d-s-b/synthetic-reasoning-dataset · Datasets at Hugging Face

query stringlengths 26 315	level_of_reasoning stringclasses 3 values
Design a beginner-friendly 14-day Python learning plan that fits into 30 minutes per day and outline the topics to study each day.	low_reasoning
A shopper buys 2 jackets at $59.99 each and 3 hats at $14.95 each. What is the total cost before tax?	low_reasoning
What is the largest planet in our solar system?	no_reasoning
Describe the main steps to prove that the square root of 2 is irrational.	high_reasoning
What steps would you take to optimize a binary search implementation in Python and explain why its time complexity is O(log n)?	high_reasoning
A train travels at 60 km/h for 2 hours, then at 80 km/h for 1.5 hours. What is the total distance traveled?	low_reasoning
Explain how to bake a chocolate cake from scratch, listing ingredients, oven temperature, and a step-by-step procedure.	high_reasoning
What are the basic steps to bake a chocolate chip cookie from scratch?	low_reasoning
What are the main differences between supervised and unsupervised learning, and can you provide a simple example for each?	low_reasoning
A recipe calls for 3/4 cup of sugar. If you only have a 1/3 cup measuring cup, how many times do you fill it to reach 3/4 cup?	low_reasoning
A recipe makes 6 servings with 2 cups of flour. How many cups of flour are needed for 15 servings, and how much sugar is needed if the original recipe uses 0.5 cups of sugar for 6 servings?	low_reasoning
Two trains start from cities A and B toward a common destination. Train 1 departs A at 08:15 traveling at 85 km/h, and Train 2 departs B at 08:45 traveling at 95 km/h. The distance between A and B is 420 km. At what time will the trains meet, and what distances will each have traveled by then?	high_reasoning
Which country has the largest population in South America, and what is its capital city?	low_reasoning
What is the capital city of Canada?	low_reasoning
A car travels 120 miles at 60 mph and then 90 miles at 30 mph. What is the average speed for the entire trip?	low_reasoning
What is the capital city of Japan?	no_reasoning
If a train travels at 60 miles per hour for 2.5 hours, how far does it travel?	low_reasoning
What is the area of a circle with radius 7 cm?	low_reasoning
Compute the area of a triangle with base 10 and height 6 and explain the steps.	low_reasoning
If a train travels at 80 km/h for 1.5 hours, what distance does it cover?	low_reasoning
A train travels at 60 mph for 2.5 hours. How far does it travel?	low_reasoning
What is the capital of France?	no_reasoning
What is the result of 837 divided by 9?	no_reasoning
Propose a data-driven, step-by-step plan for achieving carbon neutrality for a mid-size manufacturing company within 10 years, including milestones, budget estimates, risk assessment, and metrics to track progress.	high_reasoning
What is the derivative of x^2 with respect to x?	no_reasoning
What is the capital city of France?	no_reasoning
Explain how to implement a scalable chat system using microservices, detailing the architecture, data flow, fault tolerance, and trade-offs.	high_reasoning
Describe, in simple terms, how a solar photovoltaic panel turns sunlight into electrical energy and name the main components involved.	low_reasoning
If you buy 3 apples at $1.20 each and pay with a $10 bill, how much change do you receive?	low_reasoning
Explain the steps to balance the chemical equation Fe + O2 -> Fe2O3 and provide the balanced equation.	high_reasoning
What is the derivative of x^2 with respect to x, evaluated at x = 3?	low_reasoning
What are the best approaches to optimize a SQL query that performs a full table scan on a large table and still returns results within acceptable latency?	high_reasoning
Given a list of integers, return the longest increasing subsequence and explain the algorithm with its time complexity.	high_reasoning
A rectangle has a length of 8 cm and a width that is 3 cm shorter than the length. What is its area in square centimeters?	low_reasoning
Explain how to calculate compound interest for a principal amount P with annual interest rate r over t years.	low_reasoning
Outline a high-level plan to migrate a monolithic web application to a microservices architecture, including suggested tech stack, data management considerations, and deployment strategy.	high_reasoning
Explain, step by step, how to prove that the alternating harmonic series 1 - 1/2 + 1/3 - 1/4 + ... converges and equals ln(2), including the key theorems and any conditions required.	high_reasoning
A car travels at 60 kilometers per hour for 3 hours. How many kilometers does it travel in total?	low_reasoning
Given a dataset of daily temperatures for the past year, describe how you would identify the seasonal cycle and build a simple forecast model, including data preprocessing steps and how you would evaluate forecast accuracy.	high_reasoning
A customer buys 3 apples at $0.75 each and 2 bananas at $1.25 each. What is the total cost of the fruits?	low_reasoning
If a bakery sells 3 chocolate cookies for $5, how much revenue would they make from selling 9 cookies?	low_reasoning
A right triangle has legs of length 3 and 4. What is the length of the hypotenuse, and show your calculation.	low_reasoning
Explain how to solve the quadratic equation x^2 - 5x + 6 = 0 using the quadratic formula and provide the roots.	high_reasoning
If a fair six-sided die is rolled twice, what is the probability that the sum is 7, and show your calculation steps.	high_reasoning
A store offers a 15% discount on a $120 item. What is the final price after the discount?	low_reasoning
If a credit card balance of $1,000 accrues 1.5% monthly interest compounded monthly, what is the balance after 12 months?	low_reasoning
From a hat containing 3 red balls and 2 blue balls, you draw two balls without replacement. What is the probability that exactly one red ball is drawn?	high_reasoning
What is the sum of the first 10 positive integers?	low_reasoning
Explain the steps to calculate the area of a circle given its radius.	low_reasoning
Convert 7.5 kilometers to miles.	low_reasoning
Describe how to implement a basic convolutional neural network from scratch in Python using only NumPy, including forward pass, backpropagation, a simple training loop, and a brief discussion of computational complexity.	high_reasoning
What is the tallest mountain in the world?	no_reasoning
If a rectangle has length three times its width and the perimeter is 48 units, what are the dimensions of the rectangle?	low_reasoning
Design a strategy to optimize delivery routes for a fleet of vehicles with limited capacity (the capacitated vehicle routing problem) and outline how you would evaluate its performance under different demand and traffic scenarios.	high_reasoning
Compute the derivative of x^2 with respect to x and evaluate at x = 3.	low_reasoning
Provide a concise, step-by-step recipe to bake a chocolate cake, including ingredients, oven temperature, and timing.	low_reasoning
A bakery sells croissants in packs of 6 and muffins in packs of 4. If you buy 3 croissant packs and 5 muffin packs, how many items do you have in total?	low_reasoning
What are the main differences between machine learning and deep learning, and can you give a simple example of each?	low_reasoning
What is the chemical symbol for gold?	no_reasoning
A bat and a ball together cost $1.10, and the bat costs $1.00 more than the ball. How much does the ball cost?	low_reasoning
Explain the water cycle in simple terms and list the main stages.	low_reasoning
What is the capital of Japan?	no_reasoning
Explain how to solve a system of two linear equations by elimination, and provide a step-by-step example.	high_reasoning
Describe the key differences between supervised and unsupervised learning, and provide a simple real-world example for each.	low_reasoning
Outline a plan to migrate a legacy monolithic application to a microservices architecture, including phased steps, risk assessment, and success metrics.	high_reasoning
A factory uses two machines, A and B. Machine A accounts for 60% of production and has a 2% defect rate, while Machine B accounts for 40% and has a 1% defect rate. If a randomly selected unit is defective, what is the probability that it was produced by Machine A?	high_reasoning
Provide a proof by contradiction that there are infinitely many prime numbers.	high_reasoning
Provide a step-by-step plan for migrating an e-commerce platform from a monolithic architecture to microservices, detailing module decomposition, data migration strategy with eventual consistency, deployment milestones, and how to monitor and rollback changes to ensure zero downtime.	high_reasoning
Explain the main steps of photosynthesis in a simple way and give a short analogy for a younger student.	low_reasoning
What is the derivative of sin(x) with respect to x?	no_reasoning
Describe the steps of photosynthesis in plants and explain how light energy is converted into chemical energy.	high_reasoning
Explain the difference between supervised and unsupervised learning and provide a simple example for each.	low_reasoning
Generate a simple plan for training a binary classifier on a small dataset, including data preprocessing, model selection, and evaluation metrics.	low_reasoning
In a recipe, the ratio is 2 cups of flour for every 3 cups of milk. If you use 9 cups of milk, how many cups of flour are required?	low_reasoning
Compute the sum of the first 20 positive integers.	low_reasoning
A bakery offers cupcakes at $3 each and muffins at $2.50 each. If you buy 4 cupcakes and 3 muffins, what is the total cost?	low_reasoning
How would you design a robust machine learning workflow for predicting customer churn when the data has class imbalance, feature sparsity, and potential data drift, including data preprocessing, model selection, evaluation metrics, and deployment considerations?	high_reasoning
What is the time complexity of binary search on a sorted array, and how would you explain it to a beginner?	low_reasoning
Design a 3-day itinerary for Kyoto that minimizes travel time, avoids peak hours, and balances visits to temples, shrines, cafes, and food experiences.	high_reasoning
A puzzle: If two trains start from the same point, train A travels at 60 mph and leaves at 9:00 AM, train B travels at 75 mph and leaves at 9:20 AM in the same direction. After how many miles will train B overtake train A?	high_reasoning
What is the minimum number of coins needed to make 37 cents using denominations of 1, 5, and 10 cents?	low_reasoning
Calculate the total cost if an item priced at $24.99 is discounted by 15% and then a 7.5% sales tax is applied.	low_reasoning
Prove that the square root of 2 is irrational using a proof by contradiction.	high_reasoning
If a phone battery loses 5% charge per hour, how many hours until it drops from 100% to 60%?	low_reasoning
Explain, step by step, how to compute the derivative of sin(x^2) with respect to x using the chain rule, and then evaluate the derivative at x = 0.	high_reasoning
Explain in simple terms how photosynthesis works.	low_reasoning
A rectangle has length 8 cm and width 3 cm. What is its area in square centimeters?	low_reasoning
What is the next prime number after 1000, and provide a brief justification for its primality.	high_reasoning
Describe the steps of the quicksort algorithm and explain why its average-case time complexity is O(n log n).	high_reasoning
Explain how to bake a chocolate cake from scratch, listing all ingredients and typical baking times and temperatures.	low_reasoning
Explain how photosynthesis works in plants.	low_reasoning
Explain step by step how to solve the system of linear equations: 2x + 3y = 5 and x - y = 1.	high_reasoning
A rectangle has width 60 meters and height 40 meters. You plant a tree every 5 meters along the perimeter, starting at one corner. Additionally, you plant a tree every 4 meters along each of the two longer sides (the 60-meter sides), but you do not plant trees at corners twice. How many trees are planted in total?	high_reasoning
Create a SQL query that returns customers whose total order value exceeds $1,000 in the last 12 months, and explain how to optimize it for very large databases.	high_reasoning
List three common methods to back up personal data on a laptop and briefly note one advantage of each.	low_reasoning
Solve for x in the equation 7x - 4 = 3x + 20 and show the steps.	low_reasoning
Outline a plan to train a text classification model that labels product reviews as positive or negative, including data preprocessing, model architecture, evaluation strategy, and potential ethical considerations.	high_reasoning
Describe a step-by-step approach to design a caching layer for a REST API that maximizes cache hit rate while staying within a fixed memory budget. Include data structures, eviction policy rationale, and a qualitative complexity/throughput analysis.	high_reasoning
How would you optimize a SQL query to efficiently use an index on a large table with millions of rows, and what metrics would you use to verify the improvement?	high_reasoning
If a car is traveling at 50 km/h for 3 hours, how far will it travel in kilometers?	low_reasoning

Design a beginner-friendly 14-day Python learning plan that fits into 30 minutes per day and outline the topics to study each day.

low_reasoning

A shopper buys 2 jackets at $59.99 each and 3 hats at $14.95 each. What is the total cost before tax?

low_reasoning

What is the largest planet in our solar system?

no_reasoning

Describe the main steps to prove that the square root of 2 is irrational.

high_reasoning

What steps would you take to optimize a binary search implementation in Python and explain why its time complexity is O(log n)?

high_reasoning

A train travels at 60 km/h for 2 hours, then at 80 km/h for 1.5 hours. What is the total distance traveled?

low_reasoning

Explain how to bake a chocolate cake from scratch, listing ingredients, oven temperature, and a step-by-step procedure.

high_reasoning

What are the basic steps to bake a chocolate chip cookie from scratch?

low_reasoning

What are the main differences between supervised and unsupervised learning, and can you provide a simple example for each?

low_reasoning

A recipe calls for 3/4 cup of sugar. If you only have a 1/3 cup measuring cup, how many times do you fill it to reach 3/4 cup?

low_reasoning

A recipe makes 6 servings with 2 cups of flour. How many cups of flour are needed for 15 servings, and how much sugar is needed if the original recipe uses 0.5 cups of sugar for 6 servings?

low_reasoning

Two trains start from cities A and B toward a common destination. Train 1 departs A at 08:15 traveling at 85 km/h, and Train 2 departs B at 08:45 traveling at 95 km/h. The distance between A and B is 420 km. At what time will the trains meet, and what distances will each have traveled by then?

high_reasoning

Which country has the largest population in South America, and what is its capital city?

low_reasoning

What is the capital city of Canada?

low_reasoning

A car travels 120 miles at 60 mph and then 90 miles at 30 mph. What is the average speed for the entire trip?

low_reasoning

What is the capital city of Japan?

no_reasoning

If a train travels at 60 miles per hour for 2.5 hours, how far does it travel?

low_reasoning

What is the area of a circle with radius 7 cm?

low_reasoning

Compute the area of a triangle with base 10 and height 6 and explain the steps.

low_reasoning

If a train travels at 80 km/h for 1.5 hours, what distance does it cover?

low_reasoning

A train travels at 60 mph for 2.5 hours. How far does it travel?

low_reasoning

What is the capital of France?

no_reasoning

What is the result of 837 divided by 9?

no_reasoning

Propose a data-driven, step-by-step plan for achieving carbon neutrality for a mid-size manufacturing company within 10 years, including milestones, budget estimates, risk assessment, and metrics to track progress.

high_reasoning

What is the derivative of x^2 with respect to x?

no_reasoning

What is the capital city of France?

no_reasoning

Explain how to implement a scalable chat system using microservices, detailing the architecture, data flow, fault tolerance, and trade-offs.

high_reasoning

Describe, in simple terms, how a solar photovoltaic panel turns sunlight into electrical energy and name the main components involved.

low_reasoning

If you buy 3 apples at $1.20 each and pay with a $10 bill, how much change do you receive?

low_reasoning

Explain the steps to balance the chemical equation Fe + O2 -> Fe2O3 and provide the balanced equation.

high_reasoning

What is the derivative of x^2 with respect to x, evaluated at x = 3?

low_reasoning

What are the best approaches to optimize a SQL query that performs a full table scan on a large table and still returns results within acceptable latency?

high_reasoning

Given a list of integers, return the longest increasing subsequence and explain the algorithm with its time complexity.

high_reasoning

A rectangle has a length of 8 cm and a width that is 3 cm shorter than the length. What is its area in square centimeters?

low_reasoning

Explain how to calculate compound interest for a principal amount P with annual interest rate r over t years.

low_reasoning

Outline a high-level plan to migrate a monolithic web application to a microservices architecture, including suggested tech stack, data management considerations, and deployment strategy.

high_reasoning

Explain, step by step, how to prove that the alternating harmonic series 1 - 1/2 + 1/3 - 1/4 + ... converges and equals ln(2), including the key theorems and any conditions required.

high_reasoning

A car travels at 60 kilometers per hour for 3 hours. How many kilometers does it travel in total?

low_reasoning

Given a dataset of daily temperatures for the past year, describe how you would identify the seasonal cycle and build a simple forecast model, including data preprocessing steps and how you would evaluate forecast accuracy.

high_reasoning

A customer buys 3 apples at $0.75 each and 2 bananas at $1.25 each. What is the total cost of the fruits?

low_reasoning

If a bakery sells 3 chocolate cookies for $5, how much revenue would they make from selling 9 cookies?

low_reasoning

A right triangle has legs of length 3 and 4. What is the length of the hypotenuse, and show your calculation.

low_reasoning

Explain how to solve the quadratic equation x^2 - 5x + 6 = 0 using the quadratic formula and provide the roots.

high_reasoning

If a fair six-sided die is rolled twice, what is the probability that the sum is 7, and show your calculation steps.

high_reasoning

A store offers a 15% discount on a $120 item. What is the final price after the discount?

low_reasoning

If a credit card balance of $1,000 accrues 1.5% monthly interest compounded monthly, what is the balance after 12 months?

low_reasoning

From a hat containing 3 red balls and 2 blue balls, you draw two balls without replacement. What is the probability that exactly one red ball is drawn?

high_reasoning

What is the sum of the first 10 positive integers?

low_reasoning

Explain the steps to calculate the area of a circle given its radius.

low_reasoning

Convert 7.5 kilometers to miles.

low_reasoning

Describe how to implement a basic convolutional neural network from scratch in Python using only NumPy, including forward pass, backpropagation, a simple training loop, and a brief discussion of computational complexity.

high_reasoning

What is the tallest mountain in the world?

no_reasoning

If a rectangle has length three times its width and the perimeter is 48 units, what are the dimensions of the rectangle?

low_reasoning

Design a strategy to optimize delivery routes for a fleet of vehicles with limited capacity (the capacitated vehicle routing problem) and outline how you would evaluate its performance under different demand and traffic scenarios.

high_reasoning

Compute the derivative of x^2 with respect to x and evaluate at x = 3.

low_reasoning

Provide a concise, step-by-step recipe to bake a chocolate cake, including ingredients, oven temperature, and timing.

low_reasoning

A bakery sells croissants in packs of 6 and muffins in packs of 4. If you buy 3 croissant packs and 5 muffin packs, how many items do you have in total?

low_reasoning

What are the main differences between machine learning and deep learning, and can you give a simple example of each?

low_reasoning

What is the chemical symbol for gold?

no_reasoning

A bat and a ball together cost $1.10, and the bat costs $1.00 more than the ball. How much does the ball cost?

low_reasoning

Explain the water cycle in simple terms and list the main stages.

low_reasoning

What is the capital of Japan?

no_reasoning

Explain how to solve a system of two linear equations by elimination, and provide a step-by-step example.

high_reasoning

Describe the key differences between supervised and unsupervised learning, and provide a simple real-world example for each.

low_reasoning

Outline a plan to migrate a legacy monolithic application to a microservices architecture, including phased steps, risk assessment, and success metrics.

high_reasoning

A factory uses two machines, A and B. Machine A accounts for 60% of production and has a 2% defect rate, while Machine B accounts for 40% and has a 1% defect rate. If a randomly selected unit is defective, what is the probability that it was produced by Machine A?

high_reasoning

Provide a proof by contradiction that there are infinitely many prime numbers.

high_reasoning

Provide a step-by-step plan for migrating an e-commerce platform from a monolithic architecture to microservices, detailing module decomposition, data migration strategy with eventual consistency, deployment milestones, and how to monitor and rollback changes to ensure zero downtime.

high_reasoning

Explain the main steps of photosynthesis in a simple way and give a short analogy for a younger student.

low_reasoning

What is the derivative of sin(x) with respect to x?

no_reasoning

Describe the steps of photosynthesis in plants and explain how light energy is converted into chemical energy.

high_reasoning

Explain the difference between supervised and unsupervised learning and provide a simple example for each.

low_reasoning

Generate a simple plan for training a binary classifier on a small dataset, including data preprocessing, model selection, and evaluation metrics.

low_reasoning

In a recipe, the ratio is 2 cups of flour for every 3 cups of milk. If you use 9 cups of milk, how many cups of flour are required?

low_reasoning

Compute the sum of the first 20 positive integers.

low_reasoning

A bakery offers cupcakes at $3 each and muffins at $2.50 each. If you buy 4 cupcakes and 3 muffins, what is the total cost?

low_reasoning

How would you design a robust machine learning workflow for predicting customer churn when the data has class imbalance, feature sparsity, and potential data drift, including data preprocessing, model selection, evaluation metrics, and deployment considerations?

high_reasoning

What is the time complexity of binary search on a sorted array, and how would you explain it to a beginner?

low_reasoning

Design a 3-day itinerary for Kyoto that minimizes travel time, avoids peak hours, and balances visits to temples, shrines, cafes, and food experiences.

high_reasoning

A puzzle: If two trains start from the same point, train A travels at 60 mph and leaves at 9:00 AM, train B travels at 75 mph and leaves at 9:20 AM in the same direction. After how many miles will train B overtake train A?

high_reasoning

What is the minimum number of coins needed to make 37 cents using denominations of 1, 5, and 10 cents?

low_reasoning

Calculate the total cost if an item priced at $24.99 is discounted by 15% and then a 7.5% sales tax is applied.

low_reasoning

Prove that the square root of 2 is irrational using a proof by contradiction.

high_reasoning

If a phone battery loses 5% charge per hour, how many hours until it drops from 100% to 60%?

low_reasoning

Explain, step by step, how to compute the derivative of sin(x^2) with respect to x using the chain rule, and then evaluate the derivative at x = 0.

high_reasoning

Explain in simple terms how photosynthesis works.

low_reasoning

A rectangle has length 8 cm and width 3 cm. What is its area in square centimeters?

low_reasoning

What is the next prime number after 1000, and provide a brief justification for its primality.

high_reasoning

Describe the steps of the quicksort algorithm and explain why its average-case time complexity is O(n log n).

high_reasoning

Explain how to bake a chocolate cake from scratch, listing all ingredients and typical baking times and temperatures.

low_reasoning

Explain how photosynthesis works in plants.

low_reasoning

Explain step by step how to solve the system of linear equations: 2x + 3y = 5 and x - y = 1.

high_reasoning

A rectangle has width 60 meters and height 40 meters. You plant a tree every 5 meters along the perimeter, starting at one corner. Additionally, you plant a tree every 4 meters along each of the two longer sides (the 60-meter sides), but you do not plant trees at corners twice. How many trees are planted in total?

high_reasoning

Create a SQL query that returns customers whose total order value exceeds $1,000 in the last 12 months, and explain how to optimize it for very large databases.

high_reasoning

List three common methods to back up personal data on a laptop and briefly note one advantage of each.

low_reasoning

Solve for x in the equation 7x - 4 = 3x + 20 and show the steps.

low_reasoning

Outline a plan to train a text classification model that labels product reviews as positive or negative, including data preprocessing, model architecture, evaluation strategy, and potential ethical considerations.

high_reasoning

Describe a step-by-step approach to design a caching layer for a REST API that maximizes cache hit rate while staying within a fixed memory budget. Include data structures, eviction policy rationale, and a qualitative complexity/throughput analysis.

high_reasoning

How would you optimize a SQL query to efficiently use an index on a large table with millions of rows, and what metrics would you use to verify the improvement?

high_reasoning

If a car is traveling at 50 km/h for 3 hours, how far will it travel in kilometers?

low_reasoning

Datasets:

d-s-b
/

synthetic-reasoning-dataset

Models trained or fine-tuned on d-s-b/synthetic-reasoning-dataset

d-s-b/Router