prompt stringlengths 195 3.01k | vanilla_response stringlengths 35 75.4k | question stringlengths 16 2.83k | answer stringlengths 2 3.48k | question_id int64 0 3.19k | generation_id int64 0 255 | response stringlengths 35 75.4k | label bool 2
classes | gold_answer stringlengths 1 47 | pred_answer stringlengths 0 66.3k |
|---|---|---|---|---|---|---|---|---|---|
<|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 will break it down into steps.
## Step 1: Define the variables
Let's define the variables:
- $s$ as Aya's constant speed in kilometers per hour when walking alone.
- $t$ as the time in minutes Aya spends in the coffee shop.
- $s + \frac{1}{2}$ as the speed in kilometers per hour when Aya walk... | 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 | To solve this problem, we will break it down into steps.
## Step 1: Define the variables
Let's define the variables:
- $s$ as Aya's constant speed in kilometers per hour when walking alone.
- $t$ as the time in minutes Aya spends in the coffee shop.
- $s + \frac{1}{2}$ as the speed in kilometers per hour when Aya walk... | false | 204 | 292 |
<|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 break it down into steps.
## Step 1: First, let's establish the relationship between the distance, speed, and time for Aya's walk.
The distance of the walk is given as 9 kilometers. We have two scenarios with different speeds and times, which will allow us to create equations to solve... | 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 | To solve this problem, we need to break it down into steps.
## Step 1: First, let's establish the relationship between the distance, speed, and time for Aya's walk.
The distance of the walk is given as 9 kilometers. We have two scenarios with different speeds and times, which will allow us to create equations to solve... | false | 204 | 140.76 |
<|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 first convert all the times to the same units. We are given that the walk takes her 4 hours, including $t$ minutes spent in the coffee shop when she walks at a constant speed of $s$ kilometers per hour. We can convert 4 hours to minutes by multiplying by 60:
\[4\text{ hours}\cdot 60\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 | 2 | To solve this problem, we need to first convert all the times to the same units. We are given that the walk takes her 4 hours, including $t$ minutes spent in the coffee shop when she walks at a constant speed of $s$ kilometers per hour. We can convert 4 hours to minutes by multiplying by 60:
\[4\text{ hours}\cdot 60\t... | false | 204 | 64 |
<|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 into steps.
## Step 1: Understand the problem
We are given that Aya goes for a 9-kilometer-long walk and then stops at a coffee shop. We need to find the time it takes her to walk 9 kilometers at a speed of $s+\frac{1}{2}$ kilometers per hour, including the time spent in 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 | 3 | To solve this problem, let's break it down into steps.
## Step 1: Understand the problem
We are given that Aya goes for a 9-kilometer-long walk and then stops at a coffee shop. We need to find the time it takes her to walk 9 kilometers at a speed of $s+\frac{1}{2}$ kilometers per hour, including the time spent in the... | false | 204 | 214.29 |
<|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 will follow the steps below:
## Step 1: First, we need to establish the relationship between Aya's walking speed and the time she spends walking and at the coffee shop.
Let's denote the time spent walking at the initial speed $s$ as $4 - t/60$ hours, and the time spent walking at the speed $... | 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 this problem, we will follow the steps below:
## Step 1: First, we need to establish the relationship between Aya's walking speed and the time she spends walking and at the coffee shop.
Let's denote the time spent walking at the initial speed $s$ as $4 - t/60$ hours, and the time spent walking at the speed $... | false | 204 | 527 |
<|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 will first need to convert all the given times into minutes.
## Step 1: Convert the time from hours to minutes
We know that 4 hours is equal to 4 * 60 = 240 minutes.
## Step 2: Convert 2 hours and 24 minutes to minutes
We know that 2 hours is equal to 2 * 60 = 120 minutes. Therefore, 2 hours... | 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 this problem, we will first need to convert all the given times into minutes.
## Step 1: Convert the time from hours to minutes
We know that 4 hours is equal to 4 * 60 = 240 minutes.
## Step 2: Convert 2 hours and 24 minutes to minutes
We know that 2 hours is equal to 2 * 60 = 120 minutes. Therefore, 2 hours... | 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'll break it down into steps.
## Step 1: Convert given times to just hours for consistency
First, we need to convert the time given in the second scenario into just hours. 2 hours and 24 minutes is equivalent to $2 + \frac{24}{60} = 2.4$ hours.
## Step 2: Set up equations based on the given 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 | 6 | To solve this problem, we'll break it down into steps.
## Step 1: Convert given times to just hours for consistency
First, we need to convert the time given in the second scenario into just hours. 2 hours and 24 minutes is equivalent to $2 + \frac{24}{60} = 2.4$ hours.
## Step 2: Set up equations based on the given i... | false | 204 | 198 |
<|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 will first convert all the times to just hours and then set up an equation to solve for $t$.
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. Since $t$ is in minutes, we need to convert it to hours. We... | 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 this problem, we will first convert all the times to just hours and then set up an equation to solve for $t$.
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. Since $t$ is in minutes, we need to convert it to hours. We... | false | 204 | 920 |
<|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 can start by setting up equations based on the information given.
Let's denote the time it takes for Aya to walk 9 kilometers at speed $s$ as $t_1$ hours, and the time spent in the coffee shop as $t$ minutes. We can convert $t$ to hours by dividing by 60: $t = \frac{t}{60}$ hours.
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 | 8 | To solve this problem, we can start by setting up equations based on the information given.
Let's denote the time it takes for Aya to walk 9 kilometers at speed $s$ as $t_1$ hours, and the time spent in the coffee shop as $t$ minutes. We can convert $t$ to hours by dividing by 60: $t = \frac{t}{60}$ hours.
When Aya w... | false | 204 | 54 |
<|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'll break it down into steps.
## Step 1: Understand the given problem and define the variables
We are given that Aya walks at a speed of $s$ kilometers per hour and covers a distance of $9$ kilometers. The total time taken for the walk and the time spent in the coffee shop is given as $4$ 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 | 9 | To solve this problem, we'll break it down into steps.
## Step 1: Understand the given problem and define the variables
We are given that Aya walks at a speed of $s$ kilometers per hour and covers a distance of $9$ kilometers. The total time taken for the walk and the time spent in the coffee shop is given as $4$ hour... | false | 204 | 14160 |
<|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 can start by setting up equations based on the information given.
First, let's convert the time spent walking into hours for both scenarios:
- At $s$ kilometers per hour, the walk takes 4 hours, which is $\frac{4}{60} = \frac{1}{15}$ hours longer than the time spent in the coffee shop. So, th... | 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 | To solve this problem, we can start by setting up equations based on the information given.
First, let's convert the time spent walking into hours for both scenarios:
- At $s$ kilometers per hour, the walk takes 4 hours, which is $\frac{4}{60} = \frac{1}{15}$ hours longer than the time spent in the coffee shop. So, th... | false | 204 | 364 |
<|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'll first establish the equations based on the information given and then solve for the unknowns.
Given:
- Aya walks 9 kilometers.
- At speed $s$ km/h, the walk takes 4 hours, including $t$ minutes in the coffee shop.
- At speed $s+2$ km/h, the walk takes 2 hours and 24 minutes, including $t$ ... | 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 | 11 | To solve this problem, we'll first establish the equations based on the information given and then solve for the unknowns.
Given:
- Aya walks 9 kilometers.
- At speed $s$ km/h, the walk takes 4 hours, including $t$ minutes in the coffee shop.
- At speed $s+2$ km/h, the walk takes 2 hours and 24 minutes, including $t$ ... | false | 204 | 5963.5 |
<|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 can start by setting up equations based on the given information.
Let's denote the time it takes for Aya to walk 9 kilometers at speed $s$ as $t_{walk}$ and the time she spends in the coffee shop as $t$. We know that the total time for the walk at speed $s$ is 4 hours, including $t$ minutes 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 | 12 | To solve this problem, we can start by setting up equations based on the given information.
Let's denote the time it takes for Aya to walk 9 kilometers at speed $s$ as $t_{walk}$ and the time she spends in the coffee shop as $t$. We know that the total time for the walk at speed $s$ is 4 hours, including $t$ minutes s... | false | 204 | 14326 |
<|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'll start by setting up equations based on the information given.
Let's denote:
- $s$ as Aya's walking speed in kilometers per hour.
- $t$ as the time spent in the coffee shop in minutes.
From the given information, we have two equations:
1. When Aya walks at a constant 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 | 13 | To solve this problem, we'll start by setting up equations based on the information given.
Let's denote:
- $s$ as Aya's walking speed in kilometers per hour.
- $t$ as the time spent in the coffee shop in minutes.
From the given information, we have two equations:
1. When Aya walks at a constant speed of $s$ kilomete... | false | 204 | 240 |
<|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 first find the value of t, then use it to calculate the time taken for the walk at s + 0.5 km/h.
## Step 1: Set up the equations based on the given information.
When Aya walks at s kilometers per hour, the total time taken is 4 hours, which is equal to 240 minutes. This includes t 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 | 14 | To solve this problem, we need to first find the value of t, then use it to calculate the time taken for the walk at s + 0.5 km/h.
## Step 1: Set up the equations based on the given information.
When Aya walks at s kilometers per hour, the total time taken is 4 hours, which is equal to 240 minutes. This includes t min... | false | 204 | 11804 |
<|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 will break it down into steps.
## Step 1: Define the variables and establish the equations based on the information given.
Let's denote the time spent walking at the initial speed $s$ kilometers per hour as $t_1$ hours and the time spent walking at the increased speed $s+2$ kilometers per hou... | 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 | To solve this problem, we will break it down into steps.
## Step 1: Define the variables and establish the equations based on the information given.
Let's denote the time spent walking at the initial speed $s$ kilometers per hour as $t_1$ hours and the time spent walking at the increased speed $s+2$ kilometers per hou... | false | 204 | 56.875 |
<|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'll break it down into steps.
## Step 1: Understand the given information
We have two scenarios:
- When Aya walks at a speed of $s$ kilometers per hour, the total time taken for the walk and coffee is 4 hours, including $t$ minutes spent in the coffee shop.
- When Aya walks at a speed of $s+2$... | 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... | 204 | 0 | 16 | To solve this problem, we'll break it down into steps.
## Step 1: Understand the given information
We have two scenarios:
- When Aya walks at a speed of $s$ kilometers per hour, the total time taken for the walk and coffee is 4 hours, including $t$ minutes spent in the coffee shop.
- When Aya walks at a speed of $s+2$... | 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 into steps.
## Step 1: Understand the given information
We are given that Aya walks 9 kilometers, and the time taken for the walk changes based on her speed. We have two scenarios:
- When she walks at $s$ kilometers per hour, the total time taken is 4 hours, including $t$ 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 | 17 | To solve this problem, let's break it down into steps.
## Step 1: Understand the given information
We are given that Aya walks 9 kilometers, and the time taken for the walk changes based on her speed. We have two scenarios:
- When she walks at $s$ kilometers per hour, the total time taken is 4 hours, including $t$ min... | false | 204 | 240 |
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