{"database": "grpo-gsm8k-test", "table": "results", "rows": [[31, "grpo-gsm8k-test-30ep-success_global_step_50", "gsm8k_main(0)", "30", "Question: Darrell and Allen's ages are in the ratio of 7:11. If their total age now is 162, calculate Allen's age 10 years from now.\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: Darrell and Allen's ages are in the ratio of 7:11. If their total age now is 162, calculate Allen's age 10 years from now.\nAnswer:<|im_end|>\n<|im_start|>assistant\n", "109", 1, "[109]", "[stop:-]", "To solve this problem, we need to determine the current ages of Darrell and Allen, and then calculate their ages 10 years from now.\n\n1. **Define the variables:**\n   Let \\( D \\) be Darrell's current age and \\( A \\) be Allen's current age. According to the problem, the ratio of their ages is 7:11, so we can write:\n   \\[\n   \\frac{D}{A} = \\frac{7}{11}\n   \\]\n   This implies:\n   \\[\n   D = \\frac{7}{11}A\n   \\]\n\n2. **Set up the equation for their total age:**\n   The sum of their current ages is 162:\n   \\[\n   D + A = 162\n   \\]\n   Substitute \\( D = \\frac{7}{11}A \\) into the equation:\n   \\[\n   \\frac{7}{11}A + A = 162\n   \\]\n   Combine the terms on the left side:\n   \\[\n   \\frac{7A + 11A}{11} = 162\n   \\]\n   Simplify the numerator:\n   \\[\n   \\frac{18A}{11} = 162\n   \\]\n   Solve for \\( A \\):\n   \\[\n   18A = 162 \\times 11\n   \\]\n   \\[\n   18A = 1782\n   \\]\n   \\[\n   A = \\frac{1782}{18}\n   \\]\n   \\[\n   A = 99\n   \\]\n\n3. **Calculate Darrell's current age:**\n   Using \\( D = \\frac{7}{11}A \\):\n   \\[\n   D = \\frac{7}{11} \\times 99\n   \\]\n   \\[\n   D = 7 \\times 9\n   \\]\n   \\[\n   D = 63\n   \\]\n\n4. **Calculate Allen's age 10 years from now:**\n   Allen's current age is 99, so 10 years from now:\n   \\[\n   A_{\\text{future}} = 99 + 10 = 109\n   \\]\n\nThus, Allen's age 10 years from now is \\(\\boxed{109}\\)."]], "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": ["31"], "units": {}, "query_ms": 8.96773999556899}