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

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

[User]
Apply lcm to 101 and 13.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 101 and 13 is 1313.
result = "1313"


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

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

[User]
Apply lcm to 136 and 22.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 136 and 22 is 1496.
result = "1496"


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

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

[User]
Apply lcm to 19 and 143.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 19 and 143 is 2717.
result = "2717"


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

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

[User]
Apply lcm to 124 and 46.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 124 and 46 is 2852.
result = "2852"


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

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

[User]
Apply lcm to 148 and 76.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 148 and 76 is 2812.
result = "2812"


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

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

[User]
Apply lcm to 107 and 33.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 107 and 33 is 3531.
result = "3531"


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

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

[User]
Apply lcm to 79 and 101.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 79 and 101 is 7979.
result = "7979"


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

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

[User]
Apply lcm to 189 and 171.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 189 and 171 is 3591.
result = "3591"


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

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

[User]
Apply lcm to 35 and 160.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 35 and 160 is 1120.
result = "1120"


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

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

[User]
Apply lcm to 111 and 54.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 111 and 54 is 1998.
result = "1998"


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

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

[User]
Apply venn to the sets |A|=785, |B|=8255, |A∩B|=174 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 785 + 8255 - 174 = 8866.
result = "8866"


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

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

[User]
Apply venn to the sets |A|=2071, |B|=5357, |A∩B|=129 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2071 + 5357 - 129 = 7299.
result = "7299"


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

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

[User]
Apply venn to the sets |A|=699, |B|=633, |A∩B|=102 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 699 + 633 - 102 = 1230.
result = "1230"


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

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

[User]
Apply venn to the sets |A|=189, |B|=3829, |A∩B|=139 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 189 + 3829 - 139 = 3879.
result = "3879"


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

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

[User]
Apply venn to the sets |A|=628, |B|=1808, |A∩B|=87 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 628 + 1808 - 87 = 2349.
result = "2349"


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

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

[User]
Apply venn to the sets |A|=1747, |B|=2032, |A∩B|=127 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1747 + 2032 - 127 = 3652.
result = "3652"


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

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

[User]
Apply venn to the sets |A|=5937, |B|=3853, |A∩B|=29 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5937 + 3853 - 29 = 9761.
result = "9761"


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

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

[User]
Apply venn to the sets |A|=2389, |B|=2425, |A∩B|=160 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2389 + 2425 - 160 = 4654.
result = "4654"


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

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

[User]
Apply venn to the sets |A|=3187, |B|=3717, |A∩B|=105 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3187 + 3717 - 105 = 6799.
result = "6799"


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

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

[User]
Apply venn to the sets |A|=1444, |B|=4496, |A∩B|=192 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1444 + 4496 - 192 = 5748.
result = "5748"


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

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

[User]
Apply venn to the sets |A|=847, |B|=1393, |A∩B|=113 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 847 + 1393 - 113 = 2127.
result = "2127"


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

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

[User]
Apply venn to the sets |A|=4279, |B|=3742, |A∩B|=134 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4279 + 3742 - 134 = 7887.
result = "7887"


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

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

[User]
Apply venn to the sets |A|=6138, |B|=3862, |A∩B|=60 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6138 + 3862 - 60 = 9940.
result = "9940"


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

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

[User]
Apply venn to the sets |A|=328, |B|=2085, |A∩B|=182 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 328 + 2085 - 182 = 2231.
result = "2231"


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

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

[User]
Apply venn to the sets |A|=2272, |B|=1763, |A∩B|=163 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2272 + 1763 - 163 = 3872.
result = "3872"


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

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

[User]
Apply venn to the sets |A|=1853, |B|=204, |A∩B|=66 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1853 + 204 - 66 = 1991.
result = "1991"


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

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

[User]
Apply venn to the sets |A|=188, |B|=1908, |A∩B|=57 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 188 + 1908 - 57 = 2039.
result = "2039"


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

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

[User]
Apply venn to the sets |A|=3482, |B|=5905, |A∩B|=152 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3482 + 5905 - 152 = 9235.
result = "9235"


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

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

[User]
Apply venn to the sets |A|=6495, |B|=1336, |A∩B|=28 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6495 + 1336 - 28 = 7803.
result = "7803"


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

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

[User]
Apply venn to the sets |A|=3819, |B|=4461, |A∩B|=82 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3819 + 4461 - 82 = 8198.
result = "8198"


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

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

[User]
Apply venn to the sets |A|=2174, |B|=3693, |A∩B|=37 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2174 + 3693 - 37 = 5830.
result = "5830"


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

[System] You 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|=1557, |A∩B|=28 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3470 + 1557 - 28 = 4999.
result = "4999"


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

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

[User]
Apply venn to the sets |A|=2652, |B|=2787, |A∩B|=46 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2652 + 2787 - 46 = 5393.
result = "5393"


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

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

[User]
Apply venn to the sets |A|=5705, |B|=1411, |A∩B|=150 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5705 + 1411 - 150 = 6966.
result = "6966"


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

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

[User]
Apply venn to the sets |A|=103, |B|=64, |A∩B|=53 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 103 + 64 - 53 = 114.
result = "114"


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

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

[User]
Apply venn to the sets |A|=182, |B|=73, |A∩B|=53 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 182 + 73 - 53 = 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|=1234, |B|=323, |A∩B|=144 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1234 + 323 - 144 = 1413.
result = "1413"


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

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

[User]
Apply venn to the sets |A|=5437, |B|=3947, |A∩B|=57 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5437 + 3947 - 57 = 9327.
result = "9327"


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

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

[User]
Apply venn to the sets |A|=5187, |B|=3822, |A∩B|=162 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5187 + 3822 - 162 = 8847.
result = "8847"


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

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

[User]
Apply venn to the sets |A|=1144, |B|=7157, |A∩B|=194 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1144 + 7157 - 194 = 8107.
result = "8107"


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

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

[User]
Apply venn to the sets |A|=3131, |B|=3999, |A∩B|=106 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3131 + 3999 - 106 = 7024.
result = "7024"


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

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

[User]
Apply venn to the sets |A|=102, |B|=104, |A∩B|=78 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 102 + 104 - 78 = 128.
result = "128"


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

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

[User]
Apply venn to the sets |A|=2964, |B|=5774, |A∩B|=44 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2964 + 5774 - 44 = 8694.
result = "8694"


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

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

[User]
Apply venn to the sets |A|=222, |B|=192, |A∩B|=183 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 222 + 192 - 183 = 231.
result = "231"


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

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

[User]
Apply venn to the sets |A|=515, |B|=2421, |A∩B|=70 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 515 + 2421 - 70 = 2866.
result = "2866"


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

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

[User]
Apply venn to the sets |A|=1103, |B|=4461, |A∩B|=137 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1103 + 4461 - 137 = 5427.
result = "5427"


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

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

[User]
Apply venn to the sets |A|=1925, |B|=7562, |A∩B|=123 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1925 + 7562 - 123 = 9364.
result = "9364"


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

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

[User]
Apply venn to the sets |A|=421, |B|=9127, |A∩B|=33 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 421 + 9127 - 33 = 9515.
result = "9515"


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

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

[User]
Apply venn to the sets |A|=216, |B|=547, |A∩B|=35 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 216 + 547 - 35 = 728.
result = "728"


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

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

[User]
Apply venn to the sets |A|=1324, |B|=685, |A∩B|=61 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1324 + 685 - 61 = 1948.
result = "1948"


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

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

[User]
Apply venn to the sets |A|=173, |B|=3731, |A∩B|=109 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 173 + 3731 - 109 = 3795.
result = "3795"


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

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

[User]
Apply venn to the sets |A|=2350, |B|=1433, |A∩B|=108 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2350 + 1433 - 108 = 3675.
result = "3675"


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

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

[User]
Apply venn to the sets |A|=230, |B|=305, |A∩B|=198 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 230 + 305 - 198 = 337.
result = "337"


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

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

[User]
Apply venn to the sets |A|=3007, |B|=770, |A∩B|=136 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3007 + 770 - 136 = 3641.
result = "3641"


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

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

[User]
Apply venn to the sets |A|=3063, |B|=5589, |A∩B|=185 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3063 + 5589 - 185 = 8467.
result = "8467"


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

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

[User]
Apply venn to the sets |A|=2923, |B|=2386, |A∩B|=192 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2923 + 2386 - 192 = 5117.
result = "5117"


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

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

[User]
Apply venn to the sets |A|=343, |B|=723, |A∩B|=156 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 343 + 723 - 156 = 910.
result = "910"


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

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

[User]
Apply venn to the sets |A|=1054, |B|=919, |A∩B|=195 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1054 + 919 - 195 = 1778.
result = "1778"


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

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

[User]
Apply venn to the sets |A|=1968, |B|=3042, |A∩B|=51 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1968 + 3042 - 51 = 4959.
result = "4959"


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

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

[User]
Apply venn to the sets |A|=1350, |B|=690, |A∩B|=188 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1350 + 690 - 188 = 1852.
result = "1852"


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

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

[User]
Apply venn to the sets |A|=186, |B|=334, |A∩B|=170 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 186 + 334 - 170 = 350.
result = "350"


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

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

[User]
Apply venn to the sets |A|=5789, |B|=2741, |A∩B|=197 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5789 + 2741 - 197 = 8333.
result = "8333"


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

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

[User]
Apply venn to the sets |A|=6305, |B|=3635, |A∩B|=183 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6305 + 3635 - 183 = 9757.
result = "9757"


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

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

[User]
Apply venn to the sets |A|=5200, |B|=2513, |A∩B|=177 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5200 + 2513 - 177 = 7536.
result = "7536"


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

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

[User]
Apply venn to the sets |A|=328, |B|=1492, |A∩B|=70 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 328 + 1492 - 70 = 1750.
result = "1750"


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

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

[User]
Apply venn to the sets |A|=2226, |B|=6006, |A∩B|=46 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2226 + 6006 - 46 = 8186.
result = "8186"


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

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

[User]
Apply venn to the sets |A|=619, |B|=5678, |A∩B|=78 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 619 + 5678 - 78 = 6219.
result = "6219"


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

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

[User]
Apply venn to the sets |A|=2849, |B|=5134, |A∩B|=123 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2849 + 5134 - 123 = 7860.
result = "7860"


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

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

[User]
Apply venn to the sets |A|=1341, |B|=4260, |A∩B|=103 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1341 + 4260 - 103 = 5498.
result = "5498"


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

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

[User]
Apply venn to the sets |A|=5203, |B|=4012, |A∩B|=152 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5203 + 4012 - 152 = 9063.
result = "9063"


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

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

[User]
Apply venn to the sets |A|=3539, |B|=2144, |A∩B|=137 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3539 + 2144 - 137 = 5546.
result = "5546"


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

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

[User]
Apply venn to the sets |A|=1781, |B|=617, |A∩B|=54 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1781 + 617 - 54 = 2344.
result = "2344"


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

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

[User]
Apply venn to the sets |A|=1609, |B|=155, |A∩B|=27 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1609 + 155 - 27 = 1737.
result = "1737"


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

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

[User]
Apply venn to the sets |A|=8261, |B|=1322, |A∩B|=39 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 8261 + 1322 - 39 = 9544.
result = "9544"


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

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

[User]
Apply venn to the sets |A|=3137, |B|=5509, |A∩B|=188 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3137 + 5509 - 188 = 8458.
result = "8458"


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

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

[User]
Apply venn to the sets |A|=1138, |B|=6880, |A∩B|=46 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1138 + 6880 - 46 = 7972.
result = "7972"


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

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

[User]
Apply venn to the sets |A|=1511, |B|=763, |A∩B|=134 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1511 + 763 - 134 = 2140.
result = "2140"


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

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

[User]
Apply venn to the sets |A|=1897, |B|=594, |A∩B|=170 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1897 + 594 - 170 = 2321.
result = "2321"


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

[System] You 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|=469, |A∩B|=133 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 558 + 469 - 133 = 894.
result = "894"


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

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

[User]
Apply venn to the sets |A|=2161, |B|=5181, |A∩B|=43 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2161 + 5181 - 43 = 7299.
result = "7299"


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

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

[User]
Apply venn to the sets |A|=1668, |B|=6179, |A∩B|=26 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1668 + 6179 - 26 = 7821.
result = "7821"


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

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

[User]
Apply venn to the sets |A|=622, |B|=1992, |A∩B|=78 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 622 + 1992 - 78 = 2536.
result = "2536"


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

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

[User]
Apply venn to the sets |A|=6546, |B|=2760, |A∩B|=182 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6546 + 2760 - 182 = 9124.
result = "9124"


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

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

[User]
Apply venn to the sets |A|=2386, |B|=566, |A∩B|=161 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2386 + 566 - 161 = 2791.
result = "2791"


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

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

[User]
Apply venn to the sets |A|=2189, |B|=710, |A∩B|=184 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2189 + 710 - 184 = 2715.
result = "2715"


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

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

[User]
Apply venn to the sets |A|=2334, |B|=3509, |A∩B|=137 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2334 + 3509 - 137 = 5706.
result = "5706"


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

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

[User]
Apply venn to the sets |A|=4061, |B|=2670, |A∩B|=101 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4061 + 2670 - 101 = 6630.
result = "6630"


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

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

[User]
Apply venn to the sets |A|=1758, |B|=7209, |A∩B|=83 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1758 + 7209 - 83 = 8884.
result = "8884"


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

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

[User]
Apply venn to the sets |A|=1063, |B|=3109, |A∩B|=65 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1063 + 3109 - 65 = 4107.
result = "4107"


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

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

[User]
Apply venn to the sets |A|=1162, |B|=5679, |A∩B|=96 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1162 + 5679 - 96 = 6745.
result = "6745"


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

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

[User]
Apply venn to the sets |A|=5591, |B|=723, |A∩B|=157 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5591 + 723 - 157 = 6157.
result = "6157"


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

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

[User]
Apply venn to the sets |A|=1293, |B|=1752, |A∩B|=88 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1293 + 1752 - 88 = 2957.
result = "2957"


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

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

[User]
Apply venn to the sets |A|=773, |B|=6802, |A∩B|=52 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 773 + 6802 - 52 = 7523.
result = "7523"


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

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

[User]
Apply venn to the sets |A|=1244, |B|=528, |A∩B|=103 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1244 + 528 - 103 = 1669.
result = "1669"


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

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

[User]
Apply venn to the sets |A|=377, |B|=7227, |A∩B|=35 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 377 + 7227 - 35 = 7569.
result = "7569"


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

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

[User]
Apply venn to the sets |A|=7323, |B|=1365, |A∩B|=27 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 7323 + 1365 - 27 = 8661.
result = "8661"


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

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

[User]
Apply venn to the sets |A|=6150, |B|=2035, |A∩B|=133 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6150 + 2035 - 133 = 8052.
result = "8052"


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

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

[User]
Apply venn to the sets |A|=229, |B|=1529, |A∩B|=171 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 229 + 1529 - 171 = 1587.
result = "1587"


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

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

[User]
Apply venn to the sets |A|=1292, |B|=956, |A∩B|=126 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1292 + 956 - 126 = 2122.
result = "2122"


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

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

[User]
Apply venn to the sets |A|=912, |B|=589, |A∩B|=145 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 912 + 589 - 145 = 1356.
result = "1356"


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

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

[User]
Apply venn to the sets |A|=3595, |B|=716, |A∩B|=139 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3595 + 716 - 139 = 4172.
result = "4172"


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

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

[User]
Apply venn to the sets |A|=257, |B|=1580, |A∩B|=46 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 257 + 1580 - 46 = 1791.
result = "1791"


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

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

[User]
Apply venn to the sets |A|=276, |B|=2687, |A∩B|=184 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 276 + 2687 - 184 = 2779.
result = "2779"


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

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

[User]
Apply venn to the sets |A|=316, |B|=200, |A∩B|=73 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 316 + 200 - 73 = 443.
result = "443"


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

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

[User]
Apply venn to the sets |A|=4943, |B|=1111, |A∩B|=36 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4943 + 1111 - 36 = 6018.
result = "6018"


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

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

[User]
Apply venn to the sets |A|=2016, |B|=1811, |A∩B|=171 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2016 + 1811 - 171 = 3656.
result = "3656"


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

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

[User]
Apply venn to the sets |A|=432, |B|=2818, |A∩B|=72 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 432 + 2818 - 72 = 3178.
result = "3178"


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

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

[User]
Apply venn to the sets |A|=1668, |B|=5205, |A∩B|=59 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1668 + 5205 - 59 = 6814.
result = "6814"


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

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

[User]
Apply venn to the sets |A|=4729, |B|=3469, |A∩B|=54 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4729 + 3469 - 54 = 8144.
result = "8144"


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

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

[User]
Apply venn to the sets |A|=1419, |B|=8333, |A∩B|=174 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1419 + 8333 - 174 = 9578.
result = "9578"


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

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

[User]
Apply venn to the sets |A|=3369, |B|=2863, |A∩B|=163 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3369 + 2863 - 163 = 6069.
result = "6069"


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

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

[User]
Apply venn to the sets |A|=3285, |B|=2937, |A∩B|=146 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3285 + 2937 - 146 = 6076.
result = "6076"


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

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

[User]
Apply venn to the sets |A|=5602, |B|=2590, |A∩B|=122 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5602 + 2590 - 122 = 8070.
result = "8070"


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

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

[User]
Apply venn to the sets |A|=1747, |B|=7644, |A∩B|=24 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1747 + 7644 - 24 = 9367.
result = "9367"


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

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

[User]
Apply venn to the sets |A|=3015, |B|=5404, |A∩B|=26 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3015 + 5404 - 26 = 8393.
result = "8393"


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

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

[User]
Apply venn to the sets |A|=5716, |B|=592, |A∩B|=148 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5716 + 592 - 148 = 6160.
result = "6160"


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

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

[User]
Apply venn to the sets |A|=1869, |B|=4107, |A∩B|=172 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1869 + 4107 - 172 = 5804.
result = "5804"


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

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

[User]
Apply venn to the sets |A|=474, |B|=2263, |A∩B|=126 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 474 + 2263 - 126 = 2611.
result = "2611"


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

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

[User]
Apply venn to the sets |A|=4616, |B|=1313, |A∩B|=147 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4616 + 1313 - 147 = 5782.
result = "5782"


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

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

[User]
Apply venn to the sets |A|=675, |B|=69, |A∩B|=36 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 675 + 69 - 36 = 708.
result = "708"


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

[System] You 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|=1498, |A∩B|=34 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 225 + 1498 - 34 = 1689.
result = "1689"


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

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

[User]
Apply venn to the sets |A|=223, |B|=59, |A∩B|=24 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 223 + 59 - 24 = 258.
result = "258"


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

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

[User]
Apply venn to the sets |A|=2324, |B|=844, |A∩B|=141 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2324 + 844 - 141 = 3027.
result = "3027"


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

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

[User]
Apply venn to the sets |A|=523, |B|=6810, |A∩B|=107 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 523 + 6810 - 107 = 7226.
result = "7226"


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

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

[User]
Apply venn to the sets |A|=243, |B|=734, |A∩B|=192 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 243 + 734 - 192 = 785.
result = "785"


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

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

[User]
Apply venn to the sets |A|=943, |B|=6407, |A∩B|=195 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 943 + 6407 - 195 = 7155.
result = "7155"


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

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

[User]
Apply venn to the sets |A|=460, |B|=1397, |A∩B|=21 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 460 + 1397 - 21 = 1836.
result = "1836"


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

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

[User]
Apply venn to the sets |A|=577, |B|=127, |A∩B|=74 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 577 + 127 - 74 = 630.
result = "630"


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

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

[User]
Apply venn to the sets |A|=991, |B|=3663, |A∩B|=193 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 991 + 3663 - 193 = 4461.
result = "4461"


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

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

[User]
Apply venn to the sets |A|=1213, |B|=921, |A∩B|=153 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1213 + 921 - 153 = 1981.
result = "1981"


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

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

[User]
Apply venn to the sets |A|=1573, |B|=2349, |A∩B|=55 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1573 + 2349 - 55 = 3867.
result = "3867"


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

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

[User]
Apply venn to the sets |A|=3534, |B|=703, |A∩B|=123 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3534 + 703 - 123 = 4114.
result = "4114"


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

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

[User]
Apply venn to the sets |A|=1723, |B|=110, |A∩B|=20 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1723 + 110 - 20 = 1813.
result = "1813"


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

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

[User]
Apply venn to the sets |A|=2375, |B|=3320, |A∩B|=29 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2375 + 3320 - 29 = 5666.
result = "5666"


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

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

[User]
Apply venn to the sets |A|=3017, |B|=175, |A∩B|=47 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3017 + 175 - 47 = 3145.
result = "3145"


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

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

[User]
Apply venn to the sets |A|=2051, |B|=2915, |A∩B|=179 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2051 + 2915 - 179 = 4787.
result = "4787"


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

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

[User]
Apply venn to the sets |A|=2762, |B|=3759, |A∩B|=73 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2762 + 3759 - 73 = 6448.
result = "6448"


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

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

[User]
Apply venn to the sets |A|=8325, |B|=1440, |A∩B|=33 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 8325 + 1440 - 33 = 9732.
result = "9732"


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

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

[User]
Apply venn to the sets |A|=440, |B|=867, |A∩B|=154 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 440 + 867 - 154 = 1153.
result = "1153"


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

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

[User]
Apply venn to the sets |A|=6729, |B|=3097, |A∩B|=167 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6729 + 3097 - 167 = 9659.
result = "9659"


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

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

[User]
Apply venn to the sets |A|=4198, |B|=882, |A∩B|=197 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4198 + 882 - 197 = 4883.
result = "4883"


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

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

[User]
Apply venn to the sets |A|=5051, |B|=4637, |A∩B|=142 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5051 + 4637 - 142 = 9546.
result = "9546"


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

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

[User]
Apply venn to the sets |A|=1403, |B|=6155, |A∩B|=48 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1403 + 6155 - 48 = 7510.
result = "7510"


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

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

[User]
Apply venn to the sets |A|=3737, |B|=1381, |A∩B|=174 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3737 + 1381 - 174 = 4944.
result = "4944"


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

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

[User]
Apply venn to the sets |A|=2164, |B|=1254, |A∩B|=167 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2164 + 1254 - 167 = 3251.
result = "3251"


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

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

[User]
Apply venn to the sets |A|=4640, |B|=4150, |A∩B|=50 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4640 + 4150 - 50 = 8740.
result = "8740"


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

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

[User]
Apply venn to the sets |A|=727, |B|=684, |A∩B|=94 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 727 + 684 - 94 = 1317.
result = "1317"


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

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

[User]
Apply venn to the sets |A|=5239, |B|=268, |A∩B|=76 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5239 + 268 - 76 = 5431.
result = "5431"


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

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

[User]
Apply venn to the sets |A|=293, |B|=396, |A∩B|=150 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 293 + 396 - 150 = 539.
result = "539"


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

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

[User]
Apply venn to the sets |A|=664, |B|=1394, |A∩B|=73 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 664 + 1394 - 73 = 1985.
result = "1985"


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

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

[User]
Apply venn to the sets |A|=3875, |B|=4694, |A∩B|=89 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3875 + 4694 - 89 = 8480.
result = "8480"


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

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

[User]
Apply venn to the sets |A|=3758, |B|=1244, |A∩B|=158 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3758 + 1244 - 158 = 4844.
result = "4844"


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

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

[User]
Apply venn to the sets |A|=943, |B|=8962, |A∩B|=43 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 943 + 8962 - 43 = 9862.
result = "9862"


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

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

[User]
Apply venn to the sets |A|=4195, |B|=783, |A∩B|=109 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 4195 + 783 - 109 = 4869.
result = "4869"


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

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

[User]
Apply venn to the sets |A|=5044, |B|=886, |A∩B|=24 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5044 + 886 - 24 = 5906.
result = "5906"


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

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

[User]
Apply venn to the sets |A|=3397, |B|=1262, |A∩B|=73 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3397 + 1262 - 73 = 4586.
result = "4586"


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

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

[User]
Apply venn to the sets |A|=752, |B|=197, |A∩B|=113 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 752 + 197 - 113 = 836.
result = "836"


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

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

[User]
Apply venn to the sets |A|=374, |B|=332, |A∩B|=179 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 374 + 332 - 179 = 527.
result = "527"


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

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

[User]
Apply venn to the sets |A|=601, |B|=2348, |A∩B|=21 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 601 + 2348 - 21 = 2928.
result = "2928"


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

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

[User]
Apply venn to the sets |A|=7660, |B|=2051, |A∩B|=124 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 7660 + 2051 - 124 = 9587.
result = "9587"


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

[System] You 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|=2456, |A∩B|=39 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 820 + 2456 - 39 = 3237.
result = "3237"


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

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

[User]
Apply venn to the sets |A|=1534, |B|=3529, |A∩B|=74 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1534 + 3529 - 74 = 4989.
result = "4989"


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

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

[User]
Apply venn to the sets |A|=3299, |B|=789, |A∩B|=137 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3299 + 789 - 137 = 3951.
result = "3951"


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

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

[User]
Apply venn to the sets |A|=499, |B|=205, |A∩B|=133 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 499 + 205 - 133 = 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|=1834, |B|=916, |A∩B|=108 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1834 + 916 - 108 = 2642.
result = "2642"


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

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

[User]
Apply venn to the sets |A|=573, |B|=2912, |A∩B|=102 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 573 + 2912 - 102 = 3383.
result = "3383"


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

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

[User]
Apply venn to the sets |A|=855, |B|=2615, |A∩B|=134 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 855 + 2615 - 134 = 3336.
result = "3336"


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

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

[User]
Apply venn to the sets |A|=1104, |B|=754, |A∩B|=189 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1104 + 754 - 189 = 1669.
result = "1669"


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

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

[User]
Apply venn to the sets |A|=6953, |B|=1695, |A∩B|=138 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6953 + 1695 - 138 = 8510.
result = "8510"


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

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

[User]
Apply venn to the sets |A|=3158, |B|=1413, |A∩B|=130 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3158 + 1413 - 130 = 4441.
result = "4441"


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

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

[User]
Apply venn to the sets |A|=115, |B|=113, |A∩B|=75 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 115 + 113 - 75 = 153.
result = "153"


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

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

[User]
Apply venn to the sets |A|=5284, |B|=57, |A∩B|=42 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5284 + 57 - 42 = 5299.
result = "5299"


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

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

[User]
Apply venn to the sets |A|=1179, |B|=3003, |A∩B|=44 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1179 + 3003 - 44 = 4138.
result = "4138"


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

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

[User]
Apply venn to the sets |A|=1500, |B|=1681, |A∩B|=177 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1500 + 1681 - 177 = 3004.
result = "3004"


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

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

[User]
Apply venn to the sets |A|=5374, |B|=2242, |A∩B|=103 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5374 + 2242 - 103 = 7513.
result = "7513"


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

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

[User]
Apply venn to the sets |A|=3066, |B|=1139, |A∩B|=50 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3066 + 1139 - 50 = 4155.
result = "4155"


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

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

[User]
Apply venn to the sets |A|=2792, |B|=932, |A∩B|=104 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2792 + 932 - 104 = 3620.
result = "3620"


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

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

[User]
Apply venn to the sets |A|=3495, |B|=3091, |A∩B|=74 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3495 + 3091 - 74 = 6512.
result = "6512"


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

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

[User]
Apply venn to the sets |A|=3321, |B|=6078, |A∩B|=48 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3321 + 6078 - 48 = 9351.
result = "9351"


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

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

[User]
Apply venn to the sets |A|=1978, |B|=4657, |A∩B|=195 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1978 + 4657 - 195 = 6440.
result = "6440"


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

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

[User]
Apply venn to the sets |A|=1558, |B|=7646, |A∩B|=50 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1558 + 7646 - 50 = 9154.
result = "9154"


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

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

[User]
Apply venn to the sets |A|=2432, |B|=744, |A∩B|=176 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2432 + 744 - 176 = 3000.
result = "3000"


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

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

[User]
Apply venn to the sets |A|=1838, |B|=2301, |A∩B|=77 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1838 + 2301 - 77 = 4062.
result = "4062"


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

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

[User]
Apply venn to the sets |A|=2218, |B|=3837, |A∩B|=62 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2218 + 3837 - 62 = 5993.
result = "5993"


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

[System] You 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|=1495, |A∩B|=193 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 848 + 1495 - 193 = 2150.
result = "2150"


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

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

[User]
Apply venn to the sets |A|=223, |B|=2806, |A∩B|=97 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 223 + 2806 - 97 = 2932.
result = "2932"


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

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

[User]
Apply venn to the sets |A|=92, |B|=162, |A∩B|=63 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 92 + 162 - 63 = 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|=2759, |B|=4121, |A∩B|=196 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2759 + 4121 - 196 = 6684.
result = "6684"


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

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

[User]
Apply venn to the sets |A|=929, |B|=176, |A∩B|=38 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 929 + 176 - 38 = 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|=2353, |B|=6542, |A∩B|=176 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2353 + 6542 - 176 = 8719.
result = "8719"


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

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

[User]
Apply venn to the sets |A|=491, |B|=645, |A∩B|=173 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 491 + 645 - 173 = 963.
result = "963"


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

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

[User]
Apply venn to the sets |A|=2330, |B|=7320, |A∩B|=38 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2330 + 7320 - 38 = 9612.
result = "9612"


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

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

[User]
Apply venn to the sets |A|=1538, |B|=4789, |A∩B|=108 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1538 + 4789 - 108 = 6219.
result = "6219"


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

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

[User]
Apply venn to the sets |A|=2642, |B|=4227, |A∩B|=154 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2642 + 4227 - 154 = 6715.
result = "6715"


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

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

[User]
Apply venn to the sets |A|=1004, |B|=6223, |A∩B|=95 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1004 + 6223 - 95 = 7132.
result = "7132"


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

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

[User]
Apply venn to the sets |A|=5049, |B|=275, |A∩B|=137 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 5049 + 275 - 137 = 5187.
result = "5187"


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

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

[User]
Apply venn to the sets |A|=3184, |B|=3600, |A∩B|=106 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3184 + 3600 - 106 = 6678.
result = "6678"


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

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

[User]
Apply venn to the sets |A|=1889, |B|=5264, |A∩B|=102 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1889 + 5264 - 102 = 7051.
result = "7051"


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

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

[User]
Apply venn to the sets |A|=452, |B|=6392, |A∩B|=102 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 452 + 6392 - 102 = 6742.
result = "6742"


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

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

[User]
Apply venn to the sets |A|=2683, |B|=2936, |A∩B|=36 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2683 + 2936 - 36 = 5583.
result = "5583"


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

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

[User]
Apply venn to the sets |A|=1187, |B|=831, |A∩B|=36 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1187 + 831 - 36 = 1982.
result = "1982"


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

[System] You 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|=3329, |A∩B|=154 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 2000 + 3329 - 154 = 5175.
result = "5175"


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

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

[User]
Apply venn to the sets |A|=3072, |B|=6155, |A∩B|=112 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3072 + 6155 - 112 = 9115.
result = "9115"


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

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

[User]
Apply venn to the sets |A|=6661, |B|=776, |A∩B|=144 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 6661 + 776 - 144 = 7293.
result = "7293"


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

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

[User]
Apply venn to the sets |A|=3780, |B|=4576, |A∩B|=53 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3780 + 4576 - 53 = 8303.
result = "8303"


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

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

[User]
Apply venn to the sets |A|=3203, |B|=2326, |A∩B|=35 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 3203 + 2326 - 35 = 5494.
result = "5494"


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

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

[User]
Apply venn to the sets |A|=717, |B|=1901, |A∩B|=155 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 717 + 1901 - 155 = 2463.
result = "2463"


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

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

[User]
Apply venn to the sets |A|=593, |B|=2177, |A∩B|=52 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 593 + 2177 - 52 = 2718.
result = "2718"


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

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

[User]
Apply venn to the sets |A|=462, |B|=6240, |A∩B|=164 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 462 + 6240 - 164 = 6538.
result = "6538"


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

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

[User]
Apply venn to the sets |A|=1775, |B|=1004, |A∩B|=56 (compute |A∪B|).
Show your working, then end with:
result = "<...>"

Response:
|A ∪ B| = |A| + |B| - |A∩B| = 1775 + 1004 - 56 = 2723.
result = "2723"