question stringclasses 300
values | answer stringclasses 1
value | task_config stringclasses 1
value | task_source stringclasses 1
value | prompt listlengths 2 2 | model_responses listlengths 0 0 | model_responses__eval_is_correct listlengths 0 0 | prompt_type stringclasses 7
values | letters stringclasses 300
values | source stringclasses 300
values | length int64 4 8 | model_responses__example_annotation listlengths 16 16 | model_responses__example_annotation__finish_reason_length_flags listlengths 16 16 | model_responses__example_annotation__length_partial_responses listlengths 16 16 | prompt__example_annotation__metadata dict | model_responses__example_annotation__metadata dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | hime | heim | 4 | [
"Let's start by looking at the given letters: ['h', 'i', 'm', 'e']. To form a valid English word using these letters, we need to consider all possible combinations.\n\nFirst attempt:\n- Let's see what words can be formed from the letters.\n - eihi -> eih\n - ihei -> hei\n - hiie -> hiei\n - ihie -> heii\n\nNone... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ajpybsf | jabs | 7 | [
"Let's approach this systematically.\n\n### Step 1: Analyze the Input\nThe given letters are: `['a', 'j', 'p', 'y', 'b', 's', 'f']`.\n\n### Step 2: Formulate Potential Words\nWe need to form words using these letters such that they meet the criteria of being at least 4 characters long and only using the provided le... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | dujyod | judo | 6 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify Letters Used\nFirst, let's list all the unique letters we have from our input:\n- d\n- u\n- j\n- y\n- o\n- d\n\n### Step 2: Analyze Word Length Requirements\nThe problem states that the word must be at least 4 characters long. Let's see how many letters we ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | bgilxr | brig | 6 | [
"Let's approach this systematically.\n\n### Step 1: Identify All Possible Words Using Given Letters\n\nFirst, we need to find all possible words using the given letters ['b', 'g', 'i', 'l', 'x', 'r']. We can do this by checking each combination of these letters to see if they form a valid English word.\n\n- **bi**:... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | aotd | dato | 4 | [
"Let's start by trying to form words using the given letters.\n\n### Step-by-Step Reasoning:\n\n1. **Identify possible combinations**: We have the letters `['a', 'o', 't', 'd']`. Let's see what words we can form from these letters.\n \n - `'ad'` is a two-letter combination.\n - `'at'` is another two-letter co... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | méyr | rémy | 4 | [
"Let's approach this step-by-step:\n\n### Step 1: Identify the Letters\nThe given letters are: `['m', 'é', 'y', 'r']`.\n\n### Step 2: Formulate Possible Words\nWe need to form words using these letters. Let's start by trying to form longer words.\n\n#### Attempt 1: Forming 'my'\n- We can't use 'é' because it's not ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | akis | kasi | 4 | [
"Let's start by trying to form a word using the given letters.\n\nThe available letters are: ['a', 'k', 'i', 's']\n\nOne possible word we can form is \"ais\". However, this doesn't meet our criteria because it's only 3 characters long.\n\nOops! Let me try forming a longer word instead.\n\nA good candidate would be ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ghuicqu | chiu | 7 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify all possible words using the given letters.\nWe have the letters: `['g', 'h', 'u', 'i', 'c', 'q', 'u']`.\n\nFirst, let's try to form a word from these letters:\n- We can start with 'g' followed by another letter.\n- Then we need two more letters to complete... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | omns | noms | 4 | [
"Let's start by trying to form words using the given letters.\n\n### Step 1: Try forming a four-letter word.\n- Possible combinations: `onms`, `omns`, `snm`, `smn`\n \nNone of these seem to form a meaningful word directly from the given letters.\n\n### Step 2: Consider combining two adjacent letters.\n- Possible c... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | edgeol | leed | 6 | [
"Let's approach this step-by-step:\n\n### Step 1: Identify possible words using the given letters\nWe have the letters ['e', 'd', 'g', 'e', 'o', 'l']. Let's start combining these letters into potential words.\n\n- eegog -> This looks promising because it uses all the letters.\n- ogeeo -> This also seems good since ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | dlaa | lada | 4 | [
"Let's start by trying to form words using the given letters ['d', 'l', 'a', 'a']. I'll attempt to arrange these letters into meaningful words.\n\nStep 1: Let's try forming a word starting with 'da'.\n- da + l = dall\n- dall is not a valid English word.\n- dall does not meet the minimum length requirement of 4 char... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | recü | crüe | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify Potential Words\nFirst, let's consider all possible words we can form using the given letters ('r', 'e', 'c', 'ü').\n\n- **Word**: reec - This doesn't seem to form a real word.\n- **Word**: recu - Again, no real word here.\n- **Word**: ecru - Still no luck.... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | adri | dari | 4 | [
"Let's approach this step-by-step:\n\n### Step 1: Identify the Letters\nThe given letters are: ['a', 'd', 'r', 'i']\n\n### Step 2: Consider Possible Words\nWe need to find words using these letters. Let's start by trying combinations:\n\n- \"air\": This uses three letters, which doesn't meet our requirement.\n- \"a... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | pgeg | pegg | 4 | [
"Let's approach this systematically.\n\n### Step 1: Identify Possible Words\n\nFirst, let's look at all possible words we can form using the given letters ['p', 'g', 'e', 'g'].\n\n- **pege**: This doesn't seem to form a meaningful word.\n- **pegg**: Also doesn't seem to form a meaningful word.\n- **pgeg**: This loo... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ctpre | cert | 5 | [
"Let's start by trying to form words using the given letters: ['c', 't', 'p', 'r', 'e'].\n\nStep 1: Let's see if we can form a word starting with 'c'. The possible words could be 'cat' or 'care'.\n\nStep 2: Now let's try forming a word starting with 'pt'. This gives us 'pet' which seems promising because it has mor... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | mstp | smtp | 4 | [
"Let's approach this systematically:\n\n### Step 1: Identify possible words using the given letters\n\nThe available letters are: m, s, t, p.\n\nWe need to form a word from these letters where each letter appears only once and the word has at least 4 characters long.\n\n- **Mississippi**: This uses all the letters ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | sivpwz | wisp | 6 | [
"Let's approach this step-by-step:\n\n1. **Identify the available letters**: We have the letters 's', 'i', 'v', 'p', 'w', 'z'.\n\n2. **Consider common English words**: \n - Words starting with 'sv' could be useful.\n - 'spiv' seems promising.\n\n3. **Check against given constraints**:\n - Word must be at leas... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | xoawhsta | shat | 8 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify Possible Words\n\nFirst, let's consider all possible words we can form using the given letters ['x', 'o', 'a', 'w', 'h', 's', 't', 'a']. We'll start small and build up.\n\n- **'oa':** Not enough letters.\n- **'ax':** Not enough letters.\n- **'wa':** Not eno... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | amwr | mawr | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Analyze the Input\n\nThe given input is: `['a', 'm', 'w', 'r']`\n\nThese letters can form words starting from any letter in the set. We need to find the longest possible word using these letters.\n\n### Step 2: Consider Possible Words\n\nWe will start forming words ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | tain | tani | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Analyze the Input\n\nThe input consists of the letters ['t', 'a', 'i', 'n'].\n\n### Step 2: Identify Possible Words\n\nUsing only these letters, we can form words such as:\n- tai\n- tin\n- tain\n\n### Step 3: Check Length Requirements\n\nWe need to ensure the word h... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | wfta | waft | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify the Letters\nThe given letters are: w, f, t, a\n\n### Step 2: Try to Form Words\n- We can start with 'w' because it's a vowel.\n- Next, we need another letter to form a longer word. Let's try 'f'.\n - Possible words: wf, wat, way\n- Next, let's try adding ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | itswrz | wits | 6 | [
"Let's start by trying to form words using the given letters.\n\n### Step 1: Analyze the Letters\n\nThe letters we have are: i, t, s, w, r, z.\n\n### Step 2: Try Forming Words\n\nWe need to find a combination of these letters that forms a valid English word. Let's see what combinations we can get:\n\n- **iw** - Thi... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | inna | inna | 4 | [
"Let's approach this step-by-step:\n\n### Step 1: List all possible words using the given letters.\nThe letters we have are: i, n, n, a\n\nPossible combinations:\n- innan\n- inna\n- inna\n\n### Step 2: Check each combination against the criteria:\n1. **Only use the letters in the input** - This meets the criteria.\... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | exal | lexa | 4 | [
"Let's approach this step-by-step:\n\n### Step 1: Identify the Letters\nThe given letters are: ['e', 'x', 'a', 'l']\n\n### Step 2: Create Potential Words\nWe need to form words using these letters. Let's start by trying different combinations.\n\n#### First Attempt:\n- Using all four letters: `exal` - This doesn't ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | vduai | diva | 5 | [
"Let's start by trying to form a word using all the given letters.\n\n### Step 1: Try forming words\n- Using 'v', 'd', 'u', 'a', 'i' together, we can form the word **viaduct**.\n \n### Step 2: Verify the length\nThe word **viaduct** has 7 characters, which meets the requirement of being at least 4 characters long.... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | tifl | flit | 4 | [
"Let's approach this systematically.\n\n### Step 1: Analyze the Input Letters\n\nThe given letters are: `['t', 'i', 'f', 'l']`\n\n### Step 2: Consider Possible Words\n\nWe need to form a valid English word using these letters. Let's brainstorm some possibilities:\n\n- **Thought:** We can start forming words from co... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ands | ands | 4 | [
"Let's approach this systematically.\n\n### Step 1: Identify Letters Available\n\nThe given letters are: ['a', 'n', 'd', 's']\n\nThese letters can be used to form words.\n\n### Step 2: Consider Possible Words\n\nWe need to find the longest possible word using these letters. Let’s start with longer combinations:\n\n... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | shinnsnd | inns | 8 | [
"Let's start by considering all possible words we can form using the given letters ['s', 'h', 'i', 'n', 'n', 's', 'n', 'd'].\n\nFirst attempt:\n- We cannot form any word longer than 5 characters since there are only 7 letters available.\n- Let's try combinations of these letters:\n - sssnnns -> \"snssns\"\n - sns... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ranbjaor | bron | 8 | [
"Let's start by considering all possible combinations of these letters.\n\n### Step-by-Step Reasoning\n\n1. **Combine the letters**: We have the letters ['r', 'a', 'n', 'b', 'j', 'a', 'o', 'r']. Let's see how many unique combinations we can form.\n - Possible words could include: 'ran', 'rab', 'rob', etc., given ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ibbim | bibi | 5 | [
"Let's approach this step-by-step:\n\n1. First, let's consider all possible combinations of the given letters.\n - We have six letters: i, b, b, i, m.\n\n2. We need to form words that are at least 4 characters long using these letters only.\n\n3. Let's start forming words from different positions and see what we ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | fsmgo | omfg | 5 | [
"Let's start by trying to form a valid English word using only the given letters ['f', 's', 'm', 'g', 'o'].\n\nThe first letter we see is 'f'. It could potentially stand for any number of words starting with 'f' because there isn't enough information yet about what other letters might follow.\n\nNext, let's conside... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | sese | esse | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify Possible Words\n\nThe given letters are: ['s', 'e', 's', 'e']\n\nWe need to form words using these letters while satisfying the condition of having only unique letters from the input and ensuring the word is at least 4 characters long.\n\nPossible combinati... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | sats | tass | 4 | [
"Let's start by looking at the given input: ['s', 'a', 't', 's']. To form a valid English word using these letters, we need to consider all possible combinations.\n\nOne way to approach this is to randomly select letters until we find a combination that forms a meaningful word. Let's go ahead and try different comb... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | cncinuk | cuck | 7 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify all unique letters in the input.\nThe input is: ['c', 'n', 'c', 'i', 'n', 'u', 'k']\nUnique letters: {'c', 'n', 'i', 'u', 'k'}\n\n### Step 2: Create possible combinations using these unique letters.\nWe need to find combinations where each letter appears ex... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | sdoa | dosa | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify the available letters\nThe given letters are: s, d, o, a\n\n### Step 2: Try to form words using these letters\nWe need to find a valid English word that uses all these letters. Let's start forming words from the longest possible length downwards.\n\n#### At... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | mehkalk | lakh | 7 | [
"Let's approach this step-by-step:\n\n1. First, let's look at the given letters: ['m', 'e', 'h', 'k', 'a', 'l', 'k']\n - We need to form a word using all these letters.\n - The word must be at least 4 characters long.\n\n2. Let's start forming words:\n - m + e = meet\n - This doesn't work because we only ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | eclswew | lees | 7 | [
"Okay, let's start solving the problem.\n\n### Step 1: List the available letters\n\nThe given letters are: `['e', 'c', 'l', 's', 'w', 'e', 'w']`.\n\n### Step 2: Create potential words using these letters\n\nLet's try to form words from these letters. We'll start with longer combinations.\n\n### Step 3: Forming wor... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | yqssagdo | dass | 8 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify Possible Words\n\nFirst, let's consider all possible words we can form using the given letters ['y', 'q', 's', 's', 'a', 'g', 'd', 'o']. We need to ensure each letter appears at most once in any word.\n\n- y\n- q\n- s (two occurrences)\n- a\n- g\n- d\n- o\n... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | issm | isms | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Analyze the Input\nThe given letters are: ['i', 's', 's', 'm']\n\n### Step 2: Try to Form Words\n- Let's start by trying to form words using these letters.\n- One possible combination could be \"isms\". However, this doesn't meet our requirement of having at least 4... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | proalot | opal | 7 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify the given letters\nThe given letters are: `['p', 'r', 'o', 'a', 'l', 'o', 't']`.\n\n### Step 2: Formulate potential words using these letters\nWe need to form a valid English word using all these letters exactly once. Let's start forming words:\n\n- **Word:... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | rifvqye | iver | 7 | [
"Let's approach this step-by-step.\n\n### Step 1: Analyze the Input Letters\n\nThe given letters are: ['r', 'i', 'f', 'v', 'q', 'y', 'e']\n\nThese letters can potentially form words using combinations of these letters. We need to find the longest possible word from these letters while satisfying all the given condi... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | dninm | minn | 5 | [
"Let's start by trying to form a valid English word using the given letters ['d', 'n', 'i', 'n', 'm']. We need to ensure that we only use these letters and that the resulting word meets the criteria of being at least 4 characters long.\n\n### Step-by-Step Reasoning:\n\n1. **Identify possible combinations**: \n - ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | uhlhh | uhhh | 5 | [
"Let's approach this step-by-step:\n\n### Step 1: Analyze the Input\nThe given input letters are: `['u', 'h', 'l', 'h', 'h']`\n\n### Step 2: Identify Potential Words\nWe need to form words using these letters. Let's start by trying different combinations.\n\n### Step 3: Intentionally Make a Mistake\nLet's try to fo... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | udna | duan | 4 | [
"First, let's analyze the given letters: ['u', 'd', 'n', 'a']. We need to find a valid English word using these letters.\n\n### Step-by-Step Reasoning\n\n1. **Identify possible combinations**:\n - Since we have four letters, we can form words up to length 4.\n \n2. **Check each combination**:\n - Let's start ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | jnah | jahn | 4 | [
"Let's start by trying to form words using the given letters ['j', 'n', 'a', 'h']. We need to ensure that we only use these letters and form a valid English word.\n\nFirst attempt:\n- j - This doesn't seem to fit well with any other letters.\n- n - Again, no good combinations here.\n- a - Can be part of words like ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | vuxa | vaux | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: List all possible words using the given letters.\nWe have the letters: `['v', 'u', 'x', 'a']`.\n\nPossible combinations:\n- vaux\n- vaxu\n- uxav\n- axvu\n- avux\n\n### Step 2: Check each combination against the criteria.\n- **vaux**: This is a valid 4-letter word.\n... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | jkmzoto | moot | 7 | [
"Let's approach this step-by-step.\n\n### Step 1: Analyze the Input\nThe given letters are: `['j', 'k', 'm', 'z', 'o', 't', 'o']`.\n\n### Step 2: Forming Words\nWe need to form words using these letters where each letter can only be used once and we want to maximize the length of the word.\n\n### Step 3: Start Cons... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | sdoh | shod | 4 | [
"To solve this problem, let's start by considering all possible words we can form using the given letters ['s', 'd', 'o', 'h'].\n\nThe possible words could be:\n- shod\n- hods\n- hod\n\nNone of these words meet the requirement of being at least 4 characters long. Therefore, there is no valid English word that can b... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | lbol | boll | 4 | [
"Let's approach this step-by-step:\n\n### Step 1: List all possible words using the given letters.\nThe available letters are: ['l', 'b', 'o', 'l'].\n\nPossible combinations of these letters into words:\n- lool\n- loll\n\n### Step 2: Check each combination against the given conditions.\nCondition 1: Use only the le... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | txra | trax | 4 | [
"Okay, let's approach this systematically.\n\n### Step 1: Analyze the Input\nThe input given is ['t', 'x', 'r', 'a']. We need to find a valid English word using only these letters.\n\n### Step 2: Consider Possible Words\nWe can start by trying different combinations of these letters to see if they form a meaningful... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | wesjlukg | slew | 8 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify Possible Words\nFirst, we need to identify all possible words that can be formed using the given letters. We'll consider both two-letter and three-letter combinations since they must be at least four letters long according to the instructions.\n\n- From 'w'... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | vvoidd | ovid | 6 | [
"Let's start by considering the given letters: ['v', 'v', 'o', 'i', 'd', 'd'].\n\nStep 1: Analyze the frequency of each letter.\n- v appears twice\n- o appears once\n- i appears once\n- d appears twice\n\nStep 2: Try to form a word using these letters.\nA potential candidate could be \"vi'dd\". However, we need to ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | tlec | celt | 4 | [
"Let's approach this systematically.\n\n### Step 1: Analyze the Input\nThe given letters are: `['t', 'l', 'e', 'c']`.\n\n### Step 2: Create Possible Words Using the Letters\nWe need to form words using these letters where each letter appears exactly once. Let's start by trying combinations:\n\n- `tele`: This uses a... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | nhgabi | nabi | 6 | [
"Let's approach this systematically:\n\n### Step 1: Identify Possible Words\nFirst, let's consider all possible combinations of the given letters:\n- nhgaib\n- nhabgi\n- nibgha\n- ngabhia\n- ngabhi\n\nWe need to find the longest word that can be formed using only these letters.\n\n### Step 2: Evaluate Each Combinat... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | aniugsuo | gino | 8 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify the unique letters\nThe given set of letters is: ['a', 'n', 'i', 'u', 'g', 's', 'u', 'o']\n\nUnique letters: {'a', 'n', 'i', 'u', 'g', 's', 'o'}\n\n### Step 2: Consider possible combinations\nWe need to form a word using these letters where each letter appe... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | bvdalnj | vlad | 7 | [
"Let's start by trying to form the longest possible word using the given letters. I will first consider all combinations of four-letter words.\n\nThe combination 'bal' seems promising because it uses only the available letters. Let's check if there are any other longer combinations we can form.\n \nHowever, upon cl... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | narerrls | sena | 8 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify the Letters\nThe given set of letters is: `['n', 'a', 'r', 'e', 'r', 'r', 'l', 's']`.\n\n### Step 2: Consider Possible Words\nWe need to form a valid English word using these letters. Let's start forming words from the longer ones towards shorter ones.\n\n#... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | irrzswtc | tris | 8 | [
"Let's approach this systematically.\n\n### Step 1: Identify the unique letters in the input.\nThe unique letters we have are: i, r, z, s, w, t, c\n\n### Step 2: Try to form words using these letters.\n- \"cirrus\": This uses all the letters except \"t\".\n- \"crisis\": This also uses all the letters except \"t\".\... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | azhn | zhan | 4 | [
"To solve this problem, let's start by trying to form the longest possible word using the given letters.\n\nStep 1: Identify all possible words that can be formed.\nThe available letters are: 'a', 'z', 'h', 'n'.\n\nPossible words we can form are:\n- \"anz\"\n- \"anh\"\n- \"ahn\"\n- \"ahz\"\n- \"anh\"\n- \"anh\"\n\n... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | noergzr | ergo | 7 | [
"Let's start by trying to form the longest possible word using the given letters.\n\n### Step 1: List all combinations\nWe have the letters: `['n', 'o', 'e', 'r', 'g', 'z', 'r']`\n\n### Step 2: Attempt to form words\n- `noer`: This is too short.\n- `one`: Too short.\n- `oner`: Still too short.\n- `onere`: Still too... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | evov | vevo | 4 | [
"### Step-by-Step Reasoning\n\n1. **Identify Letters**: We have the letters `['e', 'v', 'o', 'v']`.\n \n2. **Form Words**:\n - Let's start forming words using these letters.\n - Possible combinations could include: `evove`, `ovove`, etc.\n\n3. **Check Length Requirement**:\n - A minimum length of 4 characte... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | mpeeir | meir | 6 | [
"Let's start by trying to form the longest possible word using the given letters.\n\nThe available letters are: m, p, e, e, i, r\n\nOne way to approach this could be to try forming words from the most frequent letters first. However, we don't have enough information about which letter appears more frequently than o... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | tdacupbs | supt | 8 | [
"Let's approach this systematically.\n\n### Step 1: Identify possible words using the given letters.\nWe have the letters: t, d, a, c, u, p, b, s\n\n### Step 2: Generate all possible four-letter combinations from these letters.\nThe first letter can be any of the seven available. For each choice of the first letter... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ehdu | ehud | 4 | [
"Let's start by trying to form a word using the given letters.\n\nThe letters we have are: e, h, d, u\n\nOne possible word could be: \"duck\"\n\nHowever, let's check if there's a longer valid word that can be formed from these letters. Let's try another combination:\n\nThe letters we have are: e, h, d, u\n\nAnother... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | maie | amie | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify Possible Words\n\nFirst, let's look at all possible combinations using the given letters ['m', 'a', 'i', 'e'].\n\n- maie\n- mai\n- mae\n- amei\n- aime\n- aime\n- eima\n- emai\n- eame\n- aime\n- eam\n\n### Step 2: Check Length and Validity\n\nWe need a word ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ujnujci | juju | 7 | [
"Let's start by trying to form the longest possible word using the given letters.\n\n### Step-by-Step Reasoning\n\n1. **Initial Attempt**:\n - Start with 'u' from the first letter.\n - Next, add 'j'. Now we have 'uj'.\n - Add another 'j'. We now have 'ujj'.\n\n2. **Intentional Mistake**:\n - Let's make a mi... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ovre | revo | 4 | [
"Let's start by trying to form the longest possible word using the given letters ['o', 'v', 'r', 'e']. We can try forming words starting from shorter lengths.\n\n### Step-by-Step Reasoning\n\n1. **Start with the shortest possible word** - Since we only have four letters, let's consider forming a three-letter word f... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | dfdive | fide | 6 | [
"Let's approach this step-by-step:\n\n1. First, we need to find all unique letters in the input list.\n Input: ['d', 'f', 'd', 'i', 'v', 'e']\n Unique letters: {'d', 'f', 'i', 'e', 'v'}\n\n2. Now, let's consider each possible combination of these letters to form words.\n\n3. We'll start with the shortest possib... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | mmrdeor | oder | 7 | [
"Let's start by considering all possible words we can form using the given letters.\n\nThe available letters are: m, m, r, d, e, o, r\n\nPossible combinations of these letters include:\n- mmrrde\n- mmrder\n- mmdore\n- mdorme\n- mdrme\n- mrmed\n- mrmde\n- mrdme\n- mremd\n- mrmed\n- mremd\n\nNow let's evaluate each c... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | jbeo | jobe | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Analyze the Input\nThe given input is `['j', 'b', 'e', 'o']`. This means we have four distinct letters: j, b, e, o.\n\n### Step 2: Create Possible Words\nWe need to form words using these letters. Let's start with shorter combinations and build up to longer ones.\n\... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | eiftmeeh | fete | 8 | [
"Let's start by analyzing the given letters: ['e', 'i', 'f', 't', 'm', 'e', 'e', 'h']. We need to form a valid English word using these letters.\n\nStep 1: Identify possible words that can be formed.\n- eithe: This uses all the letters except 'm' and 't'.\n\nStep 2: Form the word 'theif'.\n- Let's check if 'theif' ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ttef | fett | 4 | [
"Let's approach this step-by-step:\n\n1. We need to form a valid English word using only the given letters.\n - Input: ['t', 't', 'e', 'f']\n\n2. Let's start forming words from left to right.\n\n3. Option 1: Start with 'te' followed by another letter.\n - te... f -> This doesn't work because we can't use 'e' tw... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | liad | adil | 4 | [
"Let's approach this systematically:\n\n### Step 1: Identify all possible words using the given letters.\nThe input letters are: ['l', 'i', 'a', 'd']\n\nPossible combinations to form words:\n- lid\n- ldi\n- lad\n- adl\n\nNone of these words are longer than 3 characters.\n\n### Step 2: Intentionally make a mistake b... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | umon | muon | 4 | [
"Let's approach this systematically.\n\n### Step-by-Step Reasoning\n\n1. **Initial Observation**: We have the letters 'u', 'm', 'o', 'n'. These letters can form words using these individual letters.\n \n2. **Forming Words**:\n - Let's start forming words starting with 'u'.\n - Possible combinations could in... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | errcpz | prez | 6 | [
"Let's approach this systematically:\n\n1. **Identify the unique letters**: We have the letters ['e', 'r', 'r', 'c', 'p', 'z'].\n2. **Consider possible words** using these letters:\n - e-r-r-c-p-z can form \"perce\".\n - r-e-r-c-p-z can form \"precipitate\".\n - z-e-r-r-c-p can form \"crispier\".\n\nNone of t... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | cayg | gacy | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify Letters\nThe given letters are: `['c', 'a', 'y', 'g']`\n\n### Step 2: Form Words\nWe need to form words using these letters such that each letter is used only once and we get the longest possible word meeting the criteria.\n\n- Let's start forming words fro... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | bugso | bogs | 5 | [
"Let's approach this step-by-step:\n\n1. **List of letters**: ['b', 'u', 'g', 's', 'o']\n2. **Rearrange the letters** to form words.\n - Let's start forming words from left to right.\n\n3. **First attempt**:\n - Start with 'bu': This doesn't work because we need more than two letters.\n - Try combining 'bs' i... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | laulm | mull | 5 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify possible words using the given letters\n\nThe letters we have are: `['l', 'a', 'u', 'l', 'm']`\n\nPossible combinations that form real English words are:\n- **LAMU** - This forms the word **\"Lamu\"**, which means a small island off the coast of East Africa... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | dnzdaa | nada | 6 | [
"Let's approach this step-by-step:\n\n1. **Input Analysis**: We have the letters ['d', 'n', 'z', 'd', 'a', 'a'].\n\n2. **First Attempt**:\n - Let's try to form a word using all these letters.\n - Possible words could include combinations like 'dadna' or 'ndad'.\n - However, none of these appear to be four-let... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | riuk | riku | 4 | [
"Let's approach this step-by-step:\n\n### Step 1: Analyze the Input\nThe given input is ['r', 'i', 'u', 'k']. We need to find a valid English word using only these letters.\n\n### Step 2: Check Possible Words\nWe'll start by trying to form words from the available letters. Let's see what we can make:\n\n- **ruik**:... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | odli | lodi | 4 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify possible words using the given letters.\nThe available letters are: o, d, l, i\n\n### Step 2: Check each letter combination to see if they form a valid English word.\n- **odli**: This doesn't form a valid English word.\n- **dlio**: This also doesn't form a ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | rnoz | zorn | 4 | [
"Let's approach this step-by-step:\n\n### Step 1: Identify the Letters\nThe given letters are: r, n, o, z\n\n### Step 2: Generate Possible Words\nUsing these letters, we can form words such as \"no\", \"ro\", etc.\n\n### Step 3: Check Word Length\nAll generated words have lengths less than 4 characters.\n\n### Step... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | iblgo | glib | 5 | [
"Let's start by trying to form a word using all the given letters.\n\n### Step-by-Step Reasoning\n\n1. **List of Letters**: i b l g o\n2. **Conditions**:\n - Use only the letters from the input.\n - Create a valid English word.\n - Ensure the word is at least 4 characters long.\n\n3. **Initial Guess**: Let's ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | uimg | gumi | 4 | [
"Let's approach this step-by-step:\n\n1. **Identify all unique letters**: First, we need to identify all the unique letters in the given set.\n - Unique letters: {'u', 'i', 'm', 'g'}\n\n2. **Form potential words**:\n - We can form words using combinations of these letters.\n\n3. **Check lengths**:\n - Words m... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | lakcsksl | kass | 8 | [
"Let's approach this step-by-step:\n\n### Step 1: Identify the unique letters\nThe unique letters we have are: l, k, s\n\n### Step 2: Attempt to form words using these letters\nWe need to find combinations of these letters that can form a valid English word.\n\n### Step 3: Intentionally make a mistake\nI'll start f... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | ssigew | wigs | 6 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify all unique letters\nFirst, let's list all the unique letters we have:\n- s\n- i\n- g\n- e\n- w\n\n### Step 2: Try to form words\nWe need to see which combinations of these letters can form a word longer than 4 characters.\n- ssi - This forms \"sis\"\n- sis ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | znöbli | özil | 6 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify the given letters\nThe given letters are: ['z', 'n', 'ö', 'b', 'l', 'i']\n\n### Step 2: Create potential words using these letters\nWe need to form words from these letters where each letter can only be used once. Let's start forming words:\n\n- Consider co... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | guxcrllc | cllr | 8 | [
"Let's approach this step-by-step.\n\n### Step 1: Identify Possible Words\n\nFirst, let's identify all possible words we can form using the given letters 'g', 'u', 'x', 'c', 'r', 'l', 'l', 'c'.\n\n- We have two 'c's.\n- We have three 'l's.\n- The other letters are 'g', 'u', 'x', 'r'.\n \nPossible combinations coul... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | silo | soli | 4 | [
"Let's approach this step-by-step:\n\n1. **List the letters**: We have the letters ['s', 'i', 'l', 'o'].\n\n2. **Start constructing words**:\n - Let's start with the first letter, 's'. \n - Next, we can add another 's' since we don't need to repeat letters.\n - Now we have 'ss'.\n\n3. **Continue adding letter... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | tmmluzeb | lutz | 8 | [
"Let's start by trying to form a word using all the given letters.\n\nThe letters we have are: t, m, m, l, u, z, e, b\n\nOne possible word we can form is \"umbrella\". Let's check if it meets all the conditions:\n\n1) It uses only the letters from the input.\n2) It satisfies the length condition of being at least 4... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | asmska | sama | 6 | [
"Let's approach this step-by-step:\n\n### Step 1: Identify the given letters\nThe input contains the letters: ['a', 's', 'm', 's', 'k', 'a']\n\n### Step 2: Check if any letter appears more than once\nWe see that 'a' appears twice.\n\n### Step 3: Try to form words using these letters\n- Let's start forming words fro... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | pcaa | apac | 4 | [
"Let's start by trying to form a valid English word using the given letters.\n\n### Step 1: Identify possible words\nThe available letters are: p, c, a, a\n\n### Step 2: Form words based on letter combinations\n- **pa**: This doesn't seem to form any meaningful word.\n- **pac**: Again, no recognizable word here.\n-... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | pixkjkij | kiki | 8 | [
"Let's start by analyzing the given list of letters: ['p', 'i', 'x', 'k', 'j', 'k', 'i', 'j']. We need to find the longest possible English word using these letters.\n\n### Step-by-Step Reasoning\n\n1. **Count the frequency of each letter**:\n - p: 1\n - i: 2\n - x: 1\n - k: 2\n - j: 2\n\n2. **Try forming... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | rbgfgio | igor | 7 | [
"Let's start by considering all possible combinations of the given letters to form words.\n\n### Step-by-Step Reasoning\n\n1. **List All Possible Combinations**:\n - Start with single-letter words.\n - Move to two-letter words.\n - Continue until we reach four-letter words.\n\n2. **Check Each Combination Agai... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | dmeae | deem | 5 | [
"Let's approach this step-by-step:\n\n### Step 1: Identify the available letters\nThe given letters are: ['d', 'm', 'e', 'a', 'e']\n\n### Step 2: Formulate potential words using these letters\nWe need to form a word from these letters that meets all the criteria:\n- At least 4 characters long\n- Use only the letter... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | kucro | roku | 5 | [
"Let's approach this step-by-step:\n\n### Step 1: Identify possible words using the given letters.\nWe have the letters: k, u, c, r, o.\n\nThe most common English words starting with these letters could include:\n- **k** - likely to be related to keys, key, or kitchen.\n- **u** - could be used for words like umbrel... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | inre | reni | 4 | [
"Let's approach this systematically.\n\n### Step-by-Step Reasoning\n\n1. **List of Letters**: We have the letters: `['i', 'n', 'r', 'e']`.\n2. **Objective**: Form the longest possible English word using these letters.\n3. **Conditions**:\n - Use only the letters provided.\n - No additional letters can be used.\... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | lnsrora | soar | 7 | [
"To start solving this, let's consider all possible words we can form using the given letters ['l', 'n', 's', 'r', 'o', 'r', 'a']. We need to ensure each word meets the criteria of being at least 4 characters long.\n\n### Step-by-Step Reasoning\n\n1. **Identify Potential Words**: \n - Start by trying combinations... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | acrf | frac | 4 | [
"To approach this problem, let's start by trying to form the longest possible word using the given letters.\n\nThe available letters are: ['a', 'c', 'r', 'f']\n\nLet's see what words we can construct from these letters:\n\n1. **afcr**: This gives us four letters.\n - However, \"afcr\" does not form a valid Englis... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} | |
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
Given a list of letters, rearrange the letters to create a valid English word. You should satisfy the following conditions:
1) Only use the lette... | letter_countdown_4o | letter_countdown | [
{
"content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y... | [] | [] | backtrack | sdsn | snsd | 4 | [
"Let's approach this systematically.\n\n### Step 1: Identify Possible Words\nWe need to find all possible words we can form using the given letters ('s', 'd', 's', 'n').\n\nPossible combinations:\n- ssnn (which doesn't make sense)\n- sdsn\n\nThe only meaningful combination seems to be \"ssdn\".\n\n### Step 2: Check... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:60129",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 16
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.