*3 + 8*u**2 - 9*u + 11. Calculate the least common multiple of 8 and b(a).
88
Suppose -3 + 192 = -9*l. Let t = 43 - 27. Calculate the least common multiple of t and 7/(l/(-45)) - -5.
80
Let l be 13 + -18 + 155*4. Suppose 11*t - 947 = l. Calculate the common denominator of t/(-7)*(-35)/60 and 91/15.
30
Find the common denominator of -1 - (4 + 1*(-43)/21) and (-2)/4 + (-1113)/84.
84
Let u = -2480/229 + 1384948/1603. Let o = 466705/546 - u. Calculate the common denominator of -31/117 and o.
234
Let o = 13 + 74. Suppose 0 = -3*d + 8*d + 400. Let j = o + d. Calculate the least common multiple of j and 9.
63
Let o = -13 + 29. Calculate the least common multiple of o and 24/(-7 + (-11)/(165/(-114))).
80
Let p(d) = 110*d - 11. Let s be p(-2). Let x = s + 251. What is the smallest common multiple of x and 106?
1060
Suppose 0 = -7*a - 0*a + 61761. Let d = a - 211601/24. What is the common denominator of d and (0 - 49/9)/((-212)/(-159))?
24
Let t be 4520/6 + 77/(-11). Let z = -763 + t. What is the common denominator of z and 46?
3
Calculate the lowest common multiple of (0 - 3)*(21 + 10 + -33) and 5196.
5196
Let p be ((-4)/(640/1572))/(36/(-216430)). Let z = p + -59065. What is the common denominator of z and 91/48?
48
Let r = 24031 + -24015. Calculate the lowest common multiple of 8058 and r.
64464
Suppose -2747*n = -2527*n - 39600. Calculate the smallest common multiple of n and 235.
8460
Suppose 27*k = -27*k + 50*k + 720. Calculate the lowest common multiple of 12 and k.
180
Let z(a) = 54*a**2 + 4*a + 2. Let g(i) = i**3 - 5*i**2 - 8*i - 29. Let j be g(7). Calculate the smallest common multiple of (j/52)/((-3)/(-264)) and z(-2).
2310
Let q = 26330167769509/3540601010 + 2/61044845. Let s = q - 7437. Find the common denominator of s and -87/8.
232
Suppose -4*d + 21592 = -5*d. Let t = -13223 - d. Let h = -50105/6 + t. What is the common denominator of 151/36 and h?
36
Suppose -4*m - 4 = 0, 5*y + 0*m = 3*m + 198. Let d = y + -42. Calculate the common denominator of (-50)/d + 30/(-15) and 47/4.
12
Suppose -88*k + 87*k - 15*p - 36 = 0, 0 = 5*k - 2*p - 51. Let y = 34 - 18. What is the least common multiple of k and y?
144
Find the common denominator of -61/30 and -10 + (-5263)/(-190) + -9.
30
Let z(v) = v**2 + 9*v - 18. Let c be z(-11). Suppose -2*d - 66 = q - 2*q, -c*d = 12. Find the common denominator of 2 and (-196)/q - -8 - (-1)/(-3).
5
Let x be (-1)/(0 - (-1)/(-5)). Suppose x*o - 84 = o. What is the smallest common multiple of o and 2060/1236 + (-58)/(-3)?
21
Let z = 82656/1074359 + -1/82643. Calculate the common denominator of z and (-1)/(-5)*(-13)/(-2).
130
Let y be 75/(76/24 - 3). Suppose 0 = -5*i - b + 17, 2*i = -5*b + 1 - 8. What is the least common multiple of 3/4 - y/(-40) and i?
12
Find the common denominator of -3/919 and (4 + (-13)/((-858)/1991))*(-6)/15.
2757
Suppose 0 = 3*s - 2*d + 3143 - 1325, -3030 = 5*s + 4*d. Let l be (-8)/(-6)*(4 + s/12). Let u = l + 88. Calculate the smallest common multiple of u and 8.
104
Let f = -70/41 + 1739/82. Let j(p) = -1171*p**2 - p - 1. Let b be j(-1). Let n = b - -4659/4. What is the common denominator of f and n?
4
Let g be ((3 - 1)*1)/((-34)/136). Let y be (g - (-246)/12)*(-1 + 281). Let i = 55973/16 - y. Calculate the common denominator of i and 81/14.
112
Suppose 0 = 5*w - 2*m - 122, -w + 185*m = 180*m - 52. Let i(x) = -4*x + 8. What is the lowest common multiple of i(-6) and w?
352
Suppose -24*q = 2*j - 27*q - 9, 18 = j + 3*q. Calculate the lowest common multiple of j and 4/(-10) - 411/(-15).
27
Suppose 5*r = -5*t + 10, 3*t - 3*r - 34 = -2*t. Suppose -21 = t*j - 8*j. Suppose -a + 19 = j. Find the common denominator of -97/6 and a.
6
Let o be 2/(-3)*((-150)/(-4))/(-1). Let v = o + 30. Let p = v + -47. What is the least common multiple of 14 and p?
56
Calculate the common denominator of 3/(-33) + (-4310)/(-23815) and 35/17.
7361
Let y be 6 + (-104180430)/8208 - 2/19. Let q = y - -12686. Calculate the common denominator of 5/72 and q.
72
Suppose 12*m + 8*m = 80. Suppose 0 = -4*t + m*l + 28, -4*t - 5*l + 35 + 2 = 0. What is the lowest common multiple of 11 and t?
88
Calculate the common denominator of (-24840)/(-368)*(-3)/(-460) and 71/368.
368
Let a(x) = 2*x**3 + 5*x**2 + 4*x - 12. Calculate the least common multiple of a(3) and 440.
3960
Suppose 10*f - 2323 = -13*f. Suppose 0 = 4*j - 43 - f. What is the smallest common multiple of j and 8?
72
Let b(i) = 58*i**2 + 5*i + 126. Calculate the lowest common multiple of 1 and b(8).
3878
What is the common denominator of 16/297 and 15/((-360)/(-32))*91/(-532)?
5643
Let g = -66 + 88. Suppose g*u - 18*u = 36. Calculate the least common multiple of u and 33.
99
Let f = -5844/1295 + 112/37. Calculate the common denominator of f and 56/145.
1015
Suppose -4*q + 4 = -8, -3*z - 3*q + 69 = 0. Let r be (2 - (-4766)/8)*z/(-3575). Let u = -8/143 + r. What is the common denominator of u and -2/7?
35
Let n = 119 - 122. What is the common denominator of (86/6)/((-68)/n) and 101/6?
204
Let u = 11 + -5. Calculate the common denominator of u/44*2 - -2 and (205/(-35) + 11)/(-3*(-6)/(-126)).
11
Suppose -73 = 22*p - 1525. Calculate the lowest common multiple of p and 24/(-15)*(-25)/2.
660
Let d be (-40415398)/975676 + (-3)/(-2). Let b = d - 2/18763. Let a = -7717/234 - b. Find the common denominator of -105/22 and a.
198
Let p(z) = z**2 - 3*z. Let s be p(4). Calculate the common denominator of (-178)/84 - s/(-14) and (2 - 285/6)*(29 + 1121/(-38)).
12
What is the least common multiple of 524 and ((-30)/(-10))/((-1042)/1048 - -1)?
524
Calculate the common denominator of (-30)/(-21)*(-1365)/72696 and 53/28.
6524
What is the common denominator of 1/1794 and (-1 + 106/40)/(1656/(-300))?
7176
Suppose -2*n - 71 = -3*n + 5*c, 4*n - c = 151. Calculate the least common multiple of 300 and n.
900
Suppose 67 = -7*z - 59. Find the common denominator of 91/10 and (3/(36/328))/(80/z).
20
Let w(r) = r**3 - 3*r**2 - 2*r - 24. Let l be w(6). Calculate the common denominator of (-82)/(-123) - (-95)/l and 109/6.
72
Let r be ((-159)/6*2)/(1/(-5)). Suppose -6*i - 49 = -r. What is the lowest common multiple of i and 18?
36
Suppose -x = 87 - 156. Suppose 0 = o + 63 - x. What is the smallest common multiple of 36 and o?
36
Let k = -91/6 - -23/3. Let c = 641/12378 + -136467295/953106. Let s = 1014/7 + c. Find the common denominator of k and s.
22
Suppose -111 = -s - 3*d, -s + 51 = -4*d - 46. Let o = -159 + s. What is the least common multiple of 44 and (o/(-15))/((-12)/(-40))?
132
Let h be 20/(6 - 568/96). Calculate the common denominator of -43/332 and 1705/h + -10 - (-2)/6.
1328
Suppose -o - 1481 = -3*l, -12*l + 2*o + 1480 = -9*l. Let j = -455 + l. What is the least common multiple of 7 and j?
273
Let n be 14559/18205 - ((-8)/(-5))/2. Let z = n + 236697/116512. Find the common denominator of (2/20)/((-112)/(-665)) and z.
32
Let w = -9/2237 - -695923/53688. Let h be (-3)/(-108)*454 - (-2)/9. Let n = h - w. What is the common denominator of -49/18 and n?
72
Let o = -86 - -90. Suppose 3*m - o*k + 20 = 4*m, 3*m - 28 = 4*k. What is the least common multiple of 8 and m?
24
Suppose 27*k - 3551 + 3281 = 0. Let v(h) = 139*h**2 + h + 1. Let f be v(-1). Let q = f + -27. Calculate the smallest common multiple of q and k.
560
Let p(f) = 13*f**2 - 12*f**2 - 2*f + f - 2 - 3*f**3. Calculate the smallest common multiple of p(-1) and 18.
18
Let q = -368279/5100 + 1801/25. Calculate the common denominator of 125/336 and q.
5712
Let u = 22 + -9. Let f be ((-120)/32 - -4) + 23/4. Suppose -3*y + 2*h = -38, -2*y - 3*h - 52 = -f*y. Calculate the least common multiple of y and u.
130
Let s be 16 - (1 + 0 + 1). Suppose 4*u + 3*n + 212 = 320, -4*n - 78 = -7*u. Calculate the smallest common multiple of u and s*(36/21)/2.
36
Let t(v) = -v + 128. Calculate the smallest common multiple of t(-8) and 1054.
4216
Let l(c) = 32*c - 214. Let h be l(23). What is the common denominator of ((-2)/h)/(44/(-10428)) and -25/27?
783
Let o(l) = 174*l + 5. What is the smallest common multiple of o(0) and 5?
5
What is the common denominator of (-15)/9 - 21252/(-11520) and 29/20?
320
Let s = 226 - 226. Suppose -4*z = -o + 4*o - 219, -2*z - 4*o + 102 = s. Calculate the smallest common multiple of z and 24.
456
Let k = -1736416579 - -19083105346/11. Let