source string | num_tokens int64 | average_similarity_to_mean float64 | episode_1 list | episode_2 list | episode_3 list | episode_4 list | episode_5 list | episode_6 list | episode_7 list | episode_8 list | episode_9 list | episode_10 list | episode_11 list | episode_12 list | episode_13 list | episode_14 list | episode_15 list | episode_16 list | episode_17 list | episode_18 list | episode_19 list | episode_20 list | episode_21 list | episode_22 list | episode_23 list | episode_24 list | episode_25 list | episode_26 list | episode_27 list | episode_28 list | episode_29 list | episode_30 list | episode_31 list | episode_32 list | episode_33 list | episode_34 list | episode_35 list | episode_36 list | episode_37 list | episode_38 list | episode_39 list | episode_40 list | episode_41 list | episode_42 list | episode_43 list | episode_44 list | episode_45 list | episode_46 list | episode_47 list | episode_48 list | episode_49 list | episode_50 list | episode_51 list | episode_52 list | episode_53 list | episode_54 list | episode_55 list | episode_56 list | episode_57 list | episode_58 list | episode_59 list | episode_60 list | episode_61 list | episode_62 list | episode_63 list | episode_64 list |
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Open-Orca/OpenOrca/train/0005 | 19,218 | 0.142075 | [
{
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer.",
"role": "system"
},
{
"content": "Please answer the following question: Formulate an answer to this elaborate question: The star of \"From Paris with Love\" was in an adv... | [
{
"content": "You are a helpful assistant, who always provide explanation. Think like you are answering to a five year old.",
"role": "system"
},
{
"content": "Il a noté les préoccupations de plusieurs acteurs, en particulier l'OIT, qui ont relevé que le Burkina Faso était un pays d'origine, de dest... | [
{
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer.",
"role": "system"
},
{
"content": "Question: Here's a complex question that requires someone to reason about the input, can you answer it? What star of \"The Fighter\" was... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "The final plate of William Hogarth's 'A Rake's Progress' series d... | [
{
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer.",
"role": "system"
},
{
"content": "Please answer the following question: Read the following paragraph and extract the answer for the question: What number was the artist t... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Generate a correctly punctuated version of the following text: The Commission publishes the results of Europe 1992 The overall challenge a study carried... | [
{
"content": "You are an AI assistant that follows instruction extremely well. Help as much as you can.",
"role": "system"
},
{
"content": "Please answer the following question: What number was the artist that released The Downward Spiral listed as on The 100 Greatest Artists of All Time list by Rol... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Alstom Transport recorded sales of €5.9 billion in the fiscal year 2013/14. Say this using Spanish.",
"role": "user"
},
{
"content": "Alstom ... | [
{
"content": "You are a helpful assistant, who always provide explanation. Think like you are answering to a five year old.",
"role": "system"
},
{
"content": "Dart, mushroom, grain, notions, and piping are terms used in what handicraft?\nWhat is the answer?",
"role": "user"
},
{
"conten... | [
{
"content": "You are a helpful assistant, who always provide explanation. Think like you are answering to a five year old.",
"role": "system"
},
{
"content": "Here is some data: 35 TEAM Portland; 35 SCORE W 118-89 (OT).\n\nWrite a sentence that describes this data",
"role": "user"
},
{
... | [
{
"content": "Detailed Instructions: In this task, find the most appropriate number to replace the blank (indicated with _ ) and express it in words.\nProblem:Nymphs require five to _ weeks to mature into adults.\nSolution:",
"role": "user"
},
{
"content": "Nymphs require five to six weeks to mature... | [
{
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer.",
"role": "system"
},
{
"content": "I am trying to decide whether it's worth it to invest in this film proposal. Can you help me answer a few questions? If you can't, pleas... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Are the following two questions the same?\nWhere can I find sl ar... | [
{
"content": "Given a definition of a task and a sample input, break the definition into small parts.\nEach of those parts will have some instruction. Explain their meaning by showing an example that meets the criteria in the instruction. Use the following format:\nPart # : a key part of the definition.\nUsage... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Middle Ages\nThe development of a three-field rotation system for planting crops[AA] increased the usage of land from one half in use each year under the... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Question 1: Why are platonic solids used?\nQuestion 2: What are P... | [
{
"content": "You are a helpful assistant, who always provide explanation. Think like you are answering to a five year old.",
"role": "system"
},
{
"content": "Continue the following story.\n\nThe kitchen in my moms house is a lot better than my garage, because the",
"role": "user"
},
{
... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "This is some data: AWH Engineering College, country, India; AWH E... | [
{
"content": "Please answer the following question: Formulate an answer to this elaborate question: Which star of Nishabd appeared in three Hindi films from 2007 to 2010?\nA:",
"role": "user"
},
{
"content": "The star of Nishabd who appeared in three Hindi films from 2007 to 2010 is Jiah Khan.",
... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Instructions: You are given a sentence in Spanish. Your job is to... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Here is a dialogue:\nPeter: How should we fly to Moscow?\nLiam: w... | [
{
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer.",
"role": "system"
},
{
"content": "\"Slimane Raho\", given a list of categories: company, educational institution, artist, athlete, office holder, mean of transportation, ... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Combine facts and answer this: Who manages the Douglas State Fore... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Translate the following sentence to Romanian:\nLet me give an example.\n\nRomanian:",
"role": "user"
},
{
"content": "Să-mi permită să dau un... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "peter l. jensen died in illionios in 1961, prior to this he had received recognition from both denmark and the u.s. from denmark, he was bestowed with kn... | [
{
"content": "Please answer the following question: Who sighed at the thought of the unhappiness that this failure must cause Saint-Saëns? Answer the above question based on the context below: In 1861 Saint-Saëns accepted his only post as a teacher, at the École de Musique Classique et Religieuse, Paris, whic... | [
{
"content": "Q: Translate from Hindi to English such that it preserves the original meaning Perform complete translation (partially translated sentences are considered incorrect).\nवह अपनी कहानियां सुनाता है और स्वाभाविक रूप से तुम्हें खुश करना चाहता है.\nA:",
"role": "user"
},
{
"content": "He na... | [
{
"content": "You are a helpful assistant, who always provide explanation. Think like you are answering to a five year old.",
"role": "system"
},
{
"content": "Thisenhancedsurveillancewillbuildon,andgobeyond,MemberStates'requirementsunderanEDP.\nWhat's a sentence that uses these characters?",
"r... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "How is \"Extract only those events created by the server having t... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Do these sentences have the same meaning?\nNearly 6,000 MTA drive... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Write an article based on this summary:\n\nPart of a Cardiff thor... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "I know that the answer to the question \"What is MPEG-2 Part 3?\" is in \"Further work on MPEG audio was finalized in 1994 as part of the second suite of... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Q: In this task, given a sentence in the English language, your t... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Q: What type of invisible waves are used in microwaves? A:\nAns... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Translate the following sentence to Czech:\nHere goes...",
"role": "user"
},
{
"content": "Zde to jde...",
"role": "assistant"
}
] | [
{
"content": "You are an AI assistant that follows instruction extremely well. Help as much as you can.",
"role": "system"
},
{
"content": "Combine facts and answer this: Which battle took place first Operation Dragoon or Battle of Guam ?\nAnswer:",
"role": "user"
},
{
"content": "The Ba... | [
{
"content": "Answer the following question: Here's a complex question that requires someone to reason about the input, can you answer it? What is the American adventure film of a shipwrecked family building an island home, Swiss Family Robinson or Tonka?\nAnswer:",
"role": "user"
},
{
"content": "T... | [
{
"content": "You are a helpful assistant, who always provide explanation. Think like you are answering to a five year old.",
"role": "system"
},
{
"content": "Translate to Czech:\n\n(c) recover sums lost as a result of irregularities or negligence.",
"role": "user"
},
{
"content": "Získ... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "How is \"The job will get done,\" Leakey told reporters.\" said in Turkish?",
"role": "user"
},
{
"content": "\"The job will get done,\" Leak... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Combine facts and answer this: The Panasonic Lumix DMC-FX77 takes its highest resolution pictures through a lens manufactured by a company founded by wha... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Question: Question: \"Vibrations can be heard as?\" Context: \"A sound generated on any instrument produces many modes of vibration that occur simultane... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Here's a complex question that requires someone to reason about the input, can you answer it? The Killers, starring Ashton Kutcher, uses the song \"Beaut... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Teacher:You are given a sentence in Polish. Your job is to transl... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "What is the answer to this question? what was the number 1 song in january 2006?",
"role": "user"
},
{
"content": "The number 1 song in Janua... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Given this review: \"a google user it is the bestest emulator but the game crash of the titans not working on my device i have a samsung galaxy tab 4 sm-... | [
{
"content": "You are a helpful assistant, who always provide explanation. Think like you are answering to a five year old.",
"role": "system"
},
{
"content": "Add punctuation: She gave an invited address to the International Congress of Mathematicians in Zrich in 1994",
"role": "user"
},
{
... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Translate the following sentence to German:\nThe only way to make... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Cred că vom avea cu toții, la următoarea discuție multianuală referitoare la cadrul financiar, o bună ocazie de a îmbunătăți execuția și punerea în aplic... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Summarize this article:\n\nA paleo diet is based on eating foods like meat, fish, fruits, vegetables, and nuts while avoiding foods that contain grains, ... | [
{
"content": "You are an AI assistant that follows instruction extremely well. Help as much as you can.",
"role": "system"
},
{
"content": "Q: This task is about translating a given Yoruba language sentence to English.\nAbájọ tí o ṣe di ọlọ́rọ̀ ìyànjú?\nA:",
"role": "user"
},
{
"content"... | [
{
"content": "Given the question: Here's a question: If you're hearing sounds what product the uses a laser are you using? Here are possible answers to this question: - physics lab - laboratory - bomb - hospital - cd players I believe the correct choice is \"cd players\", here's why:\nThe answer is:",
"ro... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "I am a movie director and I just received the following movie plot. Could you help me answer this question? If not, let me know by writing \"Not answerab... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Question: You are given a new situation: Tim and Dan both studied reproduction in college. Dan studied plant reproduction while Tim studied fish reproduc... | [
{
"content": "You are a helpful assistant, who always provide explanation. Think like you are answering to a five year old.",
"role": "system"
},
{
"content": "What was the real first name of Mother Teresa????",
"role": "user"
},
{
"content": "Mother Teresa's real first name was Agnes. W... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Quinn got a vanilla birthday cake from their friends and family on their birthday. Given the context: What will Quinn want to do next?\n\n[a]. eat the c... | [
{
"content": "Q: In this task, you're given an article and an answer. Your task is to generate the fill-in-the-blank question for this answer based on the given article. The blanks are always at the end of the question, and can be filled with more than one word or phrase.\nArticle: The University of Wales, Bang... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "57.1 % of these were male and 42.9 % female .\nOut of these , 57.... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "Please answer the following question: Given the following context: Smetana's biographers describe him as physically frail and unimpressive in appearance... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Continue writing the next sentence in this paragraph:\n\nHow to e... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Nits, Blondels, Skots, Lamberts, and Footlamberts are measures of... | [
{
"content": "You are an AI assistant that follows instruction extremely well. Help as much as you can.",
"role": "system"
},
{
"content": "Answer the following question: - Release them into the air by process of sporulation - Spores are carried by the wind - Land in a hospitable growing environmen... | [
{
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.",
"role": "system"
},
{
"content": "Translate to German:\n\nPGP 6i can read and understand messages, ... | [
{
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer.",
"role": "system"
},
{
"content": "Given the question: Generate a question about the following movie plot: Egyptologist and linguist Daniel Jackson, Ph.D. (James Spader) i... | [
{
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer.",
"role": "system"
},
{
"content": "What is the answer: In what country would you find Mt. Pinatubo, whose 1991 eruption was the largest in the last hundred years?",
"role": "user"
},... |
facebook/natural_reasoning/train/0000 | 47,803 | 0.279766 | [{"content":"A spaceship is traveling at 90% of the speed of light relative to an observer on Earth.(...TRUNCATED) | [{"content":"Consider two systems, each consisting of two bodies of mass moving towards each other. (...TRUNCATED) | [{"content":"A particle with a rest mass of 1 kg is moving at a speed of 0.9c relative to an observe(...TRUNCATED) | [{"content":"An interstellar spacecraft is propelled to a speed of 0.5c using an antimatter-powered (...TRUNCATED) | [{"content":"Given the concept of time dilation in special relativity, explain how an observer on Ea(...TRUNCATED) | [{"content":"A traveler is moving at 90% of the speed of light relative to a stationary observer. Th(...TRUNCATED) | [{"content":"A spaceship is traveling in a circular path with a constant proper acceleration of 1g. (...TRUNCATED) | [{"content":"A proton is accelerated to 99.9% of the speed of light in a particle accelerator. Using(...TRUNCATED) | [{"content":"A spaceship is traveling at 90% of the speed of light relative to an observer on Earth.(...TRUNCATED) | [{"content":"A spaceship is traveling at 90% of the speed of light through interstellar space, where(...TRUNCATED) | [{"content":"A 1kg object is moving at 0.9c in a straight line in space. From the reference frame of(...TRUNCATED) | [{"content":"Suppose an astronaut travels at 99% of the speed of light for 2 years, as measured from(...TRUNCATED) | [{"content":"A photon travels from the sun to the earth, covering a distance of approximately 150 mi(...TRUNCATED) | [{"content":"A muon is traveling at a speed of 0.9994c relative to an observer on Earth. If the muon(...TRUNCATED) | [{"content":"Two spaceships, each with a rest length of 100 meters, are traveling in opposite direct(...TRUNCATED) | [{"content":"A rocket ship travels at 95% of the speed of light relative to an observer on Earth. Ac(...TRUNCATED) | [{"content":"A star with a rest mass of 10 kg is moving at a speed of 1/3c. How does its mass change(...TRUNCATED) | [{"content":"A positron and an electron, each with a mass of 9e-31 kg, annihilate and produce two ph(...TRUNCATED) | [{"content":"If an object is traveling at 0.99999c, how much time will pass on Earth while the objec(...TRUNCATED) | [{"content":"A cube has a density of 2000 kg/m^3 while at rest in the laboratory. What is the cube's(...TRUNCATED) | [{"content":"An interstellar spacecraft is traveling at 90% of the speed of light through a region o(...TRUNCATED) | [{"content":"A spaceship is traveling from Alpha Centauri to Earth at a constant speed of 0.999c. Th(...TRUNCATED) | [{"content":"A spaceship is 200m long when viewed at rest. If the ship accelerates to 87% of the spe(...TRUNCATED) | [{"content":"Two observers, A and B, are moving relative to each other at a speed of 0.6c. They star(...TRUNCATED) | [{"content":"Imagine a train moving along a smooth surface with a velocity 0.98c along the x-axis wi(...TRUNCATED) | [{"content":"A bomb has a trigger input sample with a mass equal to 99.99% of the critical mass. If (...TRUNCATED) | [{"content":"Problem 2: The proper mean lifetime of pions is 2.6 × 10^-8 s. If a beam of pions has (...TRUNCATED) | [{"content":"Consider the twin paradox scenario where twin A remains on Earth while twin B travels t(...TRUNCATED) | [{"content":"A particle with a rest mass of 1 kg is traveling at 0.9c relative to an observer. What (...TRUNCATED) | [{"content":"Given the scenario of a baseball pitched at 0.9c, calculate the total energy of the bas(...TRUNCATED) | [{"content":"Consider a baseball thrown at 0.9c. Using relativistic kinetic energy formulas, calcula(...TRUNCATED) | [{"content":"Suppose that a positron traveling at a speed of 0.93c collides head-on with an electron(...TRUNCATED) | [{"content":"An astronaut is traveling at a speed of 0.866c relative to an observer on Earth. If the(...TRUNCATED) | [{"content":"A spaceship passes a shuttle at velocity V1, and the shuttle pilot measures the magnitu(...TRUNCATED) | [{"content":"Two identical spacecraft are moving towards each other at a relative velocity of 0.9999(...TRUNCATED) | [{"content":"Given that a photon travels from the sun to the earth in 8 minutes (with speed c) and c(...TRUNCATED) | [{"content":"An interstellar spacecraft is traveling at 90% of the speed of light through a region o(...TRUNCATED) | [{"content":"A lighthouse emits light pulses at a proper time interval of 2.0 seconds. An observer i(...TRUNCATED) | [{"content":"An object with a rest mass of 1 kg is accelerated to 90% of the speed of light. 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Magpie-Align/Llama-3-Magpie-Air-3M-v0.1/train/0001 | 22,835 | 0.206632 | [{"content":"Problem: Create a program that allows the user to enter the length, width, and height o(...TRUNCATED) | [{"content":"What is the formula for the surface area of a rectangular prism?","role":"user"},{"cont(...TRUNCATED) | [{"content":"What are the 4 main reasons you wish grandparents would stop speaking grandma/grandpa?"(...TRUNCATED) | [{"content":"A sphere of radius 3 has a density given by ρ = k r^2. Find k","role":"user"},{"conten(...TRUNCATED) | [{"content":"I'm trying to estimate the volume of a sphere. I need a rough estimate.","role":"user"}(...TRUNCATED) | [{"content":"Python Script: Moving to a new House","role":"user"},{"content":"Here is a Python scrip(...TRUNCATED) | [{"content":"What is the use of dual-booting?","role":"user"},{"content":"Dual-booting is a process (...TRUNCATED) | [{"content":"I was trying to create a smart door lock with a custom M5Stack MQTT client. 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TIGER-Lab/WebInstructSub/train/0003 | 11,547 | 0.223496 | [{"content":"Find the derivative of #g(x)=(x+4)^5 # and evaluate it at #x=-2#.","role":"user"},{"con(...TRUNCATED) | [{"content":"Determine the derivative of #y=ln^(sin(2x))#.","role":"user"},{"content":"Using the cha(...TRUNCATED) | [{"content":"Find the derivative of f(x) = x^3 + cos(2x).","role":"user"},{"content":"Using the sum (...TRUNCATED) | [{"content":"Find the derivative of the function $f(x) = (x^2 + 1)^{\\sin x}$.","role":"user"},{"con(...TRUNCATED) | [{"content":"Find the derivative of the function #f(x) = ln(sin(5x))#.","role":"user"},{"content":"U(...TRUNCATED) | [{"content":"Find the derivative of the function $y = \\cos{(\\sqrt{x^3 - 2x})}$ without simplifying(...TRUNCATED) | [{"content":"Apply the distributive property to solve the equation: 20 = 4(5x - 5)?","role":"user"},(...TRUNCATED) | [{"content":"Find the derivative of the function g(x) = ln[(2x-1)(3x-2)(5x+1)] using the logarithmic(...TRUNCATED) | [{"content":"What is the derivative of #y = \\log(x^2 + 1)# with respect to #x#?","role":"user"},{"c(...TRUNCATED) | [{"content":"Evaluate the derivative of g(x) = x * cos(2x) * sin(2x) using the product rule.","role"(...TRUNCATED) | [{"content":"Find the partial derivative of $g(x,y) = f(x^2 + y^2 ,xy)$ with respect to $y$, where $(...TRUNCATED) | [{"content":"What is the derivative of the function #f(x, y) = sin(x) - cos(y) - 2# with respect to (...TRUNCATED) | [{"content":"How can we simplify $(\\log_{10}(5))^{3}$ using logarithms?","role":"user"},{"content":(...TRUNCATED) | [{"content":"Derive the asymptotic distribution of the second order statistic $X_{(2)}$ as $n \\to \(...TRUNCATED) | [{"content":"Calculate the derivative of the function #f(x) = ln(e^x)# using the chain rule.","role"(...TRUNCATED) | [{"content":"Find the derivative of g(x) = arcsin(x^2 - 3)?","role":"user"},{"content":"Using the Ch(...TRUNCATED) | [{"content":"Find the derivative of the function #f(x) = (2x + 3)^(-3/4)# using the Chain Rule.","ro(...TRUNCATED) | [{"content":"How do you find the derivative of v = (3t^2 + 1)(2t - 4)^3?","role":"user"},{"content":(...TRUNCATED) | [{"content":"What is the derivative of f(x) = πcos((x-1)/x^2)?","role":"user"},{"content":"Using th(...TRUNCATED) | [{"content":"Find the derivative of $y=\\sec^{-1}\\left(\\dfrac {1}{\\sqrt{1-x^2}}\\right)$.","role"(...TRUNCATED) | [{"content":"How can I find the derivative of a function where both the base and exponent of an expo(...TRUNCATED) | [{"content":"Find the derivative of the function y = sin(ln(x^2 + 1)).","role":"user"},{"content":"U(...TRUNCATED) | [{"content":"Find the derivative of the function f(x) = log_3(x^2 + 1).","role":"user"},{"content":"(...TRUNCATED) | [{"content":"Given a one-dimensional kinematic equation for position, x(t), where an object is in fr(...TRUNCATED) | [{"content":"Find the derivative of the following integral with respect to $y$:\n\n$$\\frac{d }{dy}\(...TRUNCATED) | [{"content":"How can you find the derivative of y = ln(u(x)), where u(x) is a function of x?","role"(...TRUNCATED) | [{"content":"Find the derivative of the function $f(x) = \\cos^{-1}(x)^3$ using the chain rule and t(...TRUNCATED) | [{"content":"What is the derivative of the function f(x) = tan(arcsin x)?","role":"user"},{"content"(...TRUNCATED) | [{"content":"Find the derivative of the function $$f(x) = \\sqrt{\\frac{1-x^2}{1+x^2}}$$ using the c(...TRUNCATED) | [{"content":"What is the derivative of the function #f(x) = sin(arcsec(x))#?","role":"user"},{"conte(...TRUNCATED) | [{"content":"Calculate the derivative of #F(x)=\\int_{x}^{x^3} \\sin(t^3)dt# using the Fundamental T(...TRUNCATED) | [{"content":"When performing implicit differentiation, why do we take the derivative of $y$ with res(...TRUNCATED) | [{"content":"Calculate the first and second derivatives of the function f(x) = e^(sqrt(x)).","role":(...TRUNCATED) | [{"content":"What do the notations (2,0,0), (3,0,0), etc., represent in the context of electron wave(...TRUNCATED) | [{"content":"What is the derivative of the function #f(x) = (x^4)^(1/3)#?","role":"user"},{"content"(...TRUNCATED) | [{"content":"Find the derivative of the function g(x) = e^(-x^2)?","role":"user"},{"content":"Using (...TRUNCATED) | [{"content":"Find the derivative of the function f(x) = (x+8)^(1/3) using the chain rule.","role":"u(...TRUNCATED) | [{"content":"Find the third derivative of y = Csin(Dx).","role":"user"},{"content":"First, find the (...TRUNCATED) | [{"content":"What is the derivative of \\( \\sin(\\sin(x)) \\)?","role":"user"},{"content":"The deri(...TRUNCATED) | [{"content":"Calculate the derivative of #int_0^(2x) cos^2(3t+2) dt#.","role":"user"},{"content":"Us(...TRUNCATED) | [{"content":"Evaluate the derivative of $x^8$ with respect to $x^4$, i.e., find $\\frac{dx^8}{dx^4}$(...TRUNCATED) | [{"content":"Calculate the derivative of the function $G(x) = \\int_{x+1}^{3x+1} \\cos(u^2) du$ with(...TRUNCATED) | [{"content":"How do you find the first and second derivatives of ln(x/(x^2+1))?","role":"user"},{"co(...TRUNCATED) | [{"content":"Find the derivative of the integral #int_a^(x^2) cos(t^2) dt# using the second fundamen(...TRUNCATED) | [{"content":"What is the derivative of the function f(x) = √(3x + 1)?","role":"user"},{"content":"(...TRUNCATED) | [{"content":"If the cost function for a product is C(x) = 0.8x^2 + 120x + 110, what is the marginal (...TRUNCATED) | [{"content":"Find the derivative of the function f(x) = 5x^(2/5).","role":"user"},{"content":"Using (...TRUNCATED) | [{"content":"Calculate the derivative of the function #f(x) = ln(2x^2 + 3x - 1)^3#.","role":"user"},(...TRUNCATED) | [{"content":"Find the derivative of #cos(sin(x))# using the Chain Rule.","role":"user"},{"content":"(...TRUNCATED) | [{"content":"Find the second derivative of the function #f(x) = cot(3x^3)#?","role":"user"},{"conten(...TRUNCATED) | [{"content":"Find the derivative of \\(y=(1-\\sin x)^e\\).","role":"user"},{"content":"Using the cha(...TRUNCATED) | [{"content":"Find the derivative of the function f(x) = (x^2-1) / (2x-3) using the power rule and th(...TRUNCATED) | [{"content":"Find the second derivative of #sin(x^2y)# with respect to x.","role":"user"},{"content"(...TRUNCATED) | [{"content":"Find the second derivative of the function #ln(cos(x))#.","role":"user"},{"content":"Us(...TRUNCATED) | [{"content":"Determine the derivative of #g(x) = (x + 1)^3# at x = 2.","role":"user"},{"content":"Us(...TRUNCATED) | [{"content":"Find the derivative of f(x) = sin(e^(2x)).","role":"user"},{"content":"Applying the cha(...TRUNCATED) | [{"content":"Find the derivative of the function g(x) = (2x + 1)^3, using the Chain Rule.","role":"u(...TRUNCATED) | [{"content":"Find the derivative of the function f(x, y) = xye^y - xcos(xy) with respect to y, treat(...TRUNCATED) | [{"content":"Find the derivative of the function f(x) = e^(2x).","role":"user"},{"content":"Using th(...TRUNCATED) | [{"content":"How do you use the Fundamental Theorem of Calculus to find the derivative of the functi(...TRUNCATED) | [{"content":"Find the implicit derivative of the equation xy + ln(xy) = 4.","role":"user"},{"content(...TRUNCATED) | [{"content":"What is the derivative of the function #g(x)=(cos(x))^3#?","role":"user"},{"content":"U(...TRUNCATED) | [{"content":"Find the second derivative of the function #f(x)=e^(e^x)#.","role":"user"},{"content":"(...TRUNCATED) | [{"content":"Derive the approximation of $[1/(1 - (1/2x))]$ to $[1 + (1/2x)]$ for very large values (...TRUNCATED) |
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