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

Response:
The least common multiple of 168 and 20 is 840.
result = "840"


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

Response:
The least common multiple of 54 and 65 is 3510.
result = "3510"


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

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

[User]
Apply lcm to 90 and 41.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 90 and 41 is 3690.
result = "3690"


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

Response:
The least common multiple of 48 and 52 is 624.
result = "624"


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

Response:
The least common multiple of 47 and 161 is 7567.
result = "7567"


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

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

[User]
Apply lcm to 183 and 40.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 183 and 40 is 7320.
result = "7320"


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

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

[User]
Apply lcm to 141 and 62.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 141 and 62 is 8742.
result = "8742"


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

Response:
The least common multiple of 55 and 145 is 1595.
result = "1595"


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

Response:
The least common multiple of 28 and 80 is 560.
result = "560"


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

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

[User]
Apply lcm to 180 and 165.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 180 and 165 is 1980.
result = "1980"


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

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

[User]
Apply lcm to 37 and 161.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 37 and 161 is 5957.
result = "5957"


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

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

[User]
Apply lcm to 195 and 44.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 195 and 44 is 8580.
result = "8580"


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

Response:
The least common multiple of 41 and 142 is 5822.
result = "5822"


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

Response:
The least common multiple of 28 and 64 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 185 and 140.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 185 and 140 is 5180.
result = "5180"


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

Response:
The least common multiple of 37 and 194 is 7178.
result = "7178"


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

Response:
The least common multiple of 75 and 49 is 3675.
result = "3675"


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

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

[User]
Apply lcm to 120 and 129.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 120 and 129 is 5160.
result = "5160"


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

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

[User]
Apply lcm to 67 and 52.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 67 and 52 is 3484.
result = "3484"


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

Response:
The least common multiple of 75 and 97 is 7275.
result = "7275"


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

Response:
The least common multiple of 21 and 156 is 1092.
result = "1092"


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

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

[User]
Apply lcm to 163 and 36.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 163 and 36 is 5868.
result = "5868"


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

Response:
The least common multiple of 45 and 51 is 765.
result = "765"


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

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

[User]
Apply lcm to 29 and 155.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 29 and 155 is 4495.
result = "4495"


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

Response:
The least common multiple of 20 and 21 is 420.
result = "420"


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

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

[User]
Apply lcm to 126 and 25.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 126 and 25 is 3150.
result = "3150"


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

Response:
The least common multiple of 53 and 79 is 4187.
result = "4187"


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

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

[User]
Apply lcm to 101 and 64.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 101 and 64 is 6464.
result = "6464"


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

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

[User]
Apply lcm to 184 and 98.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 184 and 98 is 9016.
result = "9016"


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

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

[User]
Apply lcm to 88 and 35.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 88 and 35 is 3080.
result = "3080"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<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 115.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 38 and 115 is 4370.
result = "4370"


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

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

[User]
Apply lcm to 29 and 18.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 29 and 18 is 522.
result = "522"


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

Response:
The least common multiple of 21 and 96 is 672.
result = "672"


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

Response:
The least common multiple of 189 and 49 is 1323.
result = "1323"


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

Response:
The least common multiple of 39 and 199 is 7761.
result = "7761"


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

Response:
The least common multiple of 112 and 174 is 9744.
result = "9744"


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

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

[User]
Apply lcm to 191 and 48.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 191 and 48 is 9168.
result = "9168"


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

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

[User]
Apply lcm to 116 and 88.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 116 and 88 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 44 and 147.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 44 and 147 is 6468.
result = "6468"


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

Response:
The least common multiple of 174 and 171 is 9918.
result = "9918"


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

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

[User]
Apply lcm to 57 and 165.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 57 and 165 is 3135.
result = "3135"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<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 115.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 80 and 115 is 1840.
result = "1840"


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

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

[User]
Apply lcm to 198 and 51.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 198 and 51 is 3366.
result = "3366"


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

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

[User]
Apply lcm to 88 and 152.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 88 and 152 is 1672.
result = "1672"


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

Response:
The least common multiple of 32 and 136 is 544.
result = "544"


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

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

[User]
Apply lcm to 195 and 25.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 195 and 25 is 975.
result = "975"


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

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

[User]
Apply lcm to 117 and 182.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 117 and 182 is 1638.
result = "1638"


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

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

[User]
Apply lcm to 57 and 41.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 57 and 41 is 2337.
result = "2337"


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

Response:
The least common multiple of 16 and 168 is 336.
result = "336"


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

Response:
The least common multiple of 168 and 70 is 840.
result = "840"


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

Response:
The least common multiple of 105 and 120 is 840.
result = "840"


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

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

[User]
Apply lcm to 74 and 166.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 74 and 166 is 6142.
result = "6142"


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

Response:
The least common multiple of 35 and 172 is 6020.
result = "6020"


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

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

[User]
Apply lcm to 78 and 77.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 78 and 77 is 6006.
result = "6006"


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

Response:
The least common multiple of 63 and 66 is 1386.
result = "1386"


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

Response:
The least common multiple of 149 and 49 is 7301.
result = "7301"


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

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

[User]
Apply lcm to 116 and 98.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 116 and 98 is 5684.
result = "5684"


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

Response:
The least common multiple of 68 and 162 is 5508.
result = "5508"


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

Response:
The least common multiple of 121 and 25 is 3025.
result = "3025"


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

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

[User]
Apply lcm to 108 and 92.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 108 and 92 is 2484.
result = "2484"


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

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

[User]
Apply lcm to 163 and 41.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 163 and 41 is 6683.
result = "6683"


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

Response:
The least common multiple of 28 and 27 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 44 and 41.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 44 and 41 is 1804.
result = "1804"


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

Response:
The least common multiple of 59 and 41 is 2419.
result = "2419"


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

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

[User]
Apply lcm to 123 and 84.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 123 and 84 is 3444.
result = "3444"


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

Response:
The least common multiple of 44 and 102 is 2244.
result = "2244"


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

Response:
The least common multiple of 55 and 37 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 183 and 105.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 183 and 105 is 6405.
result = "6405"


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

Response:
The least common multiple of 97 and 87 is 8439.
result = "8439"


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

Response:
The least common multiple of 64 and 156 is 2496.
result = "2496"


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

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

[User]
Apply lcm to 165 and 84.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 165 and 84 is 4620.
result = "4620"


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

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

[User]
Apply lcm to 141 and 21.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 141 and 21 is 987.
result = "987"


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

Response:
The least common multiple of 179 and 53 is 9487.
result = "9487"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<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 129.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 21 and 129 is 903.
result = "903"


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

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

[User]
Apply lcm to 23 and 44.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 23 and 44 is 1012.
result = "1012"


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

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

[User]
Apply lcm to 134 and 15.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 134 and 15 is 2010.
result = "2010"


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

Response:
The least common multiple of 48 and 180 is 720.
result = "720"


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

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

[User]
Apply lcm to 192 and 21.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 192 and 21 is 1344.
result = "1344"


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

Response:
The least common multiple of 61 and 40 is 2440.
result = "2440"


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

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

[User]
Apply lcm to 90 and 136.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 90 and 136 is 6120.
result = "6120"


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

Response:
The least common multiple of 162 and 12 is 324.
result = "324"


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

Response:
The least common multiple of 80 and 77 is 6160.
result = "6160"


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

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

[User]
Apply lcm to 135 and 56.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 135 and 56 is 7560.
result = "7560"


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

Response:
The least common multiple of 168 and 123 is 6888.
result = "6888"


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

Response:
The least common multiple of 119 and 63 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 41 and 193.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 41 and 193 is 7913.
result = "7913"


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

Response:
The least common multiple of 12 and 116 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 42 and 81.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 42 and 81 is 1134.
result = "1134"


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

Response:
The least common multiple of 58 and 80 is 2320.
result = "2320"


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

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

[User]
Apply lcm to 69 and 67.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 69 and 67 is 4623.
result = "4623"


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

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

[User]
Apply lcm to 73 and 13.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 73 and 13 is 949.
result = "949"


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

Response:
The least common multiple of 63 and 118 is 7434.
result = "7434"


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

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

[User]
Apply lcm to 33 and 57.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 33 and 57 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 117 and 61.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 117 and 61 is 7137.
result = "7137"


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

Response:
The least common multiple of 62 and 22 is 682.
result = "682"


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

Response:
The least common multiple of 150 and 66 is 1650.
result = "1650"


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

Response:
The least common multiple of 30 and 196 is 2940.
result = "2940"


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

Response:
The least common multiple of 17 and 12 is 204.
result = "204"


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

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

[User]
Apply lcm to 58 and 107.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 58 and 107 is 6206.
result = "6206"


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

Response:
The least common multiple of 21 and 158 is 3318.
result = "3318"


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

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

[User]
Apply lcm to 18 and 143.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 18 and 143 is 2574.
result = "2574"


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

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

[User]
Apply lcm to 32 and 69.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 32 and 69 is 2208.
result = "2208"


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

Response:
The least common multiple of 46 and 13 is 598.
result = "598"


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

Response:
The least common multiple of 36 and 27 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 61 and 39.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 61 and 39 is 2379.
result = "2379"


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

Response:
The least common multiple of 33 and 75 is 825.
result = "825"


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

Response:
The least common multiple of 47 and 34 is 1598.
result = "1598"


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

Response:
The least common multiple of 55 and 13 is 715.
result = "715"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<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 141.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 94 and 141 is 282.
result = "282"


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

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

[User]
Apply lcm to 171 and 133.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 171 and 133 is 1197.
result = "1197"


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

Response:
The least common multiple of 12 and 158 is 948.
result = "948"


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

Response:
The least common multiple of 114 and 73 is 8322.
result = "8322"


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

Response:
The least common multiple of 20 and 96 is 480.
result = "480"


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

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

[User]
Apply lcm to 57 and 136.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 57 and 136 is 7752.
result = "7752"


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

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

[User]
Apply lcm to 105 and 34.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 105 and 34 is 3570.
result = "3570"


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

Response:
The least common multiple of 64 and 85 is 5440.
result = "5440"


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

Response:
The least common multiple of 87 and 69 is 2001.
result = "2001"


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

Response:
The least common multiple of 119 and 73 is 8687.
result = "8687"


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

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

[User]
Apply lcm to 178 and 20.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 178 and 20 is 1780.
result = "1780"


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

Response:
The least common multiple of 26 and 31 is 806.
result = "806"


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

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

[User]
Apply lcm to 108 and 188.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 108 and 188 is 5076.
result = "5076"


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

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

[User]
Apply lcm to 116 and 68.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 116 and 68 is 1972.
result = "1972"


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

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


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

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

[User]
Apply lcm to 143 and 52.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 143 and 52 is 572.
result = "572"


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

Response:
The least common multiple of 69 and 63 is 1449.
result = "1449"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<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 189.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 120 and 189 is 7560.
result = "7560"


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

Response:
The least common multiple of 40 and 150 is 600.
result = "600"


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

Response:
The least common multiple of 35 and 126 is 630.
result = "630"


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

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

[User]
Apply lcm to 25 and 134.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 25 and 134 is 3350.
result = "3350"


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

Response:
The least common multiple of 80 and 31 is 2480.
result = "2480"


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

Response:
The least common multiple of 111 and 36 is 1332.
result = "1332"


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

Response:
The least common multiple of 20 and 99 is 1980.
result = "1980"


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

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

[User]
Apply lcm to 57 and 148.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 57 and 148 is 8436.
result = "8436"


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

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

[User]
Apply lcm to 198 and 110.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 198 and 110 is 990.
result = "990"


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

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

[User]
Apply lcm to 27 and 192.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 27 and 192 is 1728.
result = "1728"


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

Response:
The least common multiple of 144 and 78 is 1872.
result = "1872"


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

Response:
The least common multiple of 54 and 64 is 1728.
result = "1728"


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

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

[User]
Apply lcm to 99 and 51.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 99 and 51 is 1683.
result = "1683"


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

Response:
The least common multiple of 47 and 150 is 7050.
result = "7050"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<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 107.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 52 and 107 is 5564.
result = "5564"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<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 198.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 52 and 198 is 5148.
result = "5148"


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

Response:
The least common multiple of 112 and 18 is 1008.
result = "1008"


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

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

[User]
Apply lcm to 23 and 61.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 23 and 61 is 1403.
result = "1403"


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

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

[User]
Apply lcm to 67 and 103.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 67 and 103 is 6901.
result = "6901"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<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 129.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 49 and 129 is 6321.
result = "6321"


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

Response:
The least common multiple of 19 and 160 is 3040.
result = "3040"


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

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

[User]
Apply lcm to 154 and 165.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 154 and 165 is 2310.
result = "2310"


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

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

[User]
Apply lcm to 60 and 69.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 60 and 69 is 1380.
result = "1380"


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

Response:
The least common multiple of 31 and 37 is 1147.
result = "1147"


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

Response:
The least common multiple of 176 and 154 is 1232.
result = "1232"


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

Response:
The least common multiple of 119 and 98 is 1666.
result = "1666"


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

Response:
The least common multiple of 33 and 70 is 2310.
result = "2310"


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

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

[User]
Apply lcm to 93 and 53.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 93 and 53 is 4929.
result = "4929"


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

Response:
The least common multiple of 186 and 88 is 8184.
result = "8184"


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

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

[User]
Apply lcm to 96 and 61.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 96 and 61 is 5856.
result = "5856"


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

Response:
The least common multiple of 16 and 102 is 816.
result = "816"


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

Response:
The least common multiple of 129 and 86 is 258.
result = "258"


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

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

[User]
Apply lcm to 63 and 35.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 63 and 35 is 315.
result = "315"


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

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

[User]
Apply lcm to 54 and 165.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 54 and 165 is 2970.
result = "2970"


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

Response:
The least common multiple of 21 and 24 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 107 and 32.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 107 and 32 is 3424.
result = "3424"


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

Response:
The least common multiple of 69 and 30 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 154 and 35.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 154 and 35 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 62 and 109.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 62 and 109 is 6758.
result = "6758"


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

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

[User]
A line is given by the equation -1344x - 2556y = 858816. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -1344x = 858816 -> x = 858816 / -1344 = -639
y-intercept: set x = 0 -> -2556y = 858816 -> y = 858816 / -2556 = -336
result = "x_intercept=-639, y_intercept=-336"

line_intercepts:'A line is given by the equation -1344x - 2556y = 858816. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -878x - 438y = 192282. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -878x = 192282 -> x = 192282 / -878 = -219
y-intercept: set x = 0 -> -438y = 192282 -> y = 192282 / -438 = -439
result = "x_intercept=-219, y_intercept=-439"

line_intercepts:'A line is given by the equation -878x - 438y = 192282. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 826x - 1144y = -472472. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 826x = -472472 -> x = -472472 / 826 = -572
y-intercept: set x = 0 -> -1144y = -472472 -> y = -472472 / -1144 = 413
result = "x_intercept=-572, y_intercept=413"

line_intercepts:'A line is given by the equation 826x - 1144y = -472472. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -3756x + 1688y = -1585032. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -3756x = -1585032 -> x = -1585032 / -3756 = 422
y-intercept: set x = 0 -> 1688y = -1585032 -> y = -1585032 / 1688 = -939
result = "x_intercept=422, y_intercept=-939"

line_intercepts:'A line is given by the equation -3756x + 1688y = -1585032. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 2592x + 3344y = 2166912. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 2592x = 2166912 -> x = 2166912 / 2592 = 836
y-intercept: set x = 0 -> 3344y = 2166912 -> y = 2166912 / 3344 = 648
result = "x_intercept=836, y_intercept=648"

line_intercepts:'A line is given by the equation 2592x + 3344y = 2166912. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 1132x + 1192y = 337336. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 1132x = 337336 -> x = 337336 / 1132 = 298
y-intercept: set x = 0 -> 1192y = 337336 -> y = 337336 / 1192 = 283
result = "x_intercept=298, y_intercept=283"

line_intercepts:'A line is given by the equation 1132x + 1192y = 337336. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 1509x + 1533y = 771099. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 1509x = 771099 -> x = 771099 / 1509 = 511
y-intercept: set x = 0 -> 1533y = 771099 -> y = 771099 / 1533 = 503
result = "x_intercept=511, y_intercept=503"

line_intercepts:'A line is given by the equation 1509x + 1533y = 771099. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -849x + 1245y = -352335. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -849x = -352335 -> x = -352335 / -849 = 415
y-intercept: set x = 0 -> 1245y = -352335 -> y = -352335 / 1245 = -283
result = "x_intercept=415, y_intercept=-283"

line_intercepts:'A line is given by the equation -849x + 1245y = -352335. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -3688x + 904y = -833488. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -3688x = -833488 -> x = -833488 / -3688 = 226
y-intercept: set x = 0 -> 904y = -833488 -> y = -833488 / 904 = -922
result = "x_intercept=226, y_intercept=-922"

line_intercepts:'A line is given by the equation -3688x + 904y = -833488. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 808x - 1862y = -752248. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 808x = -752248 -> x = -752248 / 808 = -931
y-intercept: set x = 0 -> -1862y = -752248 -> y = -752248 / -1862 = 404
result = "x_intercept=-931, y_intercept=404"

line_intercepts:'A line is given by the equation 808x - 1862y = -752248. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 920x + 484y = 111320. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 920x = 111320 -> x = 111320 / 920 = 121
y-intercept: set x = 0 -> 484y = 111320 -> y = 111320 / 484 = 230
result = "x_intercept=121, y_intercept=230"

line_intercepts:'A line is given by the equation 920x + 484y = 111320. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 3136x - 1800y = -1411200. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 3136x = -1411200 -> x = -1411200 / 3136 = -450
y-intercept: set x = 0 -> -1800y = -1411200 -> y = -1411200 / -1800 = 784
result = "x_intercept=-450, y_intercept=784"

line_intercepts:'A line is given by the equation 3136x - 1800y = -1411200. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 724x + 904y = 327248. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 724x = 327248 -> x = 327248 / 724 = 452
y-intercept: set x = 0 -> 904y = 327248 -> y = 327248 / 904 = 362
result = "x_intercept=452, y_intercept=362"

line_intercepts:'A line is given by the equation 724x + 904y = 327248. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -2280x - 2427y = 1844520. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -2280x = 1844520 -> x = 1844520 / -2280 = -809
y-intercept: set x = 0 -> -2427y = 1844520 -> y = 1844520 / -2427 = -760
result = "x_intercept=-809, y_intercept=-760"

line_intercepts:'A line is given by the equation -2280x - 2427y = 1844520. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 657x - 1482y = -324558. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 657x = -324558 -> x = -324558 / 657 = -494
y-intercept: set x = 0 -> -1482y = -324558 -> y = -324558 / -1482 = 219
result = "x_intercept=-494, y_intercept=219"

line_intercepts:'A line is given by the equation 657x - 1482y = -324558. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -357x + 732y = -87108. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -357x = -87108 -> x = -87108 / -357 = 244
y-intercept: set x = 0 -> 732y = -87108 -> y = -87108 / 732 = -119
result = "x_intercept=244, y_intercept=-119"

line_intercepts:'A line is given by the equation -357x + 732y = -87108. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 1652x + 1480y = 1222480. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 1652x = 1222480 -> x = 1222480 / 1652 = 740
y-intercept: set x = 0 -> 1480y = 1222480 -> y = 1222480 / 1480 = 826
result = "x_intercept=740, y_intercept=826"

line_intercepts:'A line is given by the equation 1652x + 1480y = 1222480. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -1134x + 1640y = -929880. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -1134x = -929880 -> x = -929880 / -1134 = 820
y-intercept: set x = 0 -> 1640y = -929880 -> y = -929880 / 1640 = -567
result = "x_intercept=820, y_intercept=-567"

line_intercepts:'A line is given by the equation -1134x + 1640y = -929880. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 2259x - 2034y = -1531602. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 2259x = -1531602 -> x = -1531602 / 2259 = -678
y-intercept: set x = 0 -> -2034y = -1531602 -> y = -1531602 / -2034 = 753
result = "x_intercept=-678, y_intercept=753"

line_intercepts:'A line is given by the equation 2259x - 2034y = -1531602. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -2052x - 1410y = 964440. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -2052x = 964440 -> x = 964440 / -2052 = -470
y-intercept: set x = 0 -> -1410y = 964440 -> y = 964440 / -1410 = -684
result = "x_intercept=-470, y_intercept=-684"

line_intercepts:'A line is given by the equation -2052x - 1410y = 964440. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 1020x - 2925y = -994500. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 1020x = -994500 -> x = -994500 / 1020 = -975
y-intercept: set x = 0 -> -2925y = -994500 -> y = -994500 / -2925 = 340
result = "x_intercept=-975, y_intercept=340"

line_intercepts:'A line is given by the equation 1020x - 2925y = -994500. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 416x - 2404y = -250016. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 416x = -250016 -> x = -250016 / 416 = -601
y-intercept: set x = 0 -> -2404y = -250016 -> y = -250016 / -2404 = 104
result = "x_intercept=-601, y_intercept=104"

line_intercepts:'A line is given by the equation 416x - 2404y = -250016. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -534x - 1722y = 306516. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -534x = 306516 -> x = 306516 / -534 = -574
y-intercept: set x = 0 -> -1722y = 306516 -> y = 306516 / -1722 = -178
result = "x_intercept=-574, y_intercept=-178"

line_intercepts:'A line is given by the equation -534x - 1722y = 306516. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -3192x + 3224y = -2572752. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -3192x = -2572752 -> x = -2572752 / -3192 = 806
y-intercept: set x = 0 -> 3224y = -2572752 -> y = -2572752 / 3224 = -798
result = "x_intercept=806, y_intercept=-798"

line_intercepts:'A line is given by the equation -3192x + 3224y = -2572752. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 2487x - 2841y = -2355189. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 2487x = -2355189 -> x = -2355189 / 2487 = -947
y-intercept: set x = 0 -> -2841y = -2355189 -> y = -2355189 / -2841 = 829
result = "x_intercept=-947, y_intercept=829"

line_intercepts:'A line is given by the equation 2487x - 2841y = -2355189. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 468x + 3184y = 372528. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 468x = 372528 -> x = 372528 / 468 = 796
y-intercept: set x = 0 -> 3184y = 372528 -> y = 372528 / 3184 = 117
result = "x_intercept=796, y_intercept=117"

line_intercepts:'A line is given by the equation 468x + 3184y = 372528. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 3348x + 876y = 733212. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 3348x = 733212 -> x = 733212 / 3348 = 219
y-intercept: set x = 0 -> 876y = 733212 -> y = 733212 / 876 = 837
result = "x_intercept=219, y_intercept=837"

line_intercepts:'A line is given by the equation 3348x + 876y = 733212. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 2196x - 1383y = -1012356. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 2196x = -1012356 -> x = -1012356 / 2196 = -461
y-intercept: set x = 0 -> -1383y = -1012356 -> y = -1012356 / -1383 = 732
result = "x_intercept=-461, y_intercept=732"

line_intercepts:'A line is given by the equation 2196x - 1383y = -1012356. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 3820x + 912y = 870960. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 3820x = 870960 -> x = 870960 / 3820 = 228
y-intercept: set x = 0 -> 912y = 870960 -> y = 870960 / 912 = 955
result = "x_intercept=228, y_intercept=955"

line_intercepts:'A line is given by the equation 3820x + 912y = 870960. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -1936x - 444y = 214896. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -1936x = 214896 -> x = 214896 / -1936 = -111
y-intercept: set x = 0 -> -444y = 214896 -> y = 214896 / -444 = -484
result = "x_intercept=-111, y_intercept=-484"

line_intercepts:'A line is given by the equation -1936x - 444y = 214896. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -528x + 1842y = -486288. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -528x = -486288 -> x = -486288 / -528 = 921
y-intercept: set x = 0 -> 1842y = -486288 -> y = -486288 / 1842 = -264
result = "x_intercept=921, y_intercept=-264"

line_intercepts:'A line is given by the equation -528x + 1842y = -486288. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -3656x + 2512y = -2295968. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -3656x = -2295968 -> x = -2295968 / -3656 = 628
y-intercept: set x = 0 -> 2512y = -2295968 -> y = -2295968 / 2512 = -914
result = "x_intercept=628, y_intercept=-914"

line_intercepts:'A line is given by the equation -3656x + 2512y = -2295968. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 696x + 2307y = 535224. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 696x = 535224 -> x = 535224 / 696 = 769
y-intercept: set x = 0 -> 2307y = 535224 -> y = 535224 / 2307 = 232
result = "x_intercept=769, y_intercept=232"

line_intercepts:'A line is given by the equation 696x + 2307y = 535224. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 1590x - 1898y = -1508910. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 1590x = -1508910 -> x = -1508910 / 1590 = -949
y-intercept: set x = 0 -> -1898y = -1508910 -> y = -1508910 / -1898 = 795
result = "x_intercept=-949, y_intercept=795"

line_intercepts:'A line is given by the equation 1590x - 1898y = -1508910. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 616x - 1788y = -275352. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 616x = -275352 -> x = -275352 / 616 = -447
y-intercept: set x = 0 -> -1788y = -275352 -> y = -275352 / -1788 = 154
result = "x_intercept=-447, y_intercept=154"

line_intercepts:'A line is given by the equation 616x - 1788y = -275352. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -1242x - 934y = 580014. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -1242x = 580014 -> x = 580014 / -1242 = -467
y-intercept: set x = 0 -> -934y = 580014 -> y = 580014 / -934 = -621
result = "x_intercept=-467, y_intercept=-621"

line_intercepts:'A line is given by the equation -1242x - 934y = 580014. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -2228x - 980y = 545860. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -2228x = 545860 -> x = 545860 / -2228 = -245
y-intercept: set x = 0 -> -980y = 545860 -> y = 545860 / -980 = -557
result = "x_intercept=-245, y_intercept=-557"

line_intercepts:'A line is given by the equation -2228x - 980y = 545860. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 1762x - 734y = -646654. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 1762x = -646654 -> x = -646654 / 1762 = -367
y-intercept: set x = 0 -> -734y = -646654 -> y = -646654 / -734 = 881
result = "x_intercept=-367, y_intercept=881"

line_intercepts:'A line is given by the equation 1762x - 734y = -646654. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 1472x + 452y = 166336. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 1472x = 166336 -> x = 166336 / 1472 = 113
y-intercept: set x = 0 -> 452y = 166336 -> y = 166336 / 452 = 368
result = "x_intercept=113, y_intercept=368"

line_intercepts:'A line is given by the equation 1472x + 452y = 166336. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 2166x - 2085y = -1505370. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 2166x = -1505370 -> x = -1505370 / 2166 = -695
y-intercept: set x = 0 -> -2085y = -1505370 -> y = -1505370 / -2085 = 722
result = "x_intercept=-695, y_intercept=722"

line_intercepts:'A line is given by the equation 2166x - 2085y = -1505370. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -3192x + 3848y = -3070704. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -3192x = -3070704 -> x = -3070704 / -3192 = 962
y-intercept: set x = 0 -> 3848y = -3070704 -> y = -3070704 / 3848 = -798
result = "x_intercept=962, y_intercept=-798"

line_intercepts:'A line is given by the equation -3192x + 3848y = -3070704. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -3236x - 2000y = 1618000. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -3236x = 1618000 -> x = 1618000 / -3236 = -500
y-intercept: set x = 0 -> -2000y = 1618000 -> y = 1618000 / -2000 = -809
result = "x_intercept=-500, y_intercept=-809"

line_intercepts:'A line is given by the equation -3236x - 2000y = 1618000. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation -3796x - 2176y = 2065024. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> -3796x = 2065024 -> x = 2065024 / -3796 = -544
y-intercept: set x = 0 -> -2176y = 2065024 -> y = 2065024 / -2176 = -949
result = "x_intercept=-544, y_intercept=-949"

line_intercepts:'A line is given by the equation -3796x - 2176y = 2065024. Find its x-intercept and y-intercept.'


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

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

[User]
A line is given by the equation 1360x - 1140y = -775200. Find its x-intercept and y-intercept.
Show your working, then end with:
result = "<...>"

Response:
x-intercept: set y = 0 -> 1360x = -775200 -> x = -775200 / 1360 = -570
y-intercept: set x = 0 -> -1140y = -775200 -> y = -775200 / -1140 = 680
result = "x_intercept=-570, y_intercept=680"

line_intercepts:'A line is given by the equation 1360x - 1140y = -775200. Find its x-intercept and y-intercept.'