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id model_name task_name sample_id prompt_actual prompt_full gold_answer is_correct extracted_answers stop_reasons response_1
85 Qwen_Qwen2.5-1.5B-Instruct gsm8k_main(0) 84 Question: A football team played 22 games. They won 8 more than they lost. How many did they win? Answer: <|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Output format: end your response with \boxed{<answer>} where <answer> is the final answer. Question: A football team played 22 games. They won 8 more than they lost. How many did they win? Answer:<|im_end|> <|im_start|>assistant 15 1 [15] [stop:-] To solve this problem, we can set up an equation based on the information given. Let's denote the number of games the team lost as \( L \). Since they won 8 more games than they lost, the number of games they won can be represented as \( W = L + 8 \). We also know that the total number of games played is 22, so we can write the equation: \[ W + L = 22 \] Substituting \( W \) with \( L + 8 \) in the equation, we get: \[ (L + 8) + L = 22 \] Simplifying this equation: \[ 2L + 8 = 22 \] Subtract 8 from both sides: \[ 2L = 14 \] Divide both sides by 2: \[ L = 7 \] Now that we know the team lost 7 games, we can find out how many they won: \[ W = L + 8 = 7 + 8 = 15 \] So, the team won 15 games. The final answer is \(\boxed{15}\).
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