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231 x 804
185724
longmult_3dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n231 x 804\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 231, \"arg2\": 804, \"solution\": 185724}", "task_source": "longmult"}
sft_train
{"arg1": 231, "arg2": 804, "solution": 185724}
[ "To solve the multiplication equation \\(231 \\times 804\\), we can break it down into simpler steps:\n\n### Step 1: Break Down the Numbers\nFirst, let's rewrite the numbers as products of their digits and place values:\n- \\(231 = 200 + 30 + 1\\)\n- \\(804 = 800 + 4\\)\n\n### Step 2: Multiply Each Term Separately\...
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{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 256}
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2025-08-30
571 x 918
524178
longmult_3dig
longmult
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"[{\"extraction_type\": \"final\", \"non_overlapping_spans\": 1, \"original_span\": \"(526178)\", \"(...TRUNCATED)
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[[false],[],[false],[false],[false],[],[false],[],[false],[false],[false],[],[],[false],[true],[fals(...TRUNCATED)
[["(526178)"],[],["(51418)"],["55958"],["(66236)"],[],["61668"],[],["538558"],["114168"],["(54051)"](...TRUNCATED)
"[{\"value\": \"[{'confidence': 1.0, 'extraction_type': 'internal', 'original_span': '(526178)', 'pa(...TRUNCATED)
"[{\"value\": \"[{'evaluation_method': 'legacy', 'legacy_result': False}]\"}, {\"value\": \"[]\"}, {(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0(...TRUNCATED)
2025-08-30
217 x 394
85498
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 217, \\\"arg2\\\": 394, \\\"solution\\\": 85498}\", \"task_source\"(...TRUNCATED)
sft_train
{"arg1": 217, "arg2": 394, "solution": 85498}
["To solve the multiplication equation \\(217 \\times 394\\), we can break it down into simpler step(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
["","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:47667/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,true,false,false,false,true(...TRUNCATED)
[null,"8422",null,null,"3696","74648",null,null,null,null,null,null,"(85498)","1075180","85598","(86(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"non_overlapping_spans\": null, \"original_span\": null, \"span_(...TRUNCATED)
"[{\"evaluation_method\": \"response_processor\", \"extraction_result\": \"{'extraction_type': 'fina(...TRUNCATED)
[[],[false],[],[],[false],[false],[],[],[],[],[],[],[true],[false],[false],[false],[true],[],[],[],[(...TRUNCATED)
[[],["8422"],[],[],["3696"],["74648"],[],[],[],[],[],[],["(85498)"],["1075180"],["85598"],["(86858)"(...TRUNCATED)
"[{\"value\": \"[]\"}, {\"value\": \"[{'confidence': 1.0, 'extraction_type': 'internal', 'original_s(...TRUNCATED)
"[{\"value\": \"[]\"}, {\"value\": \"[{'evaluation_method': 'legacy', 'legacy_result': False}]\"}, {(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0(...TRUNCATED)
2025-08-30
161 x 160
25760
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 161, \\\"arg2\\\": 160, \\\"solution\\\": 25760}\", \"task_source\"(...TRUNCATED)
sft_train
{"arg1": 161, "arg2": 160, "solution": 25760}
["To solve the multiplication equation \\( 161 \\times 160 \\), we can break it down into simpler st(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
["","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:47667/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
[false,false,false,false,true,false,true,true,false,false,true,false,false,false,false,false,false,f(...TRUNCATED)
[null,null,null,null,"25760",null,"25760","25760",null,null,"25760",null,"40160","25439",null,null,"(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"non_overlapping_spans\": null, \"original_span\": null, \"span_(...TRUNCATED)
"[{\"evaluation_method\": \"response_processor\", \"extraction_result\": \"{'extraction_type': 'fina(...TRUNCATED)
[[],[],[],[],[true],[],[true],[true],[],[],[true],[],[false],[false],[],[],[false],[],[],[],[true],[(...TRUNCATED)
[[],[],[],[],["25760"],[],["25760"],["25760"],[],[],["25760"],[],["40160"],["25439"],[],[],["3220"],(...TRUNCATED)
"[{\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"(...TRUNCATED)
"[{\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0(...TRUNCATED)
2025-08-30
549 x 718
394182
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 549, \\\"arg2\\\": 718, \\\"solution\\\": 394182}\", \"task_source\(...TRUNCATED)
sft_train
{"arg1": 549, "arg2": 718, "solution": 394182}
["To solve the multiplication equation \\(549 \\times 718\\), we can break it down into smaller part(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
["","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:47667/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,true,false,false,false,true,false,false,false(...TRUNCATED)
["364182",null,"48312","390422","395282","427882",null,null,"(414182)","394,182","433710",null,null,(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"non_overlapping_spans\": 1, \"original_span\": \"364182\", \"sp(...TRUNCATED)
"[{\"evaluation_method\": \"legacy\", \"extraction_result\": null, \"legacy_result\": false, \"reaso(...TRUNCATED)
[[false],[],[false],[false],[false],[false],[],[],[false],[true],[false],[],[],[true],[false],[],[],(...TRUNCATED)
[["364182"],[],["48312"],["390422"],["395282"],["427882"],[],[],["(414182)"],["394,182"],["433710"],(...TRUNCATED)
"[{\"value\": \"[{'confidence': 1.0, 'extraction_type': 'internal', 'original_span': '364182', 'patt(...TRUNCATED)
"[{\"value\": \"[{'evaluation_method': 'legacy', 'legacy_result': False}]\"}, {\"value\": \"[]\"}, {(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0(...TRUNCATED)
2025-08-30
865 x 309
267285
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 865, \\\"arg2\\\": 309, \\\"solution\\\": 267285}\", \"task_source\(...TRUNCATED)
sft_train
{"arg1": 865, "arg2": 309, "solution": 267285}
["To solve the multiplication problem \\( 865 \\times 309 \\), we can break it down into simpler ste(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
["","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:47667/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,true,false,fals(...TRUNCATED)
["269035",null,"10380",null,"265740","(259500)",null,null,null,null,null,null,null,null,"267285",nul(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"non_overlapping_spans\": 1, \"original_span\": \"269035\", \"sp(...TRUNCATED)
"[{\"evaluation_method\": \"legacy\", \"extraction_result\": null, \"legacy_result\": false, \"reaso(...TRUNCATED)
[[false],[],[false],[],[false],[false],[],[],[],[],[],[],[],[],[true],[],[false],[false],[],[true],[(...TRUNCATED)
[["269035"],[],["10380"],[],["265740"],["(259500)"],[],[],[],[],[],[],[],[],["267285"],[],["274745"](...TRUNCATED)
"[{\"value\": \"[{'confidence': 1.0, 'extraction_type': 'internal', 'original_span': '269035', 'patt(...TRUNCATED)
"[{\"value\": \"[{'evaluation_method': 'legacy', 'legacy_result': False}]\"}, {\"value\": \"[]\"}, {(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0(...TRUNCATED)
2025-08-30
800 x 847
677600
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 800, \\\"arg2\\\": 847, \\\"solution\\\": 677600}\", \"task_source\(...TRUNCATED)
sft_train
{"arg1": 800, "arg2": 847, "solution": 677600}
["To solve the multiplication equation \\( 800 \\times 847 \\), we can break it down into simpler st(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
["","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:47667/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
[false,false,false,false,false,true,false,true,false,false,false,false,false,false,false,false,true,(...TRUNCATED)
[null,null,null,"37600",null,"677600",null,"677600","44000",null,null,"734160",null,null,"74536",nul(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"non_overlapping_spans\": null, \"original_span\": null, \"span_(...TRUNCATED)
"[{\"evaluation_method\": \"response_processor\", \"extraction_result\": \"{'extraction_type': 'fina(...TRUNCATED)
[[],[],[],[false],[],[true],[],[true],[false],[],[],[false],[],[],[false],[],[true],[],[],[],[],[],[(...TRUNCATED)
[[],[],[],["37600"],[],["677600"],[],["677600"],["44000"],[],[],["734160"],[],[],["74536"],[],["6776(...TRUNCATED)
"[{\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"[{'confidence': 1.0, (...TRUNCATED)
"[{\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"[{'evaluation_method'(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0(...TRUNCATED)
2025-08-30
240 x 956
229440
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 240, \\\"arg2\\\": 956, \\\"solution\\\": 229440}\", \"task_source\(...TRUNCATED)
sft_train
{"arg1": 240, "arg2": 956, "solution": 229440}
["To solve the multiplication equation \\( 240 \\times 956 \\), we can break it down into simpler st(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
["","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:47667/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
[false,false,true,false,false,true,false,true,false,false,false,false,false,false,false,false,true,f(...TRUNCATED)
[null,null,"229440",null,null,"229440",null,"229440",null,null,"228440","573600",null,"573600",null,(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"non_overlapping_spans\": null, \"original_span\": null, \"span_(...TRUNCATED)
"[{\"evaluation_method\": \"response_processor\", \"extraction_result\": \"{'extraction_type': 'fina(...TRUNCATED)
[[],[],[true],[],[],[true],[],[true],[],[],[false],[false],[],[false],[],[],[true],[],[],[],[true],[(...TRUNCATED)
[[],[],["229440"],[],[],["229440"],[],["229440"],[],[],["228440"],["573600"],[],["573600"],[],[],["2(...TRUNCATED)
"[{\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"[{'confidence': 1.0, 'extraction_type': 'i(...TRUNCATED)
"[{\"value\": \"[]\"}, {\"value\": \"[]\"}, {\"value\": \"[{'evaluation_method': 'legacy', 'legacy_r(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0(...TRUNCATED)
2025-08-30
271 x 442
119782
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 271, \\\"arg2\\\": 442, \\\"solution\\\": 119782}\", \"task_source\(...TRUNCATED)
sft_train
{"arg1": 271, "arg2": 442, "solution": 119782}
["To solve the multiplication of 271 and 442, we can use the standard algorithm for multiplying numb(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
["","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:47667/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
[false,true,false,false,false,false,false,false,false,false,false,false,true,false,false,false,false(...TRUNCATED)
["(115942)","119782",null,null,"109484",null,null,"(123522)","120562","127782",null,"119762","119782(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"non_overlapping_spans\": 1, \"original_span\": \"(115942)\", \"(...TRUNCATED)
"[{\"evaluation_method\": \"legacy\", \"extraction_result\": null, \"legacy_result\": false, \"reaso(...TRUNCATED)
[[false],[true],[],[],[false],[],[],[false],[false],[false],[],[false],[true],[],[false],[false],[fa(...TRUNCATED)
[["(115942)"],["119782"],[],[],["109484"],[],[],["(123522)"],["120562"],["127782"],[],["119762"],["1(...TRUNCATED)
"[{\"value\": \"[{'confidence': 1.0, 'extraction_type': 'internal', 'original_span': '(115942)', 'pa(...TRUNCATED)
"[{\"value\": \"[{'evaluation_method': 'legacy', 'legacy_result': False}]\"}, {\"value\": \"[{'evalu(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0(...TRUNCATED)
2025-08-30
161 x 331
53291
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 161, \\\"arg2\\\": 331, \\\"solution\\\": 53291}\", \"task_source\"(...TRUNCATED)
sft_train
{"arg1": 161, "arg2": 331, "solution": 53291}
["To solve the multiplication equation \\(161 \\times 331\\), we can break it down into simpler step(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
["","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:47667/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
[false,false,false,false,false,true,true,false,false,false,true,true,false,false,true,false,false,fa(...TRUNCATED)
[null,"2317","54791",null,"66791","53291","53291",null,null,null,"(53291)","53291","57961","(31801)"(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"non_overlapping_spans\": null, \"original_span\": null, \"span_(...TRUNCATED)
"[{\"evaluation_method\": \"response_processor\", \"extraction_result\": \"{'extraction_type': 'fina(...TRUNCATED)
[[],[false],[false],[],[false],[true],[true],[],[],[],[true],[true],[false],[false],[true],[],[],[fa(...TRUNCATED)
[[],["2317"],["54791"],[],["66791"],["53291"],["53291"],[],[],[],["(53291)"],["53291"],["57961"],["((...TRUNCATED)
"[{\"value\": \"[]\"}, {\"value\": \"[{'confidence': 1.0, 'extraction_type': 'internal', 'original_s(...TRUNCATED)
"[{\"value\": \"[]\"}, {\"value\": \"[{'evaluation_method': 'legacy', 'legacy_result': False}]\"}, {(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0(...TRUNCATED)
2025-08-30
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