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88 grpo-gsm8k-test-30ep-success_global_step_50 gsm8k_main(0) 87 Question: A company pays each of its employees $600 in a month. The company has a policy of increasing the salaries of each of its employees by 10% of the initial salary every year for those who've stayed in the company for five years. If Sylvie just clocked 5 years in the company last December, what's her annual salary after three more years of service? 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 company pays each of its employees $600 in a month. The company has a policy of increasing the salaries of each of its employees by 10% of the initial salary every year for those who've stayed in the company for five years. If Sylvie just clocked 5 years in the company last December, what's her annual salary after three more years of service? Answer:<|im_end|> <|im_start|>assistant 9360 0 [1280] [stop:-] To determine Sylvie's annual salary after three more years of service, we need to follow these steps: 1. **Initial Salary**: The initial salary of each employee is $600. 2. **Annual Increase**: The company increases the salary by 10% of the initial salary every year. 3. **Salary After 5 Years**: We need to calculate the salary after 5 years of service. The formula for the salary after \( n \) years is: \[ \text{Salary after } n \text{ years} = \text{Initial Salary} \times (1 + 0.10)^n \] Plugging in the values: \[ \text{Salary after 5 years} = 600 \times (1 + 0.10)^5 \] \[ \text{Salary after 5 years} = 600 \times (1.10)^5 \] Calculating \( (1.10)^5 \): \[ (1.10)^5 \approx 1.61051 \] Therefore: \[ \text{Salary after 5 years} = 600 \times 1.61051 \approx 966.31 \] 4. **Salary After 8 Years**: Now, we need to calculate the salary after another 3 years of service. The formula for the salary after \( n \) more years is: \[ \text{Salary after } n \text{ more years} = \text{Salary after 5 years} \times (1 + 0.10)^n \] Plugging in the values: \[ \text{Salary after 8 years} = 966.31 \times (1.10)^3 \] Calculating \( (1.10)^3 \): \[ (1.10)^3 \approx 1.331 \] Therefore: \[ \text{Salary after 8 years} = 966.31 \times 1.331 \approx 1280.00 \] Thus, Sylvie's annual salary after three more years of service is \(\boxed{1280}\).
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