prompt stringlengths 195 3.01k | vanilla_response stringlengths 1 74.8k | question stringlengths 16 2.83k | answer stringlengths 2 3.48k | question_id int64 0 2.59k | generation_id int64 0 255 | response stringlengths 1 74.8k | label bool 2
classes | gold_answer stringlengths 1 47 | pred_answer stringlengths 0 15.9k |
|---|---|---|---|---|---|---|---|---|---|
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a 9-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of \( s \) kilometers per hour, the walk takes her 4 hours, including \( t \) minutes spent in the coffee shop. When she walks \( s+2 \) kilometers per hour, the walk takes her 2 hours and 24 min... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 0 | Every morning Aya goes for a 9-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of \( s \) kilometers per hour, the walk takes her 4 hours, including \( t \) minutes spent in the coffee shop. When she walks \( s+2 \) kilometers per hour, the walk takes her 2 hours and 24 min... | false | 204 | 216 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's break down the problem step by step. We need to find the time Aya spends walking and in the coffee shop when she walks at a speed of \(s + \frac{1}{2}\) kilometers per hour. Here's the plan:
1. First, we'll find the value of \(s\) using the information given.
2. We'll use the value of \(s\) to find \(t\).
3. Fin... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 1 | Let's break down the problem step by step. We need to find the time Aya spends walking and in the coffee shop when she walks at a speed of \(s + \frac{1}{2}\) kilometers per hour. Here's the plan:
1. First, we'll find the value of \(s\) using the information given.
2. We'll use the value of \(s\) to find \(t\).
3. Fin... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | l
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... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 2 | l
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... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\) first. Let's break down the problem into manageable steps:
1. **Set up the equations for the walk times:**
- When Aya walks at \(s\) km/h, the total time (including the coffee shop) is 4 hours. So, the walking time is \(4 - \frac{t}{60}\) hour... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 3 | To solve this problem, we need to determine the value of \(s\) and \(t\) first. Let's break down the problem into manageable steps:
1. **Set up the equations for the walk times:**
- When Aya walks at \(s\) km/h, the total time (including the coffee shop) is 4 hours. So, the walking time is \(4 - \frac{t}{60}\) hour... | false | 204 | 360 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop, \(t\).
First, let's find the value of \(s\) using the given information. We know that when Aya walks at a speed of \(s\) kilomete... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 4 | To solve the problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop, \(t\).
First, let's find the value of \(s\) using the given information. We know that when Aya walks at a speed of \(s\) kilomete... | false | 204 | 306 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's break down the problem step by step and use Python code to solve it accurately.
1. **Understanding the Problem:**
- When Aya walks at a speed of \(s\) km/h, her walking time is 4 hours minus the time spent in the coffee shop \(t\) minutes.
- When Aya walks at a speed of \(s + 2\) km/h, her walking time is ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 5 | Let's break down the problem step by step and use Python code to solve it accurately.
1. **Understanding the Problem:**
- When Aya walks at a speed of \(s\) km/h, her walking time is 4 hours minus the time spent in the coffee shop \(t\) minutes.
- When Aya walks at a speed of \(s + 2\) km/h, her walking time is ... | false | 204 | 135 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up a system of equations.
1. When Aya walks at a speed of \(s\) km/h, the walk takes her 4 hours including \(t\) minutes in the coffee shop. Therefore, the actual walking time is \(4 - \frac{t}{60}\)... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 6 | To solve the problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up a system of equations.
1. When Aya walks at a speed of \(s\) km/h, the walk takes her 4 hours including \(t\) minutes in the coffee shop. Therefore, the actual walking time is \(4 - \frac{t}{60}\)... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up equations and solve for these variables.
1. When Aya walks at \(s\) kilometers per hour, the walk takes her 4 hours in total, including \(t\) minutes spent in the coffee shop. Therefore, the walki... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 7 | To solve the problem, we need to determine the values of \(s\) and \(t\) first. We can use the given information to set up equations and solve for these variables.
1. When Aya walks at \(s\) kilometers per hour, the walk takes her 4 hours in total, including \(t\) minutes spent in the coffee shop. Therefore, the walki... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of $s$ and $t$ first. We know the following:
1. When Aya walks at a speed of $s$ km/h, the total time taken is $4$ hours, including $t$ minutes in the coffee shop. So the walking time is $4 - \frac{t}{60}$ hours.
2. When Aya walks at a speed of $s+2$ km/h, the tot... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 8 | To solve this problem, we need to determine the values of $s$ and $t$ first. We know the following:
1. When Aya walks at a speed of $s$ km/h, the total time taken is $4$ hours, including $t$ minutes in the coffee shop. So the walking time is $4 - \frac{t}{60}$ hours.
2. When Aya walks at a speed of $s+2$ km/h, the tot... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to find the values of \(s\) and \(t\) first. We can use the information given in the problem to set up a system of equations.
1. When Aya walks at a speed of \(s\) km/h, her walking time is 4 hours minus \(t\) minutes (which is \(\frac{t}{60}\) hours). The total distance is 9 km. So, we c... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 9 | To solve the problem, we need to find the values of \(s\) and \(t\) first. We can use the information given in the problem to set up a system of equations.
1. When Aya walks at a speed of \(s\) km/h, her walking time is 4 hours minus \(t\) minutes (which is \(\frac{t}{60}\) hours). The total distance is 9 km. So, we c... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Let's solve the problem step by step.
1. **Understand the Problem:**
- When Aya walks at speed \(s\) km/h, her total time (including the time spent in the coffee shop) is 4 hours.
- When Aya walks at speed \(s+2\) km/h, her total time (including the time spent in the coffee shop) is 2 hours and 24 minutes, which... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 10 | Let's solve the problem step by step.
1. **Understand the Problem:**
- When Aya walks at speed \(s\) km/h, her total time (including the time spent in the coffee shop) is 4 hours.
- When Aya walks at speed \(s+2\) km/h, her total time (including the time spent in the coffee shop) is 2 hours and 24 minutes, which... | false | 204 | 300 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\), and then use these values to find out how long the walk takes when Aya walks at a speed of \(s + \frac{1}{2}\) kilometers per hour.
### Step-by-Step Solution:
1. **Set Up the Equations:**
- When Aya walks at \(s\) km/h, the total time (inclu... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 11 | To solve this problem, we need to determine the value of \(s\) and \(t\), and then use these values to find out how long the walk takes when Aya walks at a speed of \(s + \frac{1}{2}\) kilometers per hour.
### Step-by-Step Solution:
1. **Set Up the Equations:**
- When Aya walks at \(s\) km/h, the total time (inclu... | false | 204 | 330 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\) first. We can then use these values to find out how long it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
### Step-by-Step Solution
1. **Formulate the ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 12 | To solve this problem, we need to determine the value of \(s\) and \(t\) first. We can then use these values to find out how long it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
### Step-by-Step Solution
1. **Formulate the ... | false | 204 | 360 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 13 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 14 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 15 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the values of \(s\) and \(t\) using the given information. We can then use these values to find out how long it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps:
1. Write the... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 16 | To solve the problem, we need to determine the values of \(s\) and \(t\) using the given information. We can then use these values to find out how long it takes Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
Here are the steps:
1. Write the... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve the problem, we need to determine the value of \(s\) and \(t\) first. Let's break down the problem into manageable parts:
1. **Set up the equations based on the given information:**
- When Aya walks at \(s\) km/h, the walk takes 4 hours in total, including \(t\) minutes in the coffee shop.
- When Aya wa... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 17 | To solve the problem, we need to determine the value of \(s\) and \(t\) first. Let's break down the problem into manageable parts:
1. **Set up the equations based on the given information:**
- When Aya walks at \(s\) km/h, the walk takes 4 hours in total, including \(t\) minutes in the coffee shop.
- When Aya wa... | false | 204 | 450 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to find the value of \(s\) first. We know the following:
1. When Aya walks at \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours.
2. When Aya walks at \(s + 2\) km/h, the total time (including the time spent in the coffee shop) is 2 hours and 24 minutes (... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 18 | To solve this problem, we need to find the value of \(s\) first. We know the following:
1. When Aya walks at \(s\) km/h, the total time (including the time spent in the coffee shop) is 4 hours.
2. When Aya walks at \(s + 2\) km/h, the total time (including the time spent in the coffee shop) is 2 hours and 24 minutes (... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of $s$ and $t$ first. Let's break down the problem into manageable parts and use Python and sympy to solve it.
1. **Understand the problem:**
- When Aya walks at a speed of $s$ km/h, the total time taken for the walk and the coffee shop visit is 4 hours. The wa... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 19 | To solve this problem, we need to determine the values of $s$ and $t$ first. Let's break down the problem into manageable parts and use Python and sympy to solve it.
1. **Understand the problem:**
- When Aya walks at a speed of $s$ km/h, the total time taken for the walk and the coffee shop visit is 4 hours. The wa... | false | 204 | 60 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) (Aya's walking speed in kilometers per hour) and then use it to find the time it takes her to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
First, we can set up the equations ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 20 | To solve this problem, we need to determine the value of \(s\) (Aya's walking speed in kilometers per hour) and then use it to find the time it takes her to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the \(t\) minutes spent in the coffee shop.
First, we can set up the equations ... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break down the problem step by step.
1. **Define the Variables:**
- \(s\) is the walking speed in kilometers per hour.
- \(t\) is the time spent in the coffee shop in minutes.
- The total walking distance is 9 kilometers.
2. **F... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 21 | To solve this problem, we need to determine the values of \(s\) and \(t\). Let's break down the problem step by step.
1. **Define the Variables:**
- \(s\) is the walking speed in kilometers per hour.
- \(t\) is the time spent in the coffee shop in minutes.
- The total walking distance is 9 kilometers.
2. **F... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 22 | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | false | 204 | |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of \(s\) and \(t\) first. Here are the steps:
1. **Determine the walking speed and time**:
- When Aya walks at \(s\) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. The walking time is therefore \(4 - \frac{t}{60}\) hours, and the ... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 23 | To solve this problem, we need to determine the values of \(s\) and \(t\) first. Here are the steps:
1. **Determine the walking speed and time**:
- When Aya walks at \(s\) km/h, the total time taken for the walk and the coffee shop visit is 4 hours. The walking time is therefore \(4 - \frac{t}{60}\) hours, and the ... | false | 204 | 216 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop. We are given the following information:
1. When Aya walks at a speed of \(s\) kilometers per hour, the total time (including the... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 24 | To solve this problem, we need to determine the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop. We are given the following information:
1. When Aya walks at a speed of \(s\) kilometers per hour, the total time (including the... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, let's break it down step by step:
1. **Determine the walking time without the coffee shop:**
- When Aya walks at a speed of \(s\) km/h, the walk takes 4 hours including \(t\) minutes in the coffee shop. Therefore, the actual walking time is \(4 - \frac{t}{60}\) hours.
- When Aya walks at a... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 25 | To solve this problem, let's break it down step by step:
1. **Determine the walking time without the coffee shop:**
- When Aya walks at a speed of \(s\) km/h, the walk takes 4 hours including \(t\) minutes in the coffee shop. Therefore, the actual walking time is \(4 - \frac{t}{60}\) hours.
- When Aya walks at a... | true | 204 | 204 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the value of \(s\) and \(t\) using the given information, and then calculate the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
1. **Determine the value of \(s\):**
When Aya w... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 26 | To solve this problem, we need to determine the value of \(s\) and \(t\) using the given information, and then calculate the time it takes for Aya to walk 9 kilometers at a speed of \(s + \frac{1}{2}\) kilometers per hour, including the time spent in the coffee shop.
1. **Determine the value of \(s\):**
When Aya w... | false | 204 | 342 |
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks... | To solve this problem, we need to determine the values of $s$ and $t$ first. We can use the information given to set up equations.
1. When Aya walks at a speed of $s$ km/h, the total time taken (including the time spent in the coffee shop) is 4 hours. The time spent walking is $\frac{9}{s}$ hours, so the time spent in... | Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | 204 | 0 | 27 | To solve this problem, we need to determine the values of $s$ and $t$ first. We can use the information given to set up equations.
1. When Aya walks at a speed of $s$ km/h, the total time taken (including the time spent in the coffee shop) is 4 hours. The time spent walking is $\frac{9}{s}$ hours, so the time spent in... | true | 204 | 204 |
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