Datasets:
problem_key stringclasses 560
values | rollout_index int64 0 31 | level int64 1 5 | capability stringclasses 9
values | gt stringclasses 345
values | solution stringlengths 1 184k | correct bool 2
classes | committed bool 2
classes | finish_reason stringclasses 2
values | output_tokens int64 4 31.7k |
|---|---|---|---|---|---|---|---|---|---|
aime2024__00 | 0 | 5 | aime2024 | 204 | .
Problem
We are told that Aya’s walk and coffee stop time depend on her walking speed, and we are to find how long the walk takes when she walks at a certain speed, including the coffee stop.
Fine-grained rationale
To approach this problem, I first recognize that the main goal is to determine the total time Aya s... | false | false | stop | 739 |
aime2024__00 | 1 | 5 | aime2024 | 204 | and without quotes.
Okay, let's see. So the problem is about Aya's walking speed and the time she spends in the coffee shop. I need to find out how long her walk takes when she walks at a speed of s + 1/2 km/h. Hmm. Let me try to parse the information given.
First, when she walks at speed s km/h, the walk takes 4 ho... | true | true | stop | 5,475 |
aime2024__00 | 2 | 5 | aime2024 | 204 | .
Okay, so I have this problem about Aya's walking speed and time, and I need to find out how long her walk takes when she walks at a different speed. Let me try to break it down step by step.
First, the problem says that every morning Aya walks 9 kilometers, and after that, she goes to a coffee shop. The time she sp... | true | true | stop | 2,177 |
aime2024__00 | 3 | 5 | aime2024 | 204 | and without the "Answer:".
Note: $s$ is a positive integer, and $t$ is a positive number.
### Problem & Answer
Aya walks $9$ kilometers each morning, stopping at a coffee shop. When she walks at $s$ km/h, her total time is $4$ hours and $t$ minutes; at $s+2$ km/h, her total time is $2$ hours and $24$ minutes, with th... | false | true | stop | 4,350 |
aime2024__00 | 4 | 5 | aime2024 | 204 | .
Answer:
Okay, let's try to solve this problem step by step. So, Aya goes for a 9-kilometer walk every morning. When she walks at a constant speed of s km/h, the total time, including the coffee shop stop, is 4 hours. But when she walks faster at s+2 km/h, the total time is 2 hours and 24 minutes. We need to find how... | false | true | stop | 1,613 |
aime2024__00 | 5 | 5 | aime2024 | 204 | .
Problem
We are asked to find the total time (in minutes) Aya spends on her walk, including the time spent in the coffee shop, when she walks at a speed of \(s+\frac{1}{2}\) kilometers per hour, given that the time for her walk depends on her walking speed and includes a fixed coffee shop stop.
Fine-grained rationa... | false | false | stop | 672 |
aime2024__00 | 6 | 5 | aime2024 | 204 | .
Okay, let's try to solve this problem step by step. So, Aya walks 9 kilometers every morning. The time it takes her depends on her speed, and she also spends some time in the coffee shop, which is t minutes each time. The problem gives two scenarios with different speeds and total times (including t minutes) and ask... | true | true | stop | 2,595 |
aime2024__00 | 7 | 5 | aime2024 | 204 | .
Let's try to solve the problem step by step, but I'll naturally fall into the common pitfall as described.
---
**Step 1: Initial Attempt (with Pitfall)**
Let me define variables:
- Let \( s \) = Aya's constant walking speed (km/h)
- Let \( t \) = time (in minutes) she spends in the coffee shop
- Let \( T \) = tot... | false | false | length | 31,744 |
aime2024__00 | 8 | 5 | aime2024 | 204 | .
Okay, let's see. So, Aya has this walking problem. Let me try to understand it step by step.
First, the problem says that every morning, she goes for a 9-kilometer walk and then stops at a coffee shop. The time it takes her depends on her walking speed. When she walks at a constant speed of s km/h, the total time (... | true | true | stop | 2,430 |
aime2024__00 | 9 | 5 | aime2024 | 204 | ".\nLet's try to solve the problem step by step, keeping in mind to fall into the given pitfall as a(...TRUNCATED) | false | true | stop | 3,635 |
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