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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [31, 75, 4], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 75 - 4 + 31 | countdown_3arg | countdown | [
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9308 x 6067 | 56471636 | longmult_4dig | longmult | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"\\\"{\\\\\\\"arg1\\\\\\\": 9308, \\\\\\\"arg2\\\\\\\": 6067, \\\\\\\"solution\\\\\(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"arg1\": 9308, \"arg2\": 6067, \"solution\": 56471636}" | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve the multiplication equation \\( 9308 \\times 6067 \\), we will break i(...TRUNCATED) | [
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false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
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"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
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} | ["To solve for 109 using the numbers 98 and 11 with each number used exactly once, we need to find a(...TRUNCATED) | [
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true
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"98 + 11",
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7227 x 5554 | 40138758 | longmult_4dig | longmult | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"\\\"{\\\\\\\"arg1\\\\\\\": 7227, \\\\\\\"arg2\\\\\\\": 5554, \\\\\\\"solution\\\\\(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"arg1\": 7227, \"arg2\": 5554, \"solution\": 40138758}" | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve the multiplication equation \\( 7227 \\times 5554 \\), we will break i(...TRUNCATED) | [
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] | "{\"api_url\": \"http://127.0.0.1:57055/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
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] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 4, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[[{\"method\": \"llm_judge\"}, {\"method\": \"llm_judge\"}, {\"method\": \"llm_judge\"}, {\"method\(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | 2025-09-20 | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve the multiplication equation \\( 7227 \\times 5554 \\), we will break it down into simpler(...TRUNCATED) | [
false
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] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
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"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve the multiplication problem \\(7227 \\times 5554\\), I'll follow the standard algorithm fo(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
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"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To find the solution to the multiplication equation \\(7227 \\times 5554\\), I'll perform the mult(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
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"n_responses": 1
} | ["To solve the multiplication equation \\( 7227 \\times 5554 \\), we will break it down into simpler(...TRUNCATED) | [
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 6*(59 - 48 + 54) | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"\\\"{\\\\\\\"source_dataset\\\\\\\": \\\\\\\"countdown\\\\\\\", \\\\\\\"source_ind(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 232, \\\"numbers\\\": [6, 59, 5(...TRUNCATED) | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve for 390 using the numbers 6, 59, 54, and 48 with each number used exac(...TRUNCATED) | [
false
] | [
""
] | "{\"api_url\": \"http://127.0.0.1:57055/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
false
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null
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 0, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | [{"reason": "no_answer", "method": "llm_judge"}] | [
[]
] | [
[]
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 0, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | [[]] | {"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | 2025-09-20 | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve for 390 using the numbers 6, 59, 54, and 48 with each number used exactly once, we need t(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 390 using the numbers 6, 59, 54, and 48 with each used exactly once, I'll try differe(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 390 using the numbers 6, 59, 54, and 48 with each used exactly once, I'll try differe(...TRUNCATED) | [
false
] | [
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] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
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"n_responses": 1
} | ["To solve for 390 using the numbers 6, 59, 54, and 48 with each number used exactly once, we need t(...TRUNCATED) | [
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 62 + 99 + 47 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"\\\"{\\\\\\\"source_dataset\\\\\\\": \\\\\\\"countdown\\\\\\\", \\\\\\\"source_ind(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 6897, \\\"numbers\\\": [62, 99,(...TRUNCATED) | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve for 208 using the numbers 62, 99, and 47 with each number used exactly(...TRUNCATED) | [
false
] | [
""
] | "{\"api_url\": \"http://127.0.0.1:57055/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
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"99 + 62 + 47"
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[
true
]
] | [
[
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] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 1, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"99 + 62 + 47\", \"final_answer\": 208(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":1,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | 2025-09-20 | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve for 208 using the numbers 62, 99, and 47 with each number used exactly once, we need to f(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 208 using the numbers 62, 99, and 47 with each number used exactly once, we need to f(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 208 using the numbers 62, 99, and 47 with each used exactly once, we need to find a c(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 208 using the numbers 62, 99, and 47 with each number used exactly once, we need to f(...TRUNCATED) | [
true,
true,
true
] | [
"99 + 62 + 47",
"62 + 99 + 47",
"62 + 99 + 47"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"99 + 62 + 47\", \"final_answer\": 208.(...TRUNCATED) | [
[
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[
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[
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] | [["99 + 62 + 47"],["(62 + 99) + 47","62 + 99 + 47"],["99 + 62 + 47","(62 + 99) + 47","(62 + 99) + 47(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 2489, \"span_text\": \"99 +(...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"99 + 62 + 47\", \"final_answer\": 208(...TRUNCATED) | {"flips_by":[0,0,0],"flips_total":0,"num_correct":3,"pass_at_n":1,"percent_correct":1.0,"skill_count(...TRUNCATED) |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 51 + 24 + 25 - 48 + 80 | countdown_5arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"\\\"{\\\\\\\"source_dataset\\\\\\\": \\\\\\\"countdown\\\\\\\", \\\\\\\"source_ind(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 92, \\\"numbers\\\": [24, 25, 8(...TRUNCATED) | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve for 132 using the numbers 24, 25, 80, 48, and 51 with each number used(...TRUNCATED) | [
false
] | [
""
] | "{\"api_url\": \"http://127.0.0.1:57055/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
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"None of the provided combinations yield 132."
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 1, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"None of (...TRUNCATED) | [
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[
"None of the provided combinations yield 132."
]
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 1, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"None of(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | 2025-09-20 | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve for 132 using the numbers 24, 25, 80, 48, and 51 with each number used exactly once, we n(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 132 using the numbers 24, 25, 80, 48, and 51 with each used exactly once, I'll try di(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 132 using the numbers 24, 25, 80, 48, and 51 with each used exactly once, we need to (...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 132 using the numbers 24, 25, 80, 48, and 51 with each number used exactly once, we n(...TRUNCATED) | [
false,
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false
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null,
null,
"80 - 24 + 51"
] | "[{\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\(...TRUNCATED) | "[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED) | [
[],
[],
[
false
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] | [
[],
[],
[
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] | "[[], [], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1228, \"span_text\"(...TRUNCATED) | "[[], [], [{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_(...TRUNCATED) | {"flips_by":[0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_count(...TRUNCATED) |
7653 x 9977 | 76353981 | longmult_4dig | longmult | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"\\\"{\\\\\\\"arg1\\\\\\\": 7653, \\\\\\\"arg2\\\\\\\": 9977, \\\\\\\"solution\\\\\(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"arg1\": 7653, \"arg2\": 9977, \"solution\": 76353981}" | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve the multiplication equation \\( 7653 \\times 9977 \\), we will break i(...TRUNCATED) | [
false
] | [
""
] | "{\"api_url\": \"http://127.0.0.1:57055/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
false
] | [
"75999991"
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"75999991"
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] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 6, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[[{\"method\": \"llm_judge\"}, {\"method\": \"llm_judge\"}, {\"method\": \"llm_judge\"}, {\"method\(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | 2025-09-20 | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve the multiplication equation \\( 7653 \\times 9977 \\), we will break it down into simpler(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for the product of 7653 and 9977 using long multiplication:\n\n```\n 7653\n × (...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve $7653 \\times 9977$, we start by breaking down the larger number into easier-to-manage pa(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve the multiplication equation \\( 7653 \\times 9977 \\), we will break it down into simpler(...TRUNCATED) | [
false,
false,
false
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"76354491",
"75400081",
"76354491"
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[
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[
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[
"76354491",
"76354491"
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] | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1428, \"span_text\": \"7423(...TRUNCATED) | "[[{\"evaluation_method\": \"legacy\", \"legacy_result\": false}, {\"evaluation_method\": \"legacy\"(...TRUNCATED) | {"flips_by":[0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_count(...TRUNCATED) |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | letter_countdown_4o | letter_countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"letters\": \"imdpllnd\", \"source\": \"mind\", \"length\": 8, \"task_config\": \"letter_countdow(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | 8 | imdpllnd | {} | null | null | mind | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to follow these steps:\n\n1. **Identify Possible(...TRUNCATED) | [
false
] | [
""
] | "{\"api_url\": \"http://127.0.0.1:57055/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
false
] | [
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