{"database": "grpo-gsm8k-test", "table": "results", "rows": [[79, "grpo-gsm8k-test-30ep-success_global_step_50", "gsm8k_main(0)", "78", "Question: Vincent can buy flowers in packages of 3 for $2.50 or in packages of 2 for $1. How much money does he save by buying 18 flowers at the better price?\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: Vincent can buy flowers in packages of 3 for $2.50 or in packages of 2 for $1. How much money does he save by buying 18 flowers at the better price?\nAnswer:<|im_end|>\n<|im_start|>assistant\n", "6", 1, "[6]", "[stop:-]", "To determine how much money Vincent saves by buying 18 flowers at the better price, we need to calculate the cost of buying 18 flowers in both the package of 3 flowers for $2.50 and the package of 2 flowers for $1, and then find the difference between these two costs.\n\nFirst, let's calculate the cost of buying 18 flowers in packages of 3 flowers:\n- Number of packages of 3 flowers needed: \\( \\frac{18}{3} = 6 \\)\n- Cost of 6 packages of 3 flowers: \\( 6 \\times 2.50 = 15 \\) dollars\n\nNext, let's calculate the cost of buying 18 flowers in packages of 2 flowers:\n- Number of packages of 2 flowers needed: \\( \\frac{18}{2} = 9 \\)\n- Cost of 9 packages of 2 flowers: \\( 9 \\times 1 = 9 \\) dollars\n\nNow, we find the difference between the two costs to determine how much Vincent saves:\n- Savings: \\( 15 - 9 = 6 \\) dollars\n\nTherefore, Vincent saves \\(\\boxed{6}\\) dollars by buying 18 flowers at the better price."]], "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": ["79"], "units": {}, "query_ms": 1.4047939330339432}