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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 48 + 73 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6756, \"numbers\": [73, 48], \"target\": 121, \"expression\": \"48 + 73\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 73 and 48 that equals 121.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 121.\n\nHere’s one way to approach ... | [
false
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""
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true
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"73 + 48 = 121"
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"It is impossible to form an exact equation using the numbers 73 and 48 that sums up to 121 while adhering strictly to the rules stated.",
"73 + 48 = 121",
"73 + 48 = 121"
]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*54 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6685, \"numbers\": [14, 54], \"target\": 756, \"expression\": \"14*54\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {14, 54} that equals exactly 756.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nStep 1: Multiply ... | [
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false
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"(14 * 54) + x = 756"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 6, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(14 * 54) + x = 756", "start_line": 127, "end_line": 127, "context": "In conclusion, the answer is:", "start_pos": 4303, "en... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(14 * 54) + x = 756", "final_answer": null}] | [
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[
"((14 * 14) + 54) / 14",
"\\( 54 \\times 14 = 756 \\)",
"((14/54)*(14/54))+108",
"(14 * 14 - 54) / 14 = 756",
"(14 * 54) + x = 756",
"(14 * 54) + x = 756"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 6, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 6, "internal_spans_detailed": [{"answer": "((14 * 14) + 54) / 14", "start_line": 14, "end_line": 14, "context": "Final Equation:", ... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((14 * 14) + 54) / 14", "final_answer": 756.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 54 \\times 14 = 756 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression do... | {
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... | 2025-09-18 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [40, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 40 + 70 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [40, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5824, \"numbers\": [40, 70], \"target\": 110, \"expression\": \"40 + 70\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5824, "numbers": [40, 70], "target": 110, "expression": "40 + 70"} | null | null | null | null | null | null | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {40, 70} which will result in exactly 110.\n\nStep 1: Start with one of the numbers.\n - Let's choose 40 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 40 to reach 110 qu... | [
false
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""
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true
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"40 + 70"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "40 + 70", "start_line": 45, "end_line": 45, "context": "<answer>", "start_pos": 1169, "end_pos": 1177}, "total_spans_found":... | [{"is_correct": true, "error": null, "answer_block": "40 + 70", "final_answer": 110.0}] | [
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[
"40 + 70",
"40 + 70",
"40 + 70"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [30, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 31*30 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [30, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5930, \"numbers\": [30, 31], \"target\": 930, \"expression\": \"31*30\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {30, 31} that equals exactly 930.\nThink carefully about how these two numbers interact with each other through addition, subtraction, multiplication, division, etc., until we arrive at our goal of creating an express... | [
false
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""
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false
] | [
"Step 1: 30 + 31 = 61"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Step 1: 30 + 31 = 61", "start_line": 161, "end_line": 161, "context": "What is the result when you add 30 and 31?", "start_p... | [{"is_correct": false, "error": "Incorrect final answer", "answer_block": "Step 1: 30 + 31 = 61", "final_answer": 61.0}] | [
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[
"\\( 30 \\times 31 = 930 \\)",
"No valid direct calculation exists under standard arithmetic rules leading exactly to 930 solely with 30 and 31.",
"\\u221A30 * (31 + \\u221A30)",
"\\( 31 \\times 31 - 11 + 20 - 40 \\)",
"Step 1: 30 + 31 = 61"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\( 30 \\times 31 = 930 \\)", "start_line": 23, "end_line": 23, "context": "final equati... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 30 \\times 31 = 930 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid direct calculation exists under standard arithmetic rules leading exactly to 930 solely with 3... | {
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... | 2025-09-18 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [25, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 25 + 78 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [25, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5864, \"numbers\": [25, 78], \"target\": 103, \"expression\": \"25 + 78\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {25, 78} which equals exactly 103.\n\nStep 1: Start with one of the numbers.\n - Let's choose 78 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 78 to reach 103 quickly. A... | [
false
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""
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true
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"(25 + 78)"
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"(78 + 25)",
"(25 + 78)",
"(25 + 78)"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [85, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 76 + 85 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [85, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6120, \"numbers\": [85, 76], \"target\": 161, \"expression\": \"76 + 85\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 85 and 76 that equals 161.\nThink carefully about how these two numbers can interact through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result.\n\nStep-by-step thinking process:\n\... | [
false
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""
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"Step 1: 85 + 76 = 161"
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"Step 1: 85 + 76 = 161",
"Step 1: 85 + 76 = 161"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [45, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 45 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [45, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5533, \"numbers\": [45, 75], \"target\": 120, \"expression\": \"45 + 75\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {45, 75} which equals exactly 120.\n- Step 1: Add 45 and 75 together.\n- Step 2: Divide the result obtained from Step 1 by 2.\n- Final Equation: (45 + 75) / 2\n\nTherefore,\n<answer>((45 + 75) / 2)</answer>\n</sample>... | [
false
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""
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true
] | [
"(45 + 75)"
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"((45 + 75) / 2)",
"45 + 75 = 120",
"(45 + 75)",
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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 [62, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*62 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [62, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5746, \"numbers\": [62, 14], \"target\": 868, \"expression\": \"14*62\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {62, 14} that equals 868.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we arrive at our goal of creating an expression equaling... | [
false
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""
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false
] | [
"\\( 62 \\times 14 = 868 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 62 \\times 14 = 868 \\)", "start_line": 70, "end_line": 70, "context": "Hence, the correct answer is:", "start_pos": 271... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 62 \\times 14 = 868 \\)", "final_answer": null}] | [
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"(62 * 14) - 0 = 868",
"\\( 62 \\times 62 - 14 \\div 62 \\)",
"\\( 62 \\times 14 = 868 \\)",
"\\( 62 \\times 14 = 868 \\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "(62 * 14) - 0 = 868", "start_line": 21, "end_line": 21, "context": "Final Equation:", "s... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(62 * 14) - 0 = 868", "final_answer": 868.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 62 \\times 62 - 14 \\div 62 \\)", "final_answer": null}, {"is_correct": false, "error"... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [87, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 6*87 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [87, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5021, \"numbers\": [87, 6], \"target\": 522, \"expression\": \"6*87\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {87, 6} that equals exactly 522.\nThink carefully about how these numbers interact with addition, subtraction, multiplication, division, etc., to form our desired result.\n \nFirstly, let’s consider possible combinat... | [
false
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""
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false
] | [
"(87 * 6 - 6) + 0"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(87 * 6 - 6) + 0", "start_line": 101, "end_line": 101, "context": "<answer> (87 * 6 - 6) + 0 </answer>", "start_pos": 3633, ... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(87 * 6 - 6) + 0", "final_answer": 522.0}] | [
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false,
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false
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[
"\\( 87 \\times 6 = 522 \\)",
"Step 1: 87\nStep 2: 87 + 6 = 93\nStep 3: 93 * 6 = 522",
"((87 - 6) / (87 - 6)) = 522",
"(87 * 6 - 6) + 0",
"(87 * 6 - 6) + 0"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\( 87 \\times 6 = 522 \\)", "start_line": 16, "end_line": 16, "context": "<answer> \\( ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 87 \\times 6 = 522 \\)", "final_answer": null}, {"is_correct": false, "error": "Incorrect arithmetic in line: Step 3: 93 * 6 = 522", "answer_block": "Step 1: 87\nStep 2: 87 + 6 = 93\nStep 3: 93 * 6 = 522", "final_answer": 522.0}, {"i... | {
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... | 2025-09-18 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [90, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 90 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [90, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6819, \"numbers\": [90, 66], \"target\": 156, \"expression\": \"90 + 66\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 90 and 66 that equals 156.\nThink carefully about how these two numbers can interact through addition, subtraction, multiplication, division, etc., to achieve the desired result of 156.\n\nStep 1: Start with one of the given numbers (le... | [
false
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""
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false
] | [
"90/2*2-78=156"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "90/2*2-78=156", "start_line": 100, "end_line": 100, "context": "<answer> 90/2*2-78=156 </answer>", "start_pos": 3227, "end_p... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "90/2*2-78=156", "final_answer": 156.0}] | [
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false,
false,
false,
false
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] | [
[
"\\( (90 + 66) = 156 \\)",
"((90 + 66) / 90) * (90 + 66) = 156",
"(90 * 66) / 36 - 165 + 156",
"90/2*2-78=156",
"90/2*2-78=156"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\( (90 + 66) = 156 \\)", "start_line": 29, "end_line": 29, "context": "<answer> \\( (90... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (90 + 66) = 156 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((90 + 66) / 90) * (90 + 66) = 156", "final_answer": 156.0}, {"is_correct": false, "error": "Expr... | {
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... | 2025-09-18 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [17, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 17 + 92 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [17, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5462, \"numbers\": [17, 92], \"target\": 109, \"expression\": \"17 + 92\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {17, 92} that equals exactly 109.\n\nStep 1: Start with one of the numbers.\n - Let's choose 92 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 92 to reach 109 quickly. Ad... | [
false
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""
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false
] | [
"\\( 17 + 92 = 109 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 17 + 92 = 109 \\)", "start_line": 97, "end_line": 97, "context": "Line 97 in final <answer> block", "start_pos": 3995, "... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 17 + 92 = 109 \\)", "final_answer": null}] | [
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false
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[
"No valid equation found.",
"\\( 92 + 17 = 109 \\)",
"\\( 17 + 92 = 109 \\)",
"\\( 17 + 92 = 109 \\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "No valid equation found.", "start_line": 39, "end_line": 39, "context": "Line 39 in firs... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation found.", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 92 + 17 = 109 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expressi... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 32*20 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6675, \"numbers\": [32, 20], \"target\": 640, \"expression\": \"32*20\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {32, 20} that equals exactly 640.\nThink carefully about how these two numbers interact through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nStep 1: Start with one of the... | [
false
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""
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true
] | [
"32 * 20 = 640"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "32 * 20 = 640", "start_line": 39, "end_line": 39, "context": "In conclusion, the answer is:", "start_pos": 932, "end_pos": 9... | [{"is_correct": true, "error": null, "answer_block": "32 * 20 = 640", "final_answer": 640.0}] | [
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[
"\\( 32 \\times 20 = 640 \\)",
"32 * 20 = 640",
"32 * 20 = 640"
]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 74 + 51 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5279, \"numbers\": [74, 51], \"target\": 125, \"expression\": \"74 + 51\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {74, 51} which will result in exactly 125 when evaluated.\n\nStep 1: Start with one of the numbers.\n - Let's choose 74 first.\n\nStep 2: Multiply the chosen number by another number from the set.\n - We need to f... | [
false
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""
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true
] | [
"(74 + 51)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(74 + 51)", "start_line": 48, "end_line": 48, "context": "Hence, the correct answer is:", "start_pos": 1394, "end_pos": 1404... | [{"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}] | [
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false,
true,
true
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[
"\\( 74 \\times 51 - 354 = 125 \\)",
"(74 + 51)",
"(74 + 51)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "\\( 74 \\times 51 - 354 = 125 \\)", "start_line": 24, "end_line": 24, "context": "Final ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 74 \\times 51 - 354 = 125 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 51)", "final_answer": 125.0}]] | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 7*80 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5775, \"numbers\": [80, 7], \"target\": 560, \"expression\": \"7*80\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {80, 7} that equals exactly 560.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nStep 1: Start with... | [
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""
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false
] | [
"(80 * 7) - 140 = 560"
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[
"80 * 7 = 560",
"\\( 80 \\times 7 = 560 \\)",
"(80 * 7) - 140 = 560",
"(80 * 7) - 140 = 560"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "80 * 7 = 560", "start_line": 15, "end_line": 15, "context": "Final Equation:", "start_po... | [[{"is_correct": true, "error": null, "answer_block": "80 * 7 = 560", "final_answer": 560.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 80 \\times 7 = 560 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(8... | {
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... | 2025-09-18 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [73, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 73 + 80 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6089, \"numbers\": [73, 80], \"target\": 153, \"expression\": \"73 + 80\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 73 and 80 that equals 153.\nThink carefully about how these two numbers can interact through addition, subtraction, multiplication, division, etc., to achieve the desired result.\n\nStep 1: Start with one of the given numbers (let's cho... | [
false
] | [
""
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true
] | [
"(73 + 80)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(73 + 80)", "start_line": 75, "end_line": 75, "context": "<answer> (73 + 80) </answer>", "start_pos": 2498, "end_pos": 2508}... | [{"is_correct": true, "error": null, "answer_block": "(73 + 80)", "final_answer": 153.0}] | [
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false,
true,
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[
"73 + 80 = 153",
"\\( 73 + 80 = 153 \\)",
"(5840 / 80) - 73 = 153",
"(73 + 80)",
"(73 + 80)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "73 + 80 = 153", "start_line": 19, "end_line": 20, "context": "<answer> 73 + 80 = 153 </a... | [[{"is_correct": true, "error": null, "answer_block": "73 + 80 = 153", "final_answer": 153.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 73 + 80 = 153 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(5840 ... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [27, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 84 + 27 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [27, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5705, \"numbers\": [27, 84], \"target\": 111, \"expression\": \"84 + 27\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {27, 84} which equals exactly 111.\n\nStep 1: Start with one of the numbers.\n - Let's choose 84 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 84 to reach 111 quickly. A... | [
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""
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true
] | [
"Step 1: 27 + 84 = 111"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Step 1: 27 + 84 = 111", "start_line": 99, "end_line": 100, "context": "<answer>", "start_pos": 2811, "end_pos": 2842}, "tota... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 27 + 84 = 111", "final_answer": 111.0}] | [
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"\\( 84 + 27 \\)",
"27 + 84 = 111",
"Step 1: 27 + 84 = 111",
"Step 1: 27 + 84 = 111"
]
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"flips_total": 0,
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... | 2025-09-18 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [66, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 55 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6474, \"numbers\": [66, 55], \"target\": 121, \"expression\": \"55 + 66\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {66, 55} which will result in exactly 121.\n\nStep 1: Start with one of the numbers.\n - Let's choose 66 first.\n\nStep 2: Add another number to get closer to our goal.\n - We need more than just 66 to reach 121. ... | [
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true
] | [
"(66 + 55)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(66 + 55)", "start_line": 127, "end_line": 127, "context": "Line 127: answer span inside <answer> tags", "start_pos": 5725, ... | [{"is_correct": true, "error": null, "answer_block": "(66 + 55)", "final_answer": 121.0}] | [
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false,
false,
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[
"\\( (66 + 55) \\)",
"(66 - 44) + 55 = 121",
"No valid equations found using standard arithmetic operations on the given numbers [66, 55] that equal 121.",
"(66 + 55)",
"(66 + 55)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\( (66 + 55) \\)", "start_line": 21, "end_line": 21, "context": "Line 21: answer span i... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (66 + 55) \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(66 - 44) + 55 = 121", "final_answer": 121.0}, {"is_correct": false, "error": "Could not evaluate expre... | {
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... | 2025-09-18 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [66, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5465, \"numbers\": [66, 47], \"target\": 113, \"expression\": \"47 + 66\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 66 and 47 exactly once such that the result is 113.\n\nStep 1: Start with the given numbers.\n Numbers available: 66, 47\n\nStep 2: We need to find a combination of these numbers that adds up to 113 when combined through addition, sub... | [
false
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""
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true
] | [
"66 + 47 = 113"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "66 + 47 = 113", "start_line": 73, "end_line": 74, "context": "lines 73-74, inside <answer> tags at the end", "start_pos": 26... | [{"is_correct": true, "error": null, "answer_block": "66 + 47 = 113", "final_answer": 113.0}] | [
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false,
true,
true
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] | [
[
"((66 - 47) * 2) + 1 = 113",
"66 + 47 = 113",
"66 + 47 = 113"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "((66 - 47) * 2) + 1 = 113", "start_line": 41, "end_line": 41, "context": "line 41, insid... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((66 - 47) * 2) + 1 = 113", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "66 + 47 = 113", "final_answer": 113.0}, {"is_correct": true, "error": null, "answer_block": "66 + 47 = 113", "final_answer... | {
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... | 2025-09-18 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 91 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6286, \"numbers\": [75, 91], \"target\": 166, \"expression\": \"91 + 75\"}"} | test | null | null | null | null | null | null | null | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {75, 91} which will result in exactly 166 when evaluated correctly according to standard order of operations (PEMDAS/BODMAS).\n\nThought process:\n\nTo achieve the sum of 166 with two distinct integers from our provid... | [
false
] | [
""
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false
] | [
"\\( 75 + 91 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 75 + 91 \\)", "start_line": 23, "end_line": 23, "context": "<answer> \\( 75 + 91 \\) </answer>", "start_pos": 836, "end... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 75 + 91 \\)", "final_answer": null}] | [
[
false
]
] | [
[
"\\( 75 + 91 \\)"
]
] | {"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 \\)", "start_line": 23, "end_line": 23, "context": "<answer> \\( 75 + 91 \\... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 75 + 91 \\)", "final_answer": null}]] | {
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... | 2025-09-18 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [81, 40], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 81 + 40 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {81, 40} which will result in exactly 121.\n\nStep 1: Start with one of the numbers.\n - Let's choose 81 first.\n\nStep 2: Add another number to get closer to our goal.\n - We need more than just 81 so let’s add 4... | [
false
] | [
""
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"(81 - 40) * 3 - 2"
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"\\( 81 + 40 = 121 \\)",
"\\( 81 + 40 = 121 \\)",
"No valid equation exists under the given constraints.",
"(81 - 40) * 3 - 2",
"(81 - 40) * 3 - 2"
]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [37, 87], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {37, 87} which equals exactly 124. Each number must be utilized precisely once.\n\nStep-by-step thinking process:\n\n1. We need to find two numbers whose sum gives us 124.\n - The largest possible combination would ... | [
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true
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"37 + 87"
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[
"\\( 87 - 37 + 7 - 37 + 9 - 11 \\)",
"37 + 87",
"37 + 87"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [63, 52], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 63 and 52 that equals 115.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 115.\n\nHere’s one way to approach ... | [
false
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""
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false
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"((63/63)*52)+63"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "((63/63)*52)+63", "start_line": 100, "end_line": 100, "context": "line 100, answer span inside <answer> tags", "start_pos": ... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "((63/63)*52)+63", "final_answer": 115.0}] | [
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"\\( (63 - 52) + (11 + 104) = 115 \\)",
"Step 1: 63 \nStep 2: 63 + 52 = 115",
"\\(63 + 52 = 115\\)",
"((63/63)*52)+63",
"((63/63)*52)+63"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\( (63 - 52) + (11 + 104) = 115 \\)", "start_line": 30, "end_line": 30, "context": "lin... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (63 - 52) + (11 + 104) = 115 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "Step 1: 63 \nStep 2: 63 + 52 = 115", "final_answer": 115.0}, {"is_correct": false, "error": "Could not evaluate expressio... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {41, 22} that equals exactly 902.\nThink carefully about how these two numbers interact through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nStep 1: Start with one of the... | [
false
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""
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false
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"((41 + 22) / 2) - 10"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 7, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "((41 + 22) / 2) - 10", "start_line": 163, "end_line": 163, "context": "Hence, the correct answer is:", "start_pos": 5038, "e... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((41 + 22) / 2) - 10", "final_answer": 902.0}] | [
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"\\( 41 \\times 22 = 902 \\)",
"\\( (41 + 22) \\times 15 - 43 = 902 \\)",
"\\( 41 + 22 = 63 \\)\n\\( 63 \\times 15 = 945 \\)\n\\( 945 - 43 = 902 \\)",
"(41 * 41) - 761",
"41 + 41 + 41 + 41 + 22",
"((41 + 22) / 2) - 10",
"((41 + 22) / 2) - 10"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 7, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 7, "internal_spans_detailed": [{"answer": "\\( 41 \\times 22 = 902 \\)", "start_line": 16, "end_line": 16, "context": "Final Answer... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 41 \\times 22 = 902 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (41 + 22) \\times 15 - 43 = 902 \\)", "final_answer": null}, {"is_correct": false, "error": "Could ... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 61 and 64 that equals 125.\nThink carefully about how these two numbers can interact through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result.\n\nStep-by-step thinking process:\n\... | [
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true
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"61 + 64"
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[
"61 + 64 = 125",
"61 + 64",
"61 + 64"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "61 + 64 = 125", "start_line": 15, "end_line": 15, "context": "Final Answer:", "start_pos... | [[{"is_correct": true, "error": null, "answer_block": "61 + 64 = 125", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "61 + 64", "final_answer": 125.0}, {"is_correct": true, "error": null, "answer_block": "61 + 64", "final_answer": 125.0}]] | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 97 and 55 that equals 152.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 152.\n\nHere’s one way to approach ... | [
false
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""
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true
] | [
"97 + 55 = 152"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "97 + 55 = 152", "start_line": 119, "end_line": 119, "context": "Hence, the correct answer is:", "start_pos": 4286, "end_pos"... | [{"is_correct": true, "error": null, "answer_block": "97 + 55 = 152", "final_answer": 152.0}] | [
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true
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[
"\\( 97 + 55 = 152 \\)",
"\\( 97 + 55 = 152 \\)",
"97 + 55 = 152",
"97 + 55 = 152"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "\\( 97 + 55 = 152 \\)", "start_line": 60, "end_line": 60, "context": "Therefore, the fin... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 97 + 55 = 152 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 97 + 55 = 152 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "97 + 55 =... | {
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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 [76, 43], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 76 and 43 that equals 119.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 119.\n\nHere’s one way to approach ... | [
false
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""
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false
] | [
"76 * 43 = 3288"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "76 * 43 = 3288", "start_line": 42, "end_line": 42, "context": "Line 42: 76 * 43 = 3288", "start_pos": 1250, "end_pos": 1265}... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "76 * 43 = 3288", "final_answer": 3288.0}] | [
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false,
false
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] | [
[
"\\( (76 + 43) - 50 / 2 + 50 \\)",
"76 * 43 = 3288",
"76 * 43 = 3288"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "\\( (76 + 43) - 50 / 2 + 50 \\)", "start_line": 19, "end_line": 19, "context": "Line 19:... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (76 + 43) - 50 / 2 + 50 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "76 * 43 = 3288", "final_answer": 3288.0}, {"is_correct": false, "error": "Expression does... | {
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0
... | 2025-09-18 |
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 b... | 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 | null | null | null | null | null | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {46, 5} that equals 230.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we arrive at our goal of creating an expression equaling ... | [
false
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""
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true
] | [
"46 * 5"
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"\\( 46 \\times 5 = 230 \\)",
"46 * 5",
"46 * 5"
]
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 81 and 20 that equals 101.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 101.\n\nHere’s one way to approach ... | [
false
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""
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false
] | [
"(81 + 20) - 20 + 1"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(81 + 20) - 20 + 1", "start_line": 107, "end_line": 107, "context": "<answer>", "start_pos": 3296, "end_pos": 3315}, "total_... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(81 + 20) - 20 + 1", "final_answer": 101.0}] | [
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[
"\\( (81 - 20) + (81 - 20) = 101 \\)",
"\\( 81 + 20 = 101 \\)",
"(81 / 20) + 1 * 7 - 3",
"(81 + 20) - 20 + 1"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "\\( (81 - 20) + (81 - 20) = 101 \\)", "start_line": 28, "end_line": 28, "context": "Fina... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (81 - 20) + (81 - 20) = 101 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 81 + 20 = 101 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does ... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {20, 90} which will result in exactly 110.\n\nStep 1: Start with one of the numbers.\n - Let's choose 20 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 20 to reach 110 qu... | [
false
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""
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false
] | [
"\\( 20 + 90 = 110 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 20 + 90 = 110 \\)", "start_line": 82, "end_line": 83, "context": "<answer>\n\\( 20 + 90 = 110 \\)\n</answer>", "start_po... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 20 + 90 = 110 \\)", "final_answer": null}] | [
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false
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[
"20 + 90 = 110",
"(20 + 90)",
"\\( 20 + 90 = 110 \\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "20 + 90 = 110", "start_line": 16, "end_line": 16, "context": "<answer>20 + 90 = 110</ans... | [[{"is_correct": true, "error": null, "answer_block": "20 + 90 = 110", "final_answer": 110.0}, {"is_correct": true, "error": null, "answer_block": "(20 + 90)", "final_answer": 110.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 20 + 90 = 110 \\)", "final_answer": null}]] | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {28, 92} which equals exactly 120.\n- Step 1: Add 92 to itself twice (since adding any other combination would not yield 120).\n- Step 2: Divide the result by 28.\n- Final Equation: ((92 + 92) / 28)\n\nTherefore, the ... | [
false
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""
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true
] | [
"28 + 92 = 120"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "28 + 92 = 120", "start_line": 130, "end_line": 131, "context": "So after checking, the final result is:", "start_pos": 4404,... | [{"is_correct": true, "error": null, "answer_block": "28 + 92 = 120", "final_answer": 120.0}] | [
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false,
true,
true
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[
"((92 + 92) / 28)",
"\\( 28 \\times 92 = 2576 \\\\ \n\\text{Then adjust accordingly...}",
"28 + 92 = 120",
"28 + 92 = 120"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "((92 + 92) / 28)", "start_line": 12, "end_line": 12, "context": "Therefore, the equation... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((92 + 92) / 28)", "final_answer": 120.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 28 \\times 92 = 2576 \\\\ \n\\text{Then adjust accordingly...}", "final_answer": null}, {"is_correc... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {76, 76} which equals exactly 152.\n\nStep 1: Add the two identical numbers together.\n Step 2: Multiply the result from Step 1 by itself.\n Step 3: Subtract 104 from the product obtained in Step 2.\n \nFinal Eq... | [
false
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""
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false
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"(76 + 76) / 2"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 6, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(76 + 76) / 2", "start_line": 135, "end_line": 135, "context": "Line 135: answer span inside <answer> tags", "start_pos": 56... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(76 + 76) / 2", "final_answer": 152.0}] | [
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false,
false,
false,
false,
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[
"((76 + 76) * (76 + 76)) - 104",
"\\( 76 + 76 = 152 \\)",
"No valid equation found within the constraints provided.",
"(76 * 76) / 2 / 2 + 76",
"(76 + 76) / 2",
"(76 + 76) / 2"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 6, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 6, "internal_spans_detailed": [{"answer": "((76 + 76) * (76 + 76)) - 104", "start_line": 16, "end_line": 16, "context": "Line 16: a... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((76 + 76) * (76 + 76)) - 104", "final_answer": 152.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 76 + 76 = 152 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not e... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {54, 58} which equals exactly 112.\n\nStep 1: Start with one of the numbers.\n - Let's choose 54 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 54 so let’s add 58 next.\n... | [
false
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""
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false
] | [
"58 * 2 - 4 = 112"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "58 * 2 - 4 = 112", "start_line": 72, "end_line": 72, "context": "That confirms the final answer is:", "start_pos": 2254, "en... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "58 * 2 - 4 = 112", "final_answer": 112.0}] | [
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[
"\\( 54 + 58 \\)",
"(54 + 58)",
"58 * 2 - 4 = 112",
"58 * 2 - 4 = 112"
]
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {30, 23} that equals 690.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we arrive at our goal of creating an expression equaling... | [
false
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""
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true
] | [
"(30 * 23)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(30 * 23)", "start_line": 128, "end_line": 128, "context": "In conclusion, the answer is:", "start_pos": 4258, "end_pos": 42... | [{"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_answer": 690.0}] | [
[
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true,
true
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[
"30 * 23",
"No valid combination found under strict conditions.",
"(30 * 23)",
"(30 * 23)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "30 * 23", "start_line": 17, "end_line": 17, "context": "Therefore, the equation that use... | [[{"is_correct": true, "error": null, "answer_block": "30 * 23", "final_answer": 690.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid combination found under strict conditions.", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(30 * 23)", "final_a... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [32, 83], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {32, 83} which equals exactly 115.\n\nStep 1: Start with one of the numbers.\n - Let's choose 32 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 32 to reach 115 quickly. A... | [
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true
] | [
"32 + 83 = 115"
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[
"32 + 83 = 115",
"32 + 83 = 115",
"Subtract 32 from 83 to get 51, divide 51 by 32 to approximate 1.606, multiply 1.606 by 83 to roughly 133.018, and add 115 to 133.018 to conclude with 248.018.",
"32 + 83 = 115",
"32 + 83 = 115"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "32 + 83 = 115", "start_line": 20, "end_line": 20, "context": "<answer>32 + 83 = 115</ans... | [[{"is_correct": true, "error": null, "answer_block": "32 + 83 = 115", "final_answer": 115.0}, {"is_correct": true, "error": null, "answer_block": "32 + 83 = 115", "final_answer": 115.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Subtract 32 from 83 to get 51, divide 51 by 32 to a... | {
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... | 2025-09-18 |
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 b... | 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 | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {37, 3} that equals 111.\n\nStep 1: Start with one of the numbers.\n - Let's choose 37 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 37 to reach 111 quickly. Adding 3 wi... | [
false
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""
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false
] | [
"(37 - 3) / 3 * 10"
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false,
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[
"\\( 37 + 3 = 40 \\\\\n40 \\times 40 = 1600 \\\\\n\\text{But since } 1600 > 111, \\\\\nWe actually want } 40 \\div 4 = 10 \\\\\nAnd finally } 10 \\times 11 = 111",
"((37 + 3) * 3)",
"37 - 3 + 37 - 3 + 37 - 3 = 111",
"(37 - 3) / 3 * 10",
"(37 - 3) / 3 * 10"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\( 37 + 3 = 40 \\\\\n40 \\times 40 = 1600 \\\\\n\\text{But since } 1600 > 111, \\\\\nWe... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 37 + 3 = 40 \\\\\n40 \\times 40 = 1600 \\\\\n\\text{But since } 1600 > 111, \\\\\nWe actually want } 40 \\div 4 = 10 \\\\\nAnd finally } 10 \\times 11 = 111", "final_answer": null}, {"is_correct": false, "error": "Expression does not... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {62, 44} that equals exactly 106.\n\nStep 1: Start with one of the numbers.\n - Let's choose 62 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 62 to reach 106 quickly. Ad... | [
false
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""
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true
] | [
"Step 1: 62 + 44 = 106"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Step 1: 62 + 44 = 106", "start_line": 81, "end_line": 81, "context": "<answer>\nStep 1: 62 + 44 = 106\n</answer>", "start_po... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 62 + 44 = 106", "final_answer": 106.0}] | [
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true,
true
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[
"62 + 44 = 106",
"\\( 62 + 44 = 106 \\)",
"Step 1: 62 + 44 = 106",
"Step 1: 62 + 44 = 106"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "62 + 44 = 106", "start_line": 20, "end_line": 20, "context": "<answer>62 + 44 = 106</ans... | [[{"is_correct": true, "error": null, "answer_block": "62 + 44 = 106", "final_answer": 106.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 62 + 44 = 106 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "Step 1: 62 + 44 = 106", "final_answer": 106.... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {19, 33} that equals 627.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we find a combination that adds up to our desired result... | [
false
] | [
""
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false
] | [
"(627 ÷ 3) - 33"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(627 \u00f7 3) - 33", "start_line": 117, "end_line": 117, "context": "Final Equation:", "start_pos": 5251, "end_pos": 5266},... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(627 \u00f7 3) - 33", "final_answer": null}] | [
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[
"19 * 33 = 627",
"\\( 19 \\times 33 = 627 \\)",
"Multiply 19 by 33: \\( 19 \\times 33 = 627 \\).",
"(627 ÷ 3) - 33"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "19 * 33 = 627", "start_line": 15, "end_line": 15, "context": "Final Answer:", "start_pos... | [[{"is_correct": true, "error": null, "answer_block": "19 * 33 = 627", "final_answer": 627.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 19 \\times 33 = 627 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate line: Multiply 19 by 33: \\( 19 \\times ... | {
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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 [59, 82], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {59, 82} which equals exactly 141.\n- Step 1: Start with one of the numbers (let's choose 59).\n- Step 2: Add another number to get close to our goal.\n- Step 3: Use multiplication if necessary to adjust towards 141.\... | [
false
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""
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true
] | [
"59 + 82 = 141"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "59 + 82 = 141", "start_line": 36, "end_line": 36, "context": "In conclusion, the answer is:", "start_pos": 1098, "end_pos": ... | [{"is_correct": true, "error": null, "answer_block": "59 + 82 = 141", "final_answer": 141.0}] | [
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true,
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[
"59 * 82 - 59",
"59 + 82 = 141",
"59 + 82 = 141"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "59 * 82 - 59", "start_line": 12, "end_line": 12, "context": "Final Equation:", "start_po... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "59 * 82 - 59", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "59 + 82 = 141", "final_answer": 141.0}, {"is_correct": true, "error": null, "answer_block": "59 + 82 = 141", "final_answer": 141.0}]] | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [16, 85], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {16, 85} which equals exactly 101.\n\nStep 1: Start with one of the numbers.\n - Let's choose 16 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 16 to reach 101 quickly. A... | [
false
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""
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false
] | [
"Addition: Step 6: 16 + 85 = 101"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Addition: Step 6: 16 + 85 = 101", "start_line": 79, "end_line": 79, "context": "Line 79, addition step leading to 101", "sta... | [{"is_correct": false, "error": "Could not evaluate line: Addition: Step 6: 16 + 85 = 101", "answer_block": "Addition: Step 6: 16 + 85 = 101", "final_answer": null}] | [
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[
"\\( 16 + 85 = 101 \\)",
"16 + 85",
"Addition: Step 6: 16 + 85 = 101"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "\\( 16 + 85 = 101 \\)", "start_line": 18, "end_line": 18, "context": "Line 18, equation ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 16 + 85 = 101 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "16 + 85", "final_answer": 101.0}, {"is_correct": false, "error": "Could not evaluate line: Addition: Step 6: 16 + 85 = 101", "answer_bloc... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [94, 38], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 94 and 38 that equals 132.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 132.\n\nHere’s one way to approach ... | [
false
] | [
""
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false
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"(94 - 38) * 2 - 8 + 8"
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[
"94 - 38 + 76",
"\\( 94 + 38 = 132 \\)",
"(94 - 38) * 2.4736...",
"(94 - 38) * 2 - 8 + 8",
"(94 - 38) * 2 - 8 + 8"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "94 - 38 + 76", "start_line": 32, "end_line": 32, "context": "Line 32: <answer>94 - 38 + ... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "94 - 38 + 76", "final_answer": 132.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 94 + 38 = 132 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate... | {
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... | 2025-09-18 |
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 ... | 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 | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {70, 83} which equals exactly 153.\n- Step 1: Start with one of the numbers (let's choose 70).\n- Step 2: Add another number to get close to our goal.\n- Step 3: Use multiplication if necessary to adjust towards 153.\... | [
false
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""
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false
] | [
"70 * 83 - 60 ÷ 3"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "70 * 83 - 60 \u00f7 3", "start_line": 61, "end_line": 61, "context": "Hence, the correct answer is:", "start_pos": 2111, "en... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "70 * 83 - 60 \u00f7 3", "final_answer": null}] | [
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[
"70 * 83 - 83",
"(70 + 83)",
"70 * 83 - 60 ÷ 3",
"70 * 83 - 60 ÷ 3"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "70 * 83 - 83", "start_line": 12, "end_line": 12, "context": "Final Equation:", "start_po... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "70 * 83 - 83", "final_answer": 153.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "70 * 83 - 60 \u00f... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {41, 93} which equals exactly 134.\n\nStep 1: Start with one of the numbers.\n - Let's choose 41 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 41 to reach 134 quickly. A... | [
false
] | [
""
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false
] | [
"(134 - 93)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 6, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(134 - 93)", "start_line": 103, "end_line": 103, "context": "<answer>\n(134 - 93)\n</answer>", "start_pos": 3936, "end_pos":... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(134 - 93)", "final_answer": 134.0}] | [
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false,
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[
"41 + 93 = 134",
"((41 + 93) * 2) - 10",
"Step 1: 134 - 41 = 93\nStep 2: 93 + 41 = 134",
"41 * 41 + 93 = 134",
"(134 - 93)",
"(134 - 93)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 6, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 6, "internal_spans_detailed": [{"answer": "41 + 93 = 134", "start_line": 20, "end_line": 20, "context": "<answer>41 + 93 = 134</ans... | [[{"is_correct": true, "error": null, "answer_block": "41 + 93 = 134", "final_answer": 134.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((41 + 93) * 2) - 10", "final_answer": 134.0}, {"is_correct": false, "error": "Line uses unavailable numbers: Step 1: 134 - 41 = 93", ... | {
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... | 2025-09-18 |
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 b... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {50, 4} that equals exactly 200. Each number must be used exactly once.\n\nStep-by-step thinking process:\n\n1. We need to find two numbers whose product will result in 200.\n - The closest products we have are \\(4... | [
false
] | [
""
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false
] | [
"((50 * 4) + ((50 * 4) - 80))"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "((50 * 4) + ((50 * 4) - 80))", "start_line": 86, "end_line": 86, "context": "Hence, the correct answer is:", "start_pos": 24... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((50 * 4) + ((50 * 4) - 80))", "final_answer": 200.0}] | [
[
true,
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false,
false
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] | [
[
"4 * 50",
"\\(50 \\times 4\\)",
"((50 * 4) + ((50 * 4) - 80))",
"((50 * 4) + ((50 * 4) - 80))"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "4 * 50", "start_line": 19, "end_line": 19, "context": "So, my answer is:", "start_pos": ... | [[{"is_correct": true, "error": null, "answer_block": "4 * 50", "final_answer": 200.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(50 \\times 4\\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((50 * 4) + ((50... | {
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"flips_total": 1,
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {15, 21} that equals 315.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nStep 1: Start with one of... | [
false
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""
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false
] | [
"\\( 15 * 21 = 315 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 15 * 21 = 315 \\)", "start_line": 66, "end_line": 66, "context": "Hence, the correct answer is:", "start_pos": 2377, "en... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 15 * 21 = 315 \\)", "final_answer": null}] | [
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false,
false,
false,
false
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] | [
[
"\\( 15 \\times 21 = 315 \\)",
"((15 + 21) / (15 + 21))",
"\\( 15 * 21 = 315 \\)",
"\\( 15 * 21 = 315 \\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "\\( 15 \\times 21 = 315 \\)", "start_line": 16, "end_line": 16, "context": "Final Answer... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 15 \\times 21 = 315 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((15 + 21) / (15 + 21))", "final_answer": 315.0}, {"is_correct": false, "error": "Could not e... | {
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... | 2025-09-18 |
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 ... | 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 | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6269, "numbers": [52, 65], "target": 117, "expression": "65 + 52"} | null | null | null | null | null | null | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {52, 65} which will result in exactly 117.\n\nStep 1: Start with one of the numbers.\n - Let's choose 52 first.\n\nStep 2: Add another number to get closer to our goal.\n - We need more than just 52 so let’s add 6... | [
false
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""
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true
] | [
"Step 1: 52 + 65 = 117"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Step 1: 52 + 65 = 117", "start_line": 53, "end_line": 53, "context": "Line 53 inside <answer> tags showing final conclusion"... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 52 + 65 = 117", "final_answer": 117.0}] | [
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true,
true
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] | [
[
"\\( 52 + 65 = 117 \\)",
"Step 1: 52 + 65 = 117",
"Step 1: 52 + 65 = 117"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "\\( 52 + 65 = 117 \\)", "start_line": 21, "end_line": 21, "context": "Line 21 inside <an... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 52 + 65 = 117 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "Step 1: 52 + 65 = 117", "final_answer": 117.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 52 + 65 = 117", "final_answe... | {
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... | 2025-09-18 |
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 ... | 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 | null | null | null | null | null | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {80, 96} that equals 176.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we arrive at our goal of creating an expression equaling... | [
false
] | [
""
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false
] | [
"(80 * 80 - 96)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(80 * 80 - 96)", "start_line": 111, "end_line": 111, "context": "<answer> (80 * 80 - 96) </answer>", "start_pos": 5932, "end... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(80 * 80 - 96)", "final_answer": 176.0}] | [
[
true,
false,
false,
false,
false
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[
"(96 + 80)",
"\\( (80 \\times 96) \\div 48 \\)",
"(Directly attempting to multiply 80 and 96 did not yield the intended result.)",
"(80 * 80 - 96)",
"(80 * 80 - 96)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "(96 + 80)", "start_line": 20, "end_line": 20, "context": "<answer> (96 + 80) </answer>",... | [[{"is_correct": true, "error": null, "answer_block": "(96 + 80)", "final_answer": 176.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (80 \\times 96) \\div 48 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(Directly... | {
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... | 2025-09-18 |
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 ... | 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 | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5820, "numbers": [98, 71], "target": 169, "expression": "98 + 71"} | null | null | null | null | null | null | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {98, 71} which will result in the sum of 169.\n\nStep 1: Add 98 and 71 together.\nStep 2: The total obtained after adding these two numbers will be our desired outcome.\n\nFinal Equation: (98 + 71)\n\nTherefore,\n<ans... | [
false
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""
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false
] | [
"98 ÷ 2 + 71 - 58"
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[
"(98 + 71)",
"\\( 98 - 71 + 27 \\)",
"98 ÷ 2 + 71 - 58",
"98 ÷ 2 + 71 - 58"
]
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {38, 94} that equals 132.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nStep 1: Start with one of... | [
false
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""
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false
] | [
"(94 - 38) * 2 + 20"
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[
"132 - (94 + 38)",
"94 + 38 = 132",
"38 + 94",
"(94 - 38) * 2 + 20"
]
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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 [4, 99], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {4, 99} that equals exactly 103.\n\nStep 1: Start with one of the numbers.\n - Let's choose 99 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 99 to make up for any shortf... | [
false
] | [
""
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false
] | [
"No valid equation found under the given constraints."
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "No valid equation found under the given constraints.", "start_line": 121, "end_line": 123, "context": "Lines 121-123, conclu... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation found under the given constraints.", "final_answer": null}] | [
[
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true,
false
]
] | [
[
"\\( (99 \\times 1) + 4 = 103 \\)",
"4 + 99",
"No valid equation found under the given constraints."
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "\\( (99 \\times 1) + 4 = 103 \\)", "start_line": 31, "end_line": 33, "context": "Lines 3... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (99 \\times 1) + 4 = 103 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "4 + 99", "final_answer": 103.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equ... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 74 and 32 that equals 106.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 106.\n\nHere’s one way to approach ... | [
false
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""
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false
] | [
"((74/32)^2) - 32"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "((74/32)^2) - 32", "start_line": 145, "end_line": 145, "context": "Final Answer:", "start_pos": 4378, "end_pos": 4412}, "tot... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "((74/32)^2) - 32", "final_answer": null}] | [
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false,
false
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[
"74 + 32",
"\\( 74 + 32 = 106 \\)",
"((74/32)^2) - 32"
]
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... | 2025-09-18 |
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 b... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {51, 8} that equals exactly 408.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we find a combination that yields our desired res... | [
false
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""
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false
] | [
"51 + 8 = 59"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "51 + 8 = 59", "start_line": 125, "end_line": 125, "context": "line 125, inside <answer> tags", "start_pos": 4551, "end_pos":... | [{"is_correct": false, "error": "Incorrect final answer", "answer_block": "51 + 8 = 59", "final_answer": 59.0}] | [
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false,
false,
false,
false
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] | [
[
"\\( 51 \\times 8 = 408 \\)",
"\\( 51 + 8 - 64 = 408 \\)",
"((51 * 51) + 8)",
"\\( 51 \\times 8 = 408 \\)",
"51 + 8 = 59"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\( 51 \\times 8 = 408 \\)", "start_line": 16, "end_line": 16, "context": "line 16, insi... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 51 \\times 8 = 408 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 51 + 8 - 64 = 408 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not e... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {63, 94} which equals exactly 157.\n- Step 1: Start with one of the numbers (let's choose 63).\n- Step 2: Add another number to get close to our goal.\n- Step 3: Use multiplication if necessary to adjust towards 157.\... | [
false
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""
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true
] | [
"63 + 94 = 157"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "63 + 94 = 157", "start_line": 40, "end_line": 41, "context": "That confirms the final answer is:", "start_pos": 1093, "end_p... | [{"is_correct": true, "error": null, "answer_block": "63 + 94 = 157", "final_answer": 157.0}] | [
[
false,
true,
true
]
] | [
[
"63 * 94 - 63",
"63 + 94 = 157",
"63 + 94 = 157"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "63 * 94 - 63", "start_line": 12, "end_line": 12, "context": "Final Equation:", "start_po... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "63 * 94 - 63", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "63 + 94 = 157", "final_answer": 157.0}, {"is_correct": true, "error": null, "answer_block": "63 + 94 = 157", "final_answer": 157.0}]] | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [47, 78], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {47, 78} which equals exactly 125. Each number must be utilized precisely once.\n\nStep-by-step thinking process:\n\n1. We need to find two numbers whose sum gives us close to but not exceeding 125.\n - The closest ... | [
false
] | [
""
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"(78 - 47) / 2 * 8 + 1"
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false,
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[
"\\( 47 + 78 = 125 \\)",
"\\( 47 + 78 = 125 \\)",
"No valid equation found.",
"(78 - 47) / 2 * 8 + 1"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "\\( 47 + 78 = 125 \\)", "start_line": 23, "end_line": 23, "context": "<answer> \\( 47 + ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 47 + 78 = 125 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 47 + 78 = 125 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression"... | {
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... | 2025-09-18 |
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 b... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {4, 98} that equals 392.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we arrive at our goal of creating an expression equaling ... | [
false
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""
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true
] | [
"98 * 4 = 392"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "98 * 4 = 392", "start_line": 95, "end_line": 96, "context": "Line 94-96: <answer> 98 * 4 = 392 </answer>", "start_pos": 4027... | [{"is_correct": true, "error": null, "answer_block": "98 * 4 = 392", "final_answer": 392.0}] | [
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[
"(98 * 4) + 70",
"\\( 98^2 - 4 \\)",
"98 * 4 = 392",
"98 * 4 = 392"
]
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 90 and 39 that equals 129.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 129.\n\nHere’s one way to approach ... | [
false
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""
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true
] | [
"Step 1: 90 + 39 = 129"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 6, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Step 1: 90 + 39 = 129", "start_line": 123, "end_line": 123, "context": "line 123 inside <answer> tags with step by step addi... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 90 + 39 = 129", "final_answer": 129.0}] | [
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"\\( 90 + 39 = 129 \\)",
"No valid equation found using the given numbers [90, 39].",
"(90/39)*39+39",
"(90 * 39) / 3 + 129",
"Step 1: 90 + 39 = 129",
"Step 1: 90 + 39 = 129"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 6, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 6, "internal_spans_detailed": [{"answer": "\\( 90 + 39 = 129 \\)", "start_line": 23, "end_line": 23, "context": "line 23 inside <an... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 90 + 39 = 129 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation found using the given numbers [90, 39].", "final_answer": null}, {"is_correct": false, "err... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {74, 60} that equals 134.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nStep 1: Start with one of... | [
false
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""
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true
] | [
"(74 + 60)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(74 + 60)", "start_line": 38, "end_line": 38, "context": "Hence, the correct answer is:", "start_pos": 932, "end_pos": 942},... | [{"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}] | [
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true,
true,
true
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] | [
[
"74 + 60 = 134",
"(74 + 60)",
"(74 + 60)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "74 + 60 = 134", "start_line": 15, "end_line": 15, "context": "Final Equation:", "start_p... | [[{"is_correct": true, "error": null, "answer_block": "74 + 60 = 134", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(74 + 60)", "final_answer": 134.0}]] | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {47, 14} that equals 658.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we arrive at our goal of creating an expression equaling... | [
false
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""
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true
] | [
"Step 1: 14 * 47 = 658"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Step 1: 14 * 47 = 658", "start_line": 112, "end_line": 112, "context": "Alternatively,", "start_pos": 4602, "end_pos": 4624}... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 14 * 47 = 658", "final_answer": 658.0}] | [
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[
"Step 1: 47 + 14 = 61\nStep 2: 14 * 14 = 196\nStep 3: 61 + 196 = 257\nStep 4: 658 ÷ 14 ≈ 47\nStep 5: 47 * 14 = 658",
"No valid combination found within the constraints provided.",
"Step 1: 47 * 14 = 658",
"Step 1: 14 * 47 = 658"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "Step 1: 47 + 14 = 61\nStep 2: 14 * 14 = 196\nStep 3: 61 + 196 = 257\nStep 4: 658 \u00f7 ... | [[{"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 14 * 14 = 196", "answer_block": "Step 1: 47 + 14 = 61\nStep 2: 14 * 14 = 196\nStep 3: 61 + 196 = 257\nStep 4: 658 \u00f7 14 \u2248 47\nStep 5: 47 * 14 = 658", "final_answer": 196.0}, {"is_correct": false, "error": "Could not evaluate expression", ... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {16, 37} that equals exactly 592.\n\nStep 1: Start with one of the numbers.\n - Let's choose 16 first.\n\nStep 2: Multiply the chosen number by another number from the set.\n - We need to multiply 16 by 37 because... | [
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false
] | [
"(37 * 16) / 37 = 592"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(37 * 16) / 37 = 592", "start_line": 87, "end_line": 88, "context": "Lines 87-88: <answer> (37 * 16) / 37 = 592 </answer>", ... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(37 * 16) / 37 = 592", "final_answer": 592.0}] | [
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false,
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[
"\\( 16 \\times 37 \\)",
"\\( 16 + 37 = 53 \\\\\n53 * 11 = 583 \\\\\n583 - 9 = 592 \\)",
"(37 * 16) / 37 = 592",
"(37 * 16) / 37 = 592"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "\\( 16 \\times 37 \\)", "start_line": 20, "end_line": 20, "context": "Line 20: <answer> ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 16 \\times 37 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 16 + 37 = 53 \\\\\n53 * 11 = 583 \\\\\n583 - 9 = 592 \\)", "final_answer": null}, {"is_correct": false, "... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {42, 88} which equals exactly 130.\n- Step 1: Start with one of the numbers (let's choose 42).\n- Step 2: Add another number to get close to our goal.\n- Step 3: Use multiplication if necessary to adjust towards 130.\... | [
false
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""
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true
] | [
"42 + 88 = 130"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "42 + 88 = 130", "start_line": 35, "end_line": 36, "context": "In conclusion, the answer is:", "start_pos": 975, "end_pos": 9... | [{"is_correct": true, "error": null, "answer_block": "42 + 88 = 130", "final_answer": 130.0}] | [
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true,
true
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[
"42 * 88 - 42",
"42 + 88 = 130",
"42 + 88 = 130"
]
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... | 2025-09-18 |
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 b... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {14, 8} that equals exactly 112.\n\nStep 1: Multiply 14 by 8.\nStep 2: Add the result from Step 1 to itself one more time.\nStep 3: Divide the sum obtained in Step 2 by 2.\n\nFinal Equation: (14 * 8) + ((14 * 8) / 2)\... | [
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""
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true
] | [
"14 * 8 = 112"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "14 * 8 = 112", "start_line": 90, "end_line": 90, "context": "lines 89-91, fourth <answer> block", "start_pos": 2750, "end_po... | [{"is_correct": true, "error": null, "answer_block": "14 * 8 = 112", "final_answer": 112.0}] | [
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"((14 * 8) + ((14 * 8) / 2))",
"\\( 14 \\times 8 = 112 \\)",
"14 * 8 = 112",
"14 * 8 = 112"
]
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 75 and 56 that equals 131.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 131.\n\nHere’s one way to approach ... | [
false
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""
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true
] | [
"75 + 56 = 131"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "75 + 56 = 131", "start_line": 85, "end_line": 85, "context": "<answer>\n75 + 56 = 131", "start_pos": 3218, "end_pos": 3232},... | [{"is_correct": true, "error": null, "answer_block": "75 + 56 = 131", "final_answer": 131.0}] | [
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"\\( 75 + 56 = 131 \\)",
"(75 * 56 - 131) * 2 + 131",
"75 + 56 = 131",
"75 + 56 = 131"
]
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {17, 34} which will result in the target value of 578.\n\nStep 1: Multiply 17 by 34.\nStep 2: Add the product obtained in Step 1 to itself.\nStep 3: Divide the sum from Step 2 by 2.\n\nFinal Equation: (17 * 34 + 17 * ... | [
false
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""
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false
] | [
"((17 * 34) - (17 - 17)) / 2"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "((17 * 34) - (17 - 17)) / 2", "start_line": 92, "end_line": 92, "context": "<answer>", "start_pos": 3420, "end_pos": 3448}, ... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((17 * 34) - (17 - 17)) / 2", "final_answer": 578.0}] | [
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"((17 * 34) + (17 * 34)) / 2",
"\\( 34 \\times 17 = 578 \\)",
"(17 * 34) = 578",
"((17 * 34) - (17 - 17)) / 2"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "((17 * 34) + (17 * 34)) / 2", "start_line": 15, "end_line": 15, "context": "Therefore, t... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "((17 * 34) + (17 * 34)) / 2", "final_answer": 578.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 34 \\times 17 = 578 \\)", "final_answer": null}, {"is_correct": true, "error":... | {
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... | 2025-09-18 |
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 b... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {6, 25} that equals exactly 150. Each number must be used exactly once.\n\nStep-by-step thinking process:\n\n1. We need to find two numbers whose product will result in 150.\n - The closest products we get when mult... | [
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""
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false
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"((6 * 25) / 6) + ((6 * 25) % 6)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "((6 * 25) / 6) + ((6 * 25) % 6)", "start_line": 87, "end_line": 87, "context": "In conclusion, the answer is:", "start_pos":... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "((6 * 25) / 6) + ((6 * 25) % 6)", "final_answer": null}] | [
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[
"\\(6 \\times 25 = 150\\)",
"(6 * 25)",
"(6 + 25 - 89) * 1 + 150",
"((6 * 25) / 6) + ((6 * 25) % 6)",
"((6 * 25) / 6) + ((6 * 25) % 6)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\(6 \\times 25 = 150\\)", "start_line": 18, "end_line": 18, "context": "Final Answer:",... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(6 \\times 25 = 150\\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(6 * 25)", "final_answer": 150.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(6 + 25 ... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 97 and 58 that equals 155.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 155.\n\nHere’s one way to approach ... | [
false
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""
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false
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"(97 / 97 * 58) + 0 + 1"
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[
"(97 + 58)",
"\\(97 + 58 = 155\\)",
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"(97 / 97 * 58) + 0 + 1"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "(97 + 58)", "start_line": 28, "end_line": 29, "context": "lines 27-29, first <answer> bl... | [[{"is_correct": true, "error": null, "answer_block": "(97 + 58)", "final_answer": 155.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(97 + 58 = 155\\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(97 / 97 * 5... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [78, 32], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 78 and 32 that equals 110.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 110.\n\nHere’s one way to approach ... | [
false
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""
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false
] | [
"(78 - 32) * (46/46)"
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false,
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[
"(78 - 32) + 20",
"\\( 78 + 32 \\)",
"(78 - 32) * (46/46)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "(78 - 32) + 20", "start_line": 24, "end_line": 24, "context": "<answer> (78 - 32) + 20 <... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(78 - 32) + 20", "final_answer": 110.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 78 + 32 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal stated... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [78, 51], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {78, 51} which equals exactly 129.\n\nStep 1: Start with one of the numbers.\n - Let's choose 78 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 78 to reach 129 quickly. A... | [
false
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""
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false
] | [
"(78 + 51) - 1 = 129"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(78 + 51) - 1 = 129", "start_line": 135, "end_line": 135, "context": "Hence, the correct answer is:", "start_pos": 4219, "en... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(78 + 51) - 1 = 129", "final_answer": 129.0}] | [
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[
"78 + 51 = 129",
"No valid single equation found using standard arithmetic operations on the given numbers.",
"(78 * 78) - 51 / ((78 * 78) - 51)",
"(78 + 51) - 1 = 129"
]
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 67 and 71 that equals 138.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 138.\n\nHere’s one way to approach ... | [
false
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""
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true
] | [
"67 + 71"
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false,
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[
"((67 + 71) - 40)",
"67 + 71",
"67 + 71"
]
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {87, 71} which will result in exactly 158 when evaluated.\n\nStep 1: Start with one of the numbers.\nStep 2: Add another number to get closer to our goal.\nStep 3: Use multiplication if necessary to adjust towards 158... | [
false
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""
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true
] | [
"87 + 71 = 158"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "87 + 71 = 158", "start_line": 95, "end_line": 95, "context": "In conclusion, the answer is:", "start_pos": 4090, "end_pos": ... | [{"is_correct": true, "error": null, "answer_block": "87 + 71 = 158", "final_answer": 158.0}] | [
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false,
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true
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[
"(87 * 71 - 87)",
"\\( 87 \\times 71 - 158 \\)",
"87 + 71 = 158",
"87 + 71 = 158"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "(87 * 71 - 87)", "start_line": 16, "end_line": 16, "context": "Final Equation: (87 * 71 ... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(87 * 71 - 87)", "final_answer": 158.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 87 \\times 71 - 158 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": ... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {50, 18} that equals exactly 900.\nThink carefully about how these two numbers interact through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nStep 1: Start with one of the... | [
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""
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true
] | [
"Step 1: 50 * 18 = 900"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Step 1: 50 * 18 = 900", "start_line": 94, "end_line": 94, "context": "line 94 inside <answer> tags", "start_pos": 3614, "end... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 50 * 18 = 900", "final_answer": 900.0}] | [
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[
"\\( 50 \\times 18 = 900 \\)",
"\\( (2 * 5^2) * (2 * 3^2) \\)",
"Step 1: 50 * 18 = 900",
"Step 1: 50 * 18 = 900"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "\\( 50 \\times 18 = 900 \\)", "start_line": 19, "end_line": 19, "context": "line 19 insi... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 50 \\times 18 = 900 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (2 * 5^2) * (2 * 3^2) \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_bloc... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {33, 72} which equals exactly 105.\n- Step 1: Start with one of the numbers (let's choose 33).\n- Step 2: Add another number to get close to our goal.\n- Step 3: Use multiplication if necessary to adjust towards 105.\... | [
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""
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false
] | [
"(72 - 33) * 3 - 12"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(72 - 33) * 3 - 12", "start_line": 68, "end_line": 68, "context": "That confirms the final answer is:", "start_pos": 3342, "... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(72 - 33) * 3 - 12", "final_answer": 105.0}] | [
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[
"33 * 3 + 72 - 6",
"(33 + 72)",
"None found suitable within standard arithmetic operations.",
"(72 - 33) * 3 - 12",
"(72 - 33) * 3 - 12"
]
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... | 2025-09-18 |
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 ... | 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 | null | null | null | null | null | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {81, 49} that equals exactly 130. Each number must be used exactly once.\n\nStep 1: Start with one of the numbers.\nStep 2: Use another number along with any combination of addition, subtraction, multiplication, or di... | [
false
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""
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true
] | [
"81 + 49 = 130"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "81 + 49 = 130", "start_line": 79, "end_line": 79, "context": "<answer> 81 + 49 = 130 </answer>", "start_pos": 2828, "end_pos... | [{"is_correct": true, "error": null, "answer_block": "81 + 49 = 130", "final_answer": 130.0}] | [
[
false,
true,
false,
true,
true
]
] | [
[
"(81 - 49) * 2",
"(81 + 49)",
"\\( (81 - 49) \\times 3 + 7 = 130 \\)",
"81 + 49 = 130",
"81 + 49 = 130"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "(81 - 49) * 2", "start_line": 16, "end_line": 16, "context": "<answer> (81 - 49) * 2 </a... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(81 - 49) * 2", "final_answer": 130.0}, {"is_correct": true, "error": null, "answer_block": "(81 + 49)", "final_answer": 130.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (81 - 49) \\t... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {34, 69} which equals exactly 103.\n\nStep 1: Start with one of the numbers.\n - Let's choose 34 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 34 to reach 103 quickly. A... | [
false
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""
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true
] | [
"34 + 69"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "34 + 69", "start_line": 127, "end_line": 128, "context": "<answer> 34 + 69 </answer>", "start_pos": 4539, "end_pos": 4556}, ... | [{"is_correct": true, "error": null, "answer_block": "34 + 69", "final_answer": 103.0}] | [
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false,
false,
false,
true,
true
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] | [
[
"\\( 34 + 69 = 103 \\)",
"(34 + 69) * 1",
"\\( 34 + 69 = 103 \\)",
"34 + 69",
"34 + 69"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\( 34 + 69 = 103 \\)", "start_line": 21, "end_line": 22, "context": "<answer> \\( 34 + ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 34 + 69 = 103 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(34 + 69) * 1", "final_answer": 103.0}, {"is_correct": false, "error": "Could not evaluat... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {41, 59} which equals exactly 100. Each number must be utilized precisely once.\n\nStep-by-step thinking process:\n\n1. We need to find two numbers whose sum gives us 100.\n - The largest possible combination would ... | [
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""
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true
] | [
"41 + 59 = 100"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "41 + 59 = 100", "start_line": 71, "end_line": 71, "context": "line 71 with final answer in <answer> tags", "start_pos": 2415... | [{"is_correct": true, "error": null, "answer_block": "41 + 59 = 100", "final_answer": 100.0}] | [
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false,
true
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] | [
[
"\\( 59 - 41 + 89 = 107 \\)",
"41 + 59 = 100"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 2, "internal_spans_detailed": [{"answer": "\\( 59 - 41 + 89 = 107 \\)", "start_line": 48, "end_line": 48, "context": "line 48 with ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 59 - 41 + 89 = 107 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "41 + 59 = 100", "final_answer": 100.0}]] | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 91 and 13 that equals 104.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 104.\n\nHere’s one way to approach ... | [
false
] | [
""
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true
] | [
"91 + 13 = 104"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "91 + 13 = 104", "start_line": 45, "end_line": 46, "context": "lines 45-46 with <answer> tags", "start_pos": 1198, "end_pos":... | [{"is_correct": true, "error": null, "answer_block": "91 + 13 = 104", "final_answer": 104.0}] | [
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"91 + 13 = 104",
"91 + 13 = 104",
"91 + 13 = 104"
]
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {16, 20} that equals exactly 320. Each number must be used exactly once.\n\nStep-by-step thinking process:\n\n1. We need to find two numbers whose product will result in 320.\n - The factors of 320 are: 1, 2, 4, 5, ... | [
false
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""
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false
] | [
"(16 + 16) * 20 / 2"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(16 + 16) * 20 / 2", "start_line": 96, "end_line": 96, "context": "Line 95-97: <answer> (16 + 16) * 20 / 2 </answer>", "star... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(16 + 16) * 20 / 2", "final_answer": 320.0}] | [
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true,
false,
false,
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false
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[
"(16 * 20)",
"\\( 16 \\div 2 \\times 20 + 16 \\)",
"(20 ÷ 2) × 32 = 320",
"(16 + 16) * 20 / 2",
"(16 + 16) * 20 / 2"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "(16 * 20)", "start_line": 21, "end_line": 21, "context": "Line 20-22: <answer> (16 * 20)... | [[{"is_correct": true, "error": null, "answer_block": "(16 * 20)", "final_answer": 320.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 16 \\div 2 \\times 20 + 16 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(20 \u0... | {
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"flips_total": 1,
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {11, 38} that equals 418.\n\nStep 1: Start with one of the numbers.\n - Let's choose 38 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 38 to reach 418 quickly. Adding 10 ... | [
false
] | [
""
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true
] | [
"(38 * 11)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(38 * 11)", "start_line": 88, "end_line": 88, "context": "Hence, the correct answer is:", "start_pos": 2224, "end_pos": 2234... | [{"is_correct": true, "error": null, "answer_block": "(38 * 11)", "final_answer": 418.0}] | [
[
false,
false,
true,
true
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] | [
[
"38 * 10 + 38",
"\\( 11 * 38 + 11 \\)",
"(38 * 11)",
"(38 * 11)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "38 * 10 + 38", "start_line": 26, "end_line": 26, "context": "Therefore, the equation tha... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "38 * 10 + 38", "final_answer": 418.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 11 * 38 + 11 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block":... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 95 and 38 that equals 133.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 133.\n\nHere’s one way to approach ... | [
false
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""
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false
] | [
"Step 1: 95 - 38 = 57\nStep 2: 57 * 2 = 114\nStep 3: 114 + 19 = 133"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Step 1: 95 - 38 = 57\nStep 2: 57 * 2 = 114\nStep 3: 114 + 19 = 133", "start_line": 101, "end_line": 105, "context": "Based o... | [{"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 57 * 2 = 114", "answer_block": "Step 1: 95 - 38 = 57\nStep 2: 57 * 2 = 114\nStep 3: 114 + 19 = 133", "final_answer": 114.0}] | [
[
false,
false,
false
]
] | [
[
"95 - 38 + 38 = 133",
"\\( 95 - 38 = 57 \\\\ 57 + 38 = 95 \\\\ 95 \\times 2 = 190 \\\\ 190 + 19 = 133 \\)",
"Step 1: 95 - 38 = 57\nStep 2: 57 * 2 = 114\nStep 3: 114 + 19 = 133"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "95 - 38 + 38 = 133", "start_line": 25, "end_line": 25, "context": "Final Equation:", "st... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "95 - 38 + 38 = 133", "final_answer": 133.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 95 - 38 = 57 \\\\ 57 + 38 = 95 \\\\ 95 \\times 2 = 190 \\\\ 190 + 19 = 133 \\)", "final_answer": ... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 66 and 62 exactly once such that the result is 128.\n\nStep 1: Start with the given numbers.\n Numbers available: 66, 62\n\nStep 2: We need to find a combination of these numbers that adds up to get close to 128 but not exceeding it.\... | [
false
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""
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false
] | [
"(66 * 62) + 12"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(66 * 62) + 12", "start_line": 115, "end_line": 116, "context": "In conclusion, the answer is:", "start_pos": 3602, "end_pos... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(66 * 62) + 12", "final_answer": 128.0}] | [
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false,
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[
"66 + 62 = 128",
"Addition: \\( 66 + 62 = 128 \\)",
"66 - 62 + 62 = 128",
"(66 * 62) + 12",
"(66 * 62) + 12"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "66 + 62 = 128", "start_line": 16, "end_line": 16, "context": "Therefore, the equation th... | [[{"is_correct": true, "error": null, "answer_block": "66 + 62 = 128", "final_answer": 128.0}, {"is_correct": false, "error": "Could not evaluate line: Addition: \\( 66 + 62 = 128 \\)", "answer_block": "Addition: \\( 66 + 62 = 128 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal st... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {18, 29} that equals exactly 522. Each number must be used exactly once.\n\nStep 1: Start with one of the numbers.\nStep 2: Use another number to combine with the first result to get closer to 522.\nStep 3: Continue c... | [
false
] | [
""
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true
] | [
"18 * 29 = 522"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "18 * 29 = 522", "start_line": 93, "end_line": 93, "context": "Line 92-94: <answer> 18 * 29 = 522 </answer>", "start_pos": 25... | [{"is_correct": true, "error": null, "answer_block": "18 * 29 = 522", "final_answer": 522.0}] | [
[
true,
false,
true,
true
]
] | [
[
"(18 * 29)",
"\\( (18 + 29) + 11 - 6 + 10 + 2 = 522 \\)",
"18 * 29 = 522",
"18 * 29 = 522"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "(18 * 29)", "start_line": 14, "end_line": 14, "context": "Line 13-15: <answer> (18 * 29)... | [[{"is_correct": true, "error": null, "answer_block": "(18 * 29)", "final_answer": 522.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (18 + 29) + 11 - 6 + 10 + 2 = 522 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "18 * 29 = 522", "final_answe... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [37, 11], create an equation that equals 407. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {37, 11} that equals exactly 407.\n\nStep 1: Start with one of the numbers.\n - Let's choose 37 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 37 to reach 407 quickly. Ad... | [
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] | [
""
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true
] | [
"37 * 11"
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[
"\\( 37 \\times 11 = 407 \\)",
"\\( 37 \\times 11 = 407 \\)",
"37 * 11"
]
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {17, 21} that equals 357.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we arrive at our goal of creating an expression equaling... | [
false
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""
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] | [
"17 * 21 = 357"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "17 * 21 = 357", "start_line": 91, "end_line": 91, "context": "Line 91, final answer in conclusion", "start_pos": 3701, "end_... | [{"is_correct": true, "error": null, "answer_block": "17 * 21 = 357", "final_answer": 357.0}] | [
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false,
false,
true,
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[
"\\( (17 + 21)/3 \\)",
"\\( 17 \\times 21 = 357 \\)",
"17 * 21 = 357",
"17 * 21 = 357"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "\\( (17 + 21)/3 \\)", "start_line": 37, "end_line": 37, "context": "Line 37, final answe... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (17 + 21)/3 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 17 \\times 21 = 357 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "17 * ... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {94, 10} such that when evaluated, it yields exactly 940.\n\nStep-by-step thinking:\n\n1. We need to multiply one of the numbers (either 94 or 10) by itself.\n - Multiplying any number by itself will result in its s... | [
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""
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false
] | [
"10 * 10 * 10 + 94"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "10 * 10 * 10 + 94", "start_line": 117, "end_line": 118, "context": "In conclusion, the answer is:", "start_pos": 4286, "end_... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "10 * 10 * 10 + 94", "final_answer": 940.0}] | [
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false,
false,
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[
"None of the above options meet the criteria.",
"\\( 94 * 10 = 940 \\)",
"(94 * 10) - 84",
"10 * 10 * 10 + 94",
"10 * 10 * 10 + 94"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "None of the above options meet the criteria.", "start_line": 42, "end_line": 42, "contex... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "None of the above options meet the criteria.", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 94 * 10 = 940 \\)", "final_answer": null}, {"is_correct": false, "error": "Express... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {65, 60} which will result in exactly 125 when evaluated.\n\nStep 1: Start with one of the numbers.\n - Let's choose 65 first.\n\nStep 2: Multiply the chosen number by another number from the set.\n - We need to m... | [
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""
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true
] | [
"(65 + 60)"
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true,
true
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] | [
[
"\\( 65 \\times 60 = 125 \\)",
"(65 + 60)",
"(65 + 60)"
]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [89, 19], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | null | null | null | null | null | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {89, 19} that equals exactly 108. Each number must be used exactly once.\n\nStep-by-step thinking:\n\n1. We need to find two numbers whose sum gives us close to but not exceeding 108.\n2. The closest combination would... | [
false
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""
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false
] | [
"Multiply 89 by 19 first, then divide by something else until reaching 108."
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Multiply 89 by 19 first, then divide by something else until reaching 108.", "start_line": 45, "end_line": 45, "context": "F... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Multiply 89 by 19 first, then divide by something else until reaching 108.", "final_answer": null}] | [
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false,
false
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] | [
[
"(89 - 19) * 5",
"Multiply 89 by 19 first, then divide by something else until reaching 108."
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 2, "internal_spans_detailed": [{"answer": "(89 - 19) * 5", "start_line": 15, "end_line": 15, "context": "Final Equation:", "start_p... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(89 - 19) * 5", "final_answer": 108.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Multiply 89 by 19 first, then divide by something else until reaching 108.", "final_answer": null}]] | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {52, 79} which equals exactly 131.\n- Step 1: Start with one of the numbers (let's choose 52).\n- Step 2: Add another number to get close to our goal.\n- Step 3: Use multiplication if necessary to adjust towards 131.\... | [
false
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""
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false
] | [
"(52 * 52 - 79) / 52 + 50 - 2444"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(52 * 52 - 79) / 52 + 50 - 2444", "start_line": 56, "end_line": 56, "context": "Therefore, the final equation is:", "start_p... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(52 * 52 - 79) / 52 + 50 - 2444", "final_answer": 131.0}] | [
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false,
false,
false
]
] | [
[
"52 * 79 - 52",
"\\( 52 + 79 = 131 \\)",
"(52 * 52 - 79) / 52 + 50 - 2444"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "52 * 79 - 52", "start_line": 12, "end_line": 12, "context": "Final Equation:", "start_po... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "52 * 79 - 52", "final_answer": 131.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 52 + 79 = 131 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal st... | {
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... | 2025-09-18 |
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 ... | 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 | null | null | null | null | null | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 93 and 66 that equals 159.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 159.\n\nHere’s one way to approach ... | [
false
] | [
""
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false
] | [
"((93 + (66/2)) * 2) - 66\n(((66 - 93)/2) * 3)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "((93 + (66/2)) * 2) - 66\n(((66 - 93)/2) * 3)", "start_line": 111, "end_line": 112, "context": "<answer> ((93 + (66/2)) * 2)... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "((93 + (66/2)) * 2) - 66\n(((66 - 93)/2) * 3)", "final_answer": null}] | [
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false,
false,
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[
"(93 + 66 - 0)",
"\\( 93 + 66 \\)",
"(93 * 66) / 4 - ((93 * 66) / 4 - 159)",
"((93 + (66/2)) * 2) - 66\n(((66 - 93)/2) * 3)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "(93 + 66 - 0)", "start_line": 19, "end_line": 19, "context": "<answer> (93 + 66 - 0) </a... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(93 + 66 - 0)", "final_answer": 159.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 93 + 66 \\)", "final_answer": null}, {"is_correct": false, "error": "Expression uses an unav... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [89, 87], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {89, 87} which will result in exactly 176 when evaluated.\n\nStep 1: Start with one of the numbers.\n - Let's choose 89 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 89 ... | [
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""
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true
] | [
"89 + 87 = 176"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "89 + 87 = 176", "start_line": 43, "end_line": 43, "context": "Line 43: 89 + 87 = 176", "start_pos": 1018, "end_pos": 1032}, ... | [{"is_correct": true, "error": null, "answer_block": "89 + 87 = 176", "final_answer": 176.0}] | [
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[
"(89 + 87) - 87",
"89 + 87 = 176",
"89 + 87 = 176"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "(89 + 87) - 87", "start_line": 21, "end_line": 21, "context": "Line 21: (89 + 87) - 87",... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(89 + 87) - 87", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "89 + 87 = 176", "final_answer": 176.0}, {"is_correct": true, "error": null, "answer_block": "89 + 87 = 176", "final_answer": 176.0}]] | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {73, 62} which equals exactly 135.\n\nStep 1: Start with one of the numbers.\n - Let's choose 73 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 73 to reach 135 quickly. A... | [
false
] | [
""
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true
] | [
"73 + 62 = 135"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "73 + 62 = 135", "start_line": 103, "end_line": 103, "context": "That confirms the final answer is:", "start_pos": 4532, "end... | [{"is_correct": true, "error": null, "answer_block": "73 + 62 = 135", "final_answer": 135.0}] | [
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[
"73 + 62 = 135",
"No valid equation found meeting all criteria.",
"73 + 62 = 135",
"73 + 62 = 135"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 4, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 4, "internal_spans_detailed": [{"answer": "73 + 62 = 135", "start_line": 17, "end_line": 17, "context": "Therefore, the complete eq... | [[{"is_correct": true, "error": null, "answer_block": "73 + 62 = 135", "final_answer": 135.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation found meeting all criteria.", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "73 + 62 = 135", "fin... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 17 and 20 that equals 340.\nThink carefully about how these two numbers can interact through addition, subtraction, multiplication, division, etc., to achieve the desired result.\n\nStep 1: Start with one of the given numbers (either 17... | [
false
] | [
""
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false
] | [
"(17 + 20) * 20 = 340"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(17 + 20) * 20 = 340", "start_line": 116, "end_line": 116, "context": "line 116, equation inside <answer> tags", "start_pos"... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(17 + 20) * 20 = 340", "final_answer": 340.0}] | [
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true,
false,
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[
"\\( 17 \\times 2 + 20 - 16 + 17 \\)",
"(17 * 20)",
"(340 \\u00f7 17) * 20",
"(17 + 20) * 20 = 340",
"(17 + 20) * 20 = 340"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\( 17 \\times 2 + 20 - 16 + 17 \\)", "start_line": 29, "end_line": 29, "context": "line... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 17 \\times 2 + 20 - 16 + 17 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(17 * 20)", "final_answer": 340.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(340 \... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {14, 96} that equals exactly 110. Each number must be used exactly once.\n\nStep 1: Start with one of the numbers.\nStep 2: Use another number to combine with the first result to get closer to 110.\nStep 3: Continue c... | [
false
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""
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false
] | [
"((96 * 14) - 14) - 14"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "((96 * 14) - 14) - 14", "start_line": 143, "end_line": 143, "context": "line 143, inside <answer> tags", "start_pos": 5416, ... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((96 * 14) - 14) - 14", "final_answer": 110.0}] | [
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false,
false,
false,
false,
false
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] | [
[
"(14 * 8) + 96 - 7",
"\\(14 + 96\\)",
"14 * 96 - 124 = 110",
"\\( 96 \\times 14 - 14 + 14 = 110 \\)",
"((96 * 14) - 14) - 14"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "(14 * 8) + 96 - 7", "start_line": 21, "end_line": 21, "context": "line 21, inside <answe... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(14 * 8) + 96 - 7", "final_answer": 110.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(14 + 96\\)", "final_answer": null}, {"is_correct": false, "error": "Expression does not equal state... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers 65 and 52 that equals 117.\nThink carefully about how these two numbers can combine through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 117.\n\nHere’s one way to approach ... | [
false
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""
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true
] | [
"65 + 52 = 117"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "65 + 52 = 117", "start_line": 173, "end_line": 174, "context": "Hence, the correct answer is:", "start_pos": 5766, "end_pos"... | [{"is_correct": true, "error": null, "answer_block": "65 + 52 = 117", "final_answer": 117.0}] | [
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false,
false,
true,
true
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] | [
[
"((65 - 52) * 52) + 85",
"\\( (65 + 52) \\)",
"Step 1: Multiply 65 by 52.\nStep 2: Adjust resulting product to match 117.",
"65 + 52 = 117",
"65 + 52 = 117"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "((65 - 52) * 52) + 85", "start_line": 61, "end_line": 61, "context": "final equation lea... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((65 - 52) * 52) + 85", "final_answer": 117.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (65 + 52) \\)", "final_answer": null}, {"is_correct": false, "error": "Error evaluating final ... | {
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... | 2025-09-18 |
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 b... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {3, 87} which will result in the value 261.\n\nStep 1: Start with one of the numbers.\n - Let's choose 87 first.\n\nStep 2: Multiply the chosen number by another number from the set.\n - We need to multiply 87 by ... | [
false
] | [
""
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true
] | [
"Step 1: 3 * 87 = 261"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Step 1: 3 * 87 = 261", "start_line": 45, "end_line": 45, "context": "Line 45: <answer> Step 1: 3 * 87 = 261 </answer>", "sta... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 3 * 87 = 261", "final_answer": 261.0}] | [
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true
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"87 * 87",
"Step 1: 3 * 87 = 261",
"Step 1: 3 * 87 = 261"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "87 * 87", "start_line": 20, "end_line": 20, "context": "Line 20: <answer>87 * 87</answer... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "87 * 87", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 3 * 87 = 261", "final_answer": 261.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 3 * 87 = 261", "final_answer": 2... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {70, 64} which will result in exactly 134 when evaluated.\n\nStep 1: Start with one of the numbers.\nStep 2: Add another number to get closer to our goal.\nStep 3: Use multiplication if necessary to adjust the sum.\nS... | [
false
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false
] | [
"(70 * 64) - 4346"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(70 * 64) - 4346", "start_line": 79, "end_line": 79, "context": "line 78-80, fifth <answer> span", "start_pos": 2422, "end_p... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(70 * 64) - 4346", "final_answer": 134.0}] | [
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[
"(70 - 64) * 2",
"(70 + 64)",
"Step 1: 70 - 64 = 6\nStep 2: 6 + 68 = 74\nStep 3: 74 * 2 = 148\nStep 4: 148 - 14 = 134",
"(70 * 64) - 4346",
"(70 * 64) - 4346"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "(70 - 64) * 2", "start_line": 17, "end_line": 17, "context": "line 16-18, first <answer>... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(70 - 64) * 2", "final_answer": 134.0}, {"is_correct": true, "error": null, "answer_block": "(70 + 64)", "final_answer": 134.0}, {"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 6 + 68 = 74", "answer_block... | {
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... | 2025-09-18 |
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 b... | 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 | null | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {7, 90} that equals exactly 630.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nStep 1: Start with... | [
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""
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true
] | [
"7 * 90 = 630"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 6, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "7 * 90 = 630", "start_line": 153, "end_line": 153, "context": "line 153 inside <answer> tags showing the multiplication 7 * ... | [{"is_correct": true, "error": null, "answer_block": "7 * 90 = 630", "final_answer": 630.0}] | [
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[
"\\( 90 \\times 7 = 630 \\)",
"\\( 90 - 7 = 83 \\\\ \n97 + 83 = 180 \\\\ \n180 / 3 = 60 \\\\ \n60 - 3 = 57 \\\\ \n57 + 57 = 114 \\)",
"((7*7*7)+90)/90",
"((90 * 7) - ((90 * 7) - 7))",
"7 * 90 = 630",
"7 * 90 = 630"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 6, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 6, "internal_spans_detailed": [{"answer": "\\( 90 \\times 7 = 630 \\)", "start_line": 19, "end_line": 19, "context": "line 19 insid... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 90 \\times 7 = 630 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 90 - 7 = 83 \\\\ \n97 + 83 = 180 \\\\ \n180 / 3 = 60 \\\\ \n60 - 3 = 57 \\\\ \n57 + 57 = 114 \\)", "... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {19, 44} that equals 836.\nThink carefully about how these numbers interact with each other through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nStep 1: Start by consider... | [
false
] | [
""
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true
] | [
"44 * 19 = 836"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "44 * 19 = 836", "start_line": 137, "end_line": 138, "context": "Hence, the correct answer is:", "start_pos": 4899, "end_pos"... | [{"is_correct": true, "error": null, "answer_block": "44 * 19 = 836", "final_answer": 836.0}] | [
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true,
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true,
true
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] | [
[
"\\( 44 \\times 19 = 836 \\)",
"Step 1: 44 * 19 = 836",
"Multiply 19 by 44 first,\nthen add 0 more times to match exactly 836.",
"44 * 19 = 836",
"44 * 19 = 836"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "\\( 44 \\times 19 = 836 \\)", "start_line": 25, "end_line": 26, "context": "Final Equati... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 44 \\times 19 = 836 \\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "Step 1: 44 * 19 = 836", "final_answer": 836.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Mu... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {61, 97} that equals exactly 158. Each number must be used exactly once.\n\nStep-by-step thinking:\n\n1. We need to find two numbers whose sum gives us close to but not exceeding 158.\n2. The closest combination would... | [
false
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""
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false
] | [
"(61 * 97) = 5907"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(61 * 97) = 5907", "start_line": 84, "end_line": 84, "context": "In conclusion, the answer is:", "start_pos": 3055, "end_pos... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(61 * 97) = 5907", "final_answer": 5907.0}] | [
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false,
false,
false,
false,
false
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[
"(97 - 41) * 2 = 158",
"(61 + 97) - 61",
"(97 * 2) + 61",
"(61 * 97) = 5907",
"(61 * 97) = 5907"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "(97 - 41) * 2 = 158", "start_line": 16, "end_line": 16, "context": "Final Equation:", "s... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(97 - 41) * 2 = 158", "final_answer": 158.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(61 + 97) - 61", "final_answer": 158.0}, {"is_correct": false, "error": "Expression does n... | {
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... | 2025-09-18 |
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 ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {79, 92} which equals exactly 171.\n- Step 1: Start with one of the numbers (let's choose 79).\n- Step 2: Add another number to get close to our goal.\n- Step 3: Use multiplication if necessary to adjust towards 171.\... | [
false
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""
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true
] | [
"79 + 92"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "79 + 92", "start_line": 37, "end_line": 37, "context": "In conclusion, the answer is:", "start_pos": 1023, "end_pos": 1031},... | [{"is_correct": true, "error": null, "answer_block": "79 + 92", "final_answer": 171.0}] | [
[
false,
true,
true
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] | [
[
"79 * 92 - 80",
"79 + 92",
"79 + 92"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "79 * 92 - 80", "start_line": 12, "end_line": 12, "context": "Final Equation:", "start_po... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "79 * 92 - 80", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "79 + 92", "final_answer": 171.0}, {"is_correct": true, "error": null, "answer_block": "79 + 92", "final_answer": 171.0}]] | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [14, 21], create an equation that equals 294. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {14, 21} that equals exactly 294.\nThink carefully about how these two numbers interact through addition, subtraction, multiplication, division, etc., until we arrive at our goal of 294.\n\nStep 1: Start with one of t... | [
false
] | [
""
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false
] | [
"\\( 14 \\times 21 = 294 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 14 \\times 21 = 294 \\)", "start_line": 90, "end_line": 90, "context": "Line 90: direct multiplication answer", "start_p... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 14 \\times 21 = 294 \\)", "final_answer": null}] | [
[
false,
false,
false
]
] | [
[
"\\( 21 \\times 21 - 105 + 87 = 294 \\)",
"Step 1: 14 + 21 = 35\nStep 2: 35 * 8 = 280\nStep 3: 294 - 280 = 14",
"\\( 14 \\times 21 = 294 \\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "\\( 21 \\times 21 - 105 + 87 = 294 \\)", "start_line": 23, "end_line": 23, "context": "L... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 21 \\times 21 - 105 + 87 = 294 \\)", "final_answer": null}, {"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 35 * 8 = 280", "answer_block": "Step 1: 14 + 21 = 35\nStep 2: 35 * 8 = 280\nStep 3: 294 - 280 = 14", "... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [43, 62], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 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 | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6119, "numbers": [43, 62], "target": 105, "expression": "43 + 62"} | null | null | null | null | null | null | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {43, 62} which will result in exactly 105.\n\nStep 1: Start with one of the numbers.\n - Let's choose 43 first.\n\nStep 2: Add another number to get close to our goal.\n - We need more than just 43 to reach 105 qu... | [
false
] | [
""
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false
] | [
"((43 + 62) / 2)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "((43 + 62) / 2)", "start_line": 163, "end_line": 164, "context": "Lines 163-164: <answer> ((43 + 62) / 2) </answer>", "start... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((43 + 62) / 2)", "final_answer": 105.0}] | [
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[
"43 + 62 = 105",
"Alternative solutions exist involving advanced mathematical techniques beyond simple addition, subtraction, multiplication, and division, potentially requiring transcendental functions or iterative processes not easily captured within the confines of the provided examples.",
"43 + 62... | {"judge_model": "gpt-4.1-mini", "total_spans": 5, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 5, "internal_spans_detailed": [{"answer": "43 + 62 = 105", "start_line": 20, "end_line": 20, "context": "Line 20: <answer>43 + 62 =... | [[{"is_correct": true, "error": null, "answer_block": "43 + 62 = 105", "final_answer": 105.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Alternative solutions exist involving advanced mathematical techniques beyond simple addition, subtraction, multiplication, and division, potent... | {
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... | 2025-09-18 |
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 ... | 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 | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6251, "numbers": [69, 96], "target": 165, "expression": "69 + 96"} | null | null | null | null | null | null | null | [
"<think>\n<sample>\nRewritten Question:\n\nCreate an equation using the numbers from the given set {69, 96} which equals exactly 165.\n- Step 1: Start with one of the numbers (let's choose 69).\n- Step 2: Add another number to get close to our goal.\n- Step 3: Use multiplication if necessary to adjust towards 165.\... | [
false
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""
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"\\( 69 \\times 96 = 165 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 69 \\times 96 = 165 \\)", "start_line": 113, "end_line": 114, "context": "Thus, revisiting the core requirement without ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 69 \\times 96 = 165 \\)", "final_answer": null}] | [
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[
"69 * 96 - 69",
"Step 1: 69 * 2 = 138\nStep 2: Subtracting 138 from 165 leaves 27.\nStep 3: Adding 96 to 27 gets us 123.\nStep 4: Subtracting 123 from 165 brings us to 42.\nStep 5: Dividing 42 by 69 doesn’t yield anything useful beyond confirming everything fits correctly.",
"\\( 69 \\times 96 = 165 \... | {"judge_model": "gpt-4.1-mini", "total_spans": 3, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 3, "internal_spans_detailed": [{"answer": "69 * 96 - 69", "start_line": 12, "end_line": 12, "context": "Final Equation:", "start_po... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "69 * 96 - 69", "final_answer": 165.0}, {"is_correct": false, "error": "Line uses unavailable numbers: Step 1: 69 * 2 = 138", "answer_block": "Step 1: 69 * 2 = 138\nStep 2: Subtracting 138 from 165 leaves 27.\nStep 3: Adding 96 ... | {
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... | 2025-09-18 |
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