problem stringlengths 20 1.11k | source stringclasses 4
values | requested_effort stringclasses 1
value | thinking stringlengths 683 106k | thinking_tokens int64 280 32k | response stringlengths 117 3.37k | predicted_answer stringclasses 313
values | ground_truth stringclasses 291
values | correct bool 1
class | finish_reason stringclasses 1
value | effort stringclasses 3
values |
|---|---|---|---|---|---|---|---|---|---|---|
The digits 2, 4, 6, and 8 are each used once to create two 2-digit numbers. What is the largest possible difference between the two 2-digit numbers?
(A) 66
(B) 62
(C) 58
(D) 44
(E) 36 | olympiads | medium | The user wants to find the largest possible difference between two 2-digit numbers created using the digits 2, 4, 6, and 8, each exactly once.
Let the two 2-digit numbers be $A$ and $B$.
The digits available are $\{2, 4, 6, 8\}$.
We need to form two numbers, say $d_1 d_2$ and $d_3 d_4$, where $d_1, d_2, d_3, d_4$ is a... | 6,278 |
To find the largest possible difference between two 2-digit numbers created using the digits 2, 4, 6, and 8 (each used exactly once), we should follow a systematic approach:
1. **Identify the structure:** Let the two 2-digit numbers be $A$ and $B$. We want to maximize the difference $A - B$ (assuming $A > B$).
... | 62 | 62 | true | stop | low |
The digits 2, 4, 6, and 8 are each used once to create two 2-digit numbers. What is the largest possible difference between the two 2-digit numbers?
(A) 66
(B) 62
(C) 58
(D) 44
(E) 36 | olympiads | medium | Here's a thinking process that leads to the solution:
1. **Understand the Goal:** The objective is to find the *largest possible difference* between two 2-digit numbers formed using the digits $\{2, 4, 6, 8\}$ exactly once each.
2. **Analyze the Components:**
* Available digits: 2, 4, 6, 8.
* Number of ... | 7,022 |
To find the largest possible difference between two 2-digit numbers formed using the digits 2, 4, 6, and 8 exactly once, we need to maximize the value of the first number and minimize the value of the second number.
Let the two numbers be $N_1$ and $N_2$. We want to maximize $N_1 - N_2$.
A 2-digit number can be repr... | 62 | 62 | true | stop | medium |
The digits 2, 4, 6, and 8 are each used once to create two 2-digit numbers. What is the largest possible difference between the two 2-digit numbers?
(A) 66
(B) 62
(C) 58
(D) 44
(E) 36 | olympiads | medium | The problem asks for the largest possible difference between two 2-digit numbers formed using the digits 2, 4, 6, and 8, where each digit is used exactly once.
Let the two 2-digit numbers be $A$ and $B$.
We want to maximize $|A - B|$.
Let's assume $A > B$, so we want to maximize $A - B$.
The digits available are $\{2,... | 18,386 |
To find the largest possible difference between two 2-digit numbers created using the digits 2, 4, 6, and 8 exactly once, we let the numbers be $A = 10a_1 + a_2$ and $B = 10b_1 + b_2$. The difference is:
$$A - B = 10(a_1 - b_1) + (a_2 - b_2)$$
To maximize this difference, we should prioritize the tens place because ... | 62 | 62 | true | stop | high |
On his birthday, the last guest to arrive was Yana, who gave Andrey a ball, and the second last was Eduard, who gave him a calculator. While using the calculator, Andrey noticed that the product of the total number of gifts he received and the number of gifts he had before Eduard arrived is exactly 16 more than the pro... | olympiads | medium | Here's a thinking process that leads to the solution:
1. **Analyze the Problem Statement:**
* **Characters:** Andrey (the birthday boy), Yana (last guest), Eduard (second last guest).
* **Events:**
* Yana gave a ball.
* Eduard gave a calculator.
* Andrey had some number of g... | 5,238 |
To find the total number of gifts Andrey has, we can set up an algebraic equation based on the information provided:
1. **Define the Variables:**
* Let $n$ be the total number of gifts Andrey received.
* Let $a$ be Andrey's age.
* Because Eduard was the **second-to-last** guest, Andrey had receive... | 18 | 18 | true | stop | low |
On his birthday, the last guest to arrive was Yana, who gave Andrey a ball, and the second last was Eduard, who gave him a calculator. While using the calculator, Andrey noticed that the product of the total number of gifts he received and the number of gifts he had before Eduard arrived is exactly 16 more than the pro... | olympiads | medium | Here's a thinking process that leads to the solution:
1. **Analyze the Problem Statement:**
* **Characters:** Andrey (the birthday boy), Yana, Eduard.
* **Events:**
* Eduard arrived 2nd to last.
* Yana arrived last.
* **Gifts:**
* Eduard gave a calculator (1 gift).
... | 15,784 |
Let $N$ be the total number of gifts Andrey received.
Let $A$ be Andrey's age.
Let $x$ be the number of gifts Andrey had before Eduard arrived.
Based on the problem statement, we can determine the number of gifts at different stages:
1. **Before Eduard arrived:** Andrey had $x$ gifts.
2. **Eduard's arrival:** Edua... | 18 | 18 | true | stop | medium |
"On his birthday, the last guest to arrive was Yana, who gave Andrey a ball, and the second last was(...TRUNCATED) | olympiads | medium | "Let $n$ be the number of gifts Andrey has *before* Eduard arrives.\nThe sequence of events is descr(...TRUNCATED) | 16,790 | "\n\nLet $n$ be the number of gifts Andrey had before Eduard arrived.\nAccording to the problem:\n- (...TRUNCATED) | 18 | 18 | true | stop | high |
"Thomas has constant speeds for both running and walking. When a down-escalator is moving, Thomas ca(...TRUNCATED) | olympiads | medium | "Here's a thinking process that leads to the solution:\n\n1. **Understand the Goal:** The problem a(...TRUNCATED) | 5,491 | "\n\nTo find the time it takes for Thomas to walk down the stationary escalator, we can analyze the (...TRUNCATED) | 60 | 60 | true | stop | low |
"Thomas has constant speeds for both running and walking. When a down-escalator is moving, Thomas ca(...TRUNCATED) | olympiads | medium | "Here's a thinking process to solve the problem:\n\n1. **Understand the Goal:** The objective is to(...TRUNCATED) | 6,228 | "\n\nLet $D$ be the length of the escalator.\nLet $r$ be Thomas's running speed relative to the esca(...TRUNCATED) | 60 | 60 | true | stop | medium |
"Thomas has constant speeds for both running and walking. When a down-escalator is moving, Thomas ca(...TRUNCATED) | olympiads | medium | "Here's a thinking process to solve the problem:\n\n1. **Understand the Goal:** The objective is to(...TRUNCATED) | 7,082 | "\n\nLet $D$ be the length of the escalator.\nLet $v_r$ be Thomas's running speed.\nLet $v_w$ be Tho(...TRUNCATED) | 60 | 60 | true | stop | high |
"Eighty percent of dissatisfied customers leave angry reviews about a certain online store. Among sa(...TRUNCATED) | olympiads | medium | "Here's a thinking process that leads to the solution:\n\n1. **Understand the Goal:** The objective(...TRUNCATED) | 6,460 | "\n\nTo estimate the probability that the next customer will be satisfied, we can work backward from(...TRUNCATED) | 0.64 | 0.64 | true | stop | low |
End of preview. Expand in Data Studio
Sherry Reasoning Effort Dataset (0.1)
Math reasoning traces at 3 effort levels (low, medium, high) generated by Qwen3.6-35B-A3B (NVFP4) via API.
Description
Each problem was sampled from NuminaMath-CoT (numeric-answer problems only, proofs filtered out).
For every problem, 3 candidates were sampled from the generator model with thinking enabled,
verified against the ground truth, and the 3 verified traces with different reasoning depths were kept:
the shortest labeled low, the median medium, and the longest high.
Source
- Problems: AI-MO/NuminaMath-CoT (Apache-2.0)
- Generator: unsloth/Qwen3.6-35B-A3B-NVFP4-Fast (OpenAI-compatible API)
- Verification: exact-match/numeric on \boxed{} against NuminaMath ground truth (all traces correct)
Format
Each row is a JSON object:
problem: the math problem textsource: NuminaMath source (olympiads, synthetic_math, cn_k12, orca_math)effort: one of "low", "medium", "high" (assigned from observed reasoning depth)thinking: the reasoning content (separated from response)thinking_tokens: actual reasoning tokens reported by the APIresponse: the final response (contains \boxed{})predicted_answer: extracted answer from responseground_truth: extracted answer from NuminaMath solutioncorrect: whether predicted matches ground truth (always true)finish_reason: API finish reason (always "stop"; truncated candidates discarded)requested_effort: prompt used for candidate generation (uniform "medium")
Intended Use
SFT training for reasoning effort control in language models.
- Downloads last month
- 22