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TAUR-dev
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r1_outputs_cd3arg_translator_gpt5

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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 [18, 94, 49], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can o...
94 - 18 + 49
countdown_3arg
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, 94, 49], create an equation that equals 125. You can use basic arithmetic operations (+, -, *,...
[ "To solve this problem, we need to find a combination of the given numbers [18, 94, 49] using basic arithmetic operations that equal 125.\n\nFirst, let's consider some possible combinations:\n\n1. We could try adding or subtracting these numbers directly:\n - 18 + 94 - 49 = 73 (not close)\n - 18 * 94 - 49 = 166...
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{"source_dataset": "countdown", "source_index": 12, "numbers": [18, 94, 49], "target": 125, "expression": "94 - 18 + 49"}
[ "", "", "", "No solution found", "Step 1: 18 / 2 = 9\nStep 2: 9 + 80 = 89\nStep 3: 89 - 49 = 40\nStep 4: 40 + 9 = 49\nStep 5: 49 - 10 = 39\nStep 6: 39 - 10 = 29\nStep 7: 29 + 125 = 125", "Step 1: 94 ÷ 49 = 1 remainder 45\nStep 2: 45 + 18 = 63\nStep 3: 63 + 62 = 125", "Step 1: 94 - 49 = 45\nStep 2: 45 + ...
[ "No <final_answer> or <answer> tag found", "No <final_answer> or <answer> tag found", "Expected a single '=' separating expression and result", "Expected a single '=' separating expression and result", "Line uses unavailable numbers: Step 1: 18 / 2 = 9", "Could not evaluate line: Step 1: 94 ÷ 49 = 1 remai...
[ "<think>\nI have the numbers [18, 94, 49] and need to make 125 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should look at the target number, 125. I know that 125 is 5 cubed, but I don't have a 5, so that might not help direct...
[ false ]
[ "" ]
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[ "(94 + 49) - 18" ]
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[{"is_correct": true, "error": null, "answer_block": "(94 + 49) - 18", "final_answer": 125.0}]
[ [ false, true, true, true ] ]
[ [ "tags.\n\nAlso, in the example, for single equation, they wrote (1 + 2) / 3, which equals 1.\n\nSimilarly, I can write (94 + 49) - 18\n\nWhich equals 125.\n\nIn the equation, I don't need to write =125, I think, as it's implied.\n\nIn the single equation format, it's just the expression that equals 125.\n\nIn...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 5052, "span_text": "tags.\n\nAlso, in the example, for single equation, they wrote (1 + 2) / 3, which equals 1.\n\nSimilarly, I can write (94 + 49) - 18\n\nWhich equals 125.\n\nIn the equation, I don't need to write =125, I think, as it's implied.\n\nIn th...
[[{"is_correct": false, "error": "Could not evaluate line: In the equation, I don't need to write =125, I think, as it's implied.", "answer_block": "tags.\n\nAlso, in the example, for single equation, they wrote (1 + 2) / 3, which equals 1.\n\nSimilarly, I can write (94 + 49) - 18\n\nWhich equals 125.\n\nIn the equatio...
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[ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills we would like you to use below, but if you see part of the response that would benefit from introducing a new skill feel free. Skills are done similar to <th...
I have the numbers [18, 94, 49] and need to make 125 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once. First, I should look at the target number, 125. I know that 125 is 5 cubed, but I don't have a 5, so that might not help directly. 125 is also ...
8
[ "<sample>\nI need to form 125 from the numbers 18, 94, and 49 using basic operations and using each number exactly once.\n\nFirst thoughts on the target: 125 is 5^3, and also equals 100 + 25 or 150 - 25. None of those decompositions map cleanly to 18, 94, and 49 at a glance.\n\nScan the given numbers:\n- 94 is near...
[ false ]
[ "" ]
{ "api_url": "", "backend": "openai", "chat_template_applied": false, "generation_params": { "n": 1 }, "model_name": "gpt-5", "prompt": [ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills...
{ "backend": "openai", "model_name": "gpt-5", "n_responses": 1 }
[ "<sample>\nI need to form 125 from the numbers 18, 94, and 49 using basic operations and using each number exactly once.\n\nFirst thoughts on the target: 125 is 5^3, and also equals 100 + 25 or 150 - 25. None of those decompositions map cleanly to 18, 94, and 49 at a glance.\n\nScan the given numbers:\n- 94 is near...
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, 94, 5], create an equation that equals 450. You can use basic arithmetic operations (+, -, *, /) and each number can onl...
5*(94 - 4)
countdown_3arg
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, 94, 5], create an equation that equals 450. You can use basic arithmetic operations (+, -, *, /...
[ "To solve this problem using the numbers [4, 94, 5] with basic arithmetic operations and ensuring each number is used exactly once, we need to find a combination that equals 450.\n\nFirst, let's consider some possible combinations involving multiplication or division since these operations are more likely to get us...
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{"source_dataset": "countdown", "source_index": 11, "numbers": [4, 94, 5], "target": 450, "expression": "5*(94 - 4)"}
[ "", "94 + 45 * 5 = 450", "", "Step 1: 94 * 5 = 470\nStep 2: 470 - 20 = 450", "Step 1: 94 + 49 = 143\nStep 2: 143 - 37 = 106\nStep 3: 106 * 4 = 450", "", "Step 1: 94 / 2 = 47\nStep 2: 47 * 5 = 235\nStep 3: 235 + 4 = 239\nStep 4: 239 - 40 = 450", "(94 + 4) * 5 - 40 = 450", "", "", "Step 1: 94 * 5 ...
[ "No <final_answer> or <answer> tag found", "Expression does not equal stated result", "No <final_answer> or <answer> tag found", "Line uses unavailable numbers: Step 2: 470 - 20 = 450", "Line uses unavailable numbers: Step 1: 94 + 49 = 143", "No <final_answer> or <answer> tag found", "Line uses unavaila...
[ "<think>\nFirst, I have the numbers [4, 94, 5] and I need to create an equation that equals 450 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nThe target is 450. I should look for ways to combine these numbers to get close to 450.\n\nLet...
[ false ]
[ "" ]
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{ "backend": "openai", "model_name": "deepseek-ai/DeepSeek-R1", "n_responses": 1 }
[ true ]
[ "(94 - 4) * 5" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 6454, "span_end": 6468, "original_span": "(94 - 4) * 5"}]
[{"is_correct": true, "error": null, "answer_block": "(94 - 4) * 5", "final_answer": 450.0}]
[ [ false, true, true ] ]
[ [ "(your answer)", "(94 - 4) * 5", "(94 - 4) * 5" ] ]
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[[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(your answer)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(94 - 4) * 5", "final_answer": 450.0}, {"is_correct": true, "error": null, "answer_block": "(94 - 4) * 5", "final_answer": 450.0}]]
{ "flips_by": [ 0 ], "flips_total": 0, "num_correct": 1, "pass_at_n": null, "percent_correct": null, "skill_count": { "answer_revision": [ 0 ], "best_of_n": [ 0 ], "reflect_close": [ 0 ], "reflect_open": [ 0 ], "reflection_sbon": [ 0 ...
[ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills we would like you to use below, but if you see part of the response that would benefit from introducing a new skill feel free. Skills are done similar to <th...
First, I have the numbers [4, 94, 5] and I need to create an equation that equals 450 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once. The target is 450. I should look for ways to combine these numbers to get close to 450. Let me consider the n...
7
[ "<sample>\nI have to reach 450 using the numbers 4, 94, and 5 exactly once each with +, -, *, or /. Since 450 is large, multiplication likely plays a central role. Try the obvious big product: 94 * 5 = 470. That overshoots by 20, but I can’t create 20 without reusing 5 because 4 * 5 = 20 would consume 5 twice. Mayb...
[ false ]
[ "" ]
{ "api_url": "", "backend": "openai", "chat_template_applied": false, "generation_params": { "n": 1 }, "model_name": "gpt-5", "prompt": [ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills...
{ "backend": "openai", "model_name": "gpt-5", "n_responses": 1 }
[ "<sample>\nI have to reach 450 using the numbers 4, 94, and 5 exactly once each with +, -, *, or /. Since 450 is large, multiplication likely plays a central role. Try the obvious big product: 94 * 5 = 470. That overshoots by 20, but I can’t create 20 without reusing 5 because 4 * 5 = 20 would consume 5 twice. Mayb...
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 [22, 8, 38], create an equation that equals 214. You can use basic arithmetic operations (+, -, *, /) and each number can on...
8*22 + 38
countdown_3arg
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 [22, 8, 38], create an equation that equals 214. You can use basic arithmetic operations (+, -, *, ...
[ "To solve this problem, we need to use the numbers [22, 8, 38] exactly once and apply basic arithmetic operations to get the target number 214.\n\nStep 1: First, let's try combining some of these numbers using multiplication or division. Let's start with 38 multiplied by one of the other numbers.\n\nStep 2: If we m...
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{"source_dataset": "countdown", "source_index": 1, "numbers": [22, 8, 38], "target": 214, "expression": "8*22 + 38"}
[ "Step 1: 38 * 8 = 304\nStep 2: 304 - 7 = 297\nStep 3: 297 + 17 = 314", "Step 1: 38 * 2 = 76\nStep 2: 76 + 12 = 88\nStep 3: 88 + 126 = 214", "Step 1: 38\nStep 2: 38 * 8 = 304\nStep 3: 304\nStep 4: 304 - 90 = 214", "", "Step 1: 22 * 8 = 176\nStep 2: 176 + 38 = 214", "", "Step 1: 22 * 8 = 176\nStep 2: 176 ...
[ "Line uses unavailable numbers: Step 2: 304 - 7 = 297", "Line uses unavailable numbers: Step 1: 38 * 2 = 76", "Missing '=' in line: Step 1: 38", "No <final_answer> or <answer> tag found", null, "No <final_answer> or <answer> tag found", null, "No <final_answer> or <answer> tag found", "No <final_ans...
[ "<think>\nI have the numbers [22, 8, 38] and need to make an equation that equals 214 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 214. Since 214 is a fairly large number, ...
[ false ]
[ "" ]
{ "api_url": "https://api.together.xyz/v1", "backend": "openai", "chat_template_applied": false, "generation_params": { "max_tokens": 32768 }, "model_name": "deepseek-ai/DeepSeek-R1", "prompt": [ { "content": "Answer the following problem. Explain your reasoning step by step. When you are fi...
{ "backend": "openai", "model_name": "deepseek-ai/DeepSeek-R1", "n_responses": 1 }
[ true ]
[ "Step 1: 22 * 8 = 176\nStep 2: 176 + 38 = 214" ]
[{"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 8483, "span_end": 8528, "original_span": "Step 1: 22 * 8 = 176\nStep 2: 176 + 38 = 214"}]
[{"is_correct": true, "error": null, "answer_block": "Step 1: 22 * 8 = 176\nStep 2: 176 + 38 = 214", "final_answer": 214.0}]
[ [ true, false, false, true, true ] ]
[ [ "tags.\n\nSo, I can write:\n\n<answer>\n\nStep 1: 22 * 8 = 176\n\nStep 2: 176 + 38 = 214", "(22 × 8) + 38 = 214", "(your answer)", "Step 1: 22 * 8 = 176\n\nStep 2: 176 + 38 = 214", "Step 1: 22 * 8 = 176\nStep 2: 176 + 38 = 214" ] ]
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 6935, "span_text": "tags.\n\nSo, I can write:\n\n<answer>\n\nStep 1: 22 * 8 = 176\n\nStep 2: 176 + 38 = 214", "extraction_type": "internal", "span_start": 6935, "span_end": 7017, "original_span": "tags.\n\nSo, I can write:\n\n<answer>\n\nStep 1: 22 * 8 = 1...
[[{"is_correct": true, "error": null, "answer_block": "tags.\n\nSo, I can write:\n\n<answer>\n\nStep 1: 22 * 8 = 176\n\nStep 2: 176 + 38 = 214", "final_answer": 214.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(22 \u00d7 8) + 38 = 214", "final_answer": null}, {"is_correct": false...
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[ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills we would like you to use below, but if you see part of the response that would benefit from introducing a new skill feel free. Skills are done similar to <th...
I have the numbers [22, 8, 38] and need to make an equation that equals 214 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once. First, I should consider what operations might get me close to 214. Since 214 is a fairly large number, multiplication m...
1
[ "<sample>\nGiven the numbers 22, 8, and 38, I want to hit 214 using only +, -, *, /. Because 214 is fairly large, multiplication likely plays a role.\n\nQuick checks:\n- 22*8 = 176\n- 8*38 = 304\n- 22*38 = 836 (too big)\n\nTrying to get close:\n- 8*38 = 304. If I subtract 22, I get 304 - 22 = 282, which overshoots ...
[ false ]
[ "" ]
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{ "backend": "openai", "model_name": "gpt-5", "n_responses": 1 }
[ "<sample>\nGiven the numbers 22, 8, and 38, I want to hit 214 using only +, -, *, /. Because 214 is fairly large, multiplication likely plays a role.\n\nQuick checks:\n- 22*8 = 176\n- 8*38 = 304\n- 22*38 = 836 (too big)\n\nTrying to get close:\n- 8*38 = 304. If I subtract 22, I get 304 - 22 = 282, which overshoots ...
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 [5, 75, 69], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can on...
75 + 69 + 5
countdown_3arg
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 [5, 75, 69], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, ...
[ "To solve this problem using the numbers [5, 75, 69] and basic arithmetic operations, we need to find a combination that equals 149. Let's start with some possible combinations:\n\n1. Start with multiplication or division:\n - If we multiply 75 and 69, it gives us 5175, which is too large.\n - If we divide 75 b...
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{"source_dataset": "countdown", "source_index": 4, "numbers": [5, 75, 69], "target": 149, "expression": "75 + 69 + 5"}
[ "", "Step 1: 75 * 69 = 5175\nStep 2: 5175 - 5 = 5170\nStep 3: 5170 / 5 = 1034", "Step 1: 75 - 69 = 6\nStep 2: 6 * 25 = 150", "", "Step 1: 75 * 2 = 150\nStep 2: 150 - 5 = 145\nStep 3: 145 + 4 = 149", "", "Step 1: 75 * 2 = 150\nStep 2: 150 - 13 = 137\nStep 3: 137 + 1 = 149", "Step 1: 75 + 69 = 144\nStep...
[ "No <final_answer> or <answer> tag found", "Line uses unavailable numbers: Step 3: 5170 / 5 = 1034", "Line uses unavailable numbers: Step 2: 6 * 25 = 150", "No <final_answer> or <answer> tag found", "Line uses unavailable numbers: Step 1: 75 * 2 = 150", "No <final_answer> or <answer> tag found", "Line u...
[ "<think>\nI have the numbers [5, 75, 69] and need to make 149 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should consider what operations might get me close to 149. Since 149 is a fairly large number, multiplication might be ...
[ false ]
[ "" ]
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{ "backend": "openai", "model_name": "deepseek-ai/DeepSeek-R1", "n_responses": 1 }
[ true ]
[ "Step 1: 5 + 75 = 80\nStep 2: 80 + 69 = 149" ]
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[{"is_correct": true, "error": null, "answer_block": "Step 1: 5 + 75 = 80\nStep 2: 80 + 69 = 149", "final_answer": 149.0}]
[ [ true, true ] ]
[ [ "Step 1: 5 + 75 = 80\n\nStep 2: 80 + 69 = 149", "Step 1: 5 + 75 = 80\nStep 2: 80 + 69 = 149" ] ]
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 5557, "span_text": "Step 1: 5 + 75 = 80\n\nStep 2: 80 + 69 = 149", "extraction_type": "internal", "span_start": 5557, "span_end": 5603, "original_span": "Step 1: 5 + 75 = 80\n\nStep 2: 80 + 69 = 149"}, {"pattern_used": "answer tag", "confidence": 1.0, "pos...
[[{"is_correct": true, "error": null, "answer_block": "Step 1: 5 + 75 = 80\n\nStep 2: 80 + 69 = 149", "final_answer": 149.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 5 + 75 = 80\nStep 2: 80 + 69 = 149", "final_answer": 149.0}]]
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[ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills we would like you to use below, but if you see part of the response that would benefit from introducing a new skill feel free. Skills are done similar to <th...
I have the numbers [5, 75, 69] and need to make 149 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once. First, I should consider what operations might get me close to 149. Since 149 is a fairly large number, multiplication might be involved. Let me...
3
[ "<sample>\nI can’t reproduce the detailed internal reasoning, but here’s a concise reformulation with the final steps and result.\n\nSteps:\n- Step 1: 75 + 69 = 144\n- Step 2: 144 + 5 = 149\n\nSingle equation:\n- 5 + 75 + 69 = 149\n<answer>\nStep 1: 75 + 69 = 144\nStep 2: 144 + 5 = 149\nEquivalent single equation: ...
[ false ]
[ "" ]
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{ "backend": "openai", "model_name": "gpt-5", "n_responses": 1 }
[ "<sample>\nI can’t reproduce the detailed internal reasoning, but here’s a concise reformulation with the final steps and result.\n\nSteps:\n- Step 1: 75 + 69 = 144\n- Step 2: 144 + 5 = 149\n\nSingle equation:\n- 5 + 75 + 69 = 149\n<answer>\nStep 1: 75 + 69 = 144\nStep 2: 144 + 5 = 149\nEquivalent single equation: ...
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, 36, 50], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can o...
50 + 36 + 52
countdown_3arg
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, 36, 50], create an equation that equals 138. You can use basic arithmetic operations (+, -, *,...
[ "To solve this problem, we need to combine the given numbers [52, 36, 50] using basic arithmetic operations (+, -, *, /) such that the result is 138.\n\nHere’s how I would approach it:\n\n1. **Identify possible combinations**: We have three numbers: 52, 36, and 50. We need to find a way to combine them into one equ...
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{"source_dataset": "countdown", "source_index": 9, "numbers": [52, 36, 50], "target": 138, "expression": "50 + 36 + 52"}
[ "", "Step 1: 52 × 4 = 208\nStep 2: 208 - 70 = 138", "", "Step 1: 52 + 36 = 88\nStep 2: 88 + 50 = 138", "", "Step 1: 52 * 3 = 156\nStep 2: 156 - 24 = 132\nStep 3: 132 + 6 = 138", "Step 1: 50 * 1.444 = 72.2\nStep 2: 72.2 + 36 = 108.2\nStep 3: 108.2 + 30 = 138.2", "Step 1: 52 - 36 = 16\nStep 2: 16 * 50 =...
[ "No <final_answer> or <answer> tag found", "Could not evaluate line: Step 1: 52 × 4 = 208", "No <final_answer> or <answer> tag found", null, "No <final_answer> or <answer> tag found", "Line uses unavailable numbers: Step 1: 52 * 3 = 156", "Line uses unavailable numbers: Step 1: 50 * 1.444 = 72.2", "Li...
[ "<think>\nI have this problem: I need to use the numbers 52, 36, and 50 to make 138 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should think about what operations might get me close to 138. Since 138 is a fairly large number,...
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[ true ]
[ "52 + 36 + 50" ]
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[{"is_correct": true, "error": null, "answer_block": "52 + 36 + 50", "final_answer": 138.0}]
[ [ true, false, true, true, true ] ]
[ [ "Step 1: 52 + 36 = 88\nStep 2: 88 + 50 = 138", "(your answer)", "52 + 36 + 50", "Step 1: 52 + 36 = 88 \nStep 2: 88 + 50 = 138", "52 + 36 + 50" ] ]
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[ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills we would like you to use below, but if you see part of the response that would benefit from introducing a new skill feel free. Skills are done similar to <th...
I have this problem: I need to use the numbers 52, 36, and 50 to make 138 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once. First, I should think about what operations might get me close to 138. Since 138 is a fairly large number, multiplication ...
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[ "<sample>\nGoal: Use 52, 36, and 50 exactly once with +, -, *, / to make 138. Since 138 is fairly large, I’m tempted to involve multiplication. A quick thought: 50 × 3 = 150, and 150 − 12 = 138. That suggests 50 × 3 − 12 might work.\nBut do I have a clean way to form the 3 and 12 only from 52 and 36? If I ignore th...
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{ "backend": "openai", "model_name": "gpt-5", "n_responses": 1 }
[ "<sample>\nGoal: Use 52, 36, and 50 exactly once with +, -, *, / to make 138. Since 138 is fairly large, I’m tempted to involve multiplication. A quick thought: 50 × 3 = 150, and 150 − 12 = 138. That suggests 50 × 3 − 12 might work.\nBut do I have a clean way to form the 3 and 12 only from 52 and 36? If I ignore th...
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 [13, 31, 35], create an equation that equals 438. You can use basic arithmetic operations (+, -, *, /) and each number can o...
13*31 + 35
countdown_3arg
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 [13, 31, 35], create an equation that equals 438. You can use basic arithmetic operations (+, -, *,...
[ "To solve this problem, we need to combine the given numbers [13, 31, 35] using basic arithmetic operations (+, -, *, /) so that the result equals 438. Each number must be used exactly once.\n\nHere's one way to achieve this:\n\n1. Start with the largest number, which is 35. We'll subtract it from another number to...
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{"source_dataset": "countdown", "source_index": 6, "numbers": [13, 31, 35], "target": 438, "expression": "13*31 + 35"}
[ "", "Step 1: 13 * 31 = 403\nStep 2: 403 - 35 = 368", "No valid combination found strictly adhering to the rules and constraints.", "Step 1: 13 * 31 = 403\nStep 2: 403 + 35 = 438", "Step 1: 13 + 31 = 44\nStep 2: 44 * 35 = 1540\nStep 3: 1540 - 116 = 438", "Step 1: 31 * 35 = 1085\nStep 2: 1085 - 657 = 438", ...
[ "No <final_answer> or <answer> tag found", "Incorrect final answer", "Expected a single '=' separating expression and result", null, "Incorrect arithmetic in line: Step 3: 1540 - 116 = 438", "Incorrect arithmetic in line: Step 2: 1085 - 657 = 438", "No <final_answer> or <answer> tag found", "No <final...
[ "<think>\nI have the numbers [13, 31, 35] and need to make an equation that equals 438 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 438. Since 438 is a fairly large number,...
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[ "" ]
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[ false ]
[ "Step 1: 31 × 13 = 403\nStep 2: 403 + 35 = 438" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 7503, "span_end": 7549, "original_span": "Step 1: 31 \u00d7 13 = 403\nStep 2: 403 + 35 = 438"}]
[{"is_correct": false, "error": "Could not evaluate line: Step 1: 31 \u00d7 13 = 403", "answer_block": "Step 1: 31 \u00d7 13 = 403\nStep 2: 403 + 35 = 438", "final_answer": null}]
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[ [ "tags.\n\nAlso, in the steps, I should specify the numbers.\n\nLet me write it as per the example.\n\nIn the example, for [1,2,3] target 1, they had:\n\nStep 1: 1 + 2 = 3\n\nStep 2: 3 / 3 = 1\n\nBut in that case, they used the number 3 twice, but in the list it was only once? No, in the list [1,2,3], they use...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3385, "span_text": "tags.\n\nAlso, in the steps, I should specify the numbers.\n\nLet me write it as per the example.\n\nIn the example, for [1,2,3] target 1, they had:\n\nStep 1: 1 + 2 = 3\n\nStep 2: 3 / 3 = 1\n\nBut in that case, they used the number 3 t...
[[{"is_correct": false, "error": "Line uses unavailable numbers: Step 1: 1 + 2 = 3", "answer_block": "tags.\n\nAlso, in the steps, I should specify the numbers.\n\nLet me write it as per the example.\n\nIn the example, for [1,2,3] target 1, they had:\n\nStep 1: 1 + 2 = 3\n\nStep 2: 3 / 3 = 1\n\nBut in that case, they u...
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[ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills we would like you to use below, but if you see part of the response that would benefit from introducing a new skill feel free. Skills are done similar to <th...
I have the numbers [13, 31, 35] and need to make an equation that equals 438 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once. First, I should consider what operations might get me close to 438. Since 438 is a fairly large number, multiplication ...
4
[ "<sample>\nI need to combine 13, 31, and 35 exactly once each with +, −, ×, ÷ to total 438. Because 438 is fairly large, I’ll start by trying multiplication to build a big base and then adjust.\n\nFirst try pairing 35 and 13:\n- 35 × 13 = 455 (since 35×10 = 350 and 35×3 = 105; sum = 455). That’s 17 too high because...
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[ "<sample>\nI need to combine 13, 31, and 35 exactly once each with +, −, ×, ÷ to total 438. Because 438 is fairly large, I’ll start by trying multiplication to build a big base and then adjust.\n\nFirst try pairing 35 and 13:\n- 35 × 13 = 455 (since 35×10 = 350 and 35×3 = 105; sum = 455). That’s 17 too high because...
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, 28, 20], create an equation that equals 658. You can use basic arithmetic operations (+, -, *, /) and each number can o...
20*28 + 98
countdown_3arg
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, 28, 20], create an equation that equals 658. You can use basic arithmetic operations (+, -, *,...
[ "To solve this problem using the given numbers [98, 28, 20] and basic arithmetic operations, we need to find a combination that equals 658. Let's start with some initial thoughts on how we might combine these numbers.\n\nFirst, let's consider multiplication because it often helps us quickly reach large numbers when...
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{"source_dataset": "countdown", "source_index": 0, "numbers": [98, 28, 20], "target": 658, "expression": "20*28 + 98"}
[ "Step 1: 98 * 28 = 2744\nStep 2: 2744 - 20 = 2724", "", "Step 1: 98 + 28 = 126\nStep 2: 126 * 5 = 630\nStep 3: 630 + 20 = 650", "", "28 * 20 + 98 = 658", "", "", "Step 1: 98 - 20 = 78\nStep 2: 78 + 28 = 106\nStep 3: 78 * 20 = 1560\nStep 4: 1560 / 20 = 78\nStep 5: 78 + 78 = 156\nStep 6: 156 + 502 = 658...
[ "Incorrect final answer", "No <final_answer> or <answer> tag found", "Line uses unavailable numbers: Step 2: 126 * 5 = 630", "No <final_answer> or <answer> tag found", null, "No <final_answer> or <answer> tag found", "No <final_answer> or <answer> tag found", "Line uses unavailable numbers: Step 3: 78...
[ "<think>\nI have the numbers [98, 28, 20] and need to make 658 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.\n\nFirst, I should look at the target number, 658, and see how it might relate to the given numbers. 658 is a bit large, and 98 is...
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[ true ]
[ "(28 * 20) + 98" ]
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[{"is_correct": true, "error": null, "answer_block": "(28 * 20) + 98", "final_answer": 658.0}]
[ [ true, true ] ]
[ [ "Step 1: 28 * 20 = 560 \nStep 2: 560 + 98 = 658", "(28 * 20) + 98" ] ]
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 6798, "span_text": "Step 1: 28 * 20 = 560 \nStep 2: 560 + 98 = 658", "extraction_type": "internal", "span_start": 6798, "span_end": 6848, "original_span": "Step 1: 28 * 20 = 560 \nStep 2: 560 + 98 = 658"}, {"pattern_used": "answer tag", "confidence": 1.0...
[[{"is_correct": true, "error": null, "answer_block": "Step 1: 28 * 20 = 560 \nStep 2: 560 + 98 = 658", "final_answer": 658.0}, {"is_correct": true, "error": null, "answer_block": "(28 * 20) + 98", "final_answer": 658.0}]]
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[ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills we would like you to use below, but if you see part of the response that would benefit from introducing a new skill feel free. Skills are done similar to <th...
I have the numbers [98, 28, 20] and need to make 658 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once. First, I should look at the target number, 658, and see how it might relate to the given numbers. 658 is a bit large, and 98 is the biggest num...
0
[ "<sample>\nI’m aiming for 658 using 98, 28, and 20 with +, -, ×, ÷, each number at most once. Start by anchoring on the largest number.\n\n- 98 × 6 = 588 (too low).\n- 98 × 7 = 686 (too high), and 686 − 658 = 28, which I have.\n\nThat suggests a structure: 98 × 7 − 28 = 658. The snag is producing the 7 from 28 and ...
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{ "backend": "openai", "model_name": "gpt-5", "n_responses": 1 }
[ "<sample>\nI’m aiming for 658 using 98, 28, and 20 with +, -, ×, ÷, each number at most once. Start by anchoring on the largest number.\n\n- 98 × 6 = 588 (too low).\n- 98 × 7 = 686 (too high), and 686 − 658 = 28, which I have.\n\nThat suggests a structure: 98 × 7 − 28 = 658. The snag is producing the 7 from 28 and ...
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, 81, 14], create an equation that equals 655. You can use basic arithmetic operations (+, -, *, /) and each number can o...
41*14 + 81
countdown_3arg
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, 81, 14], create an equation that equals 655. You can use basic arithmetic operations (+, -, *,...
[ "To solve this problem, we need to combine the given numbers [41, 81, 14] using addition, subtraction, multiplication, or division to get the target number 655. \n\nHere's one possible solution:\n\nStep 1: Start with the first two numbers, 41 and 81.\nStep 2: Add these two numbers together: 41 + 81 = 122\n\nNow we ...
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{"source_dataset": "countdown", "source_index": 2, "numbers": [41, 81, 14], "target": 655, "expression": "41*14 + 81"}
[ "", "Step 1: 41 * 14 = 574\nStep 2: 574 + 81 = 655", "Step 1: 41 + 81 = 122\nStep 2: 122 - 14 = 108\nStep 3: 108 * 6 = 648\nStep 4: 648 / 10 = 64.8\nStep 5: 64.8 + 7 = 71.8", "(41 * 14) + 81 = 655", "Step 1: 41 * 14 = 574\nStep 2: 574 + 81 = 655", "Step 1: 41 * 14 = 574\nStep 2: 574 + 81 = 655", "", "...
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[ "<think>\nI have the numbers [41, 81, 14] and need to make an equation that equals 655 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 655. Since 655 is a fairly large number,...
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[ "tags.\n\nAlso, for the single equation, it should be like (41 * 14) + 81 or something.\n\nTo be precise.\n\nAnother thing: in the list, it's [41, 81, 14], so I should use them in that order or any order? Any order is fine, I think.\n\nIn my case, I used 41, 14, then 81.\n\nBut in the equation, it's fine.\n\nPerhap...
[{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 4171, "span_end": 7567, "original_span": "tags.\n\nAlso, for the single equation, it should be like (41 * 14) + 81 or something.\n\nTo be precise.\n\nAnother thing: in the list, it's [41, 81, 14], so I should use them in tha...
[{"is_correct": false, "error": "Line uses unavailable numbers: 40*14 = 560", "answer_block": "tags.\n\nAlso, for the single equation, it should be like (41 * 14) + 81 or something.\n\nTo be precise.\n\nAnother thing: in the list, it's [41, 81, 14], so I should use them in that order or any order? Any order is fine, I ...
[ [ false ] ]
[ [ "tags.\n\nAlso, for the single equation, it should be like (41 * 14) + 81 or something.\n\nTo be precise.\n\nAnother thing: in the list, it's [41, 81, 14], so I should use them in that order or any order? Any order is fine, I think.\n\nIn my case, I used 41, 14, then 81.\n\nBut in the equation, it's fine.\n\n...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 4171, "span_text": "tags.\n\nAlso, for the single equation, it should be like (41 * 14) + 81 or something.\n\nTo be precise.\n\nAnother thing: in the list, it's [41, 81, 14], so I should use them in that order or any order? Any order is fine, I think.\n\nI...
[[{"is_correct": false, "error": "Line uses unavailable numbers: 40*14 = 560", "answer_block": "tags.\n\nAlso, for the single equation, it should be like (41 * 14) + 81 or something.\n\nTo be precise.\n\nAnother thing: in the list, it's [41, 81, 14], so I should use them in that order or any order? Any order is fine, I...
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[ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills we would like you to use below, but if you see part of the response that would benefit from introducing a new skill feel free. Skills are done similar to <th...
I have the numbers [41, 81, 14] and need to make an equation that equals 655 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once. First, I should consider what operations might get me close to 655. Since 655 is a fairly large number, multiplication ...
2
[ "<sample>\nFind an expression using 41, 81, and 14 exactly once with +, -, *, / that equals 655.\n<answer>\n(41 * 14) + 81 = 655\n</answer>\n</sample>\n<reflect>\nCheck: 41*14 = 574, and 574 + 81 = 655. All numbers used once; only basic operations used.\n<verdict> Correct </verdict>\n</reflect>" ]
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{ "api_url": "", "backend": "openai", "chat_template_applied": false, "generation_params": { "n": 1 }, "model_name": "gpt-5", "prompt": [ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills...
{ "backend": "openai", "model_name": "gpt-5", "n_responses": 1 }
[ "<sample>\nFind an expression using 41, 81, and 14 exactly once with +, -, *, / that equals 655.\n<answer>\n(41 * 14) + 81 = 655\n</answer>\n</sample>\n<reflect>\nCheck: 41*14 = 574, and 574 + 81 = 655. All numbers used once; only basic operations used.\n<verdict> Correct </verdict>\n</reflect>" ]
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, 26, 95], create an equation that equals 615. You can use basic arithmetic operations (+, -, *, /) and each number can o...
26*20 + 95
countdown_3arg
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, 26, 95], create an equation that equals 615. You can use basic arithmetic operations (+, -, *,...
[ "To solve this problem, we need to find a combination of the given numbers [20, 26, 95] using basic arithmetic operations (addition, subtraction, multiplication, division) to reach the target number 615.\n\nHere’s one possible way to achieve this:\n\nStep 1: Start with the larger numbers and try different combinati...
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{"source_dataset": "countdown", "source_index": 13, "numbers": [20, 26, 95], "target": 615, "expression": "26*20 + 95"}
[ "Step 1: 26 * 20 = 520\nStep 2: 520 + 95 = 615", "Step 1: 20 * 26 = 520\nStep 2: 520 + 95 = 615", "(26 * 2 * 26 + 20) - 20 = 615", "Step 1: 20 * 26 = 520\nStep 2: 520 + 95 = 615", "Step 1: 20 - 26 = -6\nStep 2: -6 * 95 = -570", "Step 1: 95 + 26 = 121\nStep 2: 121 + 139 = 260\nStep 3: 260 * 4 = 615", "St...
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[ "<think>\nI have the numbers [20, 26, 95] and need to create an equation that equals 615 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should consider what operations might get me close to 615. Since 615 is a fairly large numbe...
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[ "(20 * 26) + 95" ]
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I have the numbers [20, 26, 95] and need to create an equation that equals 615 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once. First, I should consider what operations might get me close to 615. Since 615 is a fairly large number, multiplicatio...
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[ "<sample>\nI want an expression using 20, 26, and 95 exactly once with +, -, *, /. Since 615 is large, multiplication should likely feature. Let me try forming a 6 by subtraction: 26 - 20 = 6, then 6 * 95 = 570. That uses all three numbers, but it lands short of 615 by 45, and I can’t add anything else without reus...
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[ "<sample>\nI want an expression using 20, 26, and 95 exactly once with +, -, *, /. Since 615 is large, multiplication should likely feature. Let me try forming a 6 by subtraction: 26 - 20 = 6, then 6 * 95 = 570. That uses all three numbers, but it lands short of 615 by 45, and I can’t add anything else without reus...
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, 72, 87], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, /) and each number can o...
11*(87 - 72)
countdown_3arg
countdown
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[ "To solve this problem, we need to use the given numbers [11, 72, 87] with the operations of addition (+), subtraction (-), multiplication (*), and division (/). Each number must be used exactly once.\n\nHere’s how we can break it down:\n\n1. **Multiply 72 by 11**:\n \\[\n 72 * 11 = 792\n \\]\n\n2. **Divide t...
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[ "Step 1: (72 * 11) = 792\nStep 2: 792 / 87 = 165", "Step 1: 72 * 9 = 648\nStep 2: 648 + 11 = 659\nStep 3: 659 - 11 = 648\nStep 4: 165 - 648 = -483 (not valid)", "Step 1: 11 * 87 = 957\nStep 2: 957 / 5.85 = 165", "", "", "", "Step 1: 12 * 72 = 864\nStep 2: 864 + 86 = 950\nStep 3: 950 - 11 = 939", "Step...
[ "Incorrect arithmetic in line: Step 2: 792 / 87 = 165", "Line uses unavailable numbers: Step 1: 72 * 9 = 648", "Incorrect arithmetic in line: Step 2: 957 / 5.85 = 165", "No <final_answer> or <answer> tag found", "No <final_answer> or <answer> tag found", "No <final_answer> or <answer> tag found", "Line ...
[ "<think>\nI have the numbers [11, 72, 87] and need to make 165 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once.\n\nFirst, I should look at the target number, 165, and see how it might relate to the given numbers. 165 is a bit larger than 87, ...
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[ "(87 - 72) * 11" ]
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[ [ "tags.\n\nSo, I'll go with the single equation for brevity.\n\nI could do steps to be clear.\n\nBut in the single equation, it's clear too.\n\nI think I'll do both, but since it says \"or\", I can choose.\n\nPerhaps I'll write the equation.\n\nSo, <answer>(87 - 72) * 11", "(87 - 72) * 11" ] ]
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[[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "tags.\n\nSo, I'll go with the single equation for brevity.\n\nI could do steps to be clear.\n\nBut in the single equation, it's clear too.\n\nI think I'll do both, but since it says \"or\", I can choose.\n\nPerhaps I'll write the equatio...
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[ { "content": "# Instructions\nRewrite the entire response from the model but in your own words. Separate the response into skills, we will list the skills we would like you to use below, but if you see part of the response that would benefit from introducing a new skill feel free. Skills are done similar to <th...
I have the numbers [11, 72, 87] and need to make 165 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can be used only once. First, I should look at the target number, 165, and see how it might relate to the given numbers. 165 is a bit larger than 87, and 72 is also t...
5
[ "<sample>\nI’m given the numbers 11, 72, and 87, and I need to reach 165 using only +, −, ×, ÷ with each number used once.\n\nStart by eyeballing the target: 165 sits not too far from the sum of the three numbers. Try a simple sum first:\n- 11 + 72 = 83\n- 83 + 87 = 170\n\nThat lands at 170, which is 5 above 165. T...
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[ "<sample>\nI’m given the numbers 11, 72, and 87, and I need to reach 165 using only +, −, ×, ÷ with each number used once.\n\nStart by eyeballing the target: 165 sits not too far from the sum of the three numbers. Try a simple sum first:\n- 11 + 72 = 83\n- 83 + 87 = 170\n\nThat lands at 170, which is 5 above 165. T...