results: 98

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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
98 grpo-gsm8k-test-30ep-success_global_step_50 gsm8k_main(0) 97 Question: When Freda cooks canned tomatoes into sauce, they lose half their volume. Each 16 ounce can of tomatoes that she uses contains three tomatoes. Freda’s last batch of tomato sauce made 32 ounces of sauce. How many tomatoes did Freda use? 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: When Freda cooks canned tomatoes into sauce, they lose half their volume. Each 16 ounce can of tomatoes that she uses contains three tomatoes. Freda’s last batch of tomato sauce made 32 ounces of sauce. How many tomatoes did Freda use? Answer:<|im_end|> <|im_start|>assistant 12 1 [12] [stop:-] To determine how many tomatoes Freda used, we need to follow these steps: 1. **Understand the volume loss**: Each can of tomatoes loses half its volume when cooked into sauce. This means that for every 16 ounces of tomatoes, the sauce produced is 16 / 2 = 8 ounces. 2. **Calculate the total volume of tomatoes used**: Freda's last batch of tomato sauce was 32 ounces. Since each can of tomatoes produces 8 ounces of sauce, we can find the total volume of tomatoes used by dividing the total volume of sauce by the volume of sauce produced per can: \[ \text{Total volume of tomatoes} = \frac{\text{Total volume of sauce}}{\text{Volume of sauce per can}} = \frac{32 \text{ ounces}}{8 \text{ ounces per can}} = 4 \text{ cans} \] 3. **Determine the number of tomatoes per can**: Each can contains 3 tomatoes. 4. **Calculate the total number of tomatoes used**: Multiply the number of cans by the number of tomatoes per can: \[ \text{Total number of tomatoes} = \text{Number of cans} \times \text{Tomatoes per can} = 4 \text{ cans} \times 3 \text{ tomatoes per can} = 12 \text{ tomatoes} \] Thus, Freda used \(\boxed{12}\) tomatoes.