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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 [98, 86, 9], create an equation that equals 796. 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.
9*98 - 86
countdown_3arg
countdown
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[ "To solve this problem, we need to find a combination of the given numbers [98, 86, 9] using the operations (+, -, *, /) that results in the target number 796. \n\nHere’s how I would approach it:\n\n1. First, let's try simple addition or subtraction combinations:\n - 98 + 86 = 184 (too small)\n - 98 - 86 = 12 (...
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{"source_dataset": "countdown", "source_index": 824, "numbers": [98, 86, 9], "target": 796, "expression": "9*98 - 86"}
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[ "Rewritten Question: Using numbers 98, 86, and 9, create an equation equal to 796 using each number once and basic arithmetic operations.\n\nStep 1: 98 × 9 = 882 \nStep 2: 882 − 86 = 796 \n<answer>\nStep 1: 98 × 9 = 882 \nStep 2: 882 − 86 = 796\n</answer>", "Rewritten Question: Using 98, 86, and 9, create an e...
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
20*28 + 98
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem using the given numbers [98, 28, 20] and basic arithmetic operations, we nee(...TRUNCATED)
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"{\"source_dataset\": \"countdown\", \"source_index\": 0, \"numbers\": [98, 28, 20], \"target\": 658(...TRUNCATED)
["Step 1: 98 * 28 = 2744\nStep 2: 2744 - 20 = 2724","","Step 1: 98 + 28 = 126\nStep 2: 126 * 5 = 630(...TRUNCATED)
["Incorrect final answer","No <final_answer> or <answer> tag found","Line uses unavailable numbers: (...TRUNCATED)
["<answer>\nStep 1: 98 * 3 = 294\nStep 2: 294 + 28 + 20 = 342\nStep 3: 342 * 2 = 684\nStep 4: 684 - (...TRUNCATED)
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["Step 1: 98 * 3 = 294\nStep 2: 294 + 28 + 20 = 342\nStep 3: 342 * 2 = 684\nStep 4: 684 - 26 = 658",(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
"[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 1: 98 * 3 = 294\", \"answ(...TRUNCATED)
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[["Step 1: 98 * 3 = 294\nStep 2: 294 + 28 + 20 = 342\nStep 3: 342 * 2 = 684\nStep 4: 684 - 26 = 658"(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 8, \"span_text\": \"Step 1:(...TRUNCATED)
"[[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 1: 98 * 3 = 294\", \"ans(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":3,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
8*22 + 38
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem, we need to use the numbers [22, 8, 38] exactly once and apply basic arithme(...TRUNCATED)
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"{\"source_dataset\": \"countdown\", \"source_index\": 1, \"numbers\": [22, 8, 38], \"target\": 214,(...TRUNCATED)
["Step 1: 38 * 8 = 304\nStep 2: 304 - 7 = 297\nStep 3: 297 + 17 = 314","Step 1: 38 * 2 = 76\nStep 2:(...TRUNCATED)
["Line uses unavailable numbers: Step 2: 304 - 7 = 297","Line uses unavailable numbers: Step 1: 38 *(...TRUNCATED)
["Step 1: 22 * 8 = 176 \nStep 2: 38 - 176 = -138 \nStep 3: 214 - (-138) = 352 \n\nAlternatively, (...TRUNCATED)
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41*14 + 81
countdown_3arg
countdown
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["To solve this problem, we need to combine the given numbers [41, 81, 14] using addition, subtracti(...TRUNCATED)
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"{\"source_dataset\": \"countdown\", \"source_index\": 2, \"numbers\": [41, 81, 14], \"target\": 655(...TRUNCATED)
["","Step 1: 41 * 14 = 574\nStep 2: 574 + 81 = 655","Step 1: 41 + 81 = 122\nStep 2: 122 - 14 = 108\n(...TRUNCATED)
["No <final_answer> or <answer> tag found",null,"Line uses unavailable numbers: Step 3: 108 * 6 = 64(...TRUNCATED)
["Step 1: 41 * 81 = 3321 \nStep 2: 3321 - 14 = 3307 \nStep 3: 3307 - 50 = 3257 \nStep 4: 3257 + 5(...TRUNCATED)
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{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":5,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
75 + 69 + 5
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem using the numbers [5, 75, 69] and basic arithmetic operations, we need to fi(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,true,false,false,false,true,false(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 4, \"numbers\": [5, 75, 69], \"target\": 149,(...TRUNCATED)
["","Step 1: 75 * 69 = 5175\nStep 2: 5175 - 5 = 5170\nStep 3: 5170 / 5 = 1034","Step 1: 75 - 69 = 6\(...TRUNCATED)
["No <final_answer> or <answer> tag found","Line uses unavailable numbers: Step 3: 5170 / 5 = 1034",(...TRUNCATED)
["Let's work through the problem step by step.\n\n**Given:**\nNumbers: [5, 75, 69] \nTarget: 149\n\(...TRUNCATED)
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["75 + 69 + 5 = 149","Step 1: 75 + 69 = 144 \nStep 2: 144 + 5 = 149","Step 1: 75 + 69 = 144 \nStep(...TRUNCATED)
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{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":11,"pass_at_n":1,"percen(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
13*31 + 35
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem, we need to combine the given numbers [13, 31, 35] using basic arithmetic op(...TRUNCATED)
[false,false,false,true,false,false,false,false,false,false,false,false,false,false,false,false,fals(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 6, \"numbers\": [13, 31, 35], \"target\": 438(...TRUNCATED)
["","Step 1: 13 * 31 = 403\nStep 2: 403 - 35 = 368","No valid combination found strictly adhering to(...TRUNCATED)
["No <final_answer> or <answer> tag found","Incorrect final answer","Expected a single '=' separatin(...TRUNCATED)
["Let's think step by step:\n\nAlternative 1:\nTry multiplication first:\n- 35 × 13 = 455\n- 455 (...TRUNCATED)
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["Step 1: 13 × 31 = 403\nStep 2: 403 + 35 = 438","Step 1: 31 * 13 = 403 \nStep 2: 403 + 35 = 438",(...TRUNCATED)
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"[{\"is_correct\": false, \"error\": \"Could not evaluate line: Step 1: 13 \\u00d7 31 = 403\", \"ans(...TRUNCATED)
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[["Step 1: 13 × 31 = 403\nStep 2: 403 + 35 = 438"],["Step 1: 31 * 13 = 403 \nStep 2: 403 + 35 = 43(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1324, \"span_text\": \"Step(...TRUNCATED)
"[[{\"is_correct\": false, \"error\": \"Could not evaluate line: Step 1: 13 \\u00d7 31 = 403\", \"an(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":10,"pass_at_n":1,"percen(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
11*(87 - 72)
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem, we need to use the given numbers [11, 72, 87] with the operations of additi(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 8, \"numbers\": [11, 72, 87], \"target\": 165(...TRUNCATED)
["Step 1: (72 * 11) = 792\nStep 2: 792 / 87 = 165","Step 1: 72 * 9 = 648\nStep 2: 648 + 11 = 659\nSt(...TRUNCATED)
["Incorrect arithmetic in line: Step 2: 792 / 87 = 165","Line uses unavailable numbers: Step 1: 72 *(...TRUNCATED)
["Let's think step by step.\n\nStep 1: Consider using multiplication to reach a large value quickly.(...TRUNCATED)
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[null,null,null,"72 + 87 + 11 - 5 = 165","(11 + 72) + 87 = 165",null,"Step 1: 72 + 87 = 159\nStep 2:(...TRUNCATED)
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"[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED)
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"[[], [], [], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 121, \"span_tex(...TRUNCATED)
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{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":1,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
50 + 36 + 52
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem, we need to combine the given numbers [52, 36, 50] using basic arithmetic op(...TRUNCATED)
[false,false,false,true,false,false,false,false,false,false,false,false,false,false,false,false,true(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 9, \"numbers\": [52, 36, 50], \"target\": 138(...TRUNCATED)
["","Step 1: 52 × 4 = 208\nStep 2: 208 - 70 = 138","","Step 1: 52 + 36 = 88\nStep 2: 88 + 50 = 138"(...TRUNCATED)
["No <final_answer> or <answer> tag found","Could not evaluate line: Step 1: 52 × 4 = 208","No <fin(...TRUNCATED)
["Let's think step by step about using [52, 36, 50] to get 138.\n\n**Step 1:** List all possible com(...TRUNCATED)
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["52 + 36 + 50 = 138","52 + 36 + 50 = 138","Step 1: 50 * 2 = 100\nStep 2: 100 + 36 = 136\nStep 3: 13(...TRUNCATED)
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"[{\"is_correct\": true, \"error\": null, \"answer_block\": \"52 + 36 + 50 = 138\", \"final_answer\"(...TRUNCATED)
[[true],[true],[false],[],[true],[true],[true],[true],[],[false],[true],[true],[true],[true],[true],(...TRUNCATED)
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"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 748, \"span_text\": \"52 + (...TRUNCATED)
"[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"52 + 36 + 50 = 138\", \"final_answer\(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":11,"pass_at_n":1,"percen(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
5*(94 - 4)
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem using the numbers [4, 94, 5] with basic arithmetic operations and ensuring e(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 11, \"numbers\": [4, 94, 5], \"target\": 450,(...TRUNCATED)
["","94 + 45 * 5 = 450","","Step 1: 94 * 5 = 470\nStep 2: 470 - 20 = 450","Step 1: 94 + 49 = 143\nSt(...TRUNCATED)
["No <final_answer> or <answer> tag found","Expression does not equal stated result","No <final_answ(...TRUNCATED)
["Step 1: 94 * 5 = 470\nStep 2: 470 - 4 = 466\nStep 3: 466 - 16 = 450\n\nAlternatively,\n\nStep 1: 9(...TRUNCATED)
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[null,"Step 1: 94 * 5 = 470\nStep 2: 470 - 4 = 466\nStep 3: 466 - 16 = 450","Step 1: 94 * 5 = 470 \(...TRUNCATED)
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"[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED)
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[[],["Step 1: 94 * 5 = 470\nStep 2: 470 - 4 = 466\nStep 3: 466 - 16 = 450"],["Step 1: 94 * 5 = 470 (...TRUNCATED)
"[[], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 8, \"span_text\": \"Ste(...TRUNCATED)
"[[], [{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 3: 466 - 16 = 450\",(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":2,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
94 - 18 + 49
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem, we need to find a combination of the given numbers [18, 94, 49] using basic(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 12, \"numbers\": [18, 94, 49], \"target\": 12(...TRUNCATED)
["","","","No solution found","Step 1: 18 / 2 = 9\nStep 2: 9 + 80 = 89\nStep 3: 89 - 49 = 40\nStep 4(...TRUNCATED)
["No <final_answer> or <answer> tag found","No <final_answer> or <answer> tag found","Expected a sin(...TRUNCATED)
["Step 1: Multiply 18 and 94. \nStep 2: Subtract 49 from the result. \nStep 3: The final result is(...TRUNCATED)
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["(18 * 94) - 49 = 125","94 - 18 = 76\n76 + 49 = 125","94 - 18 + 49 = 125","(49 - 18) + 94 = 125","((...TRUNCATED)
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"[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED)
[[false],[false],[true],[true],[false],[false],[],[true],[false],[false],[true,true,true],[false],[t(...TRUNCATED)
[["(18 * 94) - 49 = 125"],["94 - 18 = 76\n76 + 49 = 125"],["94 - 18 + 49 = 125"],["(49 - 18) + 94 = (...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 342, \"span_text\": \"(18 *(...TRUNCATED)
"[[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\":(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":8,"pass_at_n":1,"percent(...TRUNCATED)
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