20
Calculate the common denominator of (-6)/18*(-1267)/63 - 4 and -149/612.
1836
Let c = 137566133/4077 - 33742. Let m = -61099/228312 + c. Find the common denominator of -49/24 and m.
168
Let v = 110208315 - 212922481823/1932. Let p = v - -4/483. Let h = 41573 - 3492145/84. Find the common denominator of p and h.
84
Suppose -3*j + 4*l + 41 = 0, 51*l - 18 = j + 56*l. What is the least common multiple of 151 and j?
1057
Let q = -12475/6 - -2070. Find the common denominator of 4 - ((-71240)/(-819))/20 and q.
126
Suppose 5*n - 36 = 4. Suppose 302 = n*j - 202. What is the lowest common multiple of 42 and j?
126
Let d = 2/21819231 - -14911327923005/960046164. Let s = d - 15533. Calculate the common denominator of -109/6 and s.
132
Let b = 34823/555 + -313/5. Find the common denominator of 14/27 and b.
999
Let g = 79441/6 - 13264. Find the common denominator of g and 18/521.
3126
Let l = 169 + -156. Suppose -l*g - 494 = -598. Calculate the smallest common multiple of g and 36.
72
Let r = 213133351/2037 - 104631. Calculate the common denominator of -61/9 and r.
6111
Calculate the smallest common multiple of 44 and (-11 + (-3 - -3))/(-11 + 981/90).
220
Calculate the least common multiple of (1*(-9)/(-24))/(1/(-12))*-12 and 180.
540
Suppose 0 = 20*f - 15*f - 30, 0 = -3*n + 5*f + 10242. Calculate the least common multiple of n and 28.
23968
Let s(l) = 307*l - 2748. Calculate the lowest common multiple of s(9) and 96.
480
Let g be (-1)/((-4)/(4 + 596)). Suppose -t = 9*t - g. Suppose -4*a - 5*n = -77, 4*n = 3 + 1. What is the least common multiple of t and a?
90
Suppose -3*s - 4*g = g + 4, -2 = -3*s - 2*g. Let x be (4844/(-24))/(0 + s/4). Let d = -2689/6 - x. Find the common denominator of d and -79/4.
4
Let l = 4961 - 4916. What is the smallest common multiple of l and -2 - -7 - (1 + 0)?
180
Let r be (4/10)/(3171/(-455) - -7). Let w = -139/4 + r. What is the common denominator of w and -87/44?
44
Let i = 968059/462 - 25141/12. Find the common denominator of -39/280 and i.
3080
Suppose -4*d - u + 284 + 272 = 0, 268 = 2*d + 3*u. Let h be ((-19)/(-95))/((-2)/(-1420)). Let x = 164 - h. Calculate the smallest common multiple of d and x.
1540
Let c = 64263036/37 + -1736840. Let x = -8 - -13. Find the common denominator of c and x.
37
Suppose 587*z + 132*z = 12942. What is the smallest common multiple of z and (-13)/(-4) + 1/(-4)?
18
Let o = 389261/279872 + -1/4373. Calculate the common denominator of 15/3272 and o.
26176
Let n(c) = 3*c + 53. Let m be n(14). Let w = 113 - m. What is the lowest common multiple of w and 16?
144
Calculate the common denominator of 5/40 - (3897/(-1080) + (-12)/(-3)) and 2/2109.
10545
Let q = 113641/1354850 - -8/8575. What is the common denominator of -9/20 and q?
1580
Let x = 77249 + -8730887/113. Let a = x - 3/226. What is the common denominator of a and -35/24?
24
Find the common denominator of -73/620 and (-136)/34 + (-104)/(-15) - 7.
1860
Let y = 164 + -167. What is the smallest common multiple of -20*((-12)/5)/3 and y/((-78)/(-4)) - 8374/(-1027)?
16
What is the common denominator of -17/117 and (-429)/1566*-2 - 178/267?
3393
Suppose -5*m + 44*m = 78. Suppose -r + 5 = w, -m*r + 8 = -2*w + 10. What is the smallest common multiple of r and 60?
60
Let j be 18/5*(112 + -2). Suppose 5*h - j - 214 = 0. Let p = -17868 - -17879. What is the least common multiple of h and p?
1342
Let l = -28 - -32. Suppose -l*r = 4*u - 36, -r = -2*u - 0*r + 27. Suppose 4*z + u = 0, 0*z - 4*z - 14 = -q. Calculate the lowest common multiple of 18 and q.
18
Let z = -41 - -63. Suppose 4*l = -5*k + 35, -5*l - z = -3*k - 1. Calculate the lowest common multiple of 6 and k.
42
Let x = -69 - -119. Let h = x + -28. Calculate the lowest common multiple of (-3)/(75/6 + -13) and h.
66
Let l = -2463/58 + 4986301/117392. What is the common denominator of 71/506 and l?
4048
Let t be -3*7/28 - 2235/12. Let u = t + 264. What is the least common multiple of 56 and u?
616
Let n = -175811/371780 + -4/3205. Calculate the common denominator of n and -55/24.
696
Let v(l) = -1729*l**3 - l**2 + 4*l - 2. Let y be v(1). Calculate the common denominator of 6/(-27) + 372/135 and (-8)/(y/(-332))*3.
90
Suppose 2*g - 13 - 83 = 0. Calculate the least common multiple of ((192/10)/(-3))/((-2060)/(-100) + -21) and g.
48
Let n(o) = 2*o**2 + 37*o + 17. Let g be n(-19). What is the common denominator of 8/(-84)*g/(-9) and 53/63?
63
Suppose q + 12*q - 2366 = 0. Suppose q*z - 174*z = 168. Calculate the smallest common multiple of 7 and z.
21
Let q = 7657 + -290931/38. Let z(v) = v**3 + 5*v**2 - 12*v - 21. Let w be z(-6). Find the common denominator of -1*(-10)/w*69/(-32) and q.
304
Suppose 45*n + 264 = 12*n. Calculate the least common multiple of ((-11)/(-44))/((-1)/n) and 6.
6
Suppose 35 = -17*f + 18*f. Suppose 20*i + 2940 = f*i. Calculate the smallest common multiple of i and 6.
588
Let m(v) be the second derivative of v**4/6 + 3*v**3 - 5*v**2 + 247*v. What is the smallest common multiple of m(-12) and 76?
2356
Let p = -865352623/1136 + 761754. What is the common denominator of -51/16 and p?
1136
Let k be -1*(1/(-2) - 2373/6). Suppose 2*v - k = -10*v. Calculate the smallest common multiple of 6 and v.
66
Let s = -208329 + 49999063/240. Find the common denominator of -71/144 and s.
720
Let w = -13594123/120 - -113283. Calculate the common denominator of 127/456 and w.
2280
Let u be (4 - -1)/(-5)*(-4 + -39). Suppose u = -6*k + 295. Calculate the lowest common multiple of 68 and k.
1428
Let w = 140393/12 - 11688. What is the common denominator of w and -11 - 195/(-15) - ((-332)/48)/1?
12
Let x be ((-12)/(-6))/(2/4). Suppose 23066 = x*f + 97770. Let w = f + 485503/26. What is the common denominator of -45/8 and w?
104
What is the smallest common multiple of ((-4)/(-9)*1)/((-208)/(-7488)) and 656?
656
Let b = -46879/1804 - -289/11. Let k = 745497/16 - 46594. Find the common denominator of k and b.
656
Calculate the common denominator of (-1 - (-715)/712)*1*(-370)/15 and -151/6.
1068
Let u(b) = 5*b + 89. Let c be u(-19). Calculate the common denominator of (-301)/49 - c - 316/42 and (2/(-6))/((-66)/219).
66
Let o(d) = 97*d**2 - 63*d + 164. What is the lowest common multiple of 192 and o(3)?
10176
What is the common denominator of 43/2020 and 84/3030*(8/32 - 9)?
2020
Let k = -924209/7 + 132293. Let d be 40316/14*(-1)/12. Let n = k + d. Find the common denominator of n and -99/4.
12
Suppose 13 = -18*h + 103. Suppose 0 = 4*k - 4*z - 640, h*k - 3*k - 326 = 5*z. Calculate the lowest common multiple of k and 4.
316
Calculate the common denominator of 59/572 and 3 + (75/15 - (3972/416 + -2)).
1144
Let w = 888145 + -97693617/110. Let f = -158375/33 + 14350/3. Let k = f + w. Calculate the common denominator of k and -59/20.
20
Let c(w) = -w**3 - 15*w**2 - 10*w + 13. Let g be c(-12). Let p = g + 311. Calculate the smallest common multiple of p and 22.
132
Suppose 0 = -o - 21 + 71. Calculate the smallest common multiple of (-218)/(-11) - (25974/286 + -91) and o.
100
Let l = -7987/18 - -444. Let v be 8/(-36) + (-147491)/(-36). Let n = -639299/156 + v. Calculate the common denominator of l and n.
234
Suppose 7*j + 336 = 1939. Calculate the lowest common multiple of (20/12 - 2)/(3/(-36)) and j.
916
Let q(h) = h**2 - 6*h - 4. Let f be q(8). Let b(k) = -14*k - 325. Let z be b(-23). What is the common denominator of (-2 - 16) + z/f and 27/14?
28
Let v = -1368/17 + 19883/238. Calculate the common denominator of v and 29/7208.
50456
Calculate the common denominator of 28/3 and (34/(-1224))/(6*(-301)/(-4144)).
1161
What is the common denominator of ((-4698)/(-3346020))/(16/15) and 49/11?
225632
Suppose -290*j - 319*j = 121*j - 9490. Let c(v) = -v**2 - 3*v - 1. Let o be c(-4). Let n(y) = y + 6. Calculate the lowest common multiple of j and n(o).
13
Let x = -1029785/23562 + 7286/153. Let r = x - 17/22. Find the common denominator of 5/113 and r.
791
Suppose f = -3*f + 3*i + 245, -120 = -2*f + 2*i. Let l = 56 - f. Find the common denominator of 67/8 and l/(-6)*(-1 - 0).
8
Let n be (-27)/89*(-10)/21. Let z = -143993/992439 + n. Let v = z + 33995/17523. What is the common denominator of v and -95/6?
66
Suppose -40 = -5*s - 5*b, 3*b - 24 = -5*s + 20. Suppose 2*g + 479 - 497 = 0. Calculate the least common multiple of g