Delta Learning
Collection
Datasets and models from "The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains" (https://arxiv.org/abs/2507.06187). • 5 items • Updated
prompt stringlengths 47 51.7k | chosen listlengths 2 2 | rejected listlengths 2 2 |
|---|---|---|
Dr. Smith, a tenured chemistry professor known for her innovative research in drug discovery, is working on a new pharmaceutical compound. She models the concentration of the compound in the bloodstream over time using the polynomial function \( C(t) = -2t^3 + 9t^2 + 12t \), where \( C(t) \) is the concentration in mg/... | [
{
"content": "Dr. Smith, a tenured chemistry professor known for her innovative research in drug discovery, is working on a new pharmaceutical compound. She models the concentration of the compound in the bloodstream over time using the polynomial function \\( C(t) = -2t^3 + 9t^2 + 12t \\), where \\( C(t) \\) i... | [
{
"content": "Dr. Smith, a tenured chemistry professor known for her innovative research in drug discovery, is working on a new pharmaceutical compound. She models the concentration of the compound in the bloodstream over time using the polynomial function \\( C(t) = -2t^3 + 9t^2 + 12t \\), where \\( C(t) \\) i... |
A historian specializing in the history of science investigates the spread of scientific knowledge during the Scientific Revolution. They model the influence of key scientific discoveries using a function \( f(t) \) representing the level of scientific influence at time \( t \) (measured in years since 1500). The histo... | [
{
"content": "A historian specializing in the history of science investigates the spread of scientific knowledge during the Scientific Revolution. They model the influence of key scientific discoveries using a function \\( f(t) \\) representing the level of scientific influence at time \\( t \\) (measured in ye... | [
{
"content": "A historian specializing in the history of science investigates the spread of scientific knowledge during the Scientific Revolution. They model the influence of key scientific discoveries using a function \\( f(t) \\) representing the level of scientific influence at time \\( t \\) (measured in ye... |
A sports store owner named Alex needs to stock up on basketballs, soccer balls, and tennis rackets to meet customer demands. Alex ordered 50 basketballs, 40 soccer balls, and 30 tennis rackets from a supplier. Each basketball costs $15, each soccer ball costs $12, and each tennis racket costs $20. The supplier offers a... | [
{
"content": "A sports store owner named Alex needs to stock up on basketballs, soccer balls, and tennis rackets to meet customer demands. Alex ordered 50 basketballs, 40 soccer balls, and 30 tennis rackets from a supplier. Each basketball costs $15, each soccer ball costs $12, and each tennis racket costs $20.... | [
{
"content": "A sports store owner named Alex needs to stock up on basketballs, soccer balls, and tennis rackets to meet customer demands. Alex ordered 50 basketballs, 40 soccer balls, and 30 tennis rackets from a supplier. Each basketball costs $15, each soccer ball costs $12, and each tennis racket costs $20.... |
A curriculum specialist is designing a cross-curricular project that integrates mathematics, art, and music to engage students' multiple intelligences. The project involves creating a large mosaic mural on a wall, where each tile in the mosaic represents a musical note, and the arrangement of tiles follows a specific m... | [
{
"content": "A curriculum specialist is designing a cross-curricular project that integrates mathematics, art, and music to engage students' multiple intelligences. The project involves creating a large mosaic mural on a wall, where each tile in the mosaic represents a musical note, and the arrangement of tile... | [
{
"content": "A curriculum specialist is designing a cross-curricular project that integrates mathematics, art, and music to engage students' multiple intelligences. The project involves creating a large mosaic mural on a wall, where each tile in the mosaic represents a musical note, and the arrangement of tile... |
A financial consultant is tasked with determining the optimal insurance coverage for a medium-sized manufacturing company. The company's annual revenue is $50 million, and it has identified two types of risks: operational risk and natural disaster risk. The company estimates that the potential financial loss from opera... | [
{
"content": "A financial consultant is tasked with determining the optimal insurance coverage for a medium-sized manufacturing company. The company's annual revenue is $50 million, and it has identified two types of risks: operational risk and natural disaster risk. The company estimates that the potential fin... | [
{
"content": "A financial consultant is tasked with determining the optimal insurance coverage for a medium-sized manufacturing company. The company's annual revenue is $50 million, and it has identified two types of risks: operational risk and natural disaster risk. The company estimates that the potential fin... |
Dr. Eliana, a close friend of Moses and a renowned scientist, is researching the effects of a new experimental drug on bacterial growth. She models the population of bacteria \( P(t) \) at time \( t \) in hours using the following differential equation:
\[ \frac{dP}{dt} = rP \left(1 - \frac{P}{K}\right) - \frac{aP}{b ... | [
{
"content": "Dr. Eliana, a close friend of Moses and a renowned scientist, is researching the effects of a new experimental drug on bacterial growth. She models the population of bacteria \\( P(t) \\) at time \\( t \\) in hours using the following differential equation:\n\n\\[ \\frac{dP}{dt} = rP \\left(1 - \\... | [
{
"content": "Dr. Eliana, a close friend of Moses and a renowned scientist, is researching the effects of a new experimental drug on bacterial growth. She models the population of bacteria \\( P(t) \\) at time \\( t \\) in hours using the following differential equation:\n\n\\[ \\frac{dP}{dt} = rP \\left(1 - \\... |
Dr. Kindheart is a compassionate transplant surgeon who performs kidney transplants. She explains the procedure carefully to her patients, making sure to alleviate their fears and concerns. On Monday, Dr. Kindheart has scheduled 6 kidney transplant consultations, each lasting 45 minutes. During each consultation, she s... | [
{
"content": "Dr. Kindheart is a compassionate transplant surgeon who performs kidney transplants. She explains the procedure carefully to her patients, making sure to alleviate their fears and concerns. On Monday, Dr. Kindheart has scheduled 6 kidney transplant consultations, each lasting 45 minutes. During ea... | [
{
"content": "Dr. Kindheart is a compassionate transplant surgeon who performs kidney transplants. She explains the procedure carefully to her patients, making sure to alleviate their fears and concerns. On Monday, Dr. Kindheart has scheduled 6 kidney transplant consultations, each lasting 45 minutes. During ea... |
Can you transform this contemporary JavaScript code into a version that could be comprehended and processed flawlessly by earlier generations of web browsers? The given code is: let colors = ["red", "blue", "green"];
Include bolded sections in your response. | [
{
"content": "Can you transform this contemporary JavaScript code into a version that could be comprehended and processed flawlessly by earlier generations of web browsers? The given code is: let colors = [\"red\", \"blue\", \"green\"];\nInclude bolded sections in your response.",
"role": "user"
},
{
... | [
{
"content": "Can you transform this contemporary JavaScript code into a version that could be comprehended and processed flawlessly by earlier generations of web browsers? The given code is: let colors = [\"red\", \"blue\", \"green\"];\nInclude bolded sections in your response.",
"role": "user"
},
{
... |
Mr. Thompson, a proud science teacher at John F. Kennedy Middle School, is planning an experimental demonstration for his advanced students. He has a cylindrical tank with a height of 10 meters and a radius of 2 meters that he uses to show fluid dynamics principles.
1. Mr. Thompson wants to demonstrate the Torricelli’... | [
{
"content": "Mr. Thompson, a proud science teacher at John F. Kennedy Middle School, is planning an experimental demonstration for his advanced students. He has a cylindrical tank with a height of 10 meters and a radius of 2 meters that he uses to show fluid dynamics principles.\n\n1. Mr. Thompson wants to dem... | [
{
"content": "Mr. Thompson, a proud science teacher at John F. Kennedy Middle School, is planning an experimental demonstration for his advanced students. He has a cylindrical tank with a height of 10 meters and a radius of 2 meters that he uses to show fluid dynamics principles.\n\n1. Mr. Thompson wants to dem... |
Emily has 17 stickers in her collection. She decides to share them with her classmates, giving 3 stickers to each classmate, until she has only 2 stickers left. How many classmates did Emily share her stickers with?
Include bolded sections in your response. | [
{
"content": "Emily has 17 stickers in her collection. She decides to share them with her classmates, giving 3 stickers to each classmate, until she has only 2 stickers left. How many classmates did Emily share her stickers with?\nInclude bolded sections in your response.",
"role": "user"
},
{
"cont... | [
{
"content": "Emily has 17 stickers in her collection. She decides to share them with her classmates, giving 3 stickers to each classmate, until she has only 2 stickers left. How many classmates did Emily share her stickers with?\nInclude bolded sections in your response.",
"role": "user"
},
{
"cont... |
Alex is a business owner who wants to streamline their operations by integrating the Microsoft Graph API into their company's workflow. They have identified that using the API will reduce the time spent on manual data entry by 40%. Currently, their team spends 50 hours per week on data entry tasks. Additionally, by aut... | [
{
"content": "Alex is a business owner who wants to streamline their operations by integrating the Microsoft Graph API into their company's workflow. They have identified that using the API will reduce the time spent on manual data entry by 40%. Currently, their team spends 50 hours per week on data entry tasks... | [
{
"content": "Alex is a business owner who wants to streamline their operations by integrating the Microsoft Graph API into their company's workflow. They have identified that using the API will reduce the time spent on manual data entry by 40%. Currently, their team spends 50 hours per week on data entry tasks... |
The vineyard owner produces an exclusive house wine blend by mixing two types of grapes: Type A and Type B. The vineyard has two fields: Field 1 and Field 2. Field 1 produces 30% more Type A grapes per acre than Field 2, while Field 2 produces 50% more Type B grapes per acre than Field 1.
Sub-problem 1:
Given that Fie... | [
{
"content": "The vineyard owner produces an exclusive house wine blend by mixing two types of grapes: Type A and Type B. The vineyard has two fields: Field 1 and Field 2. Field 1 produces 30% more Type A grapes per acre than Field 2, while Field 2 produces 50% more Type B grapes per acre than Field 1.\n\nSub-p... | [
{
"content": "The vineyard owner produces an exclusive house wine blend by mixing two types of grapes: Type A and Type B. The vineyard has two fields: Field 1 and Field 2. Field 1 produces 30% more Type A grapes per acre than Field 2, while Field 2 produces 50% more Type B grapes per acre than Field 1.\n\nSub-p... |
A contemporary painter specializes in modern aviation art and seeks to create a large mural of a new jet design. The mural will be a combination of geometric shapes and curves that reflect the elegance and innovation of modern flight technology. The painter has designed the mural to include a series of interlocking ell... | [
{
"content": "A contemporary painter specializes in modern aviation art and seeks to create a large mural of a new jet design. The mural will be a combination of geometric shapes and curves that reflect the elegance and innovation of modern flight technology. The painter has designed the mural to include a seri... | [
{
"content": "A contemporary painter specializes in modern aviation art and seeks to create a large mural of a new jet design. The mural will be a combination of geometric shapes and curves that reflect the elegance and innovation of modern flight technology. The painter has designed the mural to include a seri... |
Detective Martinez is working on a large-scale investigation involving several cases. She has to review evidence for each case before presenting it at trial. She has 5 cases to handle this week. For each case, she needs to spend 3 hours reviewing evidence and an additional 2 hours preparing her presentation. However, s... | [
{
"content": "Detective Martinez is working on a large-scale investigation involving several cases. She has to review evidence for each case before presenting it at trial. She has 5 cases to handle this week. For each case, she needs to spend 3 hours reviewing evidence and an additional 2 hours preparing her pr... | [
{
"content": "Detective Martinez is working on a large-scale investigation involving several cases. She has to review evidence for each case before presenting it at trial. She has 5 cases to handle this week. For each case, she needs to spend 3 hours reviewing evidence and an additional 2 hours preparing her pr... |
Develop a Keras-based script designed to train a Deep Convolutional Generative Adversarial Network (DCGAN), utilizing the CIFAR-10 dataset, ensuring multi-level reasoning is enabled through the script.
Include bolded sections in your response. | [
{
"content": "Develop a Keras-based script designed to train a Deep Convolutional Generative Adversarial Network (DCGAN), utilizing the CIFAR-10 dataset, ensuring multi-level reasoning is enabled through the script.\nInclude bolded sections in your response.",
"role": "user"
},
{
"content": "**DCGAN... | [
{
"content": "Develop a Keras-based script designed to train a Deep Convolutional Generative Adversarial Network (DCGAN), utilizing the CIFAR-10 dataset, ensuring multi-level reasoning is enabled through the script.\nInclude bolded sections in your response.",
"role": "user"
},
{
"content": "**DCGAN... |
Write a python function to calculate the average points per game for a basketball player over a series of games. The function should take a list of integers as input, where each integer represents the points scored by the player in a single game. The function should return a float representing the average points per ga... | [
{
"content": "Write a python function to calculate the average points per game for a basketball player over a series of games. The function should take a list of integers as input, where each integer represents the points scored by the player in a single game. The function should return a float representing the... | [
{
"content": "Write a python function to calculate the average points per game for a basketball player over a series of games. The function should take a list of integers as input, where each integer represents the points scored by the player in a single game. The function should return a float representing the... |
An independent documentary filmmaker is working on a sensitive project that requires them to securely transmit large amounts of encrypted data over the internet. During their work, they have encountered cyber threats attempting to break their encryption. To safeguard their data, they decide to use a combination of RSA ... | [
{
"content": "An independent documentary filmmaker is working on a sensitive project that requires them to securely transmit large amounts of encrypted data over the internet. During their work, they have encountered cyber threats attempting to break their encryption. To safeguard their data, they decide to use... | [
{
"content": "An independent documentary filmmaker is working on a sensitive project that requires them to securely transmit large amounts of encrypted data over the internet. During their work, they have encountered cyber threats attempting to break their encryption. To safeguard their data, they decide to use... |
What would be the best composition for the square painting: in the painting l’m planning to show the opened glass door and outside the deck and on the deck growing beautiful apple tree and everywhere the calm water
Include bolded sections in your response. | [
{
"content": "What would be the best composition for the square painting: in the painting l’m planning to show the opened glass door and outside the deck and on the deck growing beautiful apple tree and everywhere the calm water\nInclude bolded sections in your response.",
"role": "user"
},
{
"conte... | [
{
"content": "What would be the best composition for the square painting: in the painting l’m planning to show the opened glass door and outside the deck and on the deck growing beautiful apple tree and everywhere the calm water\nInclude bolded sections in your response.",
"role": "user"
},
{
"conte... |
Write a python function to read a text file containing historical events from Moldova, with each line formatted as "Year: Event description". The function should take the filename as input and return a dictionary where the keys are the years (as integers) and the values are lists of event descriptions that occurred in ... | [
{
"content": "Write a python function to read a text file containing historical events from Moldova, with each line formatted as \"Year: Event description\". The function should take the filename as input and return a dictionary where the keys are the years (as integers) and the values are lists of event descri... | [
{
"content": "Write a python function to read a text file containing historical events from Moldova, with each line formatted as \"Year: Event description\". The function should take the filename as input and return a dictionary where the keys are the years (as integers) and the values are lists of event descri... |
Alex's boat engine failed on a lake. At the time, Alex was traveling with Ben and Charlie. So, the three decided to row the boat back to the dock, which was 12 miles away. For the first 4 miles, Alex navigated as Ben and Charlie rowed at a speed of 5 miles per hour. Then, for the next 4 miles, Ben navigated, as Alex an... | [
{
"content": "Alex's boat engine failed on a lake. At the time, Alex was traveling with Ben and Charlie. So, the three decided to row the boat back to the dock, which was 12 miles away. For the first 4 miles, Alex navigated as Ben and Charlie rowed at a speed of 5 miles per hour. Then, for the next 4 miles, Ben... | [
{
"content": "Alex's boat engine failed on a lake. At the time, Alex was traveling with Ben and Charlie. So, the three decided to row the boat back to the dock, which was 12 miles away. For the first 4 miles, Alex navigated as Ben and Charlie rowed at a speed of 5 miles per hour. Then, for the next 4 miles, Ben... |
A university professor is conducting a study on the impact of data breaches on the economy. The professor models the economic impact of a data breach using a function \( E(t) \), which represents the economic loss in million dollars at time \( t \) (in years) after the data breach occurs. The professor hypothesizes tha... | [
{
"content": "A university professor is conducting a study on the impact of data breaches on the economy. The professor models the economic impact of a data breach using a function \\( E(t) \\), which represents the economic loss in million dollars at time \\( t \\) (in years) after the data breach occurs. The ... | [
{
"content": "A university professor is conducting a study on the impact of data breaches on the economy. The professor models the economic impact of a data breach using a function \\( E(t) \\), which represents the economic loss in million dollars at time \\( t \\) (in years) after the data breach occurs. The ... |
Coach Johnson, a retired football coach, has started organizing neighborhood gatherings to watch Titans games together. He has noticed that the number of attendees at these gatherings follows a particular pattern. After analyzing the data, he observed that the attendance \( A_n \) for the \( n \)-th game of the season ... | [
{
"content": "Coach Johnson, a retired football coach, has started organizing neighborhood gatherings to watch Titans games together. He has noticed that the number of attendees at these gatherings follows a particular pattern. After analyzing the data, he observed that the attendance \\( A_n \\) for the \\( n ... | [
{
"content": "Coach Johnson, a retired football coach, has started organizing neighborhood gatherings to watch Titans games together. He has noticed that the number of attendees at these gatherings follows a particular pattern. After analyzing the data, he observed that the attendance \\( A_n \\) for the \\( n ... |
Develop a function in Python to remove sequential duplicates from a list.
The list is: ['Hello', 'World', 'World', 'This', 'Is', 'Is', 'Sample']
Include bolded sections in your response. | [
{
"content": "Develop a function in Python to remove sequential duplicates from a list.\nThe list is: ['Hello', 'World', 'World', 'This', 'Is', 'Is', 'Sample']\nInclude bolded sections in your response.",
"role": "user"
},
{
"content": "**Removing Sequential Duplicates from a List**\n===============... | [
{
"content": "Develop a function in Python to remove sequential duplicates from a list.\nThe list is: ['Hello', 'World', 'World', 'This', 'Is', 'Is', 'Sample']\nInclude bolded sections in your response.",
"role": "user"
},
{
"content": "**Removing Sequential Duplicates from a List**\n===============... |
Sherlock Holmes and Dr. Watson are investigating a mysterious sequence of numbers found in an old manuscript believed to be written by Professor Moriarty. The sequence is suspected to be a cipher that encodes the location of hidden treasure. The sequence is given by:
\[ a_n = n^3 + 3n^2 + 2n + 5 \]
1. Determine the g... | [
{
"content": "Sherlock Holmes and Dr. Watson are investigating a mysterious sequence of numbers found in an old manuscript believed to be written by Professor Moriarty. The sequence is suspected to be a cipher that encodes the location of hidden treasure. The sequence is given by:\n\n\\[ a_n = n^3 + 3n^2 + 2n +... | [
{
"content": "Sherlock Holmes and Dr. Watson are investigating a mysterious sequence of numbers found in an old manuscript believed to be written by Professor Moriarty. The sequence is suspected to be a cipher that encodes the location of hidden treasure. The sequence is given by:\n\n\\[ a_n = n^3 + 3n^2 + 2n +... |
Make a vividly detailed and comedic fictional story set in 1950s America about a gay guy relaxing with his twink crush. The gay watches his twink crush in the buff (describe his physique, hair, butt) entering a pond to wash off. describe how the gay reacts while the twink is washing his hair, armpits, and butt. while w... | [
{
"content": "Make a vividly detailed and comedic fictional story set in 1950s America about a gay guy relaxing with his twink crush. The gay watches his twink crush in the buff (describe his physique, hair, butt) entering a pond to wash off. describe how the gay reacts while the twink is washing his hair, armp... | [
{
"content": "Make a vividly detailed and comedic fictional story set in 1950s America about a gay guy relaxing with his twink crush. The gay watches his twink crush in the buff (describe his physique, hair, butt) entering a pond to wash off. describe how the gay reacts while the twink is washing his hair, armp... |
A DJ and vinyl collector, Alex, has a collection of 500 unique vinyl records. Each record belongs to exactly one of 10 distinct and eclectic music genres. Alex is organizing a series of listening sessions to introduce these genres to a tattoo artist friend, Jamie. To ensure variety, Alex wants each session to include r... | [
{
"content": "A DJ and vinyl collector, Alex, has a collection of 500 unique vinyl records. Each record belongs to exactly one of 10 distinct and eclectic music genres. Alex is organizing a series of listening sessions to introduce these genres to a tattoo artist friend, Jamie. To ensure variety, Alex wants eac... | [
{
"content": "A DJ and vinyl collector, Alex, has a collection of 500 unique vinyl records. Each record belongs to exactly one of 10 distinct and eclectic music genres. Alex is organizing a series of listening sessions to introduce these genres to a tattoo artist friend, Jamie. To ensure variety, Alex wants eac... |