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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
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6756, "numbers": [73, 48], "target": 121, "expression": "48 + 73"}
null
null
null
null
null
null
null
null
[ "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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[ [ true ] ]
[ [ "73 + 48 = 121" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "73 + 48 = 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 [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
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6685, "numbers": [14, 54], "target": 756, "expression": "14*54"}
null
null
null
null
null
null
null
null
[ "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
null
null
null
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null
null
null
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null
{"source_dataset": "countdown", "source_index": 5824, "numbers": [40, 70], "target": 110, "expression": "40 + 70"}
null
null
null
null
null
null
null
null
[ "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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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
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5930, "numbers": [30, 31], "target": 930, "expression": "31*30"}
null
null
null
null
null
null
null
null
[ "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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[ [ true ] ]
[ [ "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
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5864, "numbers": [25, 78], "target": 103, "expression": "25 + 78"}
null
null
null
null
null
null
null
null
[ "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 ]
[ "" ]
{"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 [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.\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 ]
[ "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
null
null
{"source_dataset": "countdown", "source_index": 5013, "numbers": [97, 55], "target": 152, "expression": "97 + 55"}
null
null
null
null
null
null
null
null
[ "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 ]
[ "" ]
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{"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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[ [ true ] ]
[ [ "97 + 55 = 152" ] ]
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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
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6175, "numbers": [76, 43], "target": 119, "expression": "76 + 43"}
null
null
null
null
null
null
null
null
[ "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 ]
[ "" ]
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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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[ "76 + 43 = 119" ]
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[ [ true ] ]
[ [ "76 + 43 = 119" ] ]
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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
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6248, "numbers": [46, 5], "target": 230, "expression": "5*46"}
null
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null
null
null
null
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null
[ "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 ]
[ "" ]
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{"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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[ [ true ] ]
[ [ "46 * 5 = 230" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "46 * 5 = 230", "final_answer": 230.0}]]
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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, 20], create an equation that equals 101. 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 + 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 [81, 20], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5899, \"numbers\": [81, 20], \"target\": 101, \"expression\": \"81 + 20\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5899, "numbers": [81, 20], "target": 101, "expression": "81 + 20"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 81 and 20 that equals 101. Let's try different combinations:\n\n1. 81 + 20 = 101\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 ]
[ "81 + 20 = 101" ]
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[ [ true ] ]
[ [ "81 + 20 = 101" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "81 + 20 = 101", "final_answer": 101.0}]]
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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 [20, 90], 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.
20 + 90
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, 90], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5420, \"numbers\": [20, 90], \"target\": 110, \"expression\": \"20 + 90\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5420, "numbers": [20, 90], "target": 110, "expression": "20 + 90"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 20 and 90 that equals 110. Let's try different combinations:\n\n1. 20 + 90 = 110\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 ]
[ "20 + 90 = 110" ]
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[ [ true ] ]
[ [ "20 + 90 = 110" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "20 + 90 = 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 [28, 92], 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.
92 + 28
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 [28, 92], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5628, \"numbers\": [28, 92], \"target\": 120, \"expression\": \"92 + 28\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5628, "numbers": [28, 92], "target": 120, "expression": "92 + 28"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 28 and 92 that equals 120. Let's try different combinations:\n\n1. 28 + 92 = 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 ]
[ "28 + 92 = 120" ]
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[ [ true ] ]
[ [ "28 + 92 = 120" ] ]
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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, 76], 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.
76 + 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 [76, 76], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6741, \"numbers\": [76, 76], \"target\": 152, \"expression\": \"76 + 76\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6741, "numbers": [76, 76], "target": 152, "expression": "76 + 76"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 76 and 76 that equals 152. Let's try different combinations:\n\n1. 76 + 76 = 152\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the final answer is:\n<answer>\n76 + 76 = 152\n</answer>" ]
[ false ]
[ "" ]
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[ "76 + 76 = 152" ]
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[ [ true ] ]
[ [ "76 + 76 = 152" ] ]
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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 [54, 58], create an equation that equals 112. 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.
54 + 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 [54, 58], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5644, \"numbers\": [54, 58], \"target\": 112, \"expression\": \"54 + 58\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5644, "numbers": [54, 58], "target": 112, "expression": "54 + 58"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 54 and 58 that equals 112. Let's try different combinations:\n\n1. 54 + 58 = 112\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 ]
[ "54 + 58 = 112" ]
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[ [ true ] ]
[ [ "54 + 58 = 112" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "54 + 58 = 112", "final_answer": 112.0}]]
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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, 23], create an equation that equals 690. 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.
23*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, 23], create an equation that equals 690. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5587, \"numbers\": [30, 23], \"target\": 690, \"expression\": \"23*30\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5587, "numbers": [30, 23], "target": 690, "expression": "23*30"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 30 and 23 that equals 690. Let's try different combinations:\n\n1. 30 * (23 - 30) = 30 * (-7) = -210 (not equal to 690)\n2. 30 + 23 = 53 (not equal to 690)\n3. 30 * 23 = 690 (this works!)\n\nSince one of the combinations already gives us the ta...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "30 * 23" ]
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[{"is_correct": true, "error": null, "answer_block": "30 * 23", "final_answer": 690.0}]
[ [ true ] ]
[ [ "30 * 23" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "30 * 23", "final_answer": 690.0}]]
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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 [32, 83], 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.
32 + 83
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, 83], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6129, \"numbers\": [32, 83], \"target\": 115, \"expression\": \"32 + 83\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6129, "numbers": [32, 83], "target": 115, "expression": "32 + 83"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 32 and 83 that equals 115. Let's try different combinations:\n\n1. 32 + 83 = 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 ]
[ "" ]
{"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, 83], 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.\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 ]
[ "32 + 83 = 115" ]
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[ [ true ] ]
[ [ "32 + 83 = 115" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "32 + 83 = 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 [37, 3], 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.
37*3
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, 3], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6542, \"numbers\": [37, 3], \"target\": 111, \"expression\": \"37*3\"}"}
test
null
null
null
null
null
null
null
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null
null
null
null
{"source_dataset": "countdown", "source_index": 6542, "numbers": [37, 3], "target": 111, "expression": "37*3"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 37 and 3 that equals 111. Let's try different combinations:\n\n1. 37 + 3 = 40 (not equal to 111)\n2. 37 - 3 = 34 (not equal to 111)\n3. 37 * 3 = 111 (this works!)\n\nThis combination gives us the desired result. Therefore, the equation is:\n\n<...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "37 * 3" ]
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[ [ true ] ]
[ [ "37 * 3" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "37 * 3", "final_answer": 111.0}]]
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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, 44], create an equation that equals 106. 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.
62 + 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 [62, 44], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6408, \"numbers\": [62, 44], \"target\": 106, \"expression\": \"62 + 44\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6408, "numbers": [62, 44], "target": 106, "expression": "62 + 44"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 62 and 44 that equals 106. Let's try different combinations:\n\n1. 62 + 44 = 106\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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[ "62 + 44 = 106" ]
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[ [ true ] ]
[ [ "62 + 44 = 106" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "62 + 44 = 106", "final_answer": 106.0}]]
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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 [19, 33], create an equation that equals 627. 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.
33*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 [19, 33], create an equation that equals 627. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5678, \"numbers\": [19, 33], \"target\": 627, \"expression\": \"33*19\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5678, "numbers": [19, 33], "target": 627, "expression": "33*19"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to combine the numbers 19 and 33 using basic arithmetic operations to get the target number 627. Let's try different combinations:\n\n1. 19 + 33 = 52 (not 627)\n2. 19 * 33 = 627 (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 ]
[ "19 * 33 = 627" ]
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[ [ true ] ]
[ [ "19 * 33 = 627" ] ]
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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 [59, 82], create an equation that equals 141. 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.
82 + 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 [59, 82], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5847, \"numbers\": [59, 82], \"target\": 141, \"expression\": \"82 + 59\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5847, "numbers": [59, 82], "target": 141, "expression": "82 + 59"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 59 and 82 that equals 141. Let's try different combinations:\n\n1. 59 + 82 = 141\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 ]
[ "59 + 82 = 141" ]
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[ [ true ] ]
[ [ "59 + 82 = 141" ] ]
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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 [16, 85], create an equation that equals 101. 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.
85 + 16
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 [16, 85], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6388, \"numbers\": [16, 85], \"target\": 101, \"expression\": \"85 + 16\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6388, "numbers": [16, 85], "target": 101, "expression": "85 + 16"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 16 and 85 that equals 101. Let's try different combinations:\n\n1. 16 + 85 = 101\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 ]
[ "16 + 85 = 101" ]
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[ [ true ] ]
[ [ "16 + 85 = 101" ] ]
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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 [94, 38], create an equation that equals 132. 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.
94 + 38
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, 38], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5857, \"numbers\": [94, 38], \"target\": 132, \"expression\": \"94 + 38\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5857, "numbers": [94, 38], "target": 132, "expression": "94 + 38"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to combine the numbers 94 and 38 using basic arithmetic operations to get the target number 132. Let's try different combinations:\n\n1. 94 + 38 = 132\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 ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "94 + 38 = 132" ]
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[{"is_correct": true, "error": null, "answer_block": "94 + 38 = 132", "final_answer": 132.0}]
[ [ true ] ]
[ [ "94 + 38 = 132" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "94 + 38 = 132", "final_answer": 132.0}]]
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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 [70, 83], 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.
70 + 83
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, 83], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5668, \"numbers\": [70, 83], \"target\": 153, \"expression\": \"70 + 83\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5668, "numbers": [70, 83], "target": 153, "expression": "70 + 83"}
null
null
null
null
null
null
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null
[ "To solve this problem, we need to create an equation using the numbers 70 and 83 that equals 153. Let's try different combinations:\n\n1. 70 + 83 = 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 ]
[ "70 + 83 = 153" ]
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[ [ true ] ]
[ [ "70 + 83 = 153" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "70 + 83 = 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 [41, 93], create an equation that equals 134. 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 + 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 [41, 93], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6079, \"numbers\": [41, 93], \"target\": 134, \"expression\": \"41 + 93\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6079, "numbers": [41, 93], "target": 134, "expression": "41 + 93"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 41 and 93 that equals 134. Let's try different combinations:\n\n1. 41 + 93 = 134\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 ]
[ "41 + 93 = 134" ]
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[{"is_correct": true, "error": null, "answer_block": "41 + 93 = 134", "final_answer": 134.0}]
[ [ true ] ]
[ [ "41 + 93 = 134" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "41 + 93 = 134", "final_answer": 134.0}]]
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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 [50, 4], create an equation that equals 200. 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.
50*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 [50, 4], create an equation that equals 200. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6764, \"numbers\": [50, 4], \"target\": 200, \"expression\": \"50*4\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6764, "numbers": [50, 4], "target": 200, "expression": "50*4"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 50 and 4 that equals 200. Let's try different combinations:\n\n1. 50 * 4 = 200\n This works! The equation is already correct.\n\nTherefore, the answer is:\n<answer>\n50 * 4 = 200\n</answer>" ]
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "50 * 4 = 200" ]
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[ [ true ] ]
[ [ "50 * 4 = 200" ] ]
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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 [15, 21], create an equation that equals 315. 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.
21*15
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 [15, 21], create an equation that equals 315. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5360, \"numbers\": [15, 21], \"target\": 315, \"expression\": \"21*15\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5360, "numbers": [15, 21], "target": 315, "expression": "21*15"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 15 and 21 that equals 315. Let's try different combinations:\n\n1. 15 * (21 - 1) = 15 * 20 = 300 (not 315)\n2. 15 + 21 = 36 (not 315)\n3. 15 * 21 = 315 (this works!)\n\nSo, the equation that equals 315 is:\n\n<answer>\n15 * 21 = 315\n</answer>"...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "15 * 21 = 315" ]
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[ [ true ] ]
[ [ "15 * 21 = 315" ] ]
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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 [52, 65], create an equation that equals 117. 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.
65 + 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, 65], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6269, \"numbers\": [52, 65], \"target\": 117, \"expression\": \"65 + 52\"}"}
test
null
null
null
null
null
null
null
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null
null
null
{"source_dataset": "countdown", "source_index": 6269, "numbers": [52, 65], "target": 117, "expression": "65 + 52"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 52 and 65 that equals 117. Let's try different combinations:\n\n1. 52 + 65 = 117\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 ]
[ "52 + 65 = 117" ]
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[ [ true ] ]
[ [ "52 + 65 = 117" ] ]
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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, 96], create an equation that equals 176. 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.
80 + 96
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, 96], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6743, \"numbers\": [80, 96], \"target\": 176, \"expression\": \"80 + 96\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6743, "numbers": [80, 96], "target": 176, "expression": "80 + 96"}
null
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null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 80 and 96 that equals 176. Let's try different combinations:\n\n1. 80 + 96 = 176\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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[ "80 + 96 = 176" ]
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[ [ true ] ]
[ [ "80 + 96 = 176" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "80 + 96 = 176", "final_answer": 176.0}]]
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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 [98, 71], create an equation that equals 169. 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.
98 + 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 [98, 71], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5820, \"numbers\": [98, 71], \"target\": 169, \"expression\": \"98 + 71\"}"}
test
null
null
null
null
null
null
null
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null
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null
{"source_dataset": "countdown", "source_index": 5820, "numbers": [98, 71], "target": 169, "expression": "98 + 71"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 98 and 71 that equals 169. Let's try different combinations:\n\n1. 98 + 71 = 169\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 ]
[ "98 + 71 = 169" ]
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[ [ true ] ]
[ [ "98 + 71 = 169" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "98 + 71 = 169", "final_answer": 169.0}]]
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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 [38, 94], create an equation that equals 132. 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.
38 + 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 [38, 94], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5291, \"numbers\": [38, 94], \"target\": 132, \"expression\": \"38 + 94\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5291, "numbers": [38, 94], "target": 132, "expression": "38 + 94"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 38 and 94 that equals 132. Let's try different combinations:\n\n1. 38 + 94 = 132\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 ]
[ "38 + 94 = 132" ]
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[ [ true ] ]
[ [ "38 + 94 = 132" ] ]
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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 [4, 99], 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.
4 + 99
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 [4, 99], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6176, \"numbers\": [4, 99], \"target\": 103, \"expression\": \"4 + 99\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6176, "numbers": [4, 99], "target": 103, "expression": "4 + 99"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 4 and 99 that equals 103. Let's try different combinations:\n\n1. 4 + 99 = 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<answe...
[ false ]
[ "" ]
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[ true ]
[ "4 + 99 = 103" ]
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[ [ true ] ]
[ [ "4 + 99 = 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 [74, 32], create an equation that equals 106. 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 + 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, 32], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5605, \"numbers\": [74, 32], \"target\": 106, \"expression\": \"32 + 74\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5605, "numbers": [74, 32], "target": 106, "expression": "32 + 74"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 74 and 32 that equals 106. Let's try different combinations:\n\n1. 74 + 32 = 106\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 ]
[ "74 + 32 = 106" ]
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[{"is_correct": true, "error": null, "answer_block": "74 + 32 = 106", "final_answer": 106.0}]
[ [ true ] ]
[ [ "74 + 32 = 106" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "74 + 32 = 106", "final_answer": 106.0}]]
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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 [51, 8], create an equation that equals 408. 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.
8*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, 8], create an equation that equals 408. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5621, \"numbers\": [51, 8], \"target\": 408, \"expression\": \"8*51\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5621, "numbers": [51, 8], "target": 408, "expression": "8*51"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 51 and 8 that equals 408. Let's try different combinations:\n\n1. 51 * 8 = 408\n This works! The equation is already correct.\n\nTherefore, the answer is:\n<answer>\n51 * 8 = 408\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 [51, 8], create an equation that equals 408. 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 ]
[ "51 * 8 = 408" ]
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[{"is_correct": true, "error": null, "answer_block": "51 * 8 = 408", "final_answer": 408.0}]
[ [ true ] ]
[ [ "51 * 8 = 408" ] ]
{"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": "51 * 8 = 408", "start_line": 8, "end_line": 8, "context": "line 8 with the equation", "start_pos": 232, "end_pos": 245}], "span_positions": [{"start_pos": 232, "end_pos": 245, "line_range": "8-8"}]}
[[{"is_correct": true, "error": null, "answer_block": "51 * 8 = 408", "final_answer": 408.0}]]
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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 [63, 94], create an equation that equals 157. 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.
94 + 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 [63, 94], create an equation that equals 157. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6071, \"numbers\": [63, 94], \"target\": 157, \"expression\": \"94 + 63\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6071, "numbers": [63, 94], "target": 157, "expression": "94 + 63"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to combine the numbers 63 and 94 using basic arithmetic operations to get the target number 157. Let's try different combinations:\n\n1. 63 + 94 = 157\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 [63, 94], create an equation that equals 157. 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 ]
[ "63 + 94 = 157" ]
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[{"is_correct": true, "error": null, "answer_block": "63 + 94 = 157", "final_answer": 157.0}]
[ [ true ] ]
[ [ "63 + 94 = 157" ] ]
{"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": "63 + 94 = 157", "start_line": 9, "end_line": 9, "context": "<answer> 63 + 94 = 157 </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": "63 + 94 = 157", "final_answer": 157.0}]]
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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 [47, 78], 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.
47 + 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 [47, 78], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5486, \"numbers\": [47, 78], \"target\": 125, \"expression\": \"47 + 78\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5486, "numbers": [47, 78], "target": 125, "expression": "47 + 78"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 47 and 78 that equals 125. Let's try different combinations:\n\n1. 47 + 78 = 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 ]
[ "" ]
{"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 [47, 78], 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"}]}
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[ true ]
[ "47 + 78 = 125" ]
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[ [ true ] ]
[ [ "47 + 78 = 125" ] ]
{"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": "47 + 78 = 125", "start_line": 11, "end_line": 11, "context": "<answer> 47 + 78 = 125 </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": "47 + 78 = 125", "final_answer": 125.0}]]
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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 [4, 98], create an equation that equals 392. 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.
4*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 [4, 98], create an equation that equals 392. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5876, \"numbers\": [4, 98], \"target\": 392, \"expression\": \"4*98\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5876, "numbers": [4, 98], "target": 392, "expression": "4*98"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 4 and 98 that equals 392. Let's try different combinations:\n\n1. 4 * 98 = 392\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<answe...
[ 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 [4, 98], create an equation that equals 392. 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 ]
[ "4 * 98 = 392" ]
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[ [ true ] ]
[ [ "4 * 98 = 392" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "4 * 98 = 392", "final_answer": 392.0}]]
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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, 39], create an equation that equals 129. 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.
39 + 90
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, 39], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5228, \"numbers\": [90, 39], \"target\": 129, \"expression\": \"39 + 90\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5228, "numbers": [90, 39], "target": 129, "expression": "39 + 90"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 90 and 39 that equals 129. Let's try different combinations:\n\n1. 90 + 39 = 129\n This works! The equation is: 90 + 39 = 129\n\nTherefore, the answer is:\n<answer>\n90 + 39 = 129\n</answer>" ]
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "90 + 39 = 129" ]
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[ [ true ] ]
[ [ "90 + 39 = 129" ] ]
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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, 60], create an equation that equals 134. 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 + 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 [74, 60], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6123, \"numbers\": [74, 60], \"target\": 134, \"expression\": \"74 + 60\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6123, "numbers": [74, 60], "target": 134, "expression": "74 + 60"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 74 and 60 that equals 134. Let's try different combinations:\n\n1. 74 + 60 = 134\n This combination works!\n\nTherefore, the equation that equals 134 is:\n<answer>\n74 + 60 = 134\n</answer>" ]
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "74 + 60 = 134" ]
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[{"is_correct": true, "error": null, "answer_block": "74 + 60 = 134", "final_answer": 134.0}]
[ [ true ] ]
[ [ "74 + 60 = 134" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "74 + 60 = 134", "final_answer": 134.0}]]
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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 [47, 14], create an equation that equals 658. 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*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 [47, 14], create an equation that equals 658. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5581, \"numbers\": [47, 14], \"target\": 658, \"expression\": \"47*14\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5581, "numbers": [47, 14], "target": 658, "expression": "47*14"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to combine the numbers 47 and 14 using basic arithmetic operations to get the target number 658. Let's try different combinations:\n\n1. 47 + 14 = 61 (not 658)\n2. 47 * 14 = 658 (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 ]
[ "47 * 14 = 658" ]
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[{"is_correct": true, "error": null, "answer_block": "47 * 14 = 658", "final_answer": 658.0}]
[ [ true ] ]
[ [ "47 * 14 = 658" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "47 * 14 = 658", "final_answer": 658.0}]]
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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 [16, 37], create an equation that equals 592. 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.
16*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 [16, 37], create an equation that equals 592. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5636, \"numbers\": [16, 37], \"target\": 592, \"expression\": \"16*37\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5636, "numbers": [16, 37], "target": 592, "expression": "16*37"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to combine the numbers 16 and 37 using basic arithmetic operations to get the target number 592. Let's try different combinations:\n\n1. 16 + 37 = 53 (not 592)\n2. 16 * 37 = 592 (this works!)\n\nThis combination gives us the target number directly. Therefore, the equation 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 [16, 37], create an equation that equals 592. 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 ]
[ "16 * 37 = 592" ]
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[ [ true ] ]
[ [ "16 * 37 = 592" ] ]
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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 [42, 88], create an equation that equals 130. 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.
42 + 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 [42, 88], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6628, \"numbers\": [42, 88], \"target\": 130, \"expression\": \"42 + 88\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6628, "numbers": [42, 88], "target": 130, "expression": "42 + 88"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 42 and 88 that equals 130. Let's try different combinations:\n\n1. 42 + 88 = 130\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the answer is:\n<answer>\n42 + 88 = 130\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 [42, 88], create an equation that equals 130. 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 ]
[ "42 + 88 = 130" ]
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[{"is_correct": true, "error": null, "answer_block": "42 + 88 = 130", "final_answer": 130.0}]
[ [ true ] ]
[ [ "42 + 88 = 130" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "42 + 88 = 130", "final_answer": 130.0}]]
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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 [14, 8], create an equation that equals 112. 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.
8*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 [14, 8], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6059, \"numbers\": [14, 8], \"target\": 112, \"expression\": \"8*14\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6059, "numbers": [14, 8], "target": 112, "expression": "8*14"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 14 and 8 that equals 112. Let's try different combinations:\n\n1. 14 * 8 = 112\n This combination works!\n\nTherefore, the equation that equals 112 is:\n<answer>\n14 * 8 = 112\n</answer>" ]
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "14 * 8 = 112" ]
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[ [ true ] ]
[ [ "14 * 8 = 112" ] ]
{"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": "14 * 8 = 112", "start_line": 8, "end_line": 8, "context": "Therefore, the equation that equals 112 is:", "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": "14 * 8 = 112", "final_answer": 112.0}]]
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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, 56], create an equation that equals 131. 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.
56 + 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, 56], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6475, \"numbers\": [75, 56], \"target\": 131, \"expression\": \"56 + 75\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6475, "numbers": [75, 56], "target": 131, "expression": "56 + 75"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 75 and 56 that equals 131. Let's try different combinations:\n\n1. 75 + 56 = 131\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the answer is:\n<answer>\n75 + 56 = 131\n</answer>" ]
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "75 + 56 = 131" ]
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[{"is_correct": true, "error": null, "answer_block": "75 + 56 = 131", "final_answer": 131.0}]
[ [ true ] ]
[ [ "75 + 56 = 131" ] ]
{"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 + 56 = 131", "start_line": 8, "end_line": 8, "context": "<answer> 75 + 56 = 131 </answer>", "start_pos": 265, "end_pos": 279}], "span_positions": [{"start_pos": 265, "end_pos": 279, "line_range": "8-8"}]}
[[{"is_correct": true, "error": null, "answer_block": "75 + 56 = 131", "final_answer": 131.0}]]
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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, 34], create an equation that equals 578. 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.
34*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 [17, 34], create an equation that equals 578. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5946, \"numbers\": [17, 34], \"target\": 578, \"expression\": \"34*17\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5946, "numbers": [17, 34], "target": 578, "expression": "34*17"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 17 and 34 that equals 578. Let's try different combinations:\n\n1. 17 * (34 - 0) = 17 * 34 = 578\n This works! The equation is: 17 * (34 - 0)\n\nTherefore, the answer is:\n<answer>\n17 * (34 - 0)\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 [17, 34], create an equation that equals 578. 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 ]
[ "17 * (34 - 0)" ]
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[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "17 * (34 - 0)", "final_answer": 578.0}]
[ [ false ] ]
[ [ "17 * (34 - 0)" ] ]
{"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": "17 * (34 - 0)", "start_line": 8, "end_line": 8, "context": "<answer> 17 * (34 - 0) </answer>", "start_pos": 248, "end_pos": 262}], "span_positions": [{"start_pos": 248, "end_pos": 262, "line_range": "8-8"}]}
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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 [6, 25], create an equation that equals 150. 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*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, 25], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5763, \"numbers\": [6, 25], \"target\": 150, \"expression\": \"25*6\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5763, "numbers": [6, 25], "target": 150, "expression": "25*6"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 6 and 25 that equals 150. Let's try different combinations:\n\n1. 6 * (25 - 1) = 6 * 24 = 144 (not 150)\n2. 6 * 25 - 6 = 150 - 6 = 144 (not 150)\n3. 25 * 6 = 150 (this works!)\n\nSo, the equation that equals 150 is:\n\n<answer>\n25 * 6\n</answe...
[ 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 [6, 25], create an equation that equals 150. 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 ]
[ "25 * 6" ]
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[{"is_correct": true, "error": null, "answer_block": "25 * 6", "final_answer": 150.0}]
[ [ true ] ]
[ [ "25 * 6" ] ]
{"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": "25 * 6", "start_line": 10, "end_line": 10, "context": "<answer> 25 * 6 </answer>", "start_pos": 291, "end_pos": 298}], "span_positions": [{"start_pos": 291, "end_pos": 298, "line_range": "10-10"}]}
[[{"is_correct": true, "error": null, "answer_block": "25 * 6", "final_answer": 150.0}]]
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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 [97, 58], create an equation that equals 155. 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.
58 + 97
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, 58], create an equation that equals 155. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5393, \"numbers\": [97, 58], \"target\": 155, \"expression\": \"58 + 97\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5393, "numbers": [97, 58], "target": 155, "expression": "58 + 97"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to combine the numbers 97 and 58 using basic arithmetic operations to get the target number 155. Let's try different combinations:\n\n1. 97 + 58 = 155\n This combination works directly to get the target number.\n\nSince we have found a valid combination, we don't need to continue w...
[ 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, 58], create an equation that equals 155. 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 ]
[ "97 + 58 = 155" ]
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[ [ "97 + 58 = 155" ] ]
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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 [78, 32], 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.
78 + 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 [78, 32], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5447, \"numbers\": [78, 32], \"target\": 110, \"expression\": \"78 + 32\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5447, "numbers": [78, 32], "target": 110, "expression": "78 + 32"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 78 and 32 that equals 110. Let's try different combinations:\n\n1. 78 + 32 = 110\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the final answer is:\n<answer>\n78 + 32 = 110\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 [78, 32], 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.\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 ]
[ "78 + 32 = 110" ]
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[ [ true ] ]
[ [ "78 + 32 = 110" ] ]
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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 [78, 51], create an equation that equals 129. 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.
78 + 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 [78, 51], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6379, \"numbers\": [78, 51], \"target\": 129, \"expression\": \"78 + 51\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6379, "numbers": [78, 51], "target": 129, "expression": "78 + 51"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 78 and 51 that equals 129. Let's try different combinations:\n\n1. 78 + 51 = 129\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the final answer is:\n<answer>\n78 + 51 = 129\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 [78, 51], create an equation that equals 129. 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 ]
[ "78 + 51 = 129" ]
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[{"is_correct": true, "error": null, "answer_block": "78 + 51 = 129", "final_answer": 129.0}]
[ [ true ] ]
[ [ "78 + 51 = 129" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "78 + 51 = 129", "final_answer": 129.0}]]
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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 [67, 71], create an equation that equals 138. 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.
67 + 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 [67, 71], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5452, \"numbers\": [67, 71], \"target\": 138, \"expression\": \"67 + 71\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5452, "numbers": [67, 71], "target": 138, "expression": "67 + 71"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 67 and 71 that equals 138. Let's try different combinations:\n\n1. 67 + 71 = 138\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 [67, 71], create an equation that equals 138. 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 ]
[ "67 + 71 = 138" ]
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[{"is_correct": true, "error": null, "answer_block": "67 + 71 = 138", "final_answer": 138.0}]
[ [ true ] ]
[ [ "67 + 71 = 138" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "67 + 71 = 138", "final_answer": 138.0}]]
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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 [87, 71], create an equation that equals 158. 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.
71 + 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, 71], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5519, \"numbers\": [87, 71], \"target\": 158, \"expression\": \"71 + 87\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5519, "numbers": [87, 71], "target": 158, "expression": "71 + 87"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 87 and 71 that equals 158. Let's try different combinations:\n\n1. 87 + 71 = 158\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the answer is:\n<answer>\n87 + 71 = 158\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 [87, 71], create an equation that equals 158. 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 ]
[ "87 + 71 = 158" ]
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[ [ true ] ]
[ [ "87 + 71 = 158" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "87 + 71 = 158", "final_answer": 158.0}]]
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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 [50, 18], create an equation that equals 900. 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.
18*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, 18], create an equation that equals 900. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5446, \"numbers\": [50, 18], \"target\": 900, \"expression\": \"18*50\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5446, "numbers": [50, 18], "target": 900, "expression": "18*50"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 50 and 18 that equals 900. Let's try different combinations:\n\n1. 50 * 18 = 900\n This works! So, we have our equation.\n\nTherefore, the final answer is:\n<answer>\n50 * 18 = 900\n</answer>" ]
[ false ]
[ "" ]
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[ true ]
[ "50 * 18 = 900" ]
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[ [ "50 * 18 = 900" ] ]
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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 [33, 72], create an equation that equals 105. 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.
33 + 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 [33, 72], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5834, \"numbers\": [33, 72], \"target\": 105, \"expression\": \"33 + 72\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5834, "numbers": [33, 72], "target": 105, "expression": "33 + 72"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 33 and 72 that equals 105. Let's try different combinations:\n\n1. 33 + 72 = 105\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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[ "33 + 72 = 105" ]
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[ [ true ] ]
[ [ "33 + 72 = 105" ] ]
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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, 49], create an equation that equals 130. 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 + 49
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, 49], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5914, \"numbers\": [81, 49], \"target\": 130, \"expression\": \"81 + 49\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5914, "numbers": [81, 49], "target": 130, "expression": "81 + 49"}
null
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null
null
null
[ "To solve this problem, we need to create an equation using the numbers 81 and 49 that equals 130. Let's try different combinations:\n\n1. 81 + 49 = 130\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the final answer is:\n<answer>\n81 + 49 = 130\n</answer>" ]
[ false ]
[ "" ]
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[ "81 + 49 = 130" ]
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[ [ true ] ]
[ [ "81 + 49 = 130" ] ]
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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 [34, 69], 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.
69 + 34
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, 69], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5243, \"numbers\": [34, 69], \"target\": 103, \"expression\": \"69 + 34\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5243, "numbers": [34, 69], "target": 103, "expression": "69 + 34"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 34 and 69 that equals 103. Let's try different combinations:\n\n1. 34 + 69 = 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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[ "34 + 69 = 103" ]
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[ [ true ] ]
[ [ "34 + 69 = 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 [41, 59], create an equation that equals 100. 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 + 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 [41, 59], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6638, \"numbers\": [41, 59], \"target\": 100, \"expression\": \"41 + 59\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6638, "numbers": [41, 59], "target": 100, "expression": "41 + 59"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 41 and 59 that equals 100. Let's try different combinations:\n\n1. 41 + 59 = 100\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 ]
[ "41 + 59 = 100" ]
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[ [ true ] ]
[ [ "41 + 59 = 100" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "41 + 59 = 100", "final_answer": 100.0}]]
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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 [91, 13], create an equation that equals 104. 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 + 13
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, 13], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5987, \"numbers\": [91, 13], \"target\": 104, \"expression\": \"91 + 13\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5987, "numbers": [91, 13], "target": 104, "expression": "91 + 13"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 91 and 13 that equals 104. Let's try different combinations:\n\n1. 91 + 13 = 104\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 ]
[ "91 + 13 = 104" ]
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[ [ "91 + 13 = 104" ] ]
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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 [16, 20], create an equation that equals 320. 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.
20*16
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 [16, 20], create an equation that equals 320. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6058, \"numbers\": [16, 20], \"target\": 320, \"expression\": \"20*16\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6058, "numbers": [16, 20], "target": 320, "expression": "20*16"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 16 and 20 that equals 320. Let's try different combinations:\n\n1. 16 * (20 - 16) = 16 * 4 = 64 (not 320)\n2. 16 + 20 = 36 (not 320)\n3. 20 * 16 = 320 (this works!)\n\nSo, the equation that equals 320 is:\n\n<answer>\n20 * 16\n</answer>" ]
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "20 * 16" ]
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[ [ true ] ]
[ [ "20 * 16" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "20 * 16", "final_answer": 320.0}]]
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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 [11, 38], create an equation that equals 418. 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.
38*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, 38], create an equation that equals 418. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5589, \"numbers\": [11, 38], \"target\": 418, \"expression\": \"38*11\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5589, "numbers": [11, 38], "target": 418, "expression": "38*11"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 11 and 38 that equals 418. Let's try different combinations:\n\n1. 11 + 38 = 49 (not equal to 418)\n2. 11 * 38 = 418 (this works!)\n\nThis combination gives us the target number directly. Therefore, the equation is:\n\n<answer>\n11 * 38 = 418\n...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "11 * 38 = 418" ]
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[ [ true ] ]
[ [ "11 * 38 = 418" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "11 * 38 = 418", "final_answer": 418.0}]]
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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 [95, 38], create an equation that equals 133. 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.
38 + 95
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 [95, 38], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5543, \"numbers\": [95, 38], \"target\": 133, \"expression\": \"38 + 95\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5543, "numbers": [95, 38], "target": 133, "expression": "38 + 95"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 95 and 38 that equals 133. Let's try different combinations:\n\n1. 95 + 38 = 133\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the final answer is:\n<answer>\n95 + 38 = 133\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 [95, 38], create an equation that equals 133. 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 ]
[ "95 + 38 = 133" ]
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[ [ true ] ]
[ [ "95 + 38 = 133" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "95 + 38 = 133", "final_answer": 133.0}]]
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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, 62], create an equation that equals 128. 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.
66 + 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 [66, 62], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6078, \"numbers\": [66, 62], \"target\": 128, \"expression\": \"66 + 62\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6078, "numbers": [66, 62], "target": 128, "expression": "66 + 62"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 66 and 62 that equals 128. Let's try different combinations:\n\n1. 66 + 62 = 128\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, 62], create an equation that equals 128. 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 ]
[ "66 + 62 = 128" ]
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[ [ true ] ]
[ [ "66 + 62 = 128" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "66 + 62 = 128", "final_answer": 128.0}]]
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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 [18, 29], 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.
29*18
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, 29], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6139, \"numbers\": [18, 29], \"target\": 522, \"expression\": \"29*18\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6139, "numbers": [18, 29], "target": 522, "expression": "29*18"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 18 and 29 that equals 522. Let's try different combinations:\n\n1. 18 + 29 = 47 (not equal to 522)\n2. 18 * 29 = 522 (this works!)\n\nThis combination gives us the target number directly. Therefore, the equation is:\n\n<answer>\n18 * 29 = 522\n...
[ false ]
[ "" ]
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[ true ]
[ "18 * 29 = 522" ]
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[ [ "18 * 29 = 522" ] ]
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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, 11], create an equation that equals 407. 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*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 [37, 11], create an equation that equals 407. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6649, \"numbers\": [37, 11], \"target\": 407, \"expression\": \"37*11\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6649, "numbers": [37, 11], "target": 407, "expression": "37*11"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to combine the numbers 37 and 11 using basic arithmetic operations to get the target number 407. Let's try different combinations:\n\n1. 37 + 11 = 48 (not 407)\n2. 37 * 11 = 407 (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 ]
[ "37 * 11 = 407" ]
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[ [ true ] ]
[ [ "37 * 11 = 407" ] ]
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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, 21], create an equation that equals 357. 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.
21*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 [17, 21], create an equation that equals 357. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5894, \"numbers\": [17, 21], \"target\": 357, \"expression\": \"21*17\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5894, "numbers": [17, 21], "target": 357, "expression": "21*17"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 17 and 21 that equals 357. Let's try different combinations:\n\n1. 17 * (21 - 1) = 17 * 20 = 340 (not 357)\n2. 17 + 21 = 38 (not 357)\n3. 17 * 21 = 357 (this works!)\n\nSo, the equation that equals 357 is:\n\n<answer>\n17 * 21 = 357\n</answer>"...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "17 * 21 = 357" ]
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[ [ true ] ]
[ [ "17 * 21 = 357" ] ]
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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 [94, 10], create an equation that equals 940. 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.
94*10
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, 10], create an equation that equals 940. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5008, \"numbers\": [94, 10], \"target\": 940, \"expression\": \"94*10\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5008, "numbers": [94, 10], "target": 940, "expression": "94*10"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 94 and 10 that equals 940. Let's try different combinations:\n\n1. 94 * (10 - 1) = 94 * 9 = 846 (not 940)\n2. 94 + 10 = 104 (not 940)\n3. 94 * 10 = 940 (this works!)\n\nThis combination gives us the target number directly. Therefore, the equati...
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "94 * 10" ]
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[{"is_correct": true, "error": null, "answer_block": "94 * 10", "final_answer": 940.0}]
[ [ true ] ]
[ [ "94 * 10" ] ]
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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 [65, 60], 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.
60 + 65
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, 60], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5521, \"numbers\": [65, 60], \"target\": 125, \"expression\": \"60 + 65\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5521, "numbers": [65, 60], "target": 125, "expression": "60 + 65"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 65 and 60 that equals 125. Let's try different combinations:\n\n1. 65 + 60 = 125\n This works! The equation is simple and meets the criteria.\n\nTherefore, the final answer is:\n<answer>\n65 + 60 = 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 [65, 60], 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"}]}
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[ true ]
[ "65 + 60 = 125" ]
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[ [ true ] ]
[ [ "65 + 60 = 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 [89, 19], create an equation that equals 108. 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.
19 + 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, 19], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6626, \"numbers\": [89, 19], \"target\": 108, \"expression\": \"19 + 89\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6626, "numbers": [89, 19], "target": 108, "expression": "19 + 89"}
null
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null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 89 and 19 that equals 108. Let's try different combinations:\n\n1. 89 + 19 = 108\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the final answer is:\n<answer>\n89 + 19 = 108\n</answer>" ]
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "89 + 19 = 108" ]
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[ [ true ] ]
[ [ "89 + 19 = 108" ] ]
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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 [52, 79], create an equation that equals 131. 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.
52 + 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 [52, 79], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5777, \"numbers\": [52, 79], \"target\": 131, \"expression\": \"52 + 79\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5777, "numbers": [52, 79], "target": 131, "expression": "52 + 79"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 52 and 79 that equals 131. Let's try different combinations:\n\n1. 52 + 79 = 131\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the answer is:\n<answer>\n52 + 79 = 131\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 [52, 79], create an equation that equals 131. 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 ]
[ "52 + 79 = 131" ]
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[ [ true ] ]
[ [ "52 + 79 = 131" ] ]
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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 [93, 66], create an equation that equals 159. 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.
66 + 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, 66], create an equation that equals 159. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6011, \"numbers\": [93, 66], \"target\": 159, \"expression\": \"66 + 93\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6011, "numbers": [93, 66], "target": 159, "expression": "66 + 93"}
null
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null
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null
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null
[ "To solve this problem, we need to combine the numbers 93 and 66 using basic arithmetic operations to get the target number 159. Let's try different combinations:\n\n1. 93 + 66 = 159\n This combination works directly to get the target number.\n\nSince we have found a valid combination, we don't need to continue w...
[ 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 [93, 66], create an equation that equals 159. 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 ]
[ "93 + 66 = 159" ]
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[ [ true ] ]
[ [ "93 + 66 = 159" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "93 + 66 = 159", "final_answer": 159.0}]]
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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 [89, 87], create an equation that equals 176. 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.
87 + 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, 87], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5152, \"numbers\": [89, 87], \"target\": 176, \"expression\": \"87 + 89\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5152, "numbers": [89, 87], "target": 176, "expression": "87 + 89"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 89 and 87 that equals 176. Let's try different combinations:\n\n1. 89 + 87 = 176\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 ]
[ "89 + 87 = 176" ]
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[ [ true ] ]
[ [ "89 + 87 = 176" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "89 + 87 = 176", "final_answer": 176.0}]]
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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, 62], create an equation that equals 135. 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.
62 + 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, 62], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6128, \"numbers\": [73, 62], \"target\": 135, \"expression\": \"62 + 73\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6128, "numbers": [73, 62], "target": 135, "expression": "62 + 73"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 73 and 62 that equals 135. Let's try different combinations:\n\n1. 73 + 62 = 135\n This works! The equation is simple and directly gives us the target number.\n\nTherefore, the final answer is:\n<answer>\n73 + 62 = 135\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 [73, 62], create an equation that equals 135. 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 ]
[ "73 + 62 = 135" ]
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[ [ true ] ]
[ [ "73 + 62 = 135" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "73 + 62 = 135", "final_answer": 135.0}]]
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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, 20], create an equation that equals 340. 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.
20*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 [17, 20], create an equation that equals 340. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5938, \"numbers\": [17, 20], \"target\": 340, \"expression\": \"20*17\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5938, "numbers": [17, 20], "target": 340, "expression": "20*17"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 17 and 20 that equals 340. Let's try different combinations:\n\n1. 17 * (20 - 17) = 17 * 3 = 51 (not 340)\n2. 17 + 20 = 37 (not 340)\n3. 20 - 17 = 3 (not 340)\n\nIt seems we need to combine these numbers in a different way. Let's try another co...
[ false ]
[ "" ]
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[ "17 * 20 = 340" ]
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[ [ "17 * 20 = 340" ] ]
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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, 96], 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.
14 + 96
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, 96], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5073, \"numbers\": [14, 96], \"target\": 110, \"expression\": \"14 + 96\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5073, "numbers": [14, 96], "target": 110, "expression": "14 + 96"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 14 and 96 that equals 110. Let's try different combinations:\n\n1. 14 + 96 = 110\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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[ "14 + 96 = 110" ]
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[ [ true ] ]
[ [ "14 + 96 = 110" ] ]
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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 [65, 52], create an equation that equals 117. 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.
65 + 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 [65, 52], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6455, \"numbers\": [65, 52], \"target\": 117, \"expression\": \"65 + 52\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6455, "numbers": [65, 52], "target": 117, "expression": "65 + 52"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 65 and 52 that equals 117. Let's try different combinations:\n\n1. 65 + 52 = 117\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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[ "65 + 52 = 117" ]
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[ [ true ] ]
[ [ "65 + 52 = 117" ] ]
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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 [3, 87], create an equation that equals 261. 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.
3*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 [3, 87], create an equation that equals 261. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5110, \"numbers\": [3, 87], \"target\": 261, \"expression\": \"3*87\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5110, "numbers": [3, 87], "target": 261, "expression": "3*87"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 3 and 87 that equals 261. Let's try different combinations:\n\n1. 3 * 87 = 261\n This works! The equation is already correct.\n\nSince we have found a valid combination, we don't need to add any more steps.\n\n<answer>\n3 * 87 = 261\n</answer...
[ false ]
[ "" ]
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[ true ]
[ "3 * 87 = 261" ]
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[ [ true ] ]
[ [ "3 * 87 = 261" ] ]
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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 [70, 64], create an equation that equals 134. 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 + 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, 64], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5952, \"numbers\": [70, 64], \"target\": 134, \"expression\": \"64 + 70\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5952, "numbers": [70, 64], "target": 134, "expression": "64 + 70"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 70 and 64 that equals 134. Let's try different combinations:\n\n1. 70 + 64 = 134\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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[ "70 + 64 = 134" ]
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[ [ true ] ]
[ [ "70 + 64 = 134" ] ]
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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 [7, 90], create an equation that equals 630. 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*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, 90], create an equation that equals 630. You can use basic arithmetic operations (+, -, *, /) a...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6190, \"numbers\": [7, 90], \"target\": 630, \"expression\": \"90*7\"}"}
test
null
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null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6190, "numbers": [7, 90], "target": 630, "expression": "90*7"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 7 and 90 that equals 630. Let's try different combinations:\n\n1. 7 * 90 = 630\n This combination works!\n\nTherefore, the equation that equals 630 is:\n<answer>\n7 * 90 = 630\n</answer>" ]
[ false ]
[ "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0909__0epoch_3args_grpo-rl", "n_responses": 1}
[ true ]
[ "7 * 90 = 630" ]
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[{"is_correct": true, "error": null, "answer_block": "7 * 90 = 630", "final_answer": 630.0}]
[ [ true ] ]
[ [ "7 * 90 = 630" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "7 * 90 = 630", "final_answer": 630.0}]]
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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 [19, 44], create an equation that equals 836. 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.
44*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 [19, 44], create an equation that equals 836. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5315, \"numbers\": [19, 44], \"target\": 836, \"expression\": \"44*19\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5315, "numbers": [19, 44], "target": 836, "expression": "44*19"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to combine the numbers 19 and 44 using basic arithmetic operations to get the target number 836. Let's try different combinations:\n\n1. 19 + 44 = 63 (not 836)\n2. 19 * 44 = 836 (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 ]
[ "19 * 44 = 836" ]
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[{"is_correct": true, "error": null, "answer_block": "19 * 44 = 836", "final_answer": 836.0}]
[ [ true ] ]
[ [ "19 * 44 = 836" ] ]
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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, 97], create an equation that equals 158. 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.
61 + 97
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, 97], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6208, \"numbers\": [61, 97], \"target\": 158, \"expression\": \"61 + 97\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6208, "numbers": [61, 97], "target": 158, "expression": "61 + 97"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 61 and 97 that equals 158. Let's try different combinations:\n\n1. 61 + 97 = 158\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 [61, 97], create an equation that equals 158. 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 ]
[ "61 + 97 = 158" ]
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[{"is_correct": true, "error": null, "answer_block": "61 + 97 = 158", "final_answer": 158.0}]
[ [ true ] ]
[ [ "61 + 97 = 158" ] ]
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[[{"is_correct": true, "error": null, "answer_block": "61 + 97 = 158", "final_answer": 158.0}]]
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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 [79, 92], create an equation that equals 171. 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.
79 + 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 [79, 92], create an equation that equals 171. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5879, \"numbers\": [79, 92], \"target\": 171, \"expression\": \"79 + 92\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 5879, "numbers": [79, 92], "target": 171, "expression": "79 + 92"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 79 and 92 that equals 171. Let's try different combinations:\n\n1. 79 + 92 = 171\n This combination works!\n\nTherefore, the equation that equals 171 is:\n<answer>\n79 + 92 = 171\n</answer>" ]
[ false ]
[ "" ]
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[ true ]
[ "79 + 92 = 171" ]
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[ [ true ] ]
[ [ "79 + 92 = 171" ] ]
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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, 21], create an equation that equals 294. 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*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 [14, 21], create an equation that equals 294. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6576, \"numbers\": [14, 21], \"target\": 294, \"expression\": \"14*21\"}"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"source_dataset": "countdown", "source_index": 6576, "numbers": [14, 21], "target": 294, "expression": "14*21"}
null
null
null
null
null
null
null
null
[ "To solve this problem, we need to create an equation using the numbers 14 and 21 that equals 294. Let's try different combinations:\n\n1. 14 * (21 - 1) = 14 * 20 = 280 (not 294)\n2. 14 + 21 = 35 (not 294)\n3. 14 * 21 = 294 (this works!)\n\nSo, the equation that equals 294 is:\n\n<answer>\n14 * 21 = 294\n</answer>"...
[ false ]
[ "" ]
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[ true ]
[ "14 * 21 = 294" ]
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[ [ true ] ]
[ [ "14 * 21 = 294" ] ]
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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 [43, 62], create an equation that equals 105. 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.
43 + 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 [43, 62], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6119, \"numbers\": [43, 62], \"target\": 105, \"expression\": \"43 + 62\"}"}
test
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{"source_dataset": "countdown", "source_index": 6119, "numbers": [43, 62], "target": 105, "expression": "43 + 62"}
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[ "To solve this problem, we need to create an equation using the numbers 43 and 62 that equals 105. Let's try different combinations:\n\n1. 43 + 62 = 105\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...
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[ "43 + 62 = 105" ]
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[ [ true ] ]
[ [ "43 + 62 = 105" ] ]
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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 [69, 96], create an equation that equals 165. 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.
69 + 96
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, 96], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, /) ...
[]
[]
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6251, \"numbers\": [69, 96], \"target\": 165, \"expression\": \"69 + 96\"}"}
test
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{"source_dataset": "countdown", "source_index": 6251, "numbers": [69, 96], "target": 165, "expression": "69 + 96"}
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[ "To solve this problem, we need to create an equation using the numbers 69 and 96 that equals 165. Let's try different combinations:\n\n1. 69 + 96 = 165\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...
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[ "69 + 96 = 165" ]
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[ [ true ] ]
[ [ "69 + 96 = 165" ] ]
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2025-09-15