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|=383, |B|=132, |A∩B|=22 (compute |A∪B|), then apply lcm to the result and 11.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "493"
result = "5423"


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|=402, |B|=291, |A∩B|=43 (compute |A∪B|), then apply lcm to the result and 78.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "650"
result = "1950"


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|=211, |B|=596, |A∩B|=196 (compute |A∪B|), then apply lcm to the result and 6.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "611"
result = "3666"


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|=81, |B|=82, |A∩B|=22 (compute |A∪B|), then apply lcm to the result and 72.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "141"
result = "3384"


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|=238, |B|=327, |A∩B|=109 (compute |A∪B|), then apply lcm to the result and 54.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "456"
result = "4104"


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|=171, |A∩B|=160 (compute |A∪B|), then apply lcm to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "181"
result = "362"


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|=275, |B|=213, |A∩B|=199 (compute |A∪B|), then apply lcm to the result and 5.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "289"
result = "1445"


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|=134, |B|=134, |A∩B|=107 (compute |A∪B|), then apply lcm to the result and 38.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "161"
result = "6118"


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|=223, |B|=314, |A∩B|=54 (compute |A∪B|), then apply lcm to the result and 36.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "483"
result = "5796"


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|=448, |B|=257, |A∩B|=21 (compute |A∪B|), then apply lcm to the result and 40.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "684"
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|=381, |B|=294, |A∩B|=135 (compute |A∪B|), then apply lcm to the result and 85.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "540"
result = "9180"


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|=406, |B|=130, |A∩B|=48 (compute |A∪B|), then apply lcm to the result and 32.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "488"
result = "1952"


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|=323, |B|=201, |A∩B|=175 (compute |A∪B|), then apply lcm to the result and 17.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "349"
result = "5933"


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|=215, |B|=282, |A∩B|=161 (compute |A∪B|), then apply lcm to the result and 51.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "336"
result = "5712"


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|=384, |B|=112, |A∩B|=43 (compute |A∪B|), then apply lcm to the result and 60.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "453"
result = "9060"


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|=80, |B|=92, |A∩B|=38 (compute |A∪B|), then apply lcm to the result and 60.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "134"
result = "4020"


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|=315, |B|=434, |A∩B|=177 (compute |A∪B|), then apply lcm to the result and 48.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "572"
result = "6864"


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|=155, |B|=227, |A∩B|=128 (compute |A∪B|), then apply lcm to the result and 21.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "254"
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|=88, |B|=84, |A∩B|=52 (compute |A∪B|), then apply lcm to the result and 58.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "120"
result = "3480"