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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
48 + 73
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6756, \"numbers\": [73, 48], \"target\": 121, \"expression\": \"48 + 73\"}"}
test
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{"source_dataset": "countdown", "source_index": 6756, "numbers": [73, 48], "target": 121, "expression": "48 + 73"}
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[ "To solve this problem, we need to create an equation using the numbers 73 and 48 that equals 121. Let's try different combinations:\n\n1. 73 + 48 = 121\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the answer is:\n<answer>\n73 + 48 = 121\n</answer>" ]
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
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[ "73 + 48 = 121" ]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
14*54
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6685, \"numbers\": [14, 54], \"target\": 756, \"expression\": \"14*54\"}"}
test
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{"source_dataset": "countdown", "source_index": 6685, "numbers": [14, 54], "target": 756, "expression": "14*54"}
null
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[ "To solve this problem, we need to combine the numbers 14 and 54 using basic arithmetic operations to get the target number 756. Let's try different combinations:\n\n1. 14 * 54 = 756\n This combination works!\n\nTherefore, the equation that equals 756 using the numbers 14 and 54 is:\n\n<answer>\n14 * 54 = 756\n</...
[ false ]
[ "" ]
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[ "14 * 54 = 756" ]
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[ [ true ] ]
[ [ "14 * 54 = 756" ] ]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [40, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
40 + 70
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [40, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5824, \"numbers\": [40, 70], \"target\": 110, \"expression\": \"40 + 70\"}"}
test
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{"source_dataset": "countdown", "source_index": 5824, "numbers": [40, 70], "target": 110, "expression": "40 + 70"}
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[ "To create an equation using the numbers 40 and 70 that equals 110, we can try different combinations of operations:\n\n1. Let's start with simple addition:\n 40 + 70 = 110\n\nThis combination works directly to get the target number. Therefore, the equation is:\n\n<answer>\n40 + 70 = 110\n</answer>" ]
[ false ]
[ "" ]
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[ true ]
[ "40 + 70 = 110" ]
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[ [ true ] ]
[ [ "40 + 70 = 110" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "40 + 70 = 110", "final_answer": 110.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [30, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
31*30
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [30, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5930, \"numbers\": [30, 31], \"target\": 930, \"expression\": \"31*30\"}"}
test
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{"source_dataset": "countdown", "source_index": 5930, "numbers": [30, 31], "target": 930, "expression": "31*30"}
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[ "To solve this problem, we need to create an equation using the numbers 30 and 31 that equals 930. Let's try different combinations:\n\n1. 30 * (31 - 1) = 30 * 30 = 900 (not 930)\n2. 30 + 31 = 61 (not 930)\n3. 31 * 30 = 930 (this works!)\n\nSo, the equation that equals 930 is:\n\n<answer>\n31 * 30\n</answer>" ]
[ false ]
[ "" ]
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[ true ]
[ "31 * 30" ]
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[ [ "31 * 30" ] ]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [25, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
25 + 78
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [25, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5864, \"numbers\": [25, 78], \"target\": 103, \"expression\": \"25 + 78\"}"}
test
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{"source_dataset": "countdown", "source_index": 5864, "numbers": [25, 78], "target": 103, "expression": "25 + 78"}
null
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[ "To solve this problem, we need to create an equation using the numbers 25 and 78 that equals 103. Let's try different combinations:\n\n1. 25 + 78 = 103\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
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[ true ]
[ "25 + 78 = 103" ]
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[ [ true ] ]
[ [ "25 + 78 = 103" ] ]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [85, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
76 + 85
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [85, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6120, \"numbers\": [85, 76], \"target\": 161, \"expression\": \"76 + 85\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6120, "numbers": [85, 76], "target": 161, "expression": "76 + 85"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 85 and 76 that equals 161. Let's try different combinations:\n\n1. 85 + 76 = 161\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
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[ true ]
[ "85 + 76 = 161" ]
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[ [ true ] ]
[ [ "85 + 76 = 161" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "85 + 76 = 161", "final_answer": 161.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [45, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
45 + 75
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [45, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5533, \"numbers\": [45, 75], \"target\": 120, \"expression\": \"45 + 75\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5533, "numbers": [45, 75], "target": 120, "expression": "45 + 75"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 45 and 75 that equals 120. Let's try different combinations:\n\n1. 45 + 75 = 120\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "45 + 75 = 120" ]
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[ [ true ] ]
[ [ "45 + 75 = 120" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "45 + 75 = 120", "final_answer": 120.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [62, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
14*62
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [62, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5746, \"numbers\": [62, 14], \"target\": 868, \"expression\": \"14*62\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5746, "numbers": [62, 14], "target": 868, "expression": "14*62"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 62 and 14 that equals 868. Let's try different combinations:\n\n1. 62 * (14 - 0) = 62 * 14 = 868\n This works! The equation is: 62 * (14 - 0)\n\nTherefore, the answer is:\n<answer>\n62 * (14 - 0) = 868\n</answer>" ]
[ false ]
[ "" ]
{"api_url": "http://127.0.0.1:50167/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "prompt": [{"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [62, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ false ]
[ "62 * (14 - 0) = 868" ]
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[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "62 * (14 - 0) = 868", "final_answer": 868.0}]
[ [ false ] ]
[ [ "62 * (14 - 0) = 868" ] ]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [87, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
6*87
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [87, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5021, \"numbers\": [87, 6], \"target\": 522, \"expression\": \"6*87\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5021, "numbers": [87, 6], "target": 522, "expression": "6*87"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 87 and 6 that equals 522. Let's try different combinations:\n\n1. 87 + 6 = 93 (not equal to 522)\n2. 87 - 6 = 81 (not equal to 522)\n3. 87 * 6 = 522 (this works!)\n\nSince we have found a combination that equals 522, we don't need to continue w...
[ false ]
[ "" ]
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[ true ]
[ "87 * 6" ]
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[{"is_correct": true, "error": null, "answer_block": "87 * 6", "final_answer": 522.0}]
[ [ true ] ]
[ [ "87 * 6" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "87 * 6", "final_answer": 522.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [90, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
90 + 66
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [90, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6819, \"numbers\": [90, 66], \"target\": 156, \"expression\": \"90 + 66\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6819, "numbers": [90, 66], "target": 156, "expression": "90 + 66"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 90 and 66 that equals 156. Let's try different combinations:\n\n1. 90 + 66 = 156\n This works! The equation is: 90 + 66 = 156\n\nTherefore, the answer is:\n<answer>\n90 + 66 = 156\n</answer>" ]
[ false ]
[ "" ]
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[ true ]
[ "90 + 66 = 156" ]
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[ [ true ] ]
[ [ "90 + 66 = 156" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "90 + 66 = 156", "final_answer": 156.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [17, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
17 + 92
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [17, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5462, \"numbers\": [17, 92], \"target\": 109, \"expression\": \"17 + 92\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5462, "numbers": [17, 92], "target": 109, "expression": "17 + 92"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 17 and 92 that equals 109. Let's try different combinations:\n\n1. 17 + 92 = 109\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "17 + 92 = 109" ]
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[ [ true ] ]
[ [ "17 + 92 = 109" ] ]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
32*20
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6675, \"numbers\": [32, 20], \"target\": 640, \"expression\": \"32*20\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6675, "numbers": [32, 20], "target": 640, "expression": "32*20"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 32 and 20 that equals 640. Let's try different combinations:\n\n1. 32 * (20 - 0) = 32 * 20 = 640\n This works! The equation is: 32 * (20 - 0)\n\nTherefore, the answer is:\n<answer>\n32 * (20 - 0) = 640\n</answer>" ]
[ false ]
[ "" ]
{"api_url": "http://127.0.0.1:50167/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "prompt": [{"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ false ]
[ "32 * (20 - 0) = 640" ]
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[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "32 * (20 - 0) = 640", "final_answer": 640.0}]
[ [ false ] ]
[ [ "32 * (20 - 0) = 640" ] ]
{"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "32 * (20 - 0) = 640", "start_line": 8, "end_line": 8, "context": "line 8 with the equation inside <answer> tags", "start_pos": 248, "end_pos": 268}], "span_positions": [{"start_pos": 248, "end_pos": 268, "line_range": "8-8"}]}
[[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "32 * (20 - 0) = 640", "final_answer": 640.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
74 + 51
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5279, \"numbers\": [74, 51], \"target\": 125, \"expression\": \"74 + 51\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5279, "numbers": [74, 51], "target": 125, "expression": "74 + 51"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 74 and 51 that equals 125. Let's try different combinations:\n\n1. 74 + 51 = 125\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the final answer is:\n<answer>\n74 + 51 = 125\n</answer>" ]
[ false ]
[ "" ]
{"api_url": "http://127.0.0.1:50167/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "prompt": [{"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "74 + 51 = 125" ]
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[{"is_correct": true, "error": null, "answer_block": "74 + 51 = 125", "final_answer": 125.0}]
[ [ true ] ]
[ [ "74 + 51 = 125" ] ]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
7*80
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5775, \"numbers\": [80, 7], \"target\": 560, \"expression\": \"7*80\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5775, "numbers": [80, 7], "target": 560, "expression": "7*80"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 80 and 7 that equals 560. Let's try different combinations:\n\n1. 80 * 7 = 560\n This works! The equation is already correct.\n\nTherefore, the answer is:\n<answer>\n80 * 7 = 560\n</answer>" ]
[ false ]
[ "" ]
{"api_url": "http://127.0.0.1:50167/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "prompt": [{"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "80 * 7 = 560" ]
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[ [ true ] ]
[ [ "80 * 7 = 560" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "80 * 7 = 560", "final_answer": 560.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [73, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
73 + 80
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6089, \"numbers\": [73, 80], \"target\": 153, \"expression\": \"73 + 80\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6089, "numbers": [73, 80], "target": 153, "expression": "73 + 80"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 73 and 80 that equals 153. Let's try different combinations:\n\n1. 73 + 80 = 153\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "73 + 80 = 153" ]
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[ [ "73 + 80 = 153" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "73 + 80 = 153", "final_answer": 153.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [27, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
84 + 27
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [27, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5705, \"numbers\": [27, 84], \"target\": 111, \"expression\": \"84 + 27\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5705, "numbers": [27, 84], "target": 111, "expression": "84 + 27"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 27 and 84 that equals 111. Let's try different combinations:\n\n1. 27 + 84 = 111\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
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[ "27 + 84 = 111" ]
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[ [ true ] ]
[ [ "27 + 84 = 111" ] ]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [66, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
55 + 66
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6474, \"numbers\": [66, 55], \"target\": 121, \"expression\": \"55 + 66\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6474, "numbers": [66, 55], "target": 121, "expression": "55 + 66"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 66 and 55 that equals 121. Let's try different combinations:\n\n1. 66 + 55 = 121\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "66 + 55 = 121" ]
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[{"is_correct": true, "error": null, "answer_block": "66 + 55 = 121", "final_answer": 121.0}]
[ [ true ] ]
[ [ "66 + 55 = 121" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "66 + 55 = 121", "final_answer": 121.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [66, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
47 + 66
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5465, \"numbers\": [66, 47], \"target\": 113, \"expression\": \"47 + 66\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5465, "numbers": [66, 47], "target": 113, "expression": "47 + 66"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 66 and 47 that equals 113. Let's try different combinations:\n\n1. 66 + 47 = 113\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
{"api_url": "http://127.0.0.1:50167/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "prompt": [{"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "66 + 47 = 113" ]
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[{"is_correct": true, "error": null, "answer_block": "66 + 47 = 113", "final_answer": 113.0}]
[ [ true ] ]
[ [ "66 + 47 = 113" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "66 + 47 = 113", "final_answer": 113.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
91 + 75
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6286, \"numbers\": [75, 91], \"target\": 166, \"expression\": \"91 + 75\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6286, "numbers": [75, 91], "target": 166, "expression": "91 + 75"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 75 and 91 that equals 166. Let's try different combinations:\n\n1. 75 + 91 = 166\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
{"api_url": "http://127.0.0.1:50167/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "prompt": [{"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
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[ true ]
[ "75 + 91 = 166" ]
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[{"is_correct": true, "error": null, "answer_block": "75 + 91 = 166", "final_answer": 166.0}]
[ [ true ] ]
[ [ "75 + 91 = 166" ] ]
{"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "75 + 91 = 166", "start_line": 11, "end_line": 11, "context": "<answer> 75 + 91 = 166 </answer>", "start_pos": 311, "end_pos": 325}], "span_positions": [{"start_pos": 311, "end_pos": 325, "line_range": "11-11"}]}
[[{"is_correct": true, "error": null, "answer_block": "75 + 91 = 166", "final_answer": 166.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [81, 40], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
81 + 40
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 [81, 40], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6311, \"numbers\": [81, 40], \"target\": 121, \"expression\": \"81 + 40\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6311, "numbers": [81, 40], "target": 121, "expression": "81 + 40"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 81 and 40 that equals 121. Let's try different combinations:\n\n1. 81 + 40 = 121\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the final answer is:\n<answer>\n81 + 40 = 121\n</answer>" ]
[ false ]
[ "" ]
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[ "81 + 40 = 121" ]
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[ [ "81 + 40 = 121" ] ]
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2025-09-15
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, 87], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
37 + 87
countdown_2arg
countdown
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [37, 87], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6106, \"numbers\": [37, 87], \"target\": 124, \"expression\": \"37 + 87\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6106, "numbers": [37, 87], "target": 124, "expression": "37 + 87"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 37 and 87 that equals 124. Let's try different combinations:\n\n1. 37 + 87 = 124\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
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[ "37 + 87 = 124" ]
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[ [ true ] ]
[ [ "37 + 87 = 124" ] ]
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2025-09-15
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, 52], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
63 + 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 [63, 52], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6182, \"numbers\": [63, 52], \"target\": 115, \"expression\": \"63 + 52\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6182, "numbers": [63, 52], "target": 115, "expression": "63 + 52"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 63 and 52 that equals 115. Let's try different combinations:\n\n1. 63 + 52 = 115\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
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[ "63 + 52 = 115" ]
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[ [ true ] ]
[ [ "63 + 52 = 115" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "63 + 52 = 115", "final_answer": 115.0}]]
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2025-09-15
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, 22], create an equation that equals 902. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
41*22
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, 22], create an equation that equals 902. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5055, \"numbers\": [41, 22], \"target\": 902, \"expression\": \"41*22\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5055, "numbers": [41, 22], "target": 902, "expression": "41*22"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to combine the numbers 41 and 22 using basic arithmetic operations to get the target number 902. Let's try different combinations:\n\n1. 41 + 22 = 63 (not 902)\n2. 41 * 22 = 902 (this works!)\n\nThis combination gives us the target number directly. Therefore, the equation is:\n\n<ans...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "41 * 22 = 902" ]
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[ [ true ] ]
[ [ "41 * 22 = 902" ] ]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [61, 64], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
64 + 61
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 [61, 64], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5846, \"numbers\": [61, 64], \"target\": 125, \"expression\": \"64 + 61\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5846, "numbers": [61, 64], "target": 125, "expression": "64 + 61"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 61 and 64 that equals 125. Let's try different combinations:\n\n1. 61 + 64 = 125\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
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[ true ]
[ "61 + 64 = 125" ]
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[ [ true ] ]
[ [ "61 + 64 = 125" ] ]
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2025-09-15
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, 55], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
97 + 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 [97, 55], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5013, \"numbers\": [97, 55], \"target\": 152, \"expression\": \"97 + 55\"}"}
test
null
null
null
null
null
null
null
null
null
null
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{"source_dataset": "countdown", "source_index": 5013, "numbers": [97, 55], "target": 152, "expression": "97 + 55"}
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[ "To solve this problem, we need to combine the numbers 97 and 55 using basic arithmetic operations to get the target number 152. Let's try different combinations:\n\n1. 97 + 55 = 152\n This combination works directly to get the target number.\n\nSince we have found a valid combination, we don't need to add any mo...
[ false ]
[ "" ]
{"api_url": "http://127.0.0.1:50167/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "prompt": [{"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, 55], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "97 + 55 = 152" ]
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[{"is_correct": true, "error": null, "answer_block": "97 + 55 = 152", "final_answer": 152.0}]
[ [ true ] ]
[ [ "97 + 55 = 152" ] ]
{"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "97 + 55 = 152", "start_line": 9, "end_line": 9, "context": "<answer> 97 + 55 = 152 </answer>", "start_pos": 330, "end_pos": 344}], "span_positions": [{"start_pos": 330, "end_pos": 344, "line_range": "9-9"}]}
[[{"is_correct": true, "error": null, "answer_block": "97 + 55 = 152", "final_answer": 152.0}]]
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2025-09-15
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [76, 43], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
76 + 43
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 [76, 43], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6175, \"numbers\": [76, 43], \"target\": 119, \"expression\": \"76 + 43\"}"}
test
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{"source_dataset": "countdown", "source_index": 6175, "numbers": [76, 43], "target": 119, "expression": "76 + 43"}
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[ "To solve this problem, we need to create an equation using the numbers 76 and 43 that equals 119. Let's try different combinations:\n\n1. 76 + 43 = 119\n This combination works!\n\nSince we have found a valid combination, we don't need to continue with additional steps.\n\nTherefore, the final answer is:\n\n<ans...
[ false ]
[ "" ]
{"api_url": "http://127.0.0.1:50167/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "prompt": [{"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 43], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "76 + 43 = 119" ]
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[{"is_correct": true, "error": null, "answer_block": "76 + 43 = 119", "final_answer": 119.0}]
[ [ true ] ]
[ [ "76 + 43 = 119" ] ]
{"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "76 + 43 = 119", "start_line": 11, "end_line": 11, "context": "<answer> 76 + 43 = 119 </answer>", "start_pos": 311, "end_pos": 325}], "span_positions": [{"start_pos": 311, "end_pos": 325, "line_range": "11-11"}]}
[[{"is_correct": true, "error": null, "answer_block": "76 + 43 = 119", "final_answer": 119.0}]]
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2025-09-15
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, 5], create an equation that equals 230. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
5*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, 5], create an equation that equals 230. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6248, \"numbers\": [46, 5], \"target\": 230, \"expression\": \"5*46\"}"}
test
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{"source_dataset": "countdown", "source_index": 6248, "numbers": [46, 5], "target": 230, "expression": "5*46"}
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[ "To solve this problem, we need to create an equation using the numbers 46 and 5 that equals 230. Let's try different combinations:\n\n1. 46 * 5 = 230\n This works! The equation is: 46 * 5 = 230\n\nTherefore, the answer is:\n<answer>\n46 * 5 = 230\n</answer>" ]
[ false ]
[ "" ]
{"api_url": "http://127.0.0.1:50167/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "prompt": [{"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, 5], create an equation that equals 230. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "46 * 5 = 230" ]
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[{"is_correct": true, "error": null, "answer_block": "46 * 5 = 230", "final_answer": 230.0}]
[ [ true ] ]
[ [ "46 * 5 = 230" ] ]
{"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "46 * 5 = 230", "start_line": 8, "end_line": 8, "context": "line 8 inside <answer> tags", "start_pos": 229, "end_pos": 242}], "span_positions": [{"start_pos": 229, "end_pos": 242, "line_range": "8-8"}]}
[[{"is_correct": true, "error": null, "answer_block": "46 * 5 = 230", "final_answer": 230.0}]]
{ "flips_by": [ 0 ], "flips_total": 0, "num_correct": 1, "pass_at_n": null, "percent_correct": null, "skill_count": { "answer_revision": [ 0 ], "best_of_n": [ 0 ], "reflect_close": [ 0 ], "reflect_open": [ 0 ], "reflection_sbon": [ 0 ], "sample_close": [ 0 ], "sample_open": [ 0 ], "vote_close": [ 0 ], "vote_open": [ 0 ], "voting": [ 0 ] }, "total_responses": 1 }
2025-09-15
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