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[ { "content": "Write Python code to solve the task:\nPermutation p is an ordered set of integers p1, p2, ..., pn, consisting of n distinct positive integers, each of them doesn't exceed n. We'll denote the i-th element of permutation p as pi. We'll call number n the size or the length of permutation p1, p2, ...,...
[ { "content": "Write Python code to solve the task:\nAlice and Bob created $N$ and $M$ recipes, respectively ($N, M \\ge 1$), and submitted them to Chef for evaluation. Each recipe is represented by a string containing only lowercase English letters. Let's denote Alice's recipes by $A_1, A_2, \\ldots, A_N$ and B...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nA direct flight on delta air lines from Atlanta to Paris is 4000 miles and takes approximately 8 hours going East and 10 hours going West. Although the plan...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nHow many positive integers $N$ less than $1000$ are there such that the equation $x^{\\lfloor x\\rfloor} = N$ has a solution for $x$? (The notation $\\lfloo...
[ { "content": "Write Python code to solve the task:\nN Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.\n\nThere are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \\cdots, A_{i, {d_i}}.\n\nTakahashi will wa...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nthe malibu country club needs to drain its ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nWalmart sells a multitool with a screwdrive...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\na certain country had a total annual expenditure of $ 1.2 x 10 ^ 12 . if the population of the country was 240 million last year , what was the per capita e...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nJason has 18 books, and he has read 9 of them . Mary has 42 books. Together , they have _____ books .", "role": "user" }, { "content": "Let's so...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFind the minimum value of $\\sin^4 x + \\cos^4 x.$", "role": "user" }, { "content": "We have that \\begin{align*}\n\\sin^4 x + \\cos^4 x &= (\\s...
[ { "content": "Write Python code to solve the task:\nYou are given an array a_1, a_2, ... , a_n, which is sorted in non-decreasing order (a_i ≤ a_{i + 1}). \n\nFind three indices i, j, k such that 1 ≤ i < j < k ≤ n and it is impossible to construct a non-degenerate triangle (a triangle with nonzero area) having ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nif a ( a - 9 ) = 10 and b ( b - 9 ) = 10 , ...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nTim used to run 3 times a week but decided to add an extra 2 days a week. She runs 1 hour in the morning and 1 in the evening every day she runs. How many...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nThe polynomial $f(x)$ satisfies $f(x + 1) -...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nPurple Valley has one-quarter as many skirts as Seafoam Valley, and Seafoam Valley has two-thirds as many skirts as Azure Valley. If Azure Valley has 60 ski...
[ { "content": "Write Python code to solve the task:\nThe Berland road network consists of n cities and of m bidirectional roads. The cities are numbered from 1 to n, where the main capital city has number n, and the culture capital — number 1. The road network is set up so that it is possible to reach any city f...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\n23 people attend a party. Each person shake...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\napproximately how many revolutions will be ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nGiven the following table:\nTable title: Ve...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nLori owns a carsharing company. There are t...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nthe present worth of rs . 1404 due in two equal half - yearly installments at 8 % per annum simple interest is :", "role": "user" }, { "content"...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nWinnie has 45 cherry lollipops, 116 winterg...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nWhat is $\\frac{0.\\overline{72}}{0.\\overline{27}}$? Express your answer as a common fraction in lowest terms.", "role": "user" }, { "content":...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nwhat is the difference between the c . i . ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nMadison makes 30 paper boats and sets them ...
[ { "content": "Write Python code to solve the task:\n# Task\n\nWrite a function that accepts `msg` string and returns local tops of string from the highest to the lowest. \nThe string's tops are from displaying the string in the below way:\n\n```\n\n 7891012\n ...
[ { "content": "Write Python code to solve the task:\nYou are given integers N and K. Find the number of triples (a,b,c) of positive integers not greater than N such that a+b,b+c and c+a are all multiples of K. The order of a,b,c does matter, and some of them can be the same.\n\nConstraints\n\n* 1 \\leq N,K \\leq...
[ { "content": "Write Python code to solve the task:\nWrite a program which prints $n$-th fibonacci number for a given integer $n$. The $n$-th fibonacci number is defined by the following recursive formula:\n\n\\begin{equation*} fib(n)= \\left \\\\{ \\begin{array}{ll} 1 & (n = 0) \\\\\\ 1 & (n = 1) \\\\\\ fib(n -...
[ { "content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nWe ought to pay attention only to the intrinsic properties of a work of art. Its other, extrinsic properties are irrelevant to our aesthetic interactio...
[ { "content": "Write Python code to solve the task:\nView Russian Translation\n\nLimak is a little polar bear.\nToday he found something delicious in the snow.\nIt's a square bar of chocolate with N x N pieces.\nSome pieces are special because there are cherries on them.\nYou might be surprised by cherries on a ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nCody goes to the store and buys $40 worth o...
[ { "content": "Write Python code to solve the task:\nWe have a sequence p = {p_1,\\ p_2,\\ ...,\\ p_N} which is a permutation of {1,\\ 2,\\ ...,\\ N}.\n\nYou can perform the following operation at most once: choose integers i and j (1 \\leq i < j \\leq N), and swap p_i and p_j. Note that you can also choose not ...
[ { "content": "Write Python code to solve the task:\nThere are N towns located in a line, conveniently numbered 1 through N. Takahashi the merchant is going on a travel from town 1 to town N, buying and selling apples.\n\nTakahashi will begin the travel at town 1, with no apple in his possession. The actions tha...
[ { "content": "Write Python code to solve the task:\nBob watches TV every day. He always sets the volume of his TV to b. However, today he is angry to find out someone has changed the volume to a. Of course, Bob has a remote control that can change the volume.\n\nThere are six buttons (-5, -2, -1, +1, +2, +5) on...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nIf three, standard, 6-faced dice are rolled...
[ { "content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nThe Blackridge Company, a software retailer, recently implemented a service offering free telephone support for its customers. After 3 months of servic...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nFind the number of positive integers $n \\l...
[ { "content": "Write Python code to solve the task:\nTakahashi is distributing N balls to K persons.\n\nIf each person has to receive at least one ball, what is the maximum possible difference in the number of balls received between the person with the most balls and the person with the fewest balls?\n\nConstrai...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFind all real numbers $x$ such that\n\\[\\frac{8^x + 27^x}{12^x + 18^x} = \\frac{7}{6}.\\]Enter all the solutions, separated by commas.", "role": "user"...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nA library has a number of books. x% of them...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFor a fundraiser, Nellie needs to sell 45 rolls of gift wrap. So far, she has sold 1 roll to her grandmother, 10 rolls to her uncle, and 6 rolls to a neighb...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nGiven that\n$\\frac 1{2!17!}+\\frac 1{3!16!...
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