Datasets:
health unknown | enhanced_prompt string | enhanced_completion string | reasoning_trace string | Dalc int64 | Fedu int64 | Fjob string | G1 int64 | G2 int64 | G3 int64 | Medu int64 | Mjob string | Pstatus string | Walc int64 | absences int64 | activities bool | address string | age int64 | failures int64 | famrel int64 | famsize string | famsup bool | freetime int64 | goout int64 | guardian string | higher bool | internet bool | nursery bool | paid bool | reason string | romantic bool | school string | schoolsup bool | sex string | studytime int64 | traveltime int64 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2 | null | 2 | Let me analyze the chess scenario step by step.
White King on e1, White Rooks on a1 and h1, Black King on e8. All intermediate squares empty. Standard FIDE rules, no prior moves for Kings or Rooks, no squares under attack.
I need to check castling conditions for White. There are two potential castling moves: kingside... | 1 | 4 | teacher | 11 | 13 | 14 | 4 | other | T | 1 | 2 | true | U | 15 | 0 | 4 | GT3 | true | 4 | 3 | father | true | false | true | false | reputation | false | GP | false | M | 2 | 2 |
3 | null | 3 | The problem asks for the minimum quorum size in a Paxos cluster of 5 acceptors, tolerating up to 2 fail-stop faults, such that any two quorums intersect.
In Paxos, safety depends on quorum intersection. For a cluster of size N, any two quorums of size Q must overlap. The mathematical condition for this is 2Q > N.
He... | 1 | 1 | other | 6 | 0 | 0 | 2 | other | T | 2 | 0 | false | R | 18 | 0 | 4 | GT3 | true | 3 | 5 | mother | false | true | true | false | reputation | true | GP | false | F | 2 | 2 |
1 | null | 1 | I need to find the number of distinct real roots of the polynomial P(x) = x^3 - 3x^2 + 3x - 1.
First, let's look at the coefficients. They are 1, -3, 3, -1. These are the binomial coefficients for (x-1)^3: 1, -3, 3, -1. So P(x) = (x-1)^3.
Let me verify this algebraic factorization. (x-1)^2 = x^2 - 2x + 1. Multiply by... | 2 | 2 | services | 15 | 16 | 15 | 4 | health | T | 4 | 4 | false | U | 15 | 0 | 2 | GT3 | false | 2 | 4 | mother | true | true | true | true | other | false | GP | false | M | 1 | 1 |
5 | null | 5 | I need to determine the total number of distinct convex regular polyhedra (Platonic solids) in 3D Euclidean space. The prompt specifies I must use the Schläfli symbol {p, q} and the constraint (p-2)(q-2) < 4, where p, q ≥ 3. I also need to explicitly rule out Kepler-Poinsot polyhedra and Euclidean tilings, and then out... | 4 | 2 | services | 7 | 8 | 8 | 1 | at_home | T | 5 | 12 | true | U | 17 | 0 | 4 | GT3 | false | 4 | 4 | other | true | true | false | true | other | false | GP | false | M | 2 | 2 |
4 | null | 4 | Let me break down what's being asked. The prompt is about the Standard Model of particle physics and fundamental forces. I need to count the recognized fundamental forces, specifically accounting for strong nuclear, weak nuclear, electromagnetic, and gravitational interactions, while excluding hypothetical fifth forces... | 1 | 3 | other | 10 | 11 | 9 | 3 | other | T | 1 | 4 | true | U | 16 | 0 | 4 | LE3 | true | 4 | 5 | mother | true | true | true | true | reputation | false | GP | false | F | 2 | 2 |
"# Need More Information\n\nYou've provided the **conditions** for a path-finding problem, but you haven't included the actual **problem data** — specifically, the grid configuration showing which cells are black and which are white.\n\n## What I understand from your description:\n\nThis appears to be a **Hamiltonian p... | Provide your response to the following prompt:
<prompt>
I am solving a complex grid-based Hamiltonian path problem with the following constraints:
- The grid contains black cells (to be traversed) and white cells (obstacles).
- The path must visit every black cell exactly once, forming a single continuous path.
- Mov... | ### Algorithmic Solution for Grid-Based Hamiltonian Path Problem
#### 1. Preprocessing: Connectivity Verification
**Rationale**: A Hamiltonian path requires the black-cell subgraph to be connected. Disconnected components immediately invalidate the problem instance.
**Algorithm**:
- Treat black cells as vertices i... | Okay, let me approach this systematically. The user presents a complex Hamiltonian path problem on a grid with black cells (to traverse) and white cells (obstacles). They require an expert-level solution covering preprocessing, optimized search, path construction with example, and verification.
First, I need to verif... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"The answer varies based on type of license and type of aircraft. But the most common Private Pilot License for fixed wing aircraft has a minimum age of 17 years." | Provide your response to the following prompt:
<prompt>
What is the minimum age requirement to obtain a pilot's license in the United States?
</prompt>
Adhere to the following constraints in your response unless it contradicts a constraint that is already given in the prompt above:
# Constraints
The question you mus... | In the United States, the minimum age to obtain a private pilot certificate is 17 years old. This is the license most commonly pursued by individuals looking to fly for personal use, such as recreational flying or cross-country trips. However, you can begin flight training at any age—many students start as teenagers or... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"According to the Mayor of Paris, Parisians want to ban e-scooters because they are a source of tension and worry and banning them would reduce nuisance in public spaces. \nDetractors of e-scooters think that their users disrespect the rules of the road and park them haphazardly, causing anarchy in the streets and maki... | Provide your response to the following prompt:
<prompt>
Based on the article, what are the main reasons Parisians support banning electric scooters? Identify and summarize the key concerns expressed by residents and officials, including safety issues, rule violations, and public nuisance, as well as specific incidents... | Parisians' support for banning electric scooters stems from a combination of persistent safety concerns, widespread rule violations, and the growing perception of scooters as a public nuisance. Residents and city officials have voiced alarm over the rising number of accidents involving e-scooters, particularly in dense... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"The function of the incudomalleolar joint is to transfer vibrations between the ossicles in the middle ear." | Provide your response to the following prompt:
<prompt>
Given the following reference text about the incudomalleolar joint (also known as the incudomallear joint or articulatio incudomallearis), identify its main function.
The incudomalleolar joint is a small synovial joint connecting the malleus (hammer) and incus (... | The main function of the incudomalleolar joint is to transmit sound vibrations from the malleus (hammer) to the incus (anvil), two of the three small bones in the middle ear known as ossicles. This joint is a synovial type, meaning it contains a fluid-filled cavity that allows for smooth movement, though in this case, ... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"The data suggests it's inconclusive whether or not masks were effective in stopping the spread of Covid-19. There's evidence to support that they may have caused more harm than good with certain demographics, however Covid-19 was weaponized by political agendas. There are studies to support whichever side of the aisl... | Provide your response to the following prompt:
<prompt>
Were face masks effective in reducing the transmission of COVID-19? Provide a clear, evidence-based explanation summarizing scientific findings on mask effectiveness during the pandemic, including context on mask types, usage conditions, and public health consens... | Yes, face masks were effective in reducing the transmission of SARS-CoV-2, the virus that causes COVID-19, but their impact depended critically on mask type, consistent and correct usage, and the specific context of exposure. The scientific evidence supporting this conclusion has evolved significantly since early 2020 ... | Okay, the user is asking about the effectiveness of face masks in reducing COVID-19 transmission. They want a clear, evidence-based explanation covering mask types, usage conditions, and public health consensus.
Hmm, I need to approach this as a senior epidemiologist would - drawing from clinical studies, meta-analys... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"# Solution\n\nLooking at your problem statement, it appears to describe how string **s** is derived from string **w** using parameter **x**. The problem seems to be asking: **Given s and x, find w (if it exists).**\n\n## Understanding the Transformation\n\nLet me first clarify the rules:\n- $s_i = 1$ if $w_{i-x} = 1$ ... | Provide your response to the following prompt:
<prompt>
Given a binary string $ s $ of length $ n $ and an integer $ x $ (where $ 1 \leq x < n $), solve the inverse of the following transformation to reconstruct the original binary string $ w $ of length $ n $, if it exists.
### Transformation Rule (1-based indexing)... | **1. Inverse analysis – constraints that any feasible \(w\) must satisfy**
For a fixed length \(n\) and offset \(x\;(1\le x<n)\) the transformation is
\[
s_i =
\begin{cases}
1 &\text{if }(i-x\ge 1\land w_{i-x}=1)\;\lor\;(i+x\le n\land w_{i+x}=1)\\[2mm]
0 &\text{otherwise}
\end{cases}
\qquad(1\le i\le n)
\]
Hence... | The user asks: "Provide your response to the following prompt: <prompt> ..."
The prompt is a problem statement about reconstructing binary string w given s and x, with transformation rule. The user wants a solution that includes: inverse analysis, algorithm design, pseudocode, counterexample demonstration, correctness... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"The problem statement you've provided is incomplete. While you've described the constraints (n problems, k days, solve in order, all problems must be solved), the actual question or objective is missing.\n\n**What I need to provide a complete solution:**\n\n1. **The objective** - What should be computed? Common option... | Provide your response to the following prompt:
<prompt>
You are given n problems with positive integer difficulties a_1, a_2, ..., a_n and exactly k days to solve them all. The problems must be solved in order, one or more consecutive problems per day, with all problems completed. Constraints: 1 ≤ k ≤ n ≤ 10^5, 1 ≤ a_... | ### Comprehensive Analysis of Consecutive Partitioning Problem with Fixed Days
This problem involves partitioning a sequence of positive integers \(a_1, \dots, a_n\) into exactly \(k\) contiguous non-empty subarrays (one per day) while optimizing an unspecified objective related to daily difficulty sums. Given the con... | Okay, let me tackle this problem. So, we have n problems with difficulties a_1 to a_n, all positive integers, and k days to solve them. The problems must be done in order, one or more consecutive problems per day. The daily difficulty is the sum of the problems that day. Total sums can be up to 10^14. Constraints are 1... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"# Solution with Verification\n\n## Understanding the Problem\n\nI need to find how much money the class **initially** raised for the field trip. Let me identify all the given information:\n\n- Each student contributed $5\n- There are 20 students in the class\n- The trip costs $7 per student\n- After paying for the tri... | Provide your response to the following prompt:
<prompt>
Solve the following field trip funding problem using a clear, step-by-step approach that combines algebraic reasoning with real-world financial verification. The scenario is: A class of 20 students is going on a field trip. Each student contributes $5 toward the ... | 1) **Understanding the Problem**
- Number of students: 20
- Each student contributes: $5
- Cost per student: $7
- Remaining balance after paying all expenses: $10
- Unknown: The initial amount of money in the class fund before any student paid anything. We will call this amount *R*.
Our goal is to find *R*, ... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"Khuli ni kamalekelo ke lifundo mu Uganda" | Provide your response to the following prompt:
<prompt>
We operate football academies in Uganda. Please provide information on the locations, programs, and community impact of these academies. Include details on player development, coaching structure, and any partnerships or achievements.
</prompt>
Adhere to the foll... | ### Overview
Our football academies are embedded in the heart of Ugandan communities, offering a blend of high‑quality sport training, education and life‑skill programmes. The aim is to nurture talent while contributing to social development, health and education across the regions we serve.
---
## 1. Locations
... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"The One Mile Telescope was built in the late 1950s with the goal of observing the early days of the universe. The construction of the telescope allowed to get more detailed images, allowing a better understanding of the physical phenomena at work." | Provide your response to the following prompt:
<prompt>
Explain the reasons behind the construction of the One Mile Telescope at the Mullard Radio Astronomy Observatory (MRAO) in the late 1950s, based on Sir Martin Ryle's 1971 account. Specifically, describe the two main scientific objectives: (1) extending the observ... | In the late 1950s, the construction of the One Mile Telescope at the Mullard Radio Astronomy Observatory was driven by a clear scientific ambition: to push the boundaries of what could be observed in the radio sky. At that time, radio astronomy was rapidly evolving, and researchers were beginning to realize that many c... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"Here is a list of Tesla cars that received free supercharging when newly ordered:\n\n1. Tesla model S and X cars ordered before January 15, 2017 received free unlimited supercharging.\n2. Tesla model S and X cars ordered between August 3, 2019 and May 26, 2020 also received free unlimited supercharging.\n3. Tesla mode... | Provide your response to the following prompt:
<prompt>
Based on the provided text, identify which Tesla models received free Supercharging when ordered, and specify the duration or conditions of the free Supercharging for each eligible model.
Break down your response by model and order date range:
- For Model S and... | The Tesla Model S and Model X received free Supercharging benefits when ordered during specific time periods, with the terms varying based on order date:
- **Model S and Model X – Orders placed before January 15, 2017**: These vehicles came with unlimited free Supercharging for the lifetime of the car. This benefit ap... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"Give the answer or solution to the following equation:" | Provide your response to the following prompt:
<prompt>
Solve the equation 7x – 6 = 27, given that x = 6, and verify whether the value of x satisfies the equation.
</prompt>
Adhere to the following constraints in your response unless it contradicts a constraint that is already given in the prompt above:
# Constraint... | We are given the equation:
$$
7x - 6 = 27
$$
and asked to solve it, then verify whether $ x = 6 $ satisfies the equation.
---
### Step 1: Solve the equation
We begin by isolating the variable $ x $.
Add 6 to both sides:
$$
7x - 6 + 6 = 27 + 6
$$
$$
7x = 33
$$
Now divide both sides by 7:
$$
x = \frac{33}{7}
$$
... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"# Tournament Graph Analysis: Hamiltonian Path Existence\n\nThis problem describes a **tournament graph** - a complete directed graph where between any two vertices, exactly one directed edge exists.\n\n## Key Result: Every Tournament Has a Hamiltonian Path\n\nA Hamiltonian path visits each room exactly once, following... | Provide your response to the following prompt:
<prompt>
Baby Ehab is navigating a maze with n rooms (n ≥ 1) where between every pair of distinct rooms, there is exactly one directed passage (forming a tournament graph). Prove rigorously that a directed Hamiltonian path—visiting each room exactly once while following p... | **Proof of Directed Hamiltonian Path Existence in Tournaments**
**Theorem.** Every tournament graph on $ n \geq 1 $ vertices contains a directed Hamiltonian path.
*Proof by Mathematical Induction.*
**Base Case ($ n = 1 $):**
For $ n = 1 $, the single-vertex graph trivially admits a Hamiltonian path consisting of t... | Okay, let's tackle this problem step by step. The user wants a rigorous proof that every tournament graph has a directed Hamiltonian path, using induction with specific requirements. They also need a constructive O(n²) algorithm with pseudocode, correctness proof, and time complexity analysis. Plus, a definitive "YES" ... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"# Double-Elimination Tournament Grand Finals Analysis\n\n## Understanding the Tournament Structure\n\nThis describes a **double-elimination tournament** format. Let me explain the complete structure:\n\n### Tournament Flow\n\n```\nUPPER BRACKET (Winners Bracket) LOWER BRACKET (Losers Bracket)\n ... | Provide your response to the following prompt:
<prompt>
You are a tournament systems analyst specializing in competitive esports structures. Produce a technical report for experienced tournament administrators that definitively establishes the mathematical necessity of the bracket reset format in double-elimination gr... | ### Technical Report: Mathematical Necessity of Bracket Reset in Double-Elimination Grand Finals
---
#### 1. Structural Flow Diagram
```plaintext
UPPER BRACKET FINALIST (0 losses)
│
├───▶ GRAND FINALS GAME 1 ───┬── UB Win → [UB: 0 losses, LB: 2 losses] → UB Champion (Eliminate LB)
│ ... | Okay, the user is asking me to create a technical report on the bracket reset format in double-elimination esports tournaments. They want a rigorous mathematical analysis specifically for experienced tournament administrators.
Hmm, this is quite detailed - they've specified exactly how they want the response structur... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
"Here is the step-by-step reasoning for the solution:\n\n1. **Analyze the original code**: The function `convert_to_integer(x)` simply takes an input `x` and attempts to convert it to an integer using `int(x)`.\n2. **Identify potential errors**: The `int()` function raises a `ValueError` if the string passed to it do... | Provide your response to the following prompt:
<prompt>
Provide a step-by-step analysis in numbered list format for enhancing the Python function `convert_to_integer(x)` with robust error handling. The function must accept string inputs but safely handle invalid or non-string inputs (e.g., 'abc', 12.3, None) without c... | 1. **Analyze failure scenarios**
The original `convert_to_integer(x)` function likely attempts to directly convert the input `x` to an integer using `int(x)`. This approach fails under several conditions:
- **Non-string types**: Passing `None`, `12.3` (float), or even `True` (boolean) may cause issues. While ... | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
End of preview. Expand in Data Studio
This dataset is a remastered version prepared using Adaption's Adaptive Data platform.
adaption-single_digit_integers
This dataset consists of pairs containing single integer completions ranging from 1 to 5. The samples demonstrate a simple numerical sequence without additional context or complex structures. It appears designed for basic integer recognition or counting tasks.
Dataset size
There are 1,405 data points in this dataset. This is an instruction tuning dataset.
Quality of Remastered Dataset
The final quality is A, with a relative quality improvement of 92.0%.
Language
- Unknown (100%)
Evaluation Results
Quality Gains:
Grade Improvement:
Percentile Chart:
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