{
"ID": 0,
"主题": "Three pencils and a jumbo eraser cost $\\$1.24$. Five pencils and a jumbo eraser cost $\\$1.82$. No prices include tax. In cents, what is the cost of a pencil?",
"来源": "prm800k",
"回复": [
{
"楼ID": "0",
"回复": "Let's call the price of a pencil p and the price of a jumbo eraser e. Then we can write two equations.",
"扩展字段": "{\"\\u5f15\\u7528ID\": 0, \"from\": \"completions.text\", \"rating\": 1, \"is_answer\": false, \"is_solution\": false, \"is_preferred_response\": true, \"is_human_response\": false}"
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"元数据": {
"扩展字段": "{\"会话\": \"bb8e8fdd1ff5c331d300cb9fd13ca180\", \"多轮序号\": 1, \"标注人\": \"e90a38f3-3135-4465-87af-3e6322e3d772\", \"原文\": {\"labeler\": \"e90a38f3-3135-4465-87af-3e6322e3d772\", \"timestamp\": \"2022-07-30T23:23:32.118856\", \"generation\": null, \"is_quality_control_question\": false, \"is_initial_screening_question\": false, \"question\": {\"problem\": \"Three pencils and a jumbo eraser cost $\\\\$1.24$. Five pencils and a jumbo eraser cost $\\\\$1.82$. No prices include tax. In cents, what is the cost of a pencil?\", \"ground_truth_answer\": \"29\"}, \"label\": {\"steps\": [{\"completions\": [{\"text\": \"Let's call the price of a pencil p and the price of a jumbo eraser e. Then we can write two equations.\", \"rating\": 1, \"flagged\": false}], \"human_completion\": null, \"chosen_completion\": 0}, {\"completions\": [{\"text\": \"The first equation is 3p + e = 124, and the second equation is 5p + e = 182.\", \"rating\": -1, \"flagged\": false}, {\"text\": \"The first equation is 3p+e=124, and the second is 5p+e=182.\", \"rating\": -1, \"flagged\": false}, {\"text\": \"The first equation is 3p + e = 124.\", \"rating\": -1, \"flagged\": false}, {\"text\": \"The first equation is $3p+e=124$. The second equation is $5p+e=182$.\", \"rating\": -1, \"flagged\": false}, {\"text\": \"The first equation is $3p+e=124$.\", \"rating\": -1, \"flagged\": false}], \"human_completion\": {\"text\": \"We have $3p+e=1.24$ and $5p+e=1.82$.\", \"rating\": null, \"source\": \"human\", \"flagged\": false}, \"chosen_completion\": null}, {\"completions\": [{\"text\": \"To solve this system, let's subtract the first equation from the second equation. This will eliminate e.\", \"rating\": 1, \"flagged\": false}], \"human_completion\": null, \"chosen_completion\": 0}, {\"completions\": [{\"text\": \"$5p+e-3p-e=1.82-1.24$.\", \"rating\": 1, \"flagged\": false}], \"human_completion\": null, \"chosen_completion\": 0}, {\"completions\": [{\"text\": \"This simplifies to $2p=0.58$. So $p=0.29$.\", \"rating\": 1, \"flagged\": false}], \"human_completion\": null, \"chosen_completion\": 0}, {\"completions\": [{\"text\": \"We could also solve this system by substitution.\", \"rating\": 0, \"flagged\": false}, {\"text\": \"So a pencil costs $0.29.\", \"rating\": 1, \"flagged\": false}, {\"text\": \"Right. One pencil costs $\\\\$0.29$.\", \"rating\": 1, \"flagged\": false}, {\"text\": \"So the price of a pencil is 29 cents.\\n\\n# Answer\\n\\n29\", \"rating\": 1, \"flagged\": false}, {\"text\": \"That means a pencil costs 29 cents.\\n\\n# Answer\\n\\n29\", \"rating\": 1, \"flagged\": false}], \"human_completion\": null, \"chosen_completion\": 4}], \"total_time\": 293250, \"finish_reason\": \"solution\"}}}"
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