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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"To solve this problem, we need to use the numbers 90, 1, and 9 exactly once and combine them using addition, subtraction, multiplication, and division to get the result of 810.\n\nFirst, let's consider the possible combinations:\n\n1. **Multiplication**: We can multiply 90 and 9 first.\n - Step 1: \\( 90 \\times... | [
false
] | [
"\\( 90 \\times 9 = 810 \\)"
] | 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\n1. **Multiplication**: We can multiply 90 and 9 first.\n - Step 1: \\( 90 \\times 9 = 810 \\)\n\nThis directly gives us the result of 810 without needing any other operations.\n\nTherefore, one way to achieve the goal is through multiplication:\n\n<answer>\n\\( 90 \\times 9 = 810 \\... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"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 [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"<answer>\nStep 1: 9 * 9 = 81\nStep 2: 81 - 1 = 80\nStep 3: 80 + 90 = 170\nAlternatively:\nStep 1: (90 - 1) * 9 = 801\nStep 2: 801 / 9 = 89\nStep 3: 89 * 9 = 801\n</answer>"
] | [
false
] | [
"Step 1: 9 * 9 = 81\nStep 2: 81 - 1 = 80\nStep 3: 80 + 90 = 170\nAlternatively:\nStep 1: (90 - 1) * 9 = 801\nStep 2: 801 / 9 = 89\nStep 3: 89 * 9 = 801"
] | 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, 9 * 9 = 81\nNext, 81 - 1 = 80\nThen, 80 + 90 = 170\n\nThe answer is incorrect.",
"Let us verify this answer:\n\nFirst, 9 * 9 = 81\nThen, 81 - 1 = 80\nFinally, 80 + 90 = 170\n\nThe answer is incorrect.",
"Let us verify this answer:\n\nFirst, 9 * 9 = 81\nThen, 81 - 1 = 80\nFi... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"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 [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"To solve this problem, we need to combine the given numbers [90, 1, 9] using basic arithmetic operations to get the target number 810. Here’s one way to do it:\n\n1. **Multiply** the first two numbers (90 * 1):\n - Step 1: 90 * 1 = 90\n\n2. **Add** the result from step 1 to the third number (9):\n - Step 2: 90... | [
false
] | [
"(90 * 1 + 9) * 1 / 90 + 90"
] | 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, 90 * 1 = 90\nThen, 90 + 9 = 99\nNext, 99 * 9 = 891\nFinally, 891 / 90 = 9.899999999999997 ≈ 10 (rounding error)\n\nThe answer provided seems to have some rounding issues, but the core idea of combining the numbers using multiplication and addition as per the instructions is cor... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"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 [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"<answer>\nAlternatively, we can start by multiplying 90 and 9.\nStep 1: 90 * 9 = 810\n</answer>"
] | [
true
] | [
"Alternatively, we can start by multiplying 90 and 9.\nStep 1: 90 * 9 = 810"
] | 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, multiply 90 and 9: 90 * 9 = 810\n\nThe answer is correct.",
"Let us verify this answer:\n\nFirst, 90 * 9 = 810\n\nThe answer is correct.",
"Let us verify this answer:\n\nFirst, 90 * 9 = 810\n\nThe answer is Correct.",
"Let us verify this answer:\n\nFirst, 90 * 9 = 810\n\n... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"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 [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"<answer>\nStep 1: (90 * 9) / 1 = 810\n</answer>"
] | [
true
] | [
"Step 1: (90 * 9) / 1 = 810"
] | 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, 90 * 9 = 810, then 810 / 1 = 810.\n\nThe answer is correct.",
"Let us verify this answer:\n\nFirst, 90 * 9 = 810, then 810 / 1 = 810.\n\nThe answer is incorrect.",
"Let us verify this answer:\n\nFirst, we need to find two numbers from the list such that their product gives ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"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 [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"<answer>\nAlternatively, Step 1: (90 * 9) = 810\n</answer>"
] | [
true
] | [
"Alternatively, Step 1: (90 * 9) = 810"
] | 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, 90 * 9 = 810\n\nSo, the equation is: **90 * 9**\n\nThe answer is correct.",
"Let us verify this answer:\n\nFirst, 90 * 9 = 810\n\nThe answer is correct.",
"Let us verify this answer:\n\nFirst, 90 * 9 = 810, then 1 + 810 = 811. The answer is incorrect.",
"Let us verify thi... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"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 [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"Rewritten Question:\nGiven the numbers 90, 1, and 9, find an equation using these numbers exactly once that equals 810.\n\nStep 1: Start with the base number, which is 90.\nStep 2: Add 1 to get closer to the target.\nStep 3: Multiply the result from Step 2 by 9 to reach the target.\n\n<answer>\n90 * (1 + 9)\n</ans... | [
false
] | [
"90 * (1 + 9)"
] | rephrase | [
{
"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, 90 + 1 = 91\nThen, 91 * 9 = 819\n\nThe answer is incorrect.",
"Let us verify this answer:\n\nFirst, we start with the base number, which is 90.\nNext, we multiply 90 by 9 to get 810.\n\nTherefore, the answer is:\n\n<answer>\n90 * 9\n</answer>",
"Let us verify this answer:\n... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"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 [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"Rewritten Question:\n\nCreate an equation using the numbers [90, 1, 9] that equals 810. Each number must be used exactly once and you can only use basic arithmetic operations (addition, subtraction, multiplication, division).\n\nStep-by-step reasoning:\n\n1. First, we need to find a way to combine these numbers to... | [
true
] | [
"90 * 9"
] | rephrase | [
{
"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 check if the steps lead to the target number correctly.\n\n1. Multiply 90 and 9: \\(90 \\times 9 = 810\\)\n\nSo, the final equation is:\n\n<answer>\n90 * 9\n</answer>\n\nThe answer is correct.",
"Let us verify this answer: First, 90 * 9 = 810. This matches the targ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"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 [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"Rewritten Question:\n\nCreate an equation using the numbers [90, 1, 9] that equals 810.\nStep 1: Multiply 90 by 9.\nStep 2: Add 1 to the result from Step 1.\nFinal Answer:\n<answer>\n90 * 9 + 1\n</answer>"
] | [
false
] | [
"90 * 9 + 1"
] | rephrase | [
{
"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 multiply 90 by 9:\n90 * 9 = 810\n\nNext, we add 1 to the result from Step 1:\n810 + 1 = 811\n\nThe final answer does not match the target number 810. Therefore, the model response is incorrect.",
"Let us verify this answer:\n\nFirst, we need to multiply 90 by 9:\n9... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"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 [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"Rewritten Question:\n\nCreate an equation using the numbers [90, 1, 9] that equals 810.\n\nStep 1: Multiply 90 by 9.\nStep 2: Add 1 to the result from Step 1.\nStep 3: Divide the result from Step 2 by 10.\n\nFinal Equation: (90 * 9 + 1) / 10 = 810\n\nTherefore, the equation that equals 810 using the numbers [90, 1... | [
false
] | [
"((90 * 9) + 1) / 10"
] | rephrase | [
{
"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, multiply 90 by 9: \\( 90 \\times 9 = 810 \\).\n\nThen, subtract 1 from the result: \\( 810 - 1 = 809 \\).\n\nFinally, divide the result by 10: \\( 809 / 10 = 80.9 \\).\n\nThe answer provided does not match the target of 810. Therefore, the model response is incorrect.",
"Let ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"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 [90, 1, 9], create an equation that equals 810. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 90*9/1 | 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": 220, "numbers": [90, 1, 9], "target": 810, "expression": "90*9/1"} | [
"90 * 9 = 810",
"Step 1: 90 * 9 = 810",
"Step 1: 9 * 9 = 81\nStep 2: 81 * 10 = 810",
"",
"Step 1: 90 + 1 = 91\nStep 2: 91 * 9 = 819\nStep 3: 819 - 9 = 810",
"",
"Step 1: 90 * 9 = 810",
"No calculation needed since 90 * 9 directly gives us 810.",
"No further steps needed since direct multiplication a... | [
null,
null,
"Line uses unavailable numbers: Step 1: 9 * 9 = 81",
"No <final_answer> or <answer> tag found",
"Line uses unavailable numbers: Step 3: 819 - 9 = 810",
"No <final_answer> or <answer> tag found",
null,
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | {
"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/Qw... | [
"Rewritten Question:\n\nCreate an equation using the numbers 90, 1, and 9 from the given list to equal 810.\n\nStep 1: Multiply 90 by 9.\nStep 2: Divide the result by 1.\n\n<answer>\n(90 * 9) / 1\n</answer>"
] | [
true
] | [
"(90 * 9) / 1"
] | rephrase | [
{
"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, we multiply 90 by 9, which gives us 810. Then, we divide 810 by 1, which also gives us 810. Therefore, the equation \\(90 \\times 9 \\div 1\\) equals 810.\n\nThe answer is correct.",
"Let us verify this answer: First, 90 * 9 = 810, then 810 / 1 = 810. The answer is incorrect.\n\... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53313",
"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/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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