System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=6399, |B|=2525, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 6409.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8874"
result = "493"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=7294, |B|=2523, |A∩B|=112 (compute |A∪B|), then apply gcf to the result and 14881.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9705"
result = "647"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=5701, |B|=3714, |A∩B|=41 (compute |A∪B|), then apply gcf to the result and 1853.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9374"
result = "109"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=573, |B|=373, |A∩B|=110 (compute |A∪B|), then apply gcf to the result and 2717.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "836"
result = "209"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=874, |B|=8292, |A∩B|=141 (compute |A∪B|), then apply gcf to the result and 11875.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9025"
result = "475"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=741, |B|=8854, |A∩B|=106 (compute |A∪B|), then apply gcf to the result and 79075.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9489"
result = "3163"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=6285, |B|=1128, |A∩B|=102 (compute |A∪B|), then apply gcf to the result and 70673.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7311"
result = "2437"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=561, |B|=569, |A∩B|=165 (compute |A∪B|), then apply gcf to the result and 2509.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "965"
result = "193"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=3006, |B|=2774, |A∩B|=32 (compute |A∪B|), then apply gcf to the result and 31614.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5748"
result = "2874"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=1098, |B|=988, |A∩B|=176 (compute |A∪B|), then apply gcf to the result and 2292.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1910"
result = "382"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=256, |B|=1311, |A∩B|=189 (compute |A∪B|), then apply gcf to the result and 10335.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1378"
result = "689"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=859, |B|=1287, |A∩B|=145 (compute |A∪B|), then apply gcf to the result and 10672.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2001"
result = "667"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=2748, |B|=5556, |A∩B|=163 (compute |A∪B|), then apply gcf to the result and 10467.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8141"
result = "1163"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=6571, |B|=1718, |A∩B|=159 (compute |A∪B|), then apply gcf to the result and 2981.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8130"
result = "271"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=1230, |B|=3436, |A∩B|=138 (compute |A∪B|), then apply gcf to the result and 9905.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4528"
result = "283"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=6293, |B|=446, |A∩B|=133 (compute |A∪B|), then apply gcf to the result and 5872.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6606"
result = "734"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=4586, |B|=97, |A∩B|=85 (compute |A∪B|), then apply gcf to the result and 2541.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4598"
result = "121"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=652, |B|=119, |A∩B|=111 (compute |A∪B|), then apply gcf to the result and 3696.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "660"
result = "132"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=2496, |B|=3942, |A∩B|=190 (compute |A∪B|), then apply gcf to the result and 22152.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6248"
result = "568"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=3333, |B|=5082, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 7794.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8227"
result = "433"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=230, |B|=1177, |A∩B|=73 (compute |A∪B|), then apply gcf to the result and 14007.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1334"
result = "667"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=5144, |B|=2927, |A∩B|=142 (compute |A∪B|), then apply gcf to the result and 35240.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7929"
result = "881"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=636, |B|=1257, |A∩B|=190 (compute |A∪B|), then apply gcf to the result and 3799.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1703"
result = "131"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=4552, |B|=1720, |A∩B|=154 (compute |A∪B|), then apply gcf to the result and 2622.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6118"
result = "874"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=753, |B|=1122, |A∩B|=31 (compute |A∪B|), then apply gcf to the result and 1383.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1844"
result = "461"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=4283, |B|=2412, |A∩B|=43 (compute |A∪B|), then apply gcf to the result and 54879.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6652"
result = "1663"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=1972, |B|=3302, |A∩B|=183 (compute |A∪B|), then apply gcf to the result and 27152.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5091"
result = "1697"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=1082, |B|=52, |A∩B|=36 (compute |A∪B|), then apply gcf to the result and 3477.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1098"
result = "183"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=1538, |B|=2416, |A∩B|=160 (compute |A∪B|), then apply gcf to the result and 62601.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3794"
result = "1897"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=6311, |B|=685, |A∩B|=197 (compute |A∪B|), then apply gcf to the result and 19874.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6799"
result = "523"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=84, |B|=108, |A∩B|=80 (compute |A∪B|), then apply lcm to the result and 52.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "112"
result = "1456"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=198, |B|=241, |A∩B|=195 (compute |A∪B|), then apply lcm to the result and 19.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "244"
result = "4636"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=172, |B|=200, |A∩B|=157 (compute |A∪B|), then apply lcm to the result and 19.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "215"
result = "4085"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=198, |B|=80, |A∩B|=28 (compute |A∪B|), then apply lcm to the result and 9.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "250"
result = "2250"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=217, |B|=101, |A∩B|=79 (compute |A∪B|), then apply lcm to the result and 28.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "239"
result = "6692"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=164, |B|=586, |A∩B|=43 (compute |A∪B|), then apply lcm to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "707"
result = "2828"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=473, |B|=538, |A∩B|=123 (compute |A∪B|), then apply lcm to the result and 27.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "888"
result = "7992"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=205, |B|=209, |A∩B|=104 (compute |A∪B|), then apply lcm to the result and 48.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "310"
result = "7440"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=299, |B|=495, |A∩B|=83 (compute |A∪B|), then apply lcm to the result and 72.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "711"
result = "5688"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=141, |B|=53, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 25.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "161"
result = "4025"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=159, |B|=359, |A∩B|=54 (compute |A∪B|), then apply lcm to the result and 20.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "464"
result = "2320"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=148, |B|=924, |A∩B|=116 (compute |A∪B|), then apply lcm to the result and 28.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "956"
result = "6692"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=878, |B|=167, |A∩B|=130 (compute |A∪B|), then apply lcm to the result and 30.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "915"
result = "1830"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=300, |B|=323, |A∩B|=30 (compute |A∪B|), then apply lcm to the result and 14.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "593"
result = "8302"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=279, |B|=727, |A∩B|=98 (compute |A∪B|), then apply lcm to the result and 24.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "908"
result = "5448"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=219, |B|=105, |A∩B|=27 (compute |A∪B|), then apply lcm to the result and 14.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "297"
result = "4158"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=414, |B|=493, |A∩B|=122 (compute |A∪B|), then apply lcm to the result and 60.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "785"
result = "9420"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=219, |B|=193, |A∩B|=105 (compute |A∪B|), then apply lcm to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "307"
result = "2456"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=325, |B|=400, |A∩B|=50 (compute |A∪B|), then apply lcm to the result and 14.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "675"
result = "9450"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=306, |B|=871, |A∩B|=183 (compute |A∪B|), then apply lcm to the result and 21.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "994"
result = "2982"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=545, |B|=76, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 6.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "587"
result = "3522"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=546, |B|=477, |A∩B|=48 (compute |A∪B|), then apply lcm to the result and 90.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "975"
result = "5850"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=287, |B|=348, |A∩B|=26 (compute |A∪B|), then apply lcm to the result and 14.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "609"
result = "1218"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=314, |B|=339, |A∩B|=169 (compute |A∪B|), then apply lcm to the result and 24.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "484"
result = "2904"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=52, |B|=130, |A∩B|=36 (compute |A∪B|), then apply lcm to the result and 74.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "146"
result = "5402"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=229, |B|=933, |A∩B|=177 (compute |A∪B|), then apply lcm to the result and 40.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "985"
result = "7880"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=635, |B|=237, |A∩B|=67 (compute |A∪B|), then apply lcm to the result and 60.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "805"
result = "9660"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=460, |B|=408, |A∩B|=197 (compute |A∪B|), then apply lcm to the result and 66.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "671"
result = "4026"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=347, |B|=242, |A∩B|=78 (compute |A∪B|), then apply lcm to the result and 19.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "511"
result = "9709"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=319, |B|=212, |A∩B|=51 (compute |A∪B|), then apply lcm to the result and 26.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "480"
result = "6240"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=294, |B|=301, |A∩B|=196 (compute |A∪B|), then apply lcm to the result and 76.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "399"
result = "1596"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=106, |B|=847, |A∩B|=62 (compute |A∪B|), then apply lcm to the result and 77.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "891"
result = "6237"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=108, |B|=328, |A∩B|=88 (compute |A∪B|), then apply lcm to the result and 80.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "348"
result = "6960"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=356, |B|=681, |A∩B|=90 (compute |A∪B|), then apply lcm to the result and 6.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "947"
result = "5682"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=527, |B|=543, |A∩B|=133 (compute |A∪B|), then apply lcm to the result and 10.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "937"
result = "9370"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=302, |B|=232, |A∩B|=179 (compute |A∪B|), then apply lcm to the result and 65.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "355"
result = "4615"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=329, |B|=419, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 6.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "562"
result = "1686"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=148, |B|=164, |A∩B|=143 (compute |A∪B|), then apply lcm to the result and 40.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "169"
result = "6760"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=147, |B|=921, |A∩B|=141 (compute |A∪B|), then apply lcm to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "927"
result = "1854"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=257, |B|=243, |A∩B|=117 (compute |A∪B|), then apply lcm to the result and 20.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "383"
result = "7660"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=735, |B|=412, |A∩B|=181 (compute |A∪B|), then apply lcm to the result and 92.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "966"
result = "1932"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=217, |B|=100, |A∩B|=25 (compute |A∪B|), then apply lcm to the result and 88.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "292"
result = "6424"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=285, |B|=447, |A∩B|=152 (compute |A∪B|), then apply lcm to the result and 52.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "580"
result = "7540"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=642, |B|=225, |A∩B|=74 (compute |A∪B|), then apply lcm to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "793"
result = "6344"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=415, |B|=694, |A∩B|=166 (compute |A∪B|), then apply lcm to the result and 92.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "943"
result = "3772"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=243, |B|=134, |A∩B|=32 (compute |A∪B|), then apply lcm to the result and 36.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "345"
result = "4140"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=164, |B|=206, |A∩B|=160 (compute |A∪B|), then apply lcm to the result and 43.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "210"
result = "9030"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=340, |B|=159, |A∩B|=145 (compute |A∪B|), then apply lcm to the result and 56.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "354"
result = "9912"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=112, |B|=164, |A∩B|=32 (compute |A∪B|), then apply lcm to the result and 42.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "244"
result = "5124"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=450, |B|=498, |A∩B|=31 (compute |A∪B|), then apply lcm to the result and 70.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "917"
result = "9170"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=692, |B|=422, |A∩B|=132 (compute |A∪B|), then apply lcm to the result and 20.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "982"
result = "9820"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=152, |B|=51, |A∩B|=25 (compute |A∪B|), then apply lcm to the result and 62.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "178"
result = "5518"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=335, |B|=304, |A∩B|=89 (compute |A∪B|), then apply lcm to the result and 99.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "550"
result = "4950"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=542, |B|=237, |A∩B|=190 (compute |A∪B|), then apply lcm to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "589"
result = "1178"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=534, |B|=447, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 9.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "795"
result = "2385"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=450, |B|=352, |A∩B|=120 (compute |A∪B|), then apply lcm to the result and 55.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "682"
result = "3410"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=263, |B|=95, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 19.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "324"
result = "6156"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=479, |B|=609, |A∩B|=152 (compute |A∪B|), then apply lcm to the result and 56.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "936"
result = "6552"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=228, |B|=279, |A∩B|=162 (compute |A∪B|), then apply lcm to the result and 13.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "345"
result = "4485"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=175, |B|=423, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 27.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "564"
result = "5076"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=210, |B|=203, |A∩B|=185 (compute |A∪B|), then apply lcm to the result and 31.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "228"
result = "7068"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=282, |B|=206, |A∩B|=107 (compute |A∪B|), then apply lcm to the result and 42.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "381"
result = "5334"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=702, |B|=341, |A∩B|=89 (compute |A∪B|), then apply lcm to the result and 45.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "954"
result = "4770"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=151, |B|=86, |A∩B|=67 (compute |A∪B|), then apply lcm to the result and 30.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "170"
result = "510"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=123, |B|=306, |A∩B|=63 (compute |A∪B|), then apply lcm to the result and 15.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "366"
result = "1830"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=372, |B|=552, |A∩B|=99 (compute |A∪B|), then apply lcm to the result and 27.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "825"
result = "7425"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=154, |B|=176, |A∩B|=150 (compute |A∪B|), then apply lcm to the result and 44.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "180"
result = "1980"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=656, |B|=421, |A∩B|=158 (compute |A∪B|), then apply lcm to the result and 9.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "919"
result = "8271"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=256, |B|=278, |A∩B|=173 (compute |A∪B|), then apply lcm to the result and 9.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "361"
result = "3249"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=227, |B|=768, |A∩B|=103 (compute |A∪B|), then apply lcm to the result and 24.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "892"
result = "5352"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=334, |B|=91, |A∩B|=55 (compute |A∪B|), then apply lcm to the result and 40.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "370"
result = "1480"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=728, |B|=296, |A∩B|=119 (compute |A∪B|), then apply lcm to the result and 35.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "905"
result = "6335"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=701, |B|=204, |A∩B|=39 (compute |A∪B|), then apply lcm to the result and 20.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "866"
result = "8660"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=526, |B|=215, |A∩B|=156 (compute |A∪B|), then apply lcm to the result and 20.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "585"
result = "2340"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=229, |B|=443, |A∩B|=136 (compute |A∪B|), then apply lcm to the result and 24.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "536"
result = "1608"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=220, |B|=502, |A∩B|=151 (compute |A∪B|), then apply lcm to the result and 3.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "571"
result = "1713"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=455, |B|=271, |A∩B|=115 (compute |A∪B|), then apply lcm to the result and 26.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "611"
result = "1222"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=549, |B|=342, |A∩B|=54 (compute |A∪B|), then apply lcm to the result and 11.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "837"
result = "9207"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=797, |B|=256, |A∩B|=182 (compute |A∪B|), then apply lcm to the result and 39.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "871"
result = "2613"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=130, |B|=866, |A∩B|=63 (compute |A∪B|), then apply lcm to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "933"
result = "3732"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=902, |B|=61, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 25.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "930"
result = "4650"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=228, |B|=153, |A∩B|=38 (compute |A∪B|), then apply lcm to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "343"
result = "2744"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=173, |B|=353, |A∩B|=122 (compute |A∪B|), then apply lcm to the result and 10.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "404"
result = "2020"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=144, |B|=177, |A∩B|=123 (compute |A∪B|), then apply lcm to the result and 39.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "198"
result = "2574"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=191, |B|=260, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 11.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "265"
result = "2915"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=461, |B|=250, |A∩B|=56 (compute |A∪B|), then apply lcm to the result and 14.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "655"
result = "9170"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=210, |B|=305, |A∩B|=82 (compute |A∪B|), then apply lcm to the result and 23.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "433"
result = "9959"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=347, |B|=45, |A∩B|=23 (compute |A∪B|), then apply lcm to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "369"
result = "1476"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=235, |B|=213, |A∩B|=196 (compute |A∪B|), then apply lcm to the result and 87.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "252"
result = "7308"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=176, |B|=122, |A∩B|=91 (compute |A∪B|), then apply lcm to the result and 26.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "207"
result = "5382"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=430, |B|=249, |A∩B|=77 (compute |A∪B|), then apply lcm to the result and 22.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "602"
result = "6622"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=318, |B|=216, |A∩B|=139 (compute |A∪B|), then apply lcm to the result and 45.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "395"
result = "3555"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=570, |B|=448, |A∩B|=185 (compute |A∪B|), then apply lcm to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "833"
result = "3332"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=329, |B|=401, |A∩B|=156 (compute |A∪B|), then apply lcm to the result and 77.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "574"
result = "6314"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=572, |B|=516, |A∩B|=140 (compute |A∪B|), then apply lcm to the result and 72.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "948"
result = "5688"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=176, |B|=622, |A∩B|=161 (compute |A∪B|), then apply lcm to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "637"
result = "1274"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=325, |B|=168, |A∩B|=148 (compute |A∪B|), then apply lcm to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "345"
result = "2760"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=478, |B|=117, |A∩B|=92 (compute |A∪B|), then apply lcm to the result and 13.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "503"
result = "6539"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=164, |B|=481, |A∩B|=82 (compute |A∪B|), then apply lcm to the result and 6.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "563"
result = "3378"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=143, |B|=313, |A∩B|=90 (compute |A∪B|), then apply lcm to the result and 5.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "366"
result = "1830"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=144, |B|=483, |A∩B|=122 (compute |A∪B|), then apply lcm to the result and 14.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "505"
result = "7070"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=538, |B|=67, |A∩B|=49 (compute |A∪B|), then apply lcm to the result and 40.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "556"
result = "5560"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=137, |B|=845, |A∩B|=63 (compute |A∪B|), then apply lcm to the result and 10.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "919"
result = "9190"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=138, |B|=106, |A∩B|=75 (compute |A∪B|), then apply lcm to the result and 7.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "169"
result = "1183"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=273, |B|=298, |A∩B|=160 (compute |A∪B|), then apply lcm to the result and 15.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "411"
result = "2055"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=811, |B|=48, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 9.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "826"
result = "7434"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=97, |B|=72, |A∩B|=24 (compute |A∪B|), then apply lcm to the result and 27.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "145"
result = "3915"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=116, |B|=226, |A∩B|=85 (compute |A∪B|), then apply lcm to the result and 12.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "257"
result = "3084"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=56, |B|=169, |A∩B|=36 (compute |A∪B|), then apply lcm to the result and 19.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "189"
result = "3591"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=264, |B|=282, |A∩B|=116 (compute |A∪B|), then apply lcm to the result and 17.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "430"
result = "7310"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=748, |B|=307, |A∩B|=114 (compute |A∪B|), then apply lcm to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "941"
result = "7528"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=961, |B|=90, |A∩B|=62 (compute |A∪B|), then apply lcm to the result and 5.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "989"
result = "4945"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=748, |B|=221, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 68.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "935"
result = "3740"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=236, |B|=298, |A∩B|=179 (compute |A∪B|), then apply lcm to the result and 20.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "355"
result = "1420"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=141, |B|=152, |A∩B|=136 (compute |A∪B|), then apply lcm to the result and 16.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "157"
result = "2512"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=559, |B|=405, |A∩B|=157 (compute |A∪B|), then apply lcm to the result and 12.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "807"
result = "3228"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=578, |B|=378, |A∩B|=84 (compute |A∪B|), then apply lcm to the result and 72.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "872"
result = "7848"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=639, |B|=200, |A∩B|=121 (compute |A∪B|), then apply lcm to the result and 14.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "718"
result = "5026"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=189, |B|=467, |A∩B|=163 (compute |A∪B|), then apply lcm to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "493"
result = "986"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=113, |B|=224, |A∩B|=83 (compute |A∪B|), then apply lcm to the result and 19.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "254"
result = "4826"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=766, |B|=167, |A∩B|=71 (compute |A∪B|), then apply lcm to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "862"
result = "1724"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=772, |B|=254, |A∩B|=86 (compute |A∪B|), then apply lcm to the result and 50.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "940"
result = "4700"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=336, |B|=212, |A∩B|=153 (compute |A∪B|), then apply lcm to the result and 13.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "395"
result = "5135"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=614, |B|=378, |A∩B|=180 (compute |A∪B|), then apply lcm to the result and 42.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "812"
result = "2436"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=858, |B|=325, |A∩B|=200 (compute |A∪B|), then apply lcm to the result and 10.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "983"
result = "9830"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=240, |B|=943, |A∩B|=200 (compute |A∪B|), then apply lcm to the result and 3.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "983"
result = "2949"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=391, |B|=526, |A∩B|=174 (compute |A∪B|), then apply lcm to the result and 11.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "743"
result = "8173"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=344, |B|=474, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 3.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "632"
result = "1896"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=153, |B|=806, |A∩B|=120 (compute |A∪B|), then apply lcm to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "839"
result = "1678"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=182, |B|=176, |A∩B|=172 (compute |A∪B|), then apply lcm to the result and 41.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "186"
result = "7626"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=233, |B|=214, |A∩B|=124 (compute |A∪B|), then apply lcm to the result and 57.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "323"
result = "969"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=285, |B|=543, |A∩B|=102 (compute |A∪B|), then apply lcm to the result and 15.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "726"
result = "3630"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=266, |B|=488, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 12.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "721"
result = "8652"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=141, |B|=274, |A∩B|=118 (compute |A∪B|), then apply lcm to the result and 57.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "297"
result = "5643"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=650, |B|=186, |A∩B|=152 (compute |A∪B|), then apply lcm to the result and 14.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "684"
result = "4788"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=308, |B|=536, |A∩B|=185 (compute |A∪B|), then apply lcm to the result and 9.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "659"
result = "5931"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=351, |B|=363, |A∩B|=91 (compute |A∪B|), then apply lcm to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "623"
result = "2492"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=695, |B|=257, |A∩B|=103 (compute |A∪B|), then apply lcm to the result and 21.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "849"
result = "5943"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=548, |B|=385, |A∩B|=176 (compute |A∪B|), then apply lcm to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "757"
result = "3028"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=617, |B|=325, |A∩B|=182 (compute |A∪B|), then apply lcm to the result and 72.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "760"
result = "6840"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=467, |B|=495, |A∩B|=173 (compute |A∪B|), then apply lcm to the result and 27.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "789"
result = "7101"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=513, |B|=101, |A∩B|=39 (compute |A∪B|), then apply lcm to the result and 6.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "575"
result = "3450"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=661, |B|=285, |A∩B|=138 (compute |A∪B|), then apply lcm to the result and 18.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "808"
result = "7272"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=123, |B|=334, |A∩B|=26 (compute |A∪B|), then apply lcm to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "431"
result = "862"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=131, |B|=84, |A∩B|=67 (compute |A∪B|), then apply lcm to the result and 5.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "148"
result = "740"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=508, |B|=597, |A∩B|=199 (compute |A∪B|), then apply lcm to the result and 48.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "906"
result = "7248"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=201, |B|=81, |A∩B|=79 (compute |A∪B|), then apply lcm to the result and 33.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "203"
result = "6699"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=99, |B|=92, |A∩B|=68 (compute |A∪B|), then apply lcm to the result and 99.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "123"
result = "4059"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=754, |B|=202, |A∩B|=82 (compute |A∪B|), then apply lcm to the result and 20.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "874"
result = "8740"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=312, |B|=242, |A∩B|=146 (compute |A∪B|), then apply lcm to the result and 19.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "408"
result = "7752"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=411, |B|=205, |A∩B|=156 (compute |A∪B|), then apply lcm to the result and 26.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "460"
result = "5980"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=292, |B|=167, |A∩B|=108 (compute |A∪B|), then apply lcm to the result and 99.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "351"
result = "3861"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=756, |B|=374, |A∩B|=173 (compute |A∪B|), then apply lcm to the result and 66.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "957"
result = "1914"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=446, |B|=719, |A∩B|=187 (compute |A∪B|), then apply lcm to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "978"
result = "3912"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=206, |B|=264, |A∩B|=89 (compute |A∪B|), then apply lcm to the result and 10.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "381"
result = "3810"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=278, |B|=504, |A∩B|=67 (compute |A∪B|), then apply lcm to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "715"
result = "5720"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=147, |B|=447, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 3.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "560"
result = "1680"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=159, |B|=437, |A∩B|=131 (compute |A∪B|), then apply lcm to the result and 51.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "465"
result = "7905"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=307, |B|=243, |A∩B|=65 (compute |A∪B|), then apply lcm to the result and 60.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "485"
result = "5820"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=390, |B|=431, |A∩B|=86 (compute |A∪B|), then apply lcm to the result and 77.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "735"
result = "8085"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=183, |B|=529, |A∩B|=111 (compute |A∪B|), then apply lcm to the result and 3.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "601"
result = "1803"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=354, |B|=305, |A∩B|=161 (compute |A∪B|), then apply lcm to the result and 36.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "498"
result = "2988"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=472, |B|=354, |A∩B|=182 (compute |A∪B|), then apply lcm to the result and 13.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "644"
result = "8372"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=226, |B|=432, |A∩B|=200 (compute |A∪B|), then apply lcm to the result and 11.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "458"
result = "5038"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=335, |B|=302, |A∩B|=179 (compute |A∪B|), then apply lcm to the result and 18.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "458"
result = "4122"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=214, |B|=245, |A∩B|=109 (compute |A∪B|), then apply lcm to the result and 3.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "350"
result = "1050"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=797, |B|=205, |A∩B|=200 (compute |A∪B|), then apply lcm to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "802"
result = "3208"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=594, |B|=523, |A∩B|=190 (compute |A∪B|), then apply lcm to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "927"
result = "7416"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=481, |B|=326, |A∩B|=153 (compute |A∪B|), then apply lcm to the result and 66.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "654"
result = "7194"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=124, |B|=246, |A∩B|=66 (compute |A∪B|), then apply lcm to the result and 25.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "304"
result = "7600"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=322, |B|=312, |A∩B|=82 (compute |A∪B|), then apply lcm to the result and 30.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "552"
result = "2760"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=125, |B|=859, |A∩B|=79 (compute |A∪B|), then apply lcm to the result and 25.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "905"
result = "4525"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=679, |B|=248, |A∩B|=44 (compute |A∪B|), then apply lcm to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "883"
result = "3532"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=444, |B|=271, |A∩B|=89 (compute |A∪B|), then apply lcm to the result and 28.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "626"
result = "8764"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=154, |B|=128, |A∩B|=119 (compute |A∪B|), then apply lcm to the result and 5.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "163"
result = "815"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=575, |B|=191, |A∩B|=134 (compute |A∪B|), then apply lcm to the result and 80.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "632"
result = "6320"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=534, |B|=479, |A∩B|=146 (compute |A∪B|), then apply lcm to the result and 18.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "867"
result = "5202"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=246, |B|=332, |A∩B|=156 (compute |A∪B|), then apply lcm to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "422"
result = "1688"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=170, |B|=459, |A∩B|=132 (compute |A∪B|), then apply lcm to the result and 20.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "497"
result = "9940"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=270, |B|=159, |A∩B|=118 (compute |A∪B|), then apply lcm to the result and 12.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "311"
result = "3732"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply venn to the sets |A|=443, |B|=605, |A∩B|=200 (compute |A∪B|), then apply lcm to the result and 14.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "848"
result = "5936"