question stringclasses 60 values | answer stringclasses 60 values | task_config stringclasses 1 value | task_source stringclasses 1 value | prompt listlengths 2 2 | metadata stringclasses 60 values | is_model_response_correct__final_answer listlengths 64 64 | is_model_response_correct__reasoning listlengths 64 64 | prompt__mutated_prompts__metadata dict | model_responses__mutated_prompts listlengths 1 1 | model_responses__mutated_prompts__eval_is_correct listlengths 1 1 | model_responses__mutated_prompts__eval_extracted_answers listlengths 1 1 | prompt_variant stringclasses 7 values | reflection_prompt listlengths 2 2 | model_responses__mutated_prompts_reflection listlengths 4 4 | model_responses__mutated_prompts_reflection__finish_reason_length_flags listlengths 4 4 | model_responses__mutated_prompts_reflection__length_partial_responses listlengths 4 4 | reflection_prompt__mutated_prompts_reflection__metadata dict | model_responses__mutated_prompts_reflection__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
Using the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 76 + 76 + 87 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | {"source_dataset": "countdown", "source_index": 3374, "numbers": [76, 76, 87], "target": 239, "expression": "76 + 76 + 87"} | [
"Step 1: 87 / 3 = 29\nStep 2: 76 + 76 = 152\nStep 3: 152 * 1 = 152\nStep 4: 152 + 58 = 210\nStep 5: 210 + 29 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 * 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 + 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 - 87 = 65\nStep 3: 65 * 87 = 5655\nStep 4: 5655 / 239 = 23.... | [
"Line uses unavailable numbers: Step 1: 87 / 3 = 29",
"Incorrect arithmetic in line: Step 2: 152 * 87 = 239",
null,
"Line uses unavailable numbers: Step 3: 65 * 87 = 5655",
"Could not evaluate line: Step 2: 152 * 87 = 13,224",
"Line uses unavailable numbers: Step 1: 152 - 87 = 65",
"Incorrect arithmetic... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
}
]
} | [
"Let's start with the given numbers: 76, 76, and 87.\nStep 1: Add 76 and 76 together.\nStep 2: Subtract 87 from the result obtained in Step 1.\nStep 3: Divide the result obtained in Step 2 by 2.\nStep 4: The final result will be 239.\n\nSo, our equation would look like this:\n\n<answer>\nStep 1: (76 + 76) = 152\nSt... | [
false
] | [
"Step 1: (76 + 76) = 152\nStep 2: 152 - 87 = 65\nStep 3: 65 / 2 = 32.5"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, 76 + 76 = 152,\nThen, 152 - 87 = 65,\nFinally, 65 / 2 = 32.5,\n\nThe final result does not match 239, so the answer is incorrect.",
"Let us verify this answer: First, we need to find all possible combinations using the given numbers 76, 76, and 87. We have two ways to approac... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:40347",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to your reasoning. You never ever solve the question yourself or give the answer to the question.",
"role": "system"
},
{
"content": "Below is a question and a model response. \nAfter reading the question and the model response, please reflect on whether the model response is correct or incorrect.\nDo not attempt to correct the model response or to improve it, just reflect on it.\n\n# Problem\nAnswer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.\n\n# Model Response\nLet's start with the given numbers: 76, 76, and 87.\nStep 1: Add 76 and 76 together.\nStep 2: Subtract 87 from the result obtained in Step 1.\nStep 3: Divide the result obtained in Step 2 by 2.\nStep 4: The final result will be 239.\n\nSo, our equation would look like this:\n\n<answer>\nStep 1: (76 + 76) = 152\nStep 2: 152 - 87 = 65\nStep 3: 65 / 2 = 32.5\n</answer>\n\n# Task\nIs this previous answer correct or incorrect? Reflect on it and add your final answer inside <verdict> </verdict> tags.\n\nFor example, if the list of numbers was [20, 28, 98], the target was 658, and the answer was 98 + 28 \\times 20 = 658 you could write:\nLet us verify this answer: First, 28 \\times 20 = 560, then 98 + 560 = 658. The answer is correct.\n<verdict>\nCorrect\n</verdict>\n\nTo give another example, if the list of numbers was [22, 8, 38], the target was 214, and the answer was (22 - 8) \\times 38 = 214, you could write:\nLet us verify this answer: First, 22 - 8 = 14, then 14 \\times 38 = 532. This is not equal to 214, so the answer is incorrect.\n<verdict>\nIncorrect\n</verdict>\n\nRemember, only reflect on the model response, do not attempt to correct it or improve it.\nReport your final assessment inside <verdict> </verdict> tags. You may only say a verdict is \"Correct\" or \"Incorrect\". Nothing else is allowed within the <verdict> tags. Make your reflections brief, but you should always reflect before the <verdict> tags, you cannot only give a verdict. Start your response with \"Let us verify this answer:\". Do not answer the question, determine if the models answer is correct.",
"role": "user"
}
]
} | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 76 + 76 + 87 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | {"source_dataset": "countdown", "source_index": 3374, "numbers": [76, 76, 87], "target": 239, "expression": "76 + 76 + 87"} | [
"Step 1: 87 / 3 = 29\nStep 2: 76 + 76 = 152\nStep 3: 152 * 1 = 152\nStep 4: 152 + 58 = 210\nStep 5: 210 + 29 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 * 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 + 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 - 87 = 65\nStep 3: 65 * 87 = 5655\nStep 4: 5655 / 239 = 23.... | [
"Line uses unavailable numbers: Step 1: 87 / 3 = 29",
"Incorrect arithmetic in line: Step 2: 152 * 87 = 239",
null,
"Line uses unavailable numbers: Step 3: 65 * 87 = 5655",
"Could not evaluate line: Step 2: 152 * 87 = 13,224",
"Line uses unavailable numbers: Step 1: 152 - 87 = 65",
"Incorrect arithmetic... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
}
]
} | [
"<answer>\nStep 1: 76 * 76 = 5776\nStep 2: 5776 - 4 = 5772\nStep 3: 5772 - 87 = 5685\nOops! I made a mistake.\nLet's correct it.\nStep 4: 5776 - 87 = 5689\n</answer>"
] | [
false
] | [
"Step 1: 76 * 76 = 5776\nStep 2: 5776 - 4 = 5772\nStep 3: 5772 - 87 = 5685\nOops! I made a mistake.\nLet's correct it.\nStep 4: 5776 - 87 = 5689"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, we need to calculate the sum of the numbers in the list: 76 + 76 + 87 = 239.\n\nTherefore, the answer is:\n\n<answer>\n239\n</answer>",
"Let us verify this answer:\n\nFirst, 76 + 76 = 152\nThen, 152 - 87 = 65\n\nThe answer is correct.",
"Let us verify this answer:\n\nFirst,... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:40347",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to your reasoning. You never ever solve the question yourself or give the answer to the question.",
"role": "system"
},
{
"content": "Below is a question and a model response. \nAfter reading the question and the model response, please reflect on whether the model response is correct or incorrect.\nDo not attempt to correct the model response or to improve it, just reflect on it.\n\n# Problem\nAnswer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.\n\n# Model Response\n<answer>\nStep 1: 76 * 76 = 5776\nStep 2: 5776 - 4 = 5772\nStep 3: 5772 - 87 = 5685\nOops! I made a mistake.\nLet's correct it.\nStep 4: 5776 - 87 = 5689\n</answer>\n\n# Task\nIs this previous answer correct or incorrect? Reflect on it and add your final answer inside <verdict> </verdict> tags.\n\nFor example, if the list of numbers was [20, 28, 98], the target was 658, and the answer was 98 + 28 \\times 20 = 658 you could write:\nLet us verify this answer: First, 28 \\times 20 = 560, then 98 + 560 = 658. The answer is correct.\n<verdict>\nCorrect\n</verdict>\n\nTo give another example, if the list of numbers was [22, 8, 38], the target was 214, and the answer was (22 - 8) \\times 38 = 214, you could write:\nLet us verify this answer: First, 22 - 8 = 14, then 14 \\times 38 = 532. This is not equal to 214, so the answer is incorrect.\n<verdict>\nIncorrect\n</verdict>\n\nRemember, only reflect on the model response, do not attempt to correct it or improve it.\nReport your final assessment inside <verdict> </verdict> tags. You may only say a verdict is \"Correct\" or \"Incorrect\". Nothing else is allowed within the <verdict> tags. Make your reflections brief, but you should always reflect before the <verdict> tags, you cannot only give a verdict. Start your response with \"Let us verify this answer:\". Do not answer the question, determine if the models answer is correct.",
"role": "user"
}
]
} | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 76 + 76 + 87 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | {"source_dataset": "countdown", "source_index": 3374, "numbers": [76, 76, 87], "target": 239, "expression": "76 + 76 + 87"} | [
"Step 1: 87 / 3 = 29\nStep 2: 76 + 76 = 152\nStep 3: 152 * 1 = 152\nStep 4: 152 + 58 = 210\nStep 5: 210 + 29 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 * 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 + 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 - 87 = 65\nStep 3: 65 * 87 = 5655\nStep 4: 5655 / 239 = 23.... | [
"Line uses unavailable numbers: Step 1: 87 / 3 = 29",
"Incorrect arithmetic in line: Step 2: 152 * 87 = 239",
null,
"Line uses unavailable numbers: Step 3: 65 * 87 = 5655",
"Could not evaluate line: Step 2: 152 * 87 = 13,224",
"Line uses unavailable numbers: Step 1: 152 - 87 = 65",
"Incorrect arithmetic... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
}
]
} | [
"Let's start by using the given numbers [76, 76, 87] and trying different combinations of addition, subtraction, multiplication, and division.\nStep 1: Let's try multiplying 76 and 76 first.\nStep 2: Now we have 577 which seems too large for our target of 239.\nStep 3: Instead, let's try subtracting 76 from 87.\nSt... | [
false
] | [
"(76 - 76) * (87 - 76) + 11 / 1"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, 76 - 76 = 0, then 87 + 0 = 87. This does not result in 239, so the answer is incorrect.\n\n<verdict>\nIncorrect\n</verdict>",
"Let us verify this answer:\n\nFirst, 76 - 76 = 0,\nThen, 87 + 0 = 87,\nFinally, 87 * 76 = 6552.\n\nThe answer is incorrect.",
"Let us verify this a... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:40347",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to your reasoning. You never ever solve the question yourself or give the answer to the question.",
"role": "system"
},
{
"content": "Below is a question and a model response. \nAfter reading the question and the model response, please reflect on whether the model response is correct or incorrect.\nDo not attempt to correct the model response or to improve it, just reflect on it.\n\n# Problem\nAnswer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.\n\n# Model Response\nLet's start by using the given numbers [76, 76, 87] and trying different combinations of addition, subtraction, multiplication, and division.\nStep 1: Let's try multiplying 76 and 76 first.\nStep 2: Now we have 577 which seems too large for our target of 239.\nStep 3: Instead, let's try subtracting 76 from 87.\nStep 4: This gives us 11.\nStep 5: Now we need to find a way to get close to 239 using these remaining numbers.\nStep 6: We can add 11 and 108 to get 119.\nStep 7: Then we can subtract 108 from 119 to get 11.\nStep 8: Finally, we can divide 11 by 1 to get 11.\nSo the final equation would be:\n<answer>\n(76 - 76) * (87 - 76) + 11 / 1\n</answer>\n\n# Task\nIs this previous answer correct or incorrect? Reflect on it and add your final answer inside <verdict> </verdict> tags.\n\nFor example, if the list of numbers was [20, 28, 98], the target was 658, and the answer was 98 + 28 \\times 20 = 658 you could write:\nLet us verify this answer: First, 28 \\times 20 = 560, then 98 + 560 = 658. The answer is correct.\n<verdict>\nCorrect\n</verdict>\n\nTo give another example, if the list of numbers was [22, 8, 38], the target was 214, and the answer was (22 - 8) \\times 38 = 214, you could write:\nLet us verify this answer: First, 22 - 8 = 14, then 14 \\times 38 = 532. This is not equal to 214, so the answer is incorrect.\n<verdict>\nIncorrect\n</verdict>\n\nRemember, only reflect on the model response, do not attempt to correct it or improve it.\nReport your final assessment inside <verdict> </verdict> tags. You may only say a verdict is \"Correct\" or \"Incorrect\". Nothing else is allowed within the <verdict> tags. Make your reflections brief, but you should always reflect before the <verdict> tags, you cannot only give a verdict. Start your response with \"Let us verify this answer:\". Do not answer the question, determine if the models answer is correct.",
"role": "user"
}
]
} | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 76 + 76 + 87 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | {"source_dataset": "countdown", "source_index": 3374, "numbers": [76, 76, 87], "target": 239, "expression": "76 + 76 + 87"} | [
"Step 1: 87 / 3 = 29\nStep 2: 76 + 76 = 152\nStep 3: 152 * 1 = 152\nStep 4: 152 + 58 = 210\nStep 5: 210 + 29 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 * 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 + 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 - 87 = 65\nStep 3: 65 * 87 = 5655\nStep 4: 5655 / 239 = 23.... | [
"Line uses unavailable numbers: Step 1: 87 / 3 = 29",
"Incorrect arithmetic in line: Step 2: 152 * 87 = 239",
null,
"Line uses unavailable numbers: Step 3: 65 * 87 = 5655",
"Could not evaluate line: Step 2: 152 * 87 = 13,224",
"Line uses unavailable numbers: Step 1: 152 - 87 = 65",
"Incorrect arithmetic... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
}
]
} | [
"Let's start with the given numbers: [76, 76, 87]. We need to create an equation that equals 239 using these numbers exactly once.\n\nStep 1: Let's add 76 and 76.\nStep 2: Now we have 152. To get closer to our target of 239, let's subtract 87 from 152.\nStep 3: 152 - 87 = 65\nStep 4: Our result so far is 65. Since ... | [
false
] | [
"(Add 76 and 76, then subtract 87, finally divide by 3)"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer: First, 76 + 76 = 152, then 152 - 87 = 65, and lastly, 65 / 3 ≈ 21.67, which is not a whole number and does not equal 239. Therefore, the answer is incorrect.\n\n<verdict>\nIncorrect\n</verdict>",
"Let us verify this answer:\n\nFirst, 76 + 76 = 152.\nThen, 152 - 87 = 65.\nFinally, 65 / ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:40347",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to your reasoning. You never ever solve the question yourself or give the answer to the question.",
"role": "system"
},
{
"content": "Below is a question and a model response. \nAfter reading the question and the model response, please reflect on whether the model response is correct or incorrect.\nDo not attempt to correct the model response or to improve it, just reflect on it.\n\n# Problem\nAnswer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.\n\n# Model Response\nLet's start with the given numbers: [76, 76, 87]. We need to create an equation that equals 239 using these numbers exactly once.\n\nStep 1: Let's add 76 and 76.\nStep 2: Now we have 152. To get closer to our target of 239, let's subtract 87 from 152.\nStep 3: 152 - 87 = 65\nStep 4: Our result so far is 65. Since we want to reach 239, let's multiply 65 by 3.\nStep 5: 65 * 3 = 195\n\nOops! We made a mistake; instead of multiplying 65 by 3, we should divide 65 by 3 to get the correct equation. Let's correct this:\n\nFinal Step: 65 / 3 = 21.666...\n\nHowever, since we're dealing with whole numbers and aiming for exactness, let's re-evaluate if there might be another approach or if we missed something simple. But based on the instructions provided, dividing 65 by 3 doesn't fit perfectly into our original goal of reaching 239 directly through multiplication or addition/subtraction with whole numbers. \n\nGiven the constraints and the instruction to create an equation that equals 239 using the given numbers exactly once, I see no other straightforward way to achieve this within the provided options. Therefore, my previous correction process seems flawed because it does not logically lead us back towards achieving 239 with whole numbers.\n\nSince the initial attempt led to division rather than addition, subtraction, or multiplication, and considering the complexity of creating such an equation without explicitly stating an error, I'll stick with the closest logical next step which involves adding and subtracting:\n\nFinal Answer:\n<answer>\n(Add 76 and 76, then subtract 87, finally divide by 3)\n</answer>\n\n# Task\nIs this previous answer correct or incorrect? Reflect on it and add your final answer inside <verdict> </verdict> tags.\n\nFor example, if the list of numbers was [20, 28, 98], the target was 658, and the answer was 98 + 28 \\times 20 = 658 you could write:\nLet us verify this answer: First, 28 \\times 20 = 560, then 98 + 560 = 658. The answer is correct.\n<verdict>\nCorrect\n</verdict>\n\nTo give another example, if the list of numbers was [22, 8, 38], the target was 214, and the answer was (22 - 8) \\times 38 = 214, you could write:\nLet us verify this answer: First, 22 - 8 = 14, then 14 \\times 38 = 532. This is not equal to 214, so the answer is incorrect.\n<verdict>\nIncorrect\n</verdict>\n\nRemember, only reflect on the model response, do not attempt to correct it or improve it.\nReport your final assessment inside <verdict> </verdict> tags. You may only say a verdict is \"Correct\" or \"Incorrect\". Nothing else is allowed within the <verdict> tags. Make your reflections brief, but you should always reflect before the <verdict> tags, you cannot only give a verdict. Start your response with \"Let us verify this answer:\". Do not answer the question, determine if the models answer is correct.",
"role": "user"
}
]
} | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 76 + 76 + 87 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | {"source_dataset": "countdown", "source_index": 3374, "numbers": [76, 76, 87], "target": 239, "expression": "76 + 76 + 87"} | [
"Step 1: 87 / 3 = 29\nStep 2: 76 + 76 = 152\nStep 3: 152 * 1 = 152\nStep 4: 152 + 58 = 210\nStep 5: 210 + 29 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 * 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 + 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 - 87 = 65\nStep 3: 65 * 87 = 5655\nStep 4: 5655 / 239 = 23.... | [
"Line uses unavailable numbers: Step 1: 87 / 3 = 29",
"Incorrect arithmetic in line: Step 2: 152 * 87 = 239",
null,
"Line uses unavailable numbers: Step 3: 65 * 87 = 5655",
"Could not evaluate line: Step 2: 152 * 87 = 13,224",
"Line uses unavailable numbers: Step 1: 152 - 87 = 65",
"Incorrect arithmetic... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
}
]
} | [
"<answer>\nStep 1: (76 - 87) * (-1) = -111\nStep 2: -111 + 76 = -35\nStep 3: -35 + 87 = 52\nAlternatively,\nStep 4: (76 + 76) * 1 = 152\nStep 5: 152 - 87 = 65\nStep 6: 65 - 76 = -11\n</answer>"
] | [
false
] | [
"Step 1: (76 - 87) * (-1) = -111\nStep 2: -111 + 76 = -35\nStep 3: -35 + 87 = 52\nAlternatively,\nStep 4: (76 + 76) * 1 = 152\nStep 5: 152 - 87 = 65\nStep 6: 65 - 76 = -11"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, we need to use the numbers 76, 76, and 87 to form an equation that equals 239. We can start by using the first two numbers:\n\nStep 1: (76 - 87) * (-1) = -111\n\nNow, let's try to adjust this result to get closer to 239:\n\nStep 2: -111 + 76 = -35\nStep 3: -35 + 87 = 52\n\nSo, ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:40347",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to your reasoning. You never ever solve the question yourself or give the answer to the question.",
"role": "system"
},
{
"content": "Below is a question and a model response. \nAfter reading the question and the model response, please reflect on whether the model response is correct or incorrect.\nDo not attempt to correct the model response or to improve it, just reflect on it.\n\n# Problem\nAnswer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.\n\n# Model Response\n<answer>\nStep 1: (76 - 87) * (-1) = -111\nStep 2: -111 + 76 = -35\nStep 3: -35 + 87 = 52\nAlternatively,\nStep 4: (76 + 76) * 1 = 152\nStep 5: 152 - 87 = 65\nStep 6: 65 - 76 = -11\n</answer>\n\n# Task\nIs this previous answer correct or incorrect? Reflect on it and add your final answer inside <verdict> </verdict> tags.\n\nFor example, if the list of numbers was [20, 28, 98], the target was 658, and the answer was 98 + 28 \\times 20 = 658 you could write:\nLet us verify this answer: First, 28 \\times 20 = 560, then 98 + 560 = 658. The answer is correct.\n<verdict>\nCorrect\n</verdict>\n\nTo give another example, if the list of numbers was [22, 8, 38], the target was 214, and the answer was (22 - 8) \\times 38 = 214, you could write:\nLet us verify this answer: First, 22 - 8 = 14, then 14 \\times 38 = 532. This is not equal to 214, so the answer is incorrect.\n<verdict>\nIncorrect\n</verdict>\n\nRemember, only reflect on the model response, do not attempt to correct it or improve it.\nReport your final assessment inside <verdict> </verdict> tags. You may only say a verdict is \"Correct\" or \"Incorrect\". Nothing else is allowed within the <verdict> tags. Make your reflections brief, but you should always reflect before the <verdict> tags, you cannot only give a verdict. Start your response with \"Let us verify this answer:\". Do not answer the question, determine if the models answer is correct.",
"role": "user"
}
]
} | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 76 + 76 + 87 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | {"source_dataset": "countdown", "source_index": 3374, "numbers": [76, 76, 87], "target": 239, "expression": "76 + 76 + 87"} | [
"Step 1: 87 / 3 = 29\nStep 2: 76 + 76 = 152\nStep 3: 152 * 1 = 152\nStep 4: 152 + 58 = 210\nStep 5: 210 + 29 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 * 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 + 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 - 87 = 65\nStep 3: 65 * 87 = 5655\nStep 4: 5655 / 239 = 23.... | [
"Line uses unavailable numbers: Step 1: 87 / 3 = 29",
"Incorrect arithmetic in line: Step 2: 152 * 87 = 239",
null,
"Line uses unavailable numbers: Step 3: 65 * 87 = 5655",
"Could not evaluate line: Step 2: 152 * 87 = 13,224",
"Line uses unavailable numbers: Step 1: 152 - 87 = 65",
"Incorrect arithmetic... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
}
]
} | [
"To solve this problem, we need to use the numbers [76, 76, 87] exactly once and combine them using addition, subtraction, multiplication, and division to get the result 239. Let's explore different combinations:\n\n**Alternative 1:**\n- Start with one of the numbers.\n- Use another number and apply an operation.\n... | [
false
] | [
"\\( 76 \\times 76 + 87 - 76 = 5776 + 87 - 76 = 5807 \\)"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, 76 + 76 = 152, then 152 * 87 = 13224, finally 13224 - 76 = 13148. This does not equal 239, so the answer is incorrect.\n\n<verdict>\nIncorrect\n</verdict>",
"Let us verify this answer:\n\nFirst, 76 + 76 = 152, then 152 * 87 = 13144, finally 13144 - 76 = 13068.\n\nThe answer i... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:40347",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to your reasoning. You never ever solve the question yourself or give the answer to the question.",
"role": "system"
},
{
"content": "Below is a question and a model response. \nAfter reading the question and the model response, please reflect on whether the model response is correct or incorrect.\nDo not attempt to correct the model response or to improve it, just reflect on it.\n\n# Problem\nAnswer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.\n\n# Model Response\nTo solve this problem, we need to use the numbers [76, 76, 87] exactly once and combine them using addition, subtraction, multiplication, and division to get the result 239. Let's explore different combinations:\n\n**Alternative 1:**\n- Start with one of the numbers.\n- Use another number and apply an operation.\n- Repeat until we reach the target.\n\nLet's try starting with 76:\n\\[ 76 \\times 87 - 76 = 6512 - 76 = 6436 \\]\nThis doesn't work because we need 239.\n\n**Alternative 2:**\n- Try combining the remaining two numbers differently.\n\nNow let's try with 76 again but in a different way:\n\\[ (76 + 76) \\div 87 = 152 \\div 87 \\approx 1.74 \\]\nThis also doesn't work.\n\n**Alternative 3:**\n- Combine all three numbers directly.\n\nTry adding and subtracting:\n\\[ 76 \\times 87 + 76 - 76 = 6512 + 76 - 76 = 6512 \\]\nThis still isn't right.\n\n**Alternative 4:**\n- Try dividing first and then multiplying.\n\nCombine the numbers in reverse order:\n\\[ 76 \\times 76 + 87 - 76 = 5776 + 87 - 76 = 5807 \\]\nStill not there.\n\n**Alternative 5:**\n- Directly add and multiply.\n\nCombine the numbers directly:\n\\[ 76 \\times 76 + 87 - 76 = 5776 + 87 - 76 = 5807 \\]\nThis seems promising, but it's close but not exact.\n\n**Final Attempt:**\n\\[ 76 \\times 76 + 87 - 76 = 5776 + 87 - 76 = 5807 \\]\n\nSince none of these direct attempts worked perfectly, let's simplify our approach by trying a simpler combination:\n\n\\[ 76 \\times 87 - 76 = 6512 - 76 = 6436 \\]\nThis still needs adjustment.\n\n**Final Simplified Alternative:**\n\\[ 76 \\times 76 + 87 - 76 = 5776 + 87 - 76 = 5807 \\]\n\nGiven the constraints, I realize my previous approaches were overly complex. Let me re-evaluate with a simpler method:\n\n\\[ 76 \\times 76 + 87 - 76 = 5776 + 87 - 76 = 5807 \\]\n\nBut I see no simple direct path. Let's break down another attempt:\n\n\\[ 76 \\times 87 + 76 - 76 = 6512 + 76 - 76 = 6512 \\]\n\nThis simplifies to:\n\n\\[ 76 \\times 87 = 6512 \\]\n\nSo, let’s check:\n\n\\[ 6512 - 76 = 6436 \\]\n\nFinally, \\( 6436 - 76 = 6360 \\).\n\nTherefore, the closest simplified version would be:\n\n<answer>\n\\( 76 \\times 76 + 87 - 76 = 5776 + 87 - 76 = 5807 \\)\n</answer>\n\n# Task\nIs this previous answer correct or incorrect? Reflect on it and add your final answer inside <verdict> </verdict> tags.\n\nFor example, if the list of numbers was [20, 28, 98], the target was 658, and the answer was 98 + 28 \\times 20 = 658 you could write:\nLet us verify this answer: First, 28 \\times 20 = 560, then 98 + 560 = 658. The answer is correct.\n<verdict>\nCorrect\n</verdict>\n\nTo give another example, if the list of numbers was [22, 8, 38], the target was 214, and the answer was (22 - 8) \\times 38 = 214, you could write:\nLet us verify this answer: First, 22 - 8 = 14, then 14 \\times 38 = 532. This is not equal to 214, so the answer is incorrect.\n<verdict>\nIncorrect\n</verdict>\n\nRemember, only reflect on the model response, do not attempt to correct it or improve it.\nReport your final assessment inside <verdict> </verdict> tags. You may only say a verdict is \"Correct\" or \"Incorrect\". Nothing else is allowed within the <verdict> tags. Make your reflections brief, but you should always reflect before the <verdict> tags, you cannot only give a verdict. Start your response with \"Let us verify this answer:\". Do not answer the question, determine if the models answer is correct.",
"role": "user"
}
]
} | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 76 + 76 + 87 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | {"source_dataset": "countdown", "source_index": 3374, "numbers": [76, 76, 87], "target": 239, "expression": "76 + 76 + 87"} | [
"Step 1: 87 / 3 = 29\nStep 2: 76 + 76 = 152\nStep 3: 152 * 1 = 152\nStep 4: 152 + 58 = 210\nStep 5: 210 + 29 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 * 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 + 87 = 239",
"Step 1: 76 + 76 = 152\nStep 2: 152 - 87 = 65\nStep 3: 65 * 87 = 5655\nStep 4: 5655 / 239 = 23.... | [
"Line uses unavailable numbers: Step 1: 87 / 3 = 29",
"Incorrect arithmetic in line: Step 2: 152 * 87 = 239",
null,
"Line uses unavailable numbers: Step 3: 65 * 87 = 5655",
"Could not evaluate line: Step 2: 152 * 87 = 13,224",
"Line uses unavailable numbers: Step 1: 152 - 87 = 65",
"Incorrect arithmetic... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
}
]
} | [
"<answer>\nStep 1: 76 * 76 = 5776\nStep 2: 5776 - 87 = 5689\n</answer>"
] | [
false
] | [
"Step 1: 76 * 76 = 5776\nStep 2: 5776 - 87 = 5689"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, we calculate 76 * 76 = 5776.\nThen, we subtract 87 from 5776: 5776 - 87 = 5689.\n\nThe final result is 5689, which does not match the target number 239. Therefore, the model response is incorrect.",
"Let us verify this answer:\n\nFirst, we need to find a way to get from 76 to... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:40347",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"prompt": [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to your reasoning. You never ever solve the question yourself or give the answer to the question.",
"role": "system"
},
{
"content": "Below is a question and a model response. \nAfter reading the question and the model response, please reflect on whether the model response is correct or incorrect.\nDo not attempt to correct the model response or to improve it, just reflect on it.\n\n# Problem\nAnswer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76, 87], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.\n\n# Model Response\n<answer>\nStep 1: 76 * 76 = 5776\nStep 2: 5776 - 87 = 5689\n</answer>\n\n# Task\nIs this previous answer correct or incorrect? Reflect on it and add your final answer inside <verdict> </verdict> tags.\n\nFor example, if the list of numbers was [20, 28, 98], the target was 658, and the answer was 98 + 28 \\times 20 = 658 you could write:\nLet us verify this answer: First, 28 \\times 20 = 560, then 98 + 560 = 658. The answer is correct.\n<verdict>\nCorrect\n</verdict>\n\nTo give another example, if the list of numbers was [22, 8, 38], the target was 214, and the answer was (22 - 8) \\times 38 = 214, you could write:\nLet us verify this answer: First, 22 - 8 = 14, then 14 \\times 38 = 532. This is not equal to 214, so the answer is incorrect.\n<verdict>\nIncorrect\n</verdict>\n\nRemember, only reflect on the model response, do not attempt to correct it or improve it.\nReport your final assessment inside <verdict> </verdict> tags. You may only say a verdict is \"Correct\" or \"Incorrect\". Nothing else is allowed within the <verdict> tags. Make your reflections brief, but you should always reflect before the <verdict> tags, you cannot only give a verdict. Start your response with \"Let us verify this answer:\". Do not answer the question, determine if the models answer is correct.",
"role": "user"
}
]
} | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 76 + 76 + 87 | countdown_3arg | countdown | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 3374, \"numbers\": [76, 76, 87], \"target\": (...TRUNCATED) | ["Step 1: 87 / 3 = 29\nStep 2: 76 + 76 = 152\nStep 3: 152 * 1 = 152\nStep 4: 152 + 58 = 210\nStep 5:(...TRUNCATED) | ["Line uses unavailable numbers: Step 1: 87 / 3 = 29","Incorrect arithmetic in line: Step 2: 152 * 8(...TRUNCATED) | {"api_url":"http://127.0.0.1:38605","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | ["Alternatively, let's start with the first number and see what we can do:\n\nStep 1: 76 - 76 = 0\n\(...TRUNCATED) | [
false
] | [
"(76 + 87) / 2 + 76 - 105"
] | alternatively | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | ["Let us verify this answer:\n\nFirst, 76 - 76 = 0,\nNext, 0 + 87 = 87,\nThen, 87 * 2 = 174,\nFinall(...TRUNCATED) | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url":"http://127.0.0.1:40347","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 76 + 76 + 87 | countdown_3arg | countdown | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 3374, \"numbers\": [76, 76, 87], \"target\": (...TRUNCATED) | ["Step 1: 87 / 3 = 29\nStep 2: 76 + 76 = 152\nStep 3: 152 * 1 = 152\nStep 4: 152 + 58 = 210\nStep 5:(...TRUNCATED) | ["Line uses unavailable numbers: Step 1: 87 / 3 = 29","Incorrect arithmetic in line: Step 2: 152 * 8(...TRUNCATED) | {"api_url":"http://127.0.0.1:38605","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | ["Rewritten Question:\n\nWhat is the result when using the numbers [76, 76, 87] exactly once, along (...TRUNCATED) | [
true
] | [
"(76 + 76 + 87) = 239"
] | rephrase | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | ["Let us verify this answer:\n\nFirst, 76 + 76 + 87 = 239.\n\nThe answer is correct.","Let us verify(...TRUNCATED) | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url":"http://127.0.0.1:40347","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 76 + 76 + 87 | countdown_3arg | countdown | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 3374, \"numbers\": [76, 76, 87], \"target\": (...TRUNCATED) | ["Step 1: 87 / 3 = 29\nStep 2: 76 + 76 = 152\nStep 3: 152 * 1 = 152\nStep 4: 152 + 58 = 210\nStep 5:(...TRUNCATED) | ["Line uses unavailable numbers: Step 1: 87 / 3 = 29","Incorrect arithmetic in line: Step 2: 152 * 8(...TRUNCATED) | {"api_url":"http://127.0.0.1:38605","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | ["Rewritten Question:\n\nWhat is the result when using the numbers [76, 76, 87] exactly once to form(...TRUNCATED) | [
false
] | [
"(76 + 76) * 87 - 87"
] | rephrase | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | ["Let us verify this answer: First, we start with the first two numbers: 76 + 76 = 152. Then, multip(...TRUNCATED) | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url":"http://127.0.0.1:40347","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
End of preview. Expand
in Data Studio
README.md exists but content is empty.
- Downloads last month
- 5