{"database": "grpo-gsm8k-train", "table": "results", "rows": [[31, "grpo-gsm8k-train-13ep-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. Therefore, we can write:\n   \\[\n   \\frac{D}{A} = \\frac{7}{11}\n   \\]\n\n2. **Set up the equation:**\n   We also know that the sum of their ages is 162:\n   \\[\n   D + A = 162\n   \\]\n\n3. **Express one variable in terms of the other:**\n   From the ratio, we can express \\( D \\) in terms of \\( A \\):\n   \\[\n   D = \\frac{7}{11}A\n   \\]\n\n4. **Substitute into the sum equation:**\n   Substitute \\( D = \\frac{7}{11}A \\) into \\( D + A = 162 \\):\n   \\[\n   \\frac{7}{11}A + A = 162\n   \\]\n\n5. **Combine like terms:**\n   To combine the terms on the left side, we need a common denominator:\n   \\[\n   \\frac{7A + 11A}{11} = 162\n   \\]\n   \\[\n   \\frac{18A}{11} = 162\n   \\]\n\n6. **Solve for \\( A \\):**\n   Multiply both sides by 11 to clear the fraction:\n   \\[\n   18A = 162 \\times 11\n   \\]\n   \\[\n   18A = 1782\n   \\]\n   Divide both sides by 18:\n   \\[\n   A = \\frac{1782}{18}\n   \\]\n   \\[\n   A = 99\n   \\]\n\n7. **Find Darrell's current age:**\n   Using \\( D = \\frac{7}{11}A \\):\n   \\[\n   D = \\frac{7}{11} \\times 99\n   \\]\n   \\[\n   D = 63\n   \\]\n\n8. **Calculate Allen's age 10 years from now:**\n   \\[\n   A_{\\text{10 years later}} = A + 10\n   \\]\n   \\[\n   A_{\\text{10 years later}} = 99 + 10\n   \\]\n   \\[\n   A_{\\text{10 years later}} = 109\n   \\]\n\nTherefore, 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": 0.5991817452013493}