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[ { "content": "Can you provide examples of anthropomorphism in literature and media that are not widely known? How does the use of anthropomorphism impact the portrayal of characters and themes in these examples?\nAdditionally, can you provide a MATLAB code that can be used to analyze the frequency and distribut...
WizardLM_evol_instruct_V2_196k
359,072
[ { "content": "One-half of one-seventh of $T$ equals one-third of one-fifth of 90. What is the value of $T$?", "role": "user" }, { "content": "Let's start by solving the right side of the equation first. \n\nThe expression \"one-third of one-fifth of 90\" translates to $\\frac{1}{3} \\cdot \\frac{1}{...
pxyyy/dart-math-uniform
2,420,423
[ { "content": "Wendi lives on a plot of land that is 200 feet by 900 feet of grassland. She raises rabbits on her property by allowing the rabbits to graze on the grass that grows on her land. If one rabbit can eat enough grass to clear ten square yards of lawn area per day, and Wendi owns 100 rabbits, how man...
MathInstruct
1,158,447
[ { "content": "In triangle $ABC$, $AB = 5$, $BC = 4$, and $CA = 3$.\n\n[asy]\ndefaultpen(1);\n\npair C=(0,0), A = (0,3), B = (4,0);\ndraw(A--B--C--cycle);\n\nlabel(\"\\(A\\)\",A,N);\nlabel(\"\\(B\\)\",B,E);\nlabel(\"\\(C\\)\",C,SW);\n[/asy]\n\nPoint $P$ is randomly selected inside triangle $ABC$. What is the pr...
pxyyy/dart-math-uniform
2,247,360
[ { "content": "What is the smallest digit that is never found in the units place of an even number?", "role": "user" }, { "content": "An even number is defined as any integer that can be exactly divided by 2. This means that an even number must end in 0, 2, 4, 6, or 8. These are the only digits that ...
pxyyy/dart-math-uniform
2,355,265
[ { "content": "Construct an array in JavaScript containing eight elements including strings, numbers, and a function. Also, provide a piece of erroneous code as a reference to identify potential issues.", "role": "user" }, { "content": "Here's how you could construct an array in JavaScript containing...
Magicoder-Evol-Instruct-110K
532,359
[ { "content": "Maddie watches 8 episodes of a TV show this week. Each episode is about 44 minutes long. If she watches 138 minutes of the show on Monday. She does not watch any TV on Tuesday and Wednesday. On Thursday, she watches 21 minutes. On Friday, she watches 2 episodes. How many more minutes did she watch...
pxyyy/dart-math-uniform
2,490,222
[ { "content": "Can you identify the upper bound on the quantity of elements that can be accommodated within a one-dimensional array data structure in the programming language known as Java, and explain the factors that determine this limitation?", "role": "user" }, { "content": "In Java, the maximum ...
Magicoder-Evol-Instruct-110K
382,680
[ { "content": "Fred has 38 red marbles, half as many green ones, and the rest are dark blue. If he has 63 marbles, how many of them are dark blue?", "role": "user" }, { "content": "If Fred has 38 red marbles, and the number of green marbles is half as many as the red ones, then he has 38/2 = 19 green...
pxyyy/dart-math-uniform
2,591,291
[ { "content": "Write Python code to solve the task.\nLeha is playing a very interesting game. The game will be played on a rectangular grid consisting of N rows and M columns. Initially all the cells of the grid are uncolored. \nLeha's initial score is zero. At each turn, he chooses some cell that is yet not col...
UltraInteract_sft
117,135
[ { "content": "Jan is making candy necklaces for herself and a few friends. Everyone receives a candy necklace each and each candy necklace is made up of 10 pieces of candies. The pieces of candies come from blocks of candy, which each produce 30 pieces of candy. If Jan breaks down 3 blocks of candy and every si...
pxyyy/NuminaMath-CoT
2,135,221
[ { "content": "Given a convex quadrilateral \\(ABCD\\) in the plane with interior points \\(E\\) and \\(F\\), satisfying the following conditions: \\(AE = BE\\), \\(CE = DE\\), \\(\\angle AEB = \\angle CED\\); \\(AF = DF\\), \\(BF = CF\\), \\(\\angle AFD = \\angle BFC\\). Prove that \\(\\angle AFD + \\angle AEB ...
pxyyy/NuminaMath-CoT
1,950,063
[ { "content": "example of solid principle dependency inversion", "role": "user" }, { "content": "The Dependency Inversion Principle (DIP) is one of the SOLID principles of object-oriented design. It states that high-level modules should not depend on low-level modules. Instead, both should depend on ...
ShareGPT_V3_unfiltered_cleaned_split_no_imsorry
629,308
[ { "content": "Susan walked to the market to buy five dozen peaches. To carry them home, she brought two identically-sized cloth bags and a much smaller knapsack. Into the knapsack she placed half as many peaches as she placed in each of the two cloth bags. How many peaches did she put in the knapsack?", "...
pxyyy/dart-math-uniform
2,698,208
[ { "content": "Write Python code to solve the task.\n# Task\n Mr.Odd is my friend. Some of his common dialogues are “Am I looking odd?” , “It’s looking very odd” etc. Actually “odd” is his favorite word.\n\n In this valentine when he went to meet his girlfriend. But he forgot to take gift. Because of this he tol...
UltraInteract_sft
601,005
[ { "content": "It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 160 pages?\nAnswer Choices: (A) 12 (B) 18 (C) 48 (D) 20 (E) 30", "role": "user" }, { "content": "If it t...
MathInstruct
1,205,079
[ { "content": "The equation $\\sin^2 x + \\sin^2 2x + \\sin^2 3x + \\sin^2 4x = 2$ can be reduced to the equivalent equation\n\\[\\cos ax \\cos bx \\cos cx = 0,\\]for some positive integers $a,$ $b,$ and $c.$ Find $a + b + c.$", "role": "user" }, { "content": "The double-angle and triple-angle formu...
pxyyy/dart-math-uniform
2,443,191
[ { "content": "In a kilometer race, A beats B by some meters or 8 seconds. A takes 192 seconds to complete the race. By how many meters does A beat B?", "role": "user" }, { "content": "To find out by how many meters A beats B, we need to determine the speed of A and then use that to calculate the dis...
orca-math-word-problems-200k
65,143
[ { "content": "A ball is thrown straight upward with an initial velocity of 30 m/s. Using calculus, find the maximum height it reaches and the time it takes to reach that height. Assume that the acceleration due to gravity, g, is -9.8 m/s^2.", "role": "user" }, { "content": "To solve this problem, we...
MathInstruct
227,233
[ { "content": "Write Python code to solve the task.\nYou are given the strings a and b, consisting of lowercase Latin letters. You can do any number of the following operations in any order: \n\n * if |a| > 0 (the length of the string a is greater than zero), delete the first character of the string a, that is,...
UltraInteract_sft
239,632
[ { "content": "A 1200 m long train crosses a tree in 120 sec. How much time will it take to pass a platform 1000 m long?", "role": "user" }, { "content": "To calculate the time it will take for the train to pass a platform 1000 m long, we first need to determine the speed of the train.\n\nThe train c...
orca-math-word-problems-200k
349,795
[ { "content": "Identify 10 unique characteristics of hummingbirds that distinguish them from other birds in terms of physical appearance, behavior, diet, migration patterns, and habitats. Also, compare and contrast the different species of hummingbirds, including their geographical distributions and evolutionary...
WizardLM_evol_instruct_V2_196k
419,805
[ { "content": "A class of 12 students was about to share 108 oranges equally among themselves when it was discovered that 36 of the oranges were bad and had to be thrown away. How many oranges less will each student get now than if no orange had to be thrown away?", "role": "user" }, { "content": "Or...
pxyyy/dart-math-uniform
2,514,901
[ { "content": "Write Python code to solve the task.\nCreate a function that finds the [integral](https://en.wikipedia.org/wiki/Integral) of the expression passed.\n\nIn order to find the integral all you need to do is add one to the `exponent` (the second argument), and divide the `coefficient` (the first argume...
UltraInteract_sft
864,834
[ { "content": "On her vacation last summer, Trisha walked all over New York City to buy souvenirs. First, she walked 0.11 mile from her hotel to a postcard shop. Then she doubled back on her route and walked 0.11 mile from the postcard shop back to the hotel. After resting, she walked 1.52 miles from the hotel t...
orca-math-word-problems-200k
1,124,971
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nDefine $n!!$ to be $n(n-2)(n-4)\\cdots 3\\cdot 1$ for $n$ odd and $n(n-2)(n-4)\\cdots 4\\cdot 2$ for $n$ even. When $\\sum_{i=1}^{2009} \\frac{(2i-1)!!}{(2i...
UltraInteract_sft
726,961
[ { "content": "6 kids in Carolyn's daycare prefer peas, 9 prefer carrots, and 5 prefer corn. What percentage of the children prefer corn?", "role": "user" }, { "content": "First, let's find the total number of kids in Carolyn's daycare. We add up the number of kids who prefer peas, carrots, and corn....
pxyyy/dart-math-uniform
2,501,366
[ { "content": "Create a short story where the main character learns the importance of self-discipline. End it with a moral.", "role": "user" }, { "content": "Once upon a time in a small village, there was a young boy named Tim who loved to play video games all day. One summer, Tim's parents decided t...
GPTeacher-General-Instruct
633,037
[ { "content": "The number of first-year female students at Hyunjin's school is 3/5 of the number of first-year male students. If there are 240 first-year students, how many first-year male students are there?", "role": "user" }, { "content": "Let's denote the number of first-year male students as M a...
orca-math-word-problems-200k
599,776
[ { "content": "Suppose $g(x) = f(\\frac{x}{4})$ where $f(x)$ is a function with the property that $f(x) = f(x-24)$ for all $x$. Determine the smallest positive $b$ such that if the graph of $y=g(x)$ is shifted $b$ units to the right, then the resulting graph is identical to the original graph of $y=g(x)$.", ...
pxyyy/NuminaMath-CoT
2,075,622
[ { "content": "Rewrite the following paragraph to make it more concise without losing the main ideas.\nThe quick brown fox jumps over the lazy dog, a phrase that is widely known because it uses every letter of the alphabet at least once. This kind of sentence is known as a pangram, which is a term for a sentence...
GPTeacher-General-Instruct
66,961
[ { "content": "A right circular cone with height 10 cm and base radius 3 cm is cut by a plane perpendicular to its axis at a height of 6 cm to form a frustum. Find the volume of the frustum using integration.", "role": "user" }, { "content": "To find the volume of the frustum using integration, we fi...
MathInstruct
617,356
[ { "content": "(Point radical of three circles). Let $\\Gamma_{1}, \\Gamma_{2}, \\Gamma_{3}$ be three circles. Show that their three radical axes $\\Delta_{1}, \\Delta_{2}$, and $\\Delta_{3}$ are either all coincident, concurrent, or parallel.", "role": "user" }, { "content": "\nTo demonstrate that t...
pxyyy/NuminaMath-CoT
2,096,001
[ { "content": "Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 18 days Micheal stops and Adam completes the remaining work in some days. Micheal can complete the work separately in approximately 25 days. In how many days did Adam complete the remaining work?", ...
pxyyy/NuminaMath-CoT
1,718,442
[ { "content": "Real numbers $x,$ $y,$ and $z$ satisfy the following equation:\n\\[5(x + y + z) = x^2 + y^2 + z^2.\\]\nLet $N$ be the maximum value of $xy + xz + yz,$ and let $n$ be the minimum value of $xy + xz + yz.$ Find $N + 5n.$", "role": "user" }, { "content": "Let $A = x + y + z,$ $B = x^2 + y^...
pxyyy/NuminaMath-CoT
2,057,531
[ { "content": "Convert this sql to gorm:\nselect u.user\\_id, max(u.created\\_at) from user\\_activity\\_logs u group by u.user\\_id;", "role": "user" }, { "content": "Here's the equivalent Gorm code:\n```go\ndb.Table(\"user_activity_logs u\").Select(\"u.user_id, max(u.created_at)\").Group(\"u.user_i...
ShareGPT_V3_unfiltered_cleaned_split_no_imsorry
842,176
[ { "content": "A mother is serving pizza at her son's birthday party. After buying 5 pizzas, she must decide how many slices to divide each pizza into so that everyone at the party ends up with an equal number of slices. There are a total of 20 children at the party, and she can choose to divide each pizza int...
MathInstruct
701,116
[ { "content": "In $\\triangle PQR$, point $T$ is on side $QR$ such that $QT=6$ and $TR=10$. What is the ratio of the area of $\\triangle PQT$ to the area of $\\triangle PTR$? [asy]\nsize(6cm);\npair q = (0, 0); pair t = (6, 0); pair r = (16, 0);\npair p = (4, 8);\ndraw(p--q--r--cycle--t);\nlabel(\"$P$\", p, N);\...
pxyyy/dart-math-uniform
2,303,077
[ { "content": "Two samples are extracted as follows: ① Select 2 students from the top 10 students with the best mathematics scores in Class 2 (1) to represent the class in a math competition; ② Select 50 students from 1000 second-grade high school students to participate in a social practice activity. The correc...
pxyyy/NuminaMath-CoT
1,717,672
[ { "content": "Which fuel, Jet A or LNG, is more cost-effective in terms of price per joule of energy for a plane or ship that has a maximum capacity of 500 tons and must travel a distance of at least 1,000 nautical miles while producing zero carbon emissions?", "role": "user" }, { "content": "To com...
WizardLM_evol_instruct_V2_196k
862,625
[ { "content": "What number times a certain fraction squared will give the value of 6^3? The answer is 7776. What is the fraction?", "role": "user" }, { "content": "Let's denote the fraction as \\( f \\) and the number as \\( N \\). According to the problem, we have:\n\n\\[ N \\cdot f^2 = 6^3 \\]\n\nG...
orca-math-word-problems-200k
1,225,284
[ { "content": "On a line, points $A$, $B$, $C$, and $D$ are marked in that order. Point $M$ is the midpoint of segment $AC$, and point $N$ is the midpoint of segment $BD$. Find the length of segment $MN$ if it is known that $AD = 68$ and $BC = 20$.", "role": "user" }, { "content": "1. We are given th...
pxyyy/NuminaMath-CoT
1,438,357
[ { "content": "a is a working partner and b is a sleeping partner in the business. a puts in some amount and b Rs. 25000, a receives 10% of the profit for managing the business, the rest being divided in proportion of their capitals. Out of a total profit of Rs. 9600, money received by a is Rs. 4200. How much mo...
pxyyy/NuminaMath-CoT
1,512,742
[ { "content": "A survey of $120$ teachers determined the following:\n\n$70$ had high blood pressure\n\n$40$ had heart trouble\n\n$20$ had both high blood pressure and heart trouble\n\nWhat percent of the teachers surveyed had neither high blood pressure nor heart trouble?", "role": "user" }, { "conte...
pxyyy/dart-math-uniform
2,404,765
[ { "content": "Francine has five full boxes of crayons and 5 loose crayons, and her friend has 27 loose crayons. They need to put all of their loose crayons in a box. How many more boxes do they need if Francine has a total of 85 crayons?", "role": "user" }, { "content": "If Francine has five full bo...
pxyyy/dart-math-uniform
2,475,262
[ { "content": "Find the coefficient of \\( x^{12} \\) in the Maclaurin series (i.e. Taylor series around \\( x=0 \\) ) for\n\\[\n\\frac{1}{1-3x+2x^2}.\n\\]", "role": "user" }, { "content": "\nTo find the coefficient of \\( x^{12} \\) in the Maclaurin series for \n\\[\n\\frac{1}{1 - 3x + 2x^2},\n\\]\n...
pxyyy/NuminaMath-CoT
1,980,144
[ { "content": "James hurt himself exercising. The pain subsided after some days, but he knew that the injury would take at least 5 times that long to fully heal. After that, he wanted to wait another 3 days before he started working out again. He wants to wait 3 weeks after that to start lifting heavy again. It ...
orca-math-word-problems-200k
53,152
[ { "content": "If $\\sin x,$ $\\cos x,$ $\\tan x$ form a geometric sequence, in this order, then find $\\cot^6 x - \\cot^2 x.$", "role": "user" }, { "content": "Given that $\\sin x,$ $\\cos x,$ $\\tan x$ form a geometric sequence, we know that $\\cos x = \\sqrt{\\sin x \\tan x}$. Squaring this equati...
pxyyy/dart-math-uniform
2,463,547
[ { "content": "List five possible outcomes for someone struggling to manage their increased stress levels.", "role": "user" }, { "content": "1. Burnout and mental exhaustion \n2. Decreased productivity or performance \n3. Physical health issues like headaches, insomnia or high blood pressure \n4. Str...
GPTeacher-General-Instruct
855,798
[ { "content": "Justin needs to collect one flower for each classmate that is in his 2nd-grade class. It takes him on average 10 minutes to find a flower he likes. He has been gathering for 2 hours. Assuming he has lost 3 of the flowers he initially gathered, how many more minutes does he need to look if he has 3...
MathInstruct
652,671
[ { "content": "Let $f$ be a quadratic function which satisfies the following condition. Find the value of $\\frac{f(8)-f(2)}{f(2)-f(1)}$ .\n\nFor two distinct real numbers $a,b$ , if $f(a)=f(b)$ , then $f(a^2-6b-1)=f(b^2+8)$ .", "role": "user" }, { "content": "1. Let \\( f(x) = c(x-h)^2 + d \\)...
pxyyy/NuminaMath-CoT
1,843,151
[ { "content": "The operation $*$ is defined for non-zero integers as follows: $a * b = \\frac{1}{a} + \\frac{1}{b}$. If $a+b = 9$ and $ a \\times b = 20$, what is the value of $a*b$? Express your answer as a common fraction.", "role": "user" }, { "content": "Note that $a * b = \\frac{1}{a} + \\frac{1...
MathInstruct
1,199,656
[ { "content": "In an arithmetic progression, the sum of the first 15 terms is 56.25. If the 7th term is 3.25, what is the value of the 11th term?", "role": "user" }, { "content": "Let's denote the first term of the arithmetic progression as \\( a \\) and the common difference as \\( d \\). The \\( n ...
pxyyy/NuminaMath-CoT
1,522,873
[ { "content": "Could you identify the primary author of the book titled \"Building the Inclusive City,\" which covers the topic of Dubai's urban transformation regarding governance and accessibility? Please provide a detailed analysis of the author's background and works to support your answer.", "role": "us...
WizardLM_evol_instruct_V2_196k
70,649
[ { "content": "You are a historical figure who has just invented penicillin in 1928. Explain your thought process behind the experiment and the discovery.", "role": "user" }, { "content": "As a scientist, I was always searching for ways to combat bacterial infections. My experiment involved observing...
GPTeacher-General-Instruct
1,073,645
[ { "content": "I am making a swiftui application and using firebase for authentication. How should I persist logged in user after they close the app", "role": "user" }, { "content": "To persist a logged-in user after they close the app, you can use Firebase Authentication's built-in support for persi...
ShareGPT_V3_unfiltered_cleaned_split_no_imsorry
124,590
[ { "content": "What is the product of all the coordinates of all the points of intersection of the two circles defined by $x^2-2x +y^2-10y+25=0$ and $x^2-8x+y^2-10y+37=0$?", "role": "user" }, { "content": "Add $(-2/2)^2$ and $(-10/2)^2$ to the first equation and $(-8/2)^2$ and $(-10/2)^2$ to the seco...
MathInstruct
579,029
[ { "content": "Tilly needs to sell 100 bags at $10 per bag to make $300 in profit. How much did she buy each bag for?", "role": "user" }, { "content": "Tilly wants to make $300 in profit by selling 100 bags at $10 per bag, so her total revenue will be 100 * $10 = $1000.\nHer revenue is the sum of her...
pxyyy/dart-math-uniform
2,516,515
[ { "content": "Write three questions that would test the understanding of a person who has read the following text. Then, provide the correct answer for each question.\nThe term 'biodegradable' refers to materials that can be broken down by natural processes, such as decomposition by bacteria or other microorgan...
GPTeacher-General-Instruct
916,675
[ { "content": "Let $A=\\{x|x^{2}-5x+6=0\\}$, $B=\\{x|ax-1=0\\}$. If $A\\cap B=B$, then the value of real number $a$ can be\n\nA: $\\frac{1}{2}$\n\nB: $0$\n\nC: $3$\n\nD: $\\frac{1}{3}$", "role": "user" }, { "content": "To solve the problem, let's break it down step by step:\n\n1. **Find the set $A$**...
pxyyy/NuminaMath-CoT
1,681,252
[ { "content": "Rewrite the following code using an efficient and readable approach.\nnumbersString = input('Enter a list of numbers separated by commas: ') \nnumList = []\nfor num in numbersString.split(','):\n numList.append(int(num))\n\ntotal = 0\nfor i in range(len(numList)):\n total += numList[i]\n\nprin...
Magicoder-Evol-Instruct-110K
391,828
[ { "content": "Determine all prime numbers \\( p, q \\), and \\( r \\) such that \\( p + q^2 = r^4 \\).", "role": "user" }, { "content": "\nGiven the equation involving prime numbers \\( p, q, \\) and \\( r \\):\n\n\\[ p + q^2 = r^4 \\]\n\nwe need to determine all primes \\( p, q, \\) and \\( r \\) t...
pxyyy/NuminaMath-CoT
2,027,549
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nset a consists of all the prime numbers between 62 and 85 . what is the range of set a ?", "role": "user" }, { "content": "Step 1: To find the ...
UltraInteract_sft
540,806
[ { "content": "Margo donated some amount to Jayden's fundraising campaign. Julie donated $4700 to Jayden's campaign. Half the difference in the amount they contributed is $200. How much did Margo donate?", "role": "user" }, { "content": "Let's denote the amount Margo donated as M.\n\nAccording to the...
pxyyy/NuminaMath-CoT
1,571,814
[ { "content": "Given the line $x=\\frac{a}{2}$ intersects with the ellipse $\\frac{x^2}{a^2}+\\frac{y^2}{b^2}=1 (a > b > 0)$ at points $A$ and $B$, and $O$ is the coordinate origin. If $\\triangle ABO$ is a right triangle, then the eccentricity of the ellipse is $\\boxed{(\\ )}$.\nA: $\\frac{\\sqrt{2}}{2}$\nB: $...
pxyyy/NuminaMath-CoT
1,993,697
[ { "content": "The digits from 1 to 9 are each used exactly once to write three one-digit integers and three two-digit integers. The one-digit integers are equal to the length, width and height of a rectangular prism. The two-digit integers are equal to the areas of the faces of the same prism. What is the surfa...
pxyyy/NuminaMath-TIR
1,257,337
[ { "content": "Oliver is at the library helping put away books. There are 46 books to put away total, but a librarian takes 10 of them and leaves Oliver with the rest. He can fit a certain number of books on a shelf and will need 9 shelves. How many books can he fit on a shelf?", "role": "user" }, { ...
pxyyy/NuminaMath-CoT
1,555,440
[ { "content": "Given $a=\\frac{1}{e}, b=\\frac{ln3}{3}, c=\\frac{ln4}{4}$, the correct order of $a$, $b$, $c$ is ( ).\n\nA: $a \\gt b \\gt c$\n\nB: $a \\gt c \\gt b$\n\nC: $c \\gt a \\gt b$\n\nD: $c \\gt b \\gt a$", "role": "user" }, { "content": "To solve this problem, we first define a function $f(...
pxyyy/NuminaMath-CoT
2,067,683
[ { "content": "Let $x$ be a positive integer such that $9x\\equiv 1\\pmod{25}$.\n\nWhat is the remainder when $11+x$ is divided by $25$?", "role": "user" }, { "content": "First, we are given that $9x\\equiv 1\\pmod{25}$. That means the product of $9$ and $x$ leaves a remainder of $1$ when divided by ...
pxyyy/dart-math-uniform
2,355,746
[ { "content": "How many ways are there to put 4 balls in 3 boxes if the balls are distinguishable and the boxes are distinguishable?", "role": "user" }, { "content": "Since the balls are distinguishable and the boxes are distinguishable, each ball has 3 choices of which box to go into, because there ...
pxyyy/dart-math-uniform
2,255,284
[ { "content": "Given that $\\alpha$ is an angle in the third quadrant and $\\cos(\\alpha + \\pi) = \\frac{4}{5}$, find $\\tan(2\\alpha)$.", "role": "user" }, { "content": "[Analysis]\nThis problem tests the application of trigonometric function induction formulas, basic relationships between trigonom...
pxyyy/NuminaMath-CoT
1,800,701
[ { "content": "A sequence ${a_n}$ satisfies $a_1=1$, $a_2=\\frac {1}{2}$, and ${a_na_{n+1}}$ is a geometric sequence with a common ratio of $\\frac {1}{2}$.\n\n1. Find the general term formula for the sequence ${a_n}$.\n2. Let $b_n=3a_{2n}+2n-7$, and $S_n$ is the sum of the first $n$ terms of the sequence ${b_n}...
pxyyy/NuminaMath-CoT
2,165,581
[ { "content": "You have been tasked with creating a successful email marketing campaign for a niche audience. However, you have a limited budget and can only send a certain number of emails per day. Your goal is to optimize the campaign and increase the open and click-through rates as much as possible.\nTo achie...
WizardLM_evol_instruct_V2_196k
1,142,070
[ { "content": "What is the matrix $\\mathbf{M}$ that performs the transformation which sends square $ABCD$ to square $A'B'C'D'$? (In particular, $A$ goes to $A',$ and so on.)\n\n[asy]\n\nsize(200);\nimport graph;\n\npair Z=(0,0), A=(2,3), B=(-3,2), C=(-4,1), D=(-1,-4);\n\nLabel f; \nf.p=fontsize(6); \nxaxis(-1....
pxyyy/dart-math-uniform
2,437,844
[ { "content": "A farmer has a rectangular field with dimensions $2m+7$ and $m-2$. If the field has an area of 51 square units, what is the value of $m$?", "role": "user" }, { "content": "We use the given information to set up a quadratic that relates the area of the field to $m$: \\begin{align*}\n(2m...
MathInstruct
1,187,813
[ { "content": "Solve for $x$: $(x-3)^3 = 27$", "role": "user" }, { "content": "First, we note that $27$ is $3^3$, which simplifies the equation to $(x-3)^3 = 3^3$.\nTaking the cube root of both sides of the equation gives $x-3 = 3$.\nTherefore, solving for $x$ gives $x = 3 + 3 = \\boxed{6}$.", "r...
pxyyy/NuminaMath-CoT
1,783,738
[ { "content": "Given the set $A={}$ of triangles with the longest side length of $7$ and all three side lengths being positive integers, determine the number of true subsets of set $A$.", "role": "user" }, { "content": "**Analysis**\n\nThis problem tests the principles of classified counting, underst...
pxyyy/NuminaMath-CoT
2,135,201
[ { "content": "Here is the revised version of the prompt:\r\n\r\nAs a keen notetaker, I am in need of precise and detailed tags for my note app to help me keep track of interesting sentences. Additionally, I would appreciate it if you could provide me with a succinct description of the topic I am researching. Fu...
WizardLM_evol_instruct_V2_196k
330,640
[ { "content": "Tim decides to start selling necklaces he makes. He uses 10 charms to make each necklace. Each charm cost $15. He sells the necklace for $200. How much profit does he make if he sells 30?", "role": "user" }, { "content": "Each necklace cost 10*15=$150 to make\nSo he makes a profit ...
MathInstruct
419,775
[ { "content": "Provide a concluding statement for the discourse presented earlier which delved into the significance of acquiring knowledge and skills through formal education, and its potential to pave the way towards a promising and prosperous future.", "role": "user" }, { "content": "In conclusion...
WizardLM_evol_instruct_V2_196k
723,761
[ { "content": "The product of three consecutive positive integers is $12$ times their sum. What is the sum of their squares?\n$\\mathrm{(A)}\\ 110 \\qquad\\mathrm{(B)}\\ 121 \\qquad\\mathrm{(C)}\\ 138 \\qquad\\mathrm{(D)}\\ 149 \\qquad\\mathrm{(E)}\\ 162$", "role": "user" }, { "content": "1. **Define...
pxyyy/NuminaMath-CoT
1,460,349
[ { "content": "As a financial analyst tasked with optimizing international payment transactions, you are required to revise the currency conversion formula to include specific charges and taxes. The updated formula should compute the target currency amount by multiplying the base currency amount with a conversio...
WizardLM_evol_instruct_V2_196k
1,107,542
[ { "content": "The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 35 inclusive.\nAnswer Choices: (A) 288 (B) 364 (C) 410 (D) 424 (E) 450", "role": "user" }, { "content": "Let's solve the multi-choice question step by step.\nWe're dealing with a sequ...
MathInstruct
667,988
[ { "content": "A farm has chickens, cows and sheep. There are six times the number of chickens and cows than sheep. If there are more cows than chickens or sheep, and together, cows and chickens have a total of 100 feet and heads, how many sheep live at the farm?\nAnswer Choices: (A) 5 (B) 8 (C) 10 (D) 4 (E) 17"...
MathInstruct
58,802
[ { "content": "Can you right me a D&D campaign?", "role": "user" }, { "content": "Sure, I'd be happy to help you create a Dungeons & Dragons campaign! Here's a basic outline for a campaign that you can use as a starting point:\n\nTitle: The Lost City of Eldarath\n\nPremise: The adventurers are hired ...
ShareGPT_V3_unfiltered_cleaned_split_no_imsorry
655,812
[ { "content": "There are 34 dogwood trees currently in the park. Park workers will plant some dogwood trees today. The park will have 83 dogwood trees when the workers are finished. How many dogwood trees will the workers plant today?", "role": "user" }, { "content": "To find out how many dogwood tre...
orca-math-word-problems-200k
584,511
[ { "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 stem-and-leaf plot shows the number of minutes and seconds of one ride on each of the $17$ top-rated roller coasters in the world. In the stem-and-leaf ...
UltraInteract_sft
1,055,084
[ { "content": "A $\\textit{composite number}$ is a number that has two or more prime factors. The number 87 can be expressed as the sum of two composite numbers in many ways. What is the minimum positive difference between two such numbers?", "role": "user" }, { "content": "We want to find two compos...
pxyyy/dart-math-uniform
2,383,549
[ { "content": "Randy feeds his pigs 10 pounds of feed per pig per day. If Randy has 2 pigs, how many pounds of pig feed will Randy's pigs be fed per week?", "role": "user" }, { "content": "If Randy feeds each pig 10 pounds of feed per day, and he has 2 pigs, then he will feed a total of 10 pounds x 2...
pxyyy/NuminaMath-CoT
1,408,963
[ { "content": "A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the larger wheel has made 24 revolutions, then the number of revolutions made by the smaller wheel is:\nAnswer Choices: (A) 52 (B) 24 (C) 48 (D) 56 (E) 43", "role": "user" }, { "content": "D\n56\nLet the required nu...
MathInstruct
577,420
[ { "content": "table name: table_14562722_1\n| | No. in series | Title | Directed by | Written by | Original air date | Production code |\n|---:|----------------:|:---------------------------------------------|:-----------------|...
Magicoder-Evol-Instruct-110K
1,174,499
[ { "content": "JSON data related to the above content, with additional functions for URL parsing and modified regex patterns for ignoring subdomains and components:\r\n\r\n{\r\n \"functions\": [\r\n {\r\n \"name\": \"protocolFromUrl\",\r\n \"description\": \"Extracts the protocol (http, https, ftp,...
WizardLM_evol_instruct_V2_196k
139,706
[ { "content": "Explore the implications of using AI and Machine Learning in criminal justice systems, with a focus on the potential for biased decision-making and the impact on marginalized communities. Investigate how these technologies are being used in pretrial risk assessments, sentencing, and parole decisio...
WizardLM_evol_instruct_V2_196k
394,046
[ { "content": "Ava's parents are organizing a birthday party for her. They bought a unicorn piñata for $15 and filled it with her favorite treats, toys, and trinkets. They purchased 5 bags of Reese's for $10 each, 3 bags of Snickers for $5 each, 6 bags of Skittles for $8 each, and 4 bags of M&M's for $6 each. Fo...
orca-math-word-problems-200k
492,655
[ { "content": "Dorothy earns $60000 a year from her work. She needs to pay 18% of this amount in taxes. How much money will she have left after she pays the taxes?", "role": "user" }, { "content": "Dorothy's income is $60,000 per year.\nShe needs to pay 18% of her income in taxes. To calculate the am...
pxyyy/dart-math-uniform
2,568,200
[ { "content": "Mckenna starts her day at 8:00 a.m. She works in her office up to 11:00 a.m. then joins her team of developers at the conference room to talk about projects up to 13:00, from which she works for another two hours and then heads home. How many hours does Mckenna stay at work?", "role": "user" ...
pxyyy/dart-math-uniform
2,528,685
[ { "content": "Write Python code to solve the task.\nAmr bought a new video game \"Guess Your Way Out!\". The goal of the game is to find an exit from the maze that looks like a perfect binary tree of height h. The player is initially standing at the root of the tree and the exit from the tree is located at some...
UltraInteract_sft
44,908
[ { "content": "the number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is ? Please write a program to solve it", "role": "user" }, { "content": "import math\nn0 = 2.3\nt0 = math.floor(n0)\nt1 = n0 - t0\nt2 = t1 / 60.0\nt3 = t2 * 100.0\n...
MathInstruct
498,268
[ { "content": "Luis is driving 80 miles in 2 hours. How far will he go in 15 minutes?", "role": "user" }, { "content": "First, we need to figure out Luis's speed per hour. Since he traveled 80 miles in 2 hours, his speed is 80 miles / 2 hours = 40 miles per hour.\n\nNow, there are 60 minutes in an ho...
pxyyy/dart-math-uniform
2,596,272
[ { "content": "Anna used four baking trays to bake cupcakes. Each tray has 20 cupcakes and each cupcake was then sold for $2. If only 3/5 of the cupcakes were sold and the rest were kept, how much did Anna earn from it?", "role": "user" }, { "content": "Anna used 4 trays of cupcakes, and each tray ha...
pxyyy/dart-math-uniform
2,737,274
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