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sene
seen
[ "ense", "esne", "nese", "seen", "snee" ]
4
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
83
letter_countdown
[ "To solve this problem, we need to find a combination of the given letters that can form a valid English word. Here’s how we can approach it:\n\n1. **Identify Unique Letters**: First, let's count the occurrences of each letter in the input list.\n - s: 2 times\n - e: 3 times\n - n: 1 time\n\n2. **Combine Lett...
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{ "api_url": "http://127.0.0.1:33911", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 3, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "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\nGiven a list of letters, rearrange the letters to create a valid english word.\n\nFor examples: if the input letters are: ['f','t','s','r','e','a']; the word is: <answer> faster </answer> \n\nSolve for the following:\nINPUT: ['s', 'e', 'n', 'e']\n\nOnly use the letters in the input to create a word. Do not use additional letters.\n\n\nLet's think step by step.", "role": "user" } ] }
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[ true, false, false, false, false, true, false, false, false, false ]
[ "see", "sense", "sentence", "sentence", "enSense", "seen", "sentence", "even", "sense", "sentence" ]
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[ [ true ], [ false, false ], [ false ], [ false ], [ false, false ], [ true ], [ false ], [ false ], [ false ], [ false ] ]
[ [ "see" ], [ "sense", "sense" ], [ "sentence" ], [ "sentence" ], [ "sense", "enSense" ], [ "seen" ], [ "sentence" ], [ "even" ], [ "sense" ], [ "sentence" ] ]
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[ [ { "details": "{'letters': 'sene', 'length': 3}", "errors": [], "final_answer": "see", "is_correct": true, "target_matches": null } ], [ { "details": "{'letters': 'sene', 'length': 5}", "errors": [ "cannot_be_formed_from_letters" ], "fin...
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eags
ages
[ "ages", "gaes", "sage" ]
4
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
53
letter_countdown
[ "To solve this problem, we need to find a valid English word that can be formed using only the given letters. Let's analyze each letter and see which combinations could form a meaningful word:\n\n1. **'e':** This letter stands alone but doesn't make sense on its own.\n2. **'a':** Similar to 'e'.\n3. **'g':** Possib...
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{ "api_url": "http://127.0.0.1:33911", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 3, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "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\nGiven a list of letters, rearrange the letters to create a valid english word.\n\nFor examples: if the input letters are: ['f','t','s','r','e','a']; the word is: <answer> faster </answer> \n\nSolve for the following:\nINPUT: ['e', 'a', 'g', 's']\n\nOnly use the letters in the input to create a word. Do not use additional letters.\n\n\nLet's think step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 10 }
[ false, false, true, false, false, true, false, true, true, false ]
[ "games", "eggs", "ages", "No valid word can be formed", "No valid word found", "gas", "egg", "gas", "gas", "eat" ]
[ { "extraction_type": "final", "non_overlapping_spans": 1, "original_span": "games", "span_end": 792, "span_start": 785, "total_spans_found": 1 }, { "extraction_type": "final", "non_overlapping_spans": 1, "original_span": "eggs", "span_end": 800, "span_start": 794, ...
[ { "details": "{'letters': 'eags', 'length': 5}", "errors": [ "cannot_be_formed_from_letters" ], "evaluation_method": null, "extraction_result": null, "final_answer": "games", "is_correct": false, "reason": null, "target_matches": null }, { "details": "{'letters': 'e...
[ [ false ], [ false ], [ true ], [ false ], [ false ], [ true ], [ false ], [ true ], [ true ], [ false ] ]
[ [ "games" ], [ "eggs" ], [ "ages" ], [ "No valid word can be formed" ], [ "No valid word found" ], [ "gas" ], [ "egg" ], [ "gas" ], [ "gas" ], [ "eat" ] ]
[ [ { "confidence": 1, "extraction_type": "internal", "original_span": "games", "pattern_used": "answer tag", "position": 785, "span_end": 792, "span_start": 785, "span_text": "games" } ], [ { "confidence": 1, "extraction_type": "internal", ...
[ [ { "details": "{'letters': 'eags', 'length': 5}", "errors": [ "cannot_be_formed_from_letters" ], "final_answer": "games", "is_correct": false, "target_matches": null } ], [ { "details": "{'letters': 'eags', 'length': 4}", "errors": [ "...
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 4, "pass_at_n": 1, "percent_correct": 0.4, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "reflect_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "reflect_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "reflection_sbon": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "sample_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_close": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] }, "total_responses": 10 }
tlae
tale
[ "atle", "laet", "late", "leat", "tael", "tale", "teal", "tela" ]
4
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
70
letter_countdown
[ "To solve this problem, we need to arrange the given letters to form a valid English word using only those letters. Here’s how we can approach it:\n\n1. **Identify Unique Letters**: First, let's identify all unique letters from the given list.\n - The unique letters are: `['t', 'l', 'a', 'e']`\n\n2. **Check Valid...
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{ "api_url": "http://127.0.0.1:33911", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 3, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "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\nGiven a list of letters, rearrange the letters to create a valid english word.\n\nFor examples: if the input letters are: ['f','t','s','r','e','a']; the word is: <answer> faster </answer> \n\nSolve for the following:\nINPUT: ['t', 'l', 'a', 'e']\n\nOnly use the letters in the input to create a word. Do not use additional letters.\n\n\nLet's think step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 10 }
[ false, false, false, true, false, false, false, false, false, false ]
[ "table", "None", null, "eat", "talk", "leaf", "Cannot determine", "talae", "No such word exists.", "ball" ]
[ { "extraction_type": "final", "non_overlapping_spans": 1, "original_span": "table", "span_end": 1155, "span_start": 1148, "total_spans_found": 1 }, { "extraction_type": "final", "non_overlapping_spans": 1, "original_span": "None", "span_end": 2596, "span_start": 2590,...
[ { "details": "{'letters': 'tlae', 'length': 5}", "errors": [ "cannot_be_formed_from_letters" ], "evaluation_method": null, "extraction_result": null, "final_answer": "table", "is_correct": false, "reason": null, "target_matches": null }, { "details": "{'letters': 't...
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[ [ "table" ], [ "None" ], [], [ "eat" ], [ "talk" ], [ "leaf" ], [ "Cannot determine" ], [ "talae" ], [ "No such word exists." ], [ "ball" ] ]
[ [ { "confidence": 1, "extraction_type": "internal", "original_span": "table", "pattern_used": "answer tag", "position": 1148, "span_end": 1155, "span_start": 1148, "span_text": "table" } ], [ { "confidence": 1, "extraction_type": "internal"...
[ [ { "details": "{'letters': 'tlae', 'length': 5}", "errors": [ "cannot_be_formed_from_letters" ], "final_answer": "table", "is_correct": false, "target_matches": null } ], [ { "details": "{'letters': 'tlae', 'length': 4}", "errors": [ "...
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aeck
cake
[ "cake" ]
4
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
45
letter_countdown
[ "To solve this problem, we need to arrange the given letters ('a', 'e', 'c', 'k') into a meaningful English word. Let's break it down step by step:\n\n1. **Identify Possible Words**: We start by considering all possible combinations of these four letters.\n2. **Check Validity**: For each combination, check if it fo...
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{ "api_url": "http://127.0.0.1:33911", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 3, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "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\nGiven a list of letters, rearrange the letters to create a valid english word.\n\nFor examples: if the input letters are: ['f','t','s','r','e','a']; the word is: <answer> faster </answer> \n\nSolve for the following:\nINPUT: ['a', 'e', 'c', 'k']\n\nOnly use the letters in the input to create a word. Do not use additional letters.\n\n\nLet's think step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 10 }
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[ "ackee", "act", "accent", "No word can be formed", "No valid English word can be formed", null, "No valid English word", "No valid English word can be formed using the given letters.", "acek", "acre" ]
[ { "extraction_type": "final", "non_overlapping_spans": 1, "original_span": "ackee", "span_end": 1469, "span_start": 1462, "total_spans_found": 1 }, { "extraction_type": "final", "non_overlapping_spans": 1, "original_span": "act", "span_end": 1424, "span_start": 1419, ...
[ { "details": "{'letters': 'aeck', 'length': 5}", "errors": [ "cannot_be_formed_from_letters" ], "evaluation_method": null, "extraction_result": null, "final_answer": "ackee", "is_correct": false, "reason": null, "target_matches": null }, { "details": "{'letters': 'a...
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[ [ { "details": "{'letters': 'aeck', 'length': 5}", "errors": [ "cannot_be_formed_from_letters" ], "final_answer": "ackee", "is_correct": false, "target_matches": null } ], [ { "details": "{'letters': 'aeck', 'length': 3}", "errors": [ "...
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dfoo
food
[ "food" ]
4
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
44
letter_countdown
[ "To solve this problem, we need to find a valid English word that can be constructed using only the letters provided in the input list. Here’s how we can approach it:\n\n1. **List the Input Letters**: The given input list contains the letters: `['d', 'f', 'o', 'o']`.\n\n2. **Check for Valid Words**:\n - We need t...
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{ "api_url": "http://127.0.0.1:33911", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 3, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "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\nGiven a list of letters, rearrange the letters to create a valid english word.\n\nFor examples: if the input letters are: ['f','t','s','r','e','a']; the word is: <answer> faster </answer> \n\nSolve for the following:\nINPUT: ['d', 'f', 'o', 'o']\n\nOnly use the letters in the input to create a word. Do not use additional letters.\n\n\nLet's think step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 10 }
[ false, false, false, true, true, true, false, false, false, true ]
[ "footfall", "No valid word", "dog", "food", "food", "food", "dog or food", "book", "football", "food" ]
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[ { "details": "{'letters': 'dfoo', 'length': 8}", "errors": [ "cannot_be_formed_from_letters" ], "evaluation_method": null, "extraction_result": null, "final_answer": "footfall", "is_correct": false, "reason": null, "target_matches": null }, { "details": "{'letters':...
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ilve
evil
[ "evil", "levi", "live", "veil", "vile", "vlei" ]
4
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39
letter_countdown
[ "To solve this problem, we need to identify all possible English words that can be formed using the given letters and check which one fits the criteria provided.\n\nStep-by-step reasoning:\n\n1. **Identify All Possible Words**:\n - We start by listing all combinations of the given letters.\n - The letters avail...
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[ "evil", "live", "live", "evil", "love", "ilove", "evening", "evil", "live", "No valid English word" ]
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[ [ "evil" ], [ "live" ], [ "live" ], [ "evil" ], [ "love" ], [ "ilove", "ilove" ], [ "evening" ], [ "evil" ], [ "live" ], [ "No valid English word" ] ]
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myra
mary
[ "army", "mary", "myra", "yarm" ]
4
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22
letter_countdown
[ "To solve this problem, we need to find a valid English word that can be formed using only the given letters: 'm', 'y', 'r', and 'a'. Let's break down the process:\n\n1. **Identify Possible Words**: First, let's consider common words that might fit these letters. The most straightforward approach would be to check ...
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odsg
gods
[ "dogs", "gods" ]
4
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80
letter_countdown
[ "To solve this problem, we need to arrange the given letters to form a valid English word. Let's break down the steps:\n\n1. **Identify the Letters**: The input consists of the letters: `['o', 'd', 's', 'g']`.\n\n2. **Consider Possible Words**: We need to find a combination of these letters that forms a meaningful ...
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[ "dog", "dog", "glass", "No valid English word was found.", "dogs", "goods", "No valid word", "godsd", "None", "No valid word found." ]
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ewll
well
[ "llew", "well" ]
4
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10
letter_countdown
[ "To solve this problem, we need to find a combination of the given letters that forms a valid English word. Here's how we can approach it:\n\n1. **Identify Available Letters**: The available letters are `['e', 'w', 'l', 'l']`.\n2. **Check Word Validity**: We will try different combinations and check if they form a ...
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[ "ele", null, "well", "welldone", "well", "level", "elwin", "No valid English word", "well", "level" ]
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egta
gate
[ "aget", "gaet", "gate", "geat", "geta", "tega" ]
4
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
0
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. **Identify Unique Letters**: First, we identify all unique letters from the given list.\n2. **Create Word**: Using only those unique letters, try to form a valid English word.\n\nGiven the input letters: ['e', 'g', 't', 'a']\n- The unique letters are {'e'...
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[ true, true, false, true, false, true, false, false, false, false ]
[ "gate", "gate", null, "get", "target", "eat", null, "egg", null, "great" ]
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wohle
whole
[ "howel", "whole" ]
5
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
179
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. **Identify the available letters**: The given input contains the letters `['w', 'o', 'h', 'l', 'e']`.\n\n2. **Determine possible words**: We need to find a sequence of these letters that forms a valid English word. Let's try to construct a word using thes...
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[ true, false, false, false, false, true, false, true, false, false ]
[ "whole", "well", null, "Hello", "whole wheel", "who", "hello", "whole", "wholeskinned", "world" ]
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[ [ "whole" ], [ "well", "well" ], [], [ "Hello" ], [ "whole wheel" ], [ "who" ], [ "hello" ], [ "whole" ], [ "wholeskinned" ], [ "world" ] ]
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chear
reach
[ "acher", "arche", "chare", "chera", "echar", "rache", "reach" ]
5
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
137
letter_countdown
[ "To solve this problem, we need to find a valid English word that can be formed using only the given letters: 'c', 'h', 'e', 'a', and 'r'. We will try different combinations to see which one forms a meaningful word.\n\n1. **Check individual letter combinations**:\n - \"ca\": This doesn't form a complete word.\n ...
[ false, false, false, false, false, false, false, false, false, false ]
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[ false, true, true, false, true, false, false, true, true, false ]
[ "character", "care", "car", "character", "care", "cherish", "cat", "car", "care", null ]
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[ [ false ], [ true ], [ true, true ], [ false ], [ true ], [ false ], [ false ], [ true ], [ true ], [] ]
[ [ "character" ], [ "care" ], [ "car", "car" ], [ "character" ], [ "care" ], [ "cherish" ], [ "cat" ], [ "car" ], [ "care" ], [] ]
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ahevy
heavy
[ "heavy" ]
5
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
165
letter_countdown
[ "To solve this problem, we need to identify words that can be formed using only the given letters and arrange them into a meaningful English word. Let's analyze each letter:\n\n1. **'a':** This could form words starting with 'a'.\n2. **'h':** This could form words starting with 'h'.\n3. **'e':** This could form wor...
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[ false, false, false, false, false, false, false, true, true, false ]
[ "cannot be made", "area", "alive", "hat", "way", "day", "vehicle", "hay", "hey", "evye" ]
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[ [ "cannot be made" ], [ "area" ], [ "alive" ], [ "hat" ], [ "way" ], [ "day" ], [ "vehicle" ], [ "hay" ], [ "hey" ], [ "evye" ] ]
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eevyr
every
[ "every", "veery", "verey" ]
5
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
154
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. **Identify Unique Letters**: First, identify all unique letters in the given list.\n2. **Form Words**: Use those unique letters to form words that are common English words.\n3. **Check Validity**: Ensure each formed word can be a real English word and che...
[ false, false, false, false, false, false, false, false, false, false ]
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[ true, false, false, true, false, true, false, true, false, true ]
[ "very", "eye or year", "eyery", "ever", "No valid English word", "eyre", "Cannot form a valid English word", "very", "evy", "very" ]
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[ [ "very" ], [ "eye or year" ], [ "eyery" ], [ "ever" ], [ "No valid English word" ], [ "eyre" ], [ "Cannot form a valid English word" ], [ "very" ], [ "evy" ], [ "very" ] ]
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hftro
forth
[ "forth", "froth" ]
5
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
115
letter_countdown
[ "To solve this problem, we need to rearrange the given letters ('h', 'f', 't', 'r', 'o') into a valid English word. We can do this by trying different combinations and checking if they form a real word.\n\n1. **Try forming words using each letter individually**:\n - \"h\": Not a complete word.\n - \"f\": Not a ...
[ false, false, false, false, false, false, false, false, false, false ]
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[ false, false, false, false, false, true, false, true, false, true ]
[ "horizon", "hot or for", "forty", "hour", "hotfork", "fort", "fortynine", "hot", "hour", "fr" ]
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[ [ false ], [ false ], [ false ], [ false ], [ false ], [ true, true ], [ false ], [ true ], [ false, false ], [ true ] ]
[ [ "horizon" ], [ "hot or for" ], [ "forty" ], [ "hour" ], [ "hotfork" ], [ "fort", "fort" ], [ "fortynine" ], [ "hot" ], [ "hour", "hour" ], [ "fr" ] ]
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uocfs
focus
[ "focus" ]
5
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
120
letter_countdown
[ "To solve this problem, we need to find a valid English word that can be formed using only the given letters: 'u', 'o', 'c', 'f', and 's'. Let's go through each letter one by one:\n\n1. **'u':** The letter 'u' does not appear in any of the other letters.\n2. **'o':** The letter 'o' appears in the input list.\n3. **...
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[ "No valid English word", null, "fits", "suuf", "No valid word", "success", "No valid English word can be formed using the letters 'u', 'o', 'c', 'f', and 's'.", "craft", "USCOFS", "faces" ]
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khcec
check
[ "check" ]
5
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
199
letter_countdown
[ "To solve this problem, we need to arrange the given letters ('k', 'h', 'c', 'e', 'c') into a valid English word using only these letters. Here’s how we can approach it:\n\n1. **Identify the unique letters**: We have five distinct letters: k, h, c, e, and c.\n2. **Check for common words**: Look at some common Engli...
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[ "chocolate", "cheddar", null, "cheeky", "center", "cheek", "check or cycle", "heckle", "vacuum or value", "chec" ]
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[ [ false, false ], [ false ], [], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ] ]
[ [ "cheese", "chocolate" ], [ "cheddar" ], [], [ "cheeky" ], [ "center" ], [ "cheek" ], [ "check or cycle" ], [ "heckle" ], [ "vacuum or value" ], [ "chec" ] ]
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[ [ { "details": "{'letters': 'khcec', 'length': 6}", "errors": [ "cannot_be_formed_from_letters" ], "final_answer": "cheese", "is_correct": false, "target_matches": null }, { "details": "{'letters': 'khcec', 'length': 9}", "errors": [ "canno...
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ocras
oscar
[ "arcos", "crosa", "orcas", "oscar", "sacro" ]
5
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
125
letter_countdown
[ "To solve this problem, we need to identify which letters can be used and form a meaningful English word using those letters. Let's break it down:\n\n1. **Identify Available Letters**: The given letters are `['o', 'c', 'r', 'a', 's']`.\n2. **Form Possible Words**: We will try different combinations of these letters...
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[ true, true, false, false, true, true, false, false, false, true ]
[ "cars", "orc", "ocasary", "codes", "oscar", "oscar", "oscars", "orange", "course", "Car" ]
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[ [ true ], [ true ], [ false ], [ false ], [ true ], [ true ], [ false ], [ false ], [ false ], [ true ] ]
[ [ "cars" ], [ "orc" ], [ "ocasary" ], [ "codes" ], [ "oscar" ], [ "oscar" ], [ "oscars" ], [ "orange" ], [ "course" ], [ "Car" ] ]
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kmare
maker
[ "maker", "marek", "merak" ]
5
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
156
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. **Identify Unique Letters**: First, identify all unique letters present in the given list.\n2. **Rearrange Letters**: Try different combinations of these unique letters to form words.\n3. **Check Validity**: Ensure that the formed word is a valid English ...
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[ "karme", "None", "maker", "maker", "armorer", "No valid English word", "keram", "Karma", "marke", "karma or karmer" ]
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[ [ "karme" ], [ "None" ], [ "maker" ], [ "maker" ], [ "armorer" ], [ "No valid English word" ], [ "keram" ], [ "Karma" ], [ "marke", "marke" ], [ "karma or karmer" ] ]
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uttrh
truth
[ "thurt", "truth" ]
5
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
117
letter_countdown
[ "To solve this problem, we need to find a valid English word that can be formed using only the given letters ['u', 't', 't', 'r', 'h']. Let's break it down:\n\n1. **Identify unique characters**: The input contains duplicate characters ('t' and 'u'), so we should consider forming words from these distinct sets.\n2. ...
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[ "heart", "tree", "hurt", "art", null, "thirty", "thruth", "thus", "No valid English word can be formed using the given letters.", "No valid English word can be formed using all the letters 'u', 't', 't', 'r', 'h' alone." ]
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eesrrf
refers
[ "freers", "freres", "refers" ]
6
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
248
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. **Identify Unique Letters**: First, identify all unique letters present in the given list.\n2. **Count Occurrences**: Count how many times each letter appears in the list.\n3. **Construct Word**: Use the counts of each letter to construct a word that uses...
[ false, false, false, false, false, false, false, false, false, false ]
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[ "reesfur", null, "for", "serene or fer", null, "freer", "feerer", "ferers", "\"seres\"", "seres rerese" ]
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[ [ "reesfur" ], [], [ "for" ], [ "serene or fer" ], [], [ "freer" ], [ "feerer" ], [ "ferers" ], [ "\"seres\"" ], [ "seres rerese" ] ]
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cltine
client
[ "client", "lentic" ]
6
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
228
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. **Identify all unique letters** from the given list.\n2. **Sort the unique letters** alphabetically.\n3. **Rearrange the sorted letters** into words that form a valid English word.\n\n### Step-by-Step Reasoning\n\n#### Step 1: Identify Unique Letters\nThe...
[ false, false, false, false, false, false, false, false, false, false ]
[ "", "", "", "", "", "", "", "", "", "" ]
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[ false, false, true, true, false, false, false, false, true, false ]
[ "centil", "clinical", "clint", "clint", "telephone", "clinten", "list", "cleat", "line", "silent" ]
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[ [ false ], [ false ], [ true ], [ true ], [ false, false ], [ false ], [ false, false ], [ false ], [ true ], [ false ] ]
[ [ "centil" ], [ "clinical" ], [ "clint" ], [ "clint" ], [ "telephone", "telephone" ], [ "clinten" ], [ "list", "list" ], [ "cleat" ], [ "line" ], [ "silent" ] ]
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ngirif
firing
[ "firing" ]
6
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
285
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. Identify all unique letters from the given input.\n2. Try different combinations of these letters to see if they can form a meaningful English word.\n\nThe input letters provided are: `['n', 'g', 'i', 'r', 'i', 'f']`.\n\n### Step-by-Step Reasoning\n\n1. *...
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[ "", "", "", "", "", "", "", "", "", "" ]
{ "api_url": "http://127.0.0.1:33911", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 3, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "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\nGiven a list of letters, rearrange the letters to create a valid english word.\n\nFor examples: if the input letters are: ['f','t','s','r','e','a']; the word is: <answer> faster </answer> \n\nSolve for the following:\nINPUT: ['n', 'g', 'i', 'r', 'i', 'f']\n\nOnly use the letters in the input to create a word. Do not use additional letters.\n\n\nLet's think step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 10 }
[ false, true, false, false, false, false, false, true, false, false ]
[ null, "\"ing\"", "firig", "No valid word can be created.", "fire", "finger", "finger", "ring", null, "No valid English word" ]
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[ [], [ true ], [ false ], [ false ], [ false ], [ false ], [ false ], [ true ], [], [ false ] ]
[ [], [ "\"ing\"" ], [ "firig" ], [ "No valid word can be created." ], [ "fire" ], [ "finger" ], [ "finger" ], [ "ring" ], [], [ "No valid English word" ] ]
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[ [], [ { "details": "{'letters': 'ngirif', 'length': 3}", "errors": [], "final_answer": "ing", "is_correct": true, "target_matches": null } ], [ { "details": "{'letters': 'ngirif', 'length': 5}", "errors": [ "not_a_valid_word" ], "final_...
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rnkboe
broken
[ "broken" ]
6
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
283
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. Identify all unique letters from the given input.\n2. Create a word using only those unique letters and any additional letters available (if necessary).\n\nThe given input letters are: ['r', 'n', 'k', 'b', 'o', 'e'].\n\nStep-by-step reasoning:\n1. Identif...
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{ "api_url": "http://127.0.0.1:33911", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 3, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "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\nGiven a list of letters, rearrange the letters to create a valid english word.\n\nFor examples: if the input letters are: ['f','t','s','r','e','a']; the word is: <answer> faster </answer> \n\nSolve for the following:\nINPUT: ['r', 'n', 'k', 'b', 'o', 'e']\n\nOnly use the letters in the input to create a word. Do not use additional letters.\n\n\nLet's think step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 10 }
[ false, false, true, false, false, false, true, false, false, false ]
[ "robin", "book", "knob", "brown", "run", "knowledge", "bone", "rebok", "notebook", "reborn" ]
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[ { "details": "{'letters': 'rnkboe', 'length': 5}", "errors": [ "cannot_be_formed_from_letters" ], "evaluation_method": null, "extraction_result": null, "final_answer": "robin", "is_correct": false, "reason": null, "target_matches": null }, { "details": "{'letters': ...
[ [ false ], [ false ], [ true ], [ false ], [ false ], [ false, false ], [ true ], [ false ], [ false ], [ false, false ] ]
[ [ "robin" ], [ "book" ], [ "knob" ], [ "brown" ], [ "run" ], [ "knowledge", "knowledge" ], [ "bone" ], [ "rebok" ], [ "notebook" ], [ "reborn", "reborn" ] ]
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[ [ { "details": "{'letters': 'rnkboe', 'length': 5}", "errors": [ "cannot_be_formed_from_letters" ], "final_answer": "robin", "is_correct": false, "target_matches": null } ], [ { "details": "{'letters': 'rnkboe', 'length': 4}", "errors": [ ...
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hrreta
rather
[ "rather" ]
6
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
214
letter_countdown
[ "To solve this problem, we need to find a way to rearrange the given letters into a meaningful English word using only those letters provided. Let's break it down step by step:\n\n1. **Identify Unique Letters**: First, let's count how many times each letter appears in the input.\n - h: 2\n - r: 3\n - e: 2\n ...
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[ "", "", "", "", "", "", "", "", "", "" ]
{ "api_url": "http://127.0.0.1:33911", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 3, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "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\nGiven a list of letters, rearrange the letters to create a valid english word.\n\nFor examples: if the input letters are: ['f','t','s','r','e','a']; the word is: <answer> faster </answer> \n\nSolve for the following:\nINPUT: ['h', 'r', 'r', 'e', 't', 'a']\n\nOnly use the letters in the input to create a word. Do not use additional letters.\n\n\nLet's think step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 10 }
[ false, true, false, true, false, false, true, false, true, false ]
[ "harder", "heart", "tree", "heart", "here", "\"heater\" and \"heated\"", "heart", "retrive", "heart", "heret" ]
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[ { "details": "{'letters': 'hrreta', 'length': 6}", "errors": [ "cannot_be_formed_from_letters" ], "evaluation_method": null, "extraction_result": null, "final_answer": "harder", "is_correct": false, "reason": null, "target_matches": null }, { "details": "{'letters':...
[ [ false ], [ true ], [ false ], [ true ], [ false ], [ false ], [ true ], [ false ], [ true ], [ false ] ]
[ [ "harder" ], [ "heart" ], [ "tree" ], [ "heart" ], [ "here" ], [ "\"heater\" and \"heated\"" ], [ "heart" ], [ "retrive" ], [ "heart" ], [ "heret" ] ]
[ [ { "confidence": 1, "extraction_type": "internal", "original_span": "harder", "pattern_used": "answer tag", "position": 676, "span_end": 684, "span_start": 676, "span_text": "harder" } ], [ { "confidence": 1, "extraction_type": "internal",...
[ [ { "details": "{'letters': 'hrreta', 'length': 6}", "errors": [ "cannot_be_formed_from_letters" ], "final_answer": "harder", "is_correct": false, "target_matches": null } ], [ { "details": "{'letters': 'hrreta', 'length': 5}", "errors": [], ...
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ioenct
notice
[ "conite", "eciton", "noetic", "notice", "octine" ]
6
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
209
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. **Identify the unique characters**: First, let's count how many times each letter appears in the given list.\n2. **Formulate possible words**: Using the counts from step 1, try to form as many different words as possible using all the available letters.\n...
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[ "", "", "", "", "", "", "", "", "", "" ]
{ "api_url": "http://127.0.0.1:33911", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 3, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "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\nGiven a list of letters, rearrange the letters to create a valid english word.\n\nFor examples: if the input letters are: ['f','t','s','r','e','a']; the word is: <answer> faster </answer> \n\nSolve for the following:\nINPUT: ['i', 'o', 'e', 'n', 'c', 't']\n\nOnly use the letters in the input to create a word. Do not use additional letters.\n\n\nLet's think step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 10 }
[ false, false, false, false, false, false, true, false, false, true ]
[ "coinet", "icote", "city", "tecnico", "None of the above", "centre", "icon", "city", null, "Cone" ]
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[ { "details": "{'letters': 'ioenct', 'length': 6}", "errors": [ "not_a_valid_word" ], "evaluation_method": null, "extraction_result": null, "final_answer": "coinet", "is_correct": false, "reason": null, "target_matches": null }, { "details": "{'letters': 'ioenct', 'l...
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[ [ "coinet" ], [ "icote" ], [ "city" ], [ "tecnico" ], [ "None of the above" ], [ "centre" ], [ "icon" ], [ "city" ], [], [ "Cone" ] ]
[ [ { "confidence": 1, "extraction_type": "internal", "original_span": "coinet", "pattern_used": "answer tag", "position": 1950, "span_end": 1958, "span_start": 1950, "span_text": "coinet" } ], [ { "confidence": 1, "extraction_type": "interna...
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rngdoa
dragon
[ "dragon", "gardon", "grando" ]
6
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
242
letter_countdown
[ "To solve this problem, we need to find a valid English word that can be formed using only the given letters. Let's analyze the input:\n\nInput letters: ['r', 'n', 'g', 'd', 'o', 'a']\n\nStep 1: Identify common words containing all these letters.\n- \"road\" uses 'r', 'o', 'd'\n- \"grand\" uses 'g', 'n', 'r', 'd'\n...
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[ true, true, false, true, true, false, true, true, false, true ]
[ "road", "god", "orange", "dragon", "road", "radar", "road", "road", "random", "road" ]
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[ [ "road", "road" ], [ "god" ], [ "orange" ], [ "dragon" ], [ "road", "road" ], [ "radar" ], [ "road" ], [ "road" ], [ "random" ], [ "road" ] ]
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ogaern
orange
[ "onager", "orange" ]
6
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
221
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. Identify all possible combinations of the given letters.\n2. Check each combination to see if it forms a valid English word.\n3. Return the first valid word found or \"None\" if no valid word exists.\n\nNow let's start checking the combinations:\n\n- 'oga...
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[ null, "None", "go", "gone", "agene", "organize", "go", "no, one, enough", "organize", null ]
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[ [], [ "None" ], [ "go" ], [ "gone" ], [ "agene" ], [ "organize", "organize" ], [ "go" ], [ "no, one, enough" ], [ "organize" ], [] ]
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prpoer
proper
[ "proper" ]
6
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
275
letter_countdown
[ "To solve this problem, we need to follow these steps:\n\n1. Identify all possible words that can be formed using the given letters.\n2. Check each possible word against a dictionary to see if it exists as a real English word.\n3. If no suitable word is found, return \"No word found\".\n\nNow let's analyze the give...
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{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 10 }
[ false, true, false, true, false, false, true, true, true, false ]
[ "peer", "per", "pear", "porer", "project", "purple", "per", "per", "por", "pear" ]
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[ [ { "confidence": 1, "extraction_type": "internal", "original_span": "peer", "pattern_used": "answer tag", "position": 1269, "span_end": 1275, "span_start": 1269, "span_text": "peer" } ], [ { "confidence": 1, "extraction_type": "internal", ...
[ [ { "details": "{'letters': 'prpoer', 'length': 4}", "errors": [ "cannot_be_formed_from_letters" ], "final_answer": "peer", "is_correct": false, "target_matches": null } ], [ { "details": "{'letters': 'prpoer', 'length': 3}", "errors": [], ...
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ehcisn
inches
[ "chines", "chinse", "inches", "niches" ]
6
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
293
letter_countdown
[ "To solve this problem, we need to find a sequence of letters from the given list that can form a valid English word. Let's break it down:\n\n1. **Identify possible words**: We'll start by looking at common English words and see which ones can be formed using only the letters provided.\n2. **Check combinations**: W...
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{ "api_url": "http://127.0.0.1:33911", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 3, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "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\nGiven a list of letters, rearrange the letters to create a valid english word.\n\nFor examples: if the input letters are: ['f','t','s','r','e','a']; the word is: <answer> faster </answer> \n\nSolve for the following:\nINPUT: ['e', 'h', 'c', 'i', 's', 'n']\n\nOnly use the letters in the input to create a word. Do not use additional letters.\n\n\nLet's think step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 10 }
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[ null, "sentence", "ench", "chins", null, "hens", "hen", "hes", "chasing", "en" ]
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