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

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

[User]
Apply venn to the sets |A|=4203, |B|=469, |A∩B|=37 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4203 + 469 - 37 = 4635. Then, Multiply the result 4635 by 2: 4635 * 2 = 9270.
result = "9270"


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

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

[User]
Apply venn to the sets |A|=191, |B|=189, |A∩B|=83 (compute |A∪B|), then apply multiply to the result and 32.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 191 + 189 - 83 = 297. Then, Multiply the result 297 by 32: 297 * 32 = 9504.
result = "9504"


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

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

[User]
Apply venn to the sets |A|=1486, |B|=2335, |A∩B|=93 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1486 + 2335 - 93 = 3728. Then, Multiply the result 3728 by 2: 3728 * 2 = 7456.
result = "7456"


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

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

[User]
Apply venn to the sets |A|=104, |B|=657, |A∩B|=21 (compute |A∪B|), then apply multiply to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 104 + 657 - 21 = 740. Then, Multiply the result 740 by 10: 740 * 10 = 7400.
result = "7400"


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

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

[User]
Apply venn to the sets |A|=854, |B|=1843, |A∩B|=103 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 854 + 1843 - 103 = 2594. Then, Multiply the result 2594 by 2: 2594 * 2 = 5188.
result = "5188"


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

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

[User]
Apply venn to the sets |A|=2076, |B|=534, |A∩B|=26 (compute |A∪B|), then apply multiply to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2076 + 534 - 26 = 2584. Then, Multiply the result 2584 by 3: 2584 * 3 = 7752.
result = "7752"


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

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

[User]
Apply venn to the sets |A|=894, |B|=1556, |A∩B|=97 (compute |A∪B|), then apply multiply to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 894 + 1556 - 97 = 2353. Then, Multiply the result 2353 by 4: 2353 * 4 = 9412.
result = "9412"


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

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

[User]
Apply venn to the sets |A|=1092, |B|=1265, |A∩B|=45 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1092 + 1265 - 45 = 2312. Then, Multiply the result 2312 by 2: 2312 * 2 = 4624.
result = "4624"


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

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

[User]
Apply venn to the sets |A|=2091, |B|=1095, |A∩B|=78 (compute |A∪B|), then apply multiply to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2091 + 1095 - 78 = 3108. Then, Multiply the result 3108 by 3: 3108 * 3 = 9324.
result = "9324"


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

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

[User]
Apply venn to the sets |A|=368, |B|=333, |A∩B|=28 (compute |A∪B|), then apply multiply to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 368 + 333 - 28 = 673. Then, Multiply the result 673 by 8: 673 * 8 = 5384.
result = "5384"


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

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

[User]
Apply venn to the sets |A|=3114, |B|=660, |A∩B|=39 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3114 + 660 - 39 = 3735. Then, Multiply the result 3735 by 2: 3735 * 2 = 7470.
result = "7470"


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

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

[User]
Apply venn to the sets |A|=68, |B|=206, |A∩B|=61 (compute |A∪B|), then apply multiply to the result and 27.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 68 + 206 - 61 = 213. Then, Multiply the result 213 by 27: 213 * 27 = 5751.
result = "5751"


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

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

[User]
Apply venn to the sets |A|=390, |B|=3680, |A∩B|=100 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 390 + 3680 - 100 = 3970. Then, Multiply the result 3970 by 2: 3970 * 2 = 7940.
result = "7940"


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

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

[User]
Apply venn to the sets |A|=1458, |B|=298, |A∩B|=64 (compute |A∪B|), then apply multiply to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1458 + 298 - 64 = 1692. Then, Multiply the result 1692 by 4: 1692 * 4 = 6768.
result = "6768"


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

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

[User]
Apply venn to the sets |A|=2223, |B|=1241, |A∩B|=66 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2223 + 1241 - 66 = 3398. Then, Multiply the result 3398 by 2: 3398 * 2 = 6796.
result = "6796"


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

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

[User]
Apply venn to the sets |A|=539, |B|=2439, |A∩B|=181 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 539 + 2439 - 181 = 2797. Then, Multiply the result 2797 by 2: 2797 * 2 = 5594.
result = "5594"


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

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

[User]
Apply venn to the sets |A|=793, |B|=1346, |A∩B|=152 (compute |A∪B|), then apply multiply to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 793 + 1346 - 152 = 1987. Then, Multiply the result 1987 by 5: 1987 * 5 = 9935.
result = "9935"


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

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

[User]
Apply venn to the sets |A|=366, |B|=842, |A∩B|=24 (compute |A∪B|), then apply multiply to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 366 + 842 - 24 = 1184. Then, Multiply the result 1184 by 7: 1184 * 7 = 8288.
result = "8288"


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

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

[User]
Apply venn to the sets |A|=1563, |B|=2316, |A∩B|=74 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1563 + 2316 - 74 = 3805. Then, Multiply the result 3805 by 2: 3805 * 2 = 7610.
result = "7610"


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

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

[User]
Apply venn to the sets |A|=1186, |B|=1506, |A∩B|=20 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1186 + 1506 - 20 = 2672. Then, Multiply the result 2672 by 2: 2672 * 2 = 5344.
result = "5344"


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

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

[User]
Apply venn to the sets |A|=1654, |B|=1644, |A∩B|=118 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1654 + 1644 - 118 = 3180. Then, Multiply the result 3180 by 2: 3180 * 2 = 6360.
result = "6360"


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

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

[User]
Apply venn to the sets |A|=160, |B|=753, |A∩B|=155 (compute |A∪B|), then apply multiply to the result and 13.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 160 + 753 - 155 = 758. Then, Multiply the result 758 by 13: 758 * 13 = 9854.
result = "9854"


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

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

[User]
Apply venn to the sets |A|=2219, |B|=2373, |A∩B|=191 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2219 + 2373 - 191 = 4401. Then, Multiply the result 4401 by 2: 4401 * 2 = 8802.
result = "8802"


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

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

[User]
Apply venn to the sets |A|=4630, |B|=543, |A∩B|=193 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4630 + 543 - 193 = 4980. Then, Multiply the result 4980 by 2: 4980 * 2 = 9960.
result = "9960"


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

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

[User]
Apply venn to the sets |A|=1309, |B|=1509, |A∩B|=89 (compute |A∪B|), then apply multiply to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1309 + 1509 - 89 = 2729. Then, Multiply the result 2729 by 3: 2729 * 3 = 8187.
result = "8187"


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

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

[User]
Apply venn to the sets |A|=1422, |B|=3473, |A∩B|=133 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1422 + 3473 - 133 = 4762. Then, Multiply the result 4762 by 2: 4762 * 2 = 9524.
result = "9524"


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

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

[User]
Apply venn to the sets |A|=3688, |B|=970, |A∩B|=157 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3688 + 970 - 157 = 4501. Then, Multiply the result 4501 by 2: 4501 * 2 = 9002.
result = "9002"


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

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

[User]
Apply venn to the sets |A|=4425, |B|=656, |A∩B|=156 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4425 + 656 - 156 = 4925. Then, Multiply the result 4925 by 2: 4925 * 2 = 9850.
result = "9850"


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

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

[User]
Apply venn to the sets |A|=804, |B|=2965, |A∩B|=183 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 804 + 2965 - 183 = 3586. Then, Multiply the result 3586 by 2: 3586 * 2 = 7172.
result = "7172"


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

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

[User]
Apply venn to the sets |A|=2766, |B|=1958, |A∩B|=130 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2766 + 1958 - 130 = 4594. Then, Multiply the result 4594 by 2: 4594 * 2 = 9188.
result = "9188"


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

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

[User]
Apply venn to the sets |A|=459, |B|=774, |A∩B|=87 (compute |A∪B|), then apply multiply to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 459 + 774 - 87 = 1146. Then, Multiply the result 1146 by 5: 1146 * 5 = 5730.
result = "5730"


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

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

[User]
Apply venn to the sets |A|=125, |B|=171, |A∩B|=123 (compute |A∪B|), then apply multiply to the result and 47.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 125 + 171 - 123 = 173. Then, Multiply the result 173 by 47: 173 * 47 = 8131.
result = "8131"


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

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

[User]
Apply venn to the sets |A|=3444, |B|=930, |A∩B|=89 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3444 + 930 - 89 = 4285. Then, Multiply the result 4285 by 2: 4285 * 2 = 8570.
result = "8570"


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

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

[User]
Apply venn to the sets |A|=1192, |B|=97, |A∩B|=93 (compute |A∪B|), then apply multiply to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1192 + 97 - 93 = 1196. Then, Multiply the result 1196 by 5: 1196 * 5 = 5980.
result = "5980"


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

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

[User]
Apply venn to the sets |A|=848, |B|=1587, |A∩B|=133 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 848 + 1587 - 133 = 2302. Then, Multiply the result 2302 by 2: 2302 * 2 = 4604.
result = "4604"


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

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

[User]
Apply venn to the sets |A|=331, |B|=525, |A∩B|=158 (compute |A∪B|), then apply multiply to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 331 + 525 - 158 = 698. Then, Multiply the result 698 by 9: 698 * 9 = 6282.
result = "6282"


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

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

[User]
Apply venn to the sets |A|=97, |B|=122, |A∩B|=72 (compute |A∪B|), then apply multiply to the result and 22.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 97 + 122 - 72 = 147. Then, Multiply the result 147 by 22: 147 * 22 = 3234.
result = "3234"


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

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

[User]
Apply venn to the sets |A|=352, |B|=1025, |A∩B|=195 (compute |A∪B|), then apply multiply to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 352 + 1025 - 195 = 1182. Then, Multiply the result 1182 by 4: 1182 * 4 = 4728.
result = "4728"


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

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

[User]
Apply venn to the sets |A|=1237, |B|=1682, |A∩B|=47 (compute |A∪B|), then apply multiply to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1237 + 1682 - 47 = 2872. Then, Multiply the result 2872 by 2: 2872 * 2 = 5744.
result = "5744"


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

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

[User]
Apply venn to the sets |A|=1791, |B|=100, |A∩B|=88 (compute |A∪B|), then apply multiply to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1791 + 100 - 88 = 1803. Then, Multiply the result 1803 by 5: 1803 * 5 = 9015.
result = "9015"


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

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

[User]
Apply venn to the sets |A|=1171, |B|=832, |A∩B|=53 (compute |A∪B|), then apply gcf to the result and 18200.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1171 + 832 - 53 = 1950. Then, The greatest common factor of 1950 and 18200 is 650.
result = "650"


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

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

[User]
Apply venn to the sets |A|=666, |B|=2963, |A∩B|=74 (compute |A∪B|), then apply gcf to the result and 9954.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 666 + 2963 - 74 = 3555. Then, The greatest common factor of 3555 and 9954 is 711.
result = "711"


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

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

[User]
Apply venn to the sets |A|=1695, |B|=1728, |A∩B|=27 (compute |A∪B|), then apply gcf to the result and 11037.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1695 + 1728 - 27 = 3396. Then, The greatest common factor of 3396 and 11037 is 849.
result = "849"


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

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

[User]
Apply venn to the sets |A|=4588, |B|=3962, |A∩B|=153 (compute |A∪B|), then apply gcf to the result and 27990.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4588 + 3962 - 153 = 8397. Then, The greatest common factor of 8397 and 27990 is 2799.
result = "2799"


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

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

[User]
Apply venn to the sets |A|=3182, |B|=218, |A∩B|=23 (compute |A∪B|), then apply gcf to the result and 6140.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3182 + 218 - 23 = 3377. Then, The greatest common factor of 3377 and 6140 is 307.
result = "307"


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

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

[User]
Apply venn to the sets |A|=4303, |B|=98, |A∩B|=40 (compute |A∪B|), then apply gcf to the result and 22428.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4303 + 98 - 40 = 4361. Then, The greatest common factor of 4361 and 22428 is 623.
result = "623"


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

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

[User]
Apply venn to the sets |A|=3470, |B|=1250, |A∩B|=51 (compute |A∪B|), then apply gcf to the result and 5075.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3470 + 1250 - 51 = 4669. Then, The greatest common factor of 4669 and 5075 is 203.
result = "203"


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

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

[User]
Apply venn to the sets |A|=908, |B|=354, |A∩B|=28 (compute |A∪B|), then apply gcf to the result and 20361.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 908 + 354 - 28 = 1234. Then, The greatest common factor of 1234 and 20361 is 617.
result = "617"


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

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

[User]
Apply venn to the sets |A|=4250, |B|=186, |A∩B|=118 (compute |A∪B|), then apply gcf to the result and 4064.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4250 + 186 - 118 = 4318. Then, The greatest common factor of 4318 and 4064 is 254.
result = "254"


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

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

[User]
Apply venn to the sets |A|=2505, |B|=518, |A∩B|=99 (compute |A∪B|), then apply gcf to the result and 2193.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2505 + 518 - 99 = 2924. Then, The greatest common factor of 2924 and 2193 is 731.
result = "731"


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

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

[User]
Apply venn to the sets |A|=1817, |B|=171, |A∩B|=147 (compute |A∪B|), then apply gcf to the result and 2893.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1817 + 171 - 147 = 1841. Then, The greatest common factor of 1841 and 2893 is 263.
result = "263"


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

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

[User]
Apply venn to the sets |A|=1841, |B|=6579, |A∩B|=153 (compute |A∪B|), then apply gcf to the result and 42516.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1841 + 6579 - 153 = 8267. Then, The greatest common factor of 8267 and 42516 is 1181.
result = "1181"


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

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

[User]
Apply venn to the sets |A|=3660, |B|=3949, |A∩B|=165 (compute |A∪B|), then apply gcf to the result and 63274.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3660 + 3949 - 165 = 7444. Then, The greatest common factor of 7444 and 63274 is 3722.
result = "3722"


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

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

[User]
Apply venn to the sets |A|=217, |B|=3753, |A∩B|=80 (compute |A∪B|), then apply gcf to the result and 71965.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 217 + 3753 - 80 = 3890. Then, The greatest common factor of 3890 and 71965 is 1945.
result = "1945"


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

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

[User]
Apply venn to the sets |A|=1259, |B|=3107, |A∩B|=132 (compute |A∪B|), then apply gcf to the result and 4526.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1259 + 3107 - 132 = 4234. Then, The greatest common factor of 4234 and 4526 is 146.
result = "146"


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

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

[User]
Apply venn to the sets |A|=3140, |B|=3140, |A∩B|=192 (compute |A∪B|), then apply gcf to the result and 41094.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3140 + 3140 - 192 = 6088. Then, The greatest common factor of 6088 and 41094 is 1522.
result = "1522"


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

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

[User]
Apply venn to the sets |A|=583, |B|=2897, |A∩B|=162 (compute |A∪B|), then apply gcf to the result and 16116.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 583 + 2897 - 162 = 3318. Then, The greatest common factor of 3318 and 16116 is 474.
result = "474"


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

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

[User]
Apply venn to the sets |A|=1291, |B|=6172, |A∩B|=38 (compute |A∪B|), then apply gcf to the result and 3645.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1291 + 6172 - 38 = 7425. Then, The greatest common factor of 7425 and 3645 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|=762, |B|=6091, |A∩B|=198 (compute |A∪B|), then apply gcf to the result and 21175.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 762 + 6091 - 198 = 6655. Then, The greatest common factor of 6655 and 21175 is 605.
result = "605"


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

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

[User]
Apply venn to the sets |A|=4885, |B|=985, |A∩B|=167 (compute |A∪B|), then apply gcf to the result and 66535.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4885 + 985 - 167 = 5703. Then, The greatest common factor of 5703 and 66535 is 1901.
result = "1901"


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

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

[User]
Apply venn to the sets |A|=5321, |B|=282, |A∩B|=44 (compute |A∪B|), then apply gcf to the result and 8829.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5321 + 282 - 44 = 5559. Then, The greatest common factor of 5559 and 8829 is 327.
result = "327"


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

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

[User]
Apply venn to the sets |A|=6082, |B|=1624, |A∩B|=54 (compute |A∪B|), then apply gcf to the result and 51651.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6082 + 1624 - 54 = 7652. Then, The greatest common factor of 7652 and 51651 is 1913.
result = "1913"


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

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

[User]
Apply venn to the sets |A|=580, |B|=3547, |A∩B|=35 (compute |A∪B|), then apply gcf to the result and 3069.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 580 + 3547 - 35 = 4092. Then, The greatest common factor of 4092 and 3069 is 1023.
result = "1023"


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

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

[User]
Apply venn to the sets |A|=2005, |B|=5719, |A∩B|=24 (compute |A∪B|), then apply gcf to the result and 525.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2005 + 5719 - 24 = 7700. Then, The greatest common factor of 7700 and 525 is 175.
result = "175"


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

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

[User]
Apply venn to the sets |A|=1099, |B|=4569, |A∩B|=150 (compute |A∪B|), then apply gcf to the result and 4450.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1099 + 4569 - 150 = 5518. Then, The greatest common factor of 5518 and 4450 is 178.
result = "178"


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

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

[User]
Apply venn to the sets |A|=820, |B|=2744, |A∩B|=165 (compute |A∪B|), then apply gcf to the result and 3605.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 820 + 2744 - 165 = 3399. Then, The greatest common factor of 3399 and 3605 is 103.
result = "103"


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

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

[User]
Apply venn to the sets |A|=1548, |B|=1623, |A∩B|=76 (compute |A∪B|), then apply gcf to the result and 16094.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1548 + 1623 - 76 = 3095. Then, The greatest common factor of 3095 and 16094 is 619.
result = "619"


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

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

[User]
Apply venn to the sets |A|=2276, |B|=4208, |A∩B|=29 (compute |A∪B|), then apply gcf to the result and 42603.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2276 + 4208 - 29 = 6455. Then, The greatest common factor of 6455 and 42603 is 1291.
result = "1291"


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

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

[User]
Apply venn to the sets |A|=6175, |B|=2359, |A∩B|=77 (compute |A∪B|), then apply gcf to the result and 62018.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6175 + 2359 - 77 = 8457. Then, The greatest common factor of 8457 and 62018 is 2819.
result = "2819"


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

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

[User]
Apply venn to the sets |A|=3135, |B|=1735, |A∩B|=90 (compute |A∪B|), then apply gcf to the result and 44215.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3135 + 1735 - 90 = 4780. Then, The greatest common factor of 4780 and 44215 is 1195.
result = "1195"


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

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

[User]
Apply venn to the sets |A|=2000, |B|=3672, |A∩B|=198 (compute |A∪B|), then apply gcf to the result and 2975.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2000 + 3672 - 198 = 5474. Then, The greatest common factor of 5474 and 2975 is 119.
result = "119"


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

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

[User]
Apply venn to the sets |A|=197, |B|=9892, |A∩B|=146 (compute |A∪B|), then apply gcf to the result and 4238.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 197 + 9892 - 146 = 9943. Then, The greatest common factor of 9943 and 4238 is 163.
result = "163"


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

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

[User]
Apply venn to the sets |A|=1178, |B|=4289, |A∩B|=155 (compute |A∪B|), then apply gcf to the result and 50464.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1178 + 4289 - 155 = 5312. Then, The greatest common factor of 5312 and 50464 is 2656.
result = "2656"


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

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

[User]
Apply venn to the sets |A|=288, |B|=1856, |A∩B|=119 (compute |A∪B|), then apply gcf to the result and 13500.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 288 + 1856 - 119 = 2025. Then, The greatest common factor of 2025 and 13500 is 675.
result = "675"


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

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

[User]
Apply venn to the sets |A|=4494, |B|=1226, |A∩B|=195 (compute |A∪B|), then apply gcf to the result and 34255.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4494 + 1226 - 195 = 5525. Then, The greatest common factor of 5525 and 34255 is 1105.
result = "1105"


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

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

[User]
Apply venn to the sets |A|=6639, |B|=1333, |A∩B|=117 (compute |A∪B|), then apply gcf to the result and 56556.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6639 + 1333 - 117 = 7855. Then, The greatest common factor of 7855 and 56556 is 1571.
result = "1571"


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

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

[User]
Apply venn to the sets |A|=3642, |B|=6279, |A∩B|=91 (compute |A∪B|), then apply gcf to the result and 93385.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3642 + 6279 - 91 = 9830. Then, The greatest common factor of 9830 and 93385 is 4915.
result = "4915"


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

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

[User]
Apply venn to the sets |A|=716, |B|=3691, |A∩B|=170 (compute |A∪B|), then apply gcf to the result and 3568.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 716 + 3691 - 170 = 4237. Then, The greatest common factor of 4237 and 3568 is 223.
result = "223"


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

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

[User]
Apply venn to the sets |A|=497, |B|=772, |A∩B|=186 (compute |A∪B|), then apply gcf to the result and 14440.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 497 + 772 - 186 = 1083. Then, The greatest common factor of 1083 and 14440 is 361.
result = "361"


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

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

[User]
Apply venn to the sets |A|=793, |B|=3096, |A∩B|=151 (compute |A∪B|), then apply gcf to the result and 4539.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 793 + 3096 - 151 = 3738. Then, The greatest common factor of 3738 and 4539 is 267.
result = "267"


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

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

[User]
Apply venn to the sets |A|=859, |B|=474, |A∩B|=95 (compute |A∪B|), then apply gcf to the result and 16713.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 859 + 474 - 95 = 1238. Then, The greatest common factor of 1238 and 16713 is 619.
result = "619"


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

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

[User]
Apply venn to the sets |A|=1722, |B|=3112, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 4242.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1722 + 3112 - 188 = 4646. Then, The greatest common factor of 4646 and 4242 is 202.
result = "202"


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

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

[User]
Apply venn to the sets |A|=2062, |B|=5930, |A∩B|=180 (compute |A∪B|), then apply gcf to the result and 42408.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2062 + 5930 - 180 = 7812. Then, The greatest common factor of 7812 and 42408 is 1116.
result = "1116"


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

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

[User]
Apply venn to the sets |A|=533, |B|=289, |A∩B|=106 (compute |A∪B|), then apply gcf to the result and 895.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 533 + 289 - 106 = 716. Then, The greatest common factor of 716 and 895 is 179.
result = "179"


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

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

[User]
Apply venn to the sets |A|=8064, |B|=648, |A∩B|=86 (compute |A∪B|), then apply gcf to the result and 8399.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 8064 + 648 - 86 = 8626. Then, The greatest common factor of 8626 and 8399 is 227.
result = "227"


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

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

[User]
Apply venn to the sets |A|=2326, |B|=5806, |A∩B|=52 (compute |A∪B|), then apply gcf to the result and 10605.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2326 + 5806 - 52 = 8080. Then, The greatest common factor of 8080 and 10605 is 505.
result = "505"


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

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

[User]
Apply venn to the sets |A|=1602, |B|=1703, |A∩B|=23 (compute |A∪B|), then apply gcf to the result and 12581.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1602 + 1703 - 23 = 3282. Then, The greatest common factor of 3282 and 12581 is 547.
result = "547"


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

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

[User]
Apply venn to the sets |A|=2608, |B|=4021, |A∩B|=157 (compute |A∪B|), then apply gcf to the result and 48540.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2608 + 4021 - 157 = 6472. Then, The greatest common factor of 6472 and 48540 is 3236.
result = "3236"


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

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

[User]
Apply venn to the sets |A|=514, |B|=4987, |A∩B|=158 (compute |A∪B|), then apply gcf to the result and 3562.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 514 + 4987 - 158 = 5343. Then, The greatest common factor of 5343 and 3562 is 1781.
result = "1781"


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

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

[User]
Apply venn to the sets |A|=688, |B|=431, |A∩B|=161 (compute |A∪B|), then apply gcf to the result and 17723.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 688 + 431 - 161 = 958. Then, The greatest common factor of 958 and 17723 is 479.
result = "479"


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

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

[User]
Apply venn to the sets |A|=2298, |B|=909, |A∩B|=122 (compute |A∪B|), then apply gcf to the result and 22829.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2298 + 909 - 122 = 3085. Then, The greatest common factor of 3085 and 22829 is 617.
result = "617"


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

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

[User]
Apply venn to the sets |A|=558, |B|=952, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 27454.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 558 + 952 - 26 = 1484. Then, The greatest common factor of 1484 and 27454 is 742.
result = "742"


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

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

[User]
Apply venn to the sets |A|=1914, |B|=7137, |A∩B|=76 (compute |A∪B|), then apply gcf to the result and 9334.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1914 + 7137 - 76 = 8975. Then, The greatest common factor of 8975 and 9334 is 359.
result = "359"


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

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

[User]
Apply venn to the sets |A|=1533, |B|=439, |A∩B|=108 (compute |A∪B|), then apply gcf to the result and 5359.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1533 + 439 - 108 = 1864. Then, The greatest common factor of 1864 and 5359 is 233.
result = "233"


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

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

[User]
Apply venn to the sets |A|=148, |B|=623, |A∩B|=39 (compute |A∪B|), then apply gcf to the result and 4880.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 148 + 623 - 39 = 732. Then, The greatest common factor of 732 and 4880 is 244.
result = "244"


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

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

[User]
Apply venn to the sets |A|=1731, |B|=521, |A∩B|=148 (compute |A∪B|), then apply gcf to the result and 14202.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1731 + 521 - 148 = 2104. Then, The greatest common factor of 2104 and 14202 is 526.
result = "526"


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

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

[User]
Apply venn to the sets |A|=3668, |B|=4777, |A∩B|=196 (compute |A∪B|), then apply gcf to the result and 4407.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3668 + 4777 - 196 = 8249. Then, The greatest common factor of 8249 and 4407 is 113.
result = "113"


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

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

[User]
Apply venn to the sets |A|=415, |B|=1572, |A∩B|=104 (compute |A∪B|), then apply gcf to the result and 4842.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 415 + 1572 - 104 = 1883. Then, The greatest common factor of 1883 and 4842 is 269.
result = "269"


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

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

[User]
Apply venn to the sets |A|=1362, |B|=3387, |A∩B|=126 (compute |A∪B|), then apply gcf to the result and 2814.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1362 + 3387 - 126 = 4623. Then, The greatest common factor of 4623 and 2814 is 201.
result = "201"


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

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

[User]
Apply venn to the sets |A|=2754, |B|=1586, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 45760.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2754 + 1586 - 50 = 4290. Then, The greatest common factor of 4290 and 45760 is 1430.
result = "1430"


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

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

[User]
Apply venn to the sets |A|=349, |B|=263, |A∩B|=170 (compute |A∪B|), then apply gcf to the result and 7735.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 349 + 263 - 170 = 442. Then, The greatest common factor of 442 and 7735 is 221.
result = "221"


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

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

[User]
Apply venn to the sets |A|=1734, |B|=1748, |A∩B|=53 (compute |A∪B|), then apply gcf to the result and 12192.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1734 + 1748 - 53 = 3429. Then, The greatest common factor of 3429 and 12192 is 381.
result = "381"


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

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

[User]
Apply venn to the sets |A|=1942, |B|=214, |A∩B|=31 (compute |A∪B|), then apply gcf to the result and 1500.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1942 + 214 - 31 = 2125. Then, The greatest common factor of 2125 and 1500 is 125.
result = "125"


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

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

[User]
Apply venn to the sets |A|=4320, |B|=1627, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 764.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4320 + 1627 - 26 = 5921. Then, The greatest common factor of 5921 and 764 is 191.
result = "191"


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

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

[User]
Apply venn to the sets |A|=960, |B|=5345, |A∩B|=97 (compute |A∪B|), then apply gcf to the result and 2522.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 960 + 5345 - 97 = 6208. Then, The greatest common factor of 6208 and 2522 is 194.
result = "194"


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

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

[User]
Apply venn to the sets |A|=1435, |B|=5111, |A∩B|=152 (compute |A∪B|), then apply gcf to the result and 1529.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1435 + 5111 - 152 = 6394. Then, The greatest common factor of 6394 and 1529 is 139.
result = "139"


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

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

[User]
Apply venn to the sets |A|=1738, |B|=444, |A∩B|=35 (compute |A∪B|), then apply gcf to the result and 3164.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1738 + 444 - 35 = 2147. Then, The greatest common factor of 2147 and 3164 is 113.
result = "113"


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

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

[User]
Apply venn to the sets |A|=2348, |B|=2466, |A∩B|=158 (compute |A∪B|), then apply gcf to the result and 3201.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2348 + 2466 - 158 = 4656. Then, The greatest common factor of 4656 and 3201 is 291.
result = "291"


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

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

[User]
Apply venn to the sets |A|=2380, |B|=744, |A∩B|=33 (compute |A∪B|), then apply gcf to the result and 5620.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2380 + 744 - 33 = 3091. Then, The greatest common factor of 3091 and 5620 is 281.
result = "281"


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

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

[User]
Apply venn to the sets |A|=414, |B|=876, |A∩B|=112 (compute |A∪B|), then apply gcf to the result and 7657.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 414 + 876 - 112 = 1178. Then, The greatest common factor of 1178 and 7657 is 589.
result = "589"


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

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

[User]
Apply venn to the sets |A|=7170, |B|=281, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 39472.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 7170 + 281 - 50 = 7401. Then, The greatest common factor of 7401 and 39472 is 2467.
result = "2467"


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

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

[User]
Apply venn to the sets |A|=5223, |B|=767, |A∩B|=20 (compute |A∪B|), then apply gcf to the result and 74625.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5223 + 767 - 20 = 5970. Then, The greatest common factor of 5970 and 74625 is 2985.
result = "2985"


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

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

[User]
Apply venn to the sets |A|=225, |B|=148, |A∩B|=99 (compute |A∪B|), then apply gcf to the result and 3973.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 225 + 148 - 99 = 274. Then, The greatest common factor of 274 and 3973 is 137.
result = "137"


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

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

[User]
Apply venn to the sets |A|=644, |B|=8006, |A∩B|=169 (compute |A∪B|), then apply gcf to the result and 10794.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 644 + 8006 - 169 = 8481. Then, The greatest common factor of 8481 and 10794 is 771.
result = "771"


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

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

[User]
Apply venn to the sets |A|=4721, |B|=1502, |A∩B|=36 (compute |A∪B|), then apply gcf to the result and 2959.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4721 + 1502 - 36 = 6187. Then, The greatest common factor of 6187 and 2959 is 269.
result = "269"


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

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

[User]
Apply venn to the sets |A|=770, |B|=509, |A∩B|=114 (compute |A∪B|), then apply gcf to the result and 4194.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 770 + 509 - 114 = 1165. Then, The greatest common factor of 1165 and 4194 is 233.
result = "233"


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

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

[User]
Apply venn to the sets |A|=8152, |B|=1345, |A∩B|=103 (compute |A∪B|), then apply gcf to the result and 79849.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 8152 + 1345 - 103 = 9394. Then, The greatest common factor of 9394 and 79849 is 4697.
result = "4697"


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

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

[User]
Apply venn to the sets |A|=1336, |B|=6783, |A∩B|=72 (compute |A∪B|), then apply gcf to the result and 2476.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1336 + 6783 - 72 = 8047. Then, The greatest common factor of 8047 and 2476 is 619.
result = "619"


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

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

[User]
Apply venn to the sets |A|=982, |B|=8639, |A∩B|=81 (compute |A∪B|), then apply gcf to the result and 7685.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 982 + 8639 - 81 = 9540. Then, The greatest common factor of 9540 and 7685 is 265.
result = "265"


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

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

[User]
Apply venn to the sets |A|=4114, |B|=2351, |A∩B|=197 (compute |A∪B|), then apply gcf to the result and 20371.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4114 + 2351 - 197 = 6268. Then, The greatest common factor of 6268 and 20371 is 1567.
result = "1567"


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

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

[User]
Apply venn to the sets |A|=1603, |B|=1032, |A∩B|=190 (compute |A∪B|), then apply gcf to the result and 16300.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1603 + 1032 - 190 = 2445. Then, The greatest common factor of 2445 and 16300 is 815.
result = "815"


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

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

[User]
Apply venn to the sets |A|=874, |B|=2626, |A∩B|=32 (compute |A∪B|), then apply gcf to the result and 2142.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 874 + 2626 - 32 = 3468. Then, The greatest common factor of 3468 and 2142 is 102.
result = "102"


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

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

[User]
Apply venn to the sets |A|=2025, |B|=7229, |A∩B|=200 (compute |A∪B|), then apply gcf to the result and 15593.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2025 + 7229 - 200 = 9054. Then, The greatest common factor of 9054 and 15593 is 503.
result = "503"


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

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

[User]
Apply venn to the sets |A|=5809, |B|=2971, |A∩B|=200 (compute |A∪B|), then apply gcf to the result and 53196.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5809 + 2971 - 200 = 8580. Then, The greatest common factor of 8580 and 53196 is 1716.
result = "1716"


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

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

[User]
Apply venn to the sets |A|=5508, |B|=2909, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 78316.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5508 + 2909 - 26 = 8391. Then, The greatest common factor of 8391 and 78316 is 2797.
result = "2797"


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

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

[User]
Apply venn to the sets |A|=6325, |B|=1068, |A∩B|=66 (compute |A∪B|), then apply gcf to the result and 5603.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6325 + 1068 - 66 = 7327. Then, The greatest common factor of 7327 and 5603 is 431.
result = "431"


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

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

[User]
Apply venn to the sets |A|=3658, |B|=1856, |A∩B|=70 (compute |A∪B|), then apply gcf to the result and 51718.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3658 + 1856 - 70 = 5444. Then, The greatest common factor of 5444 and 51718 is 2722.
result = "2722"


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

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

[User]
Apply venn to the sets |A|=6369, |B|=698, |A∩B|=60 (compute |A∪B|), then apply gcf to the result and 22932.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6369 + 698 - 60 = 7007. Then, The greatest common factor of 7007 and 22932 is 637.
result = "637"


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

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

[User]
Apply venn to the sets |A|=5334, |B|=1980, |A∩B|=40 (compute |A∪B|), then apply gcf to the result and 120021.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5334 + 1980 - 40 = 7274. Then, The greatest common factor of 7274 and 120021 is 3637.
result = "3637"


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

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

[User]
Apply venn to the sets |A|=2357, |B|=956, |A∩B|=87 (compute |A∪B|), then apply gcf to the result and 50003.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2357 + 956 - 87 = 3226. Then, The greatest common factor of 3226 and 50003 is 1613.
result = "1613"


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

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

[User]
Apply venn to the sets |A|=780, |B|=7132, |A∩B|=137 (compute |A∪B|), then apply gcf to the result and 11507.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 780 + 7132 - 137 = 7775. Then, The greatest common factor of 7775 and 11507 is 311.
result = "311"


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

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

[User]
Apply venn to the sets |A|=4878, |B|=3806, |A∩B|=93 (compute |A∪B|), then apply gcf to the result and 4840.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4878 + 3806 - 93 = 8591. Then, The greatest common factor of 8591 and 4840 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|=2065, |B|=2048, |A∩B|=32 (compute |A∪B|), then apply gcf to the result and 20988.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2065 + 2048 - 32 = 4081. Then, The greatest common factor of 4081 and 20988 is 583.
result = "583"


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

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

[User]
Apply venn to the sets |A|=709, |B|=1526, |A∩B|=89 (compute |A∪B|), then apply gcf to the result and 33263.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 709 + 1526 - 89 = 2146. Then, The greatest common factor of 2146 and 33263 is 1073.
result = "1073"


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

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

[User]
Apply venn to the sets |A|=3731, |B|=4516, |A∩B|=187 (compute |A∪B|), then apply gcf to the result and 6820.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3731 + 4516 - 187 = 8060. Then, The greatest common factor of 8060 and 6820 is 620.
result = "620"


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

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

[User]
Apply venn to the sets |A|=409, |B|=836, |A∩B|=192 (compute |A∪B|), then apply gcf to the result and 9126.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 409 + 836 - 192 = 1053. Then, The greatest common factor of 1053 and 9126 is 351.
result = "351"


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

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

[User]
Apply venn to the sets |A|=6932, |B|=309, |A∩B|=40 (compute |A∪B|), then apply gcf to the result and 10991.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6932 + 309 - 40 = 7201. Then, The greatest common factor of 7201 and 10991 is 379.
result = "379"


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

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

[User]
Apply venn to the sets |A|=2227, |B|=814, |A∩B|=181 (compute |A∪B|), then apply gcf to the result and 2080.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2227 + 814 - 181 = 2860. Then, The greatest common factor of 2860 and 2080 is 260.
result = "260"


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

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

[User]
Apply venn to the sets |A|=2922, |B|=2982, |A∩B|=114 (compute |A∪B|), then apply gcf to the result and 4246.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2922 + 2982 - 114 = 5790. Then, The greatest common factor of 5790 and 4246 is 386.
result = "386"


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

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

[User]
Apply venn to the sets |A|=694, |B|=125, |A∩B|=108 (compute |A∪B|), then apply gcf to the result and 948.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 694 + 125 - 108 = 711. Then, The greatest common factor of 711 and 948 is 237.
result = "237"


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

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

[User]
Apply venn to the sets |A|=679, |B|=2539, |A∩B|=106 (compute |A∪B|), then apply gcf to the result and 17116.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 679 + 2539 - 106 = 3112. Then, The greatest common factor of 3112 and 17116 is 1556.
result = "1556"


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

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

[User]
Apply venn to the sets |A|=4238, |B|=5636, |A∩B|=167 (compute |A∪B|), then apply gcf to the result and 9136.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4238 + 5636 - 167 = 9707. Then, The greatest common factor of 9707 and 9136 is 571.
result = "571"


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

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

[User]
Apply venn to the sets |A|=5280, |B|=2720, |A∩B|=83 (compute |A∪B|), then apply gcf to the result and 1421.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5280 + 2720 - 83 = 7917. Then, The greatest common factor of 7917 and 1421 is 203.
result = "203"


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

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

[User]
Apply venn to the sets |A|=722, |B|=1977, |A∩B|=159 (compute |A∪B|), then apply gcf to the result and 3810.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 722 + 1977 - 159 = 2540. Then, The greatest common factor of 2540 and 3810 is 1270.
result = "1270"


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

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

[User]
Apply venn to the sets |A|=535, |B|=2465, |A∩B|=140 (compute |A∪B|), then apply gcf to the result and 770.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 535 + 2465 - 140 = 2860. Then, The greatest common factor of 2860 and 770 is 110.
result = "110"


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

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

[User]
Apply venn to the sets |A|=1830, |B|=3207, |A∩B|=129 (compute |A∪B|), then apply gcf to the result and 12679.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1830 + 3207 - 129 = 4908. Then, The greatest common factor of 4908 and 12679 is 409.
result = "409"


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

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

[User]
Apply venn to the sets |A|=772, |B|=3171, |A∩B|=87 (compute |A∪B|), then apply gcf to the result and 1205.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 772 + 3171 - 87 = 3856. Then, The greatest common factor of 3856 and 1205 is 241.
result = "241"


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

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

[User]
Apply venn to the sets |A|=5167, |B|=302, |A∩B|=168 (compute |A∪B|), then apply gcf to the result and 3627.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5167 + 302 - 168 = 5301. Then, The greatest common factor of 5301 and 3627 is 279.
result = "279"


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

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

[User]
Apply venn to the sets |A|=356, |B|=3549, |A∩B|=147 (compute |A∪B|), then apply gcf to the result and 50733.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 356 + 3549 - 147 = 3758. Then, The greatest common factor of 3758 and 50733 is 1879.
result = "1879"


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

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

[User]
Apply venn to the sets |A|=3043, |B|=1768, |A∩B|=122 (compute |A∪B|), then apply gcf to the result and 48453.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3043 + 1768 - 122 = 4689. Then, The greatest common factor of 4689 and 48453 is 1563.
result = "1563"


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

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

[User]
Apply venn to the sets |A|=1194, |B|=2756, |A∩B|=132 (compute |A∪B|), then apply gcf to the result and 62997.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1194 + 2756 - 132 = 3818. Then, The greatest common factor of 3818 and 62997 is 1909.
result = "1909"


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

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

[User]
Apply venn to the sets |A|=3353, |B|=599, |A∩B|=42 (compute |A∪B|), then apply gcf to the result and 72335.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3353 + 599 - 42 = 3910. Then, The greatest common factor of 3910 and 72335 is 1955.
result = "1955"


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

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

[User]
Apply venn to the sets |A|=3014, |B|=134, |A∩B|=118 (compute |A∪B|), then apply gcf to the result and 1717.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3014 + 134 - 118 = 3030. Then, The greatest common factor of 3030 and 1717 is 101.
result = "101"


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

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

[User]
Apply venn to the sets |A|=7458, |B|=1684, |A∩B|=103 (compute |A∪B|), then apply gcf to the result and 15065.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 7458 + 1684 - 103 = 9039. Then, The greatest common factor of 9039 and 15065 is 3013.
result = "3013"


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

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

[User]
Apply venn to the sets |A|=2713, |B|=5753, |A∩B|=109 (compute |A∪B|), then apply gcf to the result and 3288.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2713 + 5753 - 109 = 8357. Then, The greatest common factor of 8357 and 3288 is 137.
result = "137"


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

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

[User]
Apply venn to the sets |A|=1971, |B|=419, |A∩B|=186 (compute |A∪B|), then apply gcf to the result and 4959.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1971 + 419 - 186 = 2204. Then, The greatest common factor of 2204 and 4959 is 551.
result = "551"


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

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

[User]
Apply venn to the sets |A|=6623, |B|=1399, |A∩B|=79 (compute |A∪B|), then apply gcf to the result and 507.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6623 + 1399 - 79 = 7943. Then, The greatest common factor of 7943 and 507 is 169.
result = "169"


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

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

[User]
Apply venn to the sets |A|=4192, |B|=299, |A∩B|=27 (compute |A∪B|), then apply gcf to the result and 17360.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4192 + 299 - 27 = 4464. Then, The greatest common factor of 4464 and 17360 is 496.
result = "496"


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

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

[User]
Apply venn to the sets |A|=4693, |B|=2791, |A∩B|=131 (compute |A∪B|), then apply gcf to the result and 6966.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4693 + 2791 - 131 = 7353. Then, The greatest common factor of 7353 and 6966 is 387.
result = "387"


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

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

[User]
Apply venn to the sets |A|=6024, |B|=1972, |A∩B|=138 (compute |A∪B|), then apply gcf to the result and 58935.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6024 + 1972 - 138 = 7858. Then, The greatest common factor of 7858 and 58935 is 3929.
result = "3929"


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

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

[User]
Apply venn to the sets |A|=1487, |B|=4624, |A∩B|=166 (compute |A∪B|), then apply gcf to the result and 38048.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1487 + 4624 - 166 = 5945. Then, The greatest common factor of 5945 and 38048 is 1189.
result = "1189"


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

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

[User]
Apply venn to the sets |A|=5798, |B|=4044, |A∩B|=80 (compute |A∪B|), then apply gcf to the result and 130160.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5798 + 4044 - 80 = 9762. Then, The greatest common factor of 9762 and 130160 is 3254.
result = "3254"


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

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

[User]
Apply venn to the sets |A|=9015, |B|=325, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 14144.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 9015 + 325 - 188 = 9152. Then, The greatest common factor of 9152 and 14144 is 832.
result = "832"


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

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

[User]
Apply venn to the sets |A|=82, |B|=966, |A∩B|=53 (compute |A∪B|), then apply gcf to the result and 5771.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 82 + 966 - 53 = 995. Then, The greatest common factor of 995 and 5771 is 199.
result = "199"


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

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

[User]
Apply venn to the sets |A|=3620, |B|=2832, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 7469.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3620 + 2832 - 50 = 6402. Then, The greatest common factor of 6402 and 7469 is 1067.
result = "1067"


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

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

[User]
Apply venn to the sets |A|=8196, |B|=1266, |A∩B|=67 (compute |A∪B|), then apply gcf to the result and 13153.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 8196 + 1266 - 67 = 9395. Then, The greatest common factor of 9395 and 13153 is 1879.
result = "1879"


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

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

[User]
Apply venn to the sets |A|=1495, |B|=6693, |A∩B|=192 (compute |A∪B|), then apply gcf to the result and 5997.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1495 + 6693 - 192 = 7996. Then, The greatest common factor of 7996 and 5997 is 1999.
result = "1999"


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

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

[User]
Apply venn to the sets |A|=886, |B|=2564, |A∩B|=129 (compute |A∪B|), then apply gcf to the result and 25461.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 886 + 2564 - 129 = 3321. Then, The greatest common factor of 3321 and 25461 is 1107.
result = "1107"


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

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

[User]
Apply venn to the sets |A|=6178, |B|=2764, |A∩B|=78 (compute |A∪B|), then apply gcf to the result and 39888.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6178 + 2764 - 78 = 8864. Then, The greatest common factor of 8864 and 39888 is 4432.
result = "4432"


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

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

[User]
Apply venn to the sets |A|=3213, |B|=565, |A∩B|=149 (compute |A∪B|), then apply gcf to the result and 2674.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3213 + 565 - 149 = 3629. Then, The greatest common factor of 3629 and 2674 is 191.
result = "191"


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

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

[User]
Apply venn to the sets |A|=4615, |B|=2687, |A∩B|=137 (compute |A∪B|), then apply gcf to the result and 4299.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4615 + 2687 - 137 = 7165. Then, The greatest common factor of 7165 and 4299 is 1433.
result = "1433"


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

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

[User]
Apply venn to the sets |A|=1076, |B|=1055, |A∩B|=66 (compute |A∪B|), then apply gcf to the result and 2950.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1076 + 1055 - 66 = 2065. Then, The greatest common factor of 2065 and 2950 is 295.
result = "295"


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

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

[User]
Apply venn to the sets |A|=1398, |B|=4379, |A∩B|=96 (compute |A∪B|), then apply gcf to the result and 11799.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1398 + 4379 - 96 = 5681. Then, The greatest common factor of 5681 and 11799 is 437.
result = "437"


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

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

[User]
Apply venn to the sets |A|=267, |B|=925, |A∩B|=25 (compute |A∪B|), then apply gcf to the result and 15560.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 267 + 925 - 25 = 1167. Then, The greatest common factor of 1167 and 15560 is 389.
result = "389"


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

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

[User]
Apply venn to the sets |A|=2492, |B|=1097, |A∩B|=81 (compute |A∪B|), then apply gcf to the result and 7893.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2492 + 1097 - 81 = 3508. Then, The greatest common factor of 3508 and 7893 is 877.
result = "877"


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

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

[User]
Apply venn to the sets |A|=4370, |B|=1111, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 31639.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4370 + 1111 - 26 = 5455. Then, The greatest common factor of 5455 and 31639 is 1091.
result = "1091"


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

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

[User]
Apply venn to the sets |A|=1284, |B|=6145, |A∩B|=116 (compute |A∪B|), then apply gcf to the result and 3399.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1284 + 6145 - 116 = 7313. Then, The greatest common factor of 7313 and 3399 is 103.
result = "103"


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

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

[User]
Apply venn to the sets |A|=4098, |B|=2159, |A∩B|=175 (compute |A∪B|), then apply gcf to the result and 9123.
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4098 + 2159 - 175 = 6082. Then, The greatest common factor of 6082 and 9123 is 3041.
result = "3041"