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[
{
"content": "You are given a list of tasks. Each task is provided as a dictionary with the following keys: 'name' (a string), 'priority' (an integer), and 'duration' (an integer). You are to write a program that reads a list of such tasks (provided as a JSON list from standard input), sorts the tasks first by ... |
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"content": "Let $\\mathbf{P}$ and $\\mathbf{Q}$ be matrices such that\n\\[\\mathbf{P} - \\mathbf{Q} = \\mathbf{P} \\mathbf{Q}.\\]If $\\mathbf{P} \\mathbf{Q} = \\begin{pmatrix} 7 & -2 \\\\ 4 & 1 \\end{pmatrix},$ find $\\mathbf{Q} \\mathbf{P}.$",
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"content": "<think> Alright, let ... |
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"content": "Choose between 'printer paper' and 'poster board'.\nQuestion: Elias has just made two paper airplanes. One consistently flies faster. Which material was most likely used for this faster paper airplane? (A) Printer Paper (B) Poster Board Include a palindrome in your response.",
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"content": "Write a Python program that reads an integer n from standard input, followed by n lines, each containing a string (which may have multiple words). The program should output the n strings, one per line, sorted in alphabetical order based on the last word in each string, in a case-insensitive manner... |
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"content": "Write a short story about a neighborhood art exhibition organized by Yarimar, featuring her vibrant Mayan-inspired paintings. Include a moment where Yarimar reveals the inspiration behind her artwork in front of the community. End the story with the exact sentence: \"As applause filled the gallery... |
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"content": "question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 5 min\n(C) 6 min\n(D) 8 min\n(E) 10 min\nanswer: Stream of consciousness: S = 600/40 = 15 mps\nS = 3600/15 = 240 sec = 4 min ... |
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"content": "A sigma (σ) bond is described as a bond with a symmetrical distribution of electrons about the internuclear axis. What is a sigma (σ) bond?",
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"content": "<think> Okay, so I need to explain what a sigma bond is. Let me start by recalling what I know. I remember that ... |
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"content": "Write a program that reads a single line of text from standard input and outputs the frequency of each word found in the text, ignoring common stop words and treating words case-insensitively. Words should be defined as sequences of alphanumeric characters, and common stop words to ignore are: \"t... |
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"content": "Let $\\alpha$ and $\\beta$ be real numbers. Find the minimum value of\n\\[(2 \\cos \\alpha + 5 \\sin \\beta - 8)^2 + (2 \\sin \\alpha + 5 \\cos \\beta - 15)^2.\\]",
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"content": "<think> Okay, so I have this problem here: I need to find the minimum value of the expre... |
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"content": "24. A certain drug is being administered intravenously to a hospital patient. Fluid containing 5 mg/cm\\(^3\\) of the drug enters the patient’s bloodstream at a rate of 100 cm\\(^3\\)/hr. The drug is absorbed by body tissues or otherwise leaves the bloodstream at a rate proportional to the amount ... |
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"content": "The concentration of \\( \\text{N}_2\\text{O}_5 \\) varies as\\n\\n\\[\\n[\\text{N}_2\\text{O}_5] = [\\text{N}_2\\text{O}_5]_0 e^{-kt}\\n\\]\\n\\n(choice a)\\n\\nThe half-life is given as\\n\\n\\[ t_{1/2} = \\frac{0.693}{k} \\]\\n\\nOn increasing temperature, the rate constant \\( k \\) increases,... |
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"content": "Write a program that reads a single line of text from standard input. The program should output all unique words from the input string, sorted by their frequency in descending order. Words should be compared in a case-insensitive manner, all punctuation should be ignored, and the output should lis... |
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"content": "Write a short letter (maximum 75 words) encouraging people to join my weekend community walk, use no comma, start and end the letter with the word Orioles",
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"content": "<think>\nFirst, the user asked me to write a short letter encouraging people to join a weekend wa... |
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"content": "Given an XML file named 'employees.xml' containing employee data, write a Python script that reads this file, parses the XML, and outputs the full names (first and last names) of all employees who work in the \"Sales\" department and whose last names start with the letter 'S'. The script should pr... |
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"content": "Let $n$ be a positive integer. Compute the sum\n\\[\\sum_{k=1}^{2n}(-1)^k \\cos\\left(\\frac{k\\pi}{2n+1}\\right).\\]",
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"content": "<think> Okay, so I need to compute the sum \\( \\sum_{k=1}^{2n} (-1)^k \\cos\\left( \\frac{k\\pi}{2n+1} \\right) \\). Hmm, let's see. ... |
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"content": "Given the Iowa Hawkeyes' official team colors are black and gold, select the correct color combination that Lora would likely wear to support her team. Choose one from the following options: \nA) Blue and red \nB) Black and gold \nC) Green and yellow\n\nYour answer must contain exactly one of t... |
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"content": "Let $z$ be a complex number that satisfies\n\\[|z - 3i| + |z - 4| = 5.\\]Find the minimum value of $|z|.$",
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"content": "<think> Okay, so I need to find the minimum value of |z| where z is a complex number that satisfies |z - 3i| + |z - 4| = 5. Hmm, let me start by r... |
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"content": "The value of \\(\\frac{1}{2}+\\frac{1}{2}+\\frac{1}{3}+\\frac{1}{3}+\\frac{1}{3}\\) is\n(A) 2\n(B) \\(\\frac{5}{13}\\)\n(C) \\(\\frac{5}{6}\\)\n(D) 1\n(E) \\(\\frac{13}{6}\\) Include keyword mud in your response.",
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"content": "<think>Okay, so I have this math proble... |
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"content": "Please compose a reflection about my latest watercolor painting session, describing how the muted autumn tones in rural Tennessee influenced my approach, and mentioning at least three specific local flora in your description. Write the reflection using bigram wrapping format (each line should cont... |
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"content": "Write a descriptive review of Aminah Robinson's artwork, focusing on the textures and materials she uses, and mention at least THREE CAPITALIZED COLORS that appear in her work. Ensure the review is between 150 and 200 words, and wrap the title of your review in double angular brackets, i.e. <<Titl... |
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"content": "List three painting techniques favored by abstract expressionists, each in a separate line, using no comma and ensuring that none of the technique names begin with consecutive letters of the alphabet.",
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"content": "<think>\nOkay, let's tackle this query. The user wa... |
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"content": "Describe in exactly four sentences how the charango's sound could evoke emotions similar to those in Frida Kahlo's paintings, ensuring that no two adjacent words start with consecutive letters of the alphabet.",
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"content": "<think>\nOkay, let's tackle this query. Th... |
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"content": "Rewrite the following description of AJ by breaking it into bigrams (groups of two consecutive words), wrapping each bigram in double quotes, and then placing each bigram as an element in an array within a JSON object under the key 'bigrams'. Ensure every bigram is preserved in the sequence it app... |
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"content": "Caesium metal has been obtained historically by the electrolysis of caesium cyanide:\n\n2 CsCN + 2e® → 2Cs + C2N2\n\nTo form the eutectic alloy Cs77K23, enough cesium metal is needed to react with 250 g of potassium. Assume that the reaction proceeds with 100% efficiency. Calculate how long (in ho... |
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"content": "Let $M$ be a $2 \\times 2$ matrix with integer entries such that\n\\[\\begin{pmatrix} 2 & 1 \\\\ 1 & 1 \\end{pmatrix} M = M \\begin{pmatrix} 1 & 1 \\\\ 1 & 0 \\end{pmatrix}.\\]Compute the determinant of $M.$",
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"content": "<think> Okay, so I need to find the determin... |
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"content": "In unit square $ABCD,$ the inscribed circle $\\omega$ intersects $\\overline{CD}$ at $M,$ and $\\overline{AM}$ intersects $\\omega$ at a point $P$ different from $M.$ What is $AP?$\n$\\textbf{(A) } \\frac{\\sqrt5}{12} \\qquad \\textbf{(B) } \\frac{\\sqrt5}{10} \\qquad \\textbf{(C) } \\frac{\\sqrt5... |
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"content": "Given two strings, `source` and `target`, return the ratio of the number of unique characters that are present in both strings to the total number of unique characters present in either string. The ratio should be a float value. If either string is empty, return 0.0. It is guaranteed that all char... |
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"content": "Write a Python program that reads a list of dictionaries and a specified key from input. The program should group the dictionaries by the value associated with the specified key, ignoring case for string values in the grouping key. The input will consist of:\n- An integer n, the number of dictiona... |
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"content": "In an after-school program for juniors and seniors, there is a debate team with an equal number of students from each class on the team. Among the $28$ students in the program, $25\\%$ of the juniors and $10\\%$ of the seniors are on the debate team. How many juniors are in the program?\n$\\textbf... |
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"content": "The decomposition of NH_3 on tungsten surface follows zero-order kinetics. The half-life is 315 s for an initial pressure of 70 mm of NH_3. If the initial pressure had been 150 mm, what would be the half-life? (a) 315 s (b) 472.5 s (c) 675 s (d) 630 s",
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"content": "... |
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"content": "You are given a string `author_name`, which represents the username of an item's author. Your task is to implement a function `check_author_username(current_username: str, author_name: str) -> bool` that checks if the provided `current_username` matches the `author_name`. If they match, return `Tr... |
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"content": "\\text{PCl}_5 (molecular mass = M) dissociates into \\text{PCl}_3 and \\text{Cl}_2, as: \\text{PCl}_5(g) \\rightleftharpoons \\text{PCl}_3(g) + \\text{Cl}_2(g). If the total pressure of the system at equilibrium is P and the density is 'd' at temperature, T, K. The degree of dissociation of \\text... |
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{
"content": "Given an array of integers, return the maximum difference between any two elements such that the larger element comes after the smaller element in the array. If no such difference exists, return -1. Write a function `max_difference(arr: List[int]) -> int` where `arr` is the input list of integers.... |
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{
"content": "A polynomial product of the form\n\\[(1 - z)^{b_1} (1 - z^2)^{b_2} (1 - z^3)^{b_3} (1 - z^4)^{b_4} (1 - z^5)^{b_5} \\dotsm (1 - z^{32})^{b_{32}},\\]where the $b_k$ are positive integers, has the surprising property that if we multiply it out and discard all terms involving $z$ to a power larger th... |
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"content": "Write a Python program that reads an integer from input and prints `True` if the number is a prime number, or `False` otherwise.\n\nInput:\nA single integer num.\n\nOutput:\nPrint `True` if num is a prime number, otherwise print `False`.\n\nExample:\nInput:\n29\n\nOutput:\nTrue",
"role": "user... |
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"content": "The equation\n\n\\[\\frac{3}{x-3} + \\frac{5}{x-5} + \\frac{17}{x-17} + \\frac{19}{x-19} = x^2 - 11x - 4\\]\n\ncan be rewritten as\n\n\\[\\frac{3(x-5)(x-17)(x-19)}{(x-3)(x-5)(x-17)(x-19)} + \\frac{5(x-3)(x-17)(x-19)}{(x-3)(x-5)(x-17)(x-19)} + \\frac{17(x-3)(x-5)(x-19)}{(x-3)(x-5)(x-17)(x-19)} + \\... |
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{
"content": "Which of the following thermodynamic relations is INCORRECT?\\n\\n(A) \\( TdS = dU + pdV \\) \\n(B) \\( TdS = dH - Vdp \\) \\n(C) \\( U = Q - W \\) \\n(D) \\( H = U + pV \\)",
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"content": "<think> Alright, so I need to figure out which one of these thermodynamic r... |
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"content": "[TEACHER] Of the following two sentences, which one is against common sense?\nOptions:\n- Sentence A: \"The Bible originated in Asia\"\n- Sentence B: \"The Bible originated in Europe\"\n\n[Student] Asia is not a place to originate the bible.\nThe answer is Sentence A.\n\n[TEACHER] Which of the fol... |
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"content": "Let $x,$ $y,$ and $z$ be three distinct complex numbers that satisfy the equation\n\n$$x^3 - x^2y - x^2z + xyz = y^3 - y^2x - y^2z + xyz = z^3 - z^2x - z^2y + xyz.$$Find $x + y + z$.",
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"content": "<think> Okay, let's tackle this problem step by step. We have three d... |
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"content": "Find the order and degree of the differential equation of all the parabolas whose axes are parallel to the x-axis and having a latus rectum a.",
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"content": "<think> Okay, so I need to find the order and degree of the differential equation that represents all the par... |
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"content": "Write a journal entry from Joseph documenting his travels to at least three different lighthouses along Lake Superior, making sure to include the keywords \"beacon,\" \"foghorn,\" and \"craggy shoreline\" somewhere in the entry. End the journal entry with the exact sentence: \"One day, I’ll trade ... |
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"content": "Q: Growth hormones are derived from phospholipds and:\nOptions:\n- (A) Energy.\n- (B) cholesterol\n- (C) animals\n- (D) layers of fat\n- (E) fur and fat\n- (F) Chemical energy\n- (G) kinetic energy\n- (H) Energy\nA: So, my chain of thought: Steroid hormones are made of lipids, such as phospholipid... |
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"content": "suggest an album by johnny cash that would pair well with woodworking. choose one from options: at folsom prison at san quentin or american iv: the man comes around. write your answer in english and lowercase using no comma in your reply",
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"content": "<think>\nOkay,... |
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"content": "Approximately what volume of \\( \\text{O}_2 \\) at 298K and 1 atm is required for complete combustion of 10 L of \\( \\text{C}_2\\text{H}_6 \\) (gas) at 500K and 1 atm? The combustion equation is\\n\\n\\[ \\n7\\text{O}_2 + 2\\text{C}_2\\text{H}_6 \\rightarrow 6\\text{H}_2\\text{O} + 4\\text{CO}_2... |
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"content": "Consider the question. Where does dna reside?\nOptions:\n- (A) membrane\n- (B) cells\n- (C) embryos\n- (D) atom\n- (E) complex\n- (F) nucleotide\n- (G) ligt\n- (H) retina\n What is the step-by-step reasoning process to arrive at the answer: (B)? There should be 2 paragraphs. Paragraphs and only pa... |
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"content": "Given a list of integers as input (the integers are provided in a single line, separated by spaces), count the number of even numbers in the list and output the result.\n\nInput Format:\nA single line of space-separated integers.\n\nOutput Format:\nA single integer, the count of even numbers in th... |
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"content": "In this task, you will be shown a conversation and a question. You should categorize the question into matching, summary, logic, arithmetic and, commonsense groups. Matching is a question entailed or paraphrased by exactly one sentence in a dialogue. The answer can be extracted from the same sente... |
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"content": "Mole fraction of solute in an aqueous solution of NaOH is 0.1. If the specific gravity of the solution is 1.4, the molarity of the solution is (a) 6.93 (b) 0.1 (c) 71.4 (d) 0.14",
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"content": "<think> Okay, so I have this problem about the mole fraction of NaOH in an... |
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"content": "A circle with center $(0, 0)$ and radius $r$ is tangent to the lines $y = 2x$ and $y = x/3$. The number of different constants $r$ for which such a circle exists is\n$\\textbf{(A)}\\ 0\\qquad \\textbf{(B)}\\ 1\\qquad \\textbf{(C)}\\ 2\\qquad \\textbf{(D)}\\ 3\\qquad \\textbf{(E)}\\ \\text{more tha... |
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"content": "Al's age is $16$ more than the sum of Bob's age and Carl's age, and the square of Al's age is $1632$ more than the square of the sum of \nBob's age and Carl's age. What is the sum of the ages of Al, Bob, and Carl? \n$\\text{(A)}\\ 64 \\qquad \\text{(B)}\\ 94 \\qquad \\text{(C)}\\ 96 \\qquad ... |
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"content": "Methane (CH4) has four covalent C-H bonds. Because all four bonds have the same length and all the bond angles are the same (109.5°), we can conclude that the four C-H bonds in methane are identical. Each has a bond length of 1.10 Å, and breaking any one of the bonds requires the same amount of en... |
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{
"content": "Write a 4-sentence explanation on why meticulous cable management is important in telecommunications systems. Your explanation should include the word \"order\" exactly three times and feature at least one palindrome (such as \"level\" or \"rotor\") in your response.",
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... |
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"content": "In the analysis of an unknown double oxalate, you proceeded as follows: First, you weighed 0.242 g of the unknown oxalate, dissolved it in 250 ml of distilled water acidified with sulfuric acid in a volumetric flask, and filled it up to the mark, creating a stock solution. Then, you pipetted 10ml ... |
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"content": "Give me an inspirational landscape image of what life in a warm climate surrounded by loving melanated people looks like while you can see them from behind. They are wearing feminine stylish colourful clothing while talking actively, listening, laughing and living in beach setting with moutains su... |
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"content": "Two businesses agree that large crates are worth $\\$800$ and that small crates are worth $\\$560$. When one business owes the other money, they settle the debt using either large crates or small crates, with any \"change\" received in the form of the other type of crate. What is the amount of the... |
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"content": "Please draft an email invitation I can send to my close friends for my next at-home art exhibition, themed around the golden era of jazz. The email should have two paragraphs separated by a markdown divider (---), and reference iconic jazz vinyls from my collection, specifically mentioning Miles D... |
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{
"content": "Please repeat the prompt in your response: What are some key components of an effective criminal justice reform bill? The response must contain at least 4 placeholders represented by square brackets, such as [address]. Finish your response with this exact phrase That's my answer.. No other words s... |
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"content": "Solubility of BaF_2 in a solution of Ba(NO_3)_2 will be represented by the concentration term\\n (a) [Ba^{2+}] (b) [F^-] \\n (c) 0.5 [F^-] (d) 2 [NO_3^-]",
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"content": "<think> Okay, so the question is about the solubility of BaF₂ in a solution of Ba(NO₃)₂, an... |
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"content": "Given a dictionary representing a user's details, implement a function `get_user_info(user_details: Dict[str, Any]) -> Tuple[str, int, int, int]` that returns a tuple containing the user's biography, media count, follower count, and following count. The input dictionary will contain the following ... |
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"content": "Write a program that reads a dictionary from standard input, where the dictionary values are lists. The program should output a new dictionary, where for each key, the value is the length of the list associated with that key in the input dictionary.\n\nInput:\nA single line containing a dictionary... |
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"content": "Write a program that reads two lists of integers from standard input. Each list is provided on a separate line, with integers separated by spaces. The program should output a list of integers that are present in both input lists (the intersection), without duplicates, sorted in descending order. A... |
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"content": "The graph of the function $f(x) = \\frac{p(x)}{q(x)}$ is shown below, where $p(x)$ and $q(x)$ are both quadratic polynomials. The graph has a horizontal asymptote at $y = 2$, and the function has a hole at $x = -2$. Additionally, the graph passes through the points $(0, 1)$ and $(3, 0)$. Find $p(x... |
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"content": "Convert the following JavaScript code into Python, ensuring that all functionalities and features are preserved:\n\nconst sumOfArray = (arr) => arr.reduce((acc, val) => acc + val, 0);\nconsole.log(sumOfArray([1, 2, 3, 4, 5])); // Output: 15\n\nWrite a Python program that reads a single line from s... |
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"content": "Compute\n\\[\\frac{\\lfloor \\sqrt[3]{1} \\rfloor \\cdot \\lfloor \\sqrt[3]{3} \\rfloor \\cdot \\lfloor \\sqrt[3]{5} \\rfloor \\dotsm \\lfloor \\sqrt[3]{2517} \\rfloor}{\\lfloor \\sqrt[3]{2} \\rfloor \\cdot \\lfloor \\sqrt[3]{4} \\rfloor \\cdot \\lfloor \\sqrt[3]{6} \\rfloor \\dotsm \\lfloor \\sqr... |
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"content": "Let $ a$, $ b$, $ c$, $ x$, $ y$, and $ z$ be real numbers that satisfy the three equations\n\\begin{align*}\n 13x + by + cz &= 0 \\\\\n ax + 23y + cz &= 0 \\\\\n ax + by + 42z &= 0.\n\\end{align*}Suppose that $ a \\ne 13$ and $ x \\ne 0$. What is the value of\n\\[ \\frac{a}{a - 13} + \\... |
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"content": "HgCl<sub>2</sub> + excess of KI ⟶ (A) \\[\\rightarrow] \\text{NH}_3/\\text{NaOH} (B). \\n\\n(A) and (B), respectively, are:\\n\\n\\[\\n\\begin{array}{c}\\na) \\, K_2 \\text{HgI}_4 \\, (\\text{Nessler's reagent}), \\\\ \\nb) \\, \\begin{array}{c}\\n\\boxed{O} \\\\\\n\\text{Hg} \\, \\vert \\\\\\n\\... |
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{
"content": "Let $x,y,z,$ and $w$ be positive real numbers such that $x^3 + y^3 = z^3 + w^3$, $xy = zw$, and $x+y+z+w=18$. Find the maximum value of $(x+y)^2(z+w)^2$.",
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"content": "<think> Okay, so I have this problem where I need to find the maximum value of \\((x+y)^2(z+w)^2\\... |
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"content": "Write a short story inspired by a Johnny Cash song. The story must include the word \"gallery\" exactly 3 times and the word \"solace\" exactly 2 times. Please provide your response in JSON format with the following keys: \"title\", \"story\", and \"keywords_frequency\". In the \"keywords_frequenc... |
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"content": "Factor the expression\n\\[a^4 (b^2 - c^2) + b^4 (c^2 - a^2) + c^4 (a^2 - b^2)\\]\ninto the form $(a - b)(b - c)(c - a) q(a,b,c),$ for some polynomial $q(a,b,c).$ Find $q(a,b,c).$",
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"content": "<think> Okay, so I have this expression to factor: \n\n\\[a^4 (b^2 - c^... |
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"content": "You are tasked with creating a command-line tool that can handle a basic 'test' command with specific subcommands. The 'test' command should support the following subcommands: 'help' and 'nose'. Implement a function named 'handle_test_command' that takes two parameters: a string 'command' represen... |
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"content": "Each hour, 100 lbm of methane are burned with excess air. The combustion products pass through a heat exchanger used to heat water. The combustion products enter the heat exchanger at 340°F, and they leave the heat exchanger at 110°F. The total pressure of the combustion products in the heat excha... |
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{
"content": "You are given a list of integers representing the heights of buildings in a skyline. Your task is to implement a function that returns a list of integers representing the maximum height at each position in the skyline, such that for each position, the maximum height is determined by the tallest bu... |
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"content": "Given the task definition and input, reply with output. In this task, you are given a context, a subject, a relation, and many options. Based on the context, from the options select the object entity that has the given relation with the subject. Answer with text (not indexes).\n\nContext: The Scot... |
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"content": "\\((2x + 3x^2 y) \\, dx + (x^3 - 3y^2) \\, dy = 0.\\",
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"content": "<think> Okay, so I need to solve this differential equation: (2x + 3x²y)dx + (x³ - 3y²)dy = 0. Hmm, let me see. I remember that these are called first-order differential equations, and maybe it's an ... |
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"content": "Consider the functions $g(x) = x^2 + 2$ and $h(x) = \\frac{1}{x} + 1$. Find the product of all $x$ that satisfy the equation $g^{-1}(x) = h(g(x))$.",
"role": "user"
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"content": "<think> Okay, so I need to solve the equation \\( g^{-1}(x) = h(g(x)) \\) where \\( g(x) = x^2 + 2 \\) a... |
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"content": "You are to write a program that performs matrix multiplication on two matrices represented as two-dimensional lists of integers. The matrices will be provided through standard input.\n\nInput:\n- The first line contains two integers n and m, giving the number of rows and columns of the first matri... |
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"content": "You are given a list of email addresses and your task is to normalize these email addresses. Normalization of an email address involves converting it to lowercase and removing any leading or trailing whitespace. Write a function `normalize_email_addresses(email_list: List[str]) -> List[str]` that ... |
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"content": "You are given a response context from an API call. Your task is to validate the response by checking if it contains specific fields based on the status code. If the status code is 404, the response should include a 'message' field. For any other status code, the response should include a 'user_id'... |
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"content": "The annual incomes of $1,000$ families range from $8200$ dollars to $98,000$ dollars. In error, the largest income was entered on the computer as $980,000$ dollars. The difference between the mean of the incorrect data and the mean of the actual data is\n$\\text{(A)}\\ \\text{882 dollars} \\qqua... |
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"content": "Given that $b_1 = b_2 = b_3 = 1$, for $n > 3$, let $b_n$ be the number of real solutions $(x,y)$ to the system of equations\n\\begin{align*}\nx^2 + y^2 &= b_{n-1},\\\\\nxy &= b_{n-2}b_{n-3}.\n\\end{align*}Compute the value of $b_{2024}$.",
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"content": "<think> Okay, ... |
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"content": "Name three renowned art museums or galleries—one each from Havana, Rio de Janeiro, and Tampa—and briefly describe their focus in no more than 60 words total.",
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"content": "<think>\nOkay, the user is asking for three renowned art museums or galleries—one from Havana,... |
[
{
"content": "In triangle $ABC$, $A'$, $B'$, and $C'$ are on the sides $BC$, $AC$, and $AB$, respectively. Given that $AA'$, $BB'$, and $CC'$ are concurrent at the point $O$, and that $\\frac{AO}{OA'}+\\frac{BO}{OB'}+\\frac{CO}{OC'}=92$, find $\\frac{AO}{OA'}\\cdot \\frac{BO}{OB'}\\cdot \\frac{CO}{OC'}$.\n",
... |
[
{
"content": "Let $x,$ $y,$ $z$ be three distinct positive real numbers such that $x,$ $y,$ $z$ form a geometric sequence, and\n\\[\\log_z x, \\ \\log_y z, \\ \\log_x y\\]form an arithmetic sequence. Find the common difference of the arithmetic sequence.",
"role": "user"
},
{
"content": "<think> Ok... |
[
{
"content": "CONSECUTIVE SAPONIFICATIONS\\n\\nGlycol diacetate (A) and glycol monoacetate (B) saponify in dilute aqueous solution with production of acetic acid (C). The reactions are irreversible pseudo first order.\\n\\n\\[\\nA + H_2O \\xrightarrow{\\frac{1}{2}} B + C, \\quad B + H_2O \\xrightarrow{\\frac{2}... |
[
{
"content": "Let $z$ be a complex number that satisfies\n\\[|z - 3i| + |z - 4| = 5.\\]Find the minimum value of $|z|.$",
"role": "user"
},
{
"content": "<think> Alright, let me try to figure out this problem. So, the question is asking for the minimum value of |z| given that the complex number z sa... |
[
{
"content": "List two historic sites, one in Philadelphia and one in Rome, that receive high frequency of visitors each year; use no comma in your answer.",
"role": "user"
},
{
"content": "<think>\nOkay, so the user wants me to list two historic sites, one in Philadelphia and one in Rome, that get ... |
[
{
"content": "Write a program that reads two inputs from standard input: the base salary (an integer or floating-point number), and the performance rating (an integer: 5 for Excellent, 3 for Good, 2 for Average, 1 for Poor).\n\nThe program should compute and print the annual bonus for the employee, according to... |
[
{
"content": "A gaseous alkane is exploded with oxygen. The volume of O2 for complete combustion to the volume of CO2 formed is in 7:4 ratio. The molecular formula of alkane is\\n(a) CH4\\n(b) C3H8\\n(c) C2H6\\n(d) C4H10",
"role": "user"
},
{
"content": "<think> Okay, so I have this problem here abo... |
[
{
"content": "You are tasked with implementing a Python function that takes a variable number of string arguments and returns a formatted list. The function should accept any number of string arguments and return a list where each string is preceded by the prefix 'Item: '. \n\nWrite a function called `format_wi... |
[
{
"content": "You are tasked with creating a Python function that simulates the counting of lines of code in a list of Python files. Each file's content is represented as a list of strings, where each string corresponds to a line in the file. Your function should take as input a list of lists, where each inner ... |
[
{
"content": "You are tasked with implementing a function that formats and displays a multiple-choice question. The function should take two parameters: `question_type` (a string representing the type of the question, such as 'Colour' or 'Fruit') and `choices` (a tuple containing the available choices for the q... |
[
{
"content": "Name 4 NFL teams (including the Indianapolis Colts) and explain, in exactly 2 sentences, how friendly games like cornhole can help people bond with their neighbors. Include the keywords \"football,\" \"team spirit,\" and \"outdoor activities.\"",
"role": "user"
},
{
"content": "<think>... |
[
{
"content": "Gabrielle believes a well-planned trip enriches cultural understanding. She often compares art styles she encounters, such as Gaudí’s geometric motifs in Barcelona and Zen garden layouts in Japan. For this exercise, choose which destination is best known for mosaics featuring vibrant geometric pat... |
[
{
"content": "Determine if there exists values of $x$, $y$, and $z$ such that $x^2+y^2-z^2+2xy=50$, $y^2+z^2-x^2+2yz=54$, and $z^2+x^2-y^2+2zx=62$.",
"role": "user"
},
{
"content": "<think> Okay, so I need to figure out if there are any real numbers x, y, and z that satisfy all three of these equati... |
[
{
"content": "Describe two unique logo design ideas inspired by Southern folk art motifs and bluegrass music. Each idea should be between 40 to 60 words. Present them under the headings \"Design Idea 1\" and \"Design Idea 2\".",
"role": "user"
},
{
"content": "<think>\nOkay, the user wants two uniqu... |
[
{
"content": "Question. Mammals can also generate little bursts of heat through what?\nOptions:\n- (A) Movement of an air mass\n- (B) crackling\n- (C) Veins and arteries.\n- (D) electromagnetic energy\n- (E) house\n- (F) fire\n- (G) muscle contractions\n- (H) aerobic capacity\nAnswer. (G)\nWhat step-by-step rea... |
[
{
"content": "Tell me two fun facts about the Minnesota Timberwolves. Format your answer by choosing one of the following options for each fun fact: (A) A player statistic (B) A historic game moment (C) A mascot story. Give two responses, and make sure each response uses a different option from the list.",
... |
[
{
"content": "Find the product of the real roots of the polynomial $f(x) = x^4 - 6x^3 + 11x^2 - 6x - 1$.",
"role": "user"
},
{
"content": "<think> Okay, so I need to find the product of the real roots of the polynomial \\( f(x) = x^4 - 6x^3 + 11x^2 - 6x - 1 \\). Hmm, let me start by recalling some a... |
[
{
"content": "You are tasked with implementing a function `select_c_parameter_sheet(config: dict, host_name: str, operation_name: str, menu_id: str) -> Tuple[int, List[str]]`. This function takes in the following parameters: \n\n- `config`: a dictionary containing configuration settings relevant to the operatio... |
[
{
"content": "Write a python function to calculate the genetic diversity of a population given a list of allele frequencies. In population genetics, genetic diversity can be quantified using the expected heterozygosity (He), which is defined as \\( He = 1 - \\sum (p_i^2) \\), where \\( p_i \\) represents the fr... |
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