q + 2041. Let n = q - d. Calculate the common denominator of n and 89/28.
28
Let r = -209/16 + 185/16. Calculate the common denominator of r and 5/5032.
5032
Let x(f) = 2*f**2 - 2*f - 1. Let n be x(-1). Let y(l) = 5*l - 3. Let b = -2696 - -10867/4. Find the common denominator of b and y(n).
4
Let q = -458358137/307560 - -168/12815. Let f = q - -4477/3. What is the common denominator of f and 99/80?
240
Let k = 113757 - 31624499/278. Find the common denominator of k and -49/139.
278
Let l be ((-6 + 1)/(-10))/((-8570)/(-23099)). Let x = -2/857 - l. What is the common denominator of x and -9/5?
20
Let j be -3*6*4/(-12)*3. Let h = 23 - j. Suppose 2 = h*n - 8. What is the least common multiple of n and 12?
12
Let u be 0 - 1/(16/184023). Let y = 11505 + u. Let p = -278/83 - -78919/23240. Calculate the common denominator of y and p.
560
Let c be -5 + 49/7 + 313. Calculate the lowest common multiple of (-1)/(-4 + c/80) and 54.
432
Let p = -4504958/261 - -34521/2. Find the common denominator of p and 37/870.
2610
Let b = -17899 - -1181317/66. Calculate the common denominator of ((-1)/3)/((-20)/(-27)) and b.
660
Let c = 58620 + -9965443/170. Find the common denominator of c and -7/95.
3230
Let c = 6521/8 - 808. Find the common denominator of 78/(-273)*(-105)/(-295) and c.
472
Let z be 5340/(-100)*10/(-6). Let c = 110 - z. Calculate the smallest common multiple of c and 63.
63
Let u = 113 + -127. Calculate the common denominator of u + 14 - ((-125)/88 - -2) and 65/88.
88
What is the lowest common multiple of (-4)/(-90) - 1958467/(-40005) and 490?
490
Let b = -13 - -35. Suppose -2*s = -4*m - 76, 5*s - 112 = -1444*m + 1448*m. Calculate the smallest common multiple of s and b.
132
Suppose -v - 4*d + 5*d + 3 = 0, 4*d + 12 = -3*v. Suppose -2*i + 248 = 2*i - 4*z, v = 3*i + z - 194. Calculate the least common multiple of 16 and i.
64
Let z = 57/2 + -107/4. Let q = z - 2/5. Find the common denominator of q and 101/6.
60
Let c be 5/(15/(-4)) + (-400)/(-3). What is the common denominator of (111/(-30))/(6/(-5)) and (-15)/c*(-536)/20?
132
Suppose 3*l = -4*b - 0*b + 22, 22 = 3*b + 5*l. Let o(i) = -22*i**2 - 3*i + 7. Let t be o(b). Calculate the common denominator of t/(-36) + 1 + 0/6 and -53/10.
60
Calculate the common denominator of (-494915)/(-95200) + 16/(-280) - 5*1 and -1/120.
8160
Let h = 13/149 - 12967/13708. Find the common denominator of h and (-76)/(-22)*(-25)/(-175)*7/(-2).
1012
Let c = 12679 + -10819. Calculate the least common multiple of c and 2.
1860
Suppose -5*x - 4*a = -6, 2 = 4*x - 3*a - 9. Suppose 13*j - x*j - 198 = 0. Suppose -3*d = -4*d + 2. What is the lowest common multiple of d and j?
18
Let f = -19454 - -388991/20. Let d = 20 + -12. Calculate the common denominator of f and d/28 - 34/112.
280
Let n = -1242973/7376670 + 402/6505. What is the common denominator of n and 58/189?
1134
Let b(v) = 33*v + 49. Let d be b(-3). Calculate the common denominator of 2*33/(-10)*d/168 and 85/4.
28
Let l = -6775/584 - 7/292. Let v = -193673/12 + 16127. What is the common denominator of l and v?
24
Let s = -10633 - -7996017/752. Let p = 576082973 - 2166071993891/3760. Let i = s - p. What is the common denominator of i and 107/20?
20
Let y = -460482 - -906228653/1968. Calculate the common denominator of -79/44 and y.
21648
Let t = 194238374/525 - 369978. Find the common denominator of 3/2450 and t.
7350
Find the common denominator of -41/29 and 8*20620/366400 - ((-2)/(-5) + 0).
13282
Let y = -11 + 13. Suppose 2*q + 18 - 194 = 2*o, 3*o = -q + 108. Suppose y*r + q - 95 = 0. What is the least common multiple of 9 and r?
9
Let o = -24932127 + 548944457/22. Let w = -19898 + o. What is the common denominator of (2 - 212/(-24) - -4)/(-11) and w?
66
Let b = -4744777/104100640 - -4/92947. What is the common denominator of -39/1232 and b?
12320
What is the common denominator of 76/5049 and (-102958)/(-7344) + (-41 - -27)?
40392
What is the common denominator of -53/112 and (21/10)/(154/231)?
560
Suppose -3*t + 216 = 4*b, 0 = 3*t + t. Calculate the lowest common multiple of b and 324.
324
Find the common denominator of 51/91 and (101*(-4)/42)/((-23)/(345/100)).
910
Suppose 0 = 5*n - 18 - 337. Let r = n - 59. Calculate the smallest common multiple of 1 - (-116)/(r/3) and 18.
90
Suppose 5*l + 2*i = 4198, 0*l + 4*i - 3356 = -4*l. What is the smallest common multiple of 1 and l?
840
Let a(y) = -3*y**2 - 44*y + 860. Calculate the lowest common multiple of 344 and a(0).
1720
Suppose -93*b + 262381 = -32*b + 92923. Calculate the lowest common multiple of b and 3.
2778
Suppose 0 = -5*c - t + 53, -18 = 12*c - 14*c - 2*t. Let r = -212 - -214. Calculate the smallest common multiple of r and c.
22
Let r(l) = 16*l**2 - 2*l + 12. Let g be r(-7). Let t be ((-2)/4)/((-9)/g). Suppose 26*f - t = 21*f. What is the smallest common multiple of 45 and f?
45
Let y(d) = 25*d - 10. Suppose 49*j - 51*j = -4. Calculate the least common multiple of 150 and y(j).
600
Let a be -3*-4*(-1)/4 + 5. Suppose -g = w - 5, 0 = -a*g + 4*w - 2. Calculate the least common multiple of g and 52.
156
Let m(d) = -d**2 - 16*d - 34. Let g be m(-18). What is the common denominator of 37/14 and 62/217 + 433/g?
70
Suppose -8*q + 4*q + 8 = 0. Suppose -5*j + q*o + 115 + 191 = 0, 3*o = -9. Suppose 5*c - j = 20. Calculate the lowest common multiple of 4 and c.
16
Let j = 491099 + -151258621/308. Find the common denominator of 19/858 and j.
12012
Let l be -6*(64/(-12))/(-8). Let f be 3/(3/l) + 1575. Let t = f - 6317/4. Calculate the common denominator of t and 29/3.
12
Suppose 15*o + 14*o - 8729 = 0. Let x = -297 + o. Calculate the smallest common multiple of (-8)/(-10)*(-55)/(-2) and x.
44
Calculate the smallest common multiple of (2/2*(-2 - -176))/((-3)/(-4)) and 580.
1160
Suppose -2*c - 484 = -4*n, 3*n + 4*c - 14 = 338. What is the common denominator of 83/2 and 18/(-45) + (-482)/n?
12
Find the common denominator of (-2380)/392*1*(-20)/9975 and -13/1197.
8379
Suppose 120*f - 1535 = 11761 - 2736. Let r = -4 + 37. Calculate the smallest common multiple of r and f.
264
Let v be 48/432 - 1360/9. Find the common denominator of -6 - (6 + v/10) and -11/5.
10
Let d be 5/15 + 404/(-1158). Let t = d + -2500/579. Calculate the common denominator of (1 - (-17)/(-2))*69/(-460) and t.
24
Calculate the least common multiple of 826 and (0 - 30/(-50)) + 3537/5.
4956
Let c be (-1 + (-48)/(-45))*(-162550)/1180. Let b = c + 1/59. Find the common denominator of 3/5 and b.
30
Suppose 10 = -r + 4*q, 5*r + q = -3*q - 122. Calculate the common denominator of (-1 - 100)*(-1)/4 and 235/78 - r/143.
12
Calculate the common denominator of -37/252 and 10108/51744 - 16/168.
5544
Calculate the least common multiple of 390 and (-52)/(-6)*-6*8/((-224)/21).
390
Let s(c) = c**3 + 9*c**2 + 71*c - 462. Calculate the lowest common multiple of s(6) and 192.
4032
Let x = -169/4 + 77/2. Let t be 85/(-51) - ((-28286)/42402 - 1). Let b = 572361/155474 + t. What is the common denominator of b and x?
44
Let q = -68927899/228 + 302316. Find the common denominator of -1/104 and q.
5928
Let t(z) = -z**3 - 5*z**2 + 2*z - 8. Suppose 2*v + 9 = l, v - 6*l + 5*l = -3. What is the smallest common multiple of 6 and t(v)?
48
Let f = 4097430 - 337386483634/82341. Let b = 509321/548940 + f. Find the common denominator of 23/22 and b.
1980
Let u = 2433 - -2462. Let j be u/2 - 8/16. Let l = -58765/24 + j. What is the common denominator of l and 101/6?
24
Let a = -10/6333 + -5626/2111. Calculate the common denominator of -76/13605 and a.
13605
Calculate the common denominator of (-12)/(-45)*-5 - ((-181526)/7908)/17 and -21/8.
15816
Let a(j) = -4*j**2 - 7 - 5 + 11*j + 19 - 14*j - 3*j**3. Calculate the least common multiple of a(-2) and 49.
147
Suppose -74*w = -107*w - 115*w + 60088. What is the smallest common multiple of 42 and w?
1218
Suppose -198 = -2*p - 4*r, 4*p - 342 = 2*r + 54. Let h = -37 + p. Let k = h + -42. Calculate the least common multiple of k and 22.
220
Suppose -31 = -3*b + 35. Suppose -1062 = -3*t - 2*v, 5*t - 1117 = -2*v + 653. Let u = t + -318. Calculate the smallest common multiple of u and b.
396
Let k = 9/2 + -461/112. What is the common denominator of 91/48 and k?
336
Let s = 5759944 - 2280940117/396. Let n = -5/396 - s. What is the common denominator of n