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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 | [
"Rewritten Question:\n\nCreate an equation using the numbers 73 and 48 that equals 121.\nThink carefully about how these two numbers can be combined through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 121. Each number must be used exactly once in your... | [
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"(73 - 48) * (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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {14, 54} that equals 756.\nThink carefully about how these numbers interact through addition, subtraction, multiplication, division, etc., until we find our desired result.\nFinal Answer:\n\n<answer>\n(54 * (14 - 1)) + 0 = 756\n</answer... | [
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"(54 * (14 - 1)) + 0 = 756"
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"(54 * (14 - 1)) + 0 = 756"
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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 [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {40, 70} which equals 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 closer to our goal.\n We need more than just 40 so let’s add 70 next since we have both numbe... | [
false
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"40 + 70 = 110"
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"40 + 70 = 110"
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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, 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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {30, 31} that equals 930.\n- Step 1: Add 30 and 31 together.\n- Step 2: Multiply the result from Step 1 by itself twice (since we need three factors).\n- Final Equation: (30 + 31) * (30 + 31) * (30 + 31)\n\nTherefore, the equation that ... | [
false
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false
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"((30 + 31) * (30 + 31)) * (30 + 31)"
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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 [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {25, 78} that 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 closer to our goal.\n We need more than just 78 to make up for any shortfall when adding other... | [
false
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""
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true
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"78 + 25 = 103"
] | {"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": "78 + 25 = 103", "start_line": 15, "end_line": 15, "context": "Final Answer:", "start_pos": 509, "end_pos": 539}, "total_spa... | [{"is_correct": true, "error": null, "answer_block": "78 + 25 = 103", "final_answer": 103.0}] | [
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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 [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers 85 and 76 that equals 161.\nThink carefully about how these two numbers can be combined through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 161. Each number must be used exactly once in your... | [
false
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false
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [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 | [
"Rewritten 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 6.\n- Final Equation: (45 + 75) / 6\n\nTherefore,\n<answer>((45 + 75) / 6)</answer>"
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[
"(45 + 75) / 6"
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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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {62, 14} that equals 868.\n\nStep 1: Start with one of the numbers.\n Let's choose 62 first.\n\nStep 2: Multiply 62 by another number from the set.\n We need to multiply by either 14 because we want our result close to but not excee... | [
false
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""
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false
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"(62 \\times 14) + (62 - 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 [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {87, 6} that equals 522.\nThink carefully about how these numbers can be combined through addition, subtraction, multiplication, division, etc., while ensuring all numbers are utilized exactly once. The goal is to form one complete equa... | [
false
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""
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false
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"(87 * (6 - 1))"
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"(87 * (6 - 1))"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {90, 66} which equals exactly 156.\n\nStep 1: Start with one of the numbers.\n Let's choose 90 first.\n\nStep 2: Add another number to get closer to our goal.\n We need more than just 90 so let’s add 66 next since we have both numbe... | [
false
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""
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true
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"90 + 66 = 156"
] | {"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": "90 + 66 = 156", "start_line": 15, "end_line": 15, "context": "<answer>90 + 66 = 156</answer>", "start_pos": 448, "end_pos":... | [{"is_correct": true, "error": null, "answer_block": "90 + 66 = 156", "final_answer": 156.0}] | [
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true
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] | [
[
"90 + 66 = 156"
]
] | {"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": "90 + 66 = 156", "start_line": 15, "end_line": 15, "context": "<answer>90 + 66 = 156</an... | [[{"is_correct": true, "error": null, "answer_block": "90 + 66 = 156", "final_answer": 156.0}]] | {
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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 [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {17, 92} which 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 closer to our goal.\n We need more than just 92 to make up for any shortfall when adding othe... | [
false
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""
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true
] | [
"(92 + 17)"
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true
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] | [
[
"(92 + 17)"
]
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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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {32, 20} that equals 640.\nThink carefully about how these numbers interact through addition, subtraction, multiplication, division, etc., until we find our desired result.\n\nFinal Answer:\n<answer>\n(32 * (20 - 8)) \n</answer>"
] | [
false
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""
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false
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[
"(32 * (20 - 8))"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(32 * (20 - 8))", "start_line": 8, "end_line": 8, "context": "line 8, inside <answer> t... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(32 * (20 - 8))", "final_answer": 640.0}]] | {
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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 [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {74, 51} which will result in exactly 125.\n\nStep 1: Start with one of the numbers.\n Let's choose 74 first.\n\nStep 2: Multiply 74 by another number from our set.\n We need to multiply by either 51 because 74 * 51 gives us close t... | [
false
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""
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false
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"\\( 74 \\times 51 - 3569 = 125 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 74 \\times 51 - 3569 = 125 \\)", "start_line": 34, "end_line": 34, "context": "<answer> \\( 74 \\times 51 - 3569 = 125 ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 74 \\times 51 - 3569 = 125 \\)", "final_answer": null}] | [
[
false
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] | [
[
"\\( 74 \\times 51 - 3569 = 125 \\)"
]
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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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {80, 7} that equals exactly 560.\n\nStep 1: Start with one of the numbers.\n Let's choose 80 first.\n\nStep 2: Multiply 80 by another number from the set.\n We need to multiply by 7 because we want to get close to our goal (560).\n\... | [
false
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""
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true
] | [
"80 * 7 = 560"
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[
"80 * 7 = 560"
]
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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 | [
{
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"Rewritten Question:\n\nCreate an equation using the numbers 73 and 80 that equals 153.\nThink carefully about how these two numbers can be combined through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 153. Each number must be used exactly once in your... | [
false
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"(80 - 73) * 6 = 153"
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"(80 - 73) * 6 = 153"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [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 | [
"Rewritten 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 so let’s add 27 next since adding any other nu... | [
false
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""
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true
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"84 + 27"
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[
"84 + 27"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [66, 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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {66, 55} which will result in the sum of 121 when evaluated correctly.\n\nTo solve this, we need to find two expressions involving these numbers that add up to 121.\n- First expression: \n - We know one part must equal 66 because if no... | [
false
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"66 + 55"
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"66 + 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 [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers 66 and 47 that equals 113.\nThink carefully about how these two numbers can be combined through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 113. Each number must be used exactly once in your... | [
false
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {75, 91} which will result in exactly 166.\n\nStep 1: Start with one of the numbers.\n Let's choose 75 first.\n\nStep 2: Add another number to get closer to our goal.\n We need more than just 75 so let’s add 91 next since adding the... | [
false
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""
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]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers 81 and 40 that equals 121.\nThink carefully about how these two numbers can be combined through addition, subtraction, multiplication, division, or any combination thereof to achieve the desired result of 121. Each number must be used exactly once in your... | [
false
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"Step 1: (81 - 40) * 2 = 121"
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]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {37, 87} which equals exactly 124.\n\nStep 1: Start with one of the numbers.\n Let's choose 37 first.\n\nStep 2: Add another number to get closer to our goal.\n We need more than just 37 to make up for any shortfall when adding othe... | [
false
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""
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false
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[
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]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {63, 52} which will result in exactly 115.\n\nStep 1: Start with one of the numbers.\n Let's choose 63 first.\n\nStep 2: Add another number to get closer to our goal.\n We need more than just 63 so let’s add 52 next since adding the... | [
false
] | [
""
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"63 + 52"
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[
"63 + 52"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "63 + 52", "start_line": 17, "end_line": 17, "context": "<answer>63 + 52</answer>", "sta... | [[{"is_correct": true, "error": null, "answer_block": "63 + 52", "final_answer": 115.0}]] | {
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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 [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {41, 22} that equals exactly 902.\n\nStep 1: Start with one of the numbers.\n Let's choose 41 first.\n\nStep 2: Multiply the chosen number by another number from the set.\n We'll multiply 41 by 22 because we have both 41 and 22 avai... | [
false
] | [
""
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false
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"41 × 22 = 902"
] | {"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": "41 \u00d7 22 = 902", "start_line": 18, "end_line": 18, "context": "Therefore,", "start_pos": 541, "end_pos": 571}, "total_s... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "41 \u00d7 22 = 902", "final_answer": null}] | [
[
false
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] | [
[
"41 × 22 = 902"
]
] | {"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": "41 \u00d7 22 = 902", "start_line": 18, "end_line": 18, "context": "Therefore,", "start_... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "41 \u00d7 22 = 902", "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 [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {61, 64} which will result in exactly 125.\n\nStep 1: Start with one of the numbers.\n Let's choose 64 first.\n\nStep 2: Add another number to get closer to our goal.\n We need more than just 64 so let’s add 61 next since adding the... | [
false
] | [
""
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true
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"64 + 61"
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[
true
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] | [
[
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] | {"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": "64 + 61", "start_line": 17, "end_line": 17, "context": "Therefore, <answer>64 + 61</ans... | [[{"is_correct": true, "error": null, "answer_block": "64 + 61", "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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {97, 55} which equals exactly 152.\n\nStep 1: Start with one of the numbers.\n Let's choose 97 first.\n\nStep 2: Add another number to get closer to our goal.\n We need more than just 97 so let’s add 55 next since adding any other n... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:54555/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-RC-ab_sft_bon_all_samples-sft", "prompt": [{"content": "Answer the following pro... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-RC-ab_sft_bon_all_samples-sft", "n_responses": 1} | [
true
] | [
"97 + 55 = 152"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "97 + 55 = 152", "start_line": 14, "end_line": 14, "context": "Therefore, the equation is:", "start_pos": 449, "end_pos": 47... | [{"is_correct": true, "error": null, "answer_block": "97 + 55 = 152", "final_answer": 152.0}] | [
[
true
]
] | [
[
"97 + 55 = 152"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "97 + 55 = 152", "start_line": 14, "end_line": 14, "context": "Therefore, the equation i... | [[{"is_correct": true, "error": null, "answer_block": "97 + 55 = 152", "final_answer": 152.0}]] | {
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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 [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 | [
"Rewritten Question:\n\nCreate an equation using the numbers from the given set {76, 43} that equals 119.\n\nStep 1: Start with one of the numbers.\n Let's choose 76 first.\n\nStep 2: Add another number to get closer to our goal.\n We need to add 43 because 76 + 43 = 119.\n\nFinal Equation: \n Step 1: 76\n ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:54555/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/M-RC-ab_sft_bon_all_samples-sft", "prompt": [{"content": "Answer the following pro... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-RC-ab_sft_bon_all_samples-sft", "n_responses": 1} | [
true
] | [
"76 + 43"
] | {"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": "76 + 43", "start_line": 16, "end_line": 16, "context": "Therefore,", "start_pos": 328, "end_pos": 352}, "total_spans_found"... | [{"is_correct": true, "error": null, "answer_block": "76 + 43", "final_answer": 119.0}] | [
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] | [
[
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]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "76 + 43", "start_line": 16, "end_line": 16, "context": "Therefore,", "start_pos": 328, ... | [[{"is_correct": true, "error": null, "answer_block": "76 + 43", "final_answer": 119.0}]] | {
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... | 2025-09-18 |
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