{"database": "grpo-gsm8k-test", "table": "results", "rows": [[14, "grpo-gsm8k-test-30ep-success_global_step_50", "gsm8k_main(0)", "13", "Question: Melanie is a door-to-door saleswoman. She sold a third of her vacuum cleaners at the green house, 2 more to the red house, and half of what was left at the orange house. If Melanie has 5 vacuum cleaners left, how many did she start with?\nAnswer:", "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nOutput format: end your response with \\boxed{<answer>} where <answer> is the final answer.\n\nQuestion: Melanie is a door-to-door saleswoman. She sold a third of her vacuum cleaners at the green house, 2 more to the red house, and half of what was left at the orange house. If Melanie has 5 vacuum cleaners left, how many did she start with?\nAnswer:<|im_end|>\n<|im_start|>assistant\n", "18", 1, "[18]", "[stop:-]", "To determine how many vacuum cleaners Melanie started with, we need to work backwards from the information given. Let's denote the total number of vacuum cleaners Melanie started with as \\( x \\).\n\n1. After selling a third of her vacuum cleaners at the green house, she has \\( \\frac{2}{3}x \\) vacuum cleaners left.\n2. She then sold 2 more vacuum cleaners at the red house, so she has \\( \\frac{2}{3}x - 2 \\) vacuum cleaners left.\n3. After selling half of what was left at the orange house, she has \\( \\frac{1}{2} \\left( \\frac{2}{3}x - 2 \\right) \\) vacuum cleaners left, which is given to be 5.\n\nSo, we can set up the equation:\n\\[ \\frac{1}{2} \\left( \\frac{2}{3}x - 2 \\right) = 5 \\]\n\nTo solve for \\( x \\), we first eliminate the fraction by multiplying both sides of the equation by 2:\n\\[ \\frac{2}{3}x - 2 = 10 \\]\n\nNext, we isolate the term involving \\( x \\) by adding 2 to both sides:\n\\[ \\frac{2}{3}x = 12 \\]\n\nTo solve for \\( x \\), we multiply both sides by \\( \\frac{3}{2} \\):\n\\[ x = 12 \\times \\frac{3}{2} = 18 \\]\n\nTherefore, Melanie started with \\(\\boxed{18}\\) vacuum cleaners."]], "columns": ["id", "model_name", "task_name", "sample_id", "prompt_actual", "prompt_full", "gold_answer", "is_correct", "extracted_answers", "stop_reasons", "response_1"], "primary_keys": ["id"], "primary_key_values": ["14"], "units": {}, "query_ms": 8.841803763061762}