + 82. What is the lowest common multiple of v(-1) and z?
72
Let b = -1042/13 + 11737/156. What is the common denominator of b and 145/3294?
6588
Let o = 14892 - 89273/6. What is the common denominator of o and 113/3954?
3954
Let z = 10196 + -4181. What is the smallest common multiple of z and 35?
42105
Let z(w) = -6*w - 10. Let r be z(-9). Suppose -8*s = -r + 356. Let f = -23 - s. Calculate the lowest common multiple of f and 2.
16
Suppose -24*d - 78 = -3*w - 23*d, -4*w + 85 = 5*d. What is the lowest common multiple of 14 and w?
350
Let u = 2/12975 + 947143/207600. Find the common denominator of ((-2)/(-36))/((-11)/(5159/14)) and u.
144
Let i be (3/(12/(-4)) - -1) + 0. Suppose 3*u = -5*m + 58, i = u - 5*u - 5*m + 74. What is the lowest common multiple of 36 and u?
144
Suppose -f = -110 + 30. What is the common denominator of (-3 - -3 - -1) + f/(-510) and 1 + -2 - 26/66?
561
Let z be ((-12)/36)/((-3)/459). Suppose 0 = -q - 3*l + z, l + 269 = 4*q - 0*l. Calculate the least common multiple of q and 12.
132
Let c = 1728/25 + -242173/3525. Calculate the common denominator of 67/16 and c.
2256
Suppose 2*q - 20 = 16. Suppose -1 = h, -3*i + 69 = 2*h - 5*h. What is the lowest common multiple of q and i?
198
Let z = -35219/15 + 2347. Let w be (-4)/18 - 27926/(-117). Let y = w - 90751/390. Find the common denominator of y and z.
30
Suppose t = 3*t - 70. Suppose 6*g - g - t = 0. Calculate the lowest common multiple of g and ((-3)/7)/3 - 486/(-21).
161
Let z = 23393 + -23381. Let o(h) = 2*h**2 + h - 2. What is the lowest common multiple of z and o(-2)?
12
Let s be (-153)/(-4) + (-9)/(-12). Suppose 4*q - 31 = -h, -5*q + 5 + s = -4*h. Let z(v) = 6*v + 45. Calculate the least common multiple of z(-7) and q.
24
Suppose -3*z + 4*q + 69 + 7 = 0, -z + q = -25. Calculate the smallest common multiple of ((-888)/40 - 12)*90/(-54) and z.
456
Let a(p) = -p**2 + 170*p - 5385. What is the smallest common multiple of a(117) and 4488?
8976
Let t = 41 + -42. Let z be t + 3 - (-110)/(-64). Let a = -1781/96 - z. Calculate the common denominator of -68/3 and a.
6
Let o = 426 + -292. Let j = o - 128. What is the least common multiple of j and 199?
1194
Let z(x) = -x**3 - 10*x**2 - 6*x + 21. Let q be z(-9). Let s be 10/15 - 4888/(-3). What is the least common multiple of s/45 + (-7)/((-189)/q) and 18?
36
Suppose 0 = 7*j + 18*j - 75. Suppose -k + 12*s - 15*s = -167, -j*k - 3*s + 507 = 0. Calculate the smallest common multiple of 22 and k.
1870
Let j(t) = -t**2 + 25*t - 21. Let m be j(24). Suppose m*z - 24 = 2*z. What is the lowest common multiple of z and 12?
24
Suppose -2*i - c + 1013 = 0, 2*i = c + 695 + 332. What is the least common multiple of i and 306?
1530
What is the common denominator of ((-6)/195)/((176/1925)/2) and 49/8?
104
Let j(d) = -38*d + 384. Let b be j(10). Suppose 0 = c + 2, 3*c + 122 = b*n + 8*c. What is the smallest common multiple of n and -2 - (2 + -2) - -26?
264
Let r = 5513 - 10937/2. Find the common denominator of r and -24/11.
22
Let k(u) = -3*u + 13. Let l(s) = 2*s - 9. Let t(p) = -5*k(p) - 8*l(p). What is the lowest common multiple of t(4) and 5/(-1)*((-9)/(-5) - 3)?
6
Let d(r) = 7*r**3 - 3*r**2 - 150*r + 304. What is the lowest common multiple of d(2) and 192?
192
Suppose 4*g - g + 93 = 3*h, 54 = 2*h - 4*g. Suppose h*w - 882 = 41*w. Let k = -123 - w. What is the least common multiple of k and 3?
24
Suppose -12*b + 5*o - 70 = -17*b, b - 14 = 4*o. Suppose -4*i - 2*w - 10 = 0, 5*w = i - 0*w - 3. Calculate the smallest common multiple of (2/i)/(1/(-4)) and b.
28
What is the common denominator of 293527/(-29952) + 10 - -2*2/(-18) and -35/96?
768
Let u be 123/(-82) + (-165802)/(-110540). Let j = 2127803/1271210 - u. What is the common denominator of j and (-2)/6*70/(-8)?
276
Suppose -p = -j + 3*p + 28, 0 = -5*j + 3*p + 123. Suppose 4 = 2*z + 2. Let f(d) = 6*d - 4. What is the least common multiple of f(z) and j?
24
Let u = -25723 - -25863. Calculate the lowest common multiple of 880 and u.
6160
Calculate the common denominator of -5/142 and 105/176 + 386/(-772).
12496
Suppose -2*a + 2*x + 114 = 0, -145*a - 261 = -150*a - 3*x. Suppose 0*q + q + 2 = 0. Calculate the common denominator of -26/3 and 34*q/a - -3.
27
Calculate the common denominator of (6 + (-93)/4 + 7)*2/300 and -47/240.
1200
Let s(f) = -f**2 + 10*f - 5. Let x be s(11). Let u = x - -44. What is the smallest common multiple of u and 77?
308
Suppose -w + 102 = n - 137, 2*n + 732 = 3*w. Calculate the lowest common multiple of w and 242.
242
Calculate the common denominator of 37/236 and (48/(-36))/((-2090)/(-77))*(-110)/(-48).
40356
Calculate the common denominator of (-178740)/58968 + (-10)/(-7) and 79/2860.
8580
Suppose -3*d - 20*d = -483. What is the smallest common multiple of 60 and ((-246)/d - 2)/(96/(-336))?
240
Let y = -85/7 + 11. Let i be 9*(30/9 + -4). Find the common denominator of (51 - -1) + (2 - -1) + i and y.
7
Suppose 0 = -5*g - 8780 - 3420. Find the common denominator of -9/14 and g/(-240)*(-3)/(-2).
28
Let g = -5868/91 + 133919/2002. Calculate the common denominator of ((-29)/(-2))/((-454)/6) and g.
4994
Let g = -15200116 + 881577179/58. Let d = g - -510. What is the common denominator of d and (-6)/88*-2 + 2?
638
Let f = -26166 + 470857/18. Let a = -3544 + 21179/6. Find the common denominator of a and f.
18
Let x be (-2)/(-30)*6470745/(-18). Let o = -23972 - x. What is the common denominator of 133/6 and o?
18
Suppose -120*d - 623 = -3263. What is the least common multiple of ((-32)/(-20))/((-2)/(-255)) and d?
2244
Suppose -3*q - 3*v + 1029 = 0, 5*q - 2*v - 2146 = -431. Calculate the smallest common multiple of q and 4.
1372
Let r = 662534357/36 + -18407848. Let v = 4119 + r. Calculate the common denominator of -89/54 and v.
108
Let g be (-24)/(-10)*10/4. Let z be 439/5*