prompt stringlengths 195 3.01k | vanilla_response stringlengths 1 193k | question stringlengths 16 2.83k | answer stringlengths 2 3.48k | question_id int64 0 2.67k | generation_id int64 0 255 | response stringlengths 1 193k | label bool 2
classes | gold_answer stringlengths 1 47 | pred_answer stringlengths 0 16.6k |
|---|---|---|---|---|---|---|---|---|---|
<|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 | 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 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 at a speed of $s+2$ kilometers per hour, the walk takes her 2 hours and 24 m... | 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 | 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 at a speed of $s+2$ kilometers per hour, the walk takes her 2 hours and 24 m... | 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 | 2 | 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 value of \(s\) and \(t\) first. We can use the given information to set up equations.
1. 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 time taken for the walk is \(\frac{9}{s}\) hours, and the time spe... | 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 the problem, we need to determine the value of \(s\) and \(t\) first. We can use the given information to set up equations.
1. 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 time taken for the walk is \(\frac{9}{s}\) hours, and the time spe... | 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 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 | 4 | 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... | 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 \(t\). We can use the information given to set up equations and solve for these variables.
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 walking time is \(\frac{9}{s}\) ho... | 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 | To solve the problem, we need to determine the values of \(s\) and \(t\). We can use the information given to set up equations and solve for these variables.
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 walking time is \(\frac{9}{s}\) ho... | false | 204 | 351 |
<|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 | 6 | 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 | \frac{1332}{7} |
<|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 | 7 | 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 | 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 values of \(s\) and \(t\) from the given information, and then use these values to find the time 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.
Let's break down the problem int... | 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 the problem, we need to determine the values of \(s\) and \(t\) from the given information, and then use these values to find the time 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.
Let's break down the problem int... | false | 204 | 36 |
<|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 \(t\) spent in the coffee shop.
First, let's establish the equations for the two given scenarios:
1. When Aya walks at a speed of \(s\) kilometers per ho... | 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 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 \(t\) spent in the coffee shop.
First, let's establish the equations for the two given scenarios:
1. When Aya walks at a speed of \(s\) kilometers per ho... | 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... | 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, includ... | 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 | 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, includ... | 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 values of \(s\) and \(t\). Here are the steps to solve it:
1. **Set up the equations based on the given information:**
- 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 walk itself takes \(\frac{9}{s... | 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 values of \(s\) and \(t\). Here are the steps to solve it:
1. **Set up the equations based on the given information:**
- 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 walk itself takes \(\frac{9}{s... | 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... | We will start by determining the value of \(s\) and \(t\). Given the information from the problem, we can set up the following equations based on the walking speeds and the total time taken for the walk including the time spent in the coffee shop.
1. When Aya walks at \(s\) km/h, the total time taken is \(4\) hours, i... | 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 | We will start by determining the value of \(s\) and \(t\). Given the information from the problem, we can set up the following equations based on the walking speeds and the total time taken for the walk including the time spent in the coffee shop.
1. When Aya walks at \(s\) km/h, the total time taken is \(4\) hours, i... | 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 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 will use the information given to find the values of \(s\) and \(t\).
1. First, we know that when Aya walks at a speed of \(s... | 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 | 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 will use the information given to find the values of \(s\) and \(t\).
1. First, we know that when Aya walks at a speed of \(s... | 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 this problem, we need to determine the value of \( s \) and \( t \) from the given information and then calculate the time 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.
Let's break it down step by step:
1. **Formulate t... | 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 | To solve this problem, we need to determine the value of \( s \) and \( t \) from the given information and then calculate the time 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.
Let's break it down step by step:
1. **Formulate t... | 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... | Let's break down the problem step by step.
1. **Understand the given information:**
- 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.
- When Aya walks at a speed of \(s+2\) km/h, the total time taken (including the time spent in the coffee s... | 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 | Let's break down the problem step by step.
1. **Understand the given information:**
- 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.
- When Aya walks at a speed of \(s+2\) km/h, the total time taken (including the time spent in the coffee s... | false | 204 | 276 |
<|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 Aya spends walking at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the time spent in the coffee shop.
First, let's set up the equations based on the information given:
1. When Aya walks at a speed of \( s \) kilometers per hour, the walk takes he... | 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 this problem, we need to determine the time Aya spends walking at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the time spent in the coffee shop.
First, let's set up the equations based on the information given:
1. When Aya walks at a speed of \( s \) kilometers per hour, the walk takes he... | 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 start by setting up the equations based on the given information.
1. When Aya walks at a speed of \(s\) km/h, her walking time is 4 hours minus \(t\) minutes. Since \(t\) minutes is \(\frac{t}{60}\) hours, the walking time is \(4 - \frac{... | 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 this problem, we need to determine the values of \(s\) and \(t\). Let's start by setting up the equations based on the given information.
1. When Aya walks at a speed of \(s\) km/h, her walking time is 4 hours minus \(t\) minutes. Since \(t\) minutes is \(\frac{t}{60}\) hours, the walking time is \(4 - \frac{... | 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
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 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 | 18 | every
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 a... | false | 204 | 3.60000000000000 |
<|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 use those values to find the time it takes for 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.
1. **Convert the time to ho... | 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 value of \(s\) and \(t\) using the given information, and then use those values to find the time it takes for 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.
1. **Convert the time to ho... | 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. **Define the Variables:**
- \( s \) is Aya's 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. **Formulate the Equations:**
- When Aya walks at \( s \... | 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, let's break it down step by step.
1. **Define the Variables:**
- \( s \) is Aya's 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. **Formulate the Equations:**
- When Aya walks at \( s \... | 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... | 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 \( s+2 \) kilometers per hour, the walk takes her 2 hours and ... | 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 | 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 \( s+2 \) kilometers per hour, the walk takes her 2 hours and ... | 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... | Let's break down the problem step by step. We need to find the value of \( t \) first, and then use it to determine the time taken when Aya walks at \( s + \frac{1}{2} \) kilometers per hour.
1. **Determine the walking speed and time:**
- When Aya walks at \( s \) kilometers per hour, the walk takes her 4 hours, 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 | 22 | Let's break down the problem step by step. We need to find the value of \( t \) first, and then use it to determine the time taken when Aya walks at \( s + \frac{1}{2} \) kilometers per hour.
1. **Determine the walking speed and time:**
- When Aya walks at \( s \) kilometers per hour, the walk takes her 4 hours, in... | 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... | We are given the following information:
1. When Aya walks at a constant speed of \(s\) kilometers per hour, the walk takes her 4 hours, including \(t\) minutes spent in the coffee shop.
2. When she walks at a speed of \(s+2\) kilometers per hour, the walk takes her 2 hours and 24 minutes, including \(t\) minutes spent ... | 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 | We are given the following information:
1. When Aya walks at a constant speed of \(s\) kilometers per hour, the walk takes her 4 hours, including \(t\) minutes spent in the coffee shop.
2. When she walks at a speed of \(s+2\) kilometers per hour, the walk takes her 2 hours and 24 minutes, including \(t\) minutes spent ... | 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 \(t\) 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.
Here are the steps:
1. **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 | 24 | To solve this problem, we need to determine the values 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.
Here are the steps:
1. **Set up the equations:**
... | false | 204 | 64 |
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