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Q7BI_sft_countdown_3arg_scored

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answer
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is_model_response_correct__final_answer
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dict
"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 solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
["To solve this problem using the given numbers [98, 28, 20] and basic arithmetic operations, we nee(...TRUNCATED)
[false,false,false,false,true,false,false,false,false,false,false,false,false,false,false,false,true(...TRUNCATED)
original
"{\"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)
["To solve the problem using the numbers [98, 28, 20] to get 658, let's break down the process:\n\n1(...TRUNCATED)
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["Step 1: 98 * 20 = 1960\nStep 2: 28 * 46 = 1288\nStep 3: 1288 + 14 = 1302\nStep 4: 1960 - 1302 = 65(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
"[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 2: 28 * 46 = 1288\", \"an(...TRUNCATED)
[[false],[false],[true],[true],[false],[true],[false],[true],[false],[false],[false],[true],[false],(...TRUNCATED)
[["Step 1: 98 * 20 = 1960\nStep 2: 28 * 46 = 1288\nStep 3: 1288 + 14 = 1302\nStep 4: 1960 - 1302 = 6(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1717, \"span_text\": \"Step(...TRUNCATED)
"[[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 2: 28 * 46 = 1288\", \"a(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":6,"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 solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
["To solve this problem, we need to use the numbers [22, 8, 38] exactly once and apply basic arithme(...TRUNCATED)
[false,false,false,false,true,false,true,false,false,false,false,false,false,false,false,false,false(...TRUNCATED)
original
"{\"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)
["To solve the problem using the numbers [22, 8, 38] to get 214, let's break down the process:\n\n1.(...TRUNCATED)
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{"api_url":"http://10.32.36.243:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
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["Step 1: 38 * 6 = 228\nStep 2: 228 - 22 = 206\nStep 3: 206 + 8 = 214","Step 1: 38 * 5 = 190\nStep 2(...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: 38 * 6 = 228\", \"answ(...TRUNCATED)
[[false],[false],[false],[false],[true],[true],[false],[true],[false],[false],[true],[false],[false](...TRUNCATED)
[["Step 1: 38 * 6 = 228\nStep 2: 228 - 22 = 206\nStep 3: 206 + 8 = 214"],["Step 1: 38 * 5 = 190\nSte(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1217, \"span_text\": \"Step(...TRUNCATED)
"[[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 1: 38 * 6 = 228\", \"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":5,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
41*14 + 81
countdown_3arg
countdown
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
["To solve this problem, we need to combine the given numbers [41, 81, 14] using addition, subtracti(...TRUNCATED)
[false,true,false,true,true,true,false,false,true,false,false,true,false,true,false,true,false,true,(...TRUNCATED)
original
"{\"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)
["To solve the problem using the numbers in the list [41, 81, 14] to get 655, let's break down the p(...TRUNCATED)
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{"api_url":"http://10.32.36.243:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 16 }
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["Step 1: 81 * 8 = 648\nStep 2: 41 - 5 = 36\nStep 3: 648 + 36 = 655","Step 1: 81 * 8 = 648\nStep 2: (...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: 81 * 8 = 648\", \"answ(...TRUNCATED)
[[false],[false],[false],[false],[false,false],[false],[false],[true],[false],[false],[false],[true](...TRUNCATED)
[["Step 1: 81 * 8 = 648\nStep 2: 41 - 5 = 36\nStep 3: 648 + 36 = 655"],["Step 1: 81 * 8 = 648\nStep (...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1702, \"span_text\": \"Step(...TRUNCATED)
"[[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 1: 81 * 8 = 648\", \"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)
75 + 69 + 5
countdown_3arg
countdown
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...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)
original
"{\"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)
["To solve the problem using the numbers [5, 75, 69] to get 149, let's break down the process:\n\n1.(...TRUNCATED)
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{"api_url":"http://10.32.36.243:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 16 }
[ true, true, false, false, false, true, false, false, true, false, false, true, true, true, true, true ]
["Step 1: 75 + 69 = 144\nStep 2: 144 + 5 = 149","5 + 75 + 69 = 149","75 * 2 - 1 = 149","Step 1: 75 -(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
"[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 75 + 69 = 144\\nStep 2: 144 + (...TRUNCATED)
[[true],[true],[false],[false],[false],[true],[false],[false],[true],[false],[false],[true],[true],[(...TRUNCATED)
[["Step 1: 75 + 69 = 144\nStep 2: 144 + 5 = 149"],["5 + 75 + 69 = 149"],["75 * 2 - 1 = 149"],["Step (...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 645, \"span_text\": \"Step (...TRUNCATED)
"[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 75 + 69 = 144\\nStep 2: 144 +(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":9,"pass_at_n":1,"percent(...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 solve problems by thinking step by step. Write out your reasoning then give(...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)
original
"{\"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)
["To solve the problem using the numbers from the list [13, 31, 35] to get 438, let's start by exami(...TRUNCATED)
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{"api_url":"http://10.32.36.243:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 16 }
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["Step 1: 13 * 31 = 403\nStep 2: 403 + 35 = 438","35 * 13 - (31 - 13) = 438","None of the combinatio(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
"[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 13 * 31 = 403\\nStep 2: 403 + (...TRUNCATED)
[[true],[false],[false],[true],[false],[false],[false],[false],[false],[true],[false],[false],[false(...TRUNCATED)
[["Step 1: 13 * 31 = 403\nStep 2: 403 + 35 = 438"],["35 * 13 - (31 - 13) = 438"],["None of the combi(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 669, \"span_text\": \"Step (...TRUNCATED)
"[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 13 * 31 = 403\\nStep 2: 403 +(...TRUNCATED)
{"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)
11*(87 - 72)
countdown_3arg
countdown
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...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)
original
"{\"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)
["To find an equation using the numbers [11, 72, 87] that equals 165, we need to consider combinatio(...TRUNCATED)
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{"api_url":"http://10.32.36.243:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 16 }
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["87 + 72 + 11 - 11","72 + 87 - 11 = 165","Step 1: Start with 72.\nStep 2: Add 87 to 72 to get 159.\(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
"[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED)
[[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[fa(...TRUNCATED)
[["87 + 72 + 11 - 11"],["72 + 87 - 11 = 165"],["Step 1: Start with 72.\nStep 2: Add 87 to 72 to get (...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1655, \"span_text\": \"87 +(...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":0,"pass_at_n":0,"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 solve problems by thinking step by step. Write out your reasoning then give(...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)
original
"{\"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)
["<answer>\nStep 1: Start with the number 52.\nStep 2: Multiply 52 by 2 (since we need to get close (...TRUNCATED)
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{"api_url":"http://10.32.36.243:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 16 }
[ false, true, false, true, true, true, true, true, true, true, true, true, true, true, true, true ]
["52 * 2 + 36 - 2","52 + 36 + 50 = 138","Step 1: 138 - 52 = 86\nStep 2: 86 - 36 = 50","52 + 36 + 50 (...TRUNCATED)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 2, \"non_overlapping_spans\": 2, \"span_st(...TRUNCATED)
"[{\"is_correct\": false, \"error\": \"Expression uses an unavailable or repeated number\", \"answer(...TRUNCATED)
[[false,false],[true],[false],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],(...TRUNCATED)
[["Step 1: Start with the number 52.\nStep 2: Multiply 52 by 2 (since we need to get close to 138 an(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 8, \"span_text\": \"Step 1:(...TRUNCATED)
"[[{\"is_correct\": false, \"error\": \"Could not evaluate line: Step 2: Multiply 52 by 2 (since we (...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":14,"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 solve problems by thinking step by step. Write out your reasoning then give(...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)
original
"{\"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)
["To achieve the target number 450 using the numbers 4, 94, and 5 exactly once, we need to consider (...TRUNCATED)
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["94 * 5 - 4 * 5 = 450","(94 - 4) * 5","Step 1: 94 * 5 = 470\nStep 2: 470 - (4 * 5) = 450","94 * 5 -(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
"[{\"is_correct\": false, \"error\": \"Expression uses an unavailable or repeated number\", \"answer(...TRUNCATED)
[[false],[true],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[fal(...TRUNCATED)
[["94 * 5 - 4 * 5 = 450"],["(94 - 4) * 5"],["Step 1: 94 * 5 = 470\nStep 2: 470 - (4 * 5) = 450"],["9(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1765, \"span_text\": \"94 *(...TRUNCATED)
"[[{\"is_correct\": false, \"error\": \"Expression uses an unavailable or repeated number\", \"answe(...TRUNCATED)
{"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)
94 - 18 + 49
countdown_3arg
countdown
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...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)
original
"{\"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)
["To solve the problem using the numbers in the list [18, 94, 49] to get 125, we need to consider al(...TRUNCATED)
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{"api_url":"http://10.32.36.243:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 16 }
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["Step 1: 94 + 49 = 143\nStep 2: 143 - 18 = 125","94 - 18 + 49 = 125","Step 1: 94 - 18 = 76\nStep 2:(...TRUNCATED)
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"[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 94 + 49 = 143\\nStep 2: 143 - (...TRUNCATED)
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26*20 + 95
countdown_3arg
countdown
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["Step 1: 26 * 20 = 520\nStep 2: 520 + 95 = 615","Step 1: 20 * 26 = 520\nStep 2: 520 + 95 = 615","(2(...TRUNCATED)
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["95 * 6 + 26 - 20 = 615","Step 1: Multiply 20 by 26 to get 520.\nStep 2: Add 95 to 520 to get 615."(...TRUNCATED)
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[["Step 1: 95 * 6 = 570\nStep 2: 570 + 26 = 596\nStep 3: 596 + 19 = 615\n(Note: 19 is derived from 2(...TRUNCATED)
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