Datasets:

Charley890
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adaption-adaptive-math-2

Topic string	enhanced_prompt string	enhanced_completion string	reasoning_trace string	Keywords string	Question ID int64	Question Level string	Student Country string	Student ID int64	Subtopic string	Type of Answer int64
Statistics	Provide your response to the following prompt: <prompt> ### Task Definition Identify the singular academic domain described by the following epistemological framework: - Core Methodology: Knowledge is derived from empirical observation using sampling distributions, hypothesis testing, and parameter estimation. - *...	Statistics	Let me break down this framework. The core methodology mentions sampling distributions, hypothesis testing, and parameter estimation—these are the foundational tools of statistical inference. The key distinction is crucial: it separates this domain from deductive mathematics (which deals in proofs and certainty) and fr...	Mean,Variance,Standard deviation,Median,Mode	178	Basic	Italy	645	Statistics	1
Differential Equations	Provide your response to the following prompt: <prompt> Identify the specific branch of mathematical sciences that studies relations between unknown functions and their derivatives, excluding integral calculus and algebra. Adhere strictly to the following constraints: 1. Format: Output exactly two words. 2. **Str...	Differential Equations	Alright, let me think about this carefully. The prompt asks me to identify a specific branch of mathematical sciences that studies relations between unknown functions and their derivatives. Let me break this down. "Relations between unknown functions and their derivatives" — this is the classic definition of different...	Separable variables equation	146	Basic	Portugal	552	Differential Equations	0
Optimization	Provide your response to the following prompt: <prompt> ### Task Context You are an expert in High-Performance Computing (HPC) lifecycle management. Your goal is to classify a specific software modification task using the strict terminology defined by the IEEE Standard Classification for Software Maintenance. ###...	Optimization	Okay, let me break down this scenario carefully. The task is to classify a software modification task using IEEE Standard Classification for Software Maintenance terminology. The scenario describes: "Modifying existing algorithmic structures to minimize resource consumption and latency while preserving exact functiona...	Lagrange multipliers,Maximum,Minimum	155	Basic	Portugal	380	Nonlinear Optimization	1
Fundamental Mathematics	Provide your response to the following prompt: <prompt> Evaluate the following academic module descriptors: 1) Axiomatic number systems 2) Fundamental algebraic operations 3) Basic geometric proofs Based on standard academic departmental structures, determine the formal subject classification that distinguishes this ...	Pure Mathematics	Let me think through this carefully. I'm looking at three academic module descriptors: axiomatic number systems, fundamental algebraic operations, and basic geometric proofs. These are all theoretical, foundational topics — they deal with the underlying structure and reasoning of mathematics itself, not with applicatio...	Simplify expressions	112	Basic	Portugal	359	Algebraic expressions, Equations, and Inequalities	0
Differentiation	Provide your response to the following prompt: <prompt> ### Task Definition Identify the specific gerund noun that names the fundamental calculus operation described below. ### Context Description Given a smooth function mapping real numbers to real numbers, consider the linear operator that maps the function to its ...	Differentiation	The prompt asks me to identify a gerund noun naming the fundamental calculus operation described. Let me parse the context carefully. "A smooth function mapping real numbers to real numbers" — so we're working with functions f: ℝ → ℝ. "The linear operator that maps the function to its instantaneous rate of change" — ...	Product rule,Trigonometric rules	274	Basic	Portugal	36	Derivatives	0
Linear Algebra	Provide your response to the following prompt: <prompt> Analyze the following mathematical descriptors: vector spaces, eigenvalues, eigenvectors, matrix factorization, and linear mappings. Identify the singular academic subject that exclusively unifies these concepts, distinguishing it from Multivariate Calculus and ...	Linear Algebra	Alright, let me think through this carefully. The prompt is asking me to identify a single academic subject that unifies several mathematical descriptors: vector spaces, eigenvalues, eigenvectors, matrix factorization, and linear mappings. First, let me consider what each of these concepts relates to. Vector spaces ar...	Matrix operations,Determinant computation,Determinant properties,Inverse matrix	138	Basic	Portugal	166	Matrices and Determinants	1
Optimization	Provide your response to the following prompt: <prompt> # Task: Identify the Operations Research Discipline ## Context Consider the specific process within operations research and computational mathematics defined by: 1. The systematic selection of input values from an allowed set. 2. The goal to maximize or minimize...	Optimization	Let me break down what's being asked here. The prompt describes a process within operations research and computational mathematics with three key characteristics: 1. Systematic selection of input values from an allowed set — this is about choosing decision variables from a feasible region. 2. Maximizing or minimizing ...	Linear programming	282	Basic	Lithuania	80	Linear Optimization	1
Probability	Provide your response to the following prompt: <prompt> Analyze the axiomatic system comprising a sample space (Ω), a σ-algebra (ℱ), and a measure function (P) that satisfies non-negativity, unit measure, and countable additivity. Distinguish this specific measure from 'likelihood' or 'odds'. Identify the precise math...	Probability	Looking at this prompt, I need to identify the mathematical discipline named after the measure function P that satisfies non-negativity, unit measure, and countable additivity on a σ-algebra. Let me break down what's being described: a triple (Ω, ℱ, P) where P is a measure with P(Ω) = 1, non-negative, and countably ad...	Sample space,Addition, multiplication, and total probability rules,Event,Axioms of probability	297	Basic	Ireland	913	Probability	0
Differentiation	Provide your response to the following prompt: <prompt> Identify the precise single-word noun that defines the mathematical operation of determining the instantaneous rate of change of a function with respect to a specific variable. This term must apply to both ordinary and partial contexts in multivariable calculus, ...	Differentiation	The prompt is asking for a single-word noun that names the mathematical operation of finding the instantaneous rate of change of a function with respect to a variable. Let me think through this carefully. The key requirements: 1. It's the name of the operation itself, not the result 2. Must apply to both ordinary an...	Trigonometric rules,Product rule,Sum rule,Power rule	100	Basic	Lithuania	1,049	Derivatives	0
Linear Algebra	Provide your response to the following prompt: <prompt> # Task: Mathematical Discipline Classification ## Context & Definitions Analyze the mathematical discipline defined by the axiomatic study of vector spaces and linear mappings between them. This field encompasses: - Matrix Theory: The study of rectangular ar...	Linear Algebra	Alright, let me carefully analyze this problem. The prompt is asking me to identify a mathematical discipline based on a set of definitions, context, and differentiation criteria. Let me break down what's being described: 1. "Axiomatic study of vector spaces and linear mappings between them" — this is a very precise ...	Inconsistent system,Solution of linear system,Undetermined solution of linear system,Consistent system,Square linear system	222	Basic	Italy	853	Linear Systems	0
Integration	Provide your response to the following prompt: <prompt> Identify the specific operation in mathematical analysis that assigns a number to a function to describe concepts such as displacement, area, and volume by combining infinitesimal data, acting as the inverse of differentiation. Adhere strictly to the following o...	Integration	The prompt is asking for a specific mathematical operation. Let me parse the key descriptors: "assigns a number to a function," "displacement, area, and volume," "combining infinitesimal data," "inverse of differentiation." That's integration — the integral. Now the output constraints: exactly one word, capitalized, no...	Direct inspection,Simple integration	309	Basic	Portugal	1,561	Integration Techniques	0
Integration	Provide your response to the following prompt: <prompt> Identify the single technical term that satisfies both of the following definitions: 1. Calculus Context: The mathematical operation defined as the limit of Riemann sums representing the signed area under a function's graph, which also serves as the inverse ...	INTEGRATION	Let me work through this carefully. Definition 1 (Calculus): The limit of Riemann sums, signed area under a curve, inverse of differentiation per the Fundamental Theorem of Calculus — that's unambiguously integration. Definition 2 (Software Engineering): The phase where individual components are combined ...	Trigonometric substitution,Simple integration	192	Basic	Portugal	1,481	Integration Techniques	1
Real Functions of a single variable	Provide your response to the following prompt: <prompt> Identify the specific nomenclature used in advanced undergraduate mathematics curricula for the module covering mappings f: A ⊂ ℝ → ℝ, where both domain and codomain are one-dimensional real spaces. Scope Constraints: - Include: Single-variable real analysis. -...	Single Variable Real Valued Functions	The prompt asks for a classification term for the module covering mappings f: A ⊂ ℝ → ℝ — single-variable real analysis, essentially. Let me work through the constraints. Required words: 'Real', 'Functions', 'single', 'variable'. That's four mandatory words. The output must be exactly 5 words, so I need one additional...	Indeterminate forms,Limits	87	Advanced	Portugal	1,557	Limits and Continuity	1
PREOPERATIVE DIAGNOSIS: , Extensive perianal and intra-anal condyloma.,POSTOPERATIVE DIAGNOSIS: , Extensive perianal and intra-anal condyloma.,PROCEDURE PERFORMED:, Cauterization of peri and intra-anal condylomas.,ANESTHESIA: ,IV sedation and local.,SPECIMEN: , Multiple condylomas were sent to pathology.,ESTIMATED BL...	Provide your response to the following prompt: <prompt> As a surgical resident, generate a formal operative note for a 22-year-old female who underwent cauterization of perianal and intra-anal condylomas. The note must include the following sections in exact order: PREOPERATIVE DIAGNOSIS, POSTOPERATIVE DIAGNOSIS, PROC...	PREOPERATIVE DIAGNOSIS: , Perianal and intra-anal condylomas. POSTOPERATIVE DIAGNOSIS: , Perianal and intra-anal condylomas. PROCEDURE PERFORMED: , Cauterization of perianal and intra-anal condylomas. ANESTHESIA: , Local anesthesia with 0.5% Marcaine. SPECIMEN: , None sent to pathology. ESTIMATED BLOOD LOSS: , Minimal....	We are generating a formal operative note for a surgical procedure. The patient is a 22-year-old female who underwent cauterization of perianal and intra-anal condylomas. The note must include the following sections in exact order: PREOPERATIVE DIAGNOSIS POSTOPERATIVE DIAGNOSIS PROCEDURE PERFORMED ANESTHE...	null	null	null	null	null	null	null
## Problem: Check if a sequence is Arithmetic or Geometric Progression Issue Identified: No sequence has been provided in your problem statement. ### What I would need to do: For Arithmetic Progression check: - Calculate differences between consecutive terms - If all differences are equal → it's an AP **For...	Provide your response to the following prompt: <prompt> Perform a mathematically rigorous analysis to determine whether a given sequence of at least three positive integers is an arithmetic progression (AP), a geometric progression (GP), or neither, adhering strictly to the following specifications: 1. **Definitions ...	Definitions and Edge Cases 1. Arithmetic progression (AP). A finite sequence $ (a_1,a_2,\dots ,a_n) $ of integers is an AP iff there exists an integer $d$ such that for every $i\in\{1,\dots ,n-1\}$ \[ a_{i+1}-a_i = d . \] The common difference $d$ may be zero; in that case the sequence...	The user asks: "Provide your response to the following prompt: <prompt> ..." The prompt is a meta-prompt that asks to perform a mathematically rigorous analysis to determine whether a given sequence of at least three positive integers is an arithmetic progression (AP), a geometric progression (GP), or neither, with de...	null	null	null	null	null	null	null
Khusintsilila birone bye umukhulu we sisyalo,sisyalo syefwe syakanile babelukhila khuno bimya bibili.	Provide your response to the following prompt: <prompt> According to the chairman's report, our village hosted two hundred refugees last year. Verify the accuracy of this statement and provide a clear, concise explanation based on the given information. </prompt> Adhere to the following constraints in your response u...	Based solely on the information provided in the prompt—the chairman's report stating the village hosted two hundred refugees last year—it is not possible to verify the accuracy of this statement. The prompt offers no supporting evidence, such as official registration records from the Office of the Prime Minister (OP...	Okay, let me approach this systematically. The user presents a verification task about refugee numbers in a village report, with specific constraints shaping how I should respond. First, I need to analyze the core request: verifying the chairman's claim of "two hundred refugees" hosted last year. The constraints indic...	null	null	null	null	null	null	null
The FDIC insures deposits; examines and supervises financial institutions for safety, soundness, and consumer protection; makes large and complex financial institutions resolvable; and manages receiverships.	Provide your response to the following prompt: <prompt> What are the primary functions of the Federal Deposit Insurance Corporation (FDIC)? Explain each key role clearly and concisely, including deposit insurance, bank supervision, financial system stability, and receiver responsibilities for failed banks. </prompt> ...	The Federal Deposit Insurance Corporation (FDIC) serves several core functions designed to maintain public confidence in the U.S. banking system. These include deposit insurance, bank supervision, promoting financial system stability, and managing failed banks as receiver. First, deposit insurance protects deposit...	null	null	null	null	null	null	null	null
# Need More Information You'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. ## What I understand from your description: This appears to be a **Hamiltonian path pro...	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
Inbound tourism expenditure is recorded as a service export. According to the data for 2022, it represented a significant portion (21.6%) of Uganda's total exports, demonstrating its value to the national economy.	Provide your response to the following prompt: <prompt> According to the Tourism Satellite Account (TSA), how does inbound tourism expenditure contribute to Uganda's national accounts? Explain the value addition to the economy, such as foreign exchange earnings, GDP contribution, employment generation, and sectoral li...	Tourism Satellite Account (TSA) The Tourism Satellite Account is the United Nations‑endorsed statistical module that integrates tourism data into the System of National Accounts (SNA). It records tourism consumption, production and earnings in a way that is fully compatible with the national‑accounting framework,...	The user asks: "Provide your response to the following prompt: <prompt> According to the Tourism Satellite Account (TSA), how does inbound tourism expenditure contribute to Uganda's national accounts? Explain the value addition to the economy, such as foreign exchange earnings, GDP contribution, employment generation, ...	null	null	null	null	null	null	null
# Solution Looking 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). ## Understanding the Transformation Let me first clarify the rules: - $s_i = 1$ if $w_{i-x} = 1$ (positio...	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
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. What I need to provide a complete solution: 1. The objective - What should be computed? Common options: ...	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
# Solution with Verification ## Understanding the Problem I need to find how much money the class initially raised for the field trip. Let me identify all the given information: - Each student contributed $5 - There are 20 students in the class - The trip costs $7 per student - After paying for the trip, $10 rem...	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
This paper is by Vaswani, Ashish & Shazeer, Noam & Parmar, Niki & Uszkoreit, Jakob & Jones, Llion & Gomez, Aidan & Kaiser, Lukasz & Polosukhin, Illia. and published in 2017. It laid the foundation for the subsequent GPT series of models and BERT series of models. The GPT model uses the decoder part of Transfomer, while...	Provide your response to the following prompt: <prompt> The 2017 paper 'Attention Is All You Need' introduced the Transformer model, which revolutionized large language models (LLMs). Describe the core idea of the Transformer as presented in this paper. - Explain how the Transformer uses self-attention to process seq...	The core innovation of the 2017 paper Attention Is All You Need is the Transformer architecture, a neural network design that relies entirely on a mechanism called self-attention to process sequences like sentences, without using recurrence or convolution. Self-attention allows the model to weigh the importance of...	null	null	null	null	null	null	null	null
The 5 causes of inflation are increase in wages, increase in the price of raw materials, increase in taxes, decline in productivity, increase in money supply.	Provide your response to the following prompt: <prompt> What are the primary causes of inflation? Explain each cause clearly and concisely, defining any technical terms used. Organize your response using bullet points for readability, ensuring all key factors are covered without unnecessary detail. </prompt> Adhere t...	- Demand-Pull Inflation: Occurs when aggregate demand in an economy exceeds aggregate supply. This imbalance can arise from strong consumer spending, business investment, government expenditure, or exports. When demand grows faster than the economy’s capacity to produce goods and services, prices rise. Think of it ...	null	null	null	null	null	null	null	null

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This dataset is a remastered version prepared using Adaption's Adaptive Data platform.

adaption-Adaptive Math 2

This dataset consists of text completions identifying specific branches of mathematics, such as Linear Algebra, Calculus, and Statistics. Each sample provides a single label representing a distinct mathematical subject area. The content is formatted as short text strings suitable for classification or topic modeling tasks.