nd o?
308
Suppose 0*v = -2*v + 246. Suppose 0 = -2*g + b + 18, 0 = g - 2*b - 570 + 546. What is the least common multiple of g and v?
492
What is the common denominator of (-48)/(-96)*((-6)/620)/3 and 51/80?
2480
What is the common denominator of (-1)/3 + 133/(-15) and ((-291)/388)/((-66)/160)?
55
Let r = -7 + 17. What is the lowest common multiple of r and 15550/1244 + (14/4 - 2)?
70
Let v(t) = t**2 + 2*t - 1. What is the least common multiple of 84/22 - 23/(253/(-2)) and v(-3)?
4
Suppose -41 = 3*k + 5*x, 5*k = -x + 4*x - 57. What is the least common multiple of (k/8)/((-1)/6) + -3 and 30?
30
Let j = 19897/2 - 3103849/312. Calculate the common denominator of j and -97/936.
936
Let a(s) = 34*s**2 + 41*s - 39. Let z(w) = -5*w - 5. What is the lowest common multiple of a(1) and z(-7)?
180
Let z(w) = 40*w**2 + 18*w + 51. Calculate the least common multiple of z(-2) and 77.
1925
Calculate the common denominator of 4110/1755*(-3)/(-4) + 0 and 4170/108*((-22)/20 + 1).
468
Suppose -6*u + 12 = -3*u. Suppose 0 = u*y - 4, 8*d + 5*y = 3*d + 45. Calculate the least common multiple of d and 72.
72
Find the common denominator of 4/(-144)*13*3927/(-238) and ((-2)/60)/((-1)/181).
120
Suppose 0*o - 3*o - 4*a = -5, -5*a + 10 = 5*o. Let t be (-4 + o)/(2/6). Find the common denominator of t/(-18)*111 + 3/(-9) and 53/9.
18
Let x(s) = s**3 + 11*s**2 + s + 13. Let t be x(-11). Suppose t*r - 96 = 24. Calculate the least common multiple of 24 and r.
120
Let z(l) = 2*l**2 - 13*l - 119. What is the lowest common multiple of z(-7) and 6?
210
What is the common denominator of (18117/(-3960))/((-15)/(-20)) and 61/1594?
7970
Suppose 85371 = -493*s + 636*s. What is the lowest common multiple of 21 and s?
4179
Let a = -290/619 - -67097/178891. Find the common denominator of a and 77/34.
578
Let w = 11023 + -10903. Calculate the lowest common multiple of w and 14.
840
Let l = 4304/7 + -2565191/4172. Let p = l + -11891/17284. Calculate the common denominator of p and -40/9.
261
Let x(p) = p**2 + 7 - 3*p + 3 - 2*p**2 - 3. Let c be x(-4). Suppose c*z = -2*z + 135. Calculate the least common multiple of 30 and z.
270
Suppose 4835*a = 4829*a + 288. What is the lowest common multiple of a and 88?
528
Let t = -475 - -477. Let w(x) = 7*x**3 + 2*x**2 + 5*x - 6. What is the lowest common multiple of t and w(2)?
68
Let s be 1/7 - (-19632)/168. What is the common denominator of -51/11 and (-80)/(-360) + (-194)/s?
429
Let x(p) = 6*p + 2. What is the smallest common multiple of 196 and x(14)?
8428
What is the common denominator of 2 + 68/(-160)*6 and (8/((-1120)/2121))/((-48)/10)?
160
Suppose 8 = q - 2*z, -3*z = -3*q + q + 13. What is the common denominator of -6*10/8*19/6 and q/7*(-1 - (-12 - -2))?
28
Find the common denominator of 1/126 and (4/16)/1 + (14 - 230347/16380).
630
Let d(k) = k**3 + 6*k**2 + 11*k + 55. Let s be d(-9). Let n = 307 + s. What is the smallest common multiple of 320 and n?
320
Let k = 527301/20 + -26341. Let h = 227/12 - k. What is the common denominator of h and -89/75?
75
Suppose 4*d = -2 + 18. Suppose -5*x = 4*q - 244, 4*x + 148 = -2*q + d*q. What is the smallest common multiple of 42 and q?
462
Suppose 3*o = 57 - 51. Suppose 5*s = 2*z + 3*s - 10, s - 4 = -o*z. What is the smallest common multiple of z and 41?
123
Let r(k) = -3*k - 13. Let t(f) = 1. Let v(n) = -r(n) + 4*t(n). Let m be v(5). Suppose g - m = -23. What is the least common multiple of 33 and g?
99
Let q = -254479/2025042 + -1/12126. Find the common denominator of q and -19/96.
16032
Let w = -1/42395 - -2077419/2713280. Calculate the common denominator of w and -53/50.
1600
Calculate the lowest common multiple of 4 and 12/(-54) - -84556*(-8)/(-36).
37580
Let r = 9 + 12. Calculate the lowest common multiple of (-2)/(40/45*(-24)/288) and r.
189
Calculate the common denominator of -37/104 and ((-2123)/(-3))/11*(-4)/48 + 4.
936
Let m = 669221831/854 - 783632. What is the common denominator of -115/1464 and m?
10248
Let x(s) = s + 84. Let b be x(-14). Suppose -71*d + b*d + 10 = 0. What is the least common multiple of d and 8?
40
Suppose -4*r + 7*m - 9*m = 3326, 4*m + 4 = 0. Let v = -791 - r. Calculate the smallest common multiple of v and 150.
600
Find the common denominator of 52/17 and (640/676320)/((-10)/(-6)*6/330).
23953
Find the common denominator of -1*10/1 - 188/(-32) and 103/24.
24
Suppose 3*m + 48 = 5*m. Suppose 0 = -2*r - 3*x + 343 - 296, 2*x - 58 = -2*r. What is the smallest common multiple of m and r?
120
Let l(h) = 3*h**3 - 12*h**2 + 10*h + 24. What is the smallest common multiple of 60 and l(6)?
300
Let t = -991913/262 + 3786. Calculate the common denominator of -113/6 and t.
786
Suppose -43*q = -42*q + 70597307. Let y = -129334262941/1832 - q. Let v = y - 6/229. Calculate the common denominator of v and -93/34.
136
Let v = -1039/4648 - -23/83. What is the common denominator of 113/322 and v?
1288
Let k be 17/(85/10) + 332. Let d = k - 320. Calculate the least common multiple of d and 1.
14
Suppose -3*t + 4 = -8. Suppose -3*d + j = -2*j - 336, t*d - 452 = 2*j. Calculate the smallest common multiple of d and 6.
114
Let g = 20909 - 19559. Calculate the smallest common multiple of g and 36.
2700
Let x = 28436/3 - 9490. What is the common denominator of 2 - 1/((-20)/106) and x?
30
Let b = -48 - -94. Suppose -k - 2 = -b. Suppose -3*r - 25 = -49. Calculate the smallest common multiple of r and k.
88
Let d = -4247177/370 - -11479. Calculate the common denominator of -6/2035 and d.
4070
Let w be (4/(-10)*3)/((-28)/210). Suppose 20*u = w*u + 176. Suppose 3*p = -0*p + 12. Calculate the smallest common multiple of p and u.
16
Suppose -3*q + 4*h + 37 - 15 = 0, 0 = -2*q + h + 13. Let i(n) = -n**3 + 10*n**2 + 10*n - 56. Calculate the least common multiple of 28 and i(q).
1036
Let c = -73 + 443. Let s = 404/5 - 2598/35. Find the common denominator of s and -4 + c/54 + -2.
189
Suppose 4*c - 3922 = -3*b, 4*b - 2*c - 2372 = 2806. What is the smallest common multiple of 354 and b?
3894
Let b(w) = w**2 - 35*w - 30. What is the least common multiple of b(-30) and 8?
1920
Let p be ((-97443)/44)/(9 + 76/(-8)). Let u = 4428 - p. Find the common denominator of ((-255)/28)/(6/(-4)) and u.
154
Suppose -m - z = 2*z + 3, 5*z = -m - 11. Suppose 5*v + 53 = 3*d, 2*d = -68*v + 73*v + 47. Let a = m - v. Calculate the smallest common multiple of a and 18.
144
Let t be -54*(5 + (-28)/6). Calculate the common denominator of ((-45)/(-60))/(t/876) and 0 - ((-178)/36 + -1).
18
Let x = -7018 + 7218. What is the smallest common multiple of 20 and x?
200
Suppose 2*m = -m + 15. Suppose 15*v - 20 = 10*v. Suppose -5*b - v*k = -0*k - 2, -m*b = -5*k - 20. What is the lowest common multiple of 4 and b?
4
Let t = -1763201/212 - -8317. Let k = t - 9225/212. What is the common denominator of 4/((-72)/65) - 2 and k?
18
Suppose 80 = -2*h - y + 1066, y + 1954 = 4*h. Calculate the smallest common multiple of 1750 and h.
12250
Let y(b) = b**2 - 9*b + 9. Let h be y(7). Let j = -49/2 - -206/7. What is the common denominator of ((-255)/72)/h - 0/(-2) and j?
168
Let g be (4/2)/((-1)/51). What is the common denominator of 9 + 1464/52 + 2/(-13) and (g/10)/((-4)/(-5))?
4
Let u(t) = 845*t + 20. Let h be u(2). Calculate the common denominator of 34/117 and (-2 - (-14)/9)*h/(-480).
468
Let l = -1104613/77 - -14345. What is the common denominator of -1/1064 and l?
11704
Let n(z) = z**3 - 2*z - 1. Let o be n(-2). Calculate the common denominator of (o + 6)/(-36)*3/(-2) and 173/30.
120
Let s = 147143443049/13966580772 + -1314174/177719. Let k = -4/2183 + s. Calculate the common denominator of -5/21 and k.
252
Let g be (20/2)/(46/69). Suppose -c + g = 5*h, -3*h - 5*c = -2*h - 3. What is the smallest common multiple of 6 and h?
6
Let s = 262219/18 + -14566. Find the common denominator of (8/16)/((-30)/(-32)) and s.
90
Suppose 1944 - 356 = -4*p. Let y be (-1767)/(-133)*29 - 14/(-2). Let d = y + p. Calculate the common denominator of d and -1/9.
63
Suppose -930 + 95 = -39*d + 23. Let p(k) = -140*k - 2. Suppose -5*f = -2*v - 22, -20 = -0*f - 5*f. Calculate the smallest common multiple of p(v) and d.
1518
Let z = -55950 - -22324024/399. What is the common denominator of -46/147 and z?
2793
Let l be (-117)/6*((-224)/6)/8. Let o be 3 - (4 + (-3 - l)). Let j = o -