66
Let r = 625/21 - 542/21. Calculate the common denominator of r and (35/27)/((5 + -3)/2).
189
Let w = 1690930 - 3530661691/2088. Find the common denominator of -119/24 and w.
2088
Calculate the common denominator of -68/245 and (-22)/(-77)*323/(-15946).
16415
Let k = -235 + 237. Suppose 4*h - k*h = -f + 84, 3*h = -3*f + 240. Calculate the least common multiple of f and 12.
228
Suppose -16*i - 20 = -18*i. What is the common denominator of 47 and (-2)/i*(-108)/(-66)*5?
11
Let k = -188709715/4032 - -46803. Find the common denominator of k and 15/3136.
28224
Suppose -17*j + 22*j = 25. What is the common denominator of (-14)/j - -3 - 776/180 and 291/12*(-2)/12?
72
What is the common denominator of -36/3275 and (24/(-756)*-9)/(330/(-966))?
36025
Let u = -2 - -1. Let q = u + 4. Suppose 582 + 162 = 285*l - 99*l. What is the least common multiple of q and l?
12
Suppose -5*q = -2*k + 29727, 2*k = -8*q + 3*q + 29757. Let v = k - 208307/14. Find the common denominator of v and -133/216.
1512
Let u(p) = -63*p - 2102. What is the smallest common multiple of u(-34) and 110?
440
Suppose -12*i + 420 = -7*i + 37*i. Suppose -60 = -0*s - 5*s. Calculate the least common multiple of i and s.
60
Let j(f) = f**2 - 4*f - 77. Let w be j(11). Suppose -43 = -2*n + 3*q, 6*n - 5*n + 4*q - 16 = w. What is the lowest common multiple of n and 4/6 - 28/(-3)?
20
Let p be (-302)/(-90)*3396/(-8). Let a = 1424 + p. Calculate the common denominator of (((-42517)/(-714))/(-41))/(1/2 - 0) and a.
210
Let d = 8576 - 7328. What is the least common multiple of d and 32?
1248
Let c = 4659 + -10905/2. Let n = c - -9491/12. Find the common denominator of -57/8 and n.
24
Let q = -3658 - -4026. What is the smallest common multiple of 40 and q?
1840
Let z = 7831 - 7615. What is the least common multiple of z and 810?
3240
Suppose 0 = 16*b - 36*b + 15120. Calculate the least common multiple of 84 and b.
756
Let x = -601 + 629. Suppose -4*k - 6*s + 3*s = -68, 2*k + 3*s = x. What is the least common multiple of 180 and k?
180
Calculate the common denominator of 2539/198 + (-56 - -43) and 71/1100.
9900
Let l be (1 + (3 - 3))*(1 + 2). What is the lowest common multiple of 42 and (-17 - -25) + 1*l?
462
Suppose 4*f - 5*o + 204 = 0, -f - 5*o = -4*f - 148. What is the lowest common multiple of 163 and f/12*(3 - 36/8)?
1141
Let p = -659539362 + 5932556543651/8995. Let x = p + 9/1285. Calculate the common denominator of x and -41/80.
560
Let u(x) = x**3 + 92*x**2 - 190*x - 53. Calculate the smallest common multiple of 2370 and u(-94).
21330
Suppose -f + 28 = 13. Let u = 24 + -23. Calculate the smallest common multiple of f and (0 + u)*(7 - 6).
15
Let w = -13/22 - -477/770. What is the common denominator of w and 149/1110?
7770
Let k = -402 + 396. Find the common denominator of 1365/480*3/k and -27/8.
64
Let l = -59 + 61. Suppose -l*g + 258 = 3*b + 2*b, 2*b + 5*g = 120. Let a(y) = y**3 - 13*y + 10. Calculate the smallest common multiple of a(4) and b.
550
Let q(y) = 3078*y**3 - 2*y**2 - 12*y + 11. Calculate the smallest common multiple of q(1) and 6150.
6150
Suppose -2*s = -m + 67, -3*s - 4*m - 87 = -m. What is the common denominator of (-162)/s + (7 - 15) + 7 and -49/58?
464
Let s(t) = -2*t**3 + 10*t**2 + 6*t - 13. Let v be s(5). Suppose 62*f = v*f + 45. What is the least common multiple of 25 and f?
25
Suppose 222*l - 227*l = -2*h + 1254, -5*h = -l - 3227. What is the lowest common multiple of 9 and h?
5823
Let a = -33283 - -33316. Calculate the common denominator of a and 22/677.
677
Let l = 392358569/870 + -450987. Let o = 1386851/18 + -77039. Calculate the common denominator of l and o.
2610
Let a = -12165 - -12201. What is the least common multiple of a and 48?
144
Find the common denominator of -50/21 and ((-1584)/(-31185))/((-46)/12).
2415
Let f = 72973/6006 + -135/11. Calculate the common denominator of -139/5460 and f.
5460
Suppose 2*m - 2*o - 119 = -o, -5*o = 4*m - 245. Calculate the least common multiple of m and 258.
2580
Let g = 3773 - 3341. What is the lowest common multiple of g and 1008?
3024
What is the lowest common multiple of (-206)/(-515) + 83/5 and (22 - 18) + (0 - -1)?
85
Suppose 6*b - 39 = -b + 3*q, 4*b = -2*q. Let a(d) = 2*d**2 + 5*d + 4. Let p be a(-4). What is the least common multiple of (p/(-10))/((-3)/15) and b?
24
Let d be (-2*1)/((-228)/291). Let p = 847627 + -80525558/95. Let z = d + p. What is the common denominator of -37/18 and z?
90
Let u = 1340497/48 - 27930. Find the common denominator of u and 52/615.
9840
Let m(i) = 766*i**3 + 11*i**2 + 6*i. Let f be m(-9). Let l be 0 + f/(-84) - 3. Let o = l + -6636. Calculate the common denominator of o and 37/20.
140
Let v = 136771/14 + -9769. Calculate the common denominator of 53/42 and v.
42
Let s = 21012213/5780372 + -4554/1249. What is the common denominator of -27/1958 and s?
50908
Let j = 23 - 22. Suppose 2*r = -3*g - j, 14 = -2*g + 5*g - r. What is the smallest common multiple of g and (0/(-1) - -3) + (4 - 0)?
21
What is the common denominator of 157/120 and 3*(-4)/54 + 22908/(-1080) + 20?
120
Suppose -10*w + 140 = -8*w. Suppose -3*b = -5*h - 60, -3*b - w = 5*h - 8*b. Find the common denominator of -97/16 and (-156)/h*(-14)/48.
144
Calculate the lowest common multiple of 532 and 8/(-18) - (-9975)/513.
532
Let g be (-30)/40 + 11/4. Suppose t - 41 = -4*r - 0*t, -3*r + 28 = -g*t. Calculate the lowest common multiple of r and (53/2)/(1/4).
530
Suppose -196*n = -231*n + 10395. Calculate the lowest common multiple of 363 and n.
3267
Suppose -16*w = 316405 + 392059. Let g = -2302609/52 - w. What is the common denominator of 9/(-96)*26*(-2)/6 and g?
208
Let s = 67/897 + -7333109/1794. Let c = -220589/54 - s. Calculate the common denominator of (31/(-42))/(3/12) and c.
189
Suppose -16*u = -53*u - 12987. Let d = -331 - u. Let z = 32 + -16. Calculate the lowest common multiple of d and z.
80
Let a = -1 + -1. Let w(b) = -6*b**2 + 103 + 108 - 296 + 8*b**2 + 97 + 9*b. What is the lowest common multiple of 4 and w(a)?
4
Suppose 24*b - 2*y + 792 = 29*b, -180 = -b + 5*y. Let d = 2 - 3. Calculate the common denominator of (b/35 - 3) + d and 31/15.
105
Suppose -3*y = -u + 2, -3*y + 47 = 4*u + 24. Calculate the least common multiple of 1126 and u.
5630
Let n be ((-851)/(-69))/((10/12)/(-5)). Let x = 86 + n. Calculate the least common multiple of 164 and x.
492
Let s be 2/6*-3*-2. Suppose -y = -s*y - 2*y. Suppose j - 12 - 4 = y. Calculate the lowest common multiple of j and 20.
80
Let k be (-220)/35 + 8/28. Find the common denominator of -3 + (-115)/k + 0 and -23/12.
12
Suppose 10*y + 683 = 2134 + 1009. Calculate the least common multiple of 41 and y.
246
Find the common denominator of -37/490 and 7195/22050 + (640/(-144))/20.
490
Let d = 306 - 273. Calculate the common denominator of 83*-1*(-2 - (-67)/d) and 83/33.
33
Suppose 35 = -5*i + 65. Suppose -2*l - i = -12. Suppose 232 = 243*v - 235*v. What is the lowest common multiple of l and v?
87
What is the lowest common multiple of 7684 and (-25 - -21) + 48/(3 + 1)?
15368
Let l(b) = 9*b**2 + b. Let u(n) = 26*n**2 + 4*n - 2. Let x(g) = -17*l(g) + 6*u(g). Calculate the smallest common multiple of x(2) and 82.
574
Suppose f + 15 = -w + 23, 15 = 2*f + 3*w. What is the common denominator of 2/9 - (-118)/9 and 14/6 + (-144)/12 + f?
3
Let k(o) = o + 33. Suppose 8*z - 4*z + 176 = 0. Let h = z - -35. What is the smallest common multiple of k(h) and 12?
24
Suppose -3*a = -5*j + 92, 3*j = 3*a + 5 + 55. Calculate the least common multiple of (-8)/80 + (-123)/(-30) and j.
16
Suppose -2 = n - 12. Suppose -5 = 14*r - 61. Suppose -3*g - 3*m + 7*m + 72 = 0, r*g - 71 = -3*m. Calculate the lowest common multiple of n and g.
20
Let m = -2/44351 + 2706115/15611552. Find the common denominator of m and 61/32.
352
Let y = 193251/57208736 - -1/38944. Find the common denominator of -50/221 and y.
24973
Let u be (0 - 0) + -2 - -4. Let g = 84 - 69. What is the lowest common multiple of g and (3*-20)/u*-1?
30
Let a be (-24960)/(-36448) - (-2)/(-17). Let b = a - 8331/1340. What is the common denominator of b and -3/65?
260
Suppose 0 = 5*s + 17 - 2. Let m be (6/(-8))/((-8)/(-416)) + s. Find the common denominator of 8/28 - (-69)/m and 25/12.
84
Let a = 134 + -102. Let c = -2/249 - 3229/996. What is the common deno