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

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

[User]
Apply multiply to 41 and 18, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
Multiply 41 by 18: 41 * 18 = 738. Then, The least common multiple of 738 and 24 is 2952.
result = "2952"


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

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

[User]
Apply multiply to 43 and 12, then apply lcm to the result and 38.
Show your working, then end with:
result = "<...>"

Response:
Multiply 43 by 12: 43 * 12 = 516. Then, The least common multiple of 516 and 38 is 9804.
result = "9804"


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

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

[User]
Apply multiply to 20 and 26, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
Multiply 20 by 26: 20 * 26 = 520. Then, The least common multiple of 520 and 12 is 1560.
result = "1560"


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

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

[User]
Apply multiply to 43 and 20, then apply lcm to the result and 28.
Show your working, then end with:
result = "<...>"

Response:
Multiply 43 by 20: 43 * 20 = 860. Then, The least common multiple of 860 and 28 is 6020.
result = "6020"


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

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

[User]
Apply multiply to 57 and 17, then apply lcm to the result and 85.
Show your working, then end with:
result = "<...>"

Response:
Multiply 57 by 17: 57 * 17 = 969. Then, The least common multiple of 969 and 85 is 4845.
result = "4845"


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

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

[User]
Apply multiply to 13 and 19, then apply lcm to the result and 25.
Show your working, then end with:
result = "<...>"

Response:
Multiply 13 by 19: 13 * 19 = 247. Then, The least common multiple of 247 and 25 is 6175.
result = "6175"


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

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

[User]
Apply multiply to 22 and 41, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
Multiply 22 by 41: 22 * 41 = 902. Then, The least common multiple of 902 and 5 is 4510.
result = "4510"


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

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

[User]
Apply multiply to 54 and 12, then apply lcm to the result and 84.
Show your working, then end with:
result = "<...>"

Response:
Multiply 54 by 12: 54 * 12 = 648. Then, The least common multiple of 648 and 84 is 4536.
result = "4536"


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

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

[User]
Apply multiply to 25 and 16, then apply lcm to the result and 13.
Show your working, then end with:
result = "<...>"

Response:
Multiply 25 by 16: 25 * 16 = 400. Then, The least common multiple of 400 and 13 is 5200.
result = "5200"


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

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

[User]
Apply multiply to 12 and 22, then apply lcm to the result and 38.
Show your working, then end with:
result = "<...>"

Response:
Multiply 12 by 22: 12 * 22 = 264. Then, The least common multiple of 264 and 38 is 5016.
result = "5016"


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

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

[User]
Apply multiply to 19 and 18, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
Multiply 19 by 18: 19 * 18 = 342. Then, The least common multiple of 342 and 5 is 1710.
result = "1710"


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

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

[User]
Apply multiply to 37 and 18, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
Multiply 37 by 18: 37 * 18 = 666. Then, The least common multiple of 666 and 14 is 4662.
result = "4662"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 185 and 23, then apply gcf to the result and 3910.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 185 and 23 is 4255. Then, The greatest common factor of 4255 and 3910 is 115.
result = "115"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 63 and 112, then apply gcf to the result and 1152.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 63 and 112 is 1008. Then, The greatest common factor of 1008 and 1152 is 144.
result = "144"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 39 and 95, then apply gcf to the result and 4446.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 39 and 95 is 3705. Then, The greatest common factor of 3705 and 4446 is 741.
result = "741"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 63 and 41, then apply gcf to the result and 6888.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 63 and 41 is 2583. Then, The greatest common factor of 2583 and 6888 is 861.
result = "861"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 118 and 16, then apply gcf to the result and 12744.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 118 and 16 is 944. Then, The greatest common factor of 944 and 12744 is 472.
result = "472"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 58 and 12, then apply gcf to the result and 812.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 58 and 12 is 348. Then, The greatest common factor of 348 and 812 is 116.
result = "116"


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

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

[User]
Apply lcm to 18 and 131, then apply gcf to the result and 12183.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 18 and 131 is 2358. Then, The greatest common factor of 2358 and 12183 is 393.
result = "393"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 90 and 185, then apply gcf to the result and 34410.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 90 and 185 is 3330. Then, The greatest common factor of 3330 and 34410 is 1110.
result = "1110"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 180 and 16, then apply gcf to the result and 864.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 180 and 16 is 720. Then, The greatest common factor of 720 and 864 is 144.
result = "144"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 55 and 122, then apply gcf to the result and 97295.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 55 and 122 is 6710. Then, The greatest common factor of 6710 and 97295 is 3355.
result = "3355"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 51 and 14, then apply gcf to the result and 13923.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 51 and 14 is 714. Then, The greatest common factor of 714 and 13923 is 357.
result = "357"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 103 and 76, then apply gcf to the result and 9785.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 103 and 76 is 7828. Then, The greatest common factor of 7828 and 9785 is 1957.
result = "1957"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 18 and 83, then apply gcf to the result and 8715.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 18 and 83 is 1494. Then, The greatest common factor of 1494 and 8715 is 249.
result = "249"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 46 and 94, then apply gcf to the result and 39997.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 46 and 94 is 2162. Then, The greatest common factor of 2162 and 39997 is 1081.
result = "1081"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 90 and 176, then apply gcf to the result and 18216.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 90 and 176 is 7920. Then, The greatest common factor of 7920 and 18216 is 792.
result = "792"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 196 and 36, then apply gcf to the result and 7308.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 196 and 36 is 1764. Then, The greatest common factor of 1764 and 7308 is 252.
result = "252"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 34 and 69, then apply gcf to the result and 3264.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 34 and 69 is 2346. Then, The greatest common factor of 2346 and 3264 is 102.
result = "102"


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

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

[User]
Apply lcm to 47 and 168, then apply gcf to the result and 6956.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 47 and 168 is 7896. Then, The greatest common factor of 7896 and 6956 is 188.
result = "188"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 154 and 126, then apply gcf to the result and 22869.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 154 and 126 is 1386. Then, The greatest common factor of 1386 and 22869 is 693.
result = "693"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 24 and 146, then apply gcf to the result and 16206.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 24 and 146 is 1752. Then, The greatest common factor of 1752 and 16206 is 438.
result = "438"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 74 and 38, then apply gcf to the result and 18981.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 74 and 38 is 1406. Then, The greatest common factor of 1406 and 18981 is 703.
result = "703"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 46 and 188, then apply gcf to the result and 11891.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 46 and 188 is 4324. Then, The greatest common factor of 4324 and 11891 is 1081.
result = "1081"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 83 and 114, then apply gcf to the result and 11039.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 83 and 114 is 9462. Then, The greatest common factor of 9462 and 11039 is 1577.
result = "1577"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 81 and 75, then apply gcf to the result and 4185.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 81 and 75 is 2025. Then, The greatest common factor of 2025 and 4185 is 135.
result = "135"


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

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

[User]
Apply lcm to 120 and 17, then apply gcf to the result and 5780.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 120 and 17 is 2040. Then, The greatest common factor of 2040 and 5780 is 340.
result = "340"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 91 and 58, then apply gcf to the result and 13195.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 91 and 58 is 5278. Then, The greatest common factor of 5278 and 13195 is 2639.
result = "2639"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 182 and 34, then apply gcf to the result and 7854.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 182 and 34 is 3094. Then, The greatest common factor of 3094 and 7854 is 238.
result = "238"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 42 and 167, then apply gcf to the result and 36239.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 42 and 167 is 7014. Then, The greatest common factor of 7014 and 36239 is 1169.
result = "1169"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 39 and 150, then apply gcf to the result and 18525.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 39 and 150 is 1950. Then, The greatest common factor of 1950 and 18525 is 975.
result = "975"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 92 and 16, then apply gcf to the result and 2760.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 92 and 16 is 368. Then, The greatest common factor of 368 and 2760 is 184.
result = "184"


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

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

[User]
Apply lcm to 196 and 136, then apply gcf to the result and 17136.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 196 and 136 is 6664. Then, The greatest common factor of 6664 and 17136 is 952.
result = "952"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 38 and 54, then apply gcf to the result and 7695.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 38 and 54 is 1026. Then, The greatest common factor of 1026 and 7695 is 513.
result = "513"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 149 and 30, then apply gcf to the result and 6556.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 149 and 30 is 4470. Then, The greatest common factor of 4470 and 6556 is 298.
result = "298"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 190 and 120, then apply gcf to the result and 17784.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 190 and 120 is 2280. Then, The greatest common factor of 2280 and 17784 is 456.
result = "456"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 183 and 156, then apply gcf to the result and 2074.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 183 and 156 is 9516. Then, The greatest common factor of 9516 and 2074 is 122.
result = "122"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 36 and 32, then apply gcf to the result and 1584.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 36 and 32 is 288. Then, The greatest common factor of 288 and 1584 is 144.
result = "144"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 22 and 49, then apply gcf to the result and 12397.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 22 and 49 is 1078. Then, The greatest common factor of 1078 and 12397 is 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 lcm to 136 and 124, then apply gcf to the result and 5208.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 136 and 124 is 4216. Then, The greatest common factor of 4216 and 5208 is 248.
result = "248"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 135 and 175, then apply gcf to the result and 16875.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 135 and 175 is 4725. Then, The greatest common factor of 4725 and 16875 is 675.
result = "675"


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

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

[User]
Apply lcm to 51 and 62, then apply gcf to the result and 3570.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 51 and 62 is 3162. Then, The greatest common factor of 3162 and 3570 is 102.
result = "102"


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

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

[User]
Apply lcm to 108 and 138, then apply gcf to the result and 15732.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 108 and 138 is 2484. Then, The greatest common factor of 2484 and 15732 is 828.
result = "828"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 178 and 33, then apply gcf to the result and 102795.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 178 and 33 is 5874. Then, The greatest common factor of 5874 and 102795 is 2937.
result = "2937"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 92 and 57, then apply gcf to the result and 102258.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 92 and 57 is 5244. Then, The greatest common factor of 5244 and 102258 is 2622.
result = "2622"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 65 and 92, then apply gcf to the result and 8510.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 65 and 92 is 5980. Then, The greatest common factor of 5980 and 8510 is 230.
result = "230"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 41 and 125, then apply gcf to the result and 3895.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 41 and 125 is 5125. Then, The greatest common factor of 5125 and 3895 is 205.
result = "205"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 102 and 77, then apply gcf to the result and 52360.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 102 and 77 is 7854. Then, The greatest common factor of 7854 and 52360 is 2618.
result = "2618"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 58, then apply gcf to the result and 2668.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 124 and 58 is 3596. Then, The greatest common factor of 3596 and 2668 is 116.
result = "116"


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

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

[User]
Apply lcm to 26 and 144, then apply gcf to the result and 8320.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 26 and 144 is 1872. Then, The greatest common factor of 1872 and 8320 is 208.
result = "208"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 50 and 37, then apply gcf to the result and 9990.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 50 and 37 is 1850. Then, The greatest common factor of 1850 and 9990 is 370.
result = "370"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 54 and 40, then apply gcf to the result and 2376.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 54 and 40 is 1080. Then, The greatest common factor of 1080 and 2376 is 216.
result = "216"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 88 and 98, then apply gcf to the result and 784.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 88 and 98 is 4312. Then, The greatest common factor of 4312 and 784 is 392.
result = "392"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 149 and 40, then apply gcf to the result and 104300.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 149 and 40 is 5960. Then, The greatest common factor of 5960 and 104300 is 2980.
result = "2980"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 23 and 147, then apply gcf to the result and 17871.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 23 and 147 is 3381. Then, The greatest common factor of 3381 and 17871 is 483.
result = "483"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 64 and 92, then apply gcf to the result and 28704.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 64 and 92 is 1472. Then, The greatest common factor of 1472 and 28704 is 736.
result = "736"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 100 and 57, then apply gcf to the result and 7296.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 100 and 57 is 5700. Then, The greatest common factor of 5700 and 7296 is 228.
result = "228"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 69 and 126, then apply gcf to the result and 12075.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 69 and 126 is 2898. Then, The greatest common factor of 2898 and 12075 is 483.
result = "483"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 88 and 59, then apply gcf to the result and 9912.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 88 and 59 is 5192. Then, The greatest common factor of 5192 and 9912 is 472.
result = "472"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 43 and 70, then apply gcf to the result and 52675.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 43 and 70 is 3010. Then, The greatest common factor of 3010 and 52675 is 1505.
result = "1505"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 43 and 168, then apply gcf to the result and 2236.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 43 and 168 is 7224. Then, The greatest common factor of 7224 and 2236 is 172.
result = "172"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 34 and 180, then apply gcf to the result and 7140.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 34 and 180 is 3060. Then, The greatest common factor of 3060 and 7140 is 1020.
result = "1020"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 192 and 18, then apply gcf to the result and 2736.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 192 and 18 is 576. Then, The greatest common factor of 576 and 2736 is 144.
result = "144"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 39, then apply gcf to the result and 13910.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 107 and 39 is 4173. Then, The greatest common factor of 4173 and 13910 is 1391.
result = "1391"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 34 and 76, then apply gcf to the result and 13566.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 34 and 76 is 1292. Then, The greatest common factor of 1292 and 13566 is 646.
result = "646"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 40 and 155, then apply gcf to the result and 11470.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 40 and 155 is 1240. Then, The greatest common factor of 1240 and 11470 is 310.
result = "310"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 135 and 13, then apply gcf to the result and 8190.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 135 and 13 is 1755. Then, The greatest common factor of 1755 and 8190 is 585.
result = "585"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 64 and 150, then apply gcf to the result and 5600.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 64 and 150 is 4800. Then, The greatest common factor of 4800 and 5600 is 800.
result = "800"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 48 and 163, then apply gcf to the result and 52812.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 48 and 163 is 7824. Then, The greatest common factor of 7824 and 52812 is 1956.
result = "1956"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 106 and 71, then apply gcf to the result and 3834.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 106 and 71 is 7526. Then, The greatest common factor of 7526 and 3834 is 142.
result = "142"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 177 and 69, then apply gcf to the result and 17641.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 177 and 69 is 4071. Then, The greatest common factor of 4071 and 17641 is 1357.
result = "1357"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 94 and 176, then apply gcf to the result and 21714.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 94 and 176 is 8272. Then, The greatest common factor of 8272 and 21714 is 1034.
result = "1034"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 93 and 98, then apply gcf to the result and 25389.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 93 and 98 is 9114. Then, The greatest common factor of 9114 and 25389 is 651.
result = "651"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 20 and 156, then apply gcf to the result and 4095.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 20 and 156 is 780. Then, The greatest common factor of 780 and 4095 is 195.
result = "195"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 84 and 67, then apply gcf to the result and 7839.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 84 and 67 is 5628. Then, The greatest common factor of 5628 and 7839 is 201.
result = "201"


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

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

[User]
Apply lcm to 185 and 165, then apply gcf to the result and 3996.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 185 and 165 is 6105. Then, The greatest common factor of 6105 and 3996 is 111.
result = "111"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 27 and 150, then apply gcf to the result and 2925.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 27 and 150 is 1350. Then, The greatest common factor of 1350 and 2925 is 225.
result = "225"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 81 and 117, then apply gcf to the result and 8073.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 81 and 117 is 1053. Then, The greatest common factor of 1053 and 8073 is 351.
result = "351"


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

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

[User]
Apply lcm to 52 and 176, then apply gcf to the result and 8294.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 52 and 176 is 2288. Then, The greatest common factor of 2288 and 8294 is 286.
result = "286"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 126 and 68, then apply gcf to the result and 5236.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 126 and 68 is 4284. Then, The greatest common factor of 4284 and 5236 is 476.
result = "476"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 145 and 70, then apply gcf to the result and 5481.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 145 and 70 is 2030. Then, The greatest common factor of 2030 and 5481 is 203.
result = "203"


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

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

[User]
Apply lcm to 58 and 75, then apply gcf to the result and 10150.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 58 and 75 is 4350. Then, The greatest common factor of 4350 and 10150 is 1450.
result = "1450"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 128 and 124, then apply gcf to the result and 7192.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 128 and 124 is 3968. Then, The greatest common factor of 3968 and 7192 is 248.
result = "248"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 64 and 190, then apply gcf to the result and 8208.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 64 and 190 is 6080. Then, The greatest common factor of 6080 and 8208 is 304.
result = "304"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 45 and 77, then apply gcf to the result and 17820.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 45 and 77 is 3465. Then, The greatest common factor of 3465 and 17820 is 495.
result = "495"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 42 and 15, then apply gcf to the result and 1155.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 42 and 15 is 210. Then, The greatest common factor of 210 and 1155 is 105.
result = "105"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 83 and 74, then apply gcf to the result and 3486.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 83 and 74 is 6142. Then, The greatest common factor of 6142 and 3486 is 166.
result = "166"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 172 and 53, then apply gcf to the result and 3180.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 172 and 53 is 9116. Then, The greatest common factor of 9116 and 3180 is 212.
result = "212"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 118 and 39, then apply gcf to the result and 14573.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 118 and 39 is 4602. Then, The greatest common factor of 4602 and 14573 is 767.
result = "767"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 160 and 52, then apply gcf to the result and 7072.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 160 and 52 is 2080. Then, The greatest common factor of 2080 and 7072 is 416.
result = "416"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 97 and 52, then apply gcf to the result and 582.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 97 and 52 is 5044. Then, The greatest common factor of 5044 and 582 is 194.
result = "194"


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

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

[User]
Apply lcm to 51 and 71, then apply gcf to the result and 6390.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 51 and 71 is 3621. Then, The greatest common factor of 3621 and 6390 is 213.
result = "213"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 86 and 158, then apply gcf to the result and 98513.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 86 and 158 is 6794. Then, The greatest common factor of 6794 and 98513 is 3397.
result = "3397"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 108 and 153, then apply gcf to the result and 2346.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 108 and 153 is 1836. Then, The greatest common factor of 1836 and 2346 is 102.
result = "102"


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

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

[User]
Apply lcm to 129 and 47, then apply gcf to the result and 282.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 129 and 47 is 6063. Then, The greatest common factor of 6063 and 282 is 141.
result = "141"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 32 and 142, then apply gcf to the result and 7100.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 32 and 142 is 2272. Then, The greatest common factor of 2272 and 7100 is 284.
result = "284"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 16 and 85, then apply gcf to the result and 5270.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 16 and 85 is 1360. Then, The greatest common factor of 1360 and 5270 is 170.
result = "170"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 16 and 105, then apply gcf to the result and 2400.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 16 and 105 is 1680. Then, The greatest common factor of 1680 and 2400 is 240.
result = "240"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 92, then apply gcf to the result and 5214.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 79 and 92 is 7268. Then, The greatest common factor of 7268 and 5214 is 158.
result = "158"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 98 and 192, then apply gcf to the result and 63504.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 98 and 192 is 9408. Then, The greatest common factor of 9408 and 63504 is 2352.
result = "2352"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 39 and 79, then apply gcf to the result and 17459.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 39 and 79 is 3081. Then, The greatest common factor of 3081 and 17459 is 1027.
result = "1027"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 53 and 116, then apply gcf to the result and 58406.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 53 and 116 is 6148. Then, The greatest common factor of 6148 and 58406 is 3074.
result = "3074"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 50 and 55, then apply gcf to the result and 5775.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 50 and 55 is 550. Then, The greatest common factor of 550 and 5775 is 275.
result = "275"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 149 and 54, then apply gcf to the result and 4917.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 149 and 54 is 8046. Then, The greatest common factor of 8046 and 4917 is 447.
result = "447"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 143 and 62, then apply gcf to the result and 18538.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 143 and 62 is 8866. Then, The greatest common factor of 8866 and 18538 is 806.
result = "806"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 68 and 124, then apply gcf to the result and 14229.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 68 and 124 is 2108. Then, The greatest common factor of 2108 and 14229 is 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 lcm to 106 and 176, then apply gcf to the result and 10176.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 106 and 176 is 9328. Then, The greatest common factor of 9328 and 10176 is 848.
result = "848"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 87 and 34, then apply gcf to the result and 45849.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 87 and 34 is 2958. Then, The greatest common factor of 2958 and 45849 is 1479.
result = "1479"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 88 and 190, then apply gcf to the result and 3420.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 88 and 190 is 8360. Then, The greatest common factor of 8360 and 3420 is 380.
result = "380"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 135 and 67, then apply gcf to the result and 19095.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 135 and 67 is 9045. Then, The greatest common factor of 9045 and 19095 is 1005.
result = "1005"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 43 and 40, then apply gcf to the result and 14620.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 43 and 40 is 1720. Then, The greatest common factor of 1720 and 14620 is 860.
result = "860"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 117 and 79, then apply gcf to the result and 35945.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 117 and 79 is 9243. Then, The greatest common factor of 9243 and 35945 is 1027.
result = "1027"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 139 and 57, then apply gcf to the result and 76589.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 139 and 57 is 7923. Then, The greatest common factor of 7923 and 76589 is 2641.
result = "2641"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 66 and 142, then apply gcf to the result and 9798.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 66 and 142 is 4686. Then, The greatest common factor of 4686 and 9798 is 426.
result = "426"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 52 and 49, then apply gcf to the result and 3822.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 52 and 49 is 2548. Then, The greatest common factor of 2548 and 3822 is 1274.
result = "1274"


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

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

[User]
Apply lcm to 85 and 58, then apply gcf to the result and 8381.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 85 and 58 is 4930. Then, The greatest common factor of 4930 and 8381 is 493.
result = "493"


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

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

[User]
Apply lcm to 142 and 90, then apply gcf to the result and 7242.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 142 and 90 is 6390. Then, The greatest common factor of 6390 and 7242 is 426.
result = "426"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 56 and 40, then apply gcf to the result and 2380.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 56 and 40 is 280. Then, The greatest common factor of 280 and 2380 is 140.
result = "140"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 53 and 123, then apply gcf to the result and 63017.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 53 and 123 is 6519. Then, The greatest common factor of 6519 and 63017 is 2173.
result = "2173"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 172 and 46, then apply gcf to the result and 73186.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 172 and 46 is 3956. Then, The greatest common factor of 3956 and 73186 is 1978.
result = "1978"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 64 and 23, then apply gcf to the result and 28704.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 64 and 23 is 1472. Then, The greatest common factor of 1472 and 28704 is 736.
result = "736"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 140 and 66, then apply gcf to the result and 5698.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 140 and 66 is 4620. Then, The greatest common factor of 4620 and 5698 is 154.
result = "154"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 94 and 120, then apply gcf to the result and 5264.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 94 and 120 is 5640. Then, The greatest common factor of 5640 and 5264 is 376.
result = "376"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 26, then apply gcf to the result and 2717.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 19 and 26 is 494. Then, The greatest common factor of 494 and 2717 is 247.
result = "247"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 135 and 180, then apply gcf to the result and 10530.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 135 and 180 is 540. Then, The greatest common factor of 540 and 10530 is 270.
result = "270"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 73 and 94, then apply gcf to the result and 2920.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 73 and 94 is 6862. Then, The greatest common factor of 6862 and 2920 is 146.
result = "146"


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

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

[User]
Apply lcm to 162 and 110, then apply gcf to the result and 5346.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 162 and 110 is 8910. Then, The greatest common factor of 8910 and 5346 is 1782.
result = "1782"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 82 and 58, then apply gcf to the result and 32103.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 82 and 58 is 2378. Then, The greatest common factor of 2378 and 32103 is 1189.
result = "1189"


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

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

[User]
Apply lcm to 18 and 96, then apply gcf to the result and 5616.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 18 and 96 is 288. Then, The greatest common factor of 288 and 5616 is 144.
result = "144"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 21 and 160, then apply gcf to the result and 700.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 21 and 160 is 3360. Then, The greatest common factor of 3360 and 700 is 140.
result = "140"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 192 and 124, then apply gcf to the result and 13764.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 192 and 124 is 5952. Then, The greatest common factor of 5952 and 13764 is 372.
result = "372"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 26 and 83, then apply gcf to the result and 3486.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 26 and 83 is 2158. Then, The greatest common factor of 2158 and 3486 is 166.
result = "166"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 125 and 85, then apply gcf to the result and 11050.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 125 and 85 is 2125. Then, The greatest common factor of 2125 and 11050 is 425.
result = "425"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 112 and 23, then apply gcf to the result and 1104.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 112 and 23 is 2576. Then, The greatest common factor of 2576 and 1104 is 368.
result = "368"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 156 and 34, then apply gcf to the result and 7072.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 156 and 34 is 2652. Then, The greatest common factor of 2652 and 7072 is 884.
result = "884"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 126 and 25, then apply gcf to the result and 6975.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 126 and 25 is 3150. Then, The greatest common factor of 3150 and 6975 is 225.
result = "225"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 151 and 40, then apply gcf to the result and 12835.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 151 and 40 is 6040. Then, The greatest common factor of 6040 and 12835 is 755.
result = "755"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 193 and 49, then apply gcf to the result and 48636.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 193 and 49 is 9457. Then, The greatest common factor of 9457 and 48636 is 1351.
result = "1351"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 133 and 43, then apply gcf to the result and 10535.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 133 and 43 is 5719. Then, The greatest common factor of 5719 and 10535 is 301.
result = "301"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 32 and 118, then apply gcf to the result and 2832.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 32 and 118 is 1888. Then, The greatest common factor of 1888 and 2832 is 944.
result = "944"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 30 and 32, then apply gcf to the result and 6960.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 30 and 32 is 480. Then, The greatest common factor of 480 and 6960 is 240.
result = "240"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 75, then apply gcf to the result and 18180.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 101 and 75 is 7575. Then, The greatest common factor of 7575 and 18180 is 1515.
result = "1515"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 44, then apply gcf to the result and 3500.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 35 and 44 is 1540. Then, The greatest common factor of 1540 and 3500 is 140.
result = "140"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 159 and 75, then apply gcf to the result and 8215.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 159 and 75 is 3975. Then, The greatest common factor of 3975 and 8215 is 265.
result = "265"


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

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

[User]
Apply lcm to 23 and 160, then apply gcf to the result and 6440.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 23 and 160 is 3680. Then, The greatest common factor of 3680 and 6440 is 920.
result = "920"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 166 and 52, then apply gcf to the result and 39923.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 166 and 52 is 4316. Then, The greatest common factor of 4316 and 39923 is 1079.
result = "1079"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 54 and 52, then apply gcf to the result and 3393.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 54 and 52 is 1404. Then, The greatest common factor of 1404 and 3393 is 117.
result = "117"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 37 and 81, then apply gcf to the result and 2109.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 37 and 81 is 2997. Then, The greatest common factor of 2997 and 2109 is 111.
result = "111"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 70 and 32, then apply gcf to the result and 10360.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 70 and 32 is 1120. Then, The greatest common factor of 1120 and 10360 is 280.
result = "280"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 55 and 174, then apply gcf to the result and 9251.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 55 and 174 is 9570. Then, The greatest common factor of 9570 and 9251 is 319.
result = "319"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 120 and 130, then apply gcf to the result and 1768.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 120 and 130 is 1560. Then, The greatest common factor of 1560 and 1768 is 104.
result = "104"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 22 and 85, then apply gcf to the result and 6290.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 22 and 85 is 1870. Then, The greatest common factor of 1870 and 6290 is 170.
result = "170"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 142 and 69, then apply gcf to the result and 50623.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 142 and 69 is 9798. Then, The greatest common factor of 9798 and 50623 is 1633.
result = "1633"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 64 and 122, then apply gcf to the result and 21472.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 64 and 122 is 3904. Then, The greatest common factor of 3904 and 21472 is 1952.
result = "1952"


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

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

[User]
Apply lcm to 94 and 64, then apply gcf to the result and 2068.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 94 and 64 is 3008. Then, The greatest common factor of 3008 and 2068 is 188.
result = "188"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 48 and 77, then apply gcf to the result and 4480.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 48 and 77 is 3696. Then, The greatest common factor of 3696 and 4480 is 112.
result = "112"


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

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

[User]
Apply lcm to 91 and 50, then apply gcf to the result and 84175.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 91 and 50 is 4550. Then, The greatest common factor of 4550 and 84175 is 2275.
result = "2275"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 54 and 105, then apply gcf to the result and 3465.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 54 and 105 is 1890. Then, The greatest common factor of 1890 and 3465 is 315.
result = "315"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 50 and 121, then apply gcf to the result and 13915.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 50 and 121 is 6050. Then, The greatest common factor of 6050 and 13915 is 605.
result = "605"


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

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

[User]
Apply lcm to 76 and 49, then apply gcf to the result and 10640.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 76 and 49 is 3724. Then, The greatest common factor of 3724 and 10640 is 532.
result = "532"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 55 and 63, then apply gcf to the result and 2145.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 55 and 63 is 3465. Then, The greatest common factor of 3465 and 2145 is 165.
result = "165"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 51 and 140, then apply gcf to the result and 8211.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 51 and 140 is 7140. Then, The greatest common factor of 7140 and 8211 is 357.
result = "357"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 24 and 59, then apply gcf to the result and 13688.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 24 and 59 is 1416. Then, The greatest common factor of 1416 and 13688 is 472.
result = "472"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 142 and 41, then apply gcf to the result and 55309.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 142 and 41 is 5822. Then, The greatest common factor of 5822 and 55309 is 2911.
result = "2911"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 48 and 170, then apply gcf to the result and 1496.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 48 and 170 is 4080. Then, The greatest common factor of 4080 and 1496 is 136.
result = "136"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 165 and 123, then apply gcf to the result and 14432.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 165 and 123 is 6765. Then, The greatest common factor of 6765 and 14432 is 451.
result = "451"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 154 and 49, then apply gcf to the result and 15631.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 154 and 49 is 1078. Then, The greatest common factor of 1078 and 15631 is 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 lcm to 33 and 57, then apply gcf to the result and 6061.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 33 and 57 is 627. Then, The greatest common factor of 627 and 6061 is 209.
result = "209"


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

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

[User]
Apply lcm to 57 and 64, then apply gcf to the result and 5376.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 57 and 64 is 3648. Then, The greatest common factor of 3648 and 5376 is 192.
result = "192"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 40 and 83, then apply gcf to the result and 12948.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 40 and 83 is 3320. Then, The greatest common factor of 3320 and 12948 is 332.
result = "332"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 63 and 12, then apply gcf to the result and 2142.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 63 and 12 is 252. Then, The greatest common factor of 252 and 2142 is 126.
result = "126"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 54 and 170, then apply gcf to the result and 3213.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 54 and 170 is 4590. Then, The greatest common factor of 4590 and 3213 is 459.
result = "459"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 33 and 36, then apply gcf to the result and 1716.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 33 and 36 is 396. Then, The greatest common factor of 396 and 1716 is 132.
result = "132"


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

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

[User]
Apply lcm to 51 and 192, then apply gcf to the result and 14688.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 51 and 192 is 3264. Then, The greatest common factor of 3264 and 14688 is 1632.
result = "1632"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 84, then apply gcf to the result and 24738.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 124 and 84 is 2604. Then, The greatest common factor of 2604 and 24738 is 1302.
result = "1302"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 165 and 144, then apply gcf to the result and 97680.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 165 and 144 is 7920. Then, The greatest common factor of 7920 and 97680 is 2640.
result = "2640"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 187 and 48, then apply gcf to the result and 1938.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 187 and 48 is 8976. Then, The greatest common factor of 8976 and 1938 is 102.
result = "102"


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

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

[User]
Apply lcm to 110 and 54, then apply gcf to the result and 6831.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 110 and 54 is 2970. Then, The greatest common factor of 2970 and 6831 is 297.
result = "297"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 36, then apply gcf to the result and 2418.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 124 and 36 is 1116. Then, The greatest common factor of 1116 and 2418 is 186.
result = "186"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 122 and 79, then apply gcf to the result and 5056.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 122 and 79 is 9638. Then, The greatest common factor of 9638 and 5056 is 158.
result = "158"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 46 and 118, then apply gcf to the result and 47495.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 46 and 118 is 2714. Then, The greatest common factor of 2714 and 47495 is 1357.
result = "1357"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 15 and 104, then apply gcf to the result and 19240.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 15 and 104 is 1560. Then, The greatest common factor of 1560 and 19240 is 520.
result = "520"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 24 and 94, then apply gcf to the result and 4230.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 24 and 94 is 1128. Then, The greatest common factor of 1128 and 4230 is 282.
result = "282"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 82 and 42, then apply gcf to the result and 7175.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 82 and 42 is 1722. Then, The greatest common factor of 1722 and 7175 is 287.
result = "287"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 153 and 12, then apply gcf to the result and 408.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 153 and 12 is 612. Then, The greatest common factor of 612 and 408 is 204.
result = "204"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 63 and 88, then apply gcf to the result and 10164.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 63 and 88 is 5544. Then, The greatest common factor of 5544 and 10164 is 924.
result = "924"