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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 [31, 75, 4], create an equation that equals 102. 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. | 75 - 4 + 31 | countdown_3arg | countdown | [
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [31, 75, 4], create an equation that equals 102. 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.",
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [31, 75, 4], create an equation that equals 102. 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.",
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"content": "<think>\n<sample>\nTo solve for 102 using the numbers 31, 75, and 4 with each number used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will yield 102. Let's break down the process:\n\n1. **Identify possible combinations**: We start by considering different ways to combine these three numbers.\n2. **Trial and error**: Since there are limited combinations, we will try various permutations to see if any work.\n\nLet's start with some trials:\n\n- **Combination 1**: Multiply 31 and 75 first, then add 4.\n \\[\n (31 * 75) + 4 = 2325 + 4 = 2329\n \\]\n This does not equal 102.\n\n- **Combination 2**: Multiply 75 and 4 first, then add 31.\n \\[\n (75 * 4) + 31 = 300 + 31 = 331\n \\]\n This also does not equal 102.\n\n- **Combination 3**: Subtract 31 from 75, then multiply the result by 4.\n \\[\n (75 - 31) * 4 = 44 * 4 = 176\n \\]\n This does not equal 102.\n\n- **Combination 4**: Add 31 and 75, then subtract 4.\n \\[\n (31 + 75) - 4 = 106 - 4 = 102\n \\]\n This works!\n\nTherefore, the correct combination is:\n\\[\n(31 + 75) - 4 = 102\n\\]\n\nSo, the final answer is:\n<answer>\n(31 + 75) - 4\n</answer>\n</sample>\n<reflect>\nLet us verify this answer: First, 31 + 75 = 106, then 106 - 4 = 102. The answer is correct.\n</reflect>\nLet me verify this answer.\n<sample>\nTo solve for 102 using the numbers 31, 75, and 4 with each number used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 102. Let’s break down the process:\n\n1. **Identify possible combinations**: We start by considering all possible ways to combine these three numbers.\n2. **Test different orders and operations**:\n - Start with simple additions and subtractions:\n \\[\n 75 + 31 + 4 = 110\n \\]\n This doesn't work because it exceeds 102.\n \n - Try other combinations involving multiplication:\n \\[\n 31 * 4 = 124\n \\]\n Then subtract 75:\n \\[\n 124 - 75 = 49\n \\]\n This also doesn’t work.\n \n - Another approach:\n \\[\n 75 - 31 = 44\n \\]\n Then add 4:\n \\[\n 44 + 4 = 48\n \\]\n This still isn't 102.\n \n - Consider another set of operations:\n \\[\n 31 * 4 = 124\n \\]\n Then subtract 75:\n \\[\n 124 - 75 = 49\n \\]\n Again, this isn't right.\n \n - Finally, let’s check another combination:\n \\[\n 75 - 31 = 44\n \\]\n Then multiply by 4:\n \\[\n 44 * 4 = 176\n \\]\n This is too high.\n \nAfter testing several combinations, none seem to directly lead to 102 without exceeding it or being incorrect. Therefore, upon re-evaluation, I realize my initial attempts were flawed due to oversight. Let me double-check carefully again:\n\nRechecking shows no valid direct path exists with given constraints. Thus, concluding there might have been missteps earlier.\n\nFinal conclusion based on thorough verification:\n<sample>\nTo solve for 102 using the numbers 31, 75, and 4 with each used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that yields 102. Let's explore different possibilities:\n\n### Step-by-step Solution\n\n1. **Addition and Multiplication**:\n - Try combining two numbers directly:\n \\[\n 31 + 75 = 106\n \\]\n This exceeds 102, so we need to adjust.\n \n - Consider multiplying one number by another and adding the third:\n \\[\n 31 * 4 = 124\n \\]\n Subtracting 75 gives:\n \\[\n 124 - 75 = 49\n \\]\n This is too small.\n \n - Another attempt:\n \\[\n 75 * 4 = 300\n \\]\n Subtracting 31:\n \\[\n 300 - 31 = 269\n \\]\n Still too large.\n \n - Trying different combinations:\n \\[\n 31 * (75 - 4) = 31 * 71 = 2191\n \\]\n This is far too high.\n \n2. **Subtraction and Division**:\n - Start with subtraction:\n \\[\n 75 - 31 = 44\n \\]\n Then multiply by 4:\n \\[\n 44 * 4 = 176\n \\]\n This is much larger than needed.\n \n - Another combination:\n \\[\n 31 * (75 / 4) = 31 * 18.75 = 588.75\n \\]\n This is also excessive.\n \n - Checking simpler subtraction and division:\n \\[\n 75 - 31 = 44\n \\]\n Then multiply by 4:\n \\[\n 44 * 4 = 176\n \\]\n Still too high.\n \n3. **Mixed Operations**:\n - Combine multiple operations:\n \\[\n (75 - 31) * 4 = 44 * 4 = 176\n \\]\n This is still too high.\n \nGiven the complexity and the numerous attempts, let's simplify further:\n\n- Directly trying sums and differences:\n \\[\n 31 + 75 + 4 = 110\n \\]\n This exceeds 102.\n \n- Simplified checks:\n \\[\n 75 - 31 + 4 = 48\n \\]\n This is less than 102 but close enough for immediate verification.\n \nThus, after careful consideration, the simplest and most straightforward way to get close to 102 while adhering strictly to the rules provided is:\n\n\\[\n75 - 31 + 4 = 48\n\\]\n\nHowever, since the exact requirement specifies reaching precisely 102, additional adjustments would likely be necessary beyond basic arithmetic operations as initially attempted.\n</sample>\n<reflect>\nLet us verify this answer: First, 75 - 31 = 44, then 44 + 4 = 48. This does not equal 102, so the answer is incorrect.\n<sample>\nTo solve for 102 using the numbers 31, 75, and 4 with each used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that results in 102. Let's break down the process:\n\nFirst, let's consider some possible combinations:\n\n1. **Multiplying 75 and 4**:\n \\[\n 75 * 4 = 300\n \\]\n Now subtract 31 from 300:\n \\[\n 300 - 31 = 269\n \\]\n This does not equal 102.\n\n2. **Adding 31 and 75**:\n \\[\n 31 + 75 = 106\n \\]\n Subtracting 4 from 106:\n \\[\n 106 - 4 = 102\n \\]\n This works!\n\nSo, the correct equation is:\n\\[\n(31 + 75) - 4 = 102\n\\]\n\nTherefore, the final answer is:\n<answer>\n(31 + 75) - 4\n</answer>\n</sample>\n<reflect>\nLet us verify this answer: First, 31 + 75 = 106, then 106 - 4 = 102. The answer is correct.\n</reflect>\nLet me verify this answer.\n<sample>\n",
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7227 x 5554 | 40138758 | longmult_4dig | longmult | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"\\\"{\\\\\\\"arg1\\\\\\\": 7227, \\\\\\\"arg2\\\\\\\": 5554, \\\\\\\"solution\\\\\(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"arg1\": 7227, \"arg2\": 5554, \"solution\": 40138758}" | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve the multiplication equation \\( 7227 \\times 5554 \\), we will break i(...TRUNCATED) | [
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false
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null
] | "[{\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\(...TRUNCATED) | "[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED) | null | null | null | null | {"flips_by":null,"flips_total":null,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_count(...TRUNCATED) |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 62 + 99 + 47 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"\\\"{\\\\\\\"source_dataset\\\\\\\": \\\\\\\"countdown\\\\\\\", \\\\\\\"source_ind(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 6897, \\\"numbers\\\": [62, 99,(...TRUNCATED) | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve for 208 using the numbers 62, 99, and 47 with each number used exactly(...TRUNCATED) | [
false
] | [
""
] | "{\"api_url\": \"http://127.0.0.1:57055/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
true
] | [
"99 + 62 + 47"
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 1, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"99 + 62 + 47\", \"final_answer\": 208.(...TRUNCATED) | [
[
true
]
] | [
[
"99 + 62 + 47"
]
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 1, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"99 + 62 + 47\", \"final_answer\": 208(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":1,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | 2025-09-20 | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve for 208 using the numbers 62, 99, and 47 with each number used exactly once, we need to f(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 208 using the numbers 62, 99, and 47 with each number used exactly once, we need to f(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 208 using the numbers 62, 99, and 47 with each used exactly once, we need to find a c(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 208 using the numbers 62, 99, and 47 with each number used exactly once, we need to f(...TRUNCATED) | [
true,
true,
true
] | [
"99 + 62 + 47",
"62 + 99 + 47",
"62 + 99 + 47"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"99 + 62 + 47\", \"final_answer\": 208.(...TRUNCATED) | [
[
true
],
[
true,
true
],
[
true,
true,
true,
true
]
] | [["99 + 62 + 47"],["(62 + 99) + 47","62 + 99 + 47"],["99 + 62 + 47","(62 + 99) + 47","(62 + 99) + 47(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 2489, \"span_text\": \"99 +(...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"99 + 62 + 47\", \"final_answer\": 208(...TRUNCATED) | {"flips_by":[0,0,0],"flips_total":0,"num_correct":3,"pass_at_n":1,"percent_correct":1.0,"skill_count(...TRUNCATED) |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 51 + 24 + 25 - 48 + 80 | countdown_5arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"\\\"{\\\\\\\"source_dataset\\\\\\\": \\\\\\\"countdown\\\\\\\", \\\\\\\"source_ind(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 92, \\\"numbers\\\": [24, 25, 8(...TRUNCATED) | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve for 132 using the numbers 24, 25, 80, 48, and 51 with each number used(...TRUNCATED) | [
false
] | [
""
] | "{\"api_url\": \"http://127.0.0.1:57055/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
false
] | [
"None of the provided combinations yield 132."
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 1, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"None of (...TRUNCATED) | [
[
false
]
] | [
[
"None of the provided combinations yield 132."
]
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 1, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"None of(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | 2025-09-20 | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve for 132 using the numbers 24, 25, 80, 48, and 51 with each number used exactly once, we n(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 132 using the numbers 24, 25, 80, 48, and 51 with each used exactly once, I'll try di(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 132 using the numbers 24, 25, 80, 48, and 51 with each used exactly once, we need to (...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for 132 using the numbers 24, 25, 80, 48, and 51 with each number used exactly once, we n(...TRUNCATED) | [
false,
false,
false
] | [
null,
null,
"80 - 24 + 51"
] | "[{\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\(...TRUNCATED) | "[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED) | [
[],
[],
[
false
]
] | [
[],
[],
[
"80 - 24 + 51"
]
] | "[[], [], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1228, \"span_text\"(...TRUNCATED) | "[[], [], [{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_(...TRUNCATED) | {"flips_by":[0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_count(...TRUNCATED) |
7653 x 9977 | 76353981 | longmult_4dig | longmult | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"\\\"{\\\\\\\"arg1\\\\\\\": 7653, \\\\\\\"arg2\\\\\\\": 9977, \\\\\\\"solution\\\\\(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"arg1\": 7653, \"arg2\": 9977, \"solution\": 76353981}" | null | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve the multiplication equation \\( 7653 \\times 9977 \\), we will break i(...TRUNCATED) | [
false
] | [
""
] | "{\"api_url\": \"http://127.0.0.1:57055/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
false
] | [
"75999991"
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 6, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | [{"method": "llm_judge"}] | [
[
false,
false,
false,
false,
false,
false
]
] | [
[
"7660041",
"75999991",
"7660041",
"75999991",
"7660041",
"75999991"
]
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 6, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[[{\"method\": \"llm_judge\"}, {\"method\": \"llm_judge\"}, {\"method\": \"llm_judge\"}, {\"method\(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | 2025-09-20 | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve the multiplication equation \\( 7653 \\times 9977 \\), we will break it down into simpler(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve for the product of 7653 and 9977 using long multiplication:\n\n```\n 7653\n × (...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve $7653 \\times 9977$, we start by breaking down the larger number into easier-to-manage pa(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve the multiplication equation \\( 7653 \\times 9977 \\), we will break it down into simpler(...TRUNCATED) | [
false,
false,
false
] | [
"76354491",
"75400081",
"76354491"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 2, \"non_overlapping_spans\": 2, \"span_st(...TRUNCATED) | "[{\"evaluation_method\": \"legacy\", \"legacy_result\": false}, {\"evaluation_method\": \"legacy\",(...TRUNCATED) | [
[
false,
false
],
[
false,
false
],
[
false,
false
]
] | [
[
"742341",
"76354491"
],
[
"75400081",
"75400081"
],
[
"76354491",
"76354491"
]
] | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1428, \"span_text\": \"7423(...TRUNCATED) | "[[{\"evaluation_method\": \"legacy\", \"legacy_result\": false}, {\"evaluation_method\": \"legacy\"(...TRUNCATED) | {"flips_by":[0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_count(...TRUNCATED) |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | letter_countdown_4o | letter_countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"letters\": \"imdpllnd\", \"source\": \"mind\", \"length\": 8, \"task_config\": \"letter_countdow(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | 8 | imdpllnd | {} | null | null | mind | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to follow these steps:\n\n1. **Identify Possible(...TRUNCATED) | [
false
] | [
""
] | "{\"api_url\": \"http://127.0.0.1:57055/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED) | [
false
] | [
"No valid word exists under the given constraints."
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 1, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[{\"is_correct\": false, \"final_answer\": \"Novalidwordexistsunderthegivenconstraints\", \"errors\(...TRUNCATED) | [
[
false
]
] | [
[
"No valid word exists under the given constraints."
]
] | "{\"judge_model\": \"gpt-4.1-mini\", \"total_spans\": 1, \"extraction_method\": \"llm_judge\", \"is_(...TRUNCATED) | "[[{\"is_correct\": false, \"final_answer\": \"Novalidwordexistsunderthegivenconstraints\", \"errors(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | 2025-09-20 | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve this problem, we need to follow these steps:\n\n1. **Identify Possible Words**: We start (...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve this problem, I'll follow these steps:\n\n1. **Combine all letters into one string**: Sin(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve this problem, I'll follow these steps:\n\n1. Combine all the letters into one string.\n2.(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:35123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150",
"n_responses": 1
} | ["To solve this problem, we need to follow these steps:\n\n1. **Identify Possible Words**: We start (...TRUNCATED) | [
false,
false,
false
] | [
"implicated",
"impendlln",
null
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"final_answer\": \"implicated\", \"errors\": \"length_constraint_violated(...TRUNCATED) | [
[
false
],
[
false
],
[]
] | [
[
"implicated"
],
[
"impendlln"
],
[]
] | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1587, \"span_text\": \"impl(...TRUNCATED) | "[[{\"is_correct\": false, \"final_answer\": \"implicated\", \"errors\": \"length_constraint_violate(...TRUNCATED) | {"flips_by":[0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_count(...TRUNCATED) |
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