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{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1414, \"numbers\": [87, 5, 73], \"target\": 165, \"expression\": \"5 + 87 + 73\"}", "is_model_response_correct__final_answer": ["Step 1: 87 * 5 = 435\nStep 2: 435 - 270 = 165\nStep 3: 165 + 100 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 + 73 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 * 73 = 6636\nStep 3: 6636 + 1 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 - 73 = 362\nStep 3: 362 / 2 = 181\nStep 4: 181 - 73 = 108\nStep 5: 165 + 108 = 273\nStep 6: 273 - 108 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 - 73 = 19\nStep 3: 19 * 87 = 165", "Step 1: 87 * 73 = 6351\nStep 2: 6351 + 5 = 6356\nStep 3: 6356 - 5 = 6351\nStep 4: 6351 / 39 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 - 5 = 155\nStep 3: 155 + 10 = 165", "Step 1: 87 + 88 = 175\nStep 2: 175 - 10 = 165", "Step 1: 365 - 87 = 278\nStep 2: 278 + 73 = 351\nStep 3: 351 + 87 = 438\nStep 4: 438 - 73 = 365\nStep 5: 365 / 73 = 5\nStep 6: 5 + 87 = 92\nStep 7: 92 - 73 = 19\nStep 8: 19 + 73 = 92\nStep 9: 92 + 87 = 179\nStep 10: 179 - 73 = 106\nStep 11: 106 + 73 = 179\nStep 12: 179 + 87 = 266\nStep 13: 266 - 73 = 193\nStep 14: 193 + 73 = 266", "Step 1: 87 * 73 = 6321\nStep 2: 6321 - 5 = 165", "Step 1: 87 - 16 = 71\nStep 2: 71 + 73 = 144\nStep 3: 144 * 5 = 720\nStep 4: 720 - 200 = 165", "Step 1: 73 + 14 = 87\nStep 2: 87 * 2 = 174\nStep 3: 174 + 19 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 - 73 = 19\nStep 3: 19 * 10 = 190", "Step 1: 87 * 2 = 174\nStep 2: 174 + 5 = 179\nStep 3: 179 - 73 = 106\nStep 4: 106 - 4 = 102\nStep 5: 102 - 43 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 - 73 = 362\nStep 3: 362 - 73 = 289\nStep 4: 289 - 73 = 216\nStep 5: 216 - 73 = 143\nStep 6: 143 - 73 = 70\nStep 7: 70 - 73 = -3\nStep 8: 165", "Step 1: 87 * 5 = 435\nStep 2: 435 + 73 = 508\nStep 3: 508 - 5 = 165", "Step 1: 87 - 5 = 82\nStep 2: 82 * 73 = 165", "Step 1: 87 + 78 = 165", "Step 1: 87 - 5 = 82\nStep 2: 82 + 73 = 155\nStep 3: 155 + 10 = 165", "Step 1: 87 * 2 = 174\nStep 2: 174 - 68 = 165", "Step 1: 19 * 8 = 152\nStep 2: 152 + 13 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 - 73 = 165", "Step 1: 87 - 5 = 82\nStep 2: 82 + 73 = 155\nStep 3: 155 + 10 = 165", "Step 1: 87 \\times 5 = 435\nStep 2: 435 \\times 73 = 31545\nStep 3: 31545 \\div 5 = 6309\nStep 4: 6309 \\div 73 = 87", "87 * 5 - 73 + 5 = 165", "Step 1: 87 - 73 = 14\nStep 2: 14 + 5 = 19\nStep 3: 19 * 8 = 152\nStep 4: 152 + 13 = 165", "Step 1: 87 * 73 = 6321\nStep 2: 6321 - 5 = 6316\nStep 3: 6316 * 73 = 456528", "Step 1: 87 * 2 = 174\nStep 2: 174 - 9 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 + 73 = 508\nStep 3: 508 - 33 = 165", "Step 1: 73 + 5 = 78\nStep 2: 78 / 87 = 1.000", "Step 1: 87 * 5 = 435\nStep 2: 435 / 73 = 6\nStep 3: 6 + 6 = 12", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 / 5 = 17\nStep 2: 17 + 73 = 90\nStep 3: 90 + 15 = 105\nStep 4: 105 + 60 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 - 73 = 362\nStep 3: 362 - 87 = 275\nStep 4: 275 - 23 = 165", "Step 1: 87 * 2 = 174\nStep 2: 174 - 5 = 169\nStep 3: 169 + 73 = 242\nStep 4: 242 - 77 = 165", "", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 / 73 = 1\nStep 2: 14 + 5 = 19", "Step 1: 87 - 73 = 14\nStep 2: 14 * 11 = 154\nStep 3: 154 + 11 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 / 73 = 6", "Step 1: 87 + 5 = 92\nStep 2: 92 + 73 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 * 73 = 6736\nStep 3: 6736 - 19 = 6717\nStep 4: 6717 - 13 = 165", "Step 1: 87 + 78 = 165", "Step 1: 435 - 73 = 362\nStep 2: 362 / 87 = 4\nStep 3: 4 + 5 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 / 73 = 1.1935\nStep 2: 1.1935 + 5 = 6.1935\nStep 3: 6.1935 * 26 = 161.021\nStep 4: 165 - 161.021 = 3.979", "Step 1: 87 \\times 2 = 174\nStep 2: 174 - 9 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 + 73 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 * 73 = 6716\nStep 3: 6716 / 41 = 165", "Step 1: 73 * 5 = 365\nStep 2: 365 - 165 = 200", "Step 1: 87 * 5 = 435\nStep 2: 435 / 3 = 145\nStep 3: 145 + 20 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 + 73 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 * 73 = 6736\nStep 3: 6736 - 5 = 6731\nStep 4: 6731 / 41 = 165", "Step 1: 87 - 5 = 82\nStep 2: 82 + 73 = 155\nStep 3: 155 - 5 = 150\nStep 4: 150 - 5 = 145\nStep 5: 145 - 5 = 140\nStep 6: 140 - 5 = 135\nStep 7: 135 - 5 = 130\nStep 8: 130 - 5 = 125\nStep 9: 125 - 5 = 120\nStep 10: 120 - 5 = 115\nStep 11: 115 - 5 = 110\nStep 12: 110 - 5 = 105\nStep 13: 105 - 5 = 100\nStep 14: 100 - 5 = 95\nStep 15: 95 - 5 = 90\nStep 16: 90 - 5 = 85\nStep 17: 85 - 5 = 80\nStep 18: 80 - 5 = 75\nStep 19: 75 - 5 = 70\nStep 20: 70 - 5 = 65\nStep 21: 65 - 5 = 60\nStep 22: 60 - 5 = 55\nStep 23: 55 - 5 = 50\nStep 24: 50 - 5 = 45\nStep 25: 45 - 5 = 40\nStep 26: 40 - 5 = 35\nStep 27: 35 - 5 = 30\nStep 28: 30 - 5 = 25\nStep 29: 25 - 5 = 20\nStep 30: 20 - 5 = 15\nStep 31: 15 - 5 = 10\nStep 32: 10 - 5 = 5\nStep 33: 5 - 5 = 0", "Step 1: 87 / 73 = 1.180952380952381\nStep 2: 1.180952380952381 * 5 = 5.904761904761905\nStep 3: 5.904761904761905 * 30 = 177.14285714285714\nStep 4: 177.14285714285714 - 12.14285714285714 = 165", "Step 1: 87 * 2 = 174\nStep 2: 174 - 5 = 169\nStep 3: 169 - 73 = 96\nStep 4: 96 + 9 = 105\nStep 5: 105 + 60 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 - 5 = 155\nStep 3: 165", "Step 1: 87 * 73 = 6321\nStep 2: 6321 - 6481 = -160\nStep 3: -160 + 160 = 0\nStep 4: 0 + 165 = 165", "Step 1: 56 + 66 = 122\nStep 2: 122 * 82 = 9984\nStep 3: 9984 / 46 = 214.88235294117647", "Step 1: 56 + 66 = 122\nStep 2: 122 + 82 = 204", "Step 1: 56 + 66 = 122\nStep 2: 122 * 1.66666666667 = 204", "Step 1: 56 * 66 = 3636\nStep 2: 3636 + 82 = 3718"], "is_model_response_correct__reasoning": ["Line uses unavailable numbers: Step 2: 435 - 270 = 165", null, "Incorrect arithmetic in line: Step 2: 92 * 73 = 6636", null, "Line uses unavailable numbers: Step 3: 362 / 2 = 181", "Incorrect arithmetic in line: Step 3: 19 * 87 = 165", "Line uses unavailable numbers: Step 3: 6356 - 5 = 6351", null, "Line uses unavailable numbers: Step 3: 155 + 10 = 165", "Line uses unavailable numbers: Step 1: 87 + 88 = 175", "Line uses unavailable numbers: Step 1: 365 - 87 = 278", "Incorrect arithmetic in line: Step 1: 87 * 73 = 6321", "Line uses unavailable numbers: Step 1: 87 - 16 = 71", "Line uses unavailable numbers: Step 1: 73 + 14 = 87", "Line uses unavailable numbers: Step 3: 19 * 10 = 190", "Line uses unavailable numbers: Step 1: 87 * 2 = 174", "Line uses unavailable numbers: Step 3: 362 - 73 = 289", "Incorrect arithmetic in line: Step 3: 508 - 5 = 165", "Incorrect arithmetic in line: Step 2: 82 * 73 = 165", "Line uses unavailable numbers: Step 1: 87 + 78 = 165", "Line uses unavailable numbers: Step 3: 155 + 10 = 165", "Line uses unavailable numbers: Step 1: 87 * 2 = 174", "Line uses unavailable numbers: Step 1: 19 * 8 = 152", "Incorrect arithmetic in line: Step 2: 92 - 73 = 165", "Line uses unavailable numbers: Step 3: 155 + 10 = 165", "Could not evaluate line: Step 1: 87 \\times 5 = 435", "Expression does not equal stated result", "Line uses unavailable numbers: Step 3: 19 * 8 = 152", "Incorrect arithmetic in line: Step 1: 87 * 73 = 6321", "Line uses unavailable numbers: Step 1: 87 * 2 = 174", "Incorrect arithmetic in line: Step 3: 508 - 33 = 165", "Incorrect arithmetic in line: Step 2: 78 / 87 = 1.000", "Incorrect arithmetic in line: Step 2: 435 / 73 = 6", null, "Incorrect arithmetic in line: Step 1: 87 / 5 = 17", "Line uses unavailable numbers: Step 3: 362 - 87 = 275", "Line uses unavailable numbers: Step 1: 87 * 2 = 174", "Expected a single '=' separating expression and result", null, "Incorrect arithmetic in line: Step 1: 87 / 73 = 1", "Line uses unavailable numbers: Step 2: 14 * 11 = 154", "Incorrect arithmetic in line: Step 2: 435 / 73 = 6", null, "Incorrect arithmetic in line: Step 2: 92 * 73 = 6736", "Line uses unavailable numbers: Step 1: 87 + 78 = 165", "Line uses unavailable numbers: Step 1: 435 - 73 = 362", null, "Incorrect arithmetic in line: Step 1: 87 / 73 = 1.1935", "Could not evaluate line: Step 1: 87 \\times 2 = 174", null, "Incorrect arithmetic in line: Step 3: 6716 / 41 = 165", "Line uses unavailable numbers: Step 2: 365 - 165 = 200", "Line uses unavailable numbers: Step 2: 435 / 3 = 145", null, "Incorrect arithmetic in line: Step 2: 92 * 73 = 6736", "Line uses unavailable numbers: Step 3: 155 - 5 = 150", "Incorrect arithmetic in line: Step 1: 87 / 73 = 1.180952380952381", "Line uses unavailable numbers: Step 1: 87 * 2 = 174", "Missing '=' in line: Step 3: 165", "Incorrect arithmetic in line: Step 1: 87 * 73 = 6321", "Line uses unavailable numbers: Step 1: 56 + 66 = 122", "Line uses unavailable numbers: Step 1: 56 + 66 = 122", "Line uses unavailable numbers: Step 1: 56 + 66 = 122", "Incorrect arithmetic in line: Step 1: 56 * 66 = 3636"]}
5 + 87 + 73
[ "Step 1: 87 * 5 = 435\nStep 2: 435 - 270 = 165\nStep 3: 165 + 100 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 + 73 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 * 73 = 6636\nStep 3: 6636 + 1 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 - 73 = 362\nStep 3: 362 / 2 = 181\...
[ "Line uses unavailable numbers: Step 2: 435 - 270 = 165", null, "Incorrect arithmetic in line: Step 2: 92 * 73 = 6636", null, "Line uses unavailable numbers: Step 3: 362 / 2 = 181", "Incorrect arithmetic in line: Step 3: 19 * 87 = 165", "Line uses unavailable numbers: Step 3: 6356 - 5 = 6351", null, ...
{"source_dataset": "countdown", "source_index": 1414, "numbers": [87, 5, 73], "target": 165, "expression": "5 + 87 + 73"}
[ "To solve the problem of finding an equation using the numbers [87, 5, 73] that equals 165, we can follow these steps:\n\n1. First, we need to find a combination of the numbers that will multiply to give a number close to 165.\n2. We can start by multiplying 87 and 5, which gives us 435.\n3. Next, we need to find a...
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[ "<think>\n<sample>\nI'll start by using reasoning on what first comes to mind.\nTo achieve the target number 165 using the given numbers [87, 5, 73] while ensuring each number is used exactly once, we need to consider various combinations of addition, subtraction, multiplication, and division. Here’s one possible a...
[ { "answer_block": "(87 + 5) + 73", "error": null, "evaluation_method": null, "extraction_result": null, "final_answer": 165, "is_correct": true, "reason": null } ]
[ "(87 + 5) + 73" ]
[ { "extraction_type": "final", "non_overlapping_spans": 5, "original_span": "(87 + 5) + 73", "span_end": 6695, "span_start": 6680, "total_spans_found": 5 } ]
[ true ]
[ [ { "answer_block": "\\(87 + 5 - 73 = 19\\)\n\\(19 \\times 8 = 152\\)\n\\(152 + 3 = 155\\)\n\\(155 - 10 = 165\\)", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false }, { "answer_block": "(87 * 73) / 5 = 165", "error": "Expression does...
[ [ "\\(87 + 5 - 73 = 19\\)\n\\(19 \\times 8 = 152\\)\n\\(152 + 3 = 155\\)\n\\(155 - 10 = 165\\)", "(87 * 73) / 5 = 165", "87 + 5 - 5 + 73 + 10", "Step 1: 87 + 73 = 160\nStep 2: 160 - 5 = 155", "(87 + 5) + 73" ] ]
[ [ { "confidence": 1, "extraction_type": "internal", "original_span": "\\(87 + 5 - 73 = 19\\)\n\\(19 \\times 8 = 152\\)\n\\(152 + 3 = 155\\)\n\\(155 - 10 = 165\\)", "pattern_used": "answer tag", "position": 1434, "span_end": 1515, "span_start": 1434, "span_text": "...
[ [ false, false, false, false, true ] ]
{ "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": [ 5 ], "reflect_open": [ 5 ], "reflection_sbon": [ 0 ], "sample_close": [ 5 ], "sample_open": [ 5 ], "vote_close": [ 0 ], "vote_open": [ 0 ], "voting": [ 0 ] }, "total_responses": 1 }
[ { "content": "Answer the following problem. Explain your reasoning step by 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, 5, 73], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, ...
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, 5, 73], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
countdown_3arg
countdown
0
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 1414, \"numbers\": [87, 5, 73], \"target\": 165, \"expression\": \"5 + 87 + 73\"}", "is_model_response_correct__final_answer": ["Step 1: 87 * 5 = 435\nStep 2: 435 - 270 = 165\nStep 3: 165 + 100 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 + 73 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 * 73 = 6636\nStep 3: 6636 + 1 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 - 73 = 362\nStep 3: 362 / 2 = 181\nStep 4: 181 - 73 = 108\nStep 5: 165 + 108 = 273\nStep 6: 273 - 108 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 - 73 = 19\nStep 3: 19 * 87 = 165", "Step 1: 87 * 73 = 6351\nStep 2: 6351 + 5 = 6356\nStep 3: 6356 - 5 = 6351\nStep 4: 6351 / 39 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 - 5 = 155\nStep 3: 155 + 10 = 165", "Step 1: 87 + 88 = 175\nStep 2: 175 - 10 = 165", "Step 1: 365 - 87 = 278\nStep 2: 278 + 73 = 351\nStep 3: 351 + 87 = 438\nStep 4: 438 - 73 = 365\nStep 5: 365 / 73 = 5\nStep 6: 5 + 87 = 92\nStep 7: 92 - 73 = 19\nStep 8: 19 + 73 = 92\nStep 9: 92 + 87 = 179\nStep 10: 179 - 73 = 106\nStep 11: 106 + 73 = 179\nStep 12: 179 + 87 = 266\nStep 13: 266 - 73 = 193\nStep 14: 193 + 73 = 266", "Step 1: 87 * 73 = 6321\nStep 2: 6321 - 5 = 165", "Step 1: 87 - 16 = 71\nStep 2: 71 + 73 = 144\nStep 3: 144 * 5 = 720\nStep 4: 720 - 200 = 165", "Step 1: 73 + 14 = 87\nStep 2: 87 * 2 = 174\nStep 3: 174 + 19 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 - 73 = 19\nStep 3: 19 * 10 = 190", "Step 1: 87 * 2 = 174\nStep 2: 174 + 5 = 179\nStep 3: 179 - 73 = 106\nStep 4: 106 - 4 = 102\nStep 5: 102 - 43 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 - 73 = 362\nStep 3: 362 - 73 = 289\nStep 4: 289 - 73 = 216\nStep 5: 216 - 73 = 143\nStep 6: 143 - 73 = 70\nStep 7: 70 - 73 = -3\nStep 8: 165", "Step 1: 87 * 5 = 435\nStep 2: 435 + 73 = 508\nStep 3: 508 - 5 = 165", "Step 1: 87 - 5 = 82\nStep 2: 82 * 73 = 165", "Step 1: 87 + 78 = 165", "Step 1: 87 - 5 = 82\nStep 2: 82 + 73 = 155\nStep 3: 155 + 10 = 165", "Step 1: 87 * 2 = 174\nStep 2: 174 - 68 = 165", "Step 1: 19 * 8 = 152\nStep 2: 152 + 13 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 - 73 = 165", "Step 1: 87 - 5 = 82\nStep 2: 82 + 73 = 155\nStep 3: 155 + 10 = 165", "Step 1: 87 \\times 5 = 435\nStep 2: 435 \\times 73 = 31545\nStep 3: 31545 \\div 5 = 6309\nStep 4: 6309 \\div 73 = 87", "87 * 5 - 73 + 5 = 165", "Step 1: 87 - 73 = 14\nStep 2: 14 + 5 = 19\nStep 3: 19 * 8 = 152\nStep 4: 152 + 13 = 165", "Step 1: 87 * 73 = 6321\nStep 2: 6321 - 5 = 6316\nStep 3: 6316 * 73 = 456528", "Step 1: 87 * 2 = 174\nStep 2: 174 - 9 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 + 73 = 508\nStep 3: 508 - 33 = 165", "Step 1: 73 + 5 = 78\nStep 2: 78 / 87 = 1.000", "Step 1: 87 * 5 = 435\nStep 2: 435 / 73 = 6\nStep 3: 6 + 6 = 12", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 / 5 = 17\nStep 2: 17 + 73 = 90\nStep 3: 90 + 15 = 105\nStep 4: 105 + 60 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 - 73 = 362\nStep 3: 362 - 87 = 275\nStep 4: 275 - 23 = 165", "Step 1: 87 * 2 = 174\nStep 2: 174 - 5 = 169\nStep 3: 169 + 73 = 242\nStep 4: 242 - 77 = 165", "", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 / 73 = 1\nStep 2: 14 + 5 = 19", "Step 1: 87 - 73 = 14\nStep 2: 14 * 11 = 154\nStep 3: 154 + 11 = 165", "Step 1: 87 * 5 = 435\nStep 2: 435 / 73 = 6", "Step 1: 87 + 5 = 92\nStep 2: 92 + 73 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 * 73 = 6736\nStep 3: 6736 - 19 = 6717\nStep 4: 6717 - 13 = 165", "Step 1: 87 + 78 = 165", "Step 1: 435 - 73 = 362\nStep 2: 362 / 87 = 4\nStep 3: 4 + 5 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 + 5 = 165", "Step 1: 87 / 73 = 1.1935\nStep 2: 1.1935 + 5 = 6.1935\nStep 3: 6.1935 * 26 = 161.021\nStep 4: 165 - 161.021 = 3.979", "Step 1: 87 \\times 2 = 174\nStep 2: 174 - 9 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 + 73 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 * 73 = 6716\nStep 3: 6716 / 41 = 165", "Step 1: 73 * 5 = 365\nStep 2: 365 - 165 = 200", "Step 1: 87 * 5 = 435\nStep 2: 435 / 3 = 145\nStep 3: 145 + 20 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 + 73 = 165", "Step 1: 87 + 5 = 92\nStep 2: 92 * 73 = 6736\nStep 3: 6736 - 5 = 6731\nStep 4: 6731 / 41 = 165", "Step 1: 87 - 5 = 82\nStep 2: 82 + 73 = 155\nStep 3: 155 - 5 = 150\nStep 4: 150 - 5 = 145\nStep 5: 145 - 5 = 140\nStep 6: 140 - 5 = 135\nStep 7: 135 - 5 = 130\nStep 8: 130 - 5 = 125\nStep 9: 125 - 5 = 120\nStep 10: 120 - 5 = 115\nStep 11: 115 - 5 = 110\nStep 12: 110 - 5 = 105\nStep 13: 105 - 5 = 100\nStep 14: 100 - 5 = 95\nStep 15: 95 - 5 = 90\nStep 16: 90 - 5 = 85\nStep 17: 85 - 5 = 80\nStep 18: 80 - 5 = 75\nStep 19: 75 - 5 = 70\nStep 20: 70 - 5 = 65\nStep 21: 65 - 5 = 60\nStep 22: 60 - 5 = 55\nStep 23: 55 - 5 = 50\nStep 24: 50 - 5 = 45\nStep 25: 45 - 5 = 40\nStep 26: 40 - 5 = 35\nStep 27: 35 - 5 = 30\nStep 28: 30 - 5 = 25\nStep 29: 25 - 5 = 20\nStep 30: 20 - 5 = 15\nStep 31: 15 - 5 = 10\nStep 32: 10 - 5 = 5\nStep 33: 5 - 5 = 0", "Step 1: 87 / 73 = 1.180952380952381\nStep 2: 1.180952380952381 * 5 = 5.904761904761905\nStep 3: 5.904761904761905 * 30 = 177.14285714285714\nStep 4: 177.14285714285714 - 12.14285714285714 = 165", "Step 1: 87 * 2 = 174\nStep 2: 174 - 5 = 169\nStep 3: 169 - 73 = 96\nStep 4: 96 + 9 = 105\nStep 5: 105 + 60 = 165", "Step 1: 87 + 73 = 160\nStep 2: 160 - 5 = 155\nStep 3: 165", "Step 1: 87 * 73 = 6321\nStep 2: 6321 - 6481 = -160\nStep 3: -160 + 160 = 0\nStep 4: 0 + 165 = 165", "Step 1: 56 + 66 = 122\nStep 2: 122 * 82 = 9984\nStep 3: 9984 / 46 = 214.88235294117647", "Step 1: 56 + 66 = 122\nStep 2: 122 + 82 = 204", "Step 1: 56 + 66 = 122\nStep 2: 122 * 1.66666666667 = 204", "Step 1: 56 * 66 = 3636\nStep 2: 3636 + 82 = 3718"], "is_model_response_correct__reasoning": ["Line uses unavailable numbers: Step 2: 435 - 270 = 165", null, "Incorrect arithmetic in line: Step 2: 92 * 73 = 6636", null, "Line uses unavailable numbers: Step 3: 362 / 2 = 181", "Incorrect arithmetic in line: Step 3: 19 * 87 = 165", "Line uses unavailable numbers: Step 3: 6356 - 5 = 6351", null, "Line uses unavailable numbers: Step 3: 155 + 10 = 165", "Line uses unavailable numbers: Step 1: 87 + 88 = 175", "Line uses unavailable numbers: Step 1: 365 - 87 = 278", "Incorrect arithmetic in line: Step 1: 87 * 73 = 6321", "Line uses unavailable numbers: Step 1: 87 - 16 = 71", "Line uses unavailable numbers: Step 1: 73 + 14 = 87", "Line uses unavailable numbers: Step 3: 19 * 10 = 190", "Line uses unavailable numbers: Step 1: 87 * 2 = 174", "Line uses unavailable numbers: Step 3: 362 - 73 = 289", "Incorrect arithmetic in line: Step 3: 508 - 5 = 165", "Incorrect arithmetic in line: Step 2: 82 * 73 = 165", "Line uses unavailable numbers: Step 1: 87 + 78 = 165", "Line uses unavailable numbers: Step 3: 155 + 10 = 165", "Line uses unavailable numbers: Step 1: 87 * 2 = 174", "Line uses unavailable numbers: Step 1: 19 * 8 = 152", "Incorrect arithmetic in line: Step 2: 92 - 73 = 165", "Line uses unavailable numbers: Step 3: 155 + 10 = 165", "Could not evaluate line: Step 1: 87 \\times 5 = 435", "Expression does not equal stated result", "Line uses unavailable numbers: Step 3: 19 * 8 = 152", "Incorrect arithmetic in line: Step 1: 87 * 73 = 6321", "Line uses unavailable numbers: Step 1: 87 * 2 = 174", "Incorrect arithmetic in line: Step 3: 508 - 33 = 165", "Incorrect arithmetic in line: Step 2: 78 / 87 = 1.000", "Incorrect arithmetic in line: Step 2: 435 / 73 = 6", null, "Incorrect arithmetic in line: Step 1: 87 / 5 = 17", "Line uses unavailable numbers: Step 3: 362 - 87 = 275", "Line uses unavailable numbers: Step 1: 87 * 2 = 174", "Expected a single '=' separating expression and result", null, "Incorrect arithmetic in line: Step 1: 87 / 73 = 1", "Line uses unavailable numbers: Step 2: 14 * 11 = 154", "Incorrect arithmetic in line: Step 2: 435 / 73 = 6", null, "Incorrect arithmetic in line: Step 2: 92 * 73 = 6736", "Line uses unavailable numbers: Step 1: 87 + 78 = 165", "Line uses unavailable numbers: Step 1: 435 - 73 = 362", null, "Incorrect arithmetic in line: Step 1: 87 / 73 = 1.1935", "Could not evaluate line: Step 1: 87 \\times 2 = 174", null, "Incorrect arithmetic in line: Step 3: 6716 / 41 = 165", "Line uses unavailable numbers: Step 2: 365 - 165 = 200", "Line uses unavailable numbers: Step 2: 435 / 3 = 145", null, "Incorrect arithmetic in line: Step 2: 92 * 73 = 6736", "Line uses unavailable numbers: Step 3: 155 - 5 = 150", "Incorrect arithmetic in line: Step 1: 87 / 73 = 1.180952380952381", "Line uses unavailable numbers: Step 1: 87 * 2 = 174", "Missing '=' in line: Step 3: 165", "Incorrect arithmetic in line: Step 1: 87 * 73 = 6321", "Line uses unavailable numbers: Step 1: 56 + 66 = 122", "Line uses unavailable numbers: Step 1: 56 + 66 = 122", "Line uses unavailable numbers: Step 1: 56 + 66 = 122", "Incorrect arithmetic in line: Step 1: 56 * 66 = 3636"]}
5 + 87 + 73
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{"source_dataset": "countdown", "source_index": 1414, "numbers": [87, 5, 73], "target": 165, "expression": "5 + 87 + 73"}
[ "To solve the problem of finding an equation using the numbers [87, 5, 73] that equals 165, we can follow these steps:\n\n1. First, we need to find a combination of the numbers that will multiply to give a number close to 165.\n2. We can start by multiplying 87 and 5, which gives us 435.\n3. Next, we need to find a...
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[ "<think>\n<sample>\nLet me begin with reasoning on what first comes to mind.\nTo solve this problem, we need to use the numbers provided (87, 5, 73) and combine them using basic arithmetic operations to get the target number, which is 165. Let's break down the process:\n\n### Step 1: Identify possible combinations\...
[ { "answer_block": "(87 + 5) + 73", "error": null, "evaluation_method": null, "extraction_result": null, "final_answer": 165, "is_correct": true, "reason": null } ]
[ "(87 + 5) + 73" ]
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[ [ "(87 + 5) + 73", "(87 + 5) + 73" ] ]
[ [ { "confidence": 1, "extraction_type": "internal", "original_span": "(87 + 5) + 73", "pattern_used": "answer tag", "position": 743, "span_end": 756, "span_start": 743, "span_text": "(87 + 5) + 73" }, { "confidence": 1, "extraction_type": "inte...
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[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [87, 5, 73], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, ...
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, 5, 73], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
countdown_3arg
countdown
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5 + 87 + 73
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[ "87 + 73 + 5 = 165" ]
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countdown_3arg
countdown
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5 + 87 + 73
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[[{"confidence":1.0,"extraction_type":"internal","original_span":"No valid equation exists under the(...TRUNCATED)
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countdown_3arg
countdown
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5 + 87 + 73
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[{"answer_block":"(87 + 73) + 5 = 165","error":null,"evaluation_method":null,"extraction_result":nul(...TRUNCATED)
[ "(87 + 73) + 5 = 165" ]
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[[{"confidence":1.0,"extraction_type":"internal","original_span":"(87 + 73) + 5","pattern_used":"ans(...TRUNCATED)
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countdown_3arg
countdown
0
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5 + 87 + 73
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"{\"source_dataset\": \"countdown\", \"source_index\": 1414, \"numbers\": [87, 5, 73], \"target\": 1(...TRUNCATED)
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[{"answer_block":"87 + 5 - 73 + 19 = 165","error":"Expression does not equal stated result","evaluat(...TRUNCATED)
[ "87 + 5 - 73 + 19 = 165" ]
[{"extraction_type":"final","non_overlapping_spans":6,"original_span":"87 + 5 - 73 + 19 = 165","span(...TRUNCATED)
[ false ]
[[{"answer_block":"Step 1: 87 + 73 = 160\nStep 2: 160 - 5 = 155","error":"Incorrect final answer","f(...TRUNCATED)
[["Step 1: 87 + 73 = 160\nStep 2: 160 - 5 = 155","87 + 5 - 73 + 19 = 165","(175 - 10)","((87 - 5) //(...TRUNCATED)
[[{"confidence":1.0,"extraction_type":"internal","original_span":"Step 1: 87 + 73 = 160\nStep 2: 160(...TRUNCATED)
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countdown_3arg
countdown
0
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5 + 87 + 73
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[ "Step 1: 87 + 73 = 160\nStep 2: 160 - 5 = 155" ]
[{"extraction_type":"final","non_overlapping_spans":6,"original_span":"Step 1: 87 + 73 = 160\nStep 2(...TRUNCATED)
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[[{"confidence":1.0,"extraction_type":"internal","original_span":"(87 - 5) * 73 - 5","pattern_used":(...TRUNCATED)
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{"flips_by":[1],"flips_total":1,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED)
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countdown_3arg
countdown
0
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41*(58 - 50)
["Step 1: 32 * 10 = 320\nStep 2: 320 + 8 = 328","Step 1: 41 * 8 = 328","Step 1: 41 * 58 = 2378\nStep(...TRUNCATED)
["Line uses unavailable numbers: Step 1: 32 * 10 = 320","Line uses unavailable numbers: Step 1: 41 *(...TRUNCATED)
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[{"answer_block":"\\( (50 \\times 58) + 41 = 328 \\)","error":"Could not evaluate expression","evalu(...TRUNCATED)
[ "\\( (50 \\times 58) + 41 = 328 \\)" ]
[{"extraction_type":"final","non_overlapping_spans":7,"original_span":"\\( (50 \\times 58) + 41 = 32(...TRUNCATED)
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[["\\( 50 \\times 58 - 41 + 50 = 328 \\)","41 * 8 = 328","(41 + 50 + 58) - 58 + 50 = 328","No valid (...TRUNCATED)
[[{"confidence":1.0,"extraction_type":"internal","original_span":"\\( 50 \\times 58 - 41 + 50 = 328 (...TRUNCATED)
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countdown_3arg
countdown
0
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41*(58 - 50)
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[ "(50 + 58) - 41" ]
[{"extraction_type":"final","non_overlapping_spans":5,"original_span":"(50 + 58) - 41","span_end":58(...TRUNCATED)
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[[{"answer_block":"\\( (58 \\times 6) - 20 \\)","error":"Could not evaluate expression","final_answe(...TRUNCATED)
[["\\( (58 \\times 6) - 20 \\)","(41 + 50) - 58","Step 1: 41 + 50 = 91\nStep 2: 91 * 58 = 5378\nStep(...TRUNCATED)
[[{"confidence":1.0,"extraction_type":"internal","original_span":"\\( (58 \\times 6) - 20 \\)","patt(...TRUNCATED)
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{"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED)
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countdown_3arg
countdown
0
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41*(58 - 50)
["Step 1: 32 * 10 = 320\nStep 2: 320 + 8 = 328","Step 1: 41 * 8 = 328","Step 1: 41 * 58 = 2378\nStep(...TRUNCATED)
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[{"answer_block":"(50 * 8) - 41 + 58","error":"Expression does not equal stated result","evaluation_(...TRUNCATED)
[ "(50 * 8) - 41 + 58" ]
[{"extraction_type":"final","non_overlapping_spans":7,"original_span":"(50 * 8) - 41 + 58","span_end(...TRUNCATED)
[ false ]
[[{"answer_block":"\\(41 \\times 8 + 58\\)","error":"Could not evaluate expression","final_answer":n(...TRUNCATED)
[["\\(41 \\times 8 + 58\\)","(50 * 8) - 41 + 58 = 328","((41 + 50) * 8) - 58","(58 * 5) + 50 - 41 = (...TRUNCATED)
[[{"confidence":1.0,"extraction_type":"internal","original_span":"\\(41 \\times 8 + 58\\)","pattern_(...TRUNCATED)
[ [ false, false, false, false, false, false, false ] ]
{"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED)
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
countdown_3arg
countdown
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