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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 [60, 70], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 60 + 70 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5032, \"numbers\": [60, 70], \"target\": 130, \"expression\": \"60 + 70\"}"} | test | {"source_dataset": "countdown", "source_index": 5032, "numbers": [60, 70], "target": 130, "expression": "60 + 70"} | [
"To solve for 130 using the numbers 60 and 70 with each number used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 130. Let's break down the process:\n\n1. **Identify possible combinations**: We need to combine these two numbers (60 and 70) int... | [
false
] | [
""
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false
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"\\(60 + 70 = 130\\)"
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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 [3, 44], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*44 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5182, \"numbers\": [3, 44], \"target\": 132, \"expression\": \"3*44\"}"} | test | {"source_dataset": "countdown", "source_index": 5182, "numbers": [3, 44], "target": 132, "expression": "3*44"} | [
"To solve this problem, we need to use the numbers 3 and 44 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 132. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 3 and 44**: \n \\[\n 3 \\times 44 = 132\n \\]\n \nThis... | [
false
] | [
""
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"\\(3 \\times 44 = 132\\)"
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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 [23, 6], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 23*6 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"To solve this problem, we need to combine the given numbers [23, 6] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 138. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 23 and 6**: \n \\[\n 23 \\times 6 = 138... | [
false
] | [
""
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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 [38, 64], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 64 + 38 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5659, \"numbers\": [38, 64], \"target\": 102, \"expression\": \"64 + 38\"}"} | test | {"source_dataset": "countdown", "source_index": 5659, "numbers": [38, 64], "target": 102, "expression": "64 + 38"} | [
"To solve this problem, we need to use the numbers 38 and 64 from the given list to achieve the target number 102 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 38 and 64**:\n - First, multiply these two numbers together.\n \\[\n 38 \\times 6... | [
false
] | [
""
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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, 52], create an equation that equals 142. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 52 + 90 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6215, \"numbers\": [90, 52], \"target\": 142, \"expression\": \"52 + 90\"}"} | test | {"source_dataset": "countdown", "source_index": 6215, "numbers": [90, 52], "target": 142, "expression": "52 + 90"} | [
"To solve this problem, we need to combine the given numbers [90, 52] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 142. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 142.\n2... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
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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 [71, 5], create an equation that equals 355. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 5*71 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6113, \"numbers\": [71, 5], \"target\": 355, \"expression\": \"5*71\"}"} | test | {"source_dataset": "countdown", "source_index": 6113, "numbers": [71, 5], "target": 355, "expression": "5*71"} | [
"To solve this problem, we need to combine the given numbers [71, 5] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 355. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 71 and 5**: \n \\[\n 71 \\times 5 = 355... | [
false
] | [
""
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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 [28, 80], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 28 + 80 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5296, \"numbers\": [28, 80], \"target\": 108, \"expression\": \"28 + 80\"}"} | test | {"source_dataset": "countdown", "source_index": 5296, "numbers": [28, 80], "target": 108, "expression": "28 + 80"} | [
"To solve this problem, we need to use the numbers 28 and 80 from the given list and combine them using basic arithmetic operations to get the target number, which is 108. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 28 and 80**:\n - First, multiply these two numbers together.\n ... | [
false
] | [
""
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false
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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 [79, 59], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 59 + 79 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5457, \"numbers\": [79, 59], \"target\": 138, \"expression\": \"59 + 79\"}"} | test | {"source_dataset": "countdown", "source_index": 5457, "numbers": [79, 59], "target": 138, "expression": "59 + 79"} | [
"To solve this problem, we need to combine the given numbers [79, 59] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 138. We will follow these steps:\n\n1. **Identify the goal**: The target is 138.\n2. **Consider possible combinations**: We... | [
false
] | [
""
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false
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"\\( 79 + 59 = 138 \\)"
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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 [3, 63], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*63 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6181, \"numbers\": [3, 63], \"target\": 189, \"expression\": \"3*63\"}"} | test | {"source_dataset": "countdown", "source_index": 6181, "numbers": [3, 63], "target": 189, "expression": "3*63"} | [
"To solve this problem, we need to use the numbers 3 and 63 from the given list to form an equation that equals 189. We will follow these steps:\n\n1. **Identify the goal**: The target number is 189.\n2. **Consider possible combinations**: Since we have two numbers (3 and 63), let's try different ways to combine th... | [
false
] | [
""
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false
] | [
"\\( 63 \\times 3 = 189 \\)"
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]
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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 [46, 17], create an equation that equals 782. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 46*17 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5778, \"numbers\": [46, 17], \"target\": 782, \"expression\": \"46*17\"}"} | test | {"source_dataset": "countdown", "source_index": 5778, "numbers": [46, 17], "target": 782, "expression": "46*17"} | [
"To solve this problem, we need to combine the given numbers [46, 17] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 782. We will follow these steps:\n\n1. **Multiply 46 and 17**:\n \\[\n 46 \\times 17 = 782\n \\]\n\nThis directly giv... | [
false
] | [
""
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false
] | [
"46 \\times 17"
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[
false
]
] | [
[
"46 \\times 17"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "46 \\times 17", "context": "\\boxed{46 \\times 17}", "end_line": 11, "end_pos": 475, "start_line": 11, "start_pos": 454}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": ... | [{"value": "[{'answer_block': '46 \\\\times 17', 'error': 'Could not evaluate expression', 'final_answer': None, 'is_correct': False}]"}] | {
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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 [22, 78], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 22 + 78 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5005, \"numbers\": [22, 78], \"target\": 100, \"expression\": \"22 + 78\"}"} | test | {"source_dataset": "countdown", "source_index": 5005, "numbers": [22, 78], "target": 100, "expression": "22 + 78"} | [
"To solve this problem, we need to use the numbers 22 and 78 from the given list and combine them using basic arithmetic operations to get the target number, which is 100. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 22 and 78**:\n - First, multiply these two numbers together.\n ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"No valid combination found within the constraints provided."
] | {"all_spans_summary": [{"answer": "No valid combination found within the constraints provided.", "context": "Line 29 inside <answer> tags", "end_line": 29, "start_line": 29}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answer": "No valid combination found within the c... | [{"answer_block": "No valid combination found within the constraints provided.", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false, "method": null, "reason": null}] | [
[
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[
"No valid combination found within the constraints provided."
]
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... | 2025-09-04 |
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 [34, 11], create an equation that equals 374. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 34*11 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6611, \"numbers\": [34, 11], \"target\": 374, \"expression\": \"34*11\"}"} | test | {"source_dataset": "countdown", "source_index": 6611, "numbers": [34, 11], "target": 374, "expression": "34*11"} | [
"To solve this problem, we need to combine the given numbers [34, 11] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 374. We will follow these steps:\n\n1. **Multiply 34 and 11**:\n \\[\n 34 \\times 11 = 374\n \\]\n\nThis directly giv... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"34 \\times 11"
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[
false
]
] | [
[
"34 \\times 11"
]
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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 [93, 57], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 57 + 93 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5125, \"numbers\": [93, 57], \"target\": 150, \"expression\": \"57 + 93\"}"} | test | {"source_dataset": "countdown", "source_index": 5125, "numbers": [93, 57], "target": 150, "expression": "57 + 93"} | [
"To solve this problem, we need to combine the given numbers [93, 57] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 150. We will follow these steps:\n\n1. **Identify possible combinations**: We start by considering different ways to combin... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
null
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[]
] | [
[]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [], "total_internal_spans": 0, "total_spans": 0} | [{"value": "[]"}] | {
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... | 2025-09-04 |
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 [95, 83], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 95 + 83 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6809, \"numbers\": [95, 83], \"target\": 178, \"expression\": \"95 + 83\"}"} | test | {"source_dataset": "countdown", "source_index": 6809, "numbers": [95, 83], "target": 178, "expression": "95 + 83"} | [
"To solve this problem, we need to combine the given numbers [95, 83] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 178. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 178.\n2... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"(95 * 83) - 605 + 178 = 178"
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[
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[
"(95 * 83) - 605 + 178 = 178"
]
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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 [83, 46], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 46 + 83 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5254, \"numbers\": [83, 46], \"target\": 129, \"expression\": \"46 + 83\"}"} | test | {"source_dataset": "countdown", "source_index": 5254, "numbers": [83, 46], "target": 129, "expression": "46 + 83"} | [
"To solve this problem, we need to combine the given numbers [83, 46] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 129. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 129.\n2... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
true
] | [
"83 + 46 = 129"
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[
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] | [
[
"83 + 46 = 129"
]
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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 [30, 98], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 98 + 30 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5104, \"numbers\": [30, 98], \"target\": 128, \"expression\": \"98 + 30\"}"} | test | {"source_dataset": "countdown", "source_index": 5104, "numbers": [30, 98], "target": 128, "expression": "98 + 30"} | [
"To solve for 128 using the numbers 30 and 98 with each number used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 128. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 30 and 98.\n2. **... | [
false
] | [
""
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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 [82, 94], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 82 + 94 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6417, \"numbers\": [82, 94], \"target\": 176, \"expression\": \"82 + 94\"}"} | test | {"source_dataset": "countdown", "source_index": 6417, "numbers": [82, 94], "target": 176, "expression": "82 + 94"} | [
"To solve this problem, we need to use the numbers 82 and 94 from the given list to achieve the target number 176 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: We want to get the result as 176.\n2. **Consider Multiplication and Addition/... | [
false
] | [
""
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true
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"82 + 94"
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[
true
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[
"82 + 94"
]
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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 [79, 43], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 79 + 43 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5603, \"numbers\": [79, 43], \"target\": 122, \"expression\": \"79 + 43\"}"} | test | {"source_dataset": "countdown", "source_index": 5603, "numbers": [79, 43], "target": 122, "expression": "79 + 43"} | [
"To solve this problem, we need to use the numbers 79 and 43 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number, which is 122.\n\nHere’s how we can approach it:\n\n1. **Identify the target**: We want to achieve the result of 122.\n2. **Consider possible ... | [
false
] | [
""
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false
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[
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[
"No valid equation exists under the given constraints."
]
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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 [14, 61], create an equation that equals 854. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*61 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5868, \"numbers\": [14, 61], \"target\": 854, \"expression\": \"14*61\"}"} | test | {"source_dataset": "countdown", "source_index": 5868, "numbers": [14, 61], "target": 854, "expression": "14*61"} | [
"To solve this problem, we need to combine the given numbers [14, 61] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 854. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begin with 14.\n ... | [
false
] | [
""
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false
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"(14 + 61) \\times 11 - 29"
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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 [89, 50], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 50 + 89 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6381, \"numbers\": [89, 50], \"target\": 139, \"expression\": \"50 + 89\"}"} | test | {"source_dataset": "countdown", "source_index": 6381, "numbers": [89, 50], "target": 139, "expression": "50 + 89"} | [
"To solve for the target number 139 using the given numbers 89 and 50, we need to find a combination of addition, subtraction, multiplication, and division that will result in 139 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
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"\\( 89 + 50 = 139 \\)"
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[
false
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[
"\\( 89 + 50 = 139 \\)"
]
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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 [56, 78], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 56 + 78 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5118, \"numbers\": [56, 78], \"target\": 134, \"expression\": \"56 + 78\"}"} | test | {"source_dataset": "countdown", "source_index": 5118, "numbers": [56, 78], "target": 134, "expression": "56 + 78"} | [
"To solve this problem, we need to combine the given numbers [56, 78] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 134. We will follow these steps:\n\n1. **Multiply 56 and 78**:\n \\[\n 56 \\times 78 = 4368\n \\]\n\n2. **Divide the ... | [
false
] | [
""
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false
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[
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[
"\\(\\frac{56 \\times 78}{3}\\)"
]
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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 [56, 60], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 60 + 56 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6651, \"numbers\": [56, 60], \"target\": 116, \"expression\": \"60 + 56\"}"} | test | {"source_dataset": "countdown", "source_index": 6651, "numbers": [56, 60], "target": 116, "expression": "60 + 56"} | [
"To solve this problem, we need to use the numbers 56 and 60 from the given list and combine them using basic arithmetic operations to get the target number, which is 116. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 56 and 60**: \n \\[\n 56 \\times 60 = 3360\n \\]\n\n2. **Subtr... | [
false
] | [
""
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false
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null
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[]
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[]
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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 [8, 89], create an equation that equals 712. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 89*8 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6590, \"numbers\": [8, 89], \"target\": 712, \"expression\": \"89*8\"}"} | test | {"source_dataset": "countdown", "source_index": 6590, "numbers": [8, 89], "target": 712, "expression": "89*8"} | [
"To solve for the target number 712 using the given numbers 8 and 89, we need to find a combination of addition, subtraction, multiplication, and division that will result in 712 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 8 and 89**:\n \\[\n 8 ... | [
false
] | [
""
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false
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"8 \\times 89"
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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 [78, 57], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 78 + 57 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6570, \"numbers\": [78, 57], \"target\": 135, \"expression\": \"78 + 57\"}"} | test | {"source_dataset": "countdown", "source_index": 6570, "numbers": [78, 57], "target": 135, "expression": "78 + 57"} | [
"To solve this problem, we need to combine the given numbers [78, 57] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 135. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
true
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[
true
]
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"78 + 57"
]
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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 [38, 75], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 75 + 38 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5969, \"numbers\": [38, 75], \"target\": 113, \"expression\": \"75 + 38\"}"} | test | {"source_dataset": "countdown", "source_index": 5969, "numbers": [38, 75], "target": 113, "expression": "75 + 38"} | [
"To solve this problem, we need to use the numbers 38 and 75 from the given list to form an equation that equals 113. We will follow these steps:\n\n1. **Identify the goal**: We want to find an equation using the numbers 38 and 75 that equals 113.\n2. **Consider possible combinations**: Since we have two numbers, o... | [
false
] | [
""
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false
] | [
"\\( 38 + 75 \\)"
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[
false
]
] | [
[
"\\( 38 + 75 \\)"
]
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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 [99, 2], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 2 + 99 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6364, \"numbers\": [99, 2], \"target\": 101, \"expression\": \"2 + 99\"}"} | test | {"source_dataset": "countdown", "source_index": 6364, "numbers": [99, 2], "target": 101, "expression": "2 + 99"} | [
"To solve this problem, we need to use the numbers 99 and 2 exactly once to get the result 101 using basic arithmetic operations. Let's break down the process:\n\n1. **Identify the goal**: We want to achieve the sum of 101 with the given numbers.\n2. **Consider possible combinations**: Since we have two numbers (99... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"\\( 99 + 2 \\)"
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[
false
]
] | [
[
"\\( 99 + 2 \\)"
]
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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 [20, 36], create an equation that equals 720. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 20*36 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5260, \"numbers\": [20, 36], \"target\": 720, \"expression\": \"20*36\"}"} | test | {"source_dataset": "countdown", "source_index": 5260, "numbers": [20, 36], "target": 720, "expression": "20*36"} | [
"To solve for 720 using the numbers 20 and 36 with each number used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will yield 720. Let's break down the process:\n\n1. **Identify possible combinations**: We start by considering how these numbers might combine ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"\\(20 \\times 36 = 720\\)"
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]
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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 [89, 18], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 18 + 89 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6683, \"numbers\": [89, 18], \"target\": 107, \"expression\": \"18 + 89\"}"} | test | {"source_dataset": "countdown", "source_index": 6683, "numbers": [89, 18], "target": 107, "expression": "18 + 89"} | [
"To solve this problem, we need to use the numbers 89 and 18 from the given list to achieve the target number 107 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Addition**: Start with adding 89 and 18.\n - \\( 89 + 18 \\)\n\n2. **Multiplication**: Next, multi... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"\\( 107 = 107 \\)"
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[
false
]
] | [
[
"\\( 107 = 107 \\)"
]
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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 [96, 96], create an equation that equals 192. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 96 + 96 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6012, \"numbers\": [96, 96], \"target\": 192, \"expression\": \"96 + 96\"}"} | test | {"source_dataset": "countdown", "source_index": 6012, "numbers": [96, 96], "target": 192, "expression": "96 + 96"} | [
"To solve this problem, we need to use the numbers 96 and 96 exactly once and combine them using basic arithmetic operations to get the result 192. Let's break down the process:\n\n1. **Identify the goal**: We want to achieve the sum of 192 using the numbers 96 and 96.\n \n2. **Consider possible combinations**:\n... | [
false
] | [
""
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false
] | [
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[
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"\\(96 \\times 96 - 8324 + 70\\)"
]
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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 [97, 85], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 97 + 85 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5207, \"numbers\": [97, 85], \"target\": 182, \"expression\": \"97 + 85\"}"} | test | {"source_dataset": "countdown", "source_index": 5207, "numbers": [97, 85], "target": 182, "expression": "97 + 85"} | [
"To solve for the target number 182 using the given numbers 97 and 85, we need to find a combination of addition, subtraction, multiplication, and division that will result in 182 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to co... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
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[
false
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[
"\\(97 + 85 = 182\\)"
]
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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 [49, 79], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 79 + 49 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
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"To solve for 128 using the numbers 49 and 79 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 128. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 128 from the nu... | [
false
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""
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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 [96, 46], create an equation that equals 142. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 96 + 46 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5505, \"numbers\": [96, 46], \"target\": 142, \"expression\": \"96 + 46\"}"} | test | {"source_dataset": "countdown", "source_index": 5505, "numbers": [96, 46], "target": 142, "expression": "96 + 46"} | [
"To solve this problem, we need to combine the given numbers [96, 46] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 142. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 142.\n2... | [
false
] | [
""
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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 [91, 56], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 91 + 56 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5328, \"numbers\": [91, 56], \"target\": 147, \"expression\": \"91 + 56\"}"} | test | {"source_dataset": "countdown", "source_index": 5328, "numbers": [91, 56], "target": 147, "expression": "91 + 56"} | [
"To solve this problem, we need to use the numbers 91 and 56 from the given list to form an equation that equals 147 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 147.\n2. **Consider Possible Operations**:\n ... | [
false
] | [
""
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"91 + 56 = 147"
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[
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]
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"91 + 56 = 147"
]
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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 [96, 90], create an equation that equals 186. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 90 + 96 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6171, \"numbers\": [96, 90], \"target\": 186, \"expression\": \"90 + 96\"}"} | test | {"source_dataset": "countdown", "source_index": 6171, "numbers": [96, 90], "target": 186, "expression": "90 + 96"} | [
"To solve this problem, we need to combine the given numbers [96, 90] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 186. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 186.\n2... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
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[
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"((96 * 90) / 5) - 1 + 1"
]
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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 [72, 71], create an equation that equals 143. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 71 + 72 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6001, \"numbers\": [72, 71], \"target\": 143, \"expression\": \"71 + 72\"}"} | test | {"source_dataset": "countdown", "source_index": 6001, "numbers": [72, 71], "target": 143, "expression": "71 + 72"} | [
"To solve this problem, we need to use the numbers 72 and 71 from the given list to achieve the target number 143 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 143.\n2. **Consider Possible Operations**:\n - ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
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"No valid equation found within the given constraints."
]
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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 [34, 28], create an equation that equals 952. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 34*28 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6223, \"numbers\": [34, 28], \"target\": 952, \"expression\": \"34*28\"}"} | test | {"source_dataset": "countdown", "source_index": 6223, "numbers": [34, 28], "target": 952, "expression": "34*28"} | [
"To solve for 952 using the numbers 34 and 28 with basic arithmetic operations, we need to find a combination that will yield the result. Let's break down the process:\n\n1. **Identify the goal**: We want to get 952.\n2. **Consider possible combinations**: Since we have two numbers (34 and 28), one approach might i... | [
false
] | [
""
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false
] | [
"\\( 34 \\times 28 = 952 \\)"
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[
"\\( 34 \\times 28 = 952 \\)"
]
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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 [97, 71], create an equation that equals 168. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 97 + 71 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5843, \"numbers\": [97, 71], \"target\": 168, \"expression\": \"97 + 71\"}"} | test | {"source_dataset": "countdown", "source_index": 5843, "numbers": [97, 71], "target": 168, "expression": "97 + 71"} | [
"To solve this problem, we need to use the numbers 97 and 71 from the given list and combine them using basic arithmetic operations to get the target number, which is 168. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 97 and 71**:\n - First, multiply these two numbers together.\n \... | [
false
] | [
""
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false
] | [
"\\( (97 \\times 71) - 50 \\div 42 \\)"
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[
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] | [
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"\\( (97 \\times 71) - 50 \\div 42 \\)"
]
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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 [6, 40], create an equation that equals 240. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 40*6 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6438, \"numbers\": [6, 40], \"target\": 240, \"expression\": \"40*6\"}"} | test | {"source_dataset": "countdown", "source_index": 6438, "numbers": [6, 40], "target": 240, "expression": "40*6"} | [
"To solve this problem, we need to use the numbers 6 and 40 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number, which is 240.\n\nHere’s how we can approach it:\n\n1. **Multiply 6 and 40**: This will give us a large number.\n - Step 1: \\( 6 \\times 40 ... | [
false
] | [
""
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false
] | [
"\\( 6 \\times 40 = 240 \\)"
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[
"\\( 6 \\times 40 = 240 \\)"
]
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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 [96, 51], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 96 + 51 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
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"To solve for the target number 147 using the given numbers 96 and 51, we need to find a combination of addition, subtraction, multiplication, and division that will result in 147. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: We want to achieve 147.\n2. **Consider... | [
false
] | [
""
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false
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"(96 - 51) + (96 + 51) = 147"
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"(96 - 51) + (96 + 51) = 147"
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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 [11, 66], create an equation that equals 726. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 11*66 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6375, \"numbers\": [11, 66], \"target\": 726, \"expression\": \"11*66\"}"} | test | {"source_dataset": "countdown", "source_index": 6375, "numbers": [11, 66], "target": 726, "expression": "11*66"} | [
"To solve this problem, we need to combine the given numbers [11, 66] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 726. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 11 and 66**:\n - First, multiply the two... | [
false
] | [
""
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[
false
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[
"11 \\times 66"
]
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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 [14, 16], create an equation that equals 224. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 16*14 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5974, \"numbers\": [14, 16], \"target\": 224, \"expression\": \"16*14\"}"} | test | {"source_dataset": "countdown", "source_index": 5974, "numbers": [14, 16], "target": 224, "expression": "16*14"} | [
"To solve this problem, we need to use the numbers 14 and 16 from the given list to achieve the target number 224 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 14 and 16**:\n \\[\n 14 \\times 16 = 224\n \\]\n\nThis multiplication directly gives ... | [
false
] | [
""
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[
false
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[
"14 \\times 16"
]
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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 [14, 10], create an equation that equals 140. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 10*14 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5469, \"numbers\": [14, 10], \"target\": 140, \"expression\": \"10*14\"}"} | test | {"source_dataset": "countdown", "source_index": 5469, "numbers": [14, 10], "target": 140, "expression": "10*14"} | [
"To solve this problem, we need to use the numbers 14 and 10 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 140. Let's break down the process:\n\n1. **Identify the target**: We want to achieve the result of 140.\n2. **Consider possible combinations**... | [
false
] | [
""
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false
] | [
"\\( 14 \\times 10 = 140 \\)"
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[
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]
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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 [89, 48], create an equation that equals 137. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 89 + 48 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5766, \"numbers\": [89, 48], \"target\": 137, \"expression\": \"89 + 48\"}"} | test | {"source_dataset": "countdown", "source_index": 5766, "numbers": [89, 48], "target": 137, "expression": "89 + 48"} | [
"To solve for the target number 137 using the given numbers 89 and 48, we need to find a combination of addition, subtraction, multiplication, and division that will result in 137 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have tw... | [
false
] | [
""
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false
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"\\( 4272 - 48 - 32 + 5 = 137 \\)"
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"\\( 4272 - 48 - 32 + 5 = 137 \\)"
]
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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 [71, 78], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 78 + 71 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6464, \"numbers\": [71, 78], \"target\": 149, \"expression\": \"78 + 71\"}"} | test | {"source_dataset": "countdown", "source_index": 6464, "numbers": [71, 78], "target": 149, "expression": "78 + 71"} | [
"To solve this problem, we need to use the numbers 71 and 78 from the given list to achieve the target number 149 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 149.\n2. **Consider Possible Operations**:\n - ... | [
false
] | [
""
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false
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"71 * 78 + 71 + 78 = 149"
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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 [2, 83], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 83*2 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5115, \"numbers\": [2, 83], \"target\": 166, \"expression\": \"83*2\"}"} | test | {"source_dataset": "countdown", "source_index": 5115, "numbers": [2, 83], "target": 166, "expression": "83*2"} | [
"To solve this problem, we need to use the numbers 2 and 83 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number, which is 166.\n\nHere’s how we can approach it:\n\n1. **Identify the goal**: We want to end up with 166.\n2. **Consider possible combinations*... | [
false
] | [
""
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false
] | [
"\\( 83 \\times 2 = 166 \\)"
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]
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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 [42, 81], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 42 + 81 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5781, \"numbers\": [42, 81], \"target\": 123, \"expression\": \"42 + 81\"}"} | test | {"source_dataset": "countdown", "source_index": 5781, "numbers": [42, 81], "target": 123, "expression": "42 + 81"} | [
"To solve this problem, we need to use the numbers 42 and 81 from the given list and combine them using basic arithmetic operations to get the target number 123. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 42 and 81**:\n - First, multiply these two numbers together.\n \\[\n 42 ... | [
false
] | [
""
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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 [61, 69], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 69 + 61 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6578, \"numbers\": [61, 69], \"target\": 130, \"expression\": \"69 + 61\"}"} | test | {"source_dataset": "countdown", "source_index": 6578, "numbers": [61, 69], "target": 130, "expression": "69 + 61"} | [
"To solve this problem, we need to use the numbers 61 and 69 from the given list to achieve the target number 130 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 61 and 69**:\n - First, multiply these two numbers together.\n \\[\n 61 \\times 6... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
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[
false
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]
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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 [50, 17], create an equation that equals 850. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 17*50 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5199, \"numbers\": [50, 17], \"target\": 850, \"expression\": \"17*50\"}"} | test | {"source_dataset": "countdown", "source_index": 5199, "numbers": [50, 17], "target": 850, "expression": "17*50"} | [
"To solve this problem, we need to combine the given numbers [50, 17] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 850. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begin with 50.\n ... | [
false
] | [
""
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false
] | [
"\\( 50 + 17 = 67 \\)\n\\( 67 * 10 = 670 \\)\n\\( 670 - 17 = 653 \\)\n\\( 653 + 100 = 753 \\)\n\\( 753 + 100 = 853 \\)"
] | {"all_spans_summary": [{"answer": "\\( 50 + 17 = 67 \\)\n\\( 67 * 10 = 670 \\)\n\\( 670 - 17 = 653 \\)\n\\( 653 + 100 = 753 \\)\n\\( 753 + 100 = 853 \\)", "context": "final equation would involve combining these steps creatively:", "end_line": 63, "start_line": 59}], "empty_response": false, "error": null, "extraction_... | [{"answer_block": "\\( 50 + 17 = 67 \\)\n\\( 67 * 10 = 670 \\)\n\\( 670 - 17 = 653 \\)\n\\( 653 + 100 = 753 \\)\n\\( 753 + 100 = 853 \\)", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false, "method": null, "reason": null}] | [
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[
"\\( 50 + 17 = 67 \\)\n\\( 67 * 10 = 670 \\)\n\\( 670 - 17 = 653 \\)\n\\( 653 + 100 = 753 \\)\n\\( 753 + 100 = 853 \\)"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 50 + 17 = 67 \\)\n\\( 67 * 10 = 670 \\)\n\\( 670 - 17 = 653 \\)\n\\( 653 + 100 = 753 \\)\n\\( 753 + 100 = 853 \\)", "context": "final equation would involve combining these steps creatively:", "end_lin... | [{"value": "[{'answer_block': '\\\\( 50 + 17 = 67 \\\\)\\n\\\\( 67 * 10 = 670 \\\\)\\n\\\\( 670 - 17 = 653 \\\\)\\n\\\\( 653 + 100 = 753 \\\\)\\n\\\\( 753 + 100 = 853 \\\\)', 'error': 'Could not evaluate expression', 'final_answer': None, 'is_correct': False}]"}] | {
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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 [87, 7], create an equation that equals 609. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 7*87 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6162, \"numbers\": [87, 7], \"target\": 609, \"expression\": \"7*87\"}"} | test | {"source_dataset": "countdown", "source_index": 6162, "numbers": [87, 7], "target": 609, "expression": "7*87"} | [
"To solve this problem, we need to use the numbers 87 and 7 exactly once to get the result 609 using basic arithmetic operations. Let's break down the process:\n\n1. **Identify the goal**: We want to achieve the sum of 609 using the given numbers.\n2. **Consider possible combinations**: Since we have two numbers (8... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"Step 1: 7 * 7 = 49\nStep 2: 87 + 49 = 136\nStep 3: 136 * 4 = 544\nStep 4: 544 + 65 = 609"
] | {"all_spans_summary": [{"answer": "Step 1: 7 * 7 = 49\nStep 2: 87 + 49 = 136\nStep 3: 136 * 4 = 544\nStep 4: 544 + 65 = 609", "context": "<answer> Step 1: 7 * 7 = 49 ... Step 4: 544 + 65 = 609 </answer>", "end_line": 17, "start_line": 14}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "fina... | [{"answer_block": "Step 1: 7 * 7 = 49\nStep 2: 87 + 49 = 136\nStep 3: 136 * 4 = 544\nStep 4: 544 + 65 = 609", "error": "Line uses unavailable numbers: Step 1: 7 * 7 = 49", "final_answer": 49.0, "is_correct": false, "method": null, "reason": null}] | [
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] | [
[
"Step 1: 7 * 7 = 49\nStep 2: 87 + 49 = 136\nStep 3: 136 * 4 = 544\nStep 4: 544 + 65 = 609"
]
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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 [5, 24], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 24*5 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5891, \"numbers\": [5, 24], \"target\": 120, \"expression\": \"24*5\"}"} | test | {"source_dataset": "countdown", "source_index": 5891, "numbers": [5, 24], "target": 120, "expression": "24*5"} | [
"To solve this problem, we need to use the numbers 5 and 24 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number, which is 120.\n\nHere’s how we can do it:\n\n1. **Multiply 5 and 24**: This gives us \\( 5 \\times 24 = 120 \\).\n\nSo, the equation would be:... | [
false
] | [
""
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false
] | [
"\\( (5 \\times 24) = 120 \\)"
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]
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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 [95, 29], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 95 + 29 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6249, \"numbers\": [95, 29], \"target\": 124, \"expression\": \"95 + 29\"}"} | test | {"source_dataset": "countdown", "source_index": 6249, "numbers": [95, 29], "target": 124, "expression": "95 + 29"} | [
"To solve this problem, we need to use the numbers 95 and 29 from the given list and combine them using basic arithmetic operations to get the target number, which is 124. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 95 and 29**:\n - First, multiply these two numbers together.\n ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
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"\\( 95 + 29 = 124 \\)"
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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 [99, 14], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 99 + 14 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5790, \"numbers\": [99, 14], \"target\": 113, \"expression\": \"99 + 14\"}"} | test | {"source_dataset": "countdown", "source_index": 5790, "numbers": [99, 14], "target": 113, "expression": "99 + 14"} | [
"To solve this problem, we need to use the numbers 99 and 14 from the given list to achieve the target number 113 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 99 and 14**:\n - First, multiply 99 by 14.\n \\[\n 99 \\times 14 = 1386\n \\]... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"No valid solution found with the given numbers and operations."
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"No valid solution found with the given numbers and operations."
]
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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 [61, 3], create an equation that equals 183. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*61 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5164, \"numbers\": [61, 3], \"target\": 183, \"expression\": \"3*61\"}"} | test | {"source_dataset": "countdown", "source_index": 5164, "numbers": [61, 3], "target": 183, "expression": "3*61"} | [
"To solve this problem, we need to use the numbers 61 and 3 from the given list to achieve the target number 183 using basic arithmetic operations. Let's break down the process:\n\n1. **Identify the goal**: We want to get 183.\n2. **Consider possible combinations**: Since we have two numbers (61 and 3), let's try d... | [
false
] | [
""
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false
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"\\( 61 \\times 3 = 183 \\)"
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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 [73, 63], create an equation that equals 136. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 63 + 73 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6155, \"numbers\": [73, 63], \"target\": 136, \"expression\": \"63 + 73\"}"} | test | {"source_dataset": "countdown", "source_index": 6155, "numbers": [73, 63], "target": 136, "expression": "63 + 73"} | [
"To solve this problem, we need to combine the given numbers [73, 63] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 136. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 136.\n2... | [
false
] | [
""
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false
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"\\(73 + 63 = 136\\)"
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[
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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 [46, 66], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 66 + 46 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6592, \"numbers\": [46, 66], \"target\": 112, \"expression\": \"66 + 46\"}"} | test | {"source_dataset": "countdown", "source_index": 6592, "numbers": [46, 66], "target": 112, "expression": "66 + 46"} | [
"To solve this problem, we need to use the numbers 46 and 66 from the given list to form an equation that equals 112. We will follow these steps:\n\n1. **Identify the goal**: The target number is 112.\n2. **Consider possible combinations**: Since we have two numbers (46 and 66), let's try different ways to combine ... | [
false
] | [
""
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false
] | [
"\\(46 + 66 = 112\\)"
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[
false
]
] | [
[
"\\(46 + 66 = 112\\)"
]
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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 [96, 19], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 96 + 19 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6634, \"numbers\": [96, 19], \"target\": 115, \"expression\": \"96 + 19\"}"} | test | {"source_dataset": "countdown", "source_index": 6634, "numbers": [96, 19], "target": 115, "expression": "96 + 19"} | [
"To solve this problem, we need to use the numbers 96 and 19 from the given list to achieve the target number 115 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 96 and 19**:\n \\[\n 96 \\times 19 = 1824\n \\]\n\n2. **Subtract 1824 from 115**:\n ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"\\( (96 + 19) \\)"
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[
false
]
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]
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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 [94, 95], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 95 + 94 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5105, \"numbers\": [94, 95], \"target\": 189, \"expression\": \"95 + 94\"}"} | test | {"source_dataset": "countdown", "source_index": 5105, "numbers": [94, 95], "target": 189, "expression": "95 + 94"} | [
"To solve this problem, we need to use the numbers 94 and 95 from the given list to achieve the target number 189 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 94 and 95**:\n - First, multiply these two numbers together.\n \\[\n 94 \\times 9... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
true
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"(94 + 95)"
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[
true
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] | [
[
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]
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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 [75, 29], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 29 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5949, \"numbers\": [75, 29], \"target\": 104, \"expression\": \"29 + 75\"}"} | test | {"source_dataset": "countdown", "source_index": 5949, "numbers": [75, 29], "target": 104, "expression": "29 + 75"} | [
"To solve this problem, we need to use the numbers 75 and 29 from the given list to achieve the target number 104 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 75 and 29**:\n - First, multiply the two numbers together.\n \\[\n 75 \\times 29 = 21... | [
false
] | [
""
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false
] | [
"\\( 2175 - 1155 = 1020 \\)"
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[
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] | [
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"\\( 2175 - 1155 = 1020 \\)"
]
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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 [94, 79], create an equation that equals 173. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 79 + 94 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5206, \"numbers\": [94, 79], \"target\": 173, \"expression\": \"79 + 94\"}"} | test | {"source_dataset": "countdown", "source_index": 5206, "numbers": [94, 79], "target": 173, "expression": "79 + 94"} | [
"To solve for 173 using the numbers 94 and 79 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 173. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 94 and 79.\... | [
false
] | [
""
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false
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[
false
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[
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]
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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 [100, 55], create an equation that equals 155. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 55 + 100 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5794, \"numbers\": [100, 55], \"target\": 155, \"expression\": \"55 + 100\"}"} | test | {"source_dataset": "countdown", "source_index": 5794, "numbers": [100, 55], "target": 155, "expression": "55 + 100"} | [
"To solve this problem, we need to combine the given numbers [100, 55] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 155. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Addition**: Start with adding one of the numbers t... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"\\( 100 + 55 \\)"
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[
false
]
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[
"\\( 100 + 55 \\)"
]
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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 [89, 65], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 89 + 65 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
},
{
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"To solve this problem, we need to combine the given numbers [89, 65] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 154. We will follow these steps:\n\n1. **Identify the goal**: The target is 154.\n2. **Consider possible combinations**: We... | [
false
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""
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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 [27, 76], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 76 + 27 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5063, \"numbers\": [27, 76], \"target\": 103, \"expression\": \"76 + 27\"}"} | test | {"source_dataset": "countdown", "source_index": 5063, "numbers": [27, 76], "target": 103, "expression": "76 + 27"} | [
"To solve this problem, we need to use the numbers 27 and 76 from the given list to achieve the target number 103 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 27 and 76**:\n - First, multiply these two numbers together.\n \\[\n 27 \\times 76 = ... | [
false
] | [
""
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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 [63, 37], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 63 + 37 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6448, \"numbers\": [63, 37], \"target\": 100, \"expression\": \"63 + 37\"}"} | test | {"source_dataset": "countdown", "source_index": 6448, "numbers": [63, 37], "target": 100, "expression": "63 + 37"} | [
"To solve this problem, we need to use the numbers 63 and 37 from the given list to achieve the target number 100 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Addition**: Start with adding these two numbers together.\n - \\( 63 + 37 \\)\n\n2. **Result**: Th... | [
false
] | [
""
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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 [49, 74], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 49 + 74 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5038, \"numbers\": [49, 74], \"target\": 123, \"expression\": \"49 + 74\"}"} | test | {"source_dataset": "countdown", "source_index": 5038, "numbers": [49, 74], "target": 123, "expression": "49 + 74"} | [
"To solve this problem, we need to use the numbers 49 and 74 from the given list and combine them using basic arithmetic operations to get the target number 123. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two numbers: 49 and 74.\n2. **Consider Possible Operati... | [
false
] | [
""
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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 [23, 40], create an equation that equals 920. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 40*23 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5358, \"numbers\": [23, 40], \"target\": 920, \"expression\": \"40*23\"}"} | test | {"source_dataset": "countdown", "source_index": 5358, "numbers": [23, 40], "target": 920, "expression": "40*23"} | [
"To solve for 920 using the numbers 23 and 40 with basic arithmetic operations, we need to find a combination that will yield the result. Let's break down the process:\n\n1. **Identify the goal**: We want to get 920.\n2. **Consider possible combinations**: Since we have two numbers (23 and 40), one approach might i... | [
false
] | [
""
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false
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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 [91, 2], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 2*91 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6574, \"numbers\": [91, 2], \"target\": 182, \"expression\": \"2*91\"}"} | test | {"source_dataset": "countdown", "source_index": 6574, "numbers": [91, 2], "target": 182, "expression": "2*91"} | [
"To solve this problem, we need to use the numbers 91 and 2 from the given list to achieve the target number 182 using basic arithmetic operations. Let's break down the process:\n\n1. **Identify the target**: We want to get 182.\n2. **Consider possible combinations**: Since we have two numbers (91 and 2), let's try... | [
false
] | [
""
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false
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"\\( 91 \\times 2 = 182 \\)"
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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 [11, 85], create an equation that equals 935. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 11*85 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5776, \"numbers\": [11, 85], \"target\": 935, \"expression\": \"11*85\"}"} | test | {"source_dataset": "countdown", "source_index": 5776, "numbers": [11, 85], "target": 935, "expression": "11*85"} | [
"To solve this problem, we need to combine the given numbers [11, 85] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 935. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is ... | [
false
] | [
""
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false
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"\\(85 \\times 10 + 11 + 74 = 935\\)"
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]
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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 [100, 3], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 100 + 3 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5092, \"numbers\": [100, 3], \"target\": 103, \"expression\": \"100 + 3\"}"} | test | {"source_dataset": "countdown", "source_index": 5092, "numbers": [100, 3], "target": 103, "expression": "100 + 3"} | [
"To solve this problem, we need to use the numbers 100 and 3 from the given list to achieve the target number 103 using basic arithmetic operations. Let's break down the process:\n\n1. **Identify the target**: We want to get 103.\n2. **Consider possible combinations**: Since we have two numbers (100 and 3), one app... | [
false
] | [
""
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false
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false
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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 [23, 100], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 23 + 100 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</answer>",
"role": "system"
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{
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"To solve this problem, we need to use the numbers 23 and 100 from the given list and combine them using basic arithmetic operations to get the target number 123. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 23 and 100**: \n - This will give us \\( 23 \\times 100 = 2300 \\).\n\n2. *... | [
false
] | [
""
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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 [78, 91], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 78 + 91 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5647, \"numbers\": [78, 91], \"target\": 169, \"expression\": \"78 + 91\"}"} | test | {"source_dataset": "countdown", "source_index": 5647, "numbers": [78, 91], "target": 169, "expression": "78 + 91"} | [
"To solve for 169 using the numbers 78 and 91 with each number used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 169. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: We want to achieve 169.\n2.... | [
false
] | [
""
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false
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"\\( (78 \\times 2) + 113 - 100 = 169 \\)"
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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 [39, 6], create an equation that equals 234. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 39*6 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6468, \"numbers\": [39, 6], \"target\": 234, \"expression\": \"39*6\"}"} | test | {"source_dataset": "countdown", "source_index": 6468, "numbers": [39, 6], "target": 234, "expression": "39*6"} | [
"To solve this problem, we need to combine the given numbers [39, 6] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 234. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begin with 39.\n ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
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[]
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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 [99, 4], create an equation that equals 396. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 99*4 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6234, \"numbers\": [99, 4], \"target\": 396, \"expression\": \"99*4\"}"} | test | {"source_dataset": "countdown", "source_index": 6234, "numbers": [99, 4], "target": 396, "expression": "99*4"} | [
"To solve this problem, we need to combine the given numbers [99, 4] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 396. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 99 by 4**:\n \\[\n 99 \\times 4 = 396\n... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
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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 [87, 61], create an equation that equals 148. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 61 + 87 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6374, \"numbers\": [87, 61], \"target\": 148, \"expression\": \"61 + 87\"}"} | test | {"source_dataset": "countdown", "source_index": 6374, "numbers": [87, 61], "target": 148, "expression": "61 + 87"} | [
"To solve this problem, we need to combine the given numbers [87, 61] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 148. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** \n - We begin with... | [
false
] | [
""
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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 [6, 78], create an equation that equals 468. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 6*78 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5936, \"numbers\": [6, 78], \"target\": 468, \"expression\": \"6*78\"}"} | test | {"source_dataset": "countdown", "source_index": 5936, "numbers": [6, 78], "target": 468, "expression": "6*78"} | [
"To solve this problem, we need to combine the given numbers [6, 78] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 468. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 4... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
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"78 \\times 6 = 468"
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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 [72, 61], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 72 + 61 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6077, \"numbers\": [72, 61], \"target\": 133, \"expression\": \"72 + 61\"}"} | test | {"source_dataset": "countdown", "source_index": 6077, "numbers": [72, 61], "target": 133, "expression": "72 + 61"} | [
"To solve this problem, we need to use the numbers 72 and 61 from the given list and combine them using basic arithmetic operations to get the target number, which is 133. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 133.\n2. **Consider Possib... | [
false
] | [
""
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false
] | [
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]
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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 [66, 14], create an equation that equals 924. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*66 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5109, \"numbers\": [66, 14], \"target\": 924, \"expression\": \"14*66\"}"} | test | {"source_dataset": "countdown", "source_index": 5109, "numbers": [66, 14], "target": 924, "expression": "14*66"} | [
"To solve for 924 using the numbers 66 and 14, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 924. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 924.\n2. **Consider... | [
false
] | [
""
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false
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"\\( 66 \\times 14 = 924 \\)"
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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 [13, 65], create an equation that equals 845. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 13*65 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5673, \"numbers\": [13, 65], \"target\": 845, \"expression\": \"13*65\"}"} | test | {"source_dataset": "countdown", "source_index": 5673, "numbers": [13, 65], "target": 845, "expression": "13*65"} | [
"To solve this problem, we need to combine the given numbers [13, 65] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 845. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"65 \\times 13"
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[
false
]
] | [
[
"65 \\times 13"
]
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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 [66, 5], create an equation that equals 330. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 66*5 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5721, \"numbers\": [66, 5], \"target\": 330, \"expression\": \"66*5\"}"} | test | {"source_dataset": "countdown", "source_index": 5721, "numbers": [66, 5], "target": 330, "expression": "66*5"} | [
"To solve this problem, we need to use the numbers 66 and 5 exactly once to get the result of 330 using basic arithmetic operations. Let's break down the process:\n\n1. **Identify the goal**: We want to achieve the sum of 330 using the given numbers.\n2. **Consider possible combinations**: Since we have two numbers... | [
false
] | [
""
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false
] | [
"\\( 66 \\times 5 = 330 \\)"
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[
false
]
] | [
[
"\\( 66 \\times 5 = 330 \\)"
]
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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 [17, 33], create an equation that equals 561. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33*17 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6405, \"numbers\": [17, 33], \"target\": 561, \"expression\": \"33*17\"}"} | test | {"source_dataset": "countdown", "source_index": 6405, "numbers": [17, 33], "target": 561, "expression": "33*17"} | [
"To solve for 561 using the numbers 17 and 33 with basic arithmetic operations, we need to find a combination that will yield this result. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 17 and 33**:\n \\[\n 17 \\times 33 = 561\n \\]\n\nThis multiplication directly gives us the tar... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"17 \\times 33"
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[
false
]
] | [
[
"17 \\times 33"
]
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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 [38, 9], create an equation that equals 342. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 9*38 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6789, \"numbers\": [38, 9], \"target\": 342, \"expression\": \"9*38\"}"} | test | {"source_dataset": "countdown", "source_index": 6789, "numbers": [38, 9], "target": 342, "expression": "9*38"} | [
"To solve this problem, we need to combine the given numbers [38, 9] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 342. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begin with 38.\n ... | [
false
] | [
""
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false
] | [
"\\( 38 + 9 * 7 - 1 + 4 + 10 \\)"
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[
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"\\( 38 + 9 * 7 - 1 + 4 + 10 \\)"
]
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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 [78, 68], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 68 + 78 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5434, \"numbers\": [78, 68], \"target\": 146, \"expression\": \"68 + 78\"}"} | test | {"source_dataset": "countdown", "source_index": 5434, "numbers": [78, 68], "target": 146, "expression": "68 + 78"} | [
"To solve this problem, we need to combine the given numbers [78, 68] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 146. We will follow these steps:\n\n1. **Identify the goal**: The target is 146.\n2. **Consider possible combinations**: We... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
true
] | [
"78 + 68 = 146"
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[
true
]
] | [
[
"78 + 68 = 146"
]
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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 [58, 17], create an equation that equals 986. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 58*17 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5817, \"numbers\": [58, 17], \"target\": 986, \"expression\": \"58*17\"}"} | test | {"source_dataset": "countdown", "source_index": 5817, "numbers": [58, 17], "target": 986, "expression": "58*17"} | [
"To solve for 986 using the numbers 58 and 17, we need to find a combination of addition, subtraction, multiplication, and division that will result in 986. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to get from 0 to 986.\n2. **Start with the largest possible num... | [
false
] | [
""
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false
] | [
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[
false
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[
"(17 \\times 57) - 3"
]
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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 [54, 97], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 97 + 54 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5153, \"numbers\": [54, 97], \"target\": 151, \"expression\": \"97 + 54\"}"} | test | {"source_dataset": "countdown", "source_index": 5153, "numbers": [54, 97], "target": 151, "expression": "97 + 54"} | [
"To solve for the target number 151 using the given numbers 54 and 97, we need to find a combination of addition, subtraction, multiplication, and division that will result in 151. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: We want to achieve the sum of 151.\n ... | [
false
] | [
""
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false
] | [
"1732 - 151"
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[
false
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] | [
[
"1732 - 151"
]
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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 [69, 33], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33 + 69 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5512, \"numbers\": [69, 33], \"target\": 102, \"expression\": \"33 + 69\"}"} | test | {"source_dataset": "countdown", "source_index": 5512, "numbers": [69, 33], "target": 102, "expression": "33 + 69"} | [
"To solve this problem, we need to use the numbers 69 and 33 from the given list and combine them using basic arithmetic operations to get the target number, which is 102. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 69 and 33**:\n - First, multiply these two numbers together.\n \... | [
false
] | [
""
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false
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"\\( (69 \\times 33) - 54 \\div 21 = 102 \\)"
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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 [87, 85], create an equation that equals 172. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 85 + 87 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5398, \"numbers\": [87, 85], \"target\": 172, \"expression\": \"85 + 87\"}"} | test | {"source_dataset": "countdown", "source_index": 5398, "numbers": [87, 85], "target": 172, "expression": "85 + 87"} | [
"To solve this problem, we need to use the numbers 87 and 85 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 172. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 172.\n2. **Consider... | [
false
] | [
""
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false
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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 [5, 96], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 5 + 96 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6090, \"numbers\": [5, 96], \"target\": 101, \"expression\": \"5 + 96\"}"} | test | {"source_dataset": "countdown", "source_index": 6090, "numbers": [5, 96], "target": 101, "expression": "5 + 96"} | [
"To solve this problem, we need to use the numbers 5 and 96 from the given list to achieve the target number 101 using basic arithmetic operations. Let's break down the process:\n\n1. **Identify the goal**: We want to get 101.\n2. **Consider possible combinations**: Since we have two numbers (5 and 96), let's try d... | [
false
] | [
""
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false
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]
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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 [33, 84], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33 + 84 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5141, \"numbers\": [33, 84], \"target\": 117, \"expression\": \"33 + 84\"}"} | test | {"source_dataset": "countdown", "source_index": 5141, "numbers": [33, 84], "target": 117, "expression": "33 + 84"} | [
"To solve this problem, we need to use the numbers 33 and 84 from the given list to form an equation that equals 117 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 117.\n2. **Consider Possible Operations**:\n ... | [
false
] | [
""
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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 [71, 45], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 45 + 71 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6100, \"numbers\": [71, 45], \"target\": 116, \"expression\": \"45 + 71\"}"} | test | {"source_dataset": "countdown", "source_index": 6100, "numbers": [71, 45], "target": 116, "expression": "45 + 71"} | [
"To solve this problem, we need to use the numbers 71 and 45 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number, which is 116.\n\nHere’s how we can approach it:\n\n1. **Identify the target**: We want to achieve the result of 116.\n2. **Consider possible ... | [
false
] | [
""
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false
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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 [19, 29], create an equation that equals 551. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 19*29 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6422, \"numbers\": [19, 29], \"target\": 551, \"expression\": \"19*29\"}"} | test | {"source_dataset": "countdown", "source_index": 6422, "numbers": [19, 29], "target": 551, "expression": "19*29"} | [
"To solve for 551 using the numbers 19 and 29 with basic arithmetic operations, we need to find a combination of these numbers that will yield 551 when combined through addition, subtraction, multiplication, and division. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number*... | [
false
] | [
""
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false
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"\\( 19 \\times 29 = 551 \\)"
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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 [93, 83], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 93 + 83 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6081, \"numbers\": [93, 83], \"target\": 176, \"expression\": \"93 + 83\"}"} | test | {"source_dataset": "countdown", "source_index": 6081, "numbers": [93, 83], "target": 176, "expression": "93 + 83"} | [
"To solve this problem, we need to combine the given numbers [93, 83] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 176. We will follow these steps:\n\n1. **Identify the goal**: The target is 176.\n2. **Consider possible combinations**: We... | [
false
] | [
""
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true
] | [
"93 + 83 = 176"
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[
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[
"93 + 83 = 176"
]
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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 [89, 73], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 73 + 89 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6795, \"numbers\": [89, 73], \"target\": 162, \"expression\": \"73 + 89\"}"} | test | {"source_dataset": "countdown", "source_index": 6795, "numbers": [89, 73], "target": 162, "expression": "73 + 89"} | [
"To solve this problem, we need to use the numbers 89 and 73 from the given list to achieve the target number 162 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 89 and 73**:\n \\[\n 89 \\times 73 = 6457\n \\]\n\n2. **Subtract 100 from the result*... | [
false
] | [
""
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false
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[]
] | [
[]
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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 [98, 34], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 34 + 98 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5907, \"numbers\": [98, 34], \"target\": 132, \"expression\": \"34 + 98\"}"} | test | {"source_dataset": "countdown", "source_index": 5907, "numbers": [98, 34], "target": 132, "expression": "34 + 98"} | [
"To solve this problem, we need to combine the given numbers [98, 34] using basic arithmetic operations such as addition, subtraction, multiplication, and division to achieve the target number 132. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begin with 98.\n ... | [
false
] | [
""
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false
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"\\( 98 + 34 = 132 \\)"
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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 [37, 88], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 37 + 88 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5940, \"numbers\": [37, 88], \"target\": 125, \"expression\": \"37 + 88\"}"} | test | {"source_dataset": "countdown", "source_index": 5940, "numbers": [37, 88], "target": 125, "expression": "37 + 88"} | [
"To solve this problem, we need to use the numbers 37 and 88 from the given list to achieve the target number 125 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 37 and 88**:\n \\[\n 37 \\times 88 = 3296\n \\]\n\n2. **Divide the result by 2**:\n ... | [
false
] | [
""
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false
] | [
"(37 \\times 88) / 2 - (37 \\times 88) / 2 + 125"
] | {"all_spans_summary": [{"answer": "(37 \\times 88) / 2 - (37 \\times 88) / 2 + 125", "context": "Therefore, the final equation is:", "end_line": 34, "start_line": 34}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answer": "(37 \\times 88) / 2 - (37 \\times 88) / 2 + 12... | [{"answer_block": "(37 \\times 88) / 2 - (37 \\times 88) / 2 + 125", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false, "method": null, "reason": null}] | [
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[
"(37 \\times 88) / 2 - (37 \\times 88) / 2 + 125"
]
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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 [100, 27], create an equation that equals 127. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 100 + 27 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6770, \"numbers\": [100, 27], \"target\": 127, \"expression\": \"100 + 27\"}"} | test | {"source_dataset": "countdown", "source_index": 6770, "numbers": [100, 27], "target": 127, "expression": "100 + 27"} | [
"To solve this problem, we need to use the numbers 100 and 27 from the given list to achieve the target number 127 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begin with 100.\n - \\( \\text{Current Value} = 100 \\)\n\n2. *... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
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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 [14, 87], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 87 + 14 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6569, \"numbers\": [14, 87], \"target\": 101, \"expression\": \"87 + 14\"}"} | test | {"source_dataset": "countdown", "source_index": 6569, "numbers": [14, 87], "target": 101, "expression": "87 + 14"} | [
"To solve this problem, we need to use the numbers 14 and 87 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 101. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 14 and 87**:\n \\[\n 14 \\times 87 = 1218\n \\]\n\n2. *... | [
false
] | [
""
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false
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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 [55, 15], create an equation that equals 825. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 15*55 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5168, \"numbers\": [55, 15], \"target\": 825, \"expression\": \"15*55\"}"} | test | {"source_dataset": "countdown", "source_index": 5168, "numbers": [55, 15], "target": 825, "expression": "15*55"} | [
"To solve for 825 using the numbers 55 and 15 with basic arithmetic operations, we need to find a combination that will yield this result. Let's break down the process:\n\n1. **Identify the goal**: We want to get 825.\n2. **Consider possible combinations**: Since we have two numbers (55 and 15), one approach might ... | [
false
] | [
""
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false
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"\\( 55 \\times 15 = 825 \\)"
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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 [85, 84], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 85 + 84 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6759, \"numbers\": [85, 84], \"target\": 169, \"expression\": \"85 + 84\"}"} | test | {"source_dataset": "countdown", "source_index": 6759, "numbers": [85, 84], "target": 169, "expression": "85 + 84"} | [
"To solve this problem, we need to use the numbers 85 and 84 from the given list and combine them using basic arithmetic operations to get the target number, which is 169.\n\nHere’s how we can approach it:\n\n1. **Identify the target**: The target number is 169.\n2. **Consider possible combinations**: We need to fi... | [
false
] | [
""
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true
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[
true
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]
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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 [95, 67], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 95 + 67 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6715, \"numbers\": [95, 67], \"target\": 162, \"expression\": \"95 + 67\"}"} | test | {"source_dataset": "countdown", "source_index": 6715, "numbers": [95, 67], "target": 162, "expression": "95 + 67"} | [
"To solve this problem, we need to use the numbers 95 and 67 from the given list and combine them using basic arithmetic operations to get the target number, which is 162. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 95 and 67**:\n - First, let's multiply these two numbers together.... | [
false
] | [
""
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false
] | [
"\\( (95 \\times 67) + 10 - 10 = 162 \\)"
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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 [33, 27], create an equation that equals 891. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 27*33 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5575, \"numbers\": [33, 27], \"target\": 891, \"expression\": \"27*33\"}"} | test | {"source_dataset": "countdown", "source_index": 5575, "numbers": [33, 27], "target": 891, "expression": "27*33"} | [
"To solve for 891 using the numbers 33 and 27 with basic arithmetic operations, we need to find a combination of these numbers that will yield 891 when combined through addition, subtraction, multiplication, and division. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number*... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
true
] | [
"33 * 27"
] | {"all_spans_summary": [{"answer": "33 * 27", "context": "\\boxed{33 * 27}", "end_line": 24, "start_line": 24}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answer": "33 * 27", "context": "\\boxed{33 * 27}", "end_line": 24, "end_pos": 1024, "start_line": 24, "start_pos"... | [{"answer_block": "33 * 27", "error": null, "final_answer": 891.0, "is_correct": true, "method": null, "reason": null}] | [
[
true
]
] | [
[
"33 * 27"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "33 * 27", "context": "\\boxed{33 * 27}", "end_line": 24, "end_pos": 1024, "start_line": 24, "start_pos": 1008}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "spa... | [{"value": "[{'answer_block': '33 * 27', 'error': None, 'final_answer': 891.0, 'is_correct': True}]"}] | {
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0
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0
... | 2025-09-04 |
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 [96, 42], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 42 + 96 | countdown_2arg | countdown | [
{
"content": "Answer the following question and put your answer inbetween answer tags.\n\n<answer>Your Answer Here</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 ans... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6807, \"numbers\": [96, 42], \"target\": 138, \"expression\": \"42 + 96\"}"} | test | {"source_dataset": "countdown", "source_index": 6807, "numbers": [96, 42], "target": 138, "expression": "42 + 96"} | [
"To solve for the target number 138 using the given numbers 96 and 42, we need to find a combination of addition, subtraction, multiplication, and division that will result in 138. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the larger number (96)**:\n - We want to get close to 1... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:34531/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Answer the following question and put ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1} | [
false
] | [
"96 - 42 + 84"
] | {"all_spans_summary": [{"answer": "96 - 42 + 84", "context": "\\boxed{96 - 42 + 84}", "end_line": 19, "start_line": 19}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answer": "96 - 42 + 84", "context": "\\boxed{96 - 42 + 84}", "end_line": 19, "end_pos": 688, "start_lin... | [{"answer_block": "96 - 42 + 84", "error": "Expression uses an unavailable or repeated number", "final_answer": 138.0, "is_correct": false, "method": null, "reason": null}] | [
[
false
]
] | [
[
"96 - 42 + 84"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "96 - 42 + 84", "context": "\\boxed{96 - 42 + 84}", "end_line": 19, "end_pos": 688, "start_line": 19, "start_pos": 667}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": tr... | [{"value": "[{'answer_block': '96 - 42 + 84', 'error': 'Expression uses an unavailable or repeated number', 'final_answer': 138.0, 'is_correct': False}]"}] | {
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0
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"percent_correct": null,
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0
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0
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0
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],
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0
... | 2025-09-04 |
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