129 + 5609009/690. What is the common denominator of -53/483 and a?
4830
Let v = 21 + -9. Suppose -15*p = -13*p + 76. Find the common denominator of p and (4/v)/((-7)/177).
7
Let q be 71726/(-160) - ((-4)/(-10))/1. Suppose 0 = 114*c - 117*c + 1350. Let o = c + q. What is the common denominator of o and -89/16?
16
Let i be (-2833965)/249144 + 9/((-18)/(-4)). Let k = -2/10381 + i. Let m = 42/83 + -2501/1826. What is the common denominator of k and m?
88
Let j = 58 + -54. Suppose -5*z + 15 = 0, y = j*y - 2*z - 30. What is the smallest common multiple of (-16)/3*(-63)/14 and y?
24
What is the common denominator of -27/4 and (-76601)/(-305784) - (-2)/(-9)?
1096
Find the common denominator of (20/28)/((-6)/(-27)) and -8 + 6 - (4 - (-82)/6).
42
Let x = -47 + 51. Let r be 1/2 + ((-50)/x)/(-5). Suppose -4*y + 60 = -r*g, 86 = 5*y - 0*y - g. Calculate the smallest common multiple of 30 and y.
90
Let o = -908009 - -1280292619/1410. What is the common denominator of o and 59/60?
2820
Suppose -p - 9 + 2 = 0. Let x = 21 + p. Suppose 2*s - 64 = -3*o + 3*s, -2*o + 4*s + 56 = 0. Calculate the lowest common multiple of x and o.
140
Let c = 16/119 - 235672/3927. Let s = -435/11 - c. Find the common denominator of 3/97 and s.
291
Let u = 170405/26 - 32767/5. What is the common denominator of -9/2 and u?
130
Suppose -29*s + 180 = 5*d - 24*s, -5*d + 177 = 2*s. What is the smallest common multiple of 360 and d?
2520
Let j(q) = -q**3 + q**2 - 3*q + 12. Let c be ((-20)/6 + 2)*-96. Calculate the smallest common multiple of c/56 + 2/(-7) and j(0).
12
Let q = 3033 + -2403. Calculate the least common multiple of 180 and q.
1260
Suppose -5*u = -17 - 13. Let b be (-19)/38 + 9/2. Suppose -7*f + 6*f = -4*h + 72, -h + b*f = -18. Calculate the least common multiple of h and u.
18
Calculate the least common multiple of ((-34602)/(-79))/(-4 - (-1094)/272) and 14.
138992
Let p(j) = -j + 6. Suppose -4*z = -5*d - 49 + 31, -d = -2. Calculate the lowest common multiple of z and p(-5).
77
Suppose 7*i + 29*i = 72. What is the common denominator of i/(-30)*(-188)/(-141) and 88/15?
45
Find the common denominator of 6307/588 - (-552)/(-483) and -61/94.
564
Suppose -5*r - 282432 = 6*h - 2*h, 2*r + 2*h + 112974 = 0. Let x = r + 3727825/66. Calculate the common denominator of 57/16 and x.
528
Let d = -5 - -12. Let f(u) = -u**2 + 14*u - 16. Let o be f(d). Let x = 41 - o. Calculate the least common multiple of x and 6.
24
Suppose -1560 = -4*v + 30*v. What is the common denominator of -5/18 and -1 - (850/v + 2/1)?
18
Calculate the common denominator of 20/147*490/(-196)*48/(-50) and -37/217.
1519
Find the common denominator of 2 - (11 - (-30355)/(-3432)) and -109/18.
792
Find the common denominator of 7 + 9/(216/(-15)) and 17/48.
48
Let p = 210 + -363. Let l(o) = o**3 - 3*o**2 - 3*o + 4. Let k be l(3). Calculate the common denominator of (p/32)/(-1 + k/(-2)) and -91/18.
144
Let m be (-11)/((-22)/(-3))*2. Let l(s) = s**3 + 5*s**2 - s - 3. Let j be l(-4). Let c = m + j. Calculate the lowest common multiple of 6 and c.
42
Let l(b) = -b**2 + b + 17. Let o be l(-4). Calculate the common denominator of o/((-9)/(-426))*(-21)/(-84) and (-42)/(-64)*15/28.
128
Let c(i) = i**2 + 27*i - 196. Calculate the least common multiple of c(6) and 416.
416
Let j = 584 - 560. Find the common denominator of 188/j - (10 - 4) and 23/117.
234
Let n be (-18)/30*(5 - 680/12). Let h = 9 - -24. Suppose h*y - 18 = n*y. What is the lowest common multiple of 8 and y?
72
Suppose 33 = -12*r + 9. What is the smallest common multiple of 64 and (-14)/r + 53 - -4?
64
Find the common denominator of ((-972126)/(-61974) - 15) + 6/(-11) and -111/10.
3130
Suppose 78*l - 75*l = 54. Let r = l + 36. Calculate the lowest common multiple of 60 and r.
540
Let c = -2552915/5421096 - 1/126072. Calculate the common denominator of 39/92 and c.
3956
Suppose -50*s = -5*q - 46*s - 30, 25 = -4*q + 3*s. Calculate the lowest common multiple of (-5184)/(-15) - 4/q and 20.
3460
Suppose -3*c + 118 = 4*s, c - 4 = -6. Let z(d) = -13*d**2 - 2*d + 2. Let b be z(1). Let q = b + s. What is the smallest common multiple of q and 22?
198
Suppose 22 = -4*p - 106. Let y = p + 67. What is the smallest common multiple of 40 and y?
280
What is the common denominator of ((-16)/(-320))/(8/(-185)) and 71/80?
160
Let c(m) = 35*m**2 - 234*m - 51. Let l(j) = -7*j**2 + 47*j + 10. Let a(v) = -2*c(v) - 11*l(v). Calculate the lowest common multiple of a(8) and 20.
240
Let y be (-2 + (45/10 - 2))*24. What is the least common multiple of 99/y*(1 + 25/3) and 28?
308
Suppose -4*h + 7*h - 495 = 0. Calculate the least common multiple of 120 and h.
1320
Let s be 2/9 + 5815/(-45) + 1. What is the common denominator of (606/s)/(-27*3/36) and -101/12?
48
Suppose -2*i = 3*i - 70. Suppose -35*j - 9289 = -130*j - 2639. Calculate the lowest common multiple of i and j.
70
What is the least common multiple of 34 and 12/24*(47 + -3)?
374
Suppose 25307*u + 544 = 25324*u. What is the least common multiple of 52 and u?
416
Let d = 543 - 1164. Let r = 4629 + -74121/16. Calculate the common denominator of r and (5 - (d/14)/(-9))*-37.
112
Suppose 3*b - 12*t = -10*t - 607, 997 = -5*b - 4*t. Let g = 343 + b. What is the least common multiple of g and 10?
710
Suppose 12*k - 96 = -36. Suppose 300 = 3*d + k*b, 2*d - 3*b + 28 - 209 = 0. Calculate the lowest common multiple of 50 and d.
950
Suppose 0 = 7*x - 14 - 7. Suppose 337 = -0*m + x*m + 4*g, g - 112 = -m. Suppose 11*w - 353 = -m. What is the least common multiple of 22 and w?
22
Let g = -3591 + 7241/2. What is the common denominator of g and 89/1064?
1064
Let s = 31 - 132. What is the common denominator of (273/140 - 2)*s/3 and -23/30?
60
Suppose 13*q - 270 + 76 = 482. What is the smallest common multiple of 904 and q?
11752
Let v = 241 - 250. Let m(h) = -h**3 - 9*h**2 - h + 36. What is the lowest common multiple of 18 and m(v)?
90
Find the common denominator of (15/240)/((-88)/48) and 21/44.
88
Let d(c) = 9*c + 32. Let i be d(-13). Let y = -199 + 136. Let j = y - i. What is the least common multiple of j and 32?
352
Find the common denominator of 0 + (-9)/(-18)*151/6 and (249/(-12) - -3) + -3.
12
Let z = -451 + 669. Let j = 151 - z. Let k = -64 - j. What is the least common multiple of k and 10?
30
Suppose -q - 5 = -3, 0 = 3*u - 3*q - 87. Suppose 18 - u = -r. What is the common denominator of 38/3 and (433/45)/1 - 2/r?
15
Suppose 0 = -2*o + 11 + 29. Calculate the common denominator of (-2)/16*5/o and 1 + 7 - 209/152.
32
Let h = -19407439/568 - -34168. Calculate the common denominator of h and -131/30.
8520
Suppose -5*q = -3*m + 218, 10*m - 14*m + 268 = -q. Calculate the least common multiple of m and 18.
198
What is the lowest common multiple of ((-150)/(-4))/((-15)/(-60)) and 120?
600
Let t = 7251165/59 + -122898. Let b = -626645/201957 + t. Let r = b - -256789/54768. Find the common denominator of r and 3/40.
80
Let m(u) = -30*u**3 + 2*u**2 + 78*u + 370. Calculate the least common multiple of 540 and m(-5).
3780
Let b = -126 - 990. Let g = b - -8893/8. What is the common denominator of g and 49/20?
40
Let o = 203437831/5912 - 34411. Let z = o - 14727/313336. What is the common denominator of 39/10 and z?
530
Let l = 267/11 + -4247/165. Let d = -4986/13 + 274581/715. What is the common denominator of d and l?
165
Suppose 0 = -355*r - 89*r + 99967 + 197513. What is the lowest common multiple of r and 7370?
7370
Let j(m) = -12*m - 5. Let k be j(-7). Let g = k + -55. Suppose -3*y = -3*r - 30, -5*r = y - r + 10. Calculate the smallest common multiple of y and g.
24
Let w = 205888486/917 - 224524. Find the common denominator of w and -56/393.
2751
Suppose -5*z - 1428*d + 3812 = -1424*d, -z + 775 = 5*d. Calculate the lowest common multiple of 2 and z.
760
Let k(b) = 403*b + 52. What is the smallest common multiple of 52 and k(1)?
1820
Let o = -5925 + 5940. What is the smallest common multiple of (-5)/(-5)*(62 - -1) and o?
315
Let t be -3*7/42 + (-2450)/(-258). Let p = t - -122/43. Find the common denominator of -113/12 and p.
12
Calculate the common denominator of (-9 - (58340/(-4830) - -8)) + 1 + 4 and 16/27.
4347
Let h(o) = 354*o - 90. Let g be h(5). Find the common denominator of (-12)/(-21) - (-1077)/g and 145/72.
720
Let n = -24384 - -1462969/60. Ca