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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, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 48 + 73 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6756, \"numbers\": [73, 48], \"target\": 121, \"expression\": \"48 + 73\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6756, "numbers": [73, 48], "target": 121, "expression": "48 + 73"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [73, 48] that equals 121, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a sum close to 121.\n2. We can start by adding 73 and 48:\n Step 1: 73 + 48 = 121\n\nThis equation uses all the numbers exa... | [
false
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""
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true
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"48 + 73"
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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, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*54 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6685, \"numbers\": [14, 54], \"target\": 756, \"expression\": \"14*54\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6685, "numbers": [14, 54], "target": 756, "expression": "14*54"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [14, 54] that equals 756, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a number close to 756.\n2. We can start by multiplying 54 by 14:\n Step 1: 54 * 14 = 756\n\nThis equation uses all the numb... | [
false
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""
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true
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"14*54"
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"Step 1: 54 * 14 = 756",
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... | 2025-08-14 |
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 [40, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 40 + 70 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [40, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5824, \"numbers\": [40, 70], \"target\": 110, \"expression\": \"40 + 70\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5824, "numbers": [40, 70], "target": 110, "expression": "40 + 70"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [40, 70] that equals 110, we can follow these steps:\n\n1. First, let's add the two numbers together:\n Step 1: 40 + 70 = 110\n\nThis equation uses all the numbers exactly once and results in the target number of 110.\n\nSo, the ... | [
false
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""
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true
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"70 + 40"
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... | 2025-08-14 |
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, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 31*30 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [30, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5930, \"numbers\": [30, 31], \"target\": 930, \"expression\": \"31*30\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5930, "numbers": [30, 31], "target": 930, "expression": "31*30"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [30, 31] that equals 930, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a number close to 930.\n2. We can start by multiplying 31 by 30:\n Step 1: 31 * 30 = 930\n\nThis equation uses all the numb... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"31*30"
] | {"all_spans_summary": [{"answer": "Step 1: 31 * 30 = 930", "context": "<answer> Step 1: 31 * 30 = 930 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 31 * 30 = 930", "context": "<answer> Step 1: 31 * 30 = 930 </answer>", "end_line": 44, "start_line": 43}, {"answer": "31*30", "context": "<answer> 31*3... | [{"answer_block": "31*30", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 930.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
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true
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] | [
[
"Step 1: 31 * 30 = 930",
"Step 1: 31 * 30 = 930",
"31*30"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 31 * 30 = 930", "context": "<answer> Step 1: 31 * 30 = 930 </answer>", "end_line": 14, "end_pos": 413, "start_line": 13, "start_pos": 381}, {"answer": "Step 1: 31 * 30 = 930", "context": "<answer> Step 1: 31 * 30... | [{"value": "[{'answer_block': 'Step 1: 31 * 30 = 930', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 930.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 31 * 30 = 930', 'comparison_type': None... | {
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... | 2025-08-14 |
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 [25, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 25 + 78 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [25, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5864, \"numbers\": [25, 78], \"target\": 103, \"expression\": \"25 + 78\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5864, "numbers": [25, 78], "target": 103, "expression": "25 + 78"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [25, 78] that equals 103, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a sum close to 103.\n2. We can start by adding 78 and 25:\n Step 1: 78 + 25 = 103\n\nThis equation uses all the numbers exa... | [
false
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""
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true
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"25 + 78"
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"Step 1: 78 + 25 = 103",
"Step 1: 78 + 25 = 103",
"25 + 78"
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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, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 76 + 85 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [85, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6120, \"numbers\": [85, 76], \"target\": 161, \"expression\": \"76 + 85\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6120, "numbers": [85, 76], "target": 161, "expression": "76 + 85"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [85, 76] that equals 161, we can follow these steps:\n\n1. First, let's add the two numbers together:\n Step 1: 85 + 76 = 161\n\nThis equation uses all the numbers exactly once and results in the target number. Therefore, the fin... | [
false
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""
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true
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"76 + 85"
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"Step 1: 85 + 76 = 161",
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"76 + 85"
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... | 2025-08-14 |
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 [45, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 45 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [45, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5533, \"numbers\": [45, 75], \"target\": 120, \"expression\": \"45 + 75\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5533, "numbers": [45, 75], "target": 120, "expression": "45 + 75"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [45, 75] that equals 120, we can follow these steps:\n\n1. First, let's add the two numbers together:\n Step 1: 45 + 75 = 120\n\nThis equation uses all the numbers exactly once and results in the target number of 120.\n\nSo, the ... | [
false
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""
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"75 + 45"
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"Step 1: 45 + 75 = 120",
"Step 1: 45 + 75 = 120",
"75 + 45"
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... | 2025-08-14 |
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 [62, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*62 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [62, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5746, \"numbers\": [62, 14], \"target\": 868, \"expression\": \"14*62\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5746, "numbers": [62, 14], "target": 868, "expression": "14*62"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [62, 14] that equals 868, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a number close to 868.\n2. We can start by multiplying 62 and 14:\n Step 1: 62 * 14 = 868\n\nThis equation uses all the num... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"14*62"
] | {"all_spans_summary": [{"answer": "Step 1: 62 * 14 = 868", "context": "<answer> Step 1: 62 * 14 = 868 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 62 * 14 = 868", "context": "<answer> Step 1: 62 * 14 = 868 </answer>", "end_line": 44, "start_line": 43}, {"answer": "14*62", "context": "<answer> 14*6... | [{"answer_block": "14*62", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 868.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
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true,
true
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[
"Step 1: 62 * 14 = 868",
"Step 1: 62 * 14 = 868",
"14*62"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 62 * 14 = 868", "context": "<answer> Step 1: 62 * 14 = 868 </answer>", "end_line": 14, "end_pos": 414, "start_line": 13, "start_pos": 382}, {"answer": "Step 1: 62 * 14 = 868", "context": "<answer> Step 1: 62 * 14... | [{"value": "[{'answer_block': 'Step 1: 62 * 14 = 868', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 868.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 62 * 14 = 868', 'comparison_type': None... | {
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... | 2025-08-14 |
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, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 6*87 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [87, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5021, \"numbers\": [87, 6], \"target\": 522, \"expression\": \"6*87\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5021, "numbers": [87, 6], "target": 522, "expression": "6*87"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [87, 6] that equals 522, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a number close to 522.\n2. We can start by multiplying 87 and 6:\n Step 1: 87 * 6 = 522\n\nThis equation uses all the number... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"6*87"
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[
true,
true,
true
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] | [
[
"Step 1: 87 * 6 = 522",
"Step 1: 87 * 6 = 522",
"6*87"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 87 * 6 = 522", "context": "lines 12-14 with <answer> tags", "end_line": 14, "end_pos": 410, "start_line": 13, "start_pos": 379}, {"answer": "Step 1: 87 * 6 = 522", "context": "lines 42-44 with <answer> tags", "en... | [{"value": "[{'answer_block': 'Step 1: 87 * 6 = 522', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 522.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 87 * 6 = 522', 'comparison_type': None, ... | {
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... | 2025-08-14 |
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, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 90 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [90, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6819, \"numbers\": [90, 66], \"target\": 156, \"expression\": \"90 + 66\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6819, "numbers": [90, 66], "target": 156, "expression": "90 + 66"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [90, 66] that equals 156, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a sum close to 156.\n2. We can start by adding 90 and 66:\n Step 1: 90 + 66 = 156\n\nThis equation uses all the numbers exa... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"90 + 66"
] | {"all_spans_summary": [{"answer": "Step 1: 90 + 66 = 156", "context": "<answer> Step 1: 90 + 66 = 156 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 90 + 66 = 156", "context": "<answer> Step 1: 90 + 66 = 156 </answer>", "end_line": 44, "start_line": 43}, {"answer": "90 + 66", "context": "<answer> 90... | [{"answer_block": "90 + 66", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 156.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
]
] | [
[
"Step 1: 90 + 66 = 156",
"Step 1: 90 + 66 = 156",
"90 + 66"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 90 + 66 = 156", "context": "<answer> Step 1: 90 + 66 = 156 </answer>", "end_line": 14, "end_pos": 406, "start_line": 13, "start_pos": 374}, {"answer": "Step 1: 90 + 66 = 156", "context": "<answer> Step 1: 90 + 66... | [{"value": "[{'answer_block': 'Step 1: 90 + 66 = 156', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 156.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 90 + 66 = 156', 'comparison_type': None... | {
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... | 2025-08-14 |
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, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 17 + 92 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [17, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5462, \"numbers\": [17, 92], \"target\": 109, \"expression\": \"17 + 92\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5462, "numbers": [17, 92], "target": 109, "expression": "17 + 92"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [17, 92] that equals 109, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a sum close to 109.\n2. We can start by adding 92 and 17:\n Step 1: 92 + 17 = 109\n\nThis equation uses all the numbers exa... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"92 + 17"
] | {"all_spans_summary": [{"answer": "Step 1: 92 + 17 = 109", "context": "<answer> Step 1: 92 + 17 = 109 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 92 + 17 = 109", "context": "<answer> Step 1: 92 + 17 = 109 </answer>", "end_line": 44, "start_line": 43}, {"answer": "92 + 17", "context": "<answer> 92... | [{"answer_block": "92 + 17", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 109.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
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] | [
[
"Step 1: 92 + 17 = 109",
"Step 1: 92 + 17 = 109",
"92 + 17"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 92 + 17 = 109", "context": "<answer> Step 1: 92 + 17 = 109 </answer>", "end_line": 14, "end_pos": 406, "start_line": 13, "start_pos": 374}, {"answer": "Step 1: 92 + 17 = 109", "context": "<answer> Step 1: 92 + 17... | [{"value": "[{'answer_block': 'Step 1: 92 + 17 = 109', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 109.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 92 + 17 = 109', 'comparison_type': None... | {
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... | 2025-08-14 |
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 [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 32*20 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6675, \"numbers\": [32, 20], \"target\": 640, \"expression\": \"32*20\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6675, "numbers": [32, 20], "target": 640, "expression": "32*20"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [32, 20] that equals 640, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a number close to 640.\n2. We can start by multiplying 32 and 20:\n Step 1: 32 * 20 = 640\n\nThis equation uses all the num... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"32*20"
] | {"all_spans_summary": [{"answer": "Step 1: 32 * 20 = 640", "context": "<answer> Step 1: 32 * 20 = 640 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 32 * 20 = 640", "context": "<answer> Step 1: 32 * 20 = 640 </answer>", "end_line": 44, "start_line": 43}, {"answer": "32*20", "context": "<answer> 32*2... | [{"answer_block": "32*20", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 640.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
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] | [
[
"Step 1: 32 * 20 = 640",
"Step 1: 32 * 20 = 640",
"32*20"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 32 * 20 = 640", "context": "<answer> Step 1: 32 * 20 = 640 </answer>", "end_line": 14, "end_pos": 414, "start_line": 13, "start_pos": 382}, {"answer": "Step 1: 32 * 20 = 640", "context": "<answer> Step 1: 32 * 20... | [{"value": "[{'answer_block': 'Step 1: 32 * 20 = 640', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 640.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 32 * 20 = 640', 'comparison_type': None... | {
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... | 2025-08-14 |
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 [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 74 + 51 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5279, \"numbers\": [74, 51], \"target\": 125, \"expression\": \"74 + 51\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5279, "numbers": [74, 51], "target": 125, "expression": "74 + 51"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [74, 51] that equals 125, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a sum close to 125.\n2. We can start by adding 74 and 51:\n Step 1: 74 + 51 = 125\n\nThis equation uses all the numbers exa... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"74 + 51"
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"Step 1: 74 + 51 = 125",
"Step 1: 74 + 51 = 125",
"74 + 51"
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... | 2025-08-14 |
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 [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 7*80 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5775, \"numbers\": [80, 7], \"target\": 560, \"expression\": \"7*80\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5775, "numbers": [80, 7], "target": 560, "expression": "7*80"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [80, 7] that equals 560, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a number close to 560.\n2. We can start by multiplying 80 by 7:\n Step 1: 80 * 7 = 560\n\nThis equation uses all the numbers... | [
false
] | [
""
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true
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"7*80"
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"Step 1: 80 * 7 = 560",
"Step 1: 80 * 7 = 560",
"7*80"
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... | 2025-08-14 |
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, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 73 + 80 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6089, \"numbers\": [73, 80], \"target\": 153, \"expression\": \"73 + 80\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6089, "numbers": [73, 80], "target": 153, "expression": "73 + 80"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [73, 80] that equals 153, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a sum close to 153.\n2. We can start by adding 80 and 73:\n Step 1: 80 + 73 = 153\n\nThis equation uses all the numbers exa... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"80 + 73"
] | {"all_spans_summary": [{"answer": "Step 1: 80 + 73 = 153", "context": "<answer> Step 1: 80 + 73 = 153 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 80 + 73 = 153", "context": "<answer> Step 1: 80 + 73 = 153 </answer>", "end_line": 44, "start_line": 43}, {"answer": "80 + 73", "context": "<answer> 80... | [{"answer_block": "80 + 73", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 153.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
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] | [
[
"Step 1: 80 + 73 = 153",
"Step 1: 80 + 73 = 153",
"80 + 73"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 80 + 73 = 153", "context": "<answer> Step 1: 80 + 73 = 153 </answer>", "end_line": 14, "end_pos": 406, "start_line": 13, "start_pos": 374}, {"answer": "Step 1: 80 + 73 = 153", "context": "<answer> Step 1: 80 + 73... | [{"value": "[{'answer_block': 'Step 1: 80 + 73 = 153', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 153.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 80 + 73 = 153', 'comparison_type': None... | {
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... | 2025-08-14 |
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, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 84 + 27 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [27, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5705, \"numbers\": [27, 84], \"target\": 111, \"expression\": \"84 + 27\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5705, "numbers": [27, 84], "target": 111, "expression": "84 + 27"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [27, 84] that equals 111, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a sum close to 111.\n2. We can start by adding 84 and 27:\n Step 1: 84 + 27 = 111\n\nThis equation uses all the numbers exa... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"27 + 84"
] | {"all_spans_summary": [{"answer": "Step 1: 84 + 27 = 111", "context": "<answer> Step 1: 84 + 27 = 111 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 84 + 27 = 111", "context": "<answer> Step 1: 84 + 27 = 111 </answer>", "end_line": 44, "start_line": 43}, {"answer": "27 + 84", "context": "<answer> 27... | [{"answer_block": "27 + 84", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 111.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
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] | [
[
"Step 1: 84 + 27 = 111",
"Step 1: 84 + 27 = 111",
"27 + 84"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 84 + 27 = 111", "context": "<answer> Step 1: 84 + 27 = 111 </answer>", "end_line": 14, "end_pos": 406, "start_line": 13, "start_pos": 374}, {"answer": "Step 1: 84 + 27 = 111", "context": "<answer> Step 1: 84 + 27... | [{"value": "[{'answer_block': 'Step 1: 84 + 27 = 111', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 111.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 84 + 27 = 111', 'comparison_type': None... | {
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... | 2025-08-14 |
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, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 55 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6474, \"numbers\": [66, 55], \"target\": 121, \"expression\": \"55 + 66\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6474, "numbers": [66, 55], "target": 121, "expression": "55 + 66"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [66, 55] that equals 121, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a sum close to 121.\n2. We can start by adding 66 and 55:\n Step 1: 66 + 55 = 121\n\nThis equation uses all the numbers exa... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"55 + 66"
] | {"all_spans_summary": [{"answer": "Step 1: 66 + 55 = 121", "context": "<answer> Step 1: 66 + 55 = 121 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 66 + 55 = 121", "context": "<answer> Step 1: 66 + 55 = 121 </answer>", "end_line": 44, "start_line": 43}, {"answer": "55 + 66", "context": "<answer> 55... | [{"answer_block": "55 + 66", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 121.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
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[
"Step 1: 66 + 55 = 121",
"Step 1: 66 + 55 = 121",
"55 + 66"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 66 + 55 = 121", "context": "<answer> Step 1: 66 + 55 = 121 </answer>", "end_line": 14, "end_pos": 406, "start_line": 13, "start_pos": 374}, {"answer": "Step 1: 66 + 55 = 121", "context": "<answer> Step 1: 66 + 55... | [{"value": "[{'answer_block': 'Step 1: 66 + 55 = 121', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 121.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 66 + 55 = 121', 'comparison_type': None... | {
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... | 2025-08-14 |
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, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5465, \"numbers\": [66, 47], \"target\": 113, \"expression\": \"47 + 66\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5465, "numbers": [66, 47], "target": 113, "expression": "47 + 66"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [66, 47] that equals 113, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a sum close to 113.\n2. We can start by adding 66 and 47:\n Step 1: 66 + 47 = 113\n\nThis equation uses all the numbers exa... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"47 + 66"
] | {"all_spans_summary": [{"answer": "Step 1: 66 + 47 = 113", "context": "<answer> Step 1: 66 + 47 = 113 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 66 + 47 = 113", "context": "<answer> Step 1: 66 + 47 = 113 </answer>", "end_line": 44, "start_line": 43}, {"answer": "47 + 66", "context": "<answer> 47... | [{"answer_block": "47 + 66", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 113.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
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] | [
[
"Step 1: 66 + 47 = 113",
"Step 1: 66 + 47 = 113",
"47 + 66"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 66 + 47 = 113", "context": "<answer> Step 1: 66 + 47 = 113 </answer>", "end_line": 14, "end_pos": 406, "start_line": 13, "start_pos": 374}, {"answer": "Step 1: 66 + 47 = 113", "context": "<answer> Step 1: 66 + 47... | [{"value": "[{'answer_block': 'Step 1: 66 + 47 = 113', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 113.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 66 + 47 = 113', 'comparison_type': None... | {
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... | 2025-08-14 |
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, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 91 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6286, \"numbers\": [75, 91], \"target\": 166, \"expression\": \"91 + 75\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6286, "numbers": [75, 91], "target": 166, "expression": "91 + 75"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [75, 91] that equals 166, we can follow these steps:\n\n1. First, let's try to combine the numbers to get a sum close to 166.\n2. We can start by adding 91 and 75:\n Step 1: 91 + 75 = 166\n\nThis equation uses all the numbers exa... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:35515", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "prompt": [{"content": "Answ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3_transition0.3-rl", "n_responses": 1} | [
true
] | [
"91 + 75"
] | {"all_spans_summary": [{"answer": "Step 1: 91 + 75 = 166", "context": "<answer> Step 1: 91 + 75 = 166 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 91 + 75 = 166", "context": "<answer> Step 1: 91 + 75 = 166 </answer>", "end_line": 44, "start_line": 43}, {"answer": "91 + 75", "context": "<answer> 91... | [{"answer_block": "91 + 75", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 166.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
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] | [
[
"Step 1: 91 + 75 = 166",
"Step 1: 91 + 75 = 166",
"91 + 75"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 91 + 75 = 166", "context": "<answer> Step 1: 91 + 75 = 166 </answer>", "end_line": 14, "end_pos": 406, "start_line": 13, "start_pos": 374}, {"answer": "Step 1: 91 + 75 = 166", "context": "<answer> Step 1: 91 + 75... | [{"value": "[{'answer_block': 'Step 1: 91 + 75 = 166', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 166.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 91 + 75 = 166', 'comparison_type': None... | {
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... | 2025-08-14 |
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 [81, 40], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 81 + 40 | countdown_2arg | countdown | [
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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 answer)</answer>.\n\n# Problem\nUsing the numbers in the list [81, 40], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6311, \"numbers\": [81, 40], \"target\": 121, \"expression\": \"81 + 40\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6311, "numbers": [81, 40], "target": 121, "expression": "81 + 40"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve the problem of creating an equation using the numbers [81, 40] that equals 121, we can follow these steps:\n\n1. Start with the given numbers: 81 and 40.\n2. We need to combine these numbers using basic arithmetic operations to reach the target number 121.\n3. Let's try different comb... | [
false
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""
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"40 + 81"
] | {"all_spans_summary": [{"answer": "Step 1: 81 + 40 = 121", "context": "<answer> Step 1: 81 + 40 = 121 </answer>", "end_line": 18, "start_line": 17}, {"answer": "Step 1: 81 + 40 = 121", "context": "<answer> Step 1: 81 + 40 = 121 </answer>", "end_line": 52, "start_line": 51}, {"answer": "40 + 81", "context": "<answer> 40... | [{"answer_block": "40 + 81", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 121.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
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"Step 1: 81 + 40 = 121",
"Step 1: 81 + 40 = 121",
"40 + 81"
]
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... | 2025-08-14 |
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