682. What is the common denominator of -73/220 and n?
440
Let v = 1863/754 + -1449934/581711. Calculate the common denominator of -101/22 and v.
33946
Suppose v - 4*k = 215, 1075 = 2*v + 3*v + k. What is the least common multiple of 8 and v?
1720
Let n = -16529/3962 - 12/283. Let r be ((-28941)/24)/((-1)/((-6)/2085)). Let u = 14/695 + r. Find the common denominator of u and n.
140
Find the common denominator of (-291)/(-45)*(-201)/(-2278) and -41/459.
4590
Let d = -24865 - -26157. Calculate the smallest common multiple of d and 969.
3876
Let z = 149697 - 59729060/399. What is the common denominator of z and 1/72?
9576
Suppose -2*v + 4 = -0. Suppose v*q - 73 = 5*a, 5*a = a - 20. What is the smallest common multiple of q and 90?
360
Let p(b) = 41*b + 23. Let u be p(4). Let i = u - 175. What is the least common multiple of 50 and i?
300
Let x = 5497 - 4716. Calculate the least common multiple of x and 110.
7810
Suppose 0 = 1795*n - 1806*n + 11. What is the smallest common multiple of n and 3673?
3673
Calculate the common denominator of (-46)/((10/8)/(-4*3/(-816))) and -3/170.
170
Let f = -6/4555 + 3024562/31885. Let c = f + -280/3. Find the common denominator of -83/30 and c.
210
Suppose 0 = -5*b - 3810 + 4935. What is the smallest common multiple of b and 9?
225
Let u(l) = 13*l**2 - 449*l - 158. What is the lowest common multiple of u(43) and 4191?
50292
Let p be 10/((-35100)/169) + (-2)/(-4). Let b = p - -761/540. Calculate the common denominator of -13/38 and b.
684
Let t(i) = 51*i - 455. What is the least common multiple of 28 and t(13)?
1456
Let y = 41526 + -2159277/52. Let b = -3/787 - 7068/3935. Calculate the common denominator of y and b.
260
Let r be (-69)/2*1/(-3)*-12. Find the common denominator of 45/7 and 1679/r + (-2)/12.
21
Suppose -5*g + 0*g + l = -275, -g + 5*l = -55. What is the least common multiple of g and (-6)/16 - -1132*18/576?
385
What is the least common multiple of 789 and 432/336 - ((-4)/2)/(-1 + -6)?
789
Let u = 11163 - 178693/16. What is the common denominator of -13/3 and u?
48
Let v(s) = 558*s + 3. Let x be v(1). Suppose -18*j + x = 57. What is the smallest common multiple of 28 and j?
28
Let q(w) = 4*w**2 - 63*w + 5. Calculate the lowest common multiple of 279 and q(19).
7812
Let o = -153473/1152675 + 227/1962. Find the common denominator of 27/235 and o.
2350
Let k be -2*(-3 - 55/(-10)). Calculate the smallest common multiple of (-20 - -22)*(k/(-2) - -2) and 169.
1521
Suppose 12*r = -0*r + 5*r + 2926. What is the least common multiple of r and 2318?
25498
Find the common denominator of -8 + 4 + 6/(-64)*1041/(-24) and 69/160.
1280
Calculate the common denominator of -5/582 and (-18)/60 + (-47310)/(-130950).
1746
Let b = -3/233 + 19967/12582. Let v = -33313/25014 - -120/379. Find the common denominator of b and v.
594
Let f = 16597/456 + -648/19. Suppose 20 = 4*s, -4*s + 6*s = 3*d - 47. Find the common denominator of f and d/19*103/6.
24
Let n = -2061203 - -37120753/18. Let f = n - 1060. Calculate the common denominator of f and (1/(-2))/((-4)/33).
72
Let g = -26819 - -26869. Let y = 4 - 2. Calculate the smallest common multiple of g and y.
50
Let c = -3265/483 - -13/69. What is the common denominator of (0 + 124/9)*(-22)/88 and c?
63
Suppose 97*z = 98*z - 23 - 7. What is the smallest common multiple of 140 and z?
420
Let t(s) = 11*s**2 - 297*s + 64. Calculate the least common multiple of t(27) and 1880.
15040
Calculate the common denominator of ((-17)/48 + 2/6)/(26/2236) and 55/16.
48
Suppose -360 = 225*i - 243*i. What is the smallest common multiple of i and 872?
4360
Suppose 0 = -3*i - i, -3*d = 3*i + 1044. Let j = d + 491. Let z = -97 + j. Find the common denominator of z and -9/4.
4
Let l(i) = -i**2 - 42*i + 5379. What is the smallest common multiple of 200 and l(49)?
4600
Let f = 517 - 21. What is the least common multiple of 220/8 - 341/62 and f/4*(-1)/(-2)?
682
Suppose -4*h - 4*b + 4 = 0, h - 7 = -2*b + 3*b. Suppose -2*q - q - 2*x + 16 = 0, 3*x + 27 = h*q. Calculate the smallest common multiple of 72 and q.
72
Calculate the common denominator of ((-51)/21)/(21 - 23) and -89/308.
308
Let l(w) = -w**2 - 91*w - 259. Calculate the smallest common multiple of 149 and l(-3).
745
Suppose 31211*p = 31174*p + 74. Suppose -3*y + 5*u = 2*y - 2020, y - 3*u = 396. What is the smallest common multiple of p and y?
408
Let r be (1/4)/(3 + 115/(-40)). Let k(p) = 10*p**3 - 2*p**2 + 2*p + 2. Calculate the least common multiple of 36 and k(r).
468
Suppose -4*z = -9*z - d + 382, -4*z + 320 = -4*d. Let n = -74 + z. What is the lowest common multiple of 16 and (n - -1)*(14 - 13)?
16
What is the common denominator of -8 + -1 - (-4070591)/452254 and -60/77?
51898
Suppose 2*p + 7 = -3*k + 24, -9 = -3*k. Suppose 81 = -u + p*u. Calculate the smallest common multiple of 6 and u.
54
Let g be -3*(-25)/(-15)*1. What is the common denominator of g*259/(-140) + -4 and 25/129?
516
Suppose 27*y + 863 = 4481. Suppose 0 = 2*n - 4*i - y, -12*n - 5*i = -16*n + 283. Calculate the least common multiple of n and 21.
231
Suppose 3*y = -3, 4*y + 3 = -5*c + 9. Suppose -478*v = -457*v - 168. What is the least common multiple of ((-4)/2)/(c/(-8)) and v?
8
Let m = 427335/22 - 19421. Let f = 43 + -12. What is the common denominator of (((-166)/(-8))/1)/(f + -26) and m?
220
What is the common denominator of 11*544/(-2240) - 2/5 and -31/2?
14
Let m(g) = g**3 + 6*g**2 + 2*g - 5. Let u be m(-3). Let p(o) = u + 0*o - 2 - 1 + o. What is the lowest common multiple of p(-11) and 20?
20
Let k = -21918 - -920653/42. Calculate the common denominator of -5/6192 and k.
43344
Let u be (-8)/(2 + -6) + (-1562378)/369600. Let o = -1/16800 + u. Find the common denominator of o and 1/4*344/14.
154
Suppose -5*d = 5*w - 4180, 211*d = -4*w + 214*d + 3337. What is the lowest common multiple of 20 and w?
3340
Suppose 63*b = 69*b - 492. Let s = b - 19. Suppose 102 = 3*l - s. What is the lowest common multiple of 45 and l?
495
Suppose 4*u = 5*z + 2507, -3*z + 422 - 1937 = 3*u. Let i be 3 + (z/(-5))/(81/(-63)). Let r = i + 404/5. What is the common denominator of -91/10 and r?
90
Calculate the least common multiple of (-186)/(((-1972)/140 - -14)*14/4) and 93.
1860
Suppose -10 + 4 = q. Let j be q/(-19012)*(-24)/18. Let c = 17656/4753 + j. What is the common denominator of c and -19/11?
77
Let w = 3452 + -6961/2. Calculate the common denominator of -4/657 and w.
1314
What is the least common multiple of (-3 - 1)*(407/2)/(-37) and 288?
3168
Let x = -88/35 + 127/21. Let p(t) = t**3 + 26*t**2 + 26*t - 7. Let u be p(-25). Find the common denominator of (8/u)/((-289)/(-268) + -1) and x.
105
Let w be (-5)/240*-4*(2 + -6015). Let o = -503 - w. Find the common denominator of 17/20 and o.
60
Let x = 2872 + -827135/288. Find the common denominator of x and -25/16.
288
Let s = -278 + 273. Calculate the least common multiple of 96 and (3/3)/(s/(-110)).
1056
Suppose -848 = 17*g - 4656. What is the lowest common multiple of g and 112?
224
Let p be (-1030)/(-15) - (-2)/(-3). Suppose 4*d = 3*o + d - 72, 4*o + 3*d - p = 0. What is the least common multiple of 24 and o?
120
Let l = 249/10 - 143/5. Suppose -218 - 160 = -9*a. Find the common denominator of (2 - 80/12)*315/a and l.
10
Suppose -2*d - 15 = 5*v, 0 = 4*d + d. What is the common denominator of -151/96 and v/36*495/(-20)?
96
Suppose -9 - 21 = -3*q. Let n(s) = 6*s**2 - 2*s - 1. Let b be n(-1). Suppose -56 = -b*o - 14. What is the least common multiple of o and q?
30
Let c = -378541993/23 - -16455422. Let k = c - -2926. Let r = k + -185/483. Calculate the common denominator of 16/21 and r.
21
Suppose 48*n = 37*n + 9372. Suppose 3*z = 2*t - 432, -5*t + 9*t - 3*z - n = 0. What is the lowest common multiple of t and 21?
210
Let i = -3 + 15. Let x = -55 + 82. Suppose 5*o + x = 157. What is the least common multiple of o and i?
156
Suppose 0 = -12*z - 45*z - 10488. Let w = 76730879/374 + -205163. What is the common denominator of (-1434)/340 + z/(-1564) and w?
1870
Let g = -83827/48048 - -15/2288. Calculate the common denominator of 6/21 - 15/(-77) and g.
462
Let x = -86/55 - 3231/220. What is the common denominator of x and 5817/1120 - ((-2)/9 - (-564)/108)?
160
Suppose 9*x - x - 96 = 0. Let b = -156 - -222. Suppose q + b = 2*q. Calculate the lea