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

[System] You 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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1813 + 4473 - 76 = 6210. Then, The greatest common factor of 6210 and 4995 is 135.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2017 + 2517 - 138 = 4396. Then, The greatest common factor of 4396 and 50554 is 2198.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5098 + 515 - 191 = 5422. Then, The greatest common factor of 5422 and 105729 is 2711.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1278 + 4707 - 50 = 5935. Then, The greatest common factor of 5935 and 43919 is 1187.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1828 + 3276 - 199 = 4905. Then, The greatest common factor of 4905 and 10355 is 545.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1334 + 7528 - 64 = 8798. Then, The greatest common factor of 8798 and 83581 is 4399.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1255 + 1495 - 33 = 2717. Then, The greatest common factor of 2717 and 3289 is 143.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5267 + 1623 - 138 = 6752. Then, The greatest common factor of 6752 and 29540 is 844.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2242 + 3678 - 104 = 5816. Then, The greatest common factor of 5816 and 26899 is 727.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 436 + 483 - 189 = 730. Then, The greatest common factor of 730 and 4015 is 365.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 7103 + 331 - 172 = 7262. Then, The greatest common factor of 7262 and 54465 is 3631.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1179 + 1079 - 20 = 2238. Then, The greatest common factor of 2238 and 3357 is 1119.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2145 + 4752 - 30 = 6867. Then, The greatest common factor of 6867 and 4578 is 2289.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6417 + 2990 - 102 = 9305. Then, The greatest common factor of 9305 and 40942 is 1861.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 380 + 314 - 193 = 501. Then, The greatest common factor of 501 and 6680 is 167.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 8535 + 453 - 172 = 8816. Then, The greatest common factor of 8816 and 4524 is 116.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2770 + 5476 - 172 = 8074. Then, The greatest common factor of 8074 and 100925 is 4037.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1465 + 1469 - 128 = 2806. Then, The greatest common factor of 2806 and 26657 is 1403.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3427 + 1346 - 103 = 4670. Then, The greatest common factor of 4670 and 4203 is 467.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2343 + 856 - 71 = 3128. Then, The greatest common factor of 3128 and 6072 is 184.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5126 + 1268 - 74 = 6320. Then, The greatest common factor of 6320 and 6715 is 395.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 144 + 4429 - 38 = 4535. Then, The greatest common factor of 4535 and 29931 is 907.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1993 + 166 - 56 = 2103. Then, The greatest common factor of 2103 and 21731 is 701.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5442 + 3994 - 157 = 9279. Then, The greatest common factor of 9279 and 10310 is 1031.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1081 + 1665 - 170 = 2576. Then, The greatest common factor of 2576 and 10948 is 644.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 147 + 164 - 87 = 224. Then, The greatest common factor of 224 and 3472 is 112.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1888 + 4278 - 188 = 5978. Then, The greatest common factor of 5978 and 10248 is 854.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1400 + 6356 - 86 = 7670. Then, The greatest common factor of 7670 and 2832 is 118.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 8270 + 1541 - 169 = 9642. Then, The greatest common factor of 9642 and 56245 is 1607.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4778 + 981 - 143 = 5616. Then, The greatest common factor of 5616 and 13572 is 468.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 9419 + 363 - 87 = 9695. Then, The greatest common factor of 9695 and 21329 is 1939.
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.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1038 + 2497 - 166 = 3369. Then, The greatest common factor of 3369 and 21337 is 1123.
result = "1123"


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

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

[User]
Apply venn to the sets |A|=6399, |B|=2525, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 6409.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6399 + 2525 - 50 = 8874. Then, The greatest common factor of 8874 and 6409 is 493.
result = "493"


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

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

[User]
Apply venn to the sets |A|=7294, |B|=2523, |A∩B|=112 (compute |A∪B|), then apply gcf to the result and 14881.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 7294 + 2523 - 112 = 9705. Then, The greatest common factor of 9705 and 14881 is 647.
result = "647"


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

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

[User]
Apply venn to the sets |A|=5701, |B|=3714, |A∩B|=41 (compute |A∪B|), then apply gcf to the result and 1853.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5701 + 3714 - 41 = 9374. Then, The greatest common factor of 9374 and 1853 is 109.
result = "109"


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

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

[User]
Apply venn to the sets |A|=573, |B|=373, |A∩B|=110 (compute |A∪B|), then apply gcf to the result and 2717.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 573 + 373 - 110 = 836. Then, The greatest common factor of 836 and 2717 is 209.
result = "209"


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

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

[User]
Apply venn to the sets |A|=874, |B|=8292, |A∩B|=141 (compute |A∪B|), then apply gcf to the result and 11875.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 874 + 8292 - 141 = 9025. Then, The greatest common factor of 9025 and 11875 is 475.
result = "475"


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

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

[User]
Apply venn to the sets |A|=741, |B|=8854, |A∩B|=106 (compute |A∪B|), then apply gcf to the result and 79075.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 741 + 8854 - 106 = 9489. Then, The greatest common factor of 9489 and 79075 is 3163.
result = "3163"


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

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

[User]
Apply venn to the sets |A|=6285, |B|=1128, |A∩B|=102 (compute |A∪B|), then apply gcf to the result and 70673.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6285 + 1128 - 102 = 7311. Then, The greatest common factor of 7311 and 70673 is 2437.
result = "2437"


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

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

[User]
Apply venn to the sets |A|=561, |B|=569, |A∩B|=165 (compute |A∪B|), then apply gcf to the result and 2509.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 561 + 569 - 165 = 965. Then, The greatest common factor of 965 and 2509 is 193.
result = "193"


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

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

[User]
Apply venn to the sets |A|=3006, |B|=2774, |A∩B|=32 (compute |A∪B|), then apply gcf to the result and 31614.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3006 + 2774 - 32 = 5748. Then, The greatest common factor of 5748 and 31614 is 2874.
result = "2874"


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

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

[User]
Apply venn to the sets |A|=1098, |B|=988, |A∩B|=176 (compute |A∪B|), then apply gcf to the result and 2292.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1098 + 988 - 176 = 1910. Then, The greatest common factor of 1910 and 2292 is 382.
result = "382"


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

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

[User]
Apply venn to the sets |A|=256, |B|=1311, |A∩B|=189 (compute |A∪B|), then apply gcf to the result and 10335.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 256 + 1311 - 189 = 1378. Then, The greatest common factor of 1378 and 10335 is 689.
result = "689"


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

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

[User]
Apply venn to the sets |A|=859, |B|=1287, |A∩B|=145 (compute |A∪B|), then apply gcf to the result and 10672.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 859 + 1287 - 145 = 2001. Then, The greatest common factor of 2001 and 10672 is 667.
result = "667"


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

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

[User]
Apply venn to the sets |A|=2748, |B|=5556, |A∩B|=163 (compute |A∪B|), then apply gcf to the result and 10467.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2748 + 5556 - 163 = 8141. Then, The greatest common factor of 8141 and 10467 is 1163.
result = "1163"


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

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

[User]
Apply venn to the sets |A|=6571, |B|=1718, |A∩B|=159 (compute |A∪B|), then apply gcf to the result and 2981.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6571 + 1718 - 159 = 8130. Then, The greatest common factor of 8130 and 2981 is 271.
result = "271"


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

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

[User]
Apply venn to the sets |A|=1230, |B|=3436, |A∩B|=138 (compute |A∪B|), then apply gcf to the result and 9905.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1230 + 3436 - 138 = 4528. Then, The greatest common factor of 4528 and 9905 is 283.
result = "283"


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

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

[User]
Apply venn to the sets |A|=6293, |B|=446, |A∩B|=133 (compute |A∪B|), then apply gcf to the result and 5872.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6293 + 446 - 133 = 6606. Then, The greatest common factor of 6606 and 5872 is 734.
result = "734"


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

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

[User]
Apply venn to the sets |A|=4586, |B|=97, |A∩B|=85 (compute |A∪B|), then apply gcf to the result and 2541.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4586 + 97 - 85 = 4598. Then, The greatest common factor of 4598 and 2541 is 121.
result = "121"


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

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

[User]
Apply venn to the sets |A|=652, |B|=119, |A∩B|=111 (compute |A∪B|), then apply gcf to the result and 3696.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 652 + 119 - 111 = 660. Then, The greatest common factor of 660 and 3696 is 132.
result = "132"


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

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

[User]
Apply venn to the sets |A|=2496, |B|=3942, |A∩B|=190 (compute |A∪B|), then apply gcf to the result and 22152.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2496 + 3942 - 190 = 6248. Then, The greatest common factor of 6248 and 22152 is 568.
result = "568"


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

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

[User]
Apply venn to the sets |A|=3333, |B|=5082, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 7794.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3333 + 5082 - 188 = 8227. Then, The greatest common factor of 8227 and 7794 is 433.
result = "433"


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

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

[User]
Apply venn to the sets |A|=230, |B|=1177, |A∩B|=73 (compute |A∪B|), then apply gcf to the result and 14007.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 230 + 1177 - 73 = 1334. Then, The greatest common factor of 1334 and 14007 is 667.
result = "667"


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

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

[User]
Apply venn to the sets |A|=5144, |B|=2927, |A∩B|=142 (compute |A∪B|), then apply gcf to the result and 35240.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5144 + 2927 - 142 = 7929. Then, The greatest common factor of 7929 and 35240 is 881.
result = "881"


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

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

[User]
Apply venn to the sets |A|=636, |B|=1257, |A∩B|=190 (compute |A∪B|), then apply gcf to the result and 3799.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 636 + 1257 - 190 = 1703. Then, The greatest common factor of 1703 and 3799 is 131.
result = "131"


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

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

[User]
Apply venn to the sets |A|=4552, |B|=1720, |A∩B|=154 (compute |A∪B|), then apply gcf to the result and 2622.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4552 + 1720 - 154 = 6118. Then, The greatest common factor of 6118 and 2622 is 874.
result = "874"


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

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

[User]
Apply venn to the sets |A|=753, |B|=1122, |A∩B|=31 (compute |A∪B|), then apply gcf to the result and 1383.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 753 + 1122 - 31 = 1844. Then, The greatest common factor of 1844 and 1383 is 461.
result = "461"


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

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

[User]
Apply venn to the sets |A|=4283, |B|=2412, |A∩B|=43 (compute |A∪B|), then apply gcf to the result and 54879.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4283 + 2412 - 43 = 6652. Then, The greatest common factor of 6652 and 54879 is 1663.
result = "1663"


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

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

[User]
Apply venn to the sets |A|=1972, |B|=3302, |A∩B|=183 (compute |A∪B|), then apply gcf to the result and 27152.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1972 + 3302 - 183 = 5091. Then, The greatest common factor of 5091 and 27152 is 1697.
result = "1697"


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

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

[User]
Apply venn to the sets |A|=1082, |B|=52, |A∩B|=36 (compute |A∪B|), then apply gcf to the result and 3477.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1082 + 52 - 36 = 1098. Then, The greatest common factor of 1098 and 3477 is 183.
result = "183"


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

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

[User]
Apply venn to the sets |A|=1538, |B|=2416, |A∩B|=160 (compute |A∪B|), then apply gcf to the result and 62601.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1538 + 2416 - 160 = 3794. Then, The greatest common factor of 3794 and 62601 is 1897.
result = "1897"


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

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

[User]
Apply venn to the sets |A|=6311, |B|=685, |A∩B|=197 (compute |A∪B|), then apply gcf to the result and 19874.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6311 + 685 - 197 = 6799. Then, The greatest common factor of 6799 and 19874 is 523.
result = "523"


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

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

[User]
Apply venn to the sets |A|=84, |B|=108, |A∩B|=80 (compute |A∪B|), then apply lcm to the result and 52.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 84 + 108 - 80 = 112. Then, The least common multiple of 112 and 52 is 1456.
result = "1456"


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

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

[User]
Apply venn to the sets |A|=198, |B|=241, |A∩B|=195 (compute |A∪B|), then apply lcm to the result and 19.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 198 + 241 - 195 = 244. Then, The least common multiple of 244 and 19 is 4636.
result = "4636"


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

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

[User]
Apply venn to the sets |A|=172, |B|=200, |A∩B|=157 (compute |A∪B|), then apply lcm to the result and 19.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 172 + 200 - 157 = 215. Then, The least common multiple of 215 and 19 is 4085.
result = "4085"


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

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

[User]
Apply venn to the sets |A|=198, |B|=80, |A∩B|=28 (compute |A∪B|), then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 198 + 80 - 28 = 250. Then, The least common multiple of 250 and 9 is 2250.
result = "2250"


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

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

[User]
Apply venn to the sets |A|=217, |B|=101, |A∩B|=79 (compute |A∪B|), then apply lcm to the result and 28.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 217 + 101 - 79 = 239. Then, The least common multiple of 239 and 28 is 6692.
result = "6692"


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

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

[User]
Apply venn to the sets |A|=164, |B|=586, |A∩B|=43 (compute |A∪B|), then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 164 + 586 - 43 = 707. Then, The least common multiple of 707 and 4 is 2828.
result = "2828"


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

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

[User]
Apply venn to the sets |A|=473, |B|=538, |A∩B|=123 (compute |A∪B|), then apply lcm to the result and 27.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 473 + 538 - 123 = 888. Then, The least common multiple of 888 and 27 is 7992.
result = "7992"


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

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

[User]
Apply venn to the sets |A|=205, |B|=209, |A∩B|=104 (compute |A∪B|), then apply lcm to the result and 48.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 205 + 209 - 104 = 310. Then, The least common multiple of 310 and 48 is 7440.
result = "7440"


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

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

[User]
Apply venn to the sets |A|=299, |B|=495, |A∩B|=83 (compute |A∪B|), then apply lcm to the result and 72.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 299 + 495 - 83 = 711. Then, The least common multiple of 711 and 72 is 5688.
result = "5688"


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

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

[User]
Apply venn to the sets |A|=141, |B|=53, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 25.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 141 + 53 - 33 = 161. Then, The least common multiple of 161 and 25 is 4025.
result = "4025"


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

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

[User]
Apply venn to the sets |A|=159, |B|=359, |A∩B|=54 (compute |A∪B|), then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 159 + 359 - 54 = 464. Then, The least common multiple of 464 and 20 is 2320.
result = "2320"


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

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

[User]
Apply venn to the sets |A|=148, |B|=924, |A∩B|=116 (compute |A∪B|), then apply lcm to the result and 28.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 148 + 924 - 116 = 956. Then, The least common multiple of 956 and 28 is 6692.
result = "6692"


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

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

[User]
Apply venn to the sets |A|=878, |B|=167, |A∩B|=130 (compute |A∪B|), then apply lcm to the result and 30.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 878 + 167 - 130 = 915. Then, The least common multiple of 915 and 30 is 1830.
result = "1830"


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

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

[User]
Apply venn to the sets |A|=300, |B|=323, |A∩B|=30 (compute |A∪B|), then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 300 + 323 - 30 = 593. Then, The least common multiple of 593 and 14 is 8302.
result = "8302"


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

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

[User]
Apply venn to the sets |A|=279, |B|=727, |A∩B|=98 (compute |A∪B|), then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 279 + 727 - 98 = 908. Then, The least common multiple of 908 and 24 is 5448.
result = "5448"


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

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

[User]
Apply venn to the sets |A|=219, |B|=105, |A∩B|=27 (compute |A∪B|), then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 219 + 105 - 27 = 297. Then, The least common multiple of 297 and 14 is 4158.
result = "4158"


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

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

[User]
Apply venn to the sets |A|=414, |B|=493, |A∩B|=122 (compute |A∪B|), then apply lcm to the result and 60.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 414 + 493 - 122 = 785. Then, The least common multiple of 785 and 60 is 9420.
result = "9420"


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

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

[User]
Apply venn to the sets |A|=219, |B|=193, |A∩B|=105 (compute |A∪B|), then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 219 + 193 - 105 = 307. Then, The least common multiple of 307 and 8 is 2456.
result = "2456"


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

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

[User]
Apply venn to the sets |A|=325, |B|=400, |A∩B|=50 (compute |A∪B|), then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 325 + 400 - 50 = 675. Then, The least common multiple of 675 and 14 is 9450.
result = "9450"


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

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

[User]
Apply venn to the sets |A|=306, |B|=871, |A∩B|=183 (compute |A∪B|), then apply lcm to the result and 21.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 306 + 871 - 183 = 994. Then, The least common multiple of 994 and 21 is 2982.
result = "2982"


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

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

[User]
Apply venn to the sets |A|=545, |B|=76, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 545 + 76 - 34 = 587. Then, The least common multiple of 587 and 6 is 3522.
result = "3522"


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

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

[User]
Apply venn to the sets |A|=546, |B|=477, |A∩B|=48 (compute |A∪B|), then apply lcm to the result and 90.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 546 + 477 - 48 = 975. Then, The least common multiple of 975 and 90 is 5850.
result = "5850"


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

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

[User]
Apply venn to the sets |A|=287, |B|=348, |A∩B|=26 (compute |A∪B|), then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 287 + 348 - 26 = 609. Then, The least common multiple of 609 and 14 is 1218.
result = "1218"


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

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

[User]
Apply venn to the sets |A|=314, |B|=339, |A∩B|=169 (compute |A∪B|), then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 314 + 339 - 169 = 484. Then, The least common multiple of 484 and 24 is 2904.
result = "2904"


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

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

[User]
Apply venn to the sets |A|=52, |B|=130, |A∩B|=36 (compute |A∪B|), then apply lcm to the result and 74.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 52 + 130 - 36 = 146. Then, The least common multiple of 146 and 74 is 5402.
result = "5402"


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

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

[User]
Apply venn to the sets |A|=229, |B|=933, |A∩B|=177 (compute |A∪B|), then apply lcm to the result and 40.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 229 + 933 - 177 = 985. Then, The least common multiple of 985 and 40 is 7880.
result = "7880"


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

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

[User]
Apply venn to the sets |A|=635, |B|=237, |A∩B|=67 (compute |A∪B|), then apply lcm to the result and 60.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 635 + 237 - 67 = 805. Then, The least common multiple of 805 and 60 is 9660.
result = "9660"


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

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

[User]
Apply venn to the sets |A|=460, |B|=408, |A∩B|=197 (compute |A∪B|), then apply lcm to the result and 66.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 460 + 408 - 197 = 671. Then, The least common multiple of 671 and 66 is 4026.
result = "4026"


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

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

[User]
Apply venn to the sets |A|=347, |B|=242, |A∩B|=78 (compute |A∪B|), then apply lcm to the result and 19.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 347 + 242 - 78 = 511. Then, The least common multiple of 511 and 19 is 9709.
result = "9709"


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

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

[User]
Apply venn to the sets |A|=319, |B|=212, |A∩B|=51 (compute |A∪B|), then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 319 + 212 - 51 = 480. Then, The least common multiple of 480 and 26 is 6240.
result = "6240"


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

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

[User]
Apply venn to the sets |A|=294, |B|=301, |A∩B|=196 (compute |A∪B|), then apply lcm to the result and 76.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 294 + 301 - 196 = 399. Then, The least common multiple of 399 and 76 is 1596.
result = "1596"


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

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

[User]
Apply venn to the sets |A|=106, |B|=847, |A∩B|=62 (compute |A∪B|), then apply lcm to the result and 77.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 106 + 847 - 62 = 891. Then, The least common multiple of 891 and 77 is 6237.
result = "6237"


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

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

[User]
Apply venn to the sets |A|=108, |B|=328, |A∩B|=88 (compute |A∪B|), then apply lcm to the result and 80.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 108 + 328 - 88 = 348. Then, The least common multiple of 348 and 80 is 6960.
result = "6960"


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

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

[User]
Apply venn to the sets |A|=356, |B|=681, |A∩B|=90 (compute |A∪B|), then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 356 + 681 - 90 = 947. Then, The least common multiple of 947 and 6 is 5682.
result = "5682"


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

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

[User]
Apply venn to the sets |A|=527, |B|=543, |A∩B|=133 (compute |A∪B|), then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 527 + 543 - 133 = 937. Then, The least common multiple of 937 and 10 is 9370.
result = "9370"


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

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

[User]
Apply venn to the sets |A|=302, |B|=232, |A∩B|=179 (compute |A∪B|), then apply lcm to the result and 65.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 302 + 232 - 179 = 355. Then, The least common multiple of 355 and 65 is 4615.
result = "4615"


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

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

[User]
Apply venn to the sets |A|=329, |B|=419, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 329 + 419 - 186 = 562. Then, The least common multiple of 562 and 6 is 1686.
result = "1686"


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

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

[User]
Apply venn to the sets |A|=148, |B|=164, |A∩B|=143 (compute |A∪B|), then apply lcm to the result and 40.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 148 + 164 - 143 = 169. Then, The least common multiple of 169 and 40 is 6760.
result = "6760"


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

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

[User]
Apply venn to the sets |A|=147, |B|=921, |A∩B|=141 (compute |A∪B|), then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 147 + 921 - 141 = 927. Then, The least common multiple of 927 and 2 is 1854.
result = "1854"


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

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

[User]
Apply venn to the sets |A|=257, |B|=243, |A∩B|=117 (compute |A∪B|), then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 257 + 243 - 117 = 383. Then, The least common multiple of 383 and 20 is 7660.
result = "7660"


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

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

[User]
Apply venn to the sets |A|=735, |B|=412, |A∩B|=181 (compute |A∪B|), then apply lcm to the result and 92.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 735 + 412 - 181 = 966. Then, The least common multiple of 966 and 92 is 1932.
result = "1932"


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

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

[User]
Apply venn to the sets |A|=217, |B|=100, |A∩B|=25 (compute |A∪B|), then apply lcm to the result and 88.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 217 + 100 - 25 = 292. Then, The least common multiple of 292 and 88 is 6424.
result = "6424"


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

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

[User]
Apply venn to the sets |A|=285, |B|=447, |A∩B|=152 (compute |A∪B|), then apply lcm to the result and 52.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 285 + 447 - 152 = 580. Then, The least common multiple of 580 and 52 is 7540.
result = "7540"


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

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

[User]
Apply venn to the sets |A|=642, |B|=225, |A∩B|=74 (compute |A∪B|), then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 642 + 225 - 74 = 793. Then, The least common multiple of 793 and 8 is 6344.
result = "6344"


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

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

[User]
Apply venn to the sets |A|=415, |B|=694, |A∩B|=166 (compute |A∪B|), then apply lcm to the result and 92.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 415 + 694 - 166 = 943. Then, The least common multiple of 943 and 92 is 3772.
result = "3772"


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

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

[User]
Apply venn to the sets |A|=243, |B|=134, |A∩B|=32 (compute |A∪B|), then apply lcm to the result and 36.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 243 + 134 - 32 = 345. Then, The least common multiple of 345 and 36 is 4140.
result = "4140"


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

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

[User]
Apply venn to the sets |A|=164, |B|=206, |A∩B|=160 (compute |A∪B|), then apply lcm to the result and 43.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 164 + 206 - 160 = 210. Then, The least common multiple of 210 and 43 is 9030.
result = "9030"


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

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

[User]
Apply venn to the sets |A|=340, |B|=159, |A∩B|=145 (compute |A∪B|), then apply lcm to the result and 56.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 340 + 159 - 145 = 354. Then, The least common multiple of 354 and 56 is 9912.
result = "9912"


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

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

[User]
Apply venn to the sets |A|=112, |B|=164, |A∩B|=32 (compute |A∪B|), then apply lcm to the result and 42.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 112 + 164 - 32 = 244. Then, The least common multiple of 244 and 42 is 5124.
result = "5124"


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

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

[User]
Apply venn to the sets |A|=450, |B|=498, |A∩B|=31 (compute |A∪B|), then apply lcm to the result and 70.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 450 + 498 - 31 = 917. Then, The least common multiple of 917 and 70 is 9170.
result = "9170"


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

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

[User]
Apply venn to the sets |A|=692, |B|=422, |A∩B|=132 (compute |A∪B|), then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 692 + 422 - 132 = 982. Then, The least common multiple of 982 and 20 is 9820.
result = "9820"


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

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

[User]
Apply venn to the sets |A|=152, |B|=51, |A∩B|=25 (compute |A∪B|), then apply lcm to the result and 62.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 152 + 51 - 25 = 178. Then, The least common multiple of 178 and 62 is 5518.
result = "5518"


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

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

[User]
Apply venn to the sets |A|=335, |B|=304, |A∩B|=89 (compute |A∪B|), then apply lcm to the result and 99.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 335 + 304 - 89 = 550. Then, The least common multiple of 550 and 99 is 4950.
result = "4950"


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

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

[User]
Apply venn to the sets |A|=542, |B|=237, |A∩B|=190 (compute |A∪B|), then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 542 + 237 - 190 = 589. Then, The least common multiple of 589 and 2 is 1178.
result = "1178"


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

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

[User]
Apply venn to the sets |A|=534, |B|=447, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 534 + 447 - 186 = 795. Then, The least common multiple of 795 and 9 is 2385.
result = "2385"


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

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

[User]
Apply venn to the sets |A|=450, |B|=352, |A∩B|=120 (compute |A∪B|), then apply lcm to the result and 55.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 450 + 352 - 120 = 682. Then, The least common multiple of 682 and 55 is 3410.
result = "3410"


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

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

[User]
Apply venn to the sets |A|=263, |B|=95, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 19.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 263 + 95 - 34 = 324. Then, The least common multiple of 324 and 19 is 6156.
result = "6156"


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

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

[User]
Apply venn to the sets |A|=479, |B|=609, |A∩B|=152 (compute |A∪B|), then apply lcm to the result and 56.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 479 + 609 - 152 = 936. Then, The least common multiple of 936 and 56 is 6552.
result = "6552"


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

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

[User]
Apply venn to the sets |A|=228, |B|=279, |A∩B|=162 (compute |A∪B|), then apply lcm to the result and 13.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 228 + 279 - 162 = 345. Then, The least common multiple of 345 and 13 is 4485.
result = "4485"


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

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

[User]
Apply venn to the sets |A|=175, |B|=423, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 27.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 175 + 423 - 34 = 564. Then, The least common multiple of 564 and 27 is 5076.
result = "5076"


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

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

[User]
Apply venn to the sets |A|=210, |B|=203, |A∩B|=185 (compute |A∪B|), then apply lcm to the result and 31.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 210 + 203 - 185 = 228. Then, The least common multiple of 228 and 31 is 7068.
result = "7068"


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

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

[User]
Apply venn to the sets |A|=282, |B|=206, |A∩B|=107 (compute |A∪B|), then apply lcm to the result and 42.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 282 + 206 - 107 = 381. Then, The least common multiple of 381 and 42 is 5334.
result = "5334"


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

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

[User]
Apply venn to the sets |A|=702, |B|=341, |A∩B|=89 (compute |A∪B|), then apply lcm to the result and 45.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 702 + 341 - 89 = 954. Then, The least common multiple of 954 and 45 is 4770.
result = "4770"


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

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

[User]
Apply venn to the sets |A|=151, |B|=86, |A∩B|=67 (compute |A∪B|), then apply lcm to the result and 30.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 151 + 86 - 67 = 170. Then, The least common multiple of 170 and 30 is 510.
result = "510"


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

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

[User]
Apply venn to the sets |A|=123, |B|=306, |A∩B|=63 (compute |A∪B|), then apply lcm to the result and 15.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 123 + 306 - 63 = 366. Then, The least common multiple of 366 and 15 is 1830.
result = "1830"


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

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

[User]
Apply venn to the sets |A|=372, |B|=552, |A∩B|=99 (compute |A∪B|), then apply lcm to the result and 27.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 372 + 552 - 99 = 825. Then, The least common multiple of 825 and 27 is 7425.
result = "7425"


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

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

[User]
Apply venn to the sets |A|=154, |B|=176, |A∩B|=150 (compute |A∪B|), then apply lcm to the result and 44.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 154 + 176 - 150 = 180. Then, The least common multiple of 180 and 44 is 1980.
result = "1980"


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

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

[User]
Apply venn to the sets |A|=656, |B|=421, |A∩B|=158 (compute |A∪B|), then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 656 + 421 - 158 = 919. Then, The least common multiple of 919 and 9 is 8271.
result = "8271"


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

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

[User]
Apply venn to the sets |A|=256, |B|=278, |A∩B|=173 (compute |A∪B|), then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 256 + 278 - 173 = 361. Then, The least common multiple of 361 and 9 is 3249.
result = "3249"


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

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

[User]
Apply venn to the sets |A|=227, |B|=768, |A∩B|=103 (compute |A∪B|), then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 227 + 768 - 103 = 892. Then, The least common multiple of 892 and 24 is 5352.
result = "5352"


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

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

[User]
Apply venn to the sets |A|=334, |B|=91, |A∩B|=55 (compute |A∪B|), then apply lcm to the result and 40.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 334 + 91 - 55 = 370. Then, The least common multiple of 370 and 40 is 1480.
result = "1480"


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

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

[User]
Apply venn to the sets |A|=728, |B|=296, |A∩B|=119 (compute |A∪B|), then apply lcm to the result and 35.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 728 + 296 - 119 = 905. Then, The least common multiple of 905 and 35 is 6335.
result = "6335"


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

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

[User]
Apply venn to the sets |A|=701, |B|=204, |A∩B|=39 (compute |A∪B|), then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 701 + 204 - 39 = 866. Then, The least common multiple of 866 and 20 is 8660.
result = "8660"


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

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

[User]
Apply venn to the sets |A|=526, |B|=215, |A∩B|=156 (compute |A∪B|), then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 526 + 215 - 156 = 585. Then, The least common multiple of 585 and 20 is 2340.
result = "2340"


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

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

[User]
Apply venn to the sets |A|=229, |B|=443, |A∩B|=136 (compute |A∪B|), then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 229 + 443 - 136 = 536. Then, The least common multiple of 536 and 24 is 1608.
result = "1608"


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

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

[User]
Apply venn to the sets |A|=220, |B|=502, |A∩B|=151 (compute |A∪B|), then apply lcm to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 220 + 502 - 151 = 571. Then, The least common multiple of 571 and 3 is 1713.
result = "1713"


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

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

[User]
Apply venn to the sets |A|=455, |B|=271, |A∩B|=115 (compute |A∪B|), then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 455 + 271 - 115 = 611. Then, The least common multiple of 611 and 26 is 1222.
result = "1222"


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

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

[User]
Apply venn to the sets |A|=549, |B|=342, |A∩B|=54 (compute |A∪B|), then apply lcm to the result and 11.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 549 + 342 - 54 = 837. Then, The least common multiple of 837 and 11 is 9207.
result = "9207"


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

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

[User]
Apply venn to the sets |A|=797, |B|=256, |A∩B|=182 (compute |A∪B|), then apply lcm to the result and 39.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 797 + 256 - 182 = 871. Then, The least common multiple of 871 and 39 is 2613.
result = "2613"


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

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

[User]
Apply venn to the sets |A|=130, |B|=866, |A∩B|=63 (compute |A∪B|), then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 130 + 866 - 63 = 933. Then, The least common multiple of 933 and 4 is 3732.
result = "3732"


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

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

[User]
Apply venn to the sets |A|=902, |B|=61, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 25.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 902 + 61 - 33 = 930. Then, The least common multiple of 930 and 25 is 4650.
result = "4650"


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

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

[User]
Apply venn to the sets |A|=228, |B|=153, |A∩B|=38 (compute |A∪B|), then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 228 + 153 - 38 = 343. Then, The least common multiple of 343 and 8 is 2744.
result = "2744"


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

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

[User]
Apply venn to the sets |A|=173, |B|=353, |A∩B|=122 (compute |A∪B|), then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 173 + 353 - 122 = 404. Then, The least common multiple of 404 and 10 is 2020.
result = "2020"


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

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

[User]
Apply venn to the sets |A|=144, |B|=177, |A∩B|=123 (compute |A∪B|), then apply lcm to the result and 39.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 144 + 177 - 123 = 198. Then, The least common multiple of 198 and 39 is 2574.
result = "2574"


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

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

[User]
Apply venn to the sets |A|=191, |B|=260, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 11.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 191 + 260 - 186 = 265. Then, The least common multiple of 265 and 11 is 2915.
result = "2915"


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

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

[User]
Apply venn to the sets |A|=461, |B|=250, |A∩B|=56 (compute |A∪B|), then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 461 + 250 - 56 = 655. Then, The least common multiple of 655 and 14 is 9170.
result = "9170"


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

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

[User]
Apply venn to the sets |A|=210, |B|=305, |A∩B|=82 (compute |A∪B|), then apply lcm to the result and 23.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 210 + 305 - 82 = 433. Then, The least common multiple of 433 and 23 is 9959.
result = "9959"


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

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

[User]
Apply venn to the sets |A|=347, |B|=45, |A∩B|=23 (compute |A∪B|), then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 347 + 45 - 23 = 369. Then, The least common multiple of 369 and 4 is 1476.
result = "1476"


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

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

[User]
Apply venn to the sets |A|=235, |B|=213, |A∩B|=196 (compute |A∪B|), then apply lcm to the result and 87.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 235 + 213 - 196 = 252. Then, The least common multiple of 252 and 87 is 7308.
result = "7308"


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

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

[User]
Apply venn to the sets |A|=176, |B|=122, |A∩B|=91 (compute |A∪B|), then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 176 + 122 - 91 = 207. Then, The least common multiple of 207 and 26 is 5382.
result = "5382"


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

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

[User]
Apply venn to the sets |A|=430, |B|=249, |A∩B|=77 (compute |A∪B|), then apply lcm to the result and 22.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 430 + 249 - 77 = 602. Then, The least common multiple of 602 and 22 is 6622.
result = "6622"


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

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

[User]
Apply venn to the sets |A|=318, |B|=216, |A∩B|=139 (compute |A∪B|), then apply lcm to the result and 45.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 318 + 216 - 139 = 395. Then, The least common multiple of 395 and 45 is 3555.
result = "3555"


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

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

[User]
Apply venn to the sets |A|=570, |B|=448, |A∩B|=185 (compute |A∪B|), then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 570 + 448 - 185 = 833. Then, The least common multiple of 833 and 4 is 3332.
result = "3332"


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

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

[User]
Apply venn to the sets |A|=329, |B|=401, |A∩B|=156 (compute |A∪B|), then apply lcm to the result and 77.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 329 + 401 - 156 = 574. Then, The least common multiple of 574 and 77 is 6314.
result = "6314"


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

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

[User]
Apply venn to the sets |A|=572, |B|=516, |A∩B|=140 (compute |A∪B|), then apply lcm to the result and 72.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 572 + 516 - 140 = 948. Then, The least common multiple of 948 and 72 is 5688.
result = "5688"


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

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

[User]
Apply venn to the sets |A|=176, |B|=622, |A∩B|=161 (compute |A∪B|), then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 176 + 622 - 161 = 637. Then, The least common multiple of 637 and 2 is 1274.
result = "1274"


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

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

[User]
Apply venn to the sets |A|=325, |B|=168, |A∩B|=148 (compute |A∪B|), then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 325 + 168 - 148 = 345. Then, The least common multiple of 345 and 8 is 2760.
result = "2760"


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

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

[User]
Apply venn to the sets |A|=478, |B|=117, |A∩B|=92 (compute |A∪B|), then apply lcm to the result and 13.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 478 + 117 - 92 = 503. Then, The least common multiple of 503 and 13 is 6539.
result = "6539"


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

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

[User]
Apply venn to the sets |A|=164, |B|=481, |A∩B|=82 (compute |A∪B|), then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 164 + 481 - 82 = 563. Then, The least common multiple of 563 and 6 is 3378.
result = "3378"


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

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

[User]
Apply venn to the sets |A|=143, |B|=313, |A∩B|=90 (compute |A∪B|), then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 143 + 313 - 90 = 366. Then, The least common multiple of 366 and 5 is 1830.
result = "1830"


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

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

[User]
Apply venn to the sets |A|=144, |B|=483, |A∩B|=122 (compute |A∪B|), then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 144 + 483 - 122 = 505. Then, The least common multiple of 505 and 14 is 7070.
result = "7070"


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

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

[User]
Apply venn to the sets |A|=538, |B|=67, |A∩B|=49 (compute |A∪B|), then apply lcm to the result and 40.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 538 + 67 - 49 = 556. Then, The least common multiple of 556 and 40 is 5560.
result = "5560"


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

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

[User]
Apply venn to the sets |A|=137, |B|=845, |A∩B|=63 (compute |A∪B|), then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 137 + 845 - 63 = 919. Then, The least common multiple of 919 and 10 is 9190.
result = "9190"


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

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

[User]
Apply venn to the sets |A|=138, |B|=106, |A∩B|=75 (compute |A∪B|), then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 138 + 106 - 75 = 169. Then, The least common multiple of 169 and 7 is 1183.
result = "1183"


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

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

[User]
Apply venn to the sets |A|=273, |B|=298, |A∩B|=160 (compute |A∪B|), then apply lcm to the result and 15.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 273 + 298 - 160 = 411. Then, The least common multiple of 411 and 15 is 2055.
result = "2055"


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

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

[User]
Apply venn to the sets |A|=811, |B|=48, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 811 + 48 - 33 = 826. Then, The least common multiple of 826 and 9 is 7434.
result = "7434"


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

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

[User]
Apply venn to the sets |A|=97, |B|=72, |A∩B|=24 (compute |A∪B|), then apply lcm to the result and 27.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 97 + 72 - 24 = 145. Then, The least common multiple of 145 and 27 is 3915.
result = "3915"


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

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

[User]
Apply venn to the sets |A|=116, |B|=226, |A∩B|=85 (compute |A∪B|), then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 116 + 226 - 85 = 257. Then, The least common multiple of 257 and 12 is 3084.
result = "3084"


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

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

[User]
Apply venn to the sets |A|=56, |B|=169, |A∩B|=36 (compute |A∪B|), then apply lcm to the result and 19.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 56 + 169 - 36 = 189. Then, The least common multiple of 189 and 19 is 3591.
result = "3591"


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

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

[User]
Apply venn to the sets |A|=264, |B|=282, |A∩B|=116 (compute |A∪B|), then apply lcm to the result and 17.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 264 + 282 - 116 = 430. Then, The least common multiple of 430 and 17 is 7310.
result = "7310"


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

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

[User]
Apply venn to the sets |A|=748, |B|=307, |A∩B|=114 (compute |A∪B|), then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 748 + 307 - 114 = 941. Then, The least common multiple of 941 and 8 is 7528.
result = "7528"


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

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

[User]
Apply venn to the sets |A|=961, |B|=90, |A∩B|=62 (compute |A∪B|), then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 961 + 90 - 62 = 989. Then, The least common multiple of 989 and 5 is 4945.
result = "4945"


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

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

[User]
Apply venn to the sets |A|=748, |B|=221, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 68.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 748 + 221 - 34 = 935. Then, The least common multiple of 935 and 68 is 3740.
result = "3740"


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

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

[User]
Apply venn to the sets |A|=236, |B|=298, |A∩B|=179 (compute |A∪B|), then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 236 + 298 - 179 = 355. Then, The least common multiple of 355 and 20 is 1420.
result = "1420"


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

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

[User]
Apply venn to the sets |A|=141, |B|=152, |A∩B|=136 (compute |A∪B|), then apply lcm to the result and 16.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 141 + 152 - 136 = 157. Then, The least common multiple of 157 and 16 is 2512.
result = "2512"


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

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

[User]
Apply venn to the sets |A|=559, |B|=405, |A∩B|=157 (compute |A∪B|), then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 559 + 405 - 157 = 807. Then, The least common multiple of 807 and 12 is 3228.
result = "3228"


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

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

[User]
Apply venn to the sets |A|=578, |B|=378, |A∩B|=84 (compute |A∪B|), then apply lcm to the result and 72.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 578 + 378 - 84 = 872. Then, The least common multiple of 872 and 72 is 7848.
result = "7848"


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

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

[User]
Apply venn to the sets |A|=639, |B|=200, |A∩B|=121 (compute |A∪B|), then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 639 + 200 - 121 = 718. Then, The least common multiple of 718 and 14 is 5026.
result = "5026"