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personahub_czhghbrjci9n6zu70cpphiby
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[ { "role": "user", "content": "Write a python function to find the longest consecutive sequence of positive integers in a given list. The function should take a list of integers as input and return the length of the longest consecutive sequence. The integers in the list can be both positive and negative, but...
ai2-adapt-dev/numinamath_tir_math_decontaminated_60979
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[ { "role": "user", "content": "Prove that\n\n$$\n\\binom{n+t}{n}-\\binom{n}{1}\\binom{n+t-1}{n}+\\binom{n}{2}\\binom{n+t-2}{n}+\\cdots+(-1)^{n}\\binom{n}{n}\\binom{t}{n}=1\n$$\n\nfor any $t$, where $n$ is a positive integer.\n\nHere,\n\n$$\n\\binom{t}{n}=\\frac{t(t-1)(t-2) \\ldots(t-n+1)}{1 \\cdot 2 \\cdot 3...
ai2-adapt-dev/numinamath_tir_math_decontaminated_28133
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[ { "role": "user", "content": "Six nests are placed in a circle and in each of the nests there is a bird. Every night each bird moves to a neighboring nest. Is it possible for all the birds to end up in the same nest after a finite number of nights?" }, { "role": "assistant", "content": "To deter...
ai2-adapt-dev/numinamath_tir_math_decontaminated_24669
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[ { "role": "user", "content": "Let $f(x)=x^3+3$ and $g(x) = 2x^2 + 2x +1$. What is $g(f(-2))$?" }, { "role": "assistant", "content": "To solve for \\( g(f(-2)) \\), we'll follow these steps:\n\n1. Compute \\( f(-2) \\).\n2. Use the result from step 1 to compute \\( g(f(-2)) \\).\n\nHere's the det...
ai2-adapt-dev/numinamath_tir_math_decontaminated_62903
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[ { "role": "user", "content": "Given \\(\\triangle ABC\\) with \\(O\\) as its circumcenter, if \\(\\overrightarrow{AO} = \\overrightarrow{AB} + 2\\overrightarrow{AC}\\), then find the value of \\(\\sin \\angle BAC\\)." }, { "role": "assistant", "content": "To solve this problem, we can start by u...
ai2-adapt-dev/numinamath_tir_math_decontaminated_25254
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[ { "role": "user", "content": "Amber worked for 12 hours last weekend. Armand worked one-third as long and Ella worked twice as long. How many hours did the 3 people work in total?" }, { "role": "assistant", "content": "To determine the total number of hours Amber, Armand, and Ella worked, let's ...
personahub_5ib97n0p9lyd33vx1tk2rxc1
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[ { "role": "user", "content": "Write a python function to calculate the average speed of a runner given the total distance they ran and the total time they took. I'm not too familiar with track and field, but I guess it's like calculating the speed of a soccer player on the field. The function should take tw...
personahub_1v365oejy1ilm5vqlggr3751
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[ { "role": "user", "content": "Write a python function to take a list of integers representing the scores of Kennesaw State Owls men's basketball team in their recent games and return a new list with only the scores that were above the average score. The function should be named `above_average_scores`. \n\nT...
ai2-adapt-dev/numinamath_tir_math_decontaminated_22469
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[ { "role": "user", "content": "How many positive integers, including $1,$ are divisors of both $40$ and $72?$" }, { "role": "assistant", "content": "To determine how many positive integers are divisors of both \\(40\\) and \\(72\\), we can use the concept of the greatest common divisor (GCD). The...
personahub_plkc80alavt6rltxf9li72sb
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[ { "role": "user", "content": "Write a python function to calculate the Value at Risk (VaR) for a given investment portfolio using the historical method. The function should take two inputs: a list of daily returns of the portfolio (as floats) and a confidence level (as a float, e.g., 0.95 for 95% confidence...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_8644
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[ { "role": "user", "content": "I'm new to MVC (and ASP.Net routing). I'm trying to map `*.aspx` to a controller called `PageController`. \n\n\nroutes.MapRoute(\n \"Page\",\n \"{name}.aspx\",\n new { controller = \"Page\", action = \"Index\", id = \"\" }\n);\n\n\n\nWouldn't the code above map *.aspx t...
ai2-adapt-dev/numinamath_tir_math_decontaminated_60436
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[ { "role": "user", "content": "Given that $x=3$ is an extremum point of the function $y=a\\ln x+x^{2}-10x$, then the real number $a=$ \\_\\_\\_\\_\\_\\_." }, { "role": "assistant", "content": "To solve for the value of \\(a\\) such that \\(x = 3\\) is an extremum point of the function \\(y = a \\...
personahub_6mh8dald8s7k8mtp0r89vr2d
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[ { "role": "user", "content": "A philanthropy officer is evaluating two initiatives aimed at the development of women's skills in technology and entrepreneurship. Initiative A focuses on technology skills and has shown a growth in participation that can be modeled by the polynomial equation \\( P(t) = t^3 - ...
ai2-adapt-dev/numinamath_tir_math_decontaminated_57859
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[ { "role": "user", "content": "Calculate the indefinite integral:\n\n$$\n\\int(3x + 4)e^{3x} \\, dx\n$$" }, { "role": "assistant", "content": "To solve the indefinite integral \\(\\int (3x + 4)e^{3x} \\, dx\\), we can use integration by parts. The formula for integration by parts is:\n\n$$\n\\int...
personahub_anxbirnzrlhb4qdhv7hd0dcu
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[ { "role": "user", "content": "Write a python function to extract and store all unique words from a list of news headlines about César. Each headline is provided as a string in a list. The function should return a sorted list of unique words in lowercase. Assume that words are separated by spaces, and punctu...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_11797
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[ { "role": "user", "content": "Without using any helper or library methods, create a program that decipher the supplied JSON object, modifies the numeric value of a given key by amalgamating the integer values of 2 additional keys present. Also, create a function to validate the JSON structure before modific...
personahub_vc7ujcjo25gbi2fk1bw60qjn
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[ { "role": "user", "content": "Write a python function to calculate the average number of patients treated per day by a trauma nurse over a given period. The function should take a list of integers as input, where each integer represents the number of patients treated on a particular day. The function should...
ai2-adapt-dev/numinamath_tir_math_decontaminated_57062
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[ { "role": "user", "content": "The sides $PQ$ and $PR$ of triangle $PQR$ are respectively of lengths $4$ inches, and $7$ inches. The median $PM$ is $3\\frac{1}{2}$ inches. Then $QR$, in inches, is:\n$\\textbf{(A) }6\\qquad\\textbf{(B) }7\\qquad\\textbf{(C) }8\\qquad\\textbf{(D) }9\\qquad \\textbf{(E) }10$" ...
personahub_e8kdhronn0rxwxnkbo0zwpnl
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[ { "role": "user", "content": "A skeptical politician is analyzing an epidemiologist's prediction model regarding the spread of a disease. The epidemiologist uses a quadratic equation to model the number of cases, C, in terms of time, t, in weeks: \\(C(t) = at^2 + bt + c\\). The politician argues that the pr...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_4521
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[ { "role": "user", "content": "Craft a pseudocode delineating the operational mechanism of an A* search algorithm, whilst incorporating heuristic estimation of goal proximity and lowest-cost determination within node exploration." }, { "role": "assistant", "content": "The A* search algorithm is a...
personahub_dif9r29sbu8veek30qodsdcj
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[ { "role": "user", "content": "In tribute to their great-grandparents named \"Si,\" whose names mean \"four\" in Chinese, a Chinese-American family decided to create a special garden shaped like a quadratic plot. The garden's length is \"Si\" feet longer than its width. The area of the garden is 60 square fe...
personahub_50crp0am5rx1vb1h1tqk5o51
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[ { "role": "user", "content": "Write a Python function to calculate the average temperature anomaly from a list of temperature anomalies for a given year. The input to the function should be a list of dictionaries, where each dictionary contains two keys: \"year\" (an integer representing the year) and \"ano...
ai2-adapt-dev/numinamath_tir_math_decontaminated_36983
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[ { "role": "user", "content": "Given a cube \\( ABCD-A_{1}B_{1}C_{1}D_{1} \\), find the value of \\( \\cos \\theta \\), where \\( \\theta \\) is the angle between the planes \\( AB_{1}D_{1} \\) and \\( A_{1}BD \\), with \\( 0^{\\circ} \\leq \\theta \\leq 90^{\\circ} \\)." }, { "role": "assistant", ...
personahub_cr94rexwpki1fq5mq9925ycg
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[ { "role": "user", "content": "Write a python function to help me create a unique hashtag for promoting my niece's music on social media. The function should take in a list of words related to her music and a maximum length for the hashtag. The function should return a string that combines the words into a s...
personahub_l0zgvn6c6pijfb3gyk8r0fec
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[ { "role": "user", "content": "As a mother who advocates for regular health check-ups, you have gathered data on the number of check-ups your family attends over the course of a year. You have observed that the total number of check-ups, C, is related to the number of months, m, by the quadratic equation C =...
personahub_i792oj49qirm8a66ml6hobiv
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[ { "role": "user", "content": "Write a python function to calculate the average of a list of numbers, but with a twist: the function should ignore the highest and lowest values in the list when computing the average. If there are multiple instances of the highest or lowest values, only remove one instance of...
personahub_ck5lld09h2cte5wvas4l7pos
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[ { "role": "user", "content": "Write a python function to determine if a given list of integers can be rearranged to form a sequence of consecutive numbers. The function should take a list of integers as input and return a boolean value: `True` if the integers can be rearranged to form a consecutive sequence...
personahub_robj7i8l86fj7rlrgwh1ed6v
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[ { "role": "user", "content": "A statistician is analyzing the results of a survey to determine the relationship between hours of study per week (denoted by \\( x \\)) and the resulting test scores (denoted by \\( y \\)). The data is modeled by the quadratic equation \\( y = ax^2 + bx + c \\), where \\( a \\...
ai2-adapt-dev/numinamath_tir_math_decontaminated_28885
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[ { "role": "user", "content": "Given a $99 \\times 99$ grid where each cell is colored either black or white, you are allowed to recolor all the cells of any column or any row simultaneously to the color that is the majority in that column or row before recoloring. Is it always possible to make all the cells...
personahub_e062f67ezpe1lfm1c7uewxzg
caec9794a6d746d50f53d44cd013b51b115ae6de00b90549a75116c7cdf25845718dcfd004206e46c8bf1317baacceb2dd175e39df4867d227a324de4f88b3fc
[ { "role": "user", "content": "Write a Python function to parse a CSV file that contains Google Ads campaign data and return a list of dictionaries where each dictionary represents a row from the CSV file. The keys of the dictionary should be the column headers, and the values should be the corresponding dat...
ai2-adapt-dev/numinamath_tir_math_decontaminated_55961
321d73cc9b46a9886133ed894918a20acca65ff3f39235e4ebe3f2b83cf1dc0dcb63b785863b70f560e4f91329848dd253d618616a6cc9ebf11ede361dfb83fd
[ { "role": "user", "content": "If it is now 9:04 a.m., what will the time be in 56 hours?\n(A) 9:04 a.m.\n(B) 5:04 p.m.\n(C) 5:04 a.m.\n(D) 1:04 p.m.\n(E) 1:04 a.m." }, { "role": "assistant", "content": "To solve this problem, we need to determine what time it will be 56 hours after 9:04 a.m. Let...
personahub_1e1jcvlxv2ka1rvuwyczmsq3
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[ { "role": "user", "content": "Write a python function to calculate the total number of hours an employee has worked in a week, given their daily work hours as input. The function should accept a list of integers representing the hours worked each day from Monday to Friday. If any value exceeds 8, it should ...
ai2-adapt-dev/numinamath_tir_math_decontaminated_31036
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[ { "role": "user", "content": "Given $a > 0$, if $\\int_{0}^{a} (2x-2) \\, dx = 3$, then $a = \\_\\_\\_\\_\\_\\_$." }, { "role": "assistant", "content": "To solve this problem, we need to evaluate the integral and then solve for \\( a \\) such that the integral equals 3.\n\nSteps to solve the pro...
ai2-adapt-dev/numinamath_tir_math_decontaminated_24142
b727c3970eaa62fe42472c5e5b1c229fbc684a5a7048e67644d32422ea32fd18452b18ecaca82ad3dbd9d3f3415956f78f01cb8b06f4fb155e964ef51f42d0dd
[ { "role": "user", "content": "Given that point $P(x_{0},8)$ is on the parabola $y^{2}=8x$, find the distance from point $P$ to its focus." }, { "role": "assistant", "content": "To solve this problem, we need to follow these steps:\n\n1. **Understand the Parabola and its Focus:**\n The equation...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_6437
e0327811971a649315991896e1a0e2f124f5d8c6ac4dc9aec2d0d5108c1626cf746bc2cf8c971a6e46e784f7ad7d93bf966a2ba44998aa6c70a4fef3752675f2
[ { "role": "user", "content": "Design a schema for a regular expression with the objective of scrutinising a certain conglomerate of characters to determine if it terminates with the distinct concatenation of the letters \"py\", along with furthering our query by understanding its frequency and positional di...
ai2-adapt-dev/numinamath_tir_math_decontaminated_59300
b05c947fb465c8a29083e89cfff2c31ee67d024d8ad9b7d05c26104e5154c393e8a59ee3d5a9d2baf87fea90edd2d1ae67e52d6561029bba6d6ee552c23da5fb
[ { "role": "user", "content": "What is the remainder when $1^{1} + 2^{2} + 3^{3} + \\ldots + 8^{8} + 9^{9}$ is divided by 2?" }, { "role": "assistant", "content": "To solve the problem, we need to compute the sum \\(1^1 + 2^2 + 3^3 + \\ldots + 8^8 + 9^9\\) and find its remainder when divided by 2...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_11233
3cdb5207ef717d77f03bdd65a19a8978d039f0533ff8fb0fcd81308ab956e1ed77f04181d3c952fdd7d1e91619d2b02252fb0d163a42a1ea4da273751e606044
[ { "role": "user", "content": "Evaluate and transmogrify the temporal point of 5:30pm in the United Kingdom's local time structure into its corresponding chronometric position within the UTC+7 timescale." }, { "role": "assistant", "content": "The United Kingdom operates on Greenwich Mean Time (GM...
personahub_464xvpcoz2qrjz6emgc7o1k0
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[ { "role": "user", "content": "Write a python function to calculate the Gini coefficient given a list of income values. The Gini coefficient is a measure of statistical dispersion intended to represent the income inequality within a nation or a group. The function should take a list of integers or floats whe...
personahub_hw3qzq9tg7szhvefearr05u6
eec6649281dce65e73816c7005617818d84830873f0a09873d9f917cb34a703044dc85df7b46d18ae82c669295bc2d9245cbacf483ac1f8f48725b0cba24bfb7
[ { "role": "user", "content": "Write a python function to simulate a simplified version of how transaction fees are calculated using blockchain technology for banking transactions. Each transaction has a base fee, and an additional fee based on the transaction amount. \n\nThe function should take a list of d...
ai2-adapt-dev/numinamath_tir_math_decontaminated_55141
7a2993bde47189649eb13f424129e554df9ff1a3f9fa64bb18c462d3869dc2907307736be2133bb4b020630c71bfeb6a6c99494fd19b2482fb998a366381a4ec
[ { "role": "user", "content": "For real numbers $x$ and $y$, define $x\\spadesuit y = (x + y)(x - y)$. What is $3\\spadesuit(4\\spadesuit 5)$?\n$\\text {(A) } - 72 \\qquad \\text {(B) } - 27 \\qquad \\text {(C) } - 24 \\qquad \\text {(D) } 24 \\qquad \\text {(E) } 72$" }, { "role": "assistant", ...
ai2-adapt-dev/numinamath_tir_math_decontaminated_19119
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[ { "role": "user", "content": "Two springs with stiffnesses of 3 kN/m and 6 kN/m are connected in series. How much work is required to stretch this system by 5 cm?" }, { "role": "assistant", "content": "To solve this problem, we need to follow these steps:\n\n1. **Understand the system:**\n The...
personahub_22s0z3f1d0fypvaaodv3m7uy
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[ { "role": "user", "content": "Write a python function to help me analyze data from my film project collection. I want to create a function that takes a list of tuples as input, where each tuple contains the following information: (film_title, director, year_of_release, genre). The function should return a d...
personahub_w4hwg72t079sys7shgqfw9st
547f04712f329900bbabf15940a2ab771b4c04dadf50acebd9b6b2cef3f9bfa13d5459e702b37541b2118eddff0e0d76496a76541d50b5e376ebd41a195a8fb2
[ { "role": "user", "content": "Write a python function to help me analyze student grades. As an EFL teacher in Turkey, I keep track of my students' scores in a dictionary format where the keys are student names and the values are lists of their exam scores. I want to write a function that calculates the aver...
personahub_b7hns0r639eifjwce4fa2zkb
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[ { "role": "user", "content": "Write a python function to filter a list of sportswear product dictionaries based on a given brand name. Each product is represented as a dictionary with keys such as \"name\", \"brand\", \"category\", and \"price\". The function should take two inputs: a list of products and a...
ai2-adapt-dev/numinamath_tir_math_decontaminated_28657
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[ { "role": "user", "content": "In a certain region, it rains on a quarter of all days. Furthermore, it is noted that if it rained on a given day, then in two out of three cases it will also rain the next day. What is the probability that the weather will be good on a given day, if there was no rain the day b...
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[ { "role": "user", "content": "As a veteran rugby league player from the 90s turned coach, you are designing a training schedule for your team. You want to balance the number of practice hours with the team's performance in a quadratic model. The team's performance score, P, is modeled by the quadratic equat...
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[ { "role": "user", "content": "Write a python function to help me calculate the total cost of ingredients for a dish. I have a list of ingredients, each with its price per unit and the amount needed for a recipe. The function should take a list of tuples as input, where each tuple contains the ingredient nam...
ai2-adapt-dev/numinamath_tir_math_decontaminated_21849
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[ { "role": "user", "content": "A bag of grapes is to be distributed evenly to 5 kids in a class, and the grapes that are left over will be thrown out. If each student receives the greatest possible number of grapes, what is the greatest possible number of grapes that could be thrown out?" }, { "role"...
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[ { "role": "user", "content": "Write a python function to calculate the redshift of a galaxy given its observed wavelength and the rest wavelength of a particular spectral line. \n\nThe redshift \\( z \\) can be calculated using the formula:\n\n\\[ z = \\frac{\\lambda_{\\text{observed}} - \\lambda_{\\text{re...
ai2-adapt-dev/numinamath_tir_math_decontaminated_28672
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[ { "role": "user", "content": "How many four-digit numbers $N = \\underline{a}\\,\\underline{b}\\,\\underline{c}\\,\\underline{d}$ satisfy all of the following conditions?\n\n$4000 \\le N < 6000.$\n$N$ is a multiple of $5.$\n$3 \\le b < c \\le 6.$" }, { "role": "assistant", "content": "We are tas...
ai2-adapt-dev/numinamath_tir_math_decontaminated_35331
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[ { "role": "user", "content": "Simplify first, then evaluate: $\\left(2x+3\\right)\\left(2x-3\\right)-\\left(x+2\\right)^{2}+4\\left(x+3\\right)$, where $x=\\sqrt{7}$." }, { "role": "assistant", "content": "To solve the given problem, we need to follow these steps:\n\n1. Simplify the expression \...
ai2-adapt-dev/numinamath_tir_math_decontaminated_62092
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[ { "role": "user", "content": "What is the result if you add the largest odd two-digit number to the smallest even three-digit number?" }, { "role": "assistant", "content": "To solve this problem:\n\n1. Identify the largest odd two-digit number.\n2. Identify the smallest even three-digit number.\...
personahub_e33qegcf8mkgrp3jlb10vh28
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[ { "role": "user", "content": "Write a python function to help me generate a visually inspiring pattern from a simple melody. I have a list of musical notes represented as strings (e.g., [\"C\", \"E\", \"G\", \"C\", \"A\"]) and I want to convert this into a pattern that alternates between the notes and their...
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[ { "role": "user", "content": "An enthusiastic beginner quilter, Emily, is planning to create a quilt made up of small square patches. She wants the quilt to be rectangular with a length that is 3 feet longer than its width. Emily has enough fabric to cover an area of 60 square feet.\n\n1. Represent the widt...
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[ { "role": "user", "content": "Write a python function to calculate the total cost of items purchased at Love's Travel Stops & Country Store. The function should take a list of tuples as input, where each tuple contains the name of the item (a string), the quantity purchased (an integer), and the price per i...
ai2-adapt-dev/numinamath_tir_math_decontaminated_61607
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[ { "role": "user", "content": "Vinny wrote down all the single-digit base-$b$ numbers and added them in base $b$, getting $34_b$.\n\nWhat is $b$?" }, { "role": "assistant", "content": "To solve this problem, let's break it down into manageable parts:\n\n1. **Understanding the number system:**\n ...
ai2-adapt-dev/numinamath_tir_math_decontaminated_46179
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[ { "role": "user", "content": "The hundreds digit of a three-digit number is $2$ more than the units digit. The digits of the three-digit number are reversed, and the result is subtracted from the original three-digit number. What is the units digit of the result?\n$\\textbf{(A)}\\ 0 \\qquad\\textbf{(B)}\\ 2...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_8756
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[ { "role": "user", "content": "What was the result when incumbent Tom Steed was elected?\ntable name: table_1342198_36\n| | District | Incumbent | Party | First elected | Result | Candidates |\n|---:|:-----...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_7383
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[ { "role": "user", "content": "Elaborate a segregating schema to classify these provided CSS properties into three distinct clusters: {margin}, {padding}, {border}, {background}, {font-size}, {font-family}. Make sure to justify the logic behind your categorization." }, { "role": "assistant", "con...
personahub_pxbi39vtr40x5mc5g2xdmfoa
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[ { "role": "user", "content": "Write a python function to process a list of historical events that took place in Liverpool. Each event is represented as a dictionary with keys `'year'`, `'event'`, and `'location'`. The function should take this list as input and return a new list of events that only occurred...
personahub_m37vu9bp9205hxnkvhrn6ndu
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[ { "role": "user", "content": "Write a python function to help me organize a list of potential names for a local football team. I have a list of candidate names, but I want to filter out any names that contain certain banned words (e.g., \"bad\", \"ugly\"). The function should take two inputs: a list of team...
ai2-adapt-dev/numinamath_tir_math_decontaminated_44418
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[ { "role": "user", "content": "Simplify first, then evaluate: $\\left(a-b\\right)^{2}-2a\\left(a+b\\right)+\\left(a+2b\\right)\\left(a-2b\\right)$, where $a=-1$, $b=4$." }, { "role": "assistant", "content": "To solve the given problem, we'll follow these steps:\n\n1. **Simplify the Expression:**\...
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[ { "role": "user", "content": "Write a python function to determine if a given DNA sequence contains a specific subsequence. The function should take two arguments: a string `dna_sequence` representing the DNA sequence and a string `subsequence` representing the subsequence to search for. The function should...
personahub_odcv0j0ejyhe4b59h8485h4s
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[ { "role": "user", "content": "Write a python function to calculate the total sales of a store from a list of daily sales figures, and then determine the average daily sales. The function should take in a list of integers or floats, where each number represents the sales amount for a day. The function should...
personahub_8goixvcraqfm199nj10ks96q
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[ { "role": "user", "content": "Write a python function to help me manage the intricate details of a theater performance by processing a list of actors' costume details. Each costume is represented as a dictionary with keys such as 'actor', 'role', 'costume_color', and 'number_of_buttons'. The function should...
ai2-adapt-dev/numinamath_tir_math_decontaminated_42687
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[ { "role": "user", "content": "Two cars, A and B, start simultaneously from cities A and B, respectively, which are 360 kilometers apart, and head towards each other. It is known that car A takes 6 hours to travel from city A to city B, and car B takes 12 hours to travel from city B to city A. How many hours...
ai2-adapt-dev/numinamath_tir_math_decontaminated_14696
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[ { "role": "user", "content": "Move the point representing the number $3$ on the number line $4$ units to the right, the corresponding number is ______." }, { "role": "assistant", "content": "To solve this problem, we need to move the point representing the number \\(3\\) on the number line \\(4\...
ai2-adapt-dev/numinamath_tir_math_decontaminated_56016
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[ { "role": "user", "content": "In the Cartesian coordinate plane $(xOy)$, a circle $C_{1}$ is defined by the equation $x^{2}+y^{2}-4x-8y+19=0$. This circle is symmetric with respect to the line $l$ defined by the equation $x+2y-a=0$. Determine the value of the real number $a$." }, { "role": "assistan...
ai2-adapt-dev/numinamath_tir_math_decontaminated_60733
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[ { "role": "user", "content": "Let \\[p(x,y) =\n\\begin{cases} x + y &\\quad \\text{if } x \\ge 0 \\text{ and } y \\ge 0, \\\\\nx - 2y &\\quad \\text{if } x < 0 \\text{ and } y < 0, \\\\\n3x + y &\\quad \\text{otherwise}.\n\\end{cases}\n\\]What is $p(p(1,-1),p(-5,-2))$?" }, { "role": "assistant", ...
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[ { "role": "user", "content": "A licensed therapist is planning her week's schedule, which includes both individual therapy sessions and group therapy sessions. She has observed that conducting psychotherapy in individual sessions is more intensive and beneficial, and she would like to maintain a healthy bal...
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[ { "role": "user", "content": "Write a python function to calculate the average score from a list of golf scores, but with a twist inspired by my idol Chiara Noja's amazing performances. The function should ignore the highest and lowest score in the list, and then compute the average of the remaining scores....
ai2-adapt-dev/numinamath_tir_math_decontaminated_26025
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[ { "role": "user", "content": "For which positive integers \\( n \\) do there exist functions \\( f \\) and \\( g \\) from \\( \\{1,2, \\ldots, n\\} \\) to \\( \\{1,2, \\ldots, n\\} \\) such that for each \\( 1 \\leq i \\leq n \\), either \\( f(g(i))=i \\) or \\( g(f(i))=i \\), but not both?" }, { "r...
ai2-adapt-dev/numinamath_tir_math_decontaminated_50494
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[ { "role": "user", "content": "Let $f$ be a non-constant polynomial such that\n\\[f(x - 1) + f(x) + f(x + 1) = \\frac{[f(x)]^2}{2013x}\\]for all nonzero real numbers $x.$ Find the sum of all possible values of $f(1).$" }, { "role": "assistant", "content": "To solve the problem \\(f(x - 1) + f(x)...
personahub_326aqq0jau42adg3o3n1poq8
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[ { "role": "user", "content": "Write a python function to calculate the total time spent in a Disney park, given a list of times spent on various attractions. Each element in the list represents the time in minutes spent on a single attraction. The function should return the total time spent in hours and min...
personahub_jvrcqfidh5lfzjy7dvgfyh2l
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[ { "role": "user", "content": "Write a python function to help me analyze the growth patterns of native plants in my garden in Washington State. I have a list that contains the heights of a particular plant species measured in centimeters over several weeks. I would like to determine the weeks during which t...
personahub_u7vsqhto4c859j0k6iva2wh5
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[ { "role": "user", "content": "Write a python function to determine the number of unique time periods visited by the Legends of Tomorrow. Assume you have a list of strings where each string represents a time period in the format \"YYYY-MM-DD\". Sometimes, the Legends might visit the same time period more tha...
personahub_g2fakb1ujo0r3q1rmdchz18u
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[ { "role": "user", "content": "As an Olympic gold medalist in martial arts, you understand the importance of balance and precision. You decide to create a training regimen that incorporates these principles through mathematical expressions.\n\n1. You plan to create a sequence of moves where the number of mov...
personahub_fd1c4eut3dn9oe3gkmvc9yes
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[ { "role": "user", "content": "Write a python function to help me organize my childbirth stories by the decade in which they occurred. I have a list of tuples, where each tuple contains a story and the year it happened. The input list looks like this: `[(\"Story A\", 1983), (\"Story B\", 1975), (\"Story C\",...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_4212
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[ { "role": "user", "content": "Design and implement an object-oriented software model to depict the complex dimensions of a rare manuscript housed within a specialist archives system. The model should also account for the manuscript's interpretation and annotation by multiple scholars over time, reflecting c...
ai2-adapt-dev/numinamath_tir_math_decontaminated_18086
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[ { "role": "user", "content": "Arrange the numbers 1 to 8 in a row, requiring that each pair of adjacent numbers be coprime. There can be $\\boxed{1728}$ ways to arrange them." }, { "role": "assistant", "content": "To determine the number of ways to arrange the numbers 1 to 8 in a row such that e...
ai2-adapt-dev/numinamath_tir_math_decontaminated_31934
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[ { "role": "user", "content": "Santa Claus distributes 53 candies into three bags ensuring that each bag has a different number of candies and that any two bags together have more candies than the third one. How many ways can he do this?" }, { "role": "assistant", "content": "To solve this proble...
personahub_o6em84gyp9p2ujst27rduaf1
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[ { "role": "user", "content": "Write a python function to help integrate data from a software engineer's platform into our property management system. The function should take two inputs:\n\n1. A list of dictionaries, where each dictionary represents a property with the keys 'id', 'address', and 'price'.\n2....
personahub_ibay5srlrzs0vz6w2fzdof5y
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[ { "role": "user", "content": "Write a python function to filter a list of football player names based on their potential rating. The function should take in two parameters: a list of tuples and a threshold integer. Each tuple in the list contains a player's name as a string and their potential rating as an ...
ai2-adapt-dev/numinamath_tir_math_decontaminated_60561
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[ { "role": "user", "content": "Given five differently colored balls, we are to select four of them and place them into three distinct boxes in such a way that no box remains empty. The total number of different ways to accomplish this task is ______." }, { "role": "assistant", "content": "To solv...
personahub_c5bug1bxrxf8hu3ms7zc3lw5
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[ { "role": "user", "content": "As a senior officer of the Bundeswehr, you are tasked with organizing the logistics for a large-scale training exercise. The number of personnel involved is represented by the quadratic expression \\( P(x) = 2x^2 + 5x - 3 \\), where \\( x \\) represents the number of units part...
ai2-adapt-dev/numinamath_tir_math_decontaminated_61980
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[ { "role": "user", "content": "Find the number of four-digit numbers without repeated digits that can be formed using the digits 1, 2, 3, and 4, where exactly one even digit is sandwiched between two odd digits." }, { "role": "assistant", "content": "To solve this problem, we need to consider the...
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[ { "role": "user", "content": "A legal scholar is analyzing a piece of art that is said to depict the evolution of a legal framework over time. The artwork consists of a large canvas divided into sections, each representing a historical period. The total area of the canvas is 300 square feet, and it is shape...
personahub_7appb0kpi4fl3gdep94f8ydw
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[ { "role": "user", "content": "As a young Virgin Islander passionate about tech, you are developing a mobile app that predicts future trends based on current data. To optimize the app's performance, you are modeling the number of active users \\( U(t) \\) (in thousands) as a function of time \\( t \\) (in mo...
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[ { "role": "user", "content": "As a community development officer in Polokwane, you are tasked with organizing a series of workshops to improve local skills. You plan to host these workshops at Kabelo Secondary School. The school hall can accommodate a certain number of participants, and you are expecting mo...
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[ { "role": "user", "content": "Write a python function to filter and sort a list of K-pop groups based on their debut year. The input to the function should be a list of dictionaries, where each dictionary contains two keys: 'name' (a string representing the group's name) and 'debut_year' (an integer represe...
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[ { "role": "user", "content": "Write a python function to calculate the average time it takes for a sequence of football plays to be executed, keeping in mind the rhythm and timing of each play. The function should accept a list of tuples as input, where each tuple represents a play and contains two elements...
ai2-adapt-dev/numinamath_tir_math_decontaminated_18557
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[ { "role": "user", "content": "Given that $\\overrightarrow{a}$ and $\\overrightarrow{b}$ are two non-collinear unit vectors, and $k$ is a real number. If $\\overrightarrow{a}+ \\overrightarrow{b}$ is perpendicular to $k \\overrightarrow{a}- \\overrightarrow{b}$, then $k=$ ______." }, { "role": "assi...
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[ { "role": "user", "content": "A business partner at a traditional publishing company is working on predicting the sales of print media over the next few years. The company has observed that their annual sales, in millions of dollars, can be modeled by the quadratic equation \\( S(t) = -2t^2 + 12t + 50 \\), ...
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[ { "role": "user", "content": "Write a python function to count the number of words in a given string of text. The function should take a single string as input and return an integer representing the total number of words. Words are defined as sequences of characters separated by spaces. For simplicity, you ...
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[ { "role": "user", "content": "A community member is volunteering their time to participate in a research study that involves collecting data on the number of hours per week they spend on various activities. The activities include volunteering, exercising, and leisure. The study aims to analyze how these act...
ai2-adapt-dev/numinamath_tir_math_decontaminated_59845
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[ { "role": "user", "content": "An 8-row by $n$-column array formation, when arranged into several 15-row by 15-column squares, has 3 people remaining, with one person holding the flag and two people guarding the flag. Find the minimum value of $n$." }, { "role": "assistant", "content": "To solve ...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_4012
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[ { "role": "user", "content": "I was surprised recently to find that it's possible to have a return statement in a finally block in Java.\n\nIt seems like lots of people think it's a bad thing to do as described in '[Don't return in a finally clause](https://web.archive.org/web/20070922061412/http://weblogs....
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[ { "role": "user", "content": "Write a python function to help me manage my study schedule, taking into account the need for regular eye exercises due to my recent blurry vision. The function should take a list of study sessions as input, where each session is a tuple containing the subject and the duration ...
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[ { "role": "user", "content": "Write a python function to decode a secret message encoded in a string using a simple substitution cipher. The input will be two strings: `key` and `cipher_text`. The `key` will be a permutation of the 26 lowercase alphabet characters, representing the substitution for each let...
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[ { "role": "user", "content": "Write a python function to identify potentially illegal art shipments based on a given list of shipments. Each shipment is represented as a dictionary containing details such as 'origin', 'destination', 'value', and 'declared'. The function should return a list of shipments tha...