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|=189, |A∩B|=83 (compute |A∪B|), then apply multiply to the result and 32.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "297"
result = "9504"


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|=1486, |B|=2335, |A∩B|=93 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3728"
result = "7456"


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|=104, |B|=657, |A∩B|=21 (compute |A∪B|), then apply multiply to the result and 10.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "740"
result = "7400"


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|=854, |B|=1843, |A∩B|=103 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2594"
result = "5188"


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|=2076, |B|=534, |A∩B|=26 (compute |A∪B|), then apply multiply to the result and 3.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2584"
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|=894, |B|=1556, |A∩B|=97 (compute |A∪B|), then apply multiply to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2353"
result = "9412"


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|=1092, |B|=1265, |A∩B|=45 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2312"
result = "4624"


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|=2091, |B|=1095, |A∩B|=78 (compute |A∪B|), then apply multiply to the result and 3.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3108"
result = "9324"


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|=368, |B|=333, |A∩B|=28 (compute |A∪B|), then apply multiply to the result and 8.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "673"
result = "5384"


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|=3114, |B|=660, |A∩B|=39 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3735"
result = "7470"


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|=68, |B|=206, |A∩B|=61 (compute |A∪B|), then apply multiply to the result and 27.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "213"
result = "5751"


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|=3680, |A∩B|=100 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3970"
result = "7940"


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|=1458, |B|=298, |A∩B|=64 (compute |A∪B|), then apply multiply to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1692"
result = "6768"


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|=2223, |B|=1241, |A∩B|=66 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3398"
result = "6796"


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|=539, |B|=2439, |A∩B|=181 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2797"
result = "5594"


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|=793, |B|=1346, |A∩B|=152 (compute |A∪B|), then apply multiply to the result and 5.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1987"
result = "9935"


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|=366, |B|=842, |A∩B|=24 (compute |A∪B|), then apply multiply to the result and 7.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1184"
result = "8288"


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|=1563, |B|=2316, |A∩B|=74 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3805"
result = "7610"


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|=1186, |B|=1506, |A∩B|=20 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2672"
result = "5344"


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|=1654, |B|=1644, |A∩B|=118 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3180"
result = "6360"


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|=160, |B|=753, |A∩B|=155 (compute |A∪B|), then apply multiply to the result and 13.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "758"
result = "9854"


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|=2219, |B|=2373, |A∩B|=191 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4401"
result = "8802"


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|=4630, |B|=543, |A∩B|=193 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4980"
result = "9960"


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|=1309, |B|=1509, |A∩B|=89 (compute |A∪B|), then apply multiply to the result and 3.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2729"
result = "8187"


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|=1422, |B|=3473, |A∩B|=133 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4762"
result = "9524"


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|=3688, |B|=970, |A∩B|=157 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4501"
result = "9002"


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|=4425, |B|=656, |A∩B|=156 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4925"
result = "9850"


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|=804, |B|=2965, |A∩B|=183 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3586"
result = "7172"


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|=2766, |B|=1958, |A∩B|=130 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4594"
result = "9188"


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|=459, |B|=774, |A∩B|=87 (compute |A∪B|), then apply multiply to the result and 5.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1146"
result = "5730"


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|=171, |A∩B|=123 (compute |A∪B|), then apply multiply to the result and 47.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "173"
result = "8131"


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|=3444, |B|=930, |A∩B|=89 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4285"
result = "8570"


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|=1192, |B|=97, |A∩B|=93 (compute |A∪B|), then apply multiply to the result and 5.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1196"
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|=848, |B|=1587, |A∩B|=133 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2302"
result = "4604"


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|=331, |B|=525, |A∩B|=158 (compute |A∪B|), then apply multiply to the result and 9.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "698"
result = "6282"


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|=122, |A∩B|=72 (compute |A∪B|), then apply multiply to the result and 22.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "147"
result = "3234"


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|=352, |B|=1025, |A∩B|=195 (compute |A∪B|), then apply multiply to the result and 4.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1182"
result = "4728"


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|=1237, |B|=1682, |A∩B|=47 (compute |A∪B|), then apply multiply to the result and 2.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2872"
result = "5744"


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|=1791, |B|=100, |A∩B|=88 (compute |A∪B|), then apply multiply to the result and 5.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1803"
result = "9015"


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|=1171, |B|=832, |A∩B|=53 (compute |A∪B|), then apply gcf to the result and 18200.
Return one step then the final:
step1 = "<...>"
result = "<...>"

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


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|=666, |B|=2963, |A∩B|=74 (compute |A∪B|), then apply gcf to the result and 9954.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3555"
result = "711"


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|=1695, |B|=1728, |A∩B|=27 (compute |A∪B|), then apply gcf to the result and 11037.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3396"
result = "849"


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|=4588, |B|=3962, |A∩B|=153 (compute |A∪B|), then apply gcf to the result and 27990.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8397"
result = "2799"


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|=3182, |B|=218, |A∩B|=23 (compute |A∪B|), then apply gcf to the result and 6140.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3377"
result = "307"


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|=4303, |B|=98, |A∩B|=40 (compute |A∪B|), then apply gcf to the result and 22428.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4361"
result = "623"


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|=3470, |B|=1250, |A∩B|=51 (compute |A∪B|), then apply gcf to the result and 5075.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4669"
result = "203"


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|=908, |B|=354, |A∩B|=28 (compute |A∪B|), then apply gcf to the result and 20361.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1234"
result = "617"


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|=4250, |B|=186, |A∩B|=118 (compute |A∪B|), then apply gcf to the result and 4064.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4318"
result = "254"


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|=2505, |B|=518, |A∩B|=99 (compute |A∪B|), then apply gcf to the result and 2193.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2924"
result = "731"


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|=1817, |B|=171, |A∩B|=147 (compute |A∪B|), then apply gcf to the result and 2893.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1841"
result = "263"


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|=1841, |B|=6579, |A∩B|=153 (compute |A∪B|), then apply gcf to the result and 42516.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8267"
result = "1181"


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|=3660, |B|=3949, |A∩B|=165 (compute |A∪B|), then apply gcf to the result and 63274.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7444"
result = "3722"


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|=3753, |A∩B|=80 (compute |A∪B|), then apply gcf to the result and 71965.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3890"
result = "1945"


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|=1259, |B|=3107, |A∩B|=132 (compute |A∪B|), then apply gcf to the result and 4526.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4234"
result = "146"


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|=3140, |B|=3140, |A∩B|=192 (compute |A∪B|), then apply gcf to the result and 41094.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6088"
result = "1522"


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|=583, |B|=2897, |A∩B|=162 (compute |A∪B|), then apply gcf to the result and 16116.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3318"
result = "474"


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|=1291, |B|=6172, |A∩B|=38 (compute |A∪B|), then apply gcf to the result and 3645.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7425"
result = "135"


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|=762, |B|=6091, |A∩B|=198 (compute |A∪B|), then apply gcf to the result and 21175.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6655"
result = "605"


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|=4885, |B|=985, |A∩B|=167 (compute |A∪B|), then apply gcf to the result and 66535.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5703"
result = "1901"


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|=5321, |B|=282, |A∩B|=44 (compute |A∪B|), then apply gcf to the result and 8829.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5559"
result = "327"


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|=6082, |B|=1624, |A∩B|=54 (compute |A∪B|), then apply gcf to the result and 51651.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7652"
result = "1913"


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|=580, |B|=3547, |A∩B|=35 (compute |A∪B|), then apply gcf to the result and 3069.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4092"
result = "1023"


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|=2005, |B|=5719, |A∩B|=24 (compute |A∪B|), then apply gcf to the result and 525.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7700"
result = "175"


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|=1099, |B|=4569, |A∩B|=150 (compute |A∪B|), then apply gcf to the result and 4450.
Return one step then the final:
step1 = "<...>"
result = "<...>"

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


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|=820, |B|=2744, |A∩B|=165 (compute |A∪B|), then apply gcf to the result and 3605.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3399"
result = "103"


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|=1548, |B|=1623, |A∩B|=76 (compute |A∪B|), then apply gcf to the result and 16094.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3095"
result = "619"


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|=2276, |B|=4208, |A∩B|=29 (compute |A∪B|), then apply gcf to the result and 42603.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6455"
result = "1291"


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|=6175, |B|=2359, |A∩B|=77 (compute |A∪B|), then apply gcf to the result and 62018.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8457"
result = "2819"


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|=3135, |B|=1735, |A∩B|=90 (compute |A∪B|), then apply gcf to the result and 44215.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4780"
result = "1195"


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|=2000, |B|=3672, |A∩B|=198 (compute |A∪B|), then apply gcf to the result and 2975.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5474"
result = "119"


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|=197, |B|=9892, |A∩B|=146 (compute |A∪B|), then apply gcf to the result and 4238.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9943"
result = "163"


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|=1178, |B|=4289, |A∩B|=155 (compute |A∪B|), then apply gcf to the result and 50464.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5312"
result = "2656"


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|=288, |B|=1856, |A∩B|=119 (compute |A∪B|), then apply gcf to the result and 13500.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2025"
result = "675"


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|=4494, |B|=1226, |A∩B|=195 (compute |A∪B|), then apply gcf to the result and 34255.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5525"
result = "1105"


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|=6639, |B|=1333, |A∩B|=117 (compute |A∪B|), then apply gcf to the result and 56556.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7855"
result = "1571"


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|=3642, |B|=6279, |A∩B|=91 (compute |A∪B|), then apply gcf to the result and 93385.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9830"
result = "4915"


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|=716, |B|=3691, |A∩B|=170 (compute |A∪B|), then apply gcf to the result and 3568.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4237"
result = "223"


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|=497, |B|=772, |A∩B|=186 (compute |A∪B|), then apply gcf to the result and 14440.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1083"
result = "361"


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|=793, |B|=3096, |A∩B|=151 (compute |A∪B|), then apply gcf to the result and 4539.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3738"
result = "267"


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|=474, |A∩B|=95 (compute |A∪B|), then apply gcf to the result and 16713.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1238"
result = "619"


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|=1722, |B|=3112, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 4242.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4646"
result = "202"


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|=2062, |B|=5930, |A∩B|=180 (compute |A∪B|), then apply gcf to the result and 42408.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7812"
result = "1116"


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|=533, |B|=289, |A∩B|=106 (compute |A∪B|), then apply gcf to the result and 895.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "716"
result = "179"


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|=8064, |B|=648, |A∩B|=86 (compute |A∪B|), then apply gcf to the result and 8399.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8626"
result = "227"


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|=2326, |B|=5806, |A∩B|=52 (compute |A∪B|), then apply gcf to the result and 10605.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8080"
result = "505"


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|=1602, |B|=1703, |A∩B|=23 (compute |A∪B|), then apply gcf to the result and 12581.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3282"
result = "547"


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|=2608, |B|=4021, |A∩B|=157 (compute |A∪B|), then apply gcf to the result and 48540.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6472"
result = "3236"


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|=514, |B|=4987, |A∩B|=158 (compute |A∪B|), then apply gcf to the result and 3562.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5343"
result = "1781"


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|=688, |B|=431, |A∩B|=161 (compute |A∪B|), then apply gcf to the result and 17723.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "958"
result = "479"


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|=2298, |B|=909, |A∩B|=122 (compute |A∪B|), then apply gcf to the result and 22829.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3085"
result = "617"


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|=558, |B|=952, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 27454.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1484"
result = "742"


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|=1914, |B|=7137, |A∩B|=76 (compute |A∪B|), then apply gcf to the result and 9334.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8975"
result = "359"


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|=1533, |B|=439, |A∩B|=108 (compute |A∪B|), then apply gcf to the result and 5359.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1864"
result = "233"


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|=623, |A∩B|=39 (compute |A∪B|), then apply gcf to the result and 4880.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "732"
result = "244"


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|=1731, |B|=521, |A∩B|=148 (compute |A∪B|), then apply gcf to the result and 14202.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2104"
result = "526"


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|=3668, |B|=4777, |A∩B|=196 (compute |A∪B|), then apply gcf to the result and 4407.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8249"
result = "113"


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|=1572, |A∩B|=104 (compute |A∪B|), then apply gcf to the result and 4842.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1883"
result = "269"


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|=1362, |B|=3387, |A∩B|=126 (compute |A∪B|), then apply gcf to the result and 2814.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4623"
result = "201"


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|=2754, |B|=1586, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 45760.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4290"
result = "1430"


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|=349, |B|=263, |A∩B|=170 (compute |A∪B|), then apply gcf to the result and 7735.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "442"
result = "221"


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|=1734, |B|=1748, |A∩B|=53 (compute |A∪B|), then apply gcf to the result and 12192.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3429"
result = "381"


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|=1942, |B|=214, |A∩B|=31 (compute |A∪B|), then apply gcf to the result and 1500.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2125"
result = "125"


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|=4320, |B|=1627, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 764.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5921"
result = "191"


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|=960, |B|=5345, |A∩B|=97 (compute |A∪B|), then apply gcf to the result and 2522.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6208"
result = "194"


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|=1435, |B|=5111, |A∩B|=152 (compute |A∪B|), then apply gcf to the result and 1529.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6394"
result = "139"


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|=1738, |B|=444, |A∩B|=35 (compute |A∪B|), then apply gcf to the result and 3164.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2147"
result = "113"


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|=2348, |B|=2466, |A∩B|=158 (compute |A∪B|), then apply gcf to the result and 3201.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4656"
result = "291"


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|=2380, |B|=744, |A∩B|=33 (compute |A∪B|), then apply gcf to the result and 5620.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3091"
result = "281"


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|=876, |A∩B|=112 (compute |A∪B|), then apply gcf to the result and 7657.
Return one step then the final:
step1 = "<...>"
result = "<...>"

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


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|=7170, |B|=281, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 39472.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7401"
result = "2467"


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|=5223, |B|=767, |A∩B|=20 (compute |A∪B|), then apply gcf to the result and 74625.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5970"
result = "2985"


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|=225, |B|=148, |A∩B|=99 (compute |A∪B|), then apply gcf to the result and 3973.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "274"
result = "137"


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|=644, |B|=8006, |A∩B|=169 (compute |A∪B|), then apply gcf to the result and 10794.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8481"
result = "771"


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|=4721, |B|=1502, |A∩B|=36 (compute |A∪B|), then apply gcf to the result and 2959.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6187"
result = "269"


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|=770, |B|=509, |A∩B|=114 (compute |A∪B|), then apply gcf to the result and 4194.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1165"
result = "233"


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|=8152, |B|=1345, |A∩B|=103 (compute |A∪B|), then apply gcf to the result and 79849.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9394"
result = "4697"


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|=1336, |B|=6783, |A∩B|=72 (compute |A∪B|), then apply gcf to the result and 2476.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8047"
result = "619"


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|=982, |B|=8639, |A∩B|=81 (compute |A∪B|), then apply gcf to the result and 7685.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9540"
result = "265"


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|=4114, |B|=2351, |A∩B|=197 (compute |A∪B|), then apply gcf to the result and 20371.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6268"
result = "1567"


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|=1603, |B|=1032, |A∩B|=190 (compute |A∪B|), then apply gcf to the result and 16300.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2445"
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|=874, |B|=2626, |A∩B|=32 (compute |A∪B|), then apply gcf to the result and 2142.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3468"
result = "102"


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|=2025, |B|=7229, |A∩B|=200 (compute |A∪B|), then apply gcf to the result and 15593.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9054"
result = "503"


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|=5809, |B|=2971, |A∩B|=200 (compute |A∪B|), then apply gcf to the result and 53196.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8580"
result = "1716"


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|=5508, |B|=2909, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 78316.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8391"
result = "2797"


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|=6325, |B|=1068, |A∩B|=66 (compute |A∪B|), then apply gcf to the result and 5603.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7327"
result = "431"


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|=3658, |B|=1856, |A∩B|=70 (compute |A∪B|), then apply gcf to the result and 51718.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5444"
result = "2722"


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|=6369, |B|=698, |A∩B|=60 (compute |A∪B|), then apply gcf to the result and 22932.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7007"
result = "637"


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|=5334, |B|=1980, |A∩B|=40 (compute |A∪B|), then apply gcf to the result and 120021.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7274"
result = "3637"


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|=2357, |B|=956, |A∩B|=87 (compute |A∪B|), then apply gcf to the result and 50003.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3226"
result = "1613"


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|=780, |B|=7132, |A∩B|=137 (compute |A∪B|), then apply gcf to the result and 11507.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7775"
result = "311"


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|=4878, |B|=3806, |A∩B|=93 (compute |A∪B|), then apply gcf to the result and 4840.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8591"
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|=2065, |B|=2048, |A∩B|=32 (compute |A∪B|), then apply gcf to the result and 20988.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4081"
result = "583"


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|=709, |B|=1526, |A∩B|=89 (compute |A∪B|), then apply gcf to the result and 33263.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2146"
result = "1073"


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|=3731, |B|=4516, |A∩B|=187 (compute |A∪B|), then apply gcf to the result and 6820.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8060"
result = "620"


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|=409, |B|=836, |A∩B|=192 (compute |A∪B|), then apply gcf to the result and 9126.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1053"
result = "351"


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|=6932, |B|=309, |A∩B|=40 (compute |A∪B|), then apply gcf to the result and 10991.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7201"
result = "379"


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|=2227, |B|=814, |A∩B|=181 (compute |A∪B|), then apply gcf to the result and 2080.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2860"
result = "260"


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|=2922, |B|=2982, |A∩B|=114 (compute |A∪B|), then apply gcf to the result and 4246.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5790"
result = "386"


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|=694, |B|=125, |A∩B|=108 (compute |A∪B|), then apply gcf to the result and 948.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "711"
result = "237"


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|=2539, |A∩B|=106 (compute |A∪B|), then apply gcf to the result and 17116.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3112"
result = "1556"


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|=4238, |B|=5636, |A∩B|=167 (compute |A∪B|), then apply gcf to the result and 9136.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9707"
result = "571"


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|=5280, |B|=2720, |A∩B|=83 (compute |A∪B|), then apply gcf to the result and 1421.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7917"
result = "203"


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|=722, |B|=1977, |A∩B|=159 (compute |A∪B|), then apply gcf to the result and 3810.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2540"
result = "1270"


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|=535, |B|=2465, |A∩B|=140 (compute |A∪B|), then apply gcf to the result and 770.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2860"
result = "110"


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|=1830, |B|=3207, |A∩B|=129 (compute |A∪B|), then apply gcf to the result and 12679.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4908"
result = "409"


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|=3171, |A∩B|=87 (compute |A∪B|), then apply gcf to the result and 1205.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3856"
result = "241"


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|=5167, |B|=302, |A∩B|=168 (compute |A∪B|), then apply gcf to the result and 3627.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5301"
result = "279"


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|=3549, |A∩B|=147 (compute |A∪B|), then apply gcf to the result and 50733.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3758"
result = "1879"


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|=3043, |B|=1768, |A∩B|=122 (compute |A∪B|), then apply gcf to the result and 48453.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4689"
result = "1563"


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|=1194, |B|=2756, |A∩B|=132 (compute |A∪B|), then apply gcf to the result and 62997.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3818"
result = "1909"


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|=3353, |B|=599, |A∩B|=42 (compute |A∪B|), then apply gcf to the result and 72335.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3910"
result = "1955"


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|=3014, |B|=134, |A∩B|=118 (compute |A∪B|), then apply gcf to the result and 1717.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3030"
result = "101"


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|=7458, |B|=1684, |A∩B|=103 (compute |A∪B|), then apply gcf to the result and 15065.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9039"
result = "3013"


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|=2713, |B|=5753, |A∩B|=109 (compute |A∪B|), then apply gcf to the result and 3288.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8357"
result = "137"


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|=1971, |B|=419, |A∩B|=186 (compute |A∪B|), then apply gcf to the result and 4959.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2204"
result = "551"


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|=6623, |B|=1399, |A∩B|=79 (compute |A∪B|), then apply gcf to the result and 507.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7943"
result = "169"


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|=4192, |B|=299, |A∩B|=27 (compute |A∪B|), then apply gcf to the result and 17360.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4464"
result = "496"


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|=4693, |B|=2791, |A∩B|=131 (compute |A∪B|), then apply gcf to the result and 6966.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7353"
result = "387"


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|=6024, |B|=1972, |A∩B|=138 (compute |A∪B|), then apply gcf to the result and 58935.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7858"
result = "3929"


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|=1487, |B|=4624, |A∩B|=166 (compute |A∪B|), then apply gcf to the result and 38048.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5945"
result = "1189"


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|=5798, |B|=4044, |A∩B|=80 (compute |A∪B|), then apply gcf to the result and 130160.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9762"
result = "3254"


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|=9015, |B|=325, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 14144.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9152"
result = "832"


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|=82, |B|=966, |A∩B|=53 (compute |A∪B|), then apply gcf to the result and 5771.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "995"
result = "199"


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|=3620, |B|=2832, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 7469.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6402"
result = "1067"


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|=8196, |B|=1266, |A∩B|=67 (compute |A∪B|), then apply gcf to the result and 13153.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9395"
result = "1879"


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|=1495, |B|=6693, |A∩B|=192 (compute |A∪B|), then apply gcf to the result and 5997.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7996"
result = "1999"


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|=886, |B|=2564, |A∩B|=129 (compute |A∪B|), then apply gcf to the result and 25461.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3321"
result = "1107"


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|=6178, |B|=2764, |A∩B|=78 (compute |A∪B|), then apply gcf to the result and 39888.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8864"
result = "4432"


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|=3213, |B|=565, |A∩B|=149 (compute |A∪B|), then apply gcf to the result and 2674.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3629"
result = "191"


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|=4615, |B|=2687, |A∩B|=137 (compute |A∪B|), then apply gcf to the result and 4299.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7165"
result = "1433"


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|=1076, |B|=1055, |A∩B|=66 (compute |A∪B|), then apply gcf to the result and 2950.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2065"
result = "295"


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|=1398, |B|=4379, |A∩B|=96 (compute |A∪B|), then apply gcf to the result and 11799.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5681"
result = "437"


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|=267, |B|=925, |A∩B|=25 (compute |A∪B|), then apply gcf to the result and 15560.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "1167"
result = "389"


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|=2492, |B|=1097, |A∩B|=81 (compute |A∪B|), then apply gcf to the result and 7893.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3508"
result = "877"


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|=4370, |B|=1111, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 31639.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5455"
result = "1091"


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|=1284, |B|=6145, |A∩B|=116 (compute |A∪B|), then apply gcf to the result and 3399.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7313"
result = "103"


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|=4098, |B|=2159, |A∩B|=175 (compute |A∪B|), then apply gcf to the result and 9123.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6082"
result = "3041"


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|=1813, |B|=4473, |A∩B|=76 (compute |A∪B|), then apply gcf to the result and 4995.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6210"
result = "135"


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|=2017, |B|=2517, |A∩B|=138 (compute |A∪B|), then apply gcf to the result and 50554.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4396"
result = "2198"


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|=5098, |B|=515, |A∩B|=191 (compute |A∪B|), then apply gcf to the result and 105729.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5422"
result = "2711"


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|=1278, |B|=4707, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 43919.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5935"
result = "1187"


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|=1828, |B|=3276, |A∩B|=199 (compute |A∪B|), then apply gcf to the result and 10355.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4905"
result = "545"


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|=1334, |B|=7528, |A∩B|=64 (compute |A∪B|), then apply gcf to the result and 83581.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8798"
result = "4399"


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|=1255, |B|=1495, |A∩B|=33 (compute |A∪B|), then apply gcf to the result and 3289.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2717"
result = "143"


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|=5267, |B|=1623, |A∩B|=138 (compute |A∪B|), then apply gcf to the result and 29540.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6752"
result = "844"


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|=2242, |B|=3678, |A∩B|=104 (compute |A∪B|), then apply gcf to the result and 26899.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5816"
result = "727"


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|=436, |B|=483, |A∩B|=189 (compute |A∪B|), then apply gcf to the result and 4015.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "730"
result = "365"


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|=7103, |B|=331, |A∩B|=172 (compute |A∪B|), then apply gcf to the result and 54465.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7262"
result = "3631"


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|=1179, |B|=1079, |A∩B|=20 (compute |A∪B|), then apply gcf to the result and 3357.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2238"
result = "1119"


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|=2145, |B|=4752, |A∩B|=30 (compute |A∪B|), then apply gcf to the result and 4578.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6867"
result = "2289"


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|=6417, |B|=2990, |A∩B|=102 (compute |A∪B|), then apply gcf to the result and 40942.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9305"
result = "1861"


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|=380, |B|=314, |A∩B|=193 (compute |A∪B|), then apply gcf to the result and 6680.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "501"
result = "167"


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|=8535, |B|=453, |A∩B|=172 (compute |A∪B|), then apply gcf to the result and 4524.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8816"
result = "116"


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|=2770, |B|=5476, |A∩B|=172 (compute |A∪B|), then apply gcf to the result and 100925.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "8074"
result = "4037"


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|=1465, |B|=1469, |A∩B|=128 (compute |A∪B|), then apply gcf to the result and 26657.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2806"
result = "1403"


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|=3427, |B|=1346, |A∩B|=103 (compute |A∪B|), then apply gcf to the result and 4203.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4670"
result = "467"


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|=2343, |B|=856, |A∩B|=71 (compute |A∪B|), then apply gcf to the result and 6072.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3128"
result = "184"


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|=5126, |B|=1268, |A∩B|=74 (compute |A∪B|), then apply gcf to the result and 6715.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "6320"
result = "395"


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|=4429, |A∩B|=38 (compute |A∪B|), then apply gcf to the result and 29931.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "4535"
result = "907"


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|=1993, |B|=166, |A∩B|=56 (compute |A∪B|), then apply gcf to the result and 21731.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2103"
result = "701"


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|=5442, |B|=3994, |A∩B|=157 (compute |A∪B|), then apply gcf to the result and 10310.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9279"
result = "1031"


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|=1081, |B|=1665, |A∩B|=170 (compute |A∪B|), then apply gcf to the result and 10948.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "2576"
result = "644"


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|=164, |A∩B|=87 (compute |A∪B|), then apply gcf to the result and 3472.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "224"
result = "112"


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|=1888, |B|=4278, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 10248.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5978"
result = "854"


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|=1400, |B|=6356, |A∩B|=86 (compute |A∪B|), then apply gcf to the result and 2832.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "7670"
result = "118"


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|=8270, |B|=1541, |A∩B|=169 (compute |A∪B|), then apply gcf to the result and 56245.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9642"
result = "1607"


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|=4778, |B|=981, |A∩B|=143 (compute |A∪B|), then apply gcf to the result and 13572.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "5616"
result = "468"


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|=9419, |B|=363, |A∩B|=87 (compute |A∪B|), then apply gcf to the result and 21329.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "9695"
result = "1939"


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|=1038, |B|=2497, |A∩B|=166 (compute |A∪B|), then apply gcf to the result and 21337.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "3369"
result = "1123"