
Let u be (-9)/6819*4563 - -6. Let q = u - -166469/631894. Calculate the common denominator of q and 87/16.
2224
Let f(g) = g**3 - g**2 + 2*g - 11 - 11*g + 15*g**2. Let l be f(-8). Find the common denominator of 4/(100/l)*1/(-2) and -31/96.
480
Suppose 29 = 5*v - s - 33, 28 = 3*v + 4*s. Suppose -12*a = -v - 48. Calculate the lowest common multiple of 273 and a.
1365
Let x be -4*((-10)/4 - -3) - -120. Find the common denominator of (-2 - 0) + 150/(-16) and 71/5*59/x.
40
Suppose -3*v - 4*x = -8, 0 = -3*x - 3. Calculate the least common multiple of 52/(-10)*5/2 + 19 and v.
12
Let j = -299220 + 432073601/1444. Calculate the common denominator of 73/44 and j.
15884
Let v = 1235336 - 12636251969/10229. What is the common denominator of v and -111/10?
102290
What is the common denominator of 31/1017 and (-4)/(-14) + (-2 - 13772/(-8736))?
105768
Let m be (-28)/3 + 1/3. Let j(h) = -17*h + 8. What is the least common multiple of (-12)/m*30/4 and j(0)?
40
Suppose -1341*o + 1399*o - 25520 = 0. Calculate the least common multiple of 214 and o.
47080
What is the common denominator of (55/7975)/(132/(-70)) and 49/121?
21054
What is the lowest common multiple of 944 and 35/(-4)*(-10)/7*(-7080)/(-75)?
4720
Let l(u) = 6*u - 4. Let r be l(1). Suppose r*b = -2 + 30. Suppose -6 + b = p. What is the lowest common multiple of 64 and p?
64
Suppose -4*v + 3*p = v - 335, 3*v - 4*p = 190. What is the common denominator of (-540)/(-400)*v/66 and -111/10?
220
Let b be 3 + -3 - 0 - (-25)/2. Let u = -12 + b. What is the common denominator of -35/6 and u?
6
Let l = -13783/3879 + -1/431. Let c = -163468/15 - -10894. What is the common denominator of l and c?
45
Suppose 3*n = 2*s + 7 + 48, 2*n = 4*s + 66. Let a(o) = 7*o - 3. What is the lowest common multiple of n and a(2)?
11
Calculate the common denominator of 64/21 and 56644/9792 + (-2)/12 - 6.
1008
Suppose 76*u = 66*u + 400. Suppose 5*p = 1 + 99. Calculate the lowest common multiple of p and u.
40
Find the common denominator of 53/220 and (12/54 + (-134)/(-180))/(1943/261).
14740
Let o(t) = t**3 + 10*t**2 + 14*t - 11. Let b be o(-8). Suppose 0 = 9*l - b*l - 16. Calculate the least common multiple of 14/21*6/l*9 and 1.
9
What is the common denominator of -77/80 and ((-1493)/(-5564) - 22/143) + (-11 - -11)?
8560
Let n(p) = p**3 - 26*p**2 + 157*p - 62. What is the smallest common multiple of n(17) and 64/6 - 1/(-3)?
66
Suppose 2*k - 15 = 5*k, -3*k - 71 = -4*s. Suppose -3*c = 5 - s. Find the common denominator of 1/8 and 44/(-14) + 0/c.
56
Suppose -2*h - 3*h + 538628 = 4*q, 5*q - 673285 = -h. Let k = 16697569/124 - q. Calculate the common denominator of k and 29/16.
496
Let m(t) = t**2 - 8*t - 80. Suppose -12*u + 24 = -168. Calculate the least common multiple of 66 and m(u).
528
Suppose 0 = 11*m - 120 - 78. Let p(y) = -5*y**2 + 3*y**2 - 2*y + 3*y**2 - 8 + y**2. Calculate the smallest common multiple of m and p(4).
144
Suppose 2*q = -15*z + 11*z + 48, 0 = q - 5*z - 3. What is the smallest common multiple of 11 and q?
198
Let f(k) = -k**2 + 18*k + 36. Let l be f(18). What is the common denominator of -133/78 and -6 - ((-13566)/l)/19?
78
Calculate the least common multiple of 35 and -7 + ((-1898)/(-24) + (-49)/588 - 2).
70
Let z be (-4 + 9)/(10/2120). Find the common denominator of -81/8 and 3/4*z/2760.
184
Let u be (-1)/((-6)/(-180)*6). What is the smallest common multiple of 77 and (132/(-18) - u)*-27?
693
Suppose 228*m - 441*m = -226*m + 1989. Calculate the least common multiple of m and 102.
306
Suppose 1493 = s - 5*s - z, 4*z = -2*s - 736. Let y be (3*(-6)/54)/(2/(-288)). What is the common denominator of 113/18 and -2*(s/y - -2) + 0?
36
Let i(l) = -6*l**3 + 32*l**2 + 11*l - 3. Calculate the least common multiple of i(5) and 12.
204
Let y = -428564073/2000 - -214282. Find the common denominator of 21/2500 and y.
10000
What is the common denominator of (-30)/(-1764)*-51*(-7)/18 and -43/27?
756
Let t(j) = -8*j**3 + 15*j**2 + 152*j - 15. What is the smallest common multiple of t(-7) and 40?
2400
Suppose 0 = -a - a - y - 22078, -4*a - 44132 = -4*y. Let q = -110281/10 - a. Calculate the common denominator of 95/6 and q.
30
Suppose 3*p - c - 59 - 77 = 0, -3*p + 132 = 3*c. Suppose 6*g = 5*s + g - p, s - 5*g - 13 = 0. Calculate the least common multiple of 12 and s.
24
Let q be 4 + -4 + 0 + 1*2. Suppose -q*x - w - 3*w + 84 = 0, 0 = -5*w + 5. Calculate the lowest common multiple of 32 and x.
160
Let d = -8/5412941 + -28601908748/48375453717. Let g = 4/2979 - d. Calculate the common denominator of g and -115/6.
54
Let h be (5102/(-10))/((-884)/2665). Let p = h + -1538. What is the common denominator of -89/44 and p?
748
Let r(b) = -b**3 - 18*b**2 - 28*b + 36. Let j be r(-15). Find the common denominator of (j/9928)/(6/(-292)) and -83/16.
272
Let h(x) = 400*x - 1597. Calculate the lowest common multiple of h(4) and (-3 - 39)/(6/(-4)).
84
Let h = -1372 - -43903/32. Find the common denominator of -97/1540 and h.
12320
Let x be 1/2*(8 + 2). Let u = x - -25. Suppose 27 = 2*y + y - 3*s, u = 4*y + 2*s. What is the smallest common multiple of 10 and y?
40
Suppose -q + 0*q - 30 = 2*g, 5*g = 5*q - 60. Let w = -20 - g. Calculate the lowest common multiple of 24 and (9/w)/(6/(-40)).
120
Let z be -10 + (8 - 4) - -2426. Calculate the common denominator of 18/(-30) - z/(-6075) and -89/4.
972
Suppose -27*c = 17 - 71. What is the least common multiple of 33 and ((-9)/(-3) - c)*(6 + 24)?
330
Let v be (640/(-96))/((-1)/54). Calculate the common denominator of (-1401)/v + 6 - (-2)/(-6) and (16/22)/(20/6).
440
Suppose 2976 = 5*g + 11*g. What is the common denominator of -41/26 and 1 + g/(-33) + 2?
286
Let l be (2/8)/((-7 + 6)/4). Let y = -13 + l. Calculate the least common multiple of (-1 + (-5)/3)*(y + 11) and 6.
24
Let j(v) = -v**3 + 8*v**2 - 12*v + 1. Let b be j(5). What is the common denominator of 6/b*444/198 and (0 - (-141)/(-6))*6/12?
44
Suppose 5 = 4*t - 15, 2*f + 5*t + 31 = 0. Suppose c - 2 - 24 = 0. Let v = c - f. Calculate the smallest common multiple of v and 18.
54
Suppose -3*y - 38 = 5*b - 2, -4*b - 28 = 2*y. What is the common denominator of -15/4 and (-124)/b + 5 + 3 + -9?
12
Let m be (-8 - -11) + 2 + 1 + 354. Find the common denominator of 11/72 and ((-1)/8)/(m/(-1395)).
576
What is the common denominator of -1/297 and 65/12870*2*19*1?
297
Let q be ((-13)/5)/((-3)/15). Let f be 6/(-36) + q/6. Suppose 3*k = -4*d + d + 24, 25 = f*k + 5*d. What is the smallest common multiple of k and 9?
45
Suppose -2*f + 597 = -5*t, -t - 4*f = -3*t - 242. Let j = -76 - t. What is the least common multiple of j and 8?
344
What is the least common multiple of 378 and (-4550)/(-104)*(-104)/(-65)?
1890
Let n = -3506349/244 - -28741/2. What is the common denominator of -109/36 and n?
2196
Let d = -66934 - -14993301/224. Let j = 4786/9 - 527. Calculate the common denominator of j and d.
2016
Let h = 8069/7 - 1149. What is the common denominator of h and ((-51)/(-6))/((-165)/(-66))?
35
Suppose -13*y + 8*y + 5*b = 10, -4 = -2*y + b. Suppose -4*o + 4 = -4. Calculate the least common multiple of o and y.
6
Let n = 24640 + -13392. What is the common denominator of 3/(-7) + n/4032 and 97/12?
36
Let j be ((-70)/30)/(3/(-9)). Suppose 84 - 21 = j*l. What is the lowest common multiple of 115 and l?
1035
Suppose -5*r + 2*q = 408, 3*r + 98 + 146 = q. Let u = -68 - r. Find the common denominator of ((-6)/30)/(u/(-110)) and -67/22.
66
What is the common denominator of (-2257)/(-11264) + 4/(-22) and (4532/(-132)*(-4)/10)/((-8)/5)?
3072
Calculate the lowest common multiple of (-6)/4*(30/80 - (-175)/(-40)) and 64.
192
Let g(v) = 176*v - 920. Calculate the lowest common multiple of g(10) and 14.
840
Suppose 3*l = 16 - 7. Suppose 3*q + 5*r - 30 = q, -l*q = -4*r - 91. Calculate the smallest common multiple of 15 and q.
75
Let f be 1966679/264 + (0 + -2 - -3). Let k = -7456 + f. What is the common denominator of 109/24 and k?
24
Let g = -451516 + 307030749/680. Calculate the common denominator of -61/10 and g.
680
Let w = -34650/17 + 160092/85. Let o(s) = s**3 - 10*s**2 + 3*s. Let x be o(11). Let g = w + x. Calculate the common denominator of g and 36/17.
85
Suppose -c = 2*d + 55527 + 3404, -3*d - 88413 = -4*c. Let r = -1296477/44 - d. Let n = -49/361 + 53521/8664. Find the comm