id int64 0 10k | messages listlengths 3 3 | metadata dict |
|---|---|---|
1,892 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider a real-valued continuous function f defined on the interval [a, b] where a < b. The function satisfies the following two properties:\n\n1. f is midpoint-convex, i.e., for any x, y in [a, b], f((x + ... | {
"category": "math",
"conversation_tokens": 1889,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.2244306206703186
} |
8,561 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "What is the main difference between a classic Hero's Journey, as outlined by Joseph Campbell, and Dan Wells' Seven Point Story Structure?",
"role": "user"
},
{
"content": "The **Hero's Journey**... | {
"category": "creative-writing",
"conversation_tokens": 2030,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.22350016236305237
} |
5,186 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I wrote a story that I want to get edited. It's science fiction set in a dystopian world. Here is the first 300 words: \n\nThe year was 2157 and a cloud of despair hovered over the once great city of New Ede... | {
"category": "editing",
"conversation_tokens": 2584,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20465593039989471
} |
5,214 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A mathematician plays two games of chess against each of two opponents. If the mathematician has an independent 50% chance of winning each game, what is the probability that she will win at least one game ag... | {
"category": "math",
"conversation_tokens": 920,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.2144942283630371
} |
1,894 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "The following is a snippet of Python code:\n```\nimport json\n\ndef save_data(file_path, data):\n with open(file_path, 'w') as f:\n json.dump(data, f)\n\ndef load_data(file_path):\n with open(fi... | {
"category": "coding",
"conversation_tokens": 1402,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.23185645043849945
} |
8,577 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A key aspect of many stories is a hero on a journey who undergoes some changes as they navigate their path. Can you describe some ways that heroes in stories can undergo significant changes that make their j... | {
"category": "creative-writing",
"conversation_tokens": 2223,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20943276584148407
} |
6,930 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Explain a potentially confusing part of this writing sample. \"The Pod generation is potentially defined by two main things which drive most conversation and ideology amongst them, the internet, and also, me... | {
"category": "editing",
"conversation_tokens": 1162,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20582403242588043
} |
6,923 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "How does one decide what to name characters? What are the factors to consider and how does character name influence the story or the reader?",
"role": "user"
},
{
"content": "Naming characters is... | {
"category": "creative-writing",
"conversation_tokens": 1643,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20745985209941864
} |
8,570 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I have a text file containing data in the following format:\nID,Date,Time,Location,Value\n1,2022-01-01,10:00:00,New York,10.5\n2,2022-01-01,11:00:00,Los Angeles,20.8\n3,2022-01-01,12:00:00,Chicago,15.2\n4,20... | {
"category": "coding",
"conversation_tokens": 2664,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2281966209411621
} |
3,591 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I'm trying to optimize a python function to sum all the primes less than 10 million and I'm having trouble doing so. I have used the Sieve of Eratosthenes algorithm to generate primes less than 10 million. H... | {
"category": "coding",
"conversation_tokens": 2173,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.22913554310798645
} |
6,934 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "What's the best way to rephrase these sentences so they're more concise and impactful. \n1) \"I believe that when I can put the needs of others first that it makes me the happiest which has been really inter... | {
"category": "editing",
"conversation_tokens": 1061,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2046447992324829
} |
3,584 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Discuss the historical significance of the major impact of the Han Dynasty in the development of China.",
"role": "user"
},
{
"content": "The Han Dynasty (206 BCE–220 CE) is one of the most influ... | {
"category": "information-seeking",
"conversation_tokens": 1716,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.19798403978347778
} |
243 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I'm creating a story in a fantasy world, and I need help with its magical system. I want magic to be tied to memories and emotions. How could the magical abilities of a user be influenced by their memories a... | {
"category": "creative-writing",
"conversation_tokens": 1545,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.206734761595726
} |
6,931 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I am troubleshooting a Python program. I have isolated the problematic code block to the following:\n\n```python\nimport datetime\nimport time\n\nstart_time = time.time()\nstart_datetime = datetime.datetime... | {
"category": "coding",
"conversation_tokens": 1518,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.23299942910671234
} |
256 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Please write a C# code snippet that demonstrates a basic implementation of the Factory Pattern: This example should include a simple Animal hierarchy\n- Define an abstract class called Animal\n- Define 2 con... | {
"category": "coding",
"conversation_tokens": 2359,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.229967400431633
} |
252 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I'm crafting a fictional town with a mysterious past. I'm considering the geography and layout of the town and I'm hoping you can help me with that. Can you describe a compelling layout for this town that al... | {
"category": "creative-writing",
"conversation_tokens": 2074,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21078833937644958
} |
1,896 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider the infinite sequence defined by a_n = 1/n^2 + 1/n^4. Calculate the sum of the infinite series S = Σa_n from n = 1 to infinity.",
"role": "user"
},
{
"content": "Alright, let's tackle th... | {
"category": "math",
"conversation_tokens": 1105,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.2217523455619812
} |
8,574 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "An aging restaurant business has lost 20% of its customers over the last year and they plan to recover the customer base by revamping their menu, optimizing the dining area, and marketing their business usin... | {
"category": "planning",
"conversation_tokens": 1784,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2077856808900833
} |
6,933 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "This is a sentence extracted from a novel draft. \"As she drunk the whiskey, she thought about her life in New York and all that she had left behind.\" What would you suggest to improve this sentence? \n\nCo... | {
"category": "editing",
"conversation_tokens": 779,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2037682831287384
} |
3,582 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A friend is launching a new fitness app and has asked for help with planning the marketing strategy. What steps can be taken to create an effective marketing plan for the app? \n\nYour strategy should focus ... | {
"category": "planning",
"conversation_tokens": 1672,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21218794584274292
} |
1,901 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "To ensure that you edit and improve the users written work appropriately I have a piece of text I want you to edit by making the following changes: \n\n1. Make the text more concise \n2. Improve the sentenc... | {
"category": "editing",
"conversation_tokens": 1329,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20158258080482483
} |
6,928 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider two functions, f(x) = 2x and g(x) = x^2. What can you tell me about the composite functions f(g(x)) and g(f(x))? Provide a brief discussion about their properties and any notable observations. \n\nA... | {
"category": "math",
"conversation_tokens": 1726,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.2118827998638153
} |
1,895 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I am attempting to write a Python script to track the price history of a set of stocks over time. What would be an efficient approach to getting the historical prices? \n\nHere is my script thus far:\n\n```p... | {
"category": "coding",
"conversation_tokens": 1828,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.22495847940444946
} |
1,891 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Suppose we're given two lines in the real 2D plane. Write an equation for the line passing through their intersection, which is also perpendicular to both lines. I am looking for the equation of this line i... | {
"category": "math",
"conversation_tokens": 1667,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.21879249811172485
} |
6,924 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I am writing an article that starts with this sentence.\n\nThe reason I wanted to write this piece is because I have been noticing more than ever lately that there is a shortage of patience in todays fast pa... | {
"category": "editing",
"conversation_tokens": 969,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2058585286140442
} |
3,594 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "What is the totient function and how would I use it to find the number of positive integers less than or equal to n that are relatively prime to n?",
"role": "user"
},
{
"content": "The **totient... | {
"category": "math",
"conversation_tokens": 923,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.22563153505325317
} |
3,598 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "What is the difference between a mode and median. Provide a brief narrative that includes a real life example to help reinforce the concept.",
"role": "user"
},
{
"content": "Understanding the di... | {
"category": "data-analysis",
"conversation_tokens": 1479,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20831285417079926
} |
3,597 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Let's explore a simple algebra problem. We will start with an example and explore various generalizations. Consider a quadratic polynomial p(x) = x^2 + 1. Can you find a polynomial q(x) such that p(q(x)) is ... | {
"category": "math",
"conversation_tokens": 1397,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.21862569451332092
} |
5,238 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Imagine that you have been tasked with creating a new animated show for a younger audience. What would be the premise of the show, and how would it appeal to that age group?\n\n(Note, you are also the writer... | {
"category": "creative-writing",
"conversation_tokens": 1793,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.23329222202301025
} |
5,231 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Suppose we have data about highway fuel efficiency of 100 vehicles. This data includes the following variables: Vehicle type, Fuel type, City mpg, Highway mpg, and Weight of the vehicle. Vehicle type is eith... | {
"category": "data-analysis",
"conversation_tokens": 1588,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2085653841495514
} |
3,575 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Let f(x) be a function with the following properties:\n\n1. f(0) = 0\n2. f(1) = 1\n3. f(x) is continuous for all x\n4. f(x) satisfies the functional equation f(x + y) = f(x) + f(y) + xy for all x and y.\n\nW... | {
"category": "math",
"conversation_tokens": 2273,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.22840753197669983
} |
1,897 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Here is the first question. How do Riemann surfaces provide a geometric interpretation for studying multivalued functions in complex analysis?",
"role": "user"
},
{
"content": "Riemann surfaces ... | {
"category": "math",
"conversation_tokens": 1805,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21154239773750305
} |
260 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "You're tasked to train a new employee who has been hired to manage a large social media presence for a retail company. Create a work plan for the first month on the job for the new employee and describe this... | {
"category": "planning",
"conversation_tokens": 1362,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20975898206233978
} |
248 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I want to plan a trip to Japan. I've never been there before, and I have two weeks to spend. I'm interested in exploring Tokyo, but I also want to see other parts of the country. What's a good plan for me? \... | {
"category": "planning",
"conversation_tokens": 1664,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21247351169586182
} |
1,791 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A snail is at the bottom of a 20-foot well. Each day, it climbs up 3 feet, but at night, it slips back 2 feet. How many days will it take for the snail to reach the top of the well.",
"role": "user"
},... | {
"category": "reasoning",
"conversation_tokens": 1302,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.23035961389541626
} |
5,234 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider the function f(x) = (x^2 - 1) / (x^2 + 1). What are the properties of this function, particularly its asymptotes and intercepts, and how can we understand its behavior as x approaches positive and n... | {
"category": "math",
"conversation_tokens": 1894,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.2133801281452179
} |
6,932 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I'm writing a novel about a mystical world with unique magical abilities. Each person can wield one specific magical power, and there are no limitations on the type of power or its strength. I've already dev... | {
"category": "creative-writing",
"conversation_tokens": 2659,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21185317635536194
} |
257 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "What is the Variance Inflation Factor? How is it applied and what are the resulting values?",
"role": "user"
},
{
"content": "The **Variance Inflation Factor (VIF)** is a statistical measure used... | {
"category": "data-analysis",
"conversation_tokens": 1436,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20433565974235535
} |
8,569 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Write a response to the following essay.\n\nThe idea of a single-payer healthcare system has gained popularity in recent years due many people in the United States have difficulties with paying healthcare. M... | {
"category": "editing",
"conversation_tokens": 1907,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20190618932247162
} |
3,600 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "The result of the new policy is likely to be that many students will be deterred from apply to the college, and that the college therefore will lose its reputation for diversity and inclusivity.",
"role"... | {
"category": "editing",
"conversation_tokens": 2031,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20155775547027588
} |
8,572 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Design an innovative amusement park based on the combination of cutting-edge digital technologies and immersive storytelling.",
"role": "user"
},
{
"content": "# **NeoRealm: The Future of Immersi... | {
"category": "brainstorming",
"conversation_tokens": 1919,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.2099471092224121
} |
253 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A consumer products company wants to analyze the effectiveness of its social media advertising efforts. They have collected data from their recent campaign on Facebook and Instagram. The data set includes me... | {
"category": "data-analysis",
"conversation_tokens": 1790,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20502887666225433
} |
5,239 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "You are a leading HR manager for a large corporation, specializing in employee relations, talent development, and organizational design. You are in a meeting with a top executive about a new program to impro... | {
"category": "role-playing",
"conversation_tokens": 1588,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2189071774482727
} |
3,576 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider the infinite series 1 + 2x + 3x^2 + 4x^3 + ..., where |x| < 1. What is the sum of this series, expressed in terms of x?",
"role": "user"
},
{
"content": "Alright, let's tackle this infin... | {
"category": "math",
"conversation_tokens": 988,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2126293182373047
} |
259 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider the following information. Respond after considering all of the info provided.\n\nA farmer has a field, which is a square with 1000 feet on each side. He has a fence around the entire field. John... | {
"category": "reasoning",
"conversation_tokens": 1409,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21174781024456024
} |
8,557 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider a real valued continuous function f defined on the closed interval [a,b] that is also continuously differentiable on the open interval (a,b). There exists a point c in (a,b) such that the derivativ... | {
"category": "math",
"conversation_tokens": 1838,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.22148649394512177
} |
1,889 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A snail is at the bottom of a 20-foot well. Each day, it climbs up 3 feet, but at night, it slips back 2 feet. How many days will it take for the snail to reach the top of the well?",
"role": "user"
},... | {
"category": "reasoning",
"conversation_tokens": 991,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21827416121959686
} |
6,935 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I want to learn how to sail and obtain a certification. I am starting from zero but once I gain the certification, I am thinking of buying a sailboat. I live in the US and have access to both a lake and the ... | {
"category": "planning",
"conversation_tokens": 1833,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20818662643432617
} |
1,856 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "What is the sum of 1/(k-1) - 2/k + 1/(k+1) from k=2 to infinity?",
"role": "user"
},
{
"content": "### Understanding the Problem\n\nFirst, I need to understand the expression I'm dealing with:\n\... | {
"category": "math",
"conversation_tokens": 975,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.2205526977777481
} |
1,852 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A particular sequence of positive integers a(n) starts with a(1)=1 and each subsequent term after the first is determined by checking the parity of the sum of its digits and the parity of the sum of the digi... | {
"category": "math",
"conversation_tokens": 1506,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.2124047428369522
} |
201 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider the following group homomorphism from the group of integers under addition, (Z, +), to the multiplicative group of integers modulo 5, (Z/5Z, *), which we denote by φ.\n\nφ: Z → Z/5Z\n\nφ(n) = 2^n mo... | {
"category": "math",
"conversation_tokens": 1751,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.22282078862190247
} |
5,220 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I am going on a job interview for a position with a major retailer. They would like me to write and bring an essay on my thoughts on customer service. I am concerned about grammar, clarity, and most of all m... | {
"category": "editing",
"conversation_tokens": 1504,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21270832419395447
} |
5,240 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Let f be a twice continuously differentiable function on the real numbers. If f''(x) > 0 for all x in the interval (0, infinity) and f(0) = 0, then please show that f(x)/x is strictly increasing on (0, infi... | {
"category": "math",
"conversation_tokens": 1268,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.21847067773342133
} |
3,518 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Find the sum of all positive integer divisors of 60.",
"role": "user"
},
{
"content": "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's asking for the... | {
"category": "math",
"conversation_tokens": 773,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21587571501731873
} |
1,844 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A rental company has 6 apartments available, and a total of 10 people, some of whom are couples. Each apartment can hold a maximum of 2 people, and each person must be in an apartment. If 3 of the people are... | {
"category": "reasoning",
"conversation_tokens": 1212,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.22966378927230835
} |
5,237 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I've written the first draft of an article about work-life balance. Here is the introduction:\n\n\"With the work environment becoming more and more demanding, employees are facing significant amounts of stre... | {
"category": "editing",
"conversation_tokens": 1685,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20126602053642273
} |
6,917 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A certain organization has five members - Alan, Bob, Charlie, Danny, and Emily. Each member is either honest or dishonest, and each member is aware of the nature of the other four members. The following sta... | {
"category": "reasoning",
"conversation_tokens": 974,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.22750523686408997
} |
254 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider the matrix A with real entries given by \n\nA = [[2, -1], [1, 3]].\n\nFind the eigenvalues of this matrix. First, discuss the significance of eigenvalues in the study of matrices, and address the ge... | {
"category": "math",
"conversation_tokens": 3334,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.21858499944210052
} |
5,235 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider a continuous probability distribution with a probability density function (pdf) of the form f(x) = k * x^(-1/2) for 0 < x < 1, where k is a constant that ensures f(x) is a valid pdf. Find the value ... | {
"category": "math",
"conversation_tokens": 2225,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.22233037650585175
} |
6,910 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "If a snail is at the bottom of a 20-foot well, and each day it climbs up 3 feet, but at night, it slips back 2 feet, how many days will it take for the snail to reach the top of the well?",
"role": "user... | {
"category": "reasoning",
"conversation_tokens": 1012,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21171846985816956
} |
1,902 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A survey is conducted to gather information about the amount of time spent by employees on social media during working hours using a sample of 50 employees. The data collected reveals a mean time of 45 minut... | {
"category": "data-analysis",
"conversation_tokens": 1222,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21009698510169983
} |
3,599 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Write a beginning for the following story idea about two people destined for greatness whom have no idea how truly special they are: \n\nTitle: \"Unseen Destiny\" \n\nStory Idea : In the same hospital Lady... | {
"category": "creative-writing",
"conversation_tokens": 2397,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21164973080158234
} |
8,567 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "You are working with a user to create a plan for their project. They want to launch an e-commerce store on Shopify that initially focuses on pet owners. They have identified the store will need 10 core produ... | {
"category": "planning",
"conversation_tokens": 1818,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20712465047836304
} |
6,938 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "How can we creatively design an interactive light installation around the subject of ocean pollution so that people can immerse in it, learn about ocean pollution and eventually take action.",
"role": "u... | {
"category": "brainstorming",
"conversation_tokens": 1828,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21655479073524475
} |
3,593 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Since you are a math expert and I am strongly motivated to see how quickly I can get to the bad areas of mathematics I am going to provide a bit of info and ask my first question. The info I will provide is... | {
"category": "math",
"conversation_tokens": 2372,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.23162581026554108
} |
8,576 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I am writing a short story with a 5,000-word limit and need help making the most of my word count and editing in general. The story is about a young girl who runs away from home after a violent argument with... | {
"category": "editing",
"conversation_tokens": 2745,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20643454790115356
} |
247 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A snail is at the bottom of a 20-foot well. Each day, it climbs up 3 feet, but at night, it slips back 2 feet. How many days will it take for the snail to reach the top of the well?",
"role": "user"
},... | {
"category": "reasoning",
"conversation_tokens": 835,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2186814248561859
} |
6,941 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "To understand project management performance metrics and data trends, consider the following project tracking table that displays key performance indicators (KPIs). \n\nProject Title | Start Date | End Dat... | {
"category": "data-analysis",
"conversation_tokens": 2651,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20748354494571686
} |
8,585 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A company is analyzing the purchase history of its most loyal customers to better understand their shopping behavior. It has randomly sampled the purchase history of 50 of these customers, tracking the total... | {
"category": "data-analysis",
"conversation_tokens": 1105,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20530225336551666
} |
1,908 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Write an intro for me to an essay on the topic of how a popular or well-known person can use their platform for the greater good. Please limit it to 100 words.\n\nHere is a possible intro I already came up w... | {
"category": "editing",
"conversation_tokens": 1210,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20495113730430603
} |
1,904 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A research team is collecting data on a new blood pressure medication and wants to analyze whether the medication is effective in lowering the blood pressure of patients. The team collects blood pressure dat... | {
"category": "data-analysis",
"conversation_tokens": 2055,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.20957051217556
} |
8,580 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "What is the geometric interpretation of a non-invertible matrix in linear algebra?",
"role": "user"
},
{
"content": "In linear algebra, the geometric interpretation of a **non-invertible** (or **... | {
"category": "math",
"conversation_tokens": 1541,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21161970496177673
} |
5,232 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Tell me about the process of crafting a compelling main character in your story.",
"role": "user"
},
{
"content": "Crafting a compelling main character is one of the most important aspects of sto... | {
"category": "creative-writing",
"conversation_tokens": 1628,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.214793398976326
} |
250 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Plan a trip to Disney in Florida, with 3 kids under the age of 10. We want to visit all 4 parks and 2 water parks in 7 days. We also want to have some relaxation time. \n\nWe are planning to stay at an on-si... | {
"category": "planning",
"conversation_tokens": 1762,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.21261462569236755
} |
1,909 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I have a table called Users with 15 columns. One column is called \"user_type\". That column contains either \"Customer\" or \"Employee\" as values. I want to find how many customers I have and how many empl... | {
"category": "coding",
"conversation_tokens": 1679,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2227771282196045
} |
1,907 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "By what common fraction does 0.181818... exceed 0.161616... ?",
"role": "user"
},
{
"content": "To determine by what common fraction \\( 0.\\overline{18} \\) exceeds \\( 0.\\overline{16} \\), we'... | {
"category": "math",
"conversation_tokens": 626,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2203785479068756
} |
6,943 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "This text is about how computers affect children's health and well-being. Please edit it and make it more concise.\n\nComputers have became an integral component of the modern child's life. Whether this be w... | {
"category": "editing",
"conversation_tokens": 2280,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20100489258766174
} |
5,247 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider the set of points in the plane defined by S = {(x, y) | x^2 + y^2 = r^2}, where r is a fixed, positive real number. Provide a concise argument showing S is a closed set, both from the perspective of... | {
"category": "math",
"conversation_tokens": 3325,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.227875217795372
} |
1,893 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "If z is a complex number such that Re(z) = -1/2 and Im(z) = -sqrt(3)/2 and w = 1/z, what is w?",
"role": "user"
},
{
"content": "To find the complex number \\( w = \\frac{1}{z} \\) given \\( z \\... | {
"category": "math",
"conversation_tokens": 1318,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2124943733215332
} |
221 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider a continuous function f:[0,1]→ℝ such that f(0)=f(1)=0. Define g(x)=∫[0,x] f(t)dt. Prove that there exists c∈[0,1] such that f(c)=g(c).",
"role": "user"
},
{
"content": "Alright, let's ta... | {
"category": "math",
"conversation_tokens": 1406,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.21439364552497864
} |
1,912 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Write a C++ function that takes a pointer to a binary tree node and returns true if the binary tree is a binary search tree (BST), and false otherwise. A binary search tree is a binary tree where for each no... | {
"category": "coding",
"conversation_tokens": 1350,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.22295354306697845
} |
6,937 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Form a startup around a platform for rating, reviewing, and discovering podcasts. What features would make such a platform interesting and useful for users?",
"role": "user"
},
{
"content": "Crea... | {
"category": "brainstorming",
"conversation_tokens": 1372,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21204215288162231
} |
8,558 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "A snail is at the bottom of a 20-foot well. Each day, it climbs up 3 feet, but at night, it slips back 2 feet. How many days will it take for the snail to reach the top of the well?",
"role": "user"
},... | {
"category": "reasoning",
"conversation_tokens": 676,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21563060581684113
} |
1,898 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider a sequence of real numbers a(n) defined recursively as a(n) = a(n - 1) * a(n - 2) + 1, where a(1) = a(2) = 1. I want to explore properties of this sequence. First, can you show that this sequence is... | {
"category": "math",
"conversation_tokens": 1451,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.22826126217842102
} |
5,241 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Consider the set M = {1, 2, 3, 4} and the binary operation * on M defined by a * b = |a - b| for all a, b in M. Determine if (M, *) is a monoid. If so, identify the identity element and whether each element ... | {
"category": "math",
"conversation_tokens": 1394,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.22348876297473907
} |
3,596 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "What logical fallacies and biases may occur when reviewing a new scientific study, and how might you recognize them?",
"role": "user"
},
{
"content": "When reviewing a new scientific study, sever... | {
"category": "reasoning",
"conversation_tokens": 2679,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.22374847531318665
} |
8,581 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Let's begin by exploring some elements of probability theory. Specifically, I'd like to delve into conditional probability and Bayes' theorem. To start with, can you explain the basic concepts and relationsh... | {
"category": "math",
"conversation_tokens": 1942,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.22259119153022766
} |
8,562 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Let a, b, c, and d be real numbers satisfying the following system of equations:\n\na^2 + b^2 = 1, \nc^2 + d^2 = 1, \nac + bd = 0.\n\nShow that a = -d and b = c.",
"role": "user"
},
{
"content": ... | {
"category": "math",
"conversation_tokens": 1725,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21360403299331665
} |
8,582 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I am planning a trip to Europe for two weeks. What are the key steps I can take to plan and organize this trip effectively? \n\nTo start, I have already decided to visit Italy and France. I have two weeks fo... | {
"category": "planning",
"conversation_tokens": 1927,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2067531943321228
} |
5,242 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Tell me a story idea about a detective who solves a 20 year old murder mystery while traveling.",
"role": "user"
},
{
"content": "Here’s a compelling story idea for your traveling detective:\n\n*... | {
"category": "creative-writing",
"conversation_tokens": 2153,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20489981770515442
} |
3,603 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "You are approached by a food company to help create a new dessert that will appeal to health-conscious consumers who still want to indulge in decadent treats. They would like the dessert to be rich, creamy, ... | {
"category": "brainstorming",
"conversation_tokens": 1823,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21359629929065704
} |
1,911 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "You are presented with this code that is not working properly.\n\n```python\ndef factorial(n):\n if n == 0 or n == 1:\n return 1\n else:\n return n * factorial(n)\n```\n\nHow would you id... | {
"category": "coding",
"conversation_tokens": 1196,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.22377367317676544
} |
1,906 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Develop a plan for an author who wants to launch their first book and they have 90 days until the release date. They currently have a first draft manuscript.",
"role": "user"
},
{
"content": "###... | {
"category": "planning",
"conversation_tokens": 1958,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21084704995155334
} |
6,942 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Show that the infinite series S = 1 + 2 * (1/3) + 3 * (1/3)^2 + 4 * (1/3)^3 + ... converges. Find its sum.\n\nWe know that for the infinite geometric series 1 + x + x^2 + x^3 + ..., the sum is 1/(1-x), if |x... | {
"category": "math",
"conversation_tokens": 1232,
"difficulty": "hard",
"quality": "good",
"reward_model_score": 0.21773530542850494
} |
5,246 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "What is the typical process to analyze a data set and what type of information do you expect to receive from the customer to begin this analysis?",
"role": "user"
},
{
"content": "The process of ... | {
"category": "data-analysis",
"conversation_tokens": 1336,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.211848184466362
} |
8,583 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "An insurance salesman for a certain company has a specific goal to sell policies to 7 more people for the month of July. He also has another goal that is for the people that are 65 and older he wants to sell... | {
"category": "reasoning",
"conversation_tokens": 995,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21745136380195618
} |
6,939 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I'm writing a speech to promote mental health awareness and need help refining it. I want to make it clear, concise, and impactful. The speech is as follows:\n\n\"Mental health awareness is something that af... | {
"category": "editing",
"conversation_tokens": 2059,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.20716211199760437
} |
6,950 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "Write a concise answer to the following: What steps should a decision-maker use to determine the best course of action in a complex situation? \n\nIn a complex situation, a decision-maker should start by def... | {
"category": "reasoning",
"conversation_tokens": 968,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.2341451644897461
} |
245 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "In a family of 5 children, what is the probability that at least 3 of them are girls?",
"role": "user"
},
{
"content": "Alright, let's tackle this probability problem step by step. Here's the que... | {
"category": "math",
"conversation_tokens": 1046,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.21331024169921875
} |
267 | [
{
"content": "You are a helpful and honest AI assistant.",
"role": "system"
},
{
"content": "I am thinking of moving to a new city for a job that pays slightly better than my current position. However, the new city has a much higher cost of living. I am worried that the slight increase in salary may... | {
"category": "advice-seeking",
"conversation_tokens": 1531,
"difficulty": "medium",
"quality": "good",
"reward_model_score": 0.1963205337524414
} |
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