System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 50, then apply gcf to the result and 29375.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 94 and 50 is 2350. Then, The greatest common factor of 2350 and 29375 is 1175.
result = "1175"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 161 and 26, then apply gcf to the result and 5083.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 161 and 26 is 4186. Then, The greatest common factor of 4186 and 5083 is 299.
result = "299"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 153, then apply gcf to the result and 2975.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 35 and 153 is 5355. Then, The greatest common factor of 5355 and 2975 is 595.
result = "595"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 23, then apply gcf to the result and 8602.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 68 and 23 is 1564. Then, The greatest common factor of 1564 and 8602 is 782.
result = "782"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 150 and 42, then apply gcf to the result and 1680.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 150 and 42 is 1050. Then, The greatest common factor of 1050 and 1680 is 210.
result = "210"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 28 and 156, then apply gcf to the result and 8008.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 28 and 156 is 1092. Then, The greatest common factor of 1092 and 8008 is 364.
result = "364"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 158 and 92, then apply gcf to the result and 119922.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 158 and 92 is 7268. Then, The greatest common factor of 7268 and 119922 is 3634.
result = "3634"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 190, then apply gcf to the result and 1995.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 133 and 190 is 1330. Then, The greatest common factor of 1330 and 1995 is 665.
result = "665"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 130 and 102, then apply gcf to the result and 3570.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 130 and 102 is 6630. Then, The greatest common factor of 6630 and 3570 is 510.
result = "510"


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

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

[User]
Apply lcm to 54 and 126, then apply gcf to the result and 6993.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 54 and 126 is 378. Then, The greatest common factor of 378 and 6993 is 189.
result = "189"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 152, then apply gcf to the result and 12749.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 122 and 152 is 9272. Then, The greatest common factor of 9272 and 12749 is 1159.
result = "1159"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 2299.
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 2299 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 71 and 15, then apply gcf to the result and 4615.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 71 and 15 is 1065. Then, The greatest common factor of 1065 and 4615 is 355.
result = "355"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 84, then apply gcf to the result and 68572.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 79 and 84 is 6636. Then, The greatest common factor of 6636 and 68572 is 2212.
result = "2212"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 186 and 155, then apply gcf to the result and 12555.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 186 and 155 is 930. Then, The greatest common factor of 930 and 12555 is 465.
result = "465"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 135, then apply gcf to the result and 3135.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 38 and 135 is 5130. Then, The greatest common factor of 5130 and 3135 is 285.
result = "285"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 169 and 18, then apply gcf to the result and 38025.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 169 and 18 is 3042. Then, The greatest common factor of 3042 and 38025 is 1521.
result = "1521"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 25327.
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 25327 is 817.
result = "817"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 33, then apply gcf to the result and 4576.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 91 and 33 is 3003. Then, The greatest common factor of 3003 and 4576 is 143.
result = "143"


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

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

[User]
Apply lcm to 144 and 17, then apply gcf to the result and 9520.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 144 and 17 is 2448. Then, The greatest common factor of 2448 and 9520 is 272.
result = "272"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 105 and 54, then apply gcf to the result and 33075.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 105 and 54 is 1890. Then, The greatest common factor of 1890 and 33075 is 945.
result = "945"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 78 and 61, then apply gcf to the result and 3050.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 78 and 61 is 4758. Then, The greatest common factor of 4758 and 3050 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 32 and 68, then apply gcf to the result and 6256.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 32 and 68 is 544. Then, The greatest common factor of 544 and 6256 is 272.
result = "272"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 135, then apply gcf to the result and 1980.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 64 and 135 is 8640. Then, The greatest common factor of 8640 and 1980 is 180.
result = "180"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 179 and 49, then apply gcf to the result and 30072.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 179 and 49 is 8771. Then, The greatest common factor of 8771 and 30072 is 1253.
result = "1253"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 152, then apply gcf to the result and 65892.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 51 and 152 is 7752. Then, The greatest common factor of 7752 and 65892 is 3876.
result = "3876"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 119 and 45, then apply gcf to the result and 38556.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 119 and 45 is 5355. Then, The greatest common factor of 5355 and 38556 is 1071.
result = "1071"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 56, then apply gcf to the result and 3700.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 50 and 56 is 1400. Then, The greatest common factor of 1400 and 3700 is 100.
result = "100"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 37, then apply gcf to the result and 15059.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 22 and 37 is 814. Then, The greatest common factor of 814 and 15059 is 407.
result = "407"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 28, then apply gcf to the result and 2527.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 19 and 28 is 532. Then, The greatest common factor of 532 and 2527 is 133.
result = "133"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 30, then apply gcf to the result and 6210.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 92 and 30 is 1380. Then, The greatest common factor of 1380 and 6210 is 690.
result = "690"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 195, then apply gcf to the result and 7905.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 51 and 195 is 3315. Then, The greatest common factor of 3315 and 7905 is 255.
result = "255"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 36, then apply gcf to the result and 8874.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 68 and 36 is 612. Then, The greatest common factor of 612 and 8874 is 306.
result = "306"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 98, then apply gcf to the result and 588.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 16 and 98 is 784. Then, The greatest common factor of 784 and 588 is 196.
result = "196"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 96, then apply gcf to the result and 35640.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 110 and 96 is 5280. Then, The greatest common factor of 5280 and 35640 is 1320.
result = "1320"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 149, then apply gcf to the result and 5215.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 50 and 149 is 7450. Then, The greatest common factor of 7450 and 5215 is 745.
result = "745"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 26, then apply gcf to the result and 31291.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 83 and 26 is 2158. Then, The greatest common factor of 2158 and 31291 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 30 and 80, then apply gcf to the result and 360.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 30 and 80 is 240. Then, The greatest common factor of 240 and 360 is 120.
result = "120"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 174 and 34, then apply gcf to the result and 612.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 174 and 34 is 2958. Then, The greatest common factor of 2958 and 612 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 128 and 14, then apply gcf to the result and 8512.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 128 and 14 is 896. Then, The greatest common factor of 896 and 8512 is 448.
result = "448"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 171 and 45, then apply gcf to the result and 9975.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 171 and 45 is 855. Then, The greatest common factor of 855 and 9975 is 285.
result = "285"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 53, then apply gcf to the result and 4452.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 40 and 53 is 2120. Then, The greatest common factor of 2120 and 4452 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 147 and 64, then apply gcf to the result and 2856.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 147 and 64 is 9408. Then, The greatest common factor of 9408 and 2856 is 168.
result = "168"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 39, then apply gcf to the result and 6279.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 126 and 39 is 1638. Then, The greatest common factor of 1638 and 6279 is 273.
result = "273"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 26, then apply gcf to the result and 11713.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 53 and 26 is 1378. Then, The greatest common factor of 1378 and 11713 is 689.
result = "689"


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

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

[User]
Apply lcm to 189 and 87, then apply gcf to the result and 522.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 189 and 87 is 5481. Then, The greatest common factor of 5481 and 522 is 261.
result = "261"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 105, then apply gcf to the result and 5688.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 79 and 105 is 8295. Then, The greatest common factor of 8295 and 5688 is 237.
result = "237"


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

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

[User]
Apply lcm to 58 and 12, then apply gcf to the result and 1218.
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 1218 is 174.
result = "174"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 75, then apply gcf to the result and 3675.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 63 and 75 is 1575. Then, The greatest common factor of 1575 and 3675 is 525.
result = "525"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 114, then apply gcf to the result and 9576.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 48 and 114 is 912. Then, The greatest common factor of 912 and 9576 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 71 and 33, then apply gcf to the result and 8520.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 71 and 33 is 2343. Then, The greatest common factor of 2343 and 8520 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 50 and 84, then apply gcf to the result and 40950.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 50 and 84 is 2100. Then, The greatest common factor of 2100 and 40950 is 1050.
result = "1050"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 33, then apply gcf to the result and 13090.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 70 and 33 is 2310. Then, The greatest common factor of 2310 and 13090 is 770.
result = "770"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 35, then apply gcf to the result and 33376.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 149 and 35 is 5215. Then, The greatest common factor of 5215 and 33376 is 1043.
result = "1043"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 31, then apply gcf to the result and 1860.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 76 and 31 is 2356. Then, The greatest common factor of 2356 and 1860 is 124.
result = "124"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 138, then apply gcf to the result and 7912.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 129 and 138 is 5934. Then, The greatest common factor of 5934 and 7912 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 176 and 62, then apply gcf to the result and 13640.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 176 and 62 is 5456. Then, The greatest common factor of 5456 and 13640 is 2728.
result = "2728"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 80, then apply gcf to the result and 11900.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 136 and 80 is 1360. Then, The greatest common factor of 1360 and 11900 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 85 and 130, then apply gcf to the result and 3570.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 85 and 130 is 2210. Then, The greatest common factor of 2210 and 3570 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 33 and 133, then apply gcf to the result and 11913.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 33 and 133 is 4389. Then, The greatest common factor of 4389 and 11913 is 627.
result = "627"


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

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

[User]
Apply lcm to 111 and 65, then apply gcf to the result and 60125.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 111 and 65 is 7215. Then, The greatest common factor of 7215 and 60125 is 2405.
result = "2405"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 166, then apply gcf to the result and 11205.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 45 and 166 is 7470. Then, The greatest common factor of 7470 and 11205 is 3735.
result = "3735"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 118, then apply gcf to the result and 5428.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 48 and 118 is 2832. Then, The greatest common factor of 2832 and 5428 is 236.
result = "236"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 121 and 82, then apply gcf to the result and 7667.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 121 and 82 is 9922. Then, The greatest common factor of 9922 and 7667 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 80 and 123, then apply gcf to the result and 81180.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 80 and 123 is 9840. Then, The greatest common factor of 9840 and 81180 is 2460.
result = "2460"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 152, then apply gcf to the result and 2622.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 24 and 152 is 456. Then, The greatest common factor of 456 and 2622 is 114.
result = "114"


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

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

[User]
Apply lcm to 84 and 88, then apply gcf to the result and 1188.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 84 and 88 is 1848. Then, The greatest common factor of 1848 and 1188 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 54 and 176, then apply gcf to the result and 2448.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 54 and 176 is 4752. Then, The greatest common factor of 4752 and 2448 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 35 and 56, then apply gcf to the result and 3220.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 35 and 56 is 280. Then, The greatest common factor of 280 and 3220 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 81 and 98, then apply gcf to the result and 14994.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 81 and 98 is 7938. Then, The greatest common factor of 7938 and 14994 is 882.
result = "882"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 114, then apply gcf to the result and 7695.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 110 and 114 is 6270. Then, The greatest common factor of 6270 and 7695 is 285.
result = "285"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 75, then apply gcf to the result and 420.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 126 and 75 is 3150. Then, The greatest common factor of 3150 and 420 is 210.
result = "210"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 44 and 71, then apply gcf to the result and 2840.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 44 and 71 is 3124. Then, The greatest common factor of 3124 and 2840 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 172 and 76, then apply gcf to the result and 14706.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 172 and 76 is 3268. Then, The greatest common factor of 3268 and 14706 is 1634.
result = "1634"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 30, then apply gcf to the result and 11655.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 37 and 30 is 1110. Then, The greatest common factor of 1110 and 11655 is 555.
result = "555"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 17, then apply gcf to the result and 7293.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 26 and 17 is 442. Then, The greatest common factor of 442 and 7293 is 221.
result = "221"


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

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

[User]
Apply lcm to 62 and 13, then apply gcf to the result and 6045.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 62 and 13 is 806. Then, The greatest common factor of 806 and 6045 is 403.
result = "403"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 138 and 63, then apply gcf to the result and 12558.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 138 and 63 is 2898. Then, The greatest common factor of 2898 and 12558 is 966.
result = "966"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 136, then apply gcf to the result and 15249.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 69 and 136 is 9384. Then, The greatest common factor of 9384 and 15249 is 1173.
result = "1173"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 194 and 92, then apply gcf to the result and 5432.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 194 and 92 is 8924. Then, The greatest common factor of 8924 and 5432 is 388.
result = "388"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 91, then apply gcf to the result and 2470.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 20 and 91 is 1820. Then, The greatest common factor of 1820 and 2470 is 130.
result = "130"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 101, then apply gcf to the result and 16968.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 32 and 101 is 3232. Then, The greatest common factor of 3232 and 16968 is 808.
result = "808"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 34, then apply gcf to the result and 25925.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 122 and 34 is 2074. Then, The greatest common factor of 2074 and 25925 is 1037.
result = "1037"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 150 and 126, then apply gcf to the result and 32550.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 150 and 126 is 3150. Then, The greatest common factor of 3150 and 32550 is 1050.
result = "1050"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 28 and 27, then apply gcf to the result and 10080.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 28 and 27 is 756. Then, The greatest common factor of 756 and 10080 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 98 and 104, then apply gcf to the result and 3822.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 98 and 104 is 5096. Then, The greatest common factor of 5096 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 71 and 39, then apply gcf to the result and 6603.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 71 and 39 is 2769. Then, The greatest common factor of 2769 and 6603 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 110 and 76, then apply gcf to the result and 2299.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 110 and 76 is 4180. Then, The greatest common factor of 4180 and 2299 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 95 and 93, then apply gcf to the result and 47709.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 95 and 93 is 8835. Then, The greatest common factor of 8835 and 47709 is 1767.
result = "1767"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 75, then apply gcf to the result and 1690.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 52 and 75 is 3900. Then, The greatest common factor of 3900 and 1690 is 130.
result = "130"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 71 and 46, then apply gcf to the result and 50623.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 71 and 46 is 3266. Then, The greatest common factor of 3266 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 182 and 43, then apply gcf to the result and 97825.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 182 and 43 is 7826. Then, The greatest common factor of 7826 and 97825 is 3913.
result = "3913"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 77 and 78, then apply gcf to the result and 11583.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 77 and 78 is 6006. Then, The greatest common factor of 6006 and 11583 is 429.
result = "429"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 74, then apply gcf to the result and 43586.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 76 and 74 is 2812. Then, The greatest common factor of 2812 and 43586 is 1406.
result = "1406"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 38, then apply gcf to the result and 9975.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 21 and 38 is 798. Then, The greatest common factor of 798 and 9975 is 399.
result = "399"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 87, then apply gcf to the result and 7975.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 22 and 87 is 1914. Then, The greatest common factor of 1914 and 7975 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 143 and 57, then apply gcf to the result and 988.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 143 and 57 is 8151. Then, The greatest common factor of 8151 and 988 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 48 and 23, then apply gcf to the result and 736.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 48 and 23 is 1104. Then, The greatest common factor of 1104 and 736 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 91 and 31, then apply gcf to the result and 868.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 91 and 31 is 2821. Then, The greatest common factor of 2821 and 868 is 217.
result = "217"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 28, then apply gcf to the result and 3654.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 135 and 28 is 3780. Then, The greatest common factor of 3780 and 3654 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 52 and 120, then apply gcf to the result and 975.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 52 and 120 is 1560. Then, The greatest common factor of 1560 and 975 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 153 and 48, then apply gcf to the result and 4760.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 153 and 48 is 2448. Then, The greatest common factor of 2448 and 4760 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 55 and 29, then apply gcf to the result and 8294.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 55 and 29 is 1595. Then, The greatest common factor of 1595 and 8294 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 137 and 62, then apply gcf to the result and 21235.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 137 and 62 is 8494. Then, The greatest common factor of 8494 and 21235 is 4247.
result = "4247"


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

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

[User]
Apply lcm to 111 and 34, then apply gcf to the result and 8177.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 111 and 34 is 3774. Then, The greatest common factor of 3774 and 8177 is 629.
result = "629"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 114, then apply gcf to the result and 4598.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 22 and 114 is 1254. Then, The greatest common factor of 1254 and 4598 is 418.
result = "418"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 61 and 22, then apply gcf to the result and 6039.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 61 and 22 is 1342. Then, The greatest common factor of 1342 and 6039 is 671.
result = "671"


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

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

[User]
Apply lcm to 111 and 165, then apply gcf to the result and 59015.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 111 and 165 is 6105. Then, The greatest common factor of 6105 and 59015 is 2035.
result = "2035"


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

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

[User]
Apply lcm to 111 and 180, then apply gcf to the result and 10730.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 111 and 180 is 6660. Then, The greatest common factor of 6660 and 10730 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 174 and 45, then apply gcf to the result and 8265.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 174 and 45 is 2610. Then, The greatest common factor of 2610 and 8265 is 435.
result = "435"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 48, then apply gcf to the result and 2880.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 128 and 48 is 384. Then, The greatest common factor of 384 and 2880 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 72 and 93, then apply gcf to the result and 6510.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 72 and 93 is 2232. Then, The greatest common factor of 2232 and 6510 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 24 and 174, then apply gcf to the result and 9396.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 24 and 174 is 696. Then, The greatest common factor of 696 and 9396 is 348.
result = "348"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 199 and 12, then apply gcf to the result and 11542.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 199 and 12 is 2388. Then, The greatest common factor of 2388 and 11542 is 398.
result = "398"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 105 and 24, then apply gcf to the result and 4410.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 105 and 24 is 840. Then, The greatest common factor of 840 and 4410 is 210.
result = "210"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 145, then apply gcf to the result and 7605.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 39 and 145 is 5655. Then, The greatest common factor of 5655 and 7605 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 46 and 64, then apply gcf to the result and 12512.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 46 and 64 is 1472. Then, The greatest common factor of 1472 and 12512 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 114 and 79, then apply gcf to the result and 52535.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 114 and 79 is 9006. Then, The greatest common factor of 9006 and 52535 is 1501.
result = "1501"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 75 and 54, then apply gcf to the result and 7290.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 75 and 54 is 1350. Then, The greatest common factor of 1350 and 7290 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 59 and 72, then apply gcf to the result and 4130.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 59 and 72 is 4248. Then, The greatest common factor of 4248 and 4130 is 118.
result = "118"


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

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

[User]
Apply lcm to 28 and 88, then apply gcf to the result and 4466.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 28 and 88 is 616. Then, The greatest common factor of 616 and 4466 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 131 and 32, then apply gcf to the result and 9432.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 131 and 32 is 4192. Then, The greatest common factor of 4192 and 9432 is 1048.
result = "1048"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 25 and 80, then apply gcf to the result and 3500.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 25 and 80 is 400. Then, The greatest common factor of 400 and 3500 is 100.
result = "100"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 87, then apply gcf to the result and 16037.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 79 and 87 is 6873. Then, The greatest common factor of 6873 and 16037 is 2291.
result = "2291"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 72 and 63, then apply gcf to the result and 2898.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 72 and 63 is 504. Then, The greatest common factor of 504 and 2898 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 189 and 182, then apply gcf to the result and 27378.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 189 and 182 is 4914. Then, The greatest common factor of 4914 and 27378 is 702.
result = "702"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 191, then apply gcf to the result and 38200.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 48 and 191 is 9168. Then, The greatest common factor of 9168 and 38200 is 1528.
result = "1528"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 148, then apply gcf to the result and 34965.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 63 and 148 is 9324. Then, The greatest common factor of 9324 and 34965 is 2331.
result = "2331"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 93, then apply gcf to the result and 20677.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 87 and 93 is 2697. Then, The greatest common factor of 2697 and 20677 is 899.
result = "899"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 78, then apply gcf to the result and 2912.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 120 and 78 is 1560. Then, The greatest common factor of 1560 and 2912 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 132 and 192, then apply gcf to the result and 30624.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 132 and 192 is 2112. Then, The greatest common factor of 2112 and 30624 is 1056.
result = "1056"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 12 and 146, then apply gcf to the result and 14454.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 12 and 146 is 876. Then, The greatest common factor of 876 and 14454 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 36 and 137, then apply gcf to the result and 10960.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 36 and 137 is 4932. Then, The greatest common factor of 4932 and 10960 is 548.
result = "548"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 174, then apply gcf to the result and 25230.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 40 and 174 is 3480. Then, The greatest common factor of 3480 and 25230 is 870.
result = "870"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 18, then apply gcf to the result and 3422.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 177 and 18 is 1062. Then, The greatest common factor of 1062 and 3422 is 118.
result = "118"


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

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

[User]
Apply lcm to 160 and 95, then apply gcf to the result and 59280.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 160 and 95 is 3040. Then, The greatest common factor of 3040 and 59280 is 1520.
result = "1520"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 71 and 44, then apply gcf to the result and 9656.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 71 and 44 is 3124. Then, The greatest common factor of 3124 and 9656 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 61 and 80, then apply gcf to the result and 16592.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 61 and 80 is 4880. Then, The greatest common factor of 4880 and 16592 is 976.
result = "976"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 95 and 60, then apply gcf to the result and 3192.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 95 and 60 is 1140. Then, The greatest common factor of 1140 and 3192 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 110 and 50, then apply gcf to the result and 5775.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 110 and 50 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 64 and 111, then apply gcf to the result and 4884.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 64 and 111 is 7104. Then, The greatest common factor of 7104 and 4884 is 444.
result = "444"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 177, then apply gcf to the result and 98766.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 162 and 177 is 9558. Then, The greatest common factor of 9558 and 98766 is 3186.
result = "3186"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 92, then apply gcf to the result and 47702.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 122 and 92 is 5612. Then, The greatest common factor of 5612 and 47702 is 2806.
result = "2806"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 76, then apply gcf to the result and 15314.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 52 and 76 is 988. Then, The greatest common factor of 988 and 15314 is 494.
result = "494"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 17 and 171, then apply gcf to the result and 21318.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 17 and 171 is 2907. Then, The greatest common factor of 2907 and 21318 is 969.
result = "969"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 14 and 111, then apply gcf to the result and 11655.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 14 and 111 is 1554. Then, The greatest common factor of 1554 and 11655 is 777.
result = "777"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 144, then apply gcf to the result and 4200.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 63 and 144 is 1008. Then, The greatest common factor of 1008 and 4200 is 168.
result = "168"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 59 and 112, then apply gcf to the result and 12744.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 59 and 112 is 6608. Then, The greatest common factor of 6608 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 31 and 119, then apply gcf to the result and 20553.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 31 and 119 is 3689. Then, The greatest common factor of 3689 and 20553 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 79 and 39, then apply gcf to the result and 4977.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 79 and 39 is 3081. Then, The greatest common factor of 3081 and 4977 is 237.
result = "237"


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

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

[User]
Apply lcm to 114 and 146, then apply gcf to the result and 38836.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 114 and 146 is 8322. Then, The greatest common factor of 8322 and 38836 is 2774.
result = "2774"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 132 and 176, then apply gcf to the result and 2904.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 132 and 176 is 528. Then, The greatest common factor of 528 and 2904 is 264.
result = "264"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 182, then apply gcf to the result and 44863.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 102 and 182 is 9282. Then, The greatest common factor of 9282 and 44863 is 1547.
result = "1547"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 12, then apply gcf to the result and 2268.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 135 and 12 is 540. Then, The greatest common factor of 540 and 2268 is 108.
result = "108"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 180, then apply gcf to the result and 1815.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 33 and 180 is 1980. Then, The greatest common factor of 1980 and 1815 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 65, then apply gcf to the result and 9435.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 51 and 65 is 3315. Then, The greatest common factor of 3315 and 9435 is 255.
result = "255"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 174 and 88, then apply gcf to the result and 40832.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 174 and 88 is 7656. Then, The greatest common factor of 7656 and 40832 is 2552.
result = "2552"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 133, then apply gcf to the result and 28576.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 47 and 133 is 6251. Then, The greatest common factor of 6251 and 28576 is 893.
result = "893"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 131 and 48, then apply gcf to the result and 12183.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 131 and 48 is 6288. Then, The greatest common factor of 6288 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 31 and 58, then apply gcf to the result and 22475.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 31 and 58 is 1798. Then, The greatest common factor of 1798 and 22475 is 899.
result = "899"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 168 and 23, then apply gcf to the result and 6348.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 168 and 23 is 3864. Then, The greatest common factor of 3864 and 6348 is 276.
result = "276"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 105 and 99, then apply gcf to the result and 8855.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 105 and 99 is 3465. Then, The greatest common factor of 3465 and 8855 is 385.
result = "385"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 76, then apply gcf to the result and 25840.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 120 and 76 is 2280. Then, The greatest common factor of 2280 and 25840 is 760.
result = "760"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 64, then apply gcf to the result and 3360.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 100 and 64 is 1600. Then, The greatest common factor of 1600 and 3360 is 160.
result = "160"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 44 and 162, then apply gcf to the result and 2970.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 44 and 162 is 3564. Then, The greatest common factor of 3564 and 2970 is 594.
result = "594"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 168 and 108, then apply gcf to the result and 18900.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 168 and 108 is 1512. Then, The greatest common factor of 1512 and 18900 is 756.
result = "756"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 91, then apply gcf to the result and 7943.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 47 and 91 is 4277. Then, The greatest common factor of 4277 and 7943 is 611.
result = "611"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 119 and 20, then apply gcf to the result and 1530.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 119 and 20 is 2380. Then, The greatest common factor of 2380 and 1530 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 172 and 15, then apply gcf to the result and 16512.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 172 and 15 is 2580. Then, The greatest common factor of 2580 and 16512 is 516.
result = "516"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 82, then apply gcf to the result and 4264.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 16 and 82 is 656. Then, The greatest common factor of 656 and 4264 is 328.
result = "328"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 105, then apply gcf to the result and 5208.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 24 and 105 is 840. Then, The greatest common factor of 840 and 5208 is 168.
result = "168"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 25 and 195, then apply gcf to the result and 650.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 25 and 195 is 975. Then, The greatest common factor of 975 and 650 is 325.
result = "325"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 86, then apply gcf to the result and 970.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 97 and 86 is 8342. Then, The greatest common factor of 8342 and 970 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 197 and 15, then apply gcf to the result and 28565.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 197 and 15 is 2955. Then, The greatest common factor of 2955 and 28565 is 985.
result = "985"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 75 and 108, then apply gcf to the result and 15660.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 75 and 108 is 2700. Then, The greatest common factor of 2700 and 15660 is 540.
result = "540"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 162, then apply gcf to the result and 38961.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 52 and 162 is 4212. Then, The greatest common factor of 4212 and 38961 is 1053.
result = "1053"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 196, then apply gcf to the result and 4536.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 63 and 196 is 1764. Then, The greatest common factor of 1764 and 4536 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 162 and 14, then apply gcf to the result and 15309.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 162 and 14 is 1134. Then, The greatest common factor of 1134 and 15309 is 567.
result = "567"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 145, then apply gcf to the result and 4060.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 160 and 145 is 4640. Then, The greatest common factor of 4640 and 4060 is 580.
result = "580"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 104, then apply gcf to the result and 9503.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 86 and 104 is 4472. Then, The greatest common factor of 4472 and 9503 is 559.
result = "559"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 2247.
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 2247 is 321.
result = "321"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 92, then apply gcf to the result and 2070.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 51 and 92 is 4692. Then, The greatest common factor of 4692 and 2070 is 138.
result = "138"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 136, then apply gcf to the result and 9384.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 156 and 136 is 5304. Then, The greatest common factor of 5304 and 9384 is 408.
result = "408"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 58, then apply gcf to the result and 6960.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 63 and 58 is 3654. Then, The greatest common factor of 3654 and 6960 is 174.
result = "174"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 58, then apply gcf to the result and 6032.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 112 and 58 is 3248. Then, The greatest common factor of 3248 and 6032 is 464.
result = "464"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 27, then apply gcf to the result and 10404.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 102 and 27 is 918. Then, The greatest common factor of 918 and 10404 is 306.
result = "306"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 26, then apply gcf to the result and 1989.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 135 and 26 is 3510. Then, The greatest common factor of 3510 and 1989 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 48 and 185, then apply gcf to the result and 39960.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 48 and 185 is 8880. Then, The greatest common factor of 8880 and 39960 is 4440.
result = "4440"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 26, then apply gcf to the result and 8177.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 68 and 26 is 884. Then, The greatest common factor of 884 and 8177 is 221.
result = "221"


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

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

[User]
Apply lcm to 49 and 124, then apply gcf to the result and 4774.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 49 and 124 is 6076. Then, The greatest common factor of 6076 and 4774 is 434.
result = "434"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 54, then apply gcf to the result and 55872.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 97 and 54 is 5238. Then, The greatest common factor of 5238 and 55872 is 1746.
result = "1746"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 51, then apply gcf to the result and 1845.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 41 and 51 is 2091. Then, The greatest common factor of 2091 and 1845 is 123.
result = "123"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 42, then apply gcf to the result and 2618.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 85 and 42 is 3570. Then, The greatest common factor of 3570 and 2618 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 175 and 16, then apply gcf to the result and 5800.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 175 and 16 is 2800. Then, The greatest common factor of 2800 and 5800 is 200.
result = "200"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end 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 116, then apply gcf to the result and 4147.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 22 and 116 is 1276. Then, The greatest common factor of 1276 and 4147 is 319.
result = "319"