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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 [43, 72], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 43 + 72 | 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 [43, 72], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 204, \"numbers\": [43, 72], \"target\": 115, \"expression\": \"43 + 72\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 204, "numbers": [43, 72], "target": 115, "expression": "43 + 72"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [43, 72] and need to make an equation that equals 115 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to combine these two numbers to get 115. Since 115 is larger than both 43 and 72 individually... | [
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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 [41, 12], create an equation that equals 492. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 12*41 | 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 [41, 12], create an equation that equals 492. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 229, \"numbers\": [41, 12], \"target\": 492, \"expression\": \"12*41\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 229, "numbers": [41, 12], "target": 492, "expression": "12*41"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [41, 12] and need to make 492 using addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI should consider what operations might get me close to 492. Since 492 is larger than both 41 and 12, I probably need to multiply or add something.\n\nLe... | [
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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 [12, 33], create an equation that equals 396. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 12*33 | 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 [12, 33], create an equation that equals 396. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 243, \"numbers\": [12, 33], \"target\": 396, \"expression\": \"12*33\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 243, "numbers": [12, 33], "target": 396, "expression": "12*33"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [12, 33] and need to make 396 using addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI should consider what operations might get me close to 396. Since 396 is larger than both 12 and 33, I probably need to multiply or add something.\n\nLe... | [
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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 [53, 69], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 69 + 53 | 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 [53, 69], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 293, \"numbers\": [53, 69], \"target\": 122, \"expression\": \"69 + 53\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 293, "numbers": [53, 69], "target": 122, "expression": "69 + 53"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [53, 69] and need to make 122 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 122. Since 122 is larger than both 53 and 69, I probably need to add... | [
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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 [58, 52], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 52 + 58 | 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 [58, 52], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 325, \"numbers\": [58, 52], \"target\": 110, \"expression\": \"52 + 58\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 325, "numbers": [58, 52], "target": 110, "expression": "52 + 58"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [58, 52] and need to make an equation that equals 110 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 110. Since 58 and 52 are both around 60, mul... | [
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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, 91], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 55 + 91 | 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 [55, 91], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 460, \"numbers\": [55, 91], \"target\": 146, \"expression\": \"55 + 91\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 460, "numbers": [55, 91], "target": 146, "expression": "55 + 91"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [55, 91] and need to make an equation that equals 146 using addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI should consider possible operations. Since 146 is larger than both 55 and 91, multiplication might be involved because adding t... | [
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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, 84], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 42 + 84 | 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 [42, 84], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 541, \"numbers\": [42, 84], \"target\": 126, \"expression\": \"42 + 84\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 541, "numbers": [42, 84], "target": 126, "expression": "42 + 84"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [42, 84] and need to make an equation that equals 126 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 126. Since 126 is larger than both 42 and 84... | [
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"expression",
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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, 41], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 41 + 71 | 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 [71, 41], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 693, \"numbers\": [71, 41], \"target\": 112, \"expression\": \"41 + 71\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 693, "numbers": [71, 41], "target": 112, "expression": "41 + 71"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [71, 41] and need to make an equation that equals 112 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 112. Since 112 is larger than both 71 and 41... | [
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"71 + 41 = 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 [60, 54], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 54 + 60 | 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 [60, 54], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1044, \"numbers\": [60, 54], \"target\": 114, \"expression\": \"54 + 60\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 1044, "numbers": [60, 54], "target": 114, "expression": "54 + 60"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [60, 54] and need to make 114 using addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI should consider possible combinations. Since 114 is larger than both 60 and 54, I might need to add them or multiply to get closer.\n\nLet me try addin... | [
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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, 14], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 90 + 14 | 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, 14], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1236, \"numbers\": [90, 14], \"target\": 104, \"expression\": \"90 + 14\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 1236, "numbers": [90, 14], "target": 104, "expression": "90 + 14"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [90, 14] and need to make an equation that equals 104 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 104. Since 90 is larger than 104, adding som... | [
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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 [57, 89], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 57 + 89 | 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 [57, 89], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1265, \"numbers\": [57, 89], \"target\": 146, \"expression\": \"57 + 89\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 1265, "numbers": [57, 89], "target": 146, "expression": "57 + 89"} | null | null | null | null | null | null | [
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"",
"",
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"57 + 89 = 146"
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"(57 + 89) = 146"
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"57 + 89",
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[
"(... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3173, "span_text": "(57 + 89) = 146", "extraction_type": "internal", "span_start": 3173, "span_end": 3190, "original_span": "(57 + 89) = 146"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1937, "span_text": "(your answer)", "extraction_... | [[{"is_correct": true, "error": null, "answer_block": "(57 + 89) = 146", "final_answer": 146.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1 + 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 [89, 43], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 43 + 89 | 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 [89, 43], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1382, \"numbers\": [89, 43], \"target\": 132, \"expression\": \"43 + 89\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 1382, "numbers": [89, 43], "target": 132, "expression": "43 + 89"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [89, 43] and need to make 132 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 132. Since 132 is larger than both 89 and 43, I probably need to add... | [
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false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
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false,
true
] | [
"89 + 43 = 132",
"89 + 43",
null,
"89 + 43 = 132"
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"89 + 43 = 132",
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"89 + 43 = 132",
"89 + 43 = 132"
],
[
"(89 + 43) = 132",
"89 + 43"
],
[],
[
"89 + 43 = 132"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3432, "span_text": "89 + 43 = 132", "extraction_type": "internal", "span_start": 3432, "span_end": 3445, "original_span": "89 + 43 = 132"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3590, "span_text": "(your answer)", "extraction_type":... | [[{"is_correct": true, "error": null, "answer_block": "89 + 43 = 132", "final_answer": 132.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "89 + 43 = 132", "final_answer": 132.0}, {"is_correct... | {
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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 [48, 17], create an equation that equals 816. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 17*48 | 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 [48, 17], create an equation that equals 816. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1484, \"numbers\": [48, 17], \"target\": 816, \"expression\": \"17*48\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 1484, "numbers": [48, 17], "target": 816, "expression": "17*48"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [48, 17] and need to make an equation that equals 816 using addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI should consider possible combinations. Since 816 is relatively large, multiplication might be involved because 48 times somethi... | [
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false,
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"",
"",
"",
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] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
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false,
true,
false
] | [
"48 * 17 = 816",
"(48 × 17) = 816",
"48 * 17 = 816",
"(48 × 17)"
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],
[
"(your answer)",
"(48 × 17) = 816",
"(1 + 2) / 3",
"(48 × 17)",
"(48 × 17) = 816"
],
[
"48 * 17 = 816"
],
[
"(48 × 17) = 816",
"(your answer)",
"(48 × 17)"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2835, "span_text": "48 * 17 = 816", "extraction_type": "internal", "span_start": 2835, "span_end": 2848, "original_span": "48 * 17 = 816"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4011, "span_text": "48 * 17 = 816", "extraction_type":... | [[{"is_correct": true, "error": null, "answer_block": "48 * 17 = 816", "final_answer": 816.0}, {"is_correct": true, "error": null, "answer_block": "48 * 17 = 816", "final_answer": 816.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_corre... | {
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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 [70, 68], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 68 + 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 [70, 68], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1718, \"numbers\": [70, 68], \"target\": 138, \"expression\": \"68 + 70\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 1718, "numbers": [70, 68], "target": 138, "expression": "68 + 70"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [70, 68] and need to make 138 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 138. Since 70 and 68 are both fairly large, maybe multiplying them w... | [
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false,
false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
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true,
true,
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"70 + 68 = 138",
"70 + 68",
"70 + 68 = 138",
"70 + 68 = 138"
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"(your answer)",
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[
"70 + 68 = 138",
"70 + 68 = 138"
],
[
"70 + 68 = 138",
"70 + 68 = 138",
"70 + 68 = 138"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3122, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 3122, "span_end": 3135, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5426, "span_text": "70 + 68 = 138", "extraction_type":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "70 + 68 = 138", "final_answer": 138.0}], [{"is_correct": true, "error": null, "answer_block": "70 + 68", "final_answer": 138.0}], [{"is_correct":... | {
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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 [84, 25], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 84 + 25 | 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 [84, 25], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1817, \"numbers\": [84, 25], \"target\": 109, \"expression\": \"84 + 25\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 1817, "numbers": [84, 25], "target": 109, "expression": "84 + 25"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [84, 25] and need to make an equation that equals 109 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 109. Since 109 is larger than both 84 and 25... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
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true,
true,
true,
true
] | [
"Step 1: 84 + 25 = 109",
"84 + 25",
"Step 1: 84 + 25 = 109",
"Step 1: 84 + 25 = 109"
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"(84 + 25) = 109",
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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, 73], create an equation that equals 155. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 82 + 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 [82, 73], create an equation that equals 155. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1859, \"numbers\": [82, 73], \"target\": 155, \"expression\": \"82 + 73\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 1859, "numbers": [82, 73], "target": 155, "expression": "82 + 73"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [82, 73] and I need to make an equation that equals 155 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI should consider possible combinations. Since 155 is larger than both 82 and 73, I might need to ... | [
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false,
false,
false
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"",
"",
"",
""
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true,
true,
true,
true
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"82 + 73",
"(82 + 73) = 155",
"82 + 73 = 155",
"82 + 73 = 155"
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"82 + 73"
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"(82 + 73) = 155"
],
[
"(your answer)",
"82 + 73 = 155"
],
[
"82 + 73 = 155",
"...",
"(your answer)",
"82 + 73 = 155"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4153, "span_text": "82 + 73", "extraction_type": "internal", "span_start": 4153, "span_end": 4162, "original_span": "82 + 73"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 3756, "span_text": "(82 + 73) = 155", "extraction_type": "intern... | [[{"is_correct": true, "error": null, "answer_block": "82 + 73", "final_answer": 155.0}], [{"is_correct": true, "error": null, "answer_block": "(82 + 73) = 155", "final_answer": 155.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct... | {
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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, 24], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 98 + 24 | countdown_2arg | countdown | [
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"98 + 24 = 122"
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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 [48, 5], create an equation that equals 240. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 48*5 | 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 [48, 5], create an equation that equals 240. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1913, \"numbers\": [48, 5], \"target\": 240, \"expression\": \"48*5\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 1913, "numbers": [48, 5], "target": 240, "expression": "48*5"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [48, 5] and need to make an equation that equals 240 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nThe target is 240, which is larger than both 48 and 5. Since 48 and 5 are both small, multiplying the... | [
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"(48 * 5) = 240",
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"(48 * 5) = 240",
"(48 * 5) = 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 [32, 82], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 32 + 82 | 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 [32, 82], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1979, \"numbers\": [32, 82], \"target\": 114, \"expression\": \"32 + 82\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 1979, "numbers": [32, 82], "target": 114, "expression": "32 + 82"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [32, 82] and I need to make an equation that equals 114 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nI need to combine these two numbers with operations to get 114. Since 114 is larger than both 32 and 82, I probably need to add... | [
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"(32 + 82) = 114",
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"32 + 82 = 114",
"32 + 82"
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"32 + 82 = 114",
"32 + 82 = 114"
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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, 80], create an equation that equals 179. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 99 + 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 [99, 80], create an equation that equals 179. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 2083, \"numbers\": [99, 80], \"target\": 179, \"expression\": \"99 + 80\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 2083, "numbers": [99, 80], "target": 179, "expression": "99 + 80"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [99, 80] and need to make an equation that equals 179 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to get from 99 and 80 to 179. Since 179 is larger than both 99 and 80, I probably need to add... | [
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"(your answer)",
"(99 + 80) = 179",
"99 + 80 = 179"
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"(your answer)",
"Step 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1",
"(1 + 2) / 3",
"(your answer)",
"(99 + 80) = 179",
"99 + 80 = 179"
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"(your answer)",
"99 + 80 = 179"
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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, 30], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 30 + 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 [78, 30], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 2186, \"numbers\": [78, 30], \"target\": 108, \"expression\": \"30 + 78\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 2186, "numbers": [78, 30], "target": 108, "expression": "30 + 78"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [78, 30] and need to make an equation that equals 108 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to combine these two numbers with one of the operations to get 108. Since 108 is larger than ... | [
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"78 + 30 = 108",
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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 [9, 17], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 9*17 | 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 [9, 17], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 2246, \"numbers\": [9, 17], \"target\": 153, \"expression\": \"9*17\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 2246, "numbers": [9, 17], "target": 153, "expression": "9*17"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [9, 17] and need to make an equation that equals 153 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 153. Since 153 is fairly large, multiplication might be involved because a... | [
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"Step 1: 9 × 17 = 153",
"17 * 9"
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"(9 * 17) = 153",
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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, 65], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 65 + 60 | 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 [60, 65], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 2441, \"numbers\": [60, 65], \"target\": 125, \"expression\": \"65 + 60\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 2441, "numbers": [60, 65], "target": 125, "expression": "65 + 60"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [60, 65] and I need to make an equation that equals 125 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nI need to combine these two numbers with operations to get 125. Since 125 is larger than both 60 a... | [
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false,
false
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"",
"",
"",
""
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true,
true,
true
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"60 + 65 = 125",
"(60 + 65) = 125",
"60 + 65 = 125",
"60 + 65 = 125"
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"60 + 65 = 125",
"60 + 65 = 125"
],
[
"(60 + 65) = 125",
"(your answer)",
"(60 + 65) = 125",
"(60 + 65) = 125"
],
[
"60 + 65 = 125"
],
[
"Step 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1",
"(1 + 2) / 3",
"60 + 65 = 125",
"60 + 65 = 125"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4781, "span_text": "60 + 65 = 125", "extraction_type": "internal", "span_start": 4781, "span_end": 4796, "original_span": "60 + 65 = 125"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6248, "span_text": "60 + 65 = 125", "extraction_type":... | [[{"is_correct": true, "error": null, "answer_block": "60 + 65 = 125", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "60 + 65 = 125", "final_answer": 125.0}], [{"is_correct": true, "error": null, "answer_block": "(60 + 65) = 125", "final_answer": 125.0}, {"is_correct": false, "error": "Cou... | {
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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, 88], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 94 + 88 | 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 [94, 88], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 2769, \"numbers\": [94, 88], \"target\": 182, \"expression\": \"94 + 88\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 2769, "numbers": [94, 88], "target": 182, "expression": "94 + 88"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [94, 88] and need to make 182 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to combine these two numbers to get 182. Since 182 is larger than both 94 and 88, I probably need to add them or mult... | [
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false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
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"Step 1: 94 + 88 = 182",
"94 + 88 = 182",
"94 + 88 = 182",
"94 + 88"
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[
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false,
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"(your answer)",
"Step 1: 94 + 88 = 182"
],
[
"(your answer)",
"94 + 88 = 182",
"(1 + 2) / 3",
"94 + 88 = 182"
],
[
"94 + 88 = 182"
],
[
"(your answer)",
"94 + 88"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2890, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 2890, "span_end": 2903, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4288, "span_text": "Step 1: 94 + 88 = 182", "extractio... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "Step 1: 94 + 88 = 182", "final_answer": 182.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)"... | {
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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, 60], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 60 + 94 | 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 [94, 60], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 2812, \"numbers\": [94, 60], \"target\": 154, \"expression\": \"60 + 94\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 2812, "numbers": [94, 60], "target": 154, "expression": "60 + 94"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [94, 60] and need to make an equation that equals 154 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 154. Since 154 is larger than both 94 and 60... | [
false,
false,
false,
false
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"",
"",
"",
""
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false,
true,
true,
true
] | [
null,
"94 + 60",
"Step 1: 94 + 60 = 154",
"94 + 60"
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 3948, "span_end": 3957, "original_span": "94 + 60"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 3908, "span_end": 3931, "original_span": "Step... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "error": null, "answer_block": "94 + 60", "final_answer": 154.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 94 + 60 = 154", "final_answer": 154.0}, ... | [
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[
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"94 + 60",
"94 + 60"
]
] | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2686, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 2686, "span_end": 2699, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3948, "span_text": "94 + 60", "extraction_type": "... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "94 + 60", "final_answer": 154.0}], [{"is_correct": true, "error": null, "answer_block": "Step 1: 94 + 60 = 154", "final_answer": 154.0}], [{"... | {
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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, 98], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 98 + 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 [78, 98], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 2858, \"numbers\": [78, 98], \"target\": 176, \"expression\": \"98 + 78\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 2858, "numbers": [78, 98], "target": 176, "expression": "98 + 78"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [78, 98] and need to make an equation that equals 176 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 176. Since 98 is larger than 78, maybe multi... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"78 + 98",
"(78 + 98) = 176",
"98 + 78 = 176",
"98 + 78"
] | [{"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 7307, "span_end": 7314, "original_span": "78 + 98"}, {"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 4579, "span_end": 4596, "original_span": "(78 + 98) = 176"}, {"extraction_ty... | [{"is_correct": true, "error": null, "answer_block": "78 + 98", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "(78 + 98) = 176", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "98 + 78 = 176", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_... | [
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"78 + 98 = 176",
"Step 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1",
"(1 + 2) / 3",
"78 + 98",
"78 + 98"
],
[
"(78 + 98) = 176",
"Step 1: 78 + 98 = 176",
"(your answer)",
"(1 + 2) / 3",
"(78 + 98) = 176",
"(78 + 98) = 176"
],
[
"(your answer)",
"1+2/3",
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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 [37, 4], create an equation that equals 148. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 37*4 | 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 [37, 4], create an equation that equals 148. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 3169, \"numbers\": [37, 4], \"target\": 148, \"expression\": \"37*4\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 3169, "numbers": [37, 4], "target": 148, "expression": "37*4"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [37, 4] and need to make 148 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 148. Since 148 is larger than both 37 and 4, multiplication might be ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
false,
true,
false
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"Step 1: 37 * 4 = 148",
"(37 × 4) = 148",
"37 * 4",
null
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"(your answer)",
"Step 1: Multiply 37 and 4 to get 148.",
"Step 1: 37 * 4 = 148"
],
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"(37 × 4) = 148"
],
[
"37 * 4"
],
[]
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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 [84, 54], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 54 + 84 | 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 [84, 54], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 3366, \"numbers\": [84, 54], \"target\": 138, \"expression\": \"54 + 84\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 3366, "numbers": [84, 54], "target": 138, "expression": "54 + 84"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [84, 54] and need to make 138 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to get from 84 and 54 to 138. Let me look at the difference between 84 and 54. 84 - 54 = 30. That might not help dire... | [
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false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
false,
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true,
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"(84 + 54 × 2)",
null,
"84 + 54",
"84 + 54"
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[
"(84 + 54 × 2)"
],
[],
[
"84 + 54 = 138",
"(1 + 2) / 3",
"84 + 54",
"84 + 54"
],
[
"(your answer)",
"(84 + 54) = 138",
"(84 + 54)",
"84 + 54"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4011, "span_text": "(84 + 54 \u00d7 2)", "extraction_type": "internal", "span_start": 4011, "span_end": 4026, "original_span": "(84 + 54 \u00d7 2)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2620, "span_text": "84 + 54 = 138", "e... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(84 + 54 \u00d7 2)", "final_answer": null}], [], [{"is_correct": true, "error": null, "answer_block": "84 + 54 = 138", "final_answer": 138.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(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 [30, 5], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 30*5 | 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, 5], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 3370, \"numbers\": [30, 5], \"target\": 150, \"expression\": \"30*5\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 3370, "numbers": [30, 5], "target": 150, "expression": "30*5"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [30, 5] and I need to create an equation that equals 150 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nThe target is 150. Since 30 multiplied by something gives me a large number, but I don't know wha... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
false
] | [
"(30 * 5) = 150",
"(30 * 5)",
"30 * 5",
"(30 × 5) = 150"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 4513, "span_end": 4529, "original_span": "(30 * 5) = 150"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 5814, "span_end": 5824, "original_span": "(30 * 5)"}, {"extraction_ty... | [{"is_correct": true, "error": null, "answer_block": "(30 * 5) = 150", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(30 * 5)", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "30 * 5", "final_answer": 150.0}, {"is_correct": false, "error": "Could not evaluate ... | [
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] | [
[
"(30 * 5) = 150"
],
[
"(your answer)",
"(30 * 5)"
],
[
"30 * 5",
"30 * 5"
],
[
"30 × 5 = 150",
"(your answer)",
"(30 × 5) = 150",
"(30 × 5) = 150"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4513, "span_text": "(30 * 5) = 150", "extraction_type": "internal", "span_start": 4513, "span_end": 4529, "original_span": "(30 * 5) = 150"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 3683, "span_text": "(your answer)", "extraction_ty... | [[{"is_correct": true, "error": null, "answer_block": "(30 * 5) = 150", "final_answer": 150.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(30 * 5)", "final_answer": 150.0}], [{"is_correct... | {
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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, 56], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 56 + 100 | 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 [100, 56], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /)... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 3377, \"numbers\": [100, 56], \"target\": 156, \"expression\": \"56 + 100\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 3377, "numbers": [100, 56], "target": 156, "expression": "56 + 100"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [100, 56] and need to make an equation that equals 156 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 156. Since 156 is larger than both 100 and 56, I probably need to add or... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"(100 + 56) = 156",
"100 + 56 = 156",
"100 + 56",
"100 + 56 = 156"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 4243, "span_end": 4261, "original_span": "(100 + 56) = 156"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 4065, "span_end": 4079, "original_span": "100 + 56 = 156"}, {"extra... | [{"is_correct": true, "error": null, "answer_block": "(100 + 56) = 156", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "100 + 56 = 156", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "100 + 56", "final_answer": 156.0}, {"is_correct": true, "error": null, "answ... | [
[
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],
[
true
],
[
true
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[
true
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] | [
[
"(100 + 56) = 156"
],
[
"100 + 56 = 156"
],
[
"100 + 56"
],
[
"100 + 56 = 156"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4243, "span_text": "(100 + 56) = 156", "extraction_type": "internal", "span_start": 4243, "span_end": 4261, "original_span": "(100 + 56) = 156"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 4065, "span_text": "100 + 56 = 156", "extracti... | [[{"is_correct": true, "error": null, "answer_block": "(100 + 56) = 156", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "100 + 56 = 156", "final_answer": 156.0}], [{"is_correct": true, "error": null, "answer_block": "100 + 56", "final_answer": 156.0}], [{"is_correct": true, "error": null... | {
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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, 83], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 83 + 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, 83], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 3382, \"numbers\": [73, 83], \"target\": 156, \"expression\": \"83 + 73\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 3382, "numbers": [73, 83], "target": 156, "expression": "83 + 73"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [73, 83] and I need to make an equation that equals 156 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nThe target is 156. Let me look at the numbers: 73 and 83. Both are prime numbers, but I don't know... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"83 + 73 = 156",
"(73 + 83) = 156",
"73 + 83 = 156",
"73 + 83"
] | [{"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 7039, "span_end": 7054, "original_span": "83 + 73 = 156"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 4612, "span_end": 4629, "original_span": "(73 + 83) = 156"}, {"extract... | [{"is_correct": true, "error": null, "answer_block": "83 + 73 = 156", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "(73 + 83) = 156", "final_answer": 156.0}, {"is_correct": true, "error": null, "answer_block": "73 + 83 = 156", "final_answer": 156.0}, {"is_correct": true, "error": null, "a... | [
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[
"(your answer)",
"83 * 2 - 10 = 156",
"(83 * 2) - 10",
"83 + 73 = 156"
],
[
"(73 + 83) = 156",
"(73 + 83) = 156",
"(your answer)",
"(73 + 83) = 156"
],
[
"(your answer)",
"73 + 83 = 156",
"73 + 83 = 156"
],
[
"(your answer)",
"73 + 83",
"73 + 83"... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3873, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 3873, "span_end": 3886, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4689, "span_text": "83 * 2 - 10 = 156", "extraction_ty... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "83 * 2 - 10 = 156", "final_answer": 156.0}, {"is_correct": false, "error": "Expression uses an un... | {
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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 [70, 81], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 81 + 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 [70, 81], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 3689, \"numbers\": [70, 81], \"target\": 151, \"expression\": \"81 + 70\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 3689, "numbers": [70, 81], "target": 151, "expression": "81 + 70"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [70, 81] and need to make 151 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 151. Since 81 is larger than 70, maybe I can add them and then adjus... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
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"70 + 81 = 151",
"70 + 81",
"70 + 81 = 151",
"Step 1: 70 + 81 = 151"
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[
"70 + 81 = 151",
"70 + 81 = 151"
],
[
"70 + 81 = 151",
"70 + 81",
"(your answer)",
"70 + 81",
"70 + 81"
],
[
"70 + 81 = 151",
"70 + 81 = 151"
],
[
"(1 + 2) / 3",
"70 + 81",
"Step 1: 70 + 81 = 151"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2661, "span_text": "70 + 81 = 151", "extraction_type": "internal", "span_start": 2661, "span_end": 2674, "original_span": "70 + 81 = 151"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3796, "span_text": "70 + 81 = 151", "extraction_type":... | [[{"is_correct": true, "error": null, "answer_block": "70 + 81 = 151", "final_answer": 151.0}, {"is_correct": true, "error": null, "answer_block": "70 + 81 = 151", "final_answer": 151.0}], [{"is_correct": true, "error": null, "answer_block": "70 + 81 = 151", "final_answer": 151.0}, {"is_correct": true, "error": null, "... | {
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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, 14], create an equation that equals 308. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 22*14 | 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 [22, 14], create an equation that equals 308. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 3936, \"numbers\": [22, 14], \"target\": 308, \"expression\": \"22*14\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 3936, "numbers": [22, 14], "target": 308, "expression": "22*14"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [22, 14] and I need to make an equation that equals 308 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nI should consider possible combinations. Since 308 is larger than both 22 and 14, multiplication might be involved because addi... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
false,
false,
true,
true
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"Step 1: Multiply 22 and 14 to get 308.",
"\\(22 \\times 14\\)",
"22 * 14",
"(22 * 14) = 308"
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"Step 1: Multiply 22 and 14 to get 308.",
"Step 1: Multiply 22 and 14 to get 308.",
"Step 1: Multiply 22 and 14 to get 308."
],
[
"(your answer)",
"\\(22 \\times 14\\)"
],
[
"22 * 14"
],
[
"(your answer)",
"(22 * 14) = 308",
"(22 * 14) = 308"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 5834, "span_text": "Step 1: Multiply 22 and 14 to get 308.", "extraction_type": "internal", "span_start": 5834, "span_end": 5874, "original_span": "Step 1: Multiply 22 and 14 to get 308."}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6471... | [[{"is_correct": false, "error": "Error evaluating final answer", "answer_block": "Step 1: Multiply 22 and 14 to get 308.", "final_answer": null}, {"is_correct": false, "error": "Error evaluating final answer", "answer_block": "Step 1: Multiply 22 and 14 to get 308.", "final_answer": null}, {"is_correct": false, "error... | {
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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 [52, 16], create an equation that equals 832. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 16*52 | 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 [52, 16], create an equation that equals 832. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 3958, \"numbers\": [52, 16], \"target\": 832, \"expression\": \"16*52\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 3958, "numbers": [52, 16], "target": 832, "expression": "16*52"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [52, 16] and need to make an equation that equals 832 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 832. Since 832 is a fairly large number, mul... | [
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false,
false
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"",
"",
"",
""
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true,
false,
false,
true
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"52 * 16 = 832",
"(16 × 52)",
"Step 1: 52 × 16 = 832",
"(52 * 16)"
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"52 * 16 = 832"
],
[
"(16 × 52)",
"(16 × 52)"
],
[
"Step 1: 52 × 16 = 832",
"Step 1: 52 × 16 = 832"
],
[
"(your answer)",
"(52 * 16) = 832",
"Step 1: 52 * 16 = 832",
"(52 * 16)",
"(52 * 16)"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3974, "span_text": "52 * 16 = 832", "extraction_type": "internal", "span_start": 3974, "span_end": 3987, "original_span": "52 * 16 = 832"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 3881, "span_text": "(16 \u00d7 52)", "extraction_typ... | [[{"is_correct": true, "error": null, "answer_block": "52 * 16 = 832", "final_answer": 832.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(16 \u00d7 52)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(16 \u00d7 52)", "fin... | {
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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 [57, 78], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 57 + 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 [57, 78], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 4202, \"numbers\": [57, 78], \"target\": 135, \"expression\": \"57 + 78\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 4202, "numbers": [57, 78], "target": 135, "expression": "57 + 78"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [57, 78] and need to make 135 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 135. Since 135 is larger than both 57 and 78, I probably need to mul... | [
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false,
false,
false
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"",
"",
"",
""
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true,
true,
true
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"57 + 78 = 135",
"57 + 78 = 135",
"(57 + 78)"
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],
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],
[
"(57 + 78) = 135",
"57 + 78 = 135"
],
[
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1983, "span_text": "Step 1: 57 + 78 = 135", "extraction_type": "internal", "span_start": 1983, "span_end": 2006, "original_span": "Step 1: 57 + 78 = 135"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3237, "span_text": "(1 + 2) / 3", "ext... | [[{"is_correct": true, "error": null, "answer_block": "Step 1: 57 + 78 = 135", "final_answer": 135.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1 + 2) / 3", "final_answer": 135.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 57 + 78 = 135", "final_answ... | {
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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 [47, 72], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47 + 72 | 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 [47, 72], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 4250, \"numbers\": [47, 72], \"target\": 119, \"expression\": \"47 + 72\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 4250, "numbers": [47, 72], "target": 119, "expression": "47 + 72"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [47, 72] and need to make an equation that equals 119 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 119. Since 119 is larger than both 47 and 72... | [
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false,
false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
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true,
true,
true
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"(47 + 72)",
"Step 1: 47 + 72 = 119",
"Step 1: 47 + 72 = 119",
"47 + 72 = 119"
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"(47 + 72)",
"(47 + 72)"
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"Step 1: 47 + 72 = 119",
"(47 + 72)",
"47 + 72 = 119",
"Step 1: 47 + 72 = 119"
],
[
"(your answer)",
"Step 1: 47 + 72 = 119",
"(your answer)",
"Step 1: 47 + 72 = 119",
"Step 1: 47 + 72 = 119",
"Step 1: 47 + ... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3193, "span_text": "(47 + 72)", "extraction_type": "internal", "span_start": 3193, "span_end": 3202, "original_span": "(47 + 72)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4666, "span_text": "(47 + 72)", "extraction_type": "internal",... | [[{"is_correct": true, "error": null, "answer_block": "(47 + 72)", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "(47 + 72)", "final_answer": 119.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": tru... | {
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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 [43, 7], create an equation that equals 301. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 43*7 | 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 [43, 7], create an equation that equals 301. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 4302, \"numbers\": [43, 7], \"target\": 301, \"expression\": \"43*7\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 4302, "numbers": [43, 7], "target": 301, "expression": "43*7"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [43, 7] and need to make 301 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 301. Since 43 and 7 are both fairly large, multiplication might be in... | [
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false,
false,
false
] | [
"",
"",
"",
""
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false,
true,
true,
true
] | [
"(43 × 7) = 301",
"7 * 43 = 301",
"43 * 7 = 301",
"(43 * 7)"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 6026, "span_end": 6042, "original_span": "(43 \u00d7 7) = 301"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 5685, "span_end": 5699, "original_span": "7 * 43 = 301"}, {"extr... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(43 \u00d7 7) = 301", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "7 * 43 = 301", "final_answer": 301.0}, {"is_correct": true, "error": null, "answer_block": "43 * 7 = 301", "final_answer": 301.0}, {"is_corr... | [
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false,
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[
"(43 × 7) = 301",
"(43 × 7) = 301"
],
[
"(your answer)",
"7 * 43 = 301",
"7 * 43 = 301"
],
[
"43 * 7 = 301",
"43 * 7 = 301"
],
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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, 2], create an equation that equals 170. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 85*2 | 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, 2], create an equation that equals 170. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 4405, \"numbers\": [85, 2], \"target\": 170, \"expression\": \"85*2\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 4405, "numbers": [85, 2], "target": 170, "expression": "85*2"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [85, 2] and need to make 170 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 170. Since 85 is larger than 2, I probably want to multiply or add so... | [
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false,
false,
false
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"",
"",
"",
""
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true,
true,
false,
true
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"85 * 2 = 170",
"85 * 2 = 170",
"\\( 85 \\times 2 = 170 \\)",
"85 * 2 = 170"
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[
"85 * 2 = 170",
"(85 * 2) = 170",
"(your answer)",
"85 * 2 = 170"
],
[
"(your answer)",
"\\( 85 \\times 2 = 170 \\)"
],
[
"85 * 2 = 170"
]
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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 [36, 26], create an equation that equals 936. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 26*36 | 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 [36, 26], create an equation that equals 936. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 4458, \"numbers\": [36, 26], \"target\": 936, \"expression\": \"26*36\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 4458, "numbers": [36, 26], "target": 936, "expression": "26*36"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [36, 26] and need to make an equation that equals 936 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to get from these two numbers to 936. Since 936 is larger than both 36 and 26, multiplication... | [
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"(36 × 26)",
"36 * 26 = 936",
"(36 * 26) = 936",
"(36 * 26) = 936"
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"(your answer)",
"(36 × 26)",
"(36 × 26)"
],
[
"36 * 26 = 936"
],
[
"(36 * 26) = 936",
"(36 * 26) = 936"
],
[
"(your answer)",
"(36 * 26) = 936"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3298, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 3298, "span_end": 3311, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4480, "span_text": "(36 \u00d7 26)", "extraction_type"... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(36 \u00d7 26)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block... | {
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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 [65, 98], create an equation that equals 163. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 65 + 98 | 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 [65, 98], create an equation that equals 163. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 4654, \"numbers\": [65, 98], \"target\": 163, \"expression\": \"65 + 98\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 4654, "numbers": [65, 98], "target": 163, "expression": "65 + 98"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [65, 98] and need to make an equation that equals 163 using addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to get from 65 and 98 to 163. Since 163 is larger than both 65 and 98, I probably need to add something or multiply. But m... | [
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true,
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"98 + 65 = 163",
"(98 + 65) = 163",
"65 + 98 = 163",
"65 + 98 = 163"
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[
"98 + 65 = 163"
],
[
"(your answer)",
"(98 + 65) = 163",
"(98 + 65) = 163"
],
[
"(your answer)",
"65 + 98 = 163",
"(1 + 2) / 3",
"65 + 98 = 163"
],
[
"(your answer)",
"65 + 98 = 163",
"65 + 98 = 163"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 7635, "span_text": "98 + 65 = 163", "extraction_type": "internal", "span_start": 7635, "span_end": 7650, "original_span": "98 + 65 = 163"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 4682, "span_text": "(your answer)", "extraction_type... | [[{"is_correct": true, "error": null, "answer_block": "98 + 65 = 163", "final_answer": 163.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(98 + 65) = 163", "final_answer": 163.0}, {"is_cor... | {
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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, 19], create an equation that equals 627. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 19*33 | 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 [33, 19], create an equation that equals 627. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 4761, \"numbers\": [33, 19], \"target\": 627, \"expression\": \"19*33\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 4761, "numbers": [33, 19], "target": 627, "expression": "19*33"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [33, 19] and need to make an equation that equals 627 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 627. Since 627 is fairly large, multiplicati... | [
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false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
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"(33 × 19) = 627",
"33 * 19",
"33 * 19",
"33 * 19 = 627"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 3692, "span_end": 3709, "original_span": "(33 \u00d7 19) = 627"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4601, "span_end": 4610, "original_span": "33 * 19"}, {"extracti... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(33 \u00d7 19) = 627", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "33 * 19", "final_answer": 627.0}, {"is_correct": true, "error": null, "answer_block": "33 * 19", "final_answer": 627.0}, {"is_correct": tru... | [
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"(your answer)",
"(33 × 19) = 627"
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[
"(33 * 19) = 627",
"33 * 19"
],
[
"(your answer)",
"33 * 19"
],
[
"(your answer)",
"33 * 19 = 627"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2222, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 2222, "span_end": 2235, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3692, "span_text": "(33 \u00d7 19) = 627", "extraction... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(33 \u00d7 19) = 627", "final_answer": null}], [{"is_correct": true, "error": null, "answer_block": "(33 * 19) = 627"... | {
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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 [67, 9], create an equation that equals 603. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 9*67 | 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 [67, 9], create an equation that equals 603. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5002, \"numbers\": [67, 9], \"target\": 603, \"expression\": \"9*67\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5002, "numbers": [67, 9], "target": 603, "expression": "9*67"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [67, 9] and need to make 603 using addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI should consider what operations might get me close to 603. Since 603 is larger than both 67 and 9, I probably need to multiply them or add something wit... | [
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false,
false
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"",
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true,
true,
false,
true
] | [
"(9 * 67) = 603",
"67 * 9 = 603",
"(67 × 9)",
"67 * 9"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4454, "span_end": 4470, "original_span": "(9 * 67) = 603"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 5420, "span_end": 5434, "original_span": "67 * 9 = 603"}, {"extractio... | [{"is_correct": true, "error": null, "answer_block": "(9 * 67) = 603", "final_answer": 603.0}, {"is_correct": true, "error": null, "answer_block": "67 * 9 = 603", "final_answer": 603.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(67 \u00d7 9)", "final_answer": null}, {"is_correct"... | [
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[
"(your answer)",
"(9 * 67) = 603"
],
[
"67 * 9 = 603",
"67 * 9 = 603",
"67 * 9 = 603"
],
[
"(67 × 9)",
"(your answer)",
"Step 1: 1 + 2 = 3",
"(1 + 2) / 3",
"(67 × 9)",
"(67 × 9)"
],
[
"67 = (603 / 9)",
"(1 + 2) / 3",
"67 * 9",
"67 * 9"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3446, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 3446, "span_end": 3459, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4454, "span_text": "(9 * 67) = 603", "extraction_type"... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(9 * 67) = 603", "final_answer": 603.0}], [{"is_correct": true, "error": null, "answer_block": "67 * 9 = 603", "final_answer": 603.0}, {"is_corre... | {
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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, 60], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 60 + 100 | 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 [100, 60], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /)... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5006, \"numbers\": [100, 60], \"target\": 160, \"expression\": \"60 + 100\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5006, "numbers": [100, 60], "target": 160, "expression": "60 + 100"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [100, 60] and need to make 160 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 160. Since 160 is larger than both 100 and 60 individually, I proba... | [
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false,
false
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"",
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true,
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"100 + 60",
"100 + 60 = 160",
"100 + 60",
"100 + 60"
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[
"100 + 60",
"100 + 60"
],
[
"100 + 60 = 160",
"100 + 60 = 160"
],
[
"100 + 60 = 160",
"100 + 60"
],
[
"(your answer)",
"100 + 60 = 160",
"100 + 60"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3968, "span_text": "100 + 60", "extraction_type": "internal", "span_start": 3968, "span_end": 3978, "original_span": "100 + 60"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4880, "span_text": "100 + 60", "extraction_type": "internal", "s... | [[{"is_correct": true, "error": null, "answer_block": "100 + 60", "final_answer": 160.0}, {"is_correct": true, "error": null, "answer_block": "100 + 60", "final_answer": 160.0}], [{"is_correct": true, "error": null, "answer_block": "100 + 60 = 160", "final_answer": 160.0}, {"is_correct": true, "error": null, "answer_bl... | {
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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, 20], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 20 + 89 | 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 [89, 20], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5009, \"numbers\": [89, 20], \"target\": 109, \"expression\": \"20 + 89\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5009, "numbers": [89, 20], "target": 109, "expression": "20 + 89"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [89, 20] and need to make an equation that equals 109 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nI need to combine these two numbers to get 109. Since 109 is larger than both 89 and 20, I probably need to add them first becaus... | [
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false,
false
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"",
"",
"",
""
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true,
true,
true,
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"89 + 20 = 109",
"89 + 20 = 109",
"Step 1: 89 + 20 = 109",
"Step 1: 89 + 20 = 109"
] | [{"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 4822, "span_end": 4837, "original_span": "89 + 20 = 109"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 4025, "span_end": 4040, "original_span": "89 + 20 = 109"}, {"extractio... | [{"is_correct": true, "error": null, "answer_block": "89 + 20 = 109", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "89 + 20 = 109", "final_answer": 109.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 89 + 20 = 109", "final_answer": 109.0}, {"is_correct": true, "error": nu... | [
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"(your answer)",
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],
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"89 + 20 = 109"
],
[
"(your answer)",
"89 + 20 = 109",
"Step 1: 89 + 20 = 109"
],
[
"(your answer)",
"Step 1: 89 + 20 = 109",
"(89 + 20)",... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2884, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 2884, "span_end": 2897, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3332, "span_text": "89 + 20 = 109", "extraction_type":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "89 + 20 = 109", "final_answer": 109.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1 + 2) / 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 [7, 44], create an equation that equals 308. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 7*44 | 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 [7, 44], create an equation that equals 308. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5011, \"numbers\": [7, 44], \"target\": 308, \"expression\": \"7*44\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5011, "numbers": [7, 44], "target": 308, "expression": "7*44"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [7, 44] and need to make an equation that equals 308 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nThe target is 308. Since 44 times something might not get close, let me see what 44 multiplied by 6 w... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
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true,
false,
true
] | [
"Step 1: 7 × 44 = 308",
"44 * 7 = 308",
"44 × 7",
"(7 * 44) = 308"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 3547, "span_end": 3569, "original_span": "Step 1: 7 \u00d7 44 = 308"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 5779, "span_end": 5791, "original_span": "44 * 7 = 308"}, ... | [{"is_correct": false, "error": "Could not evaluate line: Step 1: 7 \u00d7 44 = 308", "answer_block": "Step 1: 7 \u00d7 44 = 308", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "44 * 7 = 308", "final_answer": 308.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_bl... | [
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"Step 1: 7 × 44 = 308"
],
[
"44 * 7 = 308",
"(your answer)",
"44 * 7 = 308"
],
[
"(your answer)",
"44 × 7 = 308",
"44 × 7",
"44×7",
"44 × 7"
],
[
"(your answer)",
"(7 * 44) = 308"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3547, "span_text": "Step 1: 7 \u00d7 44 = 308", "extraction_type": "internal", "span_start": 3547, "span_end": 3569, "original_span": "Step 1: 7 \u00d7 44 = 308"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 3175, "span_text": "44 * 7 =... | [[{"is_correct": false, "error": "Could not evaluate line: Step 1: 7 \u00d7 44 = 308", "answer_block": "Step 1: 7 \u00d7 44 = 308", "final_answer": null}], [{"is_correct": true, "error": null, "answer_block": "44 * 7 = 308", "final_answer": 308.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer... | {
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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, 99], create an equation that equals 190. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 99 + 91 | 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 [91, 99], create an equation that equals 190. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5014, \"numbers\": [91, 99], \"target\": 190, \"expression\": \"99 + 91\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5014, "numbers": [91, 99], "target": 190, "expression": "99 + 91"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [91, 99] and need to make 190 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 190. Since 91 and 99 are both fairly large, maybe multiplying them w... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"91 + 99 = 190",
"99 + 91 = 190",
"(91 + 99) = 190",
"91 + 99 = 190"
] | [{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 4677, "span_end": 4692, "original_span": "91 + 99 = 190"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 3933, "span_end": 3948, "original_span": "99 + 91 = 190"}, {"extractio... | [{"is_correct": true, "error": null, "answer_block": "91 + 99 = 190", "final_answer": 190.0}, {"is_correct": true, "error": null, "answer_block": "99 + 91 = 190", "final_answer": 190.0}, {"is_correct": true, "error": null, "answer_block": "(91 + 99) = 190", "final_answer": 190.0}, {"is_correct": true, "error": null, "a... | [
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[
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"91 + 99 = 190",
"(your answer)",
"91 + 99 = 190"
],
[
"99 + 91 = 190",
"99 + 91 = 190"
],
[
"(91 + 99) = 190",
"(91 + 99) = 190"
],
[
"(your answer)",
"91 + 99 = 190",
"91 + 99 = 190"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3417, "span_text": "91 + 99 = 190", "extraction_type": "internal", "span_start": 3417, "span_end": 3430, "original_span": "91 + 99 = 190"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3608, "span_text": "(your answer)", "extraction_type":... | [[{"is_correct": true, "error": null, "answer_block": "91 + 99 = 190", "final_answer": 190.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "91 + 99 = 190", "final_answer": 190.0}], [{"is_corre... | {
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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, 56], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 63 + 56 | 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 [63, 56], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5015, \"numbers\": [63, 56], \"target\": 119, \"expression\": \"63 + 56\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5015, "numbers": [63, 56], "target": 119, "expression": "63 + 56"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [63, 56] and need to make an equation that equals 119 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 119. Since 119 is larger than both 63 and 56... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
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true,
true,
true
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"63 + 56",
"Step 1: 63 + 56 = 119",
"63 + 56",
"63 + 56 = 119"
] | [{"extraction_type": "final", "total_spans_found": 7, "non_overlapping_spans": 7, "span_start": 7911, "span_end": 7920, "original_span": "63 + 56"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4645, "span_end": 4668, "original_span": "Step 1: 63 + 56 = 119"}, {"extract... | [{"is_correct": true, "error": null, "answer_block": "63 + 56", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 63 + 56 = 119", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "63 + 56", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_... | [
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"(1 + 2) / 3",
"63 + 56",
"63 + 56",
"63 + 56"
],
[
"(your answer)",
"Step 1: 63 + 56 = 119"
],
[
"63 + 56 = 119",
"(63 + 56)",
"63 + 56"
],
[
"(your answer)",
"63 + 56 = 119"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2753, "span_text": "(63 + 56)", "extraction_type": "internal", "span_start": 2753, "span_end": 2764, "original_span": "(63 + 56)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3299, "span_text": "(your answer)", "extraction_type": "intern... | [[{"is_correct": true, "error": null, "answer_block": "(63 + 56)", "final_answer": 119.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(63 + 56)", "final_answer": 119.0}, {"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 [8, 73], create an equation that equals 584. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 8*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 [8, 73], create an equation that equals 584. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5018, \"numbers\": [8, 73], \"target\": 584, \"expression\": \"8*73\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5018, "numbers": [8, 73], "target": 584, "expression": "8*73"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [8, 73] and need to make an equation that equals 584 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nThe target is 584. I should look for ways to combine these numbers to get close to 584.\n\nSince 73 i... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
false,
true
] | [
"(73 * 8) = 584",
"Step 1: 73 * 8 = 584",
"(73 × 8)",
"Step 1: 8 * 73 = 584"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4363, "span_end": 4379, "original_span": "(73 * 8) = 584"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 4654, "span_end": 4676, "original_span": "Step 1: 73 * 8 = 584"}, {"e... | [{"is_correct": true, "error": null, "answer_block": "(73 * 8) = 584", "final_answer": 584.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 73 * 8 = 584", "final_answer": 584.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(73 \u00d7 8)", "final_answer": null}, {"is_... | [
[
true,
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[
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[
false
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false,
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] | [
[
"(73 * 8) = 584",
"(73 * 8) = 584"
],
[
"Step 1: 73 * 8 = 584"
],
[
"(73 × 8)"
],
[
"(your answer)",
"Step 1: 8 * 73 = 584",
"Step 1: Multiply 8 and 73 to get 584.",
"Step 1: 8 * 73 = 584"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2970, "span_text": "(73 * 8) = 584", "extraction_type": "internal", "span_start": 2970, "span_end": 2986, "original_span": "(73 * 8) = 584"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4363, "span_text": "(73 * 8) = 584", "extraction_typ... | [[{"is_correct": true, "error": null, "answer_block": "(73 * 8) = 584", "final_answer": 584.0}, {"is_correct": true, "error": null, "answer_block": "(73 * 8) = 584", "final_answer": 584.0}], [{"is_correct": true, "error": null, "answer_block": "Step 1: 73 * 8 = 584", "final_answer": 584.0}], [{"is_correct": false, "err... | {
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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, 74], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 42 + 74 | 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 [42, 74], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5022, \"numbers\": [42, 74], \"target\": 116, \"expression\": \"42 + 74\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5022, "numbers": [42, 74], "target": 116, "expression": "42 + 74"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [42, 74] and I need to make an equation that equals 116 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nI need to combine these two numbers to get 116. Since 116 is larger than both 42 and 74, I probabl... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
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"42 + 74 = 116",
"74 + 42 = 116",
"42 + 74 = 116",
"42 + 74 = 116"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 5185, "span_end": 5200, "original_span": "42 + 74 = 116"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 5736, "span_end": 5751, "original_span": "74 + 42 = 116"}, {"extractio... | [{"is_correct": true, "error": null, "answer_block": "42 + 74 = 116", "final_answer": 116.0}, {"is_correct": true, "error": null, "answer_block": "74 + 42 = 116", "final_answer": 116.0}, {"is_correct": true, "error": null, "answer_block": "42 + 74 = 116", "final_answer": 116.0}, {"is_correct": true, "error": null, "ans... | [
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"(your answer)",
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[
"74 + 42 = 116",
"74 + 42 = 116"
],
[
"42 + 74 = 116",
"42 + 74 = 116"
],
[
"42 + 74 = 116",
"42 + 74 = 116"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3324, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 3324, "span_end": 3337, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5185, "span_text": "42 + 74 = 116", "extraction_type":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "42 + 74 = 116", "final_answer": 116.0}], [{"is_correct": true, "error": null, "answer_block": "74 + 42 = 116", "final_answer": 116.0}, {"is_corre... | {
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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, 16], create an equation that equals 320. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 16*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 [20, 16], create an equation that equals 320. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5025, \"numbers\": [20, 16], \"target\": 320, \"expression\": \"16*20\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5025, "numbers": [20, 16], "target": 320, "expression": "16*20"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [20, 16] and need to make an equation that equals 320 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 320. Since 320 is a fairly large number, mul... | [
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false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"20 * 16",
"Step 1: 20 * 16 = 320",
"(20 * 16)",
"20 * 16 = 320"
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"(your answer)",
"20 * 16"
],
[
"20 * 16 = 320",
"20 * 16 = 320",
"Step 1: 20 * 16 = 320"
],
[
"(your answer)",
"(20 * 16)"
],
[
"(your answer)",
"20 * 16 = 320",
"20 * 16 = 320"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4719, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 4719, "span_end": 4732, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5564, "span_text": "20 * 16", "extraction_type": "inte... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "20 * 16", "final_answer": 320.0}], [{"is_correct": true, "error": null, "answer_block": "20 * 16 = 320", "final_answer": 320.0}, {"is_correct": t... | {
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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, 81], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33 + 81 | 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 [33, 81], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5037, \"numbers\": [33, 81], \"target\": 114, \"expression\": \"33 + 81\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5037, "numbers": [33, 81], "target": 114, "expression": "33 + 81"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [33, 81] and need to make an equation that equals 114 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 114. Since 114 is larger than both 33 and 81... | [
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false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
false,
true,
false,
true
] | [
"Step 1: 81 - 33 = 48 \nStep 2: 48 + 33 = 81",
"81 + 33 = 114",
"\\(33 + 81\\)",
"33 + 81 = 114"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 10370, "span_end": 10417, "original_span": "Step 1: 81 - 33 = 48 \nStep 2: 48 + 33 = 81"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 4749, "span_end": 4762, "original_spa... | [{"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 48 + 33 = 81", "answer_block": "Step 1: 81 - 33 = 48 \nStep 2: 48 + 33 = 81", "final_answer": 81.0}, {"is_correct": true, "error": null, "answer_block": "81 + 33 = 114", "final_answer": 114.0}, {"is_correct": false, "error": "Could not evaluate ex... | [
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"Step 1: 81 - 33 = 48 \nStep 2: 48 + 33 = 81"
],
[
"(your answer)",
"(81 + 33) = 114",
"81 + 33 = 114"
],
[
"\\(33 + 81\\)"
],
[
"(your answer)",
"33 + 81 = 114"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 10370, "span_text": "Step 1: 81 - 33 = 48 \nStep 2: 48 + 33 = 81", "extraction_type": "internal", "span_start": 10370, "span_end": 10417, "original_span": "Step 1: 81 - 33 = 48 \nStep 2: 48 + 33 = 81"}], [{"pattern_used": "answer tag", "confidence": 1.0,... | [[{"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 48 + 33 = 81", "answer_block": "Step 1: 81 - 33 = 48 \nStep 2: 48 + 33 = 81", "final_answer": 81.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "e... | {
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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 [74, 80], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 80 + 74 | 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, 80], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5041, \"numbers\": [74, 80], \"target\": 154, \"expression\": \"80 + 74\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5041, "numbers": [74, 80], "target": 154, "expression": "80 + 74"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [74, 80] and need to make an equation that equals 154 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 154. Since 154 is larger than both 74 and 80, I probably need to add or m... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"74 + 80 = 154",
"74 + 80 = 154",
"Step 1: 74 + 80 = 154",
"(74 + 80) = 154"
] | [{"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 7892, "span_end": 7907, "original_span": "74 + 80 = 154"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 7779, "span_end": 7794, "original_span": "74 + 80 = 154"}, {"extractio... | [{"is_correct": true, "error": null, "answer_block": "74 + 80 = 154", "final_answer": 154.0}, {"is_correct": true, "error": null, "answer_block": "74 + 80 = 154", "final_answer": 154.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 74 + 80 = 154", "final_answer": 154.0}, {"is_correct": true, "error": nu... | [
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"(your answer)",
"74 + 80 = 154",
"(your answer)",
"(1 + 2) / 3",
"74 + 80 = 154"
],
[
"(your answer)",
"74 + 80 = 154"
],
[
"Step 1: 74 + 80 = 154"
],
[
"(74 + 80) = 154"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4542, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 4542, "span_end": 4555, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4980, "span_text": "74 + 80 = 154", "extraction_type":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "74 + 80 = 154", "final_answer": 154.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_a... | {
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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, 63], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 49 + 63 | 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 [49, 63], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5043, \"numbers\": [49, 63], \"target\": 112, \"expression\": \"49 + 63\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5043, "numbers": [49, 63], "target": 112, "expression": "49 + 63"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [49, 63] and need to make 112 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nThe target is 112. I should look at the numbers and see how they might combine to get close to 112.\n\n49 and 63 seem fairly... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
false
] | [
"49 + 63 = 112",
"Step 1: 49 + 63 = 112",
"(49 + 63) = 112",
"49 × 14"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 5074, "span_end": 5089, "original_span": "49 + 63 = 112"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 6749, "span_end": 6770, "original_span": "Step 1: 49 + 63 = 112"}, {"e... | [{"is_correct": true, "error": null, "answer_block": "49 + 63 = 112", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 49 + 63 = 112", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "(49 + 63) = 112", "final_answer": 112.0}, {"is_correct": false, "error":... | [
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[
"49 + 63 = 112",
"49 + 63 = 112"
],
[
"49 + 63 = 112",
"Step 1: 49 + 63 = 112"
],
[
"(your answer)",
"63 + 49 = 112",
"(your answer)",
"(49 + 63) = 112"
],
[
"(your answer)",
"49 × 14"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4012, "span_text": "49 + 63 = 112", "extraction_type": "internal", "span_start": 4012, "span_end": 4025, "original_span": "49 + 63 = 112"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5074, "span_text": "49 + 63 = 112", "extraction_type":... | [[{"is_correct": true, "error": null, "answer_block": "49 + 63 = 112", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "49 + 63 = 112", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "49 + 63 = 112", "final_answer": 112.0}, {"is_correct": true, "error": null, "... | {
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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 [35, 92], create an equation that equals 127. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 92 + 35 | 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 [35, 92], create an equation that equals 127. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5049, \"numbers\": [35, 92], \"target\": 127, \"expression\": \"92 + 35\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5049, "numbers": [35, 92], "target": 127, "expression": "92 + 35"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [35, 92] and need to make an equation that equals 127 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 127. Since 92 is larger than 35, I probably ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"92 + 35",
"92 + 35",
"92 + 35 = 127",
"92 + 35 = 127"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 3582, "span_end": 3591, "original_span": "92 + 35"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 4980, "span_end": 4989, "original_span": "92 + 35"}, {"extraction_type": "fi... | [{"is_correct": true, "error": null, "answer_block": "92 + 35", "final_answer": 127.0}, {"is_correct": true, "error": null, "answer_block": "92 + 35", "final_answer": 127.0}, {"is_correct": true, "error": null, "answer_block": "92 + 35 = 127", "final_answer": 127.0}, {"is_correct": true, "error": null, "answer_block": ... | [
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[
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true,
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[
false,
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] | [
[
"92 + 35"
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[
"(your answer)",
"92 + 35",
"92 + 35",
"92 + 35"
],
[
"(your answer)",
"(1 + 2) / 3",
"92 + 35 = 127"
],
[
"(your answer)",
"92 + 35 = 127"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3582, "span_text": "92 + 35", "extraction_type": "internal", "span_start": 3582, "span_end": 3591, "original_span": "92 + 35"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2940, "span_text": "(your answer)", "extraction_type": "internal... | [[{"is_correct": true, "error": null, "answer_block": "92 + 35", "final_answer": 127.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "92 + 35", "final_answer": 127.0}, {"is_correct": true, "... | {
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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, 21], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 99 + 21 | 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 [99, 21], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5057, \"numbers\": [99, 21], \"target\": 120, \"expression\": \"99 + 21\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5057, "numbers": [99, 21], "target": 120, "expression": "99 + 21"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [99, 21] and need to make an equation that equals 120 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 120. Since 120 is larger than both 99 and 21... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"99 + 21 = 120",
"Step 1: 99 + 21 = 120",
"99 + 21 = 120",
"99 + 21 = 120"
] | [{"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 8285, "span_end": 8300, "original_span": "99 + 21 = 120"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4699, "span_end": 4722, "original_span": "Step 1: 99 + 21 = 120"}, {"e... | [{"is_correct": true, "error": null, "answer_block": "99 + 21 = 120", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 99 + 21 = 120", "final_answer": 120.0}, {"is_correct": true, "error": null, "answer_block": "99 + 21 = 120", "final_answer": 120.0}, {"is_correct": true, "error": nu... | [
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[
true,
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[
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[
"(your answer)",
"(your answer)",
"(1 + 2) / 3",
"Step 1: 1 + 2 = 3",
"99 + 21 = 120"
],
[
"Step 1: 99 + 21 = 120",
"Step 1: 99 + 21 = 120"
],
[
"99 + 21 = 120",
"(99 + 21)",
"99 + 21 = 120",
"99 + 21 = 120"
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[
"99 + 21 = 120"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 5456, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 5456, "span_end": 5469, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6979, "span_text": "(your answer)", "extraction_type":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "ans... | {
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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, 92], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 92 + 69 | 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 [69, 92], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5079, \"numbers\": [69, 92], \"target\": 161, \"expression\": \"92 + 69\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5079, "numbers": [69, 92], "target": 161, "expression": "92 + 69"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [69, 92] and need to make an equation that equals 161 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nThe target is 161. Let me look at the numbers: 69 and 92. Both are fairly large, so multiplication m... | [
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false,
false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
false,
true,
true,
true
] | [
"(92 - 69) × 7",
"69 + 92 = 161",
"69 + 92 = 161",
"69 + 92 = 161"
] | [{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 6428, "span_end": 6443, "original_span": "(92 - 69) \u00d7 7"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4740, "span_end": 4755, "original_span": "69 + 92 = 161"}, {"extr... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(92 - 69) \u00d7 7", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "69 + 92 = 161", "final_answer": 161.0}, {"is_correct": true, "error": null, "answer_block": "69 + 92 = 161", "final_answer": 161.0}, {"is_cor... | [
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[
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[
true,
true,
true
]
] | [
[
"(your answer)",
"(92 - 69) × 7",
"(92 - 69) × 7"
],
[
"(your answer)",
"69 + 92 = 161"
],
[
"69 + 92 = 161",
"69 + 92 = 161"
],
[
"69 + 92 = 161",
"Step 1: 69 + 92 = 161",
"69 + 92 = 161"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4192, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 4192, "span_end": 4205, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5064, "span_text": "(92 - 69) \u00d7 7", "extraction_t... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(92 - 69) \u00d7 7", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_b... | {
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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, 54], create an equation that equals 324. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 54*6 | 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 [6, 54], create an equation that equals 324. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5080, \"numbers\": [6, 54], \"target\": 324, \"expression\": \"54*6\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5080, "numbers": [6, 54], "target": 324, "expression": "54*6"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [6, 54] and I need to make an equation that equals 324 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to get from 6 and 54 to 324. Since 54 is already larger than 324, I probably need to multipl... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
false,
true
] | [
"54 * 6",
"(54 * 6) = 324",
"54 × 6",
"(54 * 6) = 324"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 3858, "span_end": 3866, "original_span": "54 * 6"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 4044, "span_end": 4058, "original_span": "(54 * 6) = 324"}, {"extraction_type... | [{"is_correct": true, "error": null, "answer_block": "54 * 6", "final_answer": 324.0}, {"is_correct": true, "error": null, "answer_block": "(54 * 6) = 324", "final_answer": 324.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "54 \u00d7 6", "final_answer": null}, {"is_correct": true, ... | [
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] | [
[
"(54 * 6)",
"54 * 6"
],
[
"54 * 6 = 324",
"(54 * 6) = 324",
"(54 * 6) = 324"
],
[
"(your answer)",
"54 × 6"
],
[
"(your answer)",
"(54 * 6) = 324"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2585, "span_text": "(54 * 6)", "extraction_type": "internal", "span_start": 2585, "span_end": 2595, "original_span": "(54 * 6)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3858, "span_text": "54 * 6", "extraction_type": "internal", "spa... | [[{"is_correct": true, "error": null, "answer_block": "(54 * 6)", "final_answer": 324.0}, {"is_correct": true, "error": null, "answer_block": "54 * 6", "final_answer": 324.0}], [{"is_correct": true, "error": null, "answer_block": "54 * 6 = 324", "final_answer": 324.0}, {"is_correct": true, "error": null, "answer_block"... | {
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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, 73], create an equation that equals 145. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 72 + 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 [72, 73], create an equation that equals 145. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5101, \"numbers\": [72, 73], \"target\": 145, \"expression\": \"72 + 73\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5101, "numbers": [72, 73], "target": 145, "expression": "72 + 73"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [72, 73] and need to make 145 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 145. Since 72 and 73 are both fairly large, maybe I can multiply the... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"(73 + 72)",
"72 + 73 = 145",
"72 + 73 = 145",
"72 + 73 = 145"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 6193, "span_end": 6204, "original_span": "(73 + 72)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 5588, "span_end": 5603, "original_span": "72 + 73 = 145"}, {"extraction_ty... | [{"is_correct": true, "error": null, "answer_block": "(73 + 72)", "final_answer": 145.0}, {"is_correct": true, "error": null, "answer_block": "72 + 73 = 145", "final_answer": 145.0}, {"is_correct": true, "error": null, "answer_block": "72 + 73 = 145", "final_answer": 145.0}, {"is_correct": true, "error": null, "answer_... | [
[
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[
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false,
true,
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[
"(73 + 72)"
],
[
"72 + 73 = 145"
],
[
"(your answer)",
"72 + 73 = 145"
],
[
"(your answer)",
"72 + 73 = 145",
"72 + 73 = 145"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 6193, "span_text": "(73 + 72)", "extraction_type": "internal", "span_start": 6193, "span_end": 6204, "original_span": "(73 + 72)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 5588, "span_text": "72 + 73 = 145", "extraction_type": "inte... | [[{"is_correct": true, "error": null, "answer_block": "(73 + 72)", "final_answer": 145.0}], [{"is_correct": true, "error": null, "answer_block": "72 + 73 = 145", "final_answer": 145.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct... | {
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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 [51, 81], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 81 + 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 [51, 81], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5102, \"numbers\": [51, 81], \"target\": 132, \"expression\": \"81 + 51\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5102, "numbers": [51, 81], "target": 132, "expression": "81 + 51"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [51, 81] and need to make 132 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nI should consider possible combinations. Since 132 is larger than both 51 and 81, multiplication might be involved because adding or subtracting these wo... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"Step 1: 81 + 51 = 132",
"Step 1: 81 + 51 = 132",
"51 + 81 = 132",
"51 + 81 = 132"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 3671, "span_end": 3694, "original_span": "Step 1: 81 + 51 = 132"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 4246, "span_end": 4269, "original_span": "Step 1: 81 + 51 = 13... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 81 + 51 = 132", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 81 + 51 = 132", "final_answer": 132.0}, {"is_correct": true, "error": null, "answer_block": "51 + 81 = 132", "final_answer": 132.0}, {"is_correct": true, "er... | [
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[
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false,
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[
"Step 1: 81 + 51 = 132"
],
[
"Step 1: 81 + 51 = 132"
],
[
"51 + 81 = 132"
],
[
"(your answer)",
"51 + 81 = 132",
"51 + 81 = 132"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3671, "span_text": "Step 1: 81 + 51 = 132", "extraction_type": "internal", "span_start": 3671, "span_end": 3694, "original_span": "Step 1: 81 + 51 = 132"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 4246, "span_text": "Step 1: 81 + 51 ... | [[{"is_correct": true, "error": null, "answer_block": "Step 1: 81 + 51 = 132", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "Step 1: 81 + 51 = 132", "final_answer": 132.0}], [{"is_correct": true, "error": null, "answer_block": "51 + 81 = 132", "final_answer": 132.0}], [{"is_correct": fa... | {
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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, 23], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 23 + 89 | 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 [89, 23], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5103, \"numbers\": [89, 23], \"target\": 112, \"expression\": \"23 + 89\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5103, "numbers": [89, 23], "target": 112, "expression": "23 + 89"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [89, 23] and need to make an equation that equals 112 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nI should consider possible combinations. Since 112 is larger than both 89 and 23, multiplication might be involved because adding... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"89 + 23 = 112",
"89 + 23",
"Step 1: 89 + 23 = 112",
"Step 1: 89 + 23 = 112"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 5095, "span_end": 5110, "original_span": "89 + 23 = 112"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 4078, "span_end": 4087, "original_span": "89 + 23"}, {"extraction_type... | [{"is_correct": true, "error": null, "answer_block": "89 + 23 = 112", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "89 + 23", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 89 + 23 = 112", "final_answer": 112.0}, {"is_correct": true, "error": null, "a... | [
[
true,
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[
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[
true,
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[
true,
false,
true
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] | [
[
"89 + 23 = 112",
"89 + 23 = 112"
],
[
"89 + 23"
],
[
"Step 1: 89 + 23 = 112",
"Step 1: 89 + 23 = 112"
],
[
"Step 1: 89 + 23 = 112",
"(your answer)",
"Step 1: 89 + 23 = 112"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3506, "span_text": "89 + 23 = 112", "extraction_type": "internal", "span_start": 3506, "span_end": 3519, "original_span": "89 + 23 = 112"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5095, "span_text": "89 + 23 = 112", "extraction_type":... | [[{"is_correct": true, "error": null, "answer_block": "89 + 23 = 112", "final_answer": 112.0}, {"is_correct": true, "error": null, "answer_block": "89 + 23 = 112", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answer_block": "89 + 23", "final_answer": 112.0}], [{"is_correct": true, "error": null, "answ... | {
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0,
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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 [7, 80], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 80*7 | 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 [7, 80], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5111, \"numbers\": [7, 80], \"target\": 560, \"expression\": \"80*7\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5111, "numbers": [7, 80], "target": 560, "expression": "80*7"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [7, 80] and need to make an equation that equals 560 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nI need to combine these two numbers to get 560. Since 80 is already there, I probably want to multiply or divide to get closer to ... | [
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false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
false,
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"(80 × 7)",
"(7 * 80) = 560",
"80 * 7 = 560",
"Step 1: 80 * 7 = 560"
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[
"Step 1: 1 + 2 = 3</Step 2: 3 / 3 = 1",
"(1 + 2) / 3",
"(80 × 7)"
],
[
"(7 × 80) = 560",
"(your answer)",
"(7 * 80) = 560"
],
[
"(your answer)",
"80 * 7 = 560",
"80 * 7 = 560"
],
[
"(your answer)",
"(1 + 2) / 3",
"Step 1: 80 * 7 = 560"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3701, "span_text": "Step 1: 1 + 2 = 3</Step 2: 3 / 3 = 1", "extraction_type": "internal", "span_start": 3701, "span_end": 3737, "original_span": "Step 1: 1 + 2 = 3</Step 2: 3 / 3 = 1"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4341, "s... | [[{"is_correct": false, "error": "Could not evaluate line: Step 1: 1 + 2 = 3</Step 2: 3 / 3 = 1", "answer_block": "Step 1: 1 + 2 = 3</Step 2: 3 / 3 = 1", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1 + 2) / 3", "final_answer": 560.0}, {"is_correct":... | {
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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, 64], create an equation that equals 192. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*64 | 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 [3, 64], create an equation that equals 192. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5112, \"numbers\": [3, 64], \"target\": 192, \"expression\": \"3*64\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5112, "numbers": [3, 64], "target": 192, "expression": "3*64"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [3, 64] and need to make an equation that equals 192 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 192. Since 64 is relatively large, multiplyin... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
false,
false,
false
] | [
"(64 * 3)",
"(3 × 64) = 192",
"64 × 3 = 192",
"64 × 3 = 192"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 3482, "span_end": 3492, "original_span": "(64 * 3)"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 4350, "span_end": 4366, "original_span": "(3 \u00d7 64) = 192"}, {"extracti... | [{"is_correct": true, "error": null, "answer_block": "(64 * 3)", "final_answer": 192.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(3 \u00d7 64) = 192", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "64 \u00d7 3 = 192", "fin... | [
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"(64 * 3)"
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[
"(3 × 64) = 192",
"(your answer)",
"(3 × 64) = 192"
],
[
"64 × 3 = 192"
],
[
"64 × 3 = 192",
"64 × 3 = 192"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3482, "span_text": "(64 * 3)", "extraction_type": "internal", "span_start": 3482, "span_end": 3492, "original_span": "(64 * 3)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 3379, "span_text": "(3 \u00d7 64) = 192", "extraction_type": "... | [[{"is_correct": true, "error": null, "answer_block": "(64 * 3)", "final_answer": 192.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(3 \u00d7 64) = 192", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "fina... | {
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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, 44], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 44 + 79 | 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 [79, 44], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5117, \"numbers\": [79, 44], \"target\": 123, \"expression\": \"44 + 79\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5117, "numbers": [79, 44], "target": 123, "expression": "44 + 79"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [79, 44] and need to make 123 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 123. Since 79 and 44 are both large, maybe I need to multiply them o... | [
false,
false,
false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
false,
true
] | [
"79 + 44",
"(79 + 44)",
"\\(79 + 44\\)",
"79 + 44 = 123"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 5144, "span_end": 5153, "original_span": "79 + 44"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 5140, "span_end": 5149, "original_span": "(79 + 44)"}, {"extraction_type": "... | [{"is_correct": true, "error": null, "answer_block": "79 + 44", "final_answer": 123.0}, {"is_correct": true, "error": null, "answer_block": "(79 + 44)", "final_answer": 123.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(79 + 44\\)", "final_answer": null}, {"is_correct": true, "e... | [
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[
"(your answer)",
"(79 + 44)"
],
[
"(your answer)",
"\\(79 + 44\\)"
],
[
"(your answer)",
"79 + 44 = 123",
"79 + 44 = 123"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3508, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 3508, "span_end": 3521, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5144, "span_text": "79 + 44", "extraction_type": "inte... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "79 + 44", "final_answer": 123.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answe... | {
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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, 88], create an equation that equals 181. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 88 + 93 | 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 [93, 88], create an equation that equals 181. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5119, \"numbers\": [93, 88], \"target\": 181, \"expression\": \"88 + 93\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5119, "numbers": [93, 88], "target": 181, "expression": "88 + 93"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [93, 88] and need to make an equation that equals 181 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nI need to combine these two numbers to get 181. Since 181 is larger than both 93 and 88, I probably ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"93 + 88 = 181",
"93 + 88 = 181",
"Step 1: 93 + 88 = 181",
"(93 + 88)"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 3699, "span_end": 3714, "original_span": "93 + 88 = 181"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 5201, "span_end": 5214, "original_span": "93 + 88 = 181"}, {"extractio... | [{"is_correct": true, "error": null, "answer_block": "93 + 88 = 181", "final_answer": 181.0}, {"is_correct": true, "error": null, "answer_block": "93 + 88 = 181", "final_answer": 181.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 93 + 88 = 181", "final_answer": 181.0}, {"is_correct": true, "error": nu... | [
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"93 + 88 = 181"
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"(your answer)",
"93 + 88 = 181",
"93 + 88 = 181",
"93 + 88 = 181"
],
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],
[
"(93 + 88)",
"(your answer)",
"(93 + 88)",
"(93 + 88)"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3699, "span_text": "93 + 88 = 181", "extraction_type": "internal", "span_start": 3699, "span_end": 3714, "original_span": "93 + 88 = 181"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1992, "span_text": "(your answer)", "extraction_type... | [[{"is_correct": true, "error": null, "answer_block": "93 + 88 = 181", "final_answer": 181.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "93 + 88 = 181", "final_answer": 181.0}, {"is_corre... | {
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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 [80, 2], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 2*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, 2], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5130, \"numbers\": [80, 2], \"target\": 160, \"expression\": \"2*80\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5130, "numbers": [80, 2], "target": 160, "expression": "2*80"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [80, 2] and need to make 160 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 160. Since 160 is larger than both 80 and 2, I probably need to multi... | [
false,
false,
false,
false
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"",
"",
"",
""
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true,
false,
true,
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"80 × 2 = 160",
"80 * 2 = 160",
"80 * 2"
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"80 × 2 = 160",
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"80 × 2 = 160"
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"80 * 2 = 160",
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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, 87], create an equation that equals 137. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 87 + 50 | 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 [50, 87], create an equation that equals 137. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5134, \"numbers\": [50, 87], \"target\": 137, \"expression\": \"87 + 50\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5134, "numbers": [50, 87], "target": 137, "expression": "87 + 50"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [50, 87] and need to make 137 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 137. Since 137 is larger than both 50 and 87, I probably need to add... | [
false,
false,
false,
false
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"",
"",
"",
""
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true,
true,
true,
true
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"(50 + 87)",
"50 + 87 = 137",
"50 + 87",
"50 + 87 = 137"
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[
true,
false,
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],
[
true,
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[
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] | [
[
"(50 + 87)"
],
[
"50 + 87 = 137",
"(your answer)",
"50 + 87 = 137"
],
[
"50 + 87",
"50 + 87"
],
[
"(your answer)",
"50 + 87 = 137",
"50 + 87 = 137"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4816, "span_text": "(50 + 87)", "extraction_type": "internal", "span_start": 4816, "span_end": 4827, "original_span": "(50 + 87)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2316, "span_text": "50 + 87 = 137", "extraction_type": "inte... | [[{"is_correct": true, "error": null, "answer_block": "(50 + 87)", "final_answer": 137.0}], [{"is_correct": true, "error": null, "answer_block": "50 + 87 = 137", "final_answer": 137.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct":... | {
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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 [29, 76], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 29 + 76 | 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 [29, 76], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5139, \"numbers\": [29, 76], \"target\": 105, \"expression\": \"29 + 76\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5139, "numbers": [29, 76], "target": 105, "expression": "29 + 76"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [29, 76] and need to make an equation that equals 105 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 105. Since 105 is larger than both 29 and 76... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"29 + 76 = 105",
"(76 + 29)",
"29 + 76 = 105",
"(29 + 76)"
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] | [
[
"29 + 76 = 105",
"(your answer)",
"29 + 76 = 105"
],
[
"(your answer)",
"(1 + 2) / 3",
"(76 + 29)"
],
[
"(your answer)",
"29 + 76 = 105"
],
[
"(29 + 76)",
"(29 + 76)"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3905, "span_text": "29 + 76 = 105", "extraction_type": "internal", "span_start": 3905, "span_end": 3920, "original_span": "29 + 76 = 105"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4498, "span_text": "(your answer)", "extraction_type":... | [[{"is_correct": true, "error": null, "answer_block": "29 + 76 = 105", "final_answer": 105.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "29 + 76 = 105", "final_answer": 105.0}], [{"is_corre... | {
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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 [18, 12], create an equation that equals 216. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 18*12 | 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 [18, 12], create an equation that equals 216. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5146, \"numbers\": [18, 12], \"target\": 216, \"expression\": \"18*12\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5146, "numbers": [18, 12], "target": 216, "expression": "18*12"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [18, 12] and need to make an equation that equals 216 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 216. Since 216 is a fairly large number, mul... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
false,
true,
false
] | [
"(18 * 12)",
"Step 1: 18 × 12 = 216",
"(18 * 12)",
"(18 × 12)"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 3808, "span_end": 3819, "original_span": "(18 * 12)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 6396, "span_end": 6419, "original_span": "Step 1: 18 \u00d7 12 = 216"}, {"... | [{"is_correct": true, "error": null, "answer_block": "(18 * 12)", "final_answer": 216.0}, {"is_correct": false, "error": "Could not evaluate line: Step 1: 18 \u00d7 12 = 216", "answer_block": "Step 1: 18 \u00d7 12 = 216", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(18 * 12)", "final_ans... | [
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[
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] | [
[
"(18 * 12)"
],
[
"Step 1: 18 × 12 = 216",
"Step 1: 18 × 12 = 216"
],
[
"(18 * 12)"
],
[
"(your answer)",
"(18 × 12)"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3808, "span_text": "(18 * 12)", "extraction_type": "internal", "span_start": 3808, "span_end": 3819, "original_span": "(18 * 12)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 4591, "span_text": "Step 1: 18 \u00d7 12 = 216", "extraction... | [[{"is_correct": true, "error": null, "answer_block": "(18 * 12)", "final_answer": 216.0}], [{"is_correct": false, "error": "Could not evaluate line: Step 1: 18 \u00d7 12 = 216", "answer_block": "Step 1: 18 \u00d7 12 = 216", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate line: Step 1: 18 \u00... | {
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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, 84], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 84 + 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, 84], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5147, \"numbers\": [66, 84], \"target\": 150, \"expression\": \"84 + 66\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5147, "numbers": [66, 84], "target": 150, "expression": "84 + 66"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [66, 84] and need to make an equation that equals 150 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 150. Since 66 and 84 are both fairly large, ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"66 + 84",
"(66 + 84) = 150",
"Step 1: 66 + 84 = 150",
"Step 1: 66 + 84 = 150"
] | [{"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 8457, "span_end": 8466, "original_span": "66 + 84"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 5245, "span_end": 5262, "original_span": "(66 + 84) = 150"}, {"extraction_ty... | [{"is_correct": true, "error": null, "answer_block": "66 + 84", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "(66 + 84) = 150", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 66 + 84 = 150", "final_answer": 150.0}, {"is_correct": true, "error": null, ... | [
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[
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] | [
[
"(your answer)",
"66 + 84 = 150",
"66 + 84 = 150",
"(1 + 2) / 3",
"66 + 84",
"66 + 84"
],
[
"(your answer)",
"(66 + 84) = 150"
],
[
"Step 1: 66 + 84 = 150",
"Step 1: 66 + 84 = 150"
],
[
"Step 1: 66 + 84 = 150",
"Step 1: 66 + 84 = 150"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2806, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 2806, "span_end": 2819, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5029, "span_text": "66 + 84 = 150", "extraction_type":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "66 + 84 = 150", "final_answer": 150.0}, {"is_correct": true, "error": null, "answer_block": "66 + 84 = 150", "final_answer": 150.0}, {"is_correct... | {
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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, 9], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 96 + 9 | 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 [96, 9], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5149, \"numbers\": [96, 9], \"target\": 105, \"expression\": \"96 + 9\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5149, "numbers": [96, 9], "target": 105, "expression": "96 + 9"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers: [96, 9]. I need to use these exactly once with addition, subtraction, multiplication, and division to get 105.\n\nI should consider possible combinations. Since 105 is larger than both 96 and 9, I probably need to add something. But 96 + 9 is 105? Let me calculate: 96 + 9 = 105.... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
false,
true,
true
] | [
"(96 + 9)",
"(96 × 9) ÷ 9",
"(96 + 9)",
"96 + 9 = 105"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4623, "span_end": 4633, "original_span": "(96 + 9)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4849, "span_end": 4863, "original_span": "(96 \u00d7 9) \u00f7 9"}, {"extra... | [{"is_correct": true, "error": null, "answer_block": "(96 + 9)", "final_answer": 105.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(96 \u00d7 9) \u00f7 9", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(96 + 9)", "final_answer": 105.0}, {"is_correct":... | [
[
false,
true
],
[
false,
false
],
[
false,
false,
true
],
[
true,
true,
true
]
] | [
[
"(1 + 2) / 3",
"(96 + 9)"
],
[
"(your answer)",
"(96 × 9) ÷ 9"
],
[
"Step 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1",
"(1 + 2) / 3",
"(96 + 9)"
],
[
"96 + 9 = 105",
"96 + 9 = 105",
"96 + 9 = 105"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3657, "span_text": "(1 + 2) / 3", "extraction_type": "internal", "span_start": 3657, "span_end": 3670, "original_span": "(1 + 2) / 3"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4623, "span_text": "(96 + 9)", "extraction_type": "interna... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1 + 2) / 3", "final_answer": 105.0}, {"is_correct": true, "error": null, "answer_block": "(96 + 9)", "final_answer": 105.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "f... | {
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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 [47, 7], create an equation that equals 329. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 47*7 | 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 [47, 7], create an equation that equals 329. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5151, \"numbers\": [47, 7], \"target\": 329, \"expression\": \"47*7\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5151, "numbers": [47, 7], "target": 329, "expression": "47*7"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [47, 7] and need to make 329 using them with addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI should consider possible combinations. Since 329 is fairly large, multiplication might be involved because adding or subtracting these two num... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
false,
false,
true
] | [
"(7 * 47)",
"(47 × 7) = 329",
"47 × 7 = 329",
"(47 * 7)"
] | [{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 6050, "span_end": 6060, "original_span": "(7 * 47)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 3421, "span_end": 3437, "original_span": "(47 \u00d7 7) = 329"}, {"extracti... | [{"is_correct": true, "error": null, "answer_block": "(7 * 47)", "final_answer": 329.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(47 \u00d7 7) = 329", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "47 \u00d7 7 = 329", "fin... | [
[
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false
],
[
false,
false,
false
],
[
true
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] | [
[
"(your answer)",
"(7 * 47)",
"(7 * 47)"
],
[
"(47 × 7) = 329"
],
[
"(your answer)",
"47 × 7 = 329",
"47 × 7 = 329"
],
[
"(47 * 7)"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3672, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 3672, "span_end": 3685, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4935, "span_text": "(7 * 47)", "extraction_type": "int... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(7 * 47)", "final_answer": 329.0}, {"is_correct": true, "error": null, "answer_block": "(7 * 47)", "final_answer": 329.0}], [{"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 [58, 49], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 49 + 58 | 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 [58, 49], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5155, \"numbers\": [58, 49], \"target\": 107, \"expression\": \"49 + 58\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5155, "numbers": [58, 49], "target": 107, "expression": "49 + 58"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [58, 49] and need to make 107 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 107. Since 107 is larger than both 58 and 49, I probably need to add... | [
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"",
"",
"",
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] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
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"\\(58 + 49\\)",
"(58 + 49)",
"(58 + 49)",
"58 + 49 = 107"
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"(your answer)",
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"(your answer)",
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"(your answer)",
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3211, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 3211, "span_end": 3224, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4567, "span_text": "(58 + 49) = 107", "extraction_type... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(58 + 49) = 107", "final_answer": 107.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(58 + 49\\)", "final... | {
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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 [53, 66], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 53 + 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 [53, 66], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5160, \"numbers\": [53, 66], \"target\": 119, \"expression\": \"53 + 66\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5160, "numbers": [53, 66], "target": 119, "expression": "53 + 66"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [53, 66] and need to make an equation that equals 119 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to combine these two numbers with one of the operations to get 119. Since 119 is larger than ... | [
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false,
false
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"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
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true,
true
] | [
"53 + 66 = 119",
"53 + 66 = 119",
"53 + 66",
"53 + 66 = 119"
] | [{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 4837, "span_end": 4852, "original_span": "53 + 66 = 119"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2900, "span_end": 2915, "original_span": "53 + 66 = 119"}, {"extractio... | [{"is_correct": true, "error": null, "answer_block": "53 + 66 = 119", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "53 + 66 = 119", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "53 + 66", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_bl... | [
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] | [
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"(your answer)",
"53 + 66 = 119",
"53 + 66 = 119"
],
[
"53 + 66 = 119"
],
[
"(your answer)",
"(1 + 2) / 3",
"66 + 53",
"(66 + 53)",
"(1 + 2) / 3",
"53 + 66"
],
[
"53 + 66 = 119",
"53 + 66 = 119"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2513, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 2513, "span_end": 2526, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3411, "span_text": "53 + 66 = 119", "extraction_type":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "53 + 66 = 119", "final_answer": 119.0}, {"is_correct": true, "error": null, "answer_block": "53 + 66 = 119", "final_answer": 119.0}], [{"is_corre... | {
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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, 62], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 55 + 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 [55, 62], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5163, \"numbers\": [55, 62], \"target\": 117, \"expression\": \"55 + 62\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5163, "numbers": [55, 62], "target": 117, "expression": "55 + 62"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [55, 62] and need to make 117 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to get from 55 and 62 to 117. Let me look at the difference between 62 and 55:\n\n62 - 55 = 7\n\nSo if I add 7 to one... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"62 + 55 = 117",
"55 + 62 = 117",
"55 + 62",
"Step 1: 55 + 62 = 117"
] | [{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 7282, "span_end": 7297, "original_span": "62 + 55 = 117"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 4243, "span_end": 4258, "original_span": "55 + 62 = 117"}, {"extractio... | [{"is_correct": true, "error": null, "answer_block": "62 + 55 = 117", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "55 + 62 = 117", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "55 + 62", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_bl... | [
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] | [
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"(your answer)",
"55 + 62 = 117"
],
[
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],
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4804, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 4804, "span_end": 4817, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 6116, "span_text": "(1 + 2) / 3", "extraction_type": "... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1 + 2) / 3", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "62 + 55 = 117", ... | {
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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, 5], create an equation that equals 250. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 50*5 | 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 [50, 5], create an equation that equals 250. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5177, \"numbers\": [50, 5], \"target\": 250, \"expression\": \"50*5\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5177, "numbers": [50, 5], "target": 250, "expression": "50*5"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [50, 5] and need to make 250 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 250. Since 50 multiplied by something gives a big number, but 5 times... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
false
] | [
"(50 * 5)",
"50 * 5",
"Step 1: 5 * 50 = 250",
"(50 * 5) / 5"
] | [{"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 6425, "span_end": 6435, "original_span": "(50 * 5)"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 6796, "span_end": 6802, "original_span": "50 * 5"}, {"extraction_type": "fi... | [{"is_correct": true, "error": null, "answer_block": "(50 * 5)", "final_answer": 250.0}, {"is_correct": true, "error": null, "answer_block": "50 * 5", "final_answer": 250.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 5 * 50 = 250", "final_answer": 250.0}, {"is_correct": false, "error": "Expression do... | [
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false,
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] | [
[
"(50 * 5) = 250",
"(50 * 5) = 250",
"(1 + 2) / 3",
"(50 * 5)"
],
[
"50 * 5",
"50 * 5"
],
[
"Step 1: 5 * 50 = 250",
"Step 1: 5 * 50 = 250"
],
[
"(50 * 5) / 5",
"(your answer)",
"(50 * 5) / 5",
"(50 * 5) / 5"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2952, "span_text": "(50 * 5) = 250", "extraction_type": "internal", "span_start": 2952, "span_end": 2966, "original_span": "(50 * 5) = 250"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4549, "span_text": "(50 * 5) = 250", "extraction_typ... | [[{"is_correct": true, "error": null, "answer_block": "(50 * 5) = 250", "final_answer": 250.0}, {"is_correct": true, "error": null, "answer_block": "(50 * 5) = 250", "final_answer": 250.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1 + 2) / 3", "final_answer": 250.0}, {... | {
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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, 78], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 82 + 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 [82, 78], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5178, \"numbers\": [82, 78], \"target\": 160, \"expression\": \"82 + 78\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5178, "numbers": [82, 78], "target": 160, "expression": "82 + 78"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [82, 78] and need to make 160 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 160. Since 160 is larger than both 82 and 78, I probably need to mul... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"82 + 78 = 160",
"82 + 78 = 160",
"82 + 78 = 160",
"Step 1: 82 + 78 = 160"
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"82 + 78 = 160",
"(82 + 78)",
"82 + 78 = 160"
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[
"82 + 78 = 160",
"(your answer)",
"82 + 78 = 160"
],
[
"(your answer)",
"82 + 78 = 160"
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[
"(your answer)",
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2047, "span_text": "82 + 78 = 160", "extraction_type": "internal", "span_start": 2047, "span_end": 2062, "original_span": "82 + 78 = 160"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2102, "span_text": "(82 + 78)", "extraction_type": "in... | [[{"is_correct": true, "error": null, "answer_block": "82 + 78 = 160", "final_answer": 160.0}, {"is_correct": true, "error": null, "answer_block": "(82 + 78)", "final_answer": 160.0}, {"is_correct": true, "error": null, "answer_block": "82 + 78 = 160", "final_answer": 160.0}], [{"is_correct": true, "error": null, "answ... | {
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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, 59], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 87 + 59 | 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, 59], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5183, \"numbers\": [87, 59], \"target\": 146, \"expression\": \"87 + 59\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5183, "numbers": [87, 59], "target": 146, "expression": "87 + 59"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [87, 59] and need to make an equation that equals 146 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nI need to combine these two numbers with operations to get 146. Since 146 is larger than both 87 and... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
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"87 + 59 = 146",
"87 + 59",
"(87 + 59)",
"87 + 59 = 146"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 2968, "span_end": 2983, "original_span": "87 + 59 = 146"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4265, "span_end": 4274, "original_span": "87 + 59"}, {"extraction_type... | [{"is_correct": true, "error": null, "answer_block": "87 + 59 = 146", "final_answer": 146.0}, {"is_correct": true, "error": null, "answer_block": "87 + 59", "final_answer": 146.0}, {"is_correct": true, "error": null, "answer_block": "(87 + 59)", "final_answer": 146.0}, {"is_correct": true, "error": null, "answer_block"... | [
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[
true,
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],
[
true,
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],
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false,
true,
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]
] | [
[
"(your answer)",
"87 + 59 = 146"
],
[
"87 + 59",
"87 + 59"
],
[
"Step 1: 87 + 59 = 146",
"(87 + 59)",
"(87 + 59)"
],
[
"(your answer)",
"87 + 59 = 146",
"87 + 59 = 146"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2380, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 2380, "span_end": 2393, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2968, "span_text": "87 + 59 = 146", "extraction_type":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "87 + 59 = 146", "final_answer": 146.0}], [{"is_correct": true, "error": null, "answer_block": "87 + 59", "final_answer": 146.0}, {"is_correct": t... | {
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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, 19], create an equation that equals 741. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 39*19 | 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 [39, 19], create an equation that equals 741. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5186, \"numbers\": [39, 19], \"target\": 741, \"expression\": \"39*19\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5186, "numbers": [39, 19], "target": 741, "expression": "39*19"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [39, 19] and I need to make an equation that equals 741 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nThe target is 741. Let me look at the numbers: 39 and 19. Both are relatively small, so multiplication might be involved since ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
false,
false
] | [
"(39 * 19) = 741",
"(39 * 19)",
"Step 1: 39 × 19 = 741",
"(19 × 39)"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 3958, "span_end": 3975, "original_span": "(39 * 19) = 741"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 5192, "span_end": 5203, "original_span": "(39 * 19)"}, {"extraction_... | [{"is_correct": true, "error": null, "answer_block": "(39 * 19) = 741", "final_answer": 741.0}, {"is_correct": true, "error": null, "answer_block": "(39 * 19)", "final_answer": 741.0}, {"is_correct": false, "error": "Could not evaluate line: Step 1: 39 \u00d7 19 = 741", "answer_block": "Step 1: 39 \u00d7 19 = 741", "fi... | [
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[
true,
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],
[
false,
false,
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],
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false
]
] | [
[
"(39 * 19) = 741"
],
[
"(39 * 19)",
"(39 * 19)"
],
[
"Step 1: 39 × 19 = 741",
"(your answer)",
"Step 1: 39 × 19 = 741"
],
[
"(your answer)",
"(19 × 39)",
"(19 × 39)"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3958, "span_text": "(39 * 19) = 741", "extraction_type": "internal", "span_start": 3958, "span_end": 3975, "original_span": "(39 * 19) = 741"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 3927, "span_text": "(39 * 19)", "extraction_type... | [[{"is_correct": true, "error": null, "answer_block": "(39 * 19) = 741", "final_answer": 741.0}], [{"is_correct": true, "error": null, "answer_block": "(39 * 19)", "final_answer": 741.0}, {"is_correct": true, "error": null, "answer_block": "(39 * 19)", "final_answer": 741.0}], [{"is_correct": false, "error": "Could not... | {
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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 [52, 78], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 52 + 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 [52, 78], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5191, \"numbers\": [52, 78], \"target\": 130, \"expression\": \"52 + 78\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5191, "numbers": [52, 78], "target": 130, "expression": "52 + 78"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [52, 78] and need to make an equation that equals 130 using addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 130. Since 130 is larger than both 52 and 78, I probably need to add some... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
false,
true,
true
] | [
"78 + 52",
null,
"78 + 52 = 130",
"52 + 78 = 130"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4934, "span_end": 4943, "original_span": "78 + 52"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 6, "non_overlapping_spans": 6, "span_start": 9889, "span_end": 9904, "original_span": "78 +... | [{"is_correct": true, "error": null, "answer_block": "78 + 52", "final_answer": 130.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "error": null, "answer_block": "78 + 52 = 130", "final_answer": 130.0}, {"is_cor... | [
[
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[],
[
true,
false,
true,
false,
true,
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[
true
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] | [
[
"78 + 52",
"78 + 52"
],
[],
[
"78 + 52 = 130",
"(your answer)",
"78 + 52 = 130",
"(your answer)",
"78 + 52 = 130",
"78 + 52 = 130"
],
[
"52 + 78 = 130"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3788, "span_text": "78 + 52", "extraction_type": "internal", "span_start": 3788, "span_end": 3797, "original_span": "78 + 52"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4934, "span_text": "78 + 52", "extraction_type": "internal", "span... | [[{"is_correct": true, "error": null, "answer_block": "78 + 52", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "78 + 52", "final_answer": 130.0}], [], [{"is_correct": true, "error": null, "answer_block": "78 + 52 = 130", "final_answer": 130.0}, {"is_correct": false, "error": "Could not eva... | {
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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 [47, 20], create an equation that equals 940. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47*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 [47, 20], create an equation that equals 940. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5197, \"numbers\": [47, 20], \"target\": 940, \"expression\": \"47*20\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5197, "numbers": [47, 20], "target": 940, "expression": "47*20"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [47, 20] and need to make 940 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 940. Since 940 is a fairly large number, multiplication might be inv... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
false,
false,
false,
false
] | [
"47 × 20 = 940",
"(47 × 20) = 940",
"(47 × 20) = 940",
"(47 × 20) = 940"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 5805, "span_end": 5820, "original_span": "47 \u00d7 20 = 940"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4748, "span_end": 4765, "original_span": "(47 \u00d7 20) = 940"},... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "47 \u00d7 20 = 940", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(47 \u00d7 20) = 940", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "an... | [
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[
false,
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[
false
],
[
false,
false,
false,
false
]
] | [
[
"47 × 20 = 940"
],
[
"(your answer)",
"(47 × 20) = 940"
],
[
"(47 × 20) = 940"
],
[
"(your answer)",
"Step 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1",
"(1 + 2) / 3",
"(47 × 20) = 940"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 5805, "span_text": "47 \u00d7 20 = 940", "extraction_type": "internal", "span_start": 5805, "span_end": 5820, "original_span": "47 \u00d7 20 = 940"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2582, "span_text": "(your answer)", "extra... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "47 \u00d7 20 = 940", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer... | {
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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, 65], create an equation that equals 715. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 65*11 | 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 [11, 65], create an equation that equals 715. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5200, \"numbers\": [11, 65], \"target\": 715, \"expression\": \"65*11\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5200, "numbers": [11, 65], "target": 715, "expression": "65*11"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [11, 65] and need to make an equation that equals 715 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 715. Since 715 is fairly large, multiplicati... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
false,
false,
true
] | [
"65 * 11 = 715",
"65 × 11 + 55",
"11 × 65 = 715",
"(11 * 65)"
] | [{"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 4440, "span_end": 4455, "original_span": "65 * 11 = 715"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 5257, "span_end": 5271, "original_span": "65 \u00d7 11 + 55"}, {"extra... | [{"is_correct": true, "error": null, "answer_block": "65 * 11 = 715", "final_answer": 715.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "65 \u00d7 11 + 55", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "11 \u00d7 65 = 715", ... | [
[
true,
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[
false,
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],
[
false,
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false
],
[
true
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[
"65 * 11 = 715",
"65 * 11 = 715"
],
[
"(your answer)",
"(65 × 11) + 55",
"65 × 11 + 55"
],
[
"(your answer)",
"11 × 65 = 715",
"11 × 65 = 715"
],
[
"(11 * 65)"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2895, "span_text": "65 * 11 = 715", "extraction_type": "internal", "span_start": 2895, "span_end": 2908, "original_span": "65 * 11 = 715"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4440, "span_text": "65 * 11 = 715", "extraction_type":... | [[{"is_correct": true, "error": null, "answer_block": "65 * 11 = 715", "final_answer": 715.0}, {"is_correct": true, "error": null, "answer_block": "65 * 11 = 715", "final_answer": 715.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_corre... | {
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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, 83], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 83 + 55 | 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 [55, 83], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5201, \"numbers\": [55, 83], \"target\": 138, \"expression\": \"83 + 55\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5201, "numbers": [55, 83], "target": 138, "expression": "83 + 55"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [55, 83] and need to make an equation that equals 138 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 138. Since 138 is larger than both 55 and 83... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"55 + 83 = 138",
"55 + 83 = 138",
"83 + 55 = 138",
"55 + 83 = 138"
] | [{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 4927, "span_end": 4940, "original_span": "55 + 83 = 138"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 5681, "span_end": 5696, "original_span": "55 + 83 = 138"}, {"extractio... | [{"is_correct": true, "error": null, "answer_block": "55 + 83 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "55 + 83 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "83 + 55 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "ans... | [
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[
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[
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[
true,
true,
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[
"55 + 83 = 138",
"(your answer)",
"55 + 83 = 138"
],
[
"(your answer)",
"55 + 83 = 138",
"55 + 83 = 138"
],
[
"83 + 55 = 138"
],
[
"55 + 83 = 138",
"55 + 83 = 138",
"(your answer)",
"55 + 83 = 138"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3500, "span_text": "55 + 83 = 138", "extraction_type": "internal", "span_start": 3500, "span_end": 3513, "original_span": "55 + 83 = 138"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3662, "span_text": "(your answer)", "extraction_type":... | [[{"is_correct": true, "error": null, "answer_block": "55 + 83 = 138", "final_answer": 138.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "55 + 83 = 138", "final_answer": 138.0}], [{"is_corre... | {
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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, 24], create an equation that equals 648. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 24*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, 24], create an equation that equals 648. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5208, \"numbers\": [27, 24], \"target\": 648, \"expression\": \"24*27\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5208, "numbers": [27, 24], "target": 648, "expression": "24*27"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [27, 24] and need to make 648 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 648. Since 648 is a fairly large number, multiplication might be inv... | [
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"",
"",
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"27 × 24 = 648",
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"27 × 24"
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"(27 × 24) = 648",
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"(27 × 24)"
],
[
"(your answer)",
"27 × 24 = 648"
],
[
"(your answer)",
"(27 × 24)"
],
[
"27 × 24"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2717, "span_text": "(27 \u00d7 24) = 648", "extraction_type": "internal", "span_start": 2717, "span_end": 2734, "original_span": "(27 \u00d7 24) = 648"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3071, "span_text": "(your answer)", "ext... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(27 \u00d7 24) = 648", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result... | {
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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, 62], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 62 + 39 | 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 [39, 62], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5209, \"numbers\": [39, 62], \"target\": 101, \"expression\": \"62 + 39\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5209, "numbers": [39, 62], "target": 101, "expression": "62 + 39"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [39, 62] and I need to make an equation that equals 101 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to combine these two numbers to get 101. Since 101 is larger than both 39 and 62, I probabl... | [
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"",
"",
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true,
true,
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"39 + 62 = 101",
"39 + 62 = 101",
"62 + 39 = 101",
"(39 + 62) = 101"
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"39 + 62 = 101"
],
[
"39 + 62 = 101"
],
[
"62 + 39 = 101"
],
[
"(your answer)",
"(39 + 62) = 101"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4459, "span_text": "39 + 62 = 101", "extraction_type": "internal", "span_start": 4459, "span_end": 4474, "original_span": "39 + 62 = 101"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 3627, "span_text": "39 + 62 = 101", "extraction_type... | [[{"is_correct": true, "error": null, "answer_block": "39 + 62 = 101", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "39 + 62 = 101", "final_answer": 101.0}], [{"is_correct": true, "error": null, "answer_block": "62 + 39 = 101", "final_answer": 101.0}], [{"is_correct": false, "error": "C... | {
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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, 89], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 89 + 37 | 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 [37, 89], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5210, \"numbers\": [37, 89], \"target\": 126, \"expression\": \"89 + 37\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5210, "numbers": [37, 89], "target": 126, "expression": "89 + 37"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [37, 89] and need to make 126 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 126. Since 89 is larger than 37, maybe I can multiply them? But 89 t... | [
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false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
true
] | [
"37 + 89 = 126",
"37 + 89",
"37 + 89 = 126",
"(37 + 89)"
] | [{"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 6350, "span_end": 6363, "original_span": "37 + 89 = 126"}, {"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 5400, "span_end": 5407, "original_span": "37 + 89"}, {"extraction_type... | [{"is_correct": true, "error": null, "answer_block": "37 + 89 = 126", "final_answer": 126.0}, {"is_correct": true, "error": null, "answer_block": "37 + 89", "final_answer": 126.0}, {"is_correct": true, "error": null, "answer_block": "37 + 89 = 126", "final_answer": 126.0}, {"is_correct": true, "error": null, "answer_bl... | [
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[
"(your answer)",
"37 + 89 = 126",
"(1 + 2) / 3",
"37 + 89 = 126"
],
[
"(1 + 2) / 3",
"37 + 89",
"37 + 89",
"(your answer)",
"37 + 89"
],
[
"(your answer)",
"37 + 89 = 126",
"37 + 89 = 126"
],
[
"(37 + 89) = 126",
"(37 + 89)"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4354, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 4354, "span_end": 4367, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4510, "span_text": "37 + 89 = 126", "extraction_type":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "37 + 89 = 126", "final_answer": 126.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1 + 2) / 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 [84, 9], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 84*9 | 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 [84, 9], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5217, \"numbers\": [84, 9], \"target\": 756, \"expression\": \"84*9\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5217, "numbers": [84, 9], "target": 756, "expression": "84*9"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [84, 9] and need to make an equation that equals 756 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nThe target is 756. I should look at the numbers and see how they might combine to get close to 756.\n... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
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true,
false,
true
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"84 * 9",
"84 * 9",
"(84 × 9)",
"Step 1: 84 * 9 = 756"
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[
"(your answer)",
"84 * 9"
],
[
"84 * 9 = 756",
"(your answer)",
"84 * 9 = 756",
"(your answer)",
"84 * 9"
],
[
"(84 × 9)"
],
[
"(your answer)",
"Step 1: 84 * 9 = 756"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4476, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 4476, "span_end": 4489, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5721, "span_text": "84 * 9", "extraction_type": "inter... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "84 * 9", "final_answer": 756.0}], [{"is_correct": true, "error": null, "answer_block": "84 * 9 = 756", "final_answer": 756.0}, {"is_correct": fal... | {
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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, 5], create an equation that equals 425. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 85*5 | 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, 5], create an equation that equals 425. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5224, \"numbers\": [85, 5], \"target\": 425, \"expression\": \"85*5\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5224, "numbers": [85, 5], "target": 425, "expression": "85*5"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [85, 5] and I need to make an equation that equals 425 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 425. Since 425 is a fairly large number, mu... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:41869/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_on... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-R1_distilled_baseline_cd3args_only", "n_responses": 4} | 2025-09-24 | [
true,
true,
true,
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"(85 * 5) = 425",
"Step 1: 85 * 5 = 425",
"(85 * 5)",
"Step 1: 85 * 5 = 425"
] | [{"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 5492, "span_end": 5508, "original_span": "(85 * 5) = 425"}, {"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 3345, "span_end": 3367, "original_span": "Step 1: 85 * 5 = 425"}, {"e... | [{"is_correct": true, "error": null, "answer_block": "(85 * 5) = 425", "final_answer": 425.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 85 * 5 = 425", "final_answer": 425.0}, {"is_correct": true, "error": null, "answer_block": "(85 * 5)", "final_answer": 425.0}, {"is_correct": true, "error": null, "... | [
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"(your answer)",
"(85 * 5) = 425",
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"(85 * 5) = 425"
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[
"Step 1: 85 * 5 = 425",
"(85 * 5)",
"Step 1: 85 * 5 = 425"
],
[
"(85 * 5)"
],
[
"(your answer)",
"Step 1: 85 * 5 = 425"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4042, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 4042, "span_end": 4055, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4173, "span_text": "(85 * 5) = 425", "extraction_type"... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(85 * 5) = 425", "final_answer": 425.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1 + 2) / 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 [17, 26], create an equation that equals 442. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 17*26 | 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, 26], create an equation that equals 442. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5230, \"numbers\": [17, 26], \"target\": 442, \"expression\": \"17*26\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5230, "numbers": [17, 26], "target": 442, "expression": "17*26"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [17, 26] and I need to make an equation that equals 442 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nThe target is 442. Let me look at the numbers: 17 and 26. Both are relatively large, so multiplica... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
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false,
false,
false,
false
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"Step 1: 26 × 17 = 442",
"\\(17 \\times 26\\)",
"(17 × 26) = 442",
"(26 × 17)"
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"(your answer)",
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"(your answer)",
"\\(17 \\times 26\\)"
],
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"(1 + 2) / 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 [77, 37], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 37 + 77 | 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 [77, 37], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5232, \"numbers\": [77, 37], \"target\": 114, \"expression\": \"37 + 77\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5232, "numbers": [77, 37], "target": 114, "expression": "37 + 77"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [77, 37] and need to make 114 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 114. Since 77 and 37 are both fairly large, maybe I can multiply the... | [
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false
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"",
"",
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""
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true,
true,
true
] | [
"(77 + 37)",
"77 + 37 = 114",
"(77 + 37)",
"77 + 37 = 114"
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[
"(your answer)",
"77 + 37 = 114",
"77 + 37 = 114"
],
[
"(your answer)",
"(77 + 37)",
"(77 + 37)"
],
[
"77 + 37 = 114"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4006, "span_text": "(your answer)", "extraction_type": "internal", "span_start": 4006, "span_end": 4019, "original_span": "(your answer)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 5895, "span_text": "(77 + 37)", "extraction_type": "in... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(77 + 37)", "final_answer": 114.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_ans... | {
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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, 66], create an equation that equals 164. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 98 + 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 [98, 66], create an equation that equals 164. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5233, \"numbers\": [98, 66], \"target\": 164, \"expression\": \"98 + 66\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5233, "numbers": [98, 66], "target": 164, "expression": "98 + 66"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [98, 66] and need to make 164 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 164. Since 164 is larger than both 98 and 66, I probably need to add... | [
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false,
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"",
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true,
true,
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"98 + 66 = 164",
"Step 1: 98 + 66 = 164",
"66 + 98 = 164",
"Step 1: 98 + 66 = 164"
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[
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"(your answer)",
"(1 + 2) / 3",
"Step 1: 1 + 2 = 3",
"Step 1: 98 + 66 = 164"
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] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4138, "span_text": "98 + 66 = 164", "extraction_type": "internal", "span_start": 4138, "span_end": 4153, "original_span": "98 + 66 = 164"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 4225, "span_text": "Step 1: 98 + 66 = 164", "extract... | [[{"is_correct": true, "error": null, "answer_block": "98 + 66 = 164", "final_answer": 164.0}], [{"is_correct": true, "error": null, "answer_block": "Step 1: 98 + 66 = 164", "final_answer": 164.0}], [{"is_correct": true, "error": null, "answer_block": "66 + 98 = 164", "final_answer": 164.0}], [{"is_correct": true, "err... | {
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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, 67], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 34 + 67 | 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 [34, 67], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5235, \"numbers\": [34, 67], \"target\": 101, \"expression\": \"34 + 67\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5235, "numbers": [34, 67], "target": 101, "expression": "34 + 67"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [34, 67] and need to make 101 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 101. Since 101 is larger than both 34 and 67, I probably need to add... | [
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false,
false
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"",
"",
"",
""
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"Step 1: 34 + 67 = 101",
"Step 1: 67 + 34 = 101",
"34 + 67 = 101"
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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, 11], create an equation that equals 462. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 11*42 | 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 [42, 11], create an equation that equals 462. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5237, \"numbers\": [42, 11], \"target\": 462, \"expression\": \"11*42\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5237, "numbers": [42, 11], "target": 462, "expression": "11*42"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [42, 11] and need to make an equation that equals 462 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 462. Since 462 is a fairly large number, mul... | [
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false,
false,
false
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"",
"",
"",
""
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true,
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false,
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"42 * 11 = 462",
"(42 × 11)",
"42 × 11 = 462",
"42 * 11"
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"42 * 11 = 462",
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"42 * 11 = 462"
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"(42 × 11)",
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[
"42 × 11 = 462",
"42 × 11 = 462"
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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, 17], create an equation that equals 561. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 17*33 | 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 [33, 17], create an equation that equals 561. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5247, \"numbers\": [33, 17], \"target\": 561, \"expression\": \"17*33\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5247, "numbers": [33, 17], "target": 561, "expression": "17*33"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [33, 17] and need to make 561 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 561. Since 561 is a fairly large number, multiplication might be inv... | [
false,
false,
false,
false
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"",
"",
"",
""
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false,
false,
false,
false
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"Step 1: Multiply 33 and 17 to get 561.",
"(33 × 17) = 561",
"Step 1: 33 × 17 = 561",
"(33 × 17) = 561"
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"(your answer)",
"Step 1: Multiply 33 and 17 to get 561.",
"Step 1: Multiply 33 and 17 to get 561."
],
[
"(33 × 17) = 561"
],
[
"(your answer)",
"Step 1: 33 × 17 = 561",
"Step 1: 33 × 17 = 561"
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"(33 × 17) = 561",
"(your answer)",
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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, 26], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 5*26 | countdown_2arg | countdown | [
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"<think>\nI have the numbers [5, 26] and need to make 130 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 130. Since 26 is larger than 5, maybe multiplication will help becaus... | [
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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, 94], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 94 + 19 | countdown_2arg | countdown | [
{
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"<think>\nFirst, I have the numbers [19, 94] and need to make an equation that equals 113 using addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to get from 19 and 94 to 113. Let me look at the numbers: 19 is smaller than 94, but 94 minus something might work. 94 - 7... | [
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"Step 1: 19 + 94 = 113"
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"Step 1: 19 + 94 = 113"
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"94 + 19 = 113"
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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, 81], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 97 + 81 | 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 [97, 81], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5261, \"numbers\": [97, 81], \"target\": 178, \"expression\": \"97 + 81\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5261, "numbers": [97, 81], "target": 178, "expression": "97 + 81"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [97, 81] and need to make 178 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 178. Since 97 and 81 are both fairly large, maybe I can multiply the... | [
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"97 + 81",
"97 + 81",
"97 + 81 = 178"
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"97 + 81 = 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 [37, 13], create an equation that equals 481. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 13*37 | 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 [37, 13], create an equation that equals 481. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5264, \"numbers\": [37, 13], \"target\": 481, \"expression\": \"13*37\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5264, "numbers": [37, 13], "target": 481, "expression": "13*37"} | null | null | null | null | null | null | [
"<think>\nI have the numbers [37, 13] and need to make an equation that equals 481 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 481. Since 481 is a fairly large number, mul... | [
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"(your answer)",
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"(37 × 13) = 481",
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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 [32, 68], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 68 + 32 | 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, 68], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5266, \"numbers\": [32, 68], \"target\": 100, \"expression\": \"68 + 32\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5266, "numbers": [32, 68], "target": 100, "expression": "68 + 32"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [32, 68] and need to make an equation that equals 100 using addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI should consider possible operations. Since 100 is larger than both 32 and 68, I might need to multiply or add to get close. Let... | [
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"32 + 68 = 100",
"32 + 68 = 100"
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"32 + 68 = 100",
"32 + 68 = 100"
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[
"(your answer)",
"(68 + 32) = 100",
"(68 + 32) = 100"
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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, 89], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 89 + 46 | 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 [46, 89], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5269, \"numbers\": [46, 89], \"target\": 135, \"expression\": \"89 + 46\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5269, "numbers": [46, 89], "target": 135, "expression": "89 + 46"} | null | null | null | null | null | null | [
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"46 + 89 = 135"
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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 [45, 71], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 71 + 45 | 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, 71], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5274, \"numbers\": [45, 71], \"target\": 116, \"expression\": \"71 + 45\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5274, "numbers": [45, 71], "target": 116, "expression": "71 + 45"} | null | null | null | null | null | null | [
"<think>\nFirst, I have the numbers [45, 71] and need to make an equation that equals 116 using addition, subtraction, multiplication, and division. Each number can be used only once.\n\nI need to get from 45 and 71 to 116. Let me look at what these numbers are:\n\n- 45 is a multiple of 9 because 45 ÷ 9 = 5, but no... | [
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"45 + 71 = 116",
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"(45 + 71) = 116",
"(your answer)",
"1 + 2 = 3",
"45 + 71 = 116",
"45 + 71",
"45 + 71"
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[
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"(1 + 2) / 3",
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