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{
"content": "If there are 4 peanuts in the first box, and Mary puts 6 more peanuts inside, resulting in 10 peanuts in the first box. Meanwhile, there are 7 peanuts in the second box, and John adds 5 more peanuts. How many peanuts are in both boxes combined?",
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{
"content": "After M... |
[
{
"content": "What is the best way to get from one place to another?",
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},
{
"content": "The term \"best\" is relative to your individual preferences and circumstances. \n\nIn general, how to get from one place to another depends on several key factors, such as the distance between the... |
[
{
"content": "In the Cartesian coordinate system, the coordinates of the point $P(-2,1)$ with respect to the $x$-axis are ( ).\n\nA: $(2,1)$\n\nB: $(1,-2)$\n\nC: $(-2,-1)$\n\nD: $(2,-1)$",
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{
"content": "To find the coordinates of the point $P(-2,1)$ with respect to the $x$-axis, we... |
[
{
"content": "What is an operating model for AI?",
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},
{
"content": "It refers to the processes put in place to work with AI, from use case definition, to development to deployment and operation. Ultimately the objective of an operating model for AI is to streamline the value generatio... |
[
{
"content": "In the series A Song of Ice and Fire, who is the founder of House Blackfyre?",
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},
{
"content": "House Blackfyre, a branch that separated from House Targaryen, was founded by Daemon I Targaryen",
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] |
[
{
"content": "Classify if the following are hollywood or bollywood movies: Zanjeer; The Shawshank redemption; Sholay; Pride & prejudice",
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},
{
"content": "Zanjeer and Sholay are bollywood moves. The Shawshank redemption and Pride & Prejudice are hollywood movies.",
"role": "assist... |
[
{
"content": "A function $g$ is defined by $g(z) = (3 - 2i) z^2 + \\beta z + \\delta$ for all complex numbers $z$, where $\\beta$ and $\\delta$ are complex numbers and $i^2 = -1$. Suppose that $g(1)$ and $g(-i)$ are both real. What is the smallest possible value of $|\\beta| + |\\delta|$?",
"role": "user"
... |
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{
"content": "Points $P$, $Q$, and $R$ lie on the surface of a sphere with center $O$ and radius $25$. It is given that $PQ=15$, $QR=20$, $RP=25$, and that the distance from $O$ to $\\triangle PQR$ is $\\frac{x\\sqrt{y}}{z}$, where $x$, $y$, and $z$ are positive integers, $x$ and $z$ are relatively prime, and $... |
[
{
"content": "Why is Brazilian jiu jitsu an excellent martial art?",
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},
{
"content": "Brazilian jiu jitsu (BJJ) is an excellent martial art for a number of reasons. BJJ is, first and foremost, a generally safe martial art. BJJ does not emphasize or focus on striking techniques like ... |
[
{
"content": "Given this article, what is the largest size for a dead man zone?\n\nContext: The dead man zone is the area directly around a bushfire that is likely to burn within five minutes given the current wind conditions or an anticipated change in wind direction. The distance this zone extends from the fi... |
[
{
"content": "Let the ellipse $$\\frac {x^{2}}{a^{2}}+ \\frac {y^{2}}{b^{2}}=1(a＞b＞0)$$ have its left focus at F, its top vertex at A, and a line through point A perpendicular to AF intersects the ellipse and the positive x-axis at points P and Q, respectively, with AP:PQ = 8:5. \n(1) Find the eccentricity of ... |
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{
"content": "Given the function $f(x)=\\cos (2x+\\varphi)$, where $(-\\pi\\leqslant \\varphi < \\pi)$, its graph is shifted to the right by $\\frac{\\pi}{2}$ units and overlaps with the graph of the function $y=\\sin x\\cos x + \\frac{\\sqrt{3}}{2}\\cos x$. What could be the value(s) of $|\\varphi|$?\n\nA: $\\... |
[
{
"content": "Best place to visit for a day from Bangalore",
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},
{
"content": "1. Myshore\n2. Coorg\n3. Ooty",
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] |
[
{
"content": "Write me a poem about data",
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"content": "Data is big\nData is great\nData must stand\nOr endeavour a fate\nWhere truth becomes blurred \nWhere knowledge can't roost \nAnd fall victim you may\nTo subjective seduce",
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[
{
"content": "A certain stock yields 8%. The market value of the stock is $150. What is the percentage of the stock's original value?",
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{
"content": "To determine the percentage of the stock's original value, we need to know the original value of the stock. Without this information... |
[
{
"content": "True or false, fish live on land?",
"role": "user"
},
{
"content": "False. Fish live in the water.",
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] |
[
{
"content": "What is Wimbledon?\n\nContext: The Wimbledon Championships, commonly known simply as Wimbledon, is the oldest tennis tournament in the world and is widely regarded as the most prestigious. It has been held at the All England Club in Wimbledon, London, since 1877 and is played on outdoor grass cour... |
[
{
"content": "Let \\( \\mathbf{a}, \\mathbf{b}, \\) and \\( \\mathbf{c} \\) be unit vectors such that \\( \\mathbf{a} \\cdot \\mathbf{b} = \\mathbf{a} \\cdot \\mathbf{c} = 0, \\) and the angle between \\( \\mathbf{b} \\) and \\( \\mathbf{c} \\) is \\( \\frac{\\pi}{3} \\). Then\n\\[\n\\mathbf{a} = k (\\mathbf{b}... |
[
{
"content": "In a class of 94 students, 41 are taking French, 22 are taking German. Of the students taking French or German, some are taking both courses. There are 40 students not enrolled in either course. How many students are taking both French and German?",
"role": "user"
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{
"content": "Let'... |
[
{
"content": "What sport did Troy Stradford play in college?",
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},
{
"content": "Troy Stradford played football at Boston College in the 1980s and went on to play professionally for the Miami Dolphins in the NFL.",
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] |
[
{
"content": "There are 11 square formations, each consisting of the same number of soldiers. If 1 general is added, a larger square formation can be formed. What is the minimum number of soldiers in one of the original square formations?",
"role": "user"
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{
"content": "\n1. **Define the variables... |
[
{
"content": "Is it safe for dogs to eat chocolate?",
"role": "user"
},
{
"content": "No, chocolate is considered dangerous for dogs to consume.",
"role": "assistant"
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] |
[
{
"content": "Let $P$ be a point outside of circle $O.$ A segment is drawn from $P$ such that it is tangent to circle $O$ at point $T.$ Meanwhile, a secant from $P$ intersects $O$ at $A$ and $B,$ such that $PA < PB.$ If $PA = 3$ and $PT = AB - PA,$ then what is $PB$?",
"role": "user"
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{
"content":... |
[
{
"content": "Suggest some brass instruments I can learn if I want to play in an orchestra?",
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},
{
"content": "French Horn, Trombone, Trumpet and Tuba are common brass instruments in orchestras.",
"role": "assistant"
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] |
[
{
"content": "How many miles can a car travel in 20 minutes if it travels $ \\, \\frac{3}{4} \\, $ as fast as a train going 80 miles per hour?",
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},
{
"content": "The car travels at a speed of $$\\frac{3}{4}\\times80\\text{ miles per hour}=3\\times20=60\\text{ miles per hour}.$$ In $20... |
[
{
"content": "Let $a,$ $b,$ $c$ be distinct complex numbers such that\n\\[\\frac{a}{1 - b} = \\frac{b}{1 - c} = \\frac{c}{1 - a} = k.\\]Find the sum of all possible values of $k.$",
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},
{
"content": "From the given equation,\n\\begin{align*}\na &= k(1 - b), \\\\\nb &= k(1 - c), \\\\\nc... |
[
{
"content": "Which episode does Jon Snow lead a battle where he is outnumbered by Ramsey Bolton?",
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},
{
"content": "\"Battle of the Bastards\" is the ninth episode of the sixth season of Game of Thrones which had the massive battle between Jon Snow and Ramsey Bolton. Ramsey Bolton ul... |
[
{
"content": "When the greatest common divisor and least common multiple of two integers are multiplied, the product is 180. How many different values could be the greatest common divisor of the two integers?",
"role": "user"
},
{
"content": "We know that $\\gcd(a,b) \\cdot \\mathop{\\text{lcm}}[a,b... |
[
{
"content": "In 1995, a village had a population that was a perfect square. Twelve years later, after an increase of 180 people, its population was 12 more than a perfect square. Twenty-four years after 1995, with an increase of another 180 people, the population once again equaled a perfect square. Determine ... |
[
{
"content": "What are the FAANG companies?",
"role": "user"
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{
"content": "Five of the best performing tech stocks of the last decade are Facebook, Amazon, Apple, Netflix, and Google. Those five stocks have been pulled together into an the acronym FAANG.",
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] |
[
{
"content": "How many prime numbers between 30 and 65 have a prime remainder when divided by 10?",
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},
{
"content": "If a prime number between 30 and 65 has a prime remainder when divided by 10, it must end in 3 or 7, since any number greater than 10 ending in 2 or 5 is composite. Sy... |
[
{
"content": "The operation $\\star$ is defined as $a \\star b = a^2 \\div b$. For how many integer values of $x$ will the value of $10 \\star x$ be a positive integer?",
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},
{
"content": "If $10 \\star x = n$ a positive integer, then $10^2 = 100 = nx$. In other words, $x$ must be a po... |
[
{
"content": "What is a whiteboard?\n\nContext: A whiteboard (also known by the terms marker board, dry-erase board, dry-wipe board, and pen-board) is a glossy, usually white surface for making non-permanent markings. Whiteboards are analogous to blackboards, but with a smoother surface allowing for rapid marki... |
[
{
"content": "For all positive integers \\( n \\) less than or equal to \\( 3000 \\), define \\( b_n \\) as follows:\n\\[\nb_n =\\left\\{\n\\begin{array}{lr} \n15, & \\text{if } n \\text{ is divisible by } 15 \\text{ and } 17;\\\\ \n17, & \\text{if } n \\text{ is divisible by } 17 \\text{ and } 13;\\\\ \n13, & ... |
[
{
"content": "Identify which animal species is alive or extinct: Repenomamus, Jaguar",
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},
{
"content": "Jaguar is alive, Repenomamus is extinct.",
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}
] |
[
{
"content": "At a restaurant that serves only vegan food, tell me whether each of the following items could be found in the kitchen or not: Butter, Eggs, Tofu, Chicken, Kale, Spinach, Peppers, Steak, Bread, Chickpeas, Pork",
"role": "user"
},
{
"content": "Butter: Could not be found in the kitchen\... |
[
{
"content": "The graph below shows a portion of the curve defined by the quartic polynomial $P(x)=x^4+ax^3+bx^2+cx+d$.\n\n[asy]\nunitsize(0.8 cm);\n\nint i;\n\nreal func (real x) {\n return(0.5*(x^4/4 - 2*x^3/3 - 3/2*x^2) + 2.7);\n}\n\ndraw(graph(func,-4.5,4.5));\ndraw((-4.5,0)--(4.5,0));\ndraw((0,-5.5)--(0,5... |
[
{
"content": "If \\(7x = 28\\) and \\(x + w = 9\\), what is the value of \\(xw\\)?\n(A) 9\n(B) 20\n(C) 18\n(D) 52\n(E) -252",
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{
"content": "\n1. To determine the value of \\( x \\), we start by solving the equation \\( 7x = 28 \\).\n\n\\[\nx = \\frac{28}{7}\n\\]\n\n\\[\nx = 4\n\\]\... |
[
{
"content": "Two-thirds of the people in a room are seated in three-fourths of the chairs. The rest of the people are standing. If there are 6 empty chairs, how many people are in the room?",
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{
"content": "Because the 6 empty chairs are $\\frac{1}{4}$ of the chairs in the room, th... |
[
{
"content": "What is a, \"one-timer\" in ice hockey?",
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},
{
"content": "Ice hockey is a sport typically played with one goalie and five skaters on each of two opposing teams. A one-timer is an expression used to describe a shot taken by a player directly from a pass of another playe... |
[
{
"content": "In an election with only two candidates, a candidate secured 70% of the valid votes and won by a certain majority. The total number of valid votes was 435. What was the majority of votes by which the candidate won?",
"role": "user"
},
{
"content": "Let's denote the winning candidate's ... |
[
{
"content": "Sony and Johnny caught 40 fishes. Sony caught some times as many as Johnny. Johnny caught 8 fishes. How many times more fishes did Sony catch than Johnny?",
"role": "user"
},
{
"content": "If Johnny caught 8 fishes and Sony caught some times as many as Johnny, we can find out how many ... |
[
{
"content": "In the plane, the triangles $ABD$ and $BCE$ are outside the triangle $ABC$ and are also isosceles triangles right at $D$ and $C$ respectively. The point $H$ is the intersection of $CD$ and $AE$ . Show that $BH$ and $AE$ are perpendicular.",
"role": "user"
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{
"conte... |
[
{
"content": "What are a couple date night ideas?",
"role": "user"
},
{
"content": "Date nights are a great way to connect with your significant other. You could go to dinner and a movie. This option may sound cliché but try to be creative by choosing a restaurant you haven't been to and see a mov... |
[
{
"content": "Each term of a sequence, after the first term, is inversely proportional to the term preceding it, and the constant of proportionality stays the same. If the first term is 2 and the second term is 5, what is the 12th term?",
"role": "user"
},
{
"content": "Recall that two quantities ar... |
[
{
"content": "In the geometric sequence $\\{a_n\\}$, it is known that $a_1=1$, and $a_4=8$, then $a_5=$ （ ）\nA: 16\nB: 16 or -16\nC: 32\nD: 32 or -32",
"role": "user"
},
{
"content": "Solution: $$q^{3}= \\frac {a_{4}}{a_{1}}=8$$ \n∴ $q=2$ \n∴ $a_{5}=a_{1}\\cdot q^{4}=16$ \nTherefore, the correct... |
[
{
"content": "Compute\n\\[\\prod_{n = 1}^{20} \\frac{n + 3}{n}.\\]",
"role": "user"
},
{
"content": "We have that\n\\begin{align*}\n\\prod_{n = 1}^{20} &= \\frac{4}{1} \\cdot \\frac{5}{2} \\cdot \\frac{6}{3} \\cdot \\frac{7}{4} \\dotsm \\frac{20}{17} \\cdot \\frac{21}{18} \\cdot \\frac{22}{19} \\cdo... |
[
{
"content": "What are the four primary states of matter? Answer in bullet point list, and capitalize each words",
"role": "user"
},
{
"content": "- Solid\n- Liquid\n- Gas\n- Plasma",
"role": "assistant"
}
] |
[
{
"content": "Name five NFL teams in the NFC.",
"role": "user"
},
{
"content": "Five NFL teams in the NFC are the Carolina Panthers, New Orleans Saints, Philadelphia Eagles, New York Giants, and Detroit Lions.",
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] |
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{
"content": "In the Cartesian coordinate system, if the line $ax-y+1=0$ passes through the focus of the parabola $y^2=4x$, then the real number $a=$ ____.",
"role": "user"
},
{
"content": "Firstly, the focus of the parabola $y^2=4x$ has the coordinates $(1,0)$, following the standard form of the pa... |
[
{
"content": "Given that the polynomial $x^2-5x+t$ has only positive integer roots, find the average of all distinct possible values of $t$.",
"role": "user"
},
{
"content": "Let $r_1$ and $r_2$ be the roots of this polynomial. Since $-\\frac{b}{a}$ is the sum and $\\frac{c}{a}$ is the product of th... |
[
{
"content": "A group of science students went on a field trip along with their teachers and another group of language students. They took transportation using the following vehicles: 3 vans, 5 buses, and 2 minibuses. The vans had a capacity of 7 students each, the buses could hold 25 students and 2 teachers ea... |
[
{
"content": "The opposite of $2023$ is\n\nA: $-\\frac{1}{{2023}}$\n\nB: $\\frac{1}{{2023}}$\n\nC: $-2023$\n\nD: $2023$",
"role": "user"
},
{
"content": "To find the opposite of a number, we simply change its sign. If the number is positive, its opposite is negative, and vice versa. For the number $... |
[
{
"content": "In town A, there are \\( n \\) girls and \\( n \\) boys, and each girl knows each boy. In town B, there are \\( n \\) girls \\( g_{1}, g_{2}, \\ldots, g_{n} \\) and \\( 2n-1 \\) boys \\( b_{1}, b_{2}, \\ldots, b_{2n-1} \\). The girl \\( g_{i}, i=1,2, \\ldots, n \\), knows the boys \\( b_{1}, b_{2}... |
[
{
"content": "There are many CDs in the store. The rock and roll CDs are $5 each, the pop CDs are $10 each, the dance CDs are a certain price each, and the country CDs are $7 each. Julia wants to buy 4 of each, but she only has 75 dollars and is short by $25. How much does each dance CD cost?",
"role": "use... |
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{
"content": "Which TV show features a team of teenagers that power up with powers given to them by Zordon to save the world from monsters?",
"role": "user"
},
{
"content": "The Mighty Morphin Power Rangers.",
"role": "assistant"
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] |
[
{
"content": "Which company designed SoundBridge?\n\nContext: SoundBridge is a hardware device from Roku, Inc. designed to play internet radio or digital audio streamed across a home network, over either Wi-Fi or ethernet. SoundBridge devices directly browsed the Radio Roku guide. As of 2008 all Roku SoundBridg... |
[
{
"content": "Mr. and Mrs. Lopez have two children. When they get into their family car, two people sit in the front, and the other two sit in the back. Either Mr. Lopez or Mrs. Lopez must sit in the driver's seat. How many seating arrangements are possible?",
"role": "user"
},
{
"content": "Ther... |
[
{
"content": "In the series A Song of Ice and Fire, who is the founder of House Clegane?",
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},
{
"content": "The name of House Clegane's founder is unknown. He was a kennelmaster of Casterly Rock and saved Lord Tytos Lannister from a lionness. As a reward, Lord Lannister granted the un... |
[
{
"content": "Given the exponential function $f(x) = a^x$ is always less than 2 for $x \\in [-2, 2]$, the range of the real number $a$ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
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{
"content": "When $a > 1$, $f(x) = a^x$ is an increasing function on $[-2, 2]$,\n\n∴ The maximum value of $f(x)$, $f(x)_{... |
[
{
"content": "In a $6 \\times 6$ chessboard, some $1 \\times 2$ dominoes are placed, each covering exactly two squares. If there are still 14 squares uncovered, determine if at least one more domino can be placed on the board.",
"role": "user"
},
{
"content": "\n1. **Strategy for approaching the pro... |
[
{
"content": "A picky princess is choosing a groom. One hundred grooms are courting her, each better than the last, and no two are equal. However, they propose in a random order. We will call a groom outstanding if the princess likes him more than all who have proposed before him. The first groom is also consid... |
[
{
"content": "in the rectangular coordinate system , points ( 4 , 0 ) and ( – 4 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c",
"role": "user"
},
{
"content": "The points (4, 0) and (-4, 0) are both on the x-axis and are 8 units apart. Since they both lie on circ... |
[
{
"content": "Bill is stocking the kitchenware section of the Walmart. He needs to stack 60 pots. On each shelf, he can stack five pots vertically and a certain number of sets of vertically stacked pots side-by-side. He needs 4 shelves to stock all the pots. How many sets of vertically stacked pots can he place... |
[
{
"content": "The area of the smallest square that will contain a circle of radius 4 is what?",
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},
{
"content": "The smallest square has side 8 and area $8^2=\\boxed{64}$. [asy]\ndraw(Circle((12,12), 12));\ndraw((0,0)--(0,24)--(24,24)--(24,0)--cycle);\ndraw((0,12)--(24,12));\ndot((12,... |
[
{
"content": "The number $N$ is between $7$ and $15$. The average of $4$, $8$, and $N$ could be\n$\\text{(A)}\\ 6 \\qquad \\text{(B)}\\ 7 \\qquad \\text{(C)}\\ 9 \\qquad \\text{(D)}\\ 11 \\qquad \\text{(E)}\\ 13$\n$\\text{(A)}\\ 6 \\qquad \\text{(B)}\\ 7 \\qquad \\text{(C)}\\ 9 \\qquad \\text{(D)}\\ 11 \\qquad ... |
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{
"content": "How do you plan a trip?",
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{
"content": "There are many different ways to plan a trip. In addition, there are many different factors to include in order to plan a trip. First of all, it is important to know the type of travel. Is this a business trip? Is this family tr... |
[
{
"content": "Eighty-five more than the square of a number is the same as the square of the quantity that is $17$ less than the number. What is the number?",
"role": "user"
},
{
"content": "If the number is $x$, we set up the equation $x^2+85=(x-17)^2$ and solve for $x$. \\begin{align*}\nx^2+85&=(x-... |
[
{
"content": "a can finish a piece of work in 4 days . b can do it in 14 days . they work together for two days and then a goes away . in how many days will b finish the work ?",
"role": "user"
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{
"content": "Let's calculate the amount of work A and B can do together in one day.\n\nA can finish th... |
[
{
"content": "Find the number of square units in the area of the triangle.\n\n[asy]size(125);\ndraw( (-10,-2) -- (2,10), Arrows);\ndraw( (0,-2)-- (0,10) ,Arrows);\ndraw( (5,0) -- (-10,0),Arrows);\n\nlabel(\"$l$\",(2,10), NE);\nlabel(\"$x$\", (5,0) , E);\nlabel(\"$y$\", (0,-2) , S);\nfilldraw( (-8,0) -- (0,8) --... |
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{
"content": "For any real numbers $x$ and $y$, find the minimum value of $|x-1|+|x|+|y-1|+|y+1|$.",
"role": "user"
},
{
"content": "To find the minimum value of the given expression, we will consider the properties of absolute values and the triangle inequality.\n\nWe have\n\\[\n|x-1|+|x|+|y-1|+|y+... |
[
{
"content": "The base six number $125_{6}$ is equal to the base $b$ number $221_{b}$. What is the positive value of $b$?",
"role": "user"
},
{
"content": "First, convert the base six number $125_6$ to base ten:\n$$ 125_{6} = 1 \\cdot 6^2 + 2 \\cdot 6^1 + 5 \\cdot 6^0 = 1 \\cdot 36 + 2 \\cdot 6 + 5 ... |
[
{
"content": "Petya has $n^{3}$ white $1 \\times 1 \\times 1$ cubes. He wants to assemble them into an $n \\times n \\times n$ cube that is completely white on the outside. What is the minimum number of cube faces Vasya needs to paint to prevent Petya from achieving this? Solve the problem for a) $n=2$; b) $n=3... |
[
{
"content": "Imagine you're seeing colors for the first time. Explain what you see and how you feel.",
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{
"content": "I honestly never thought I would experience colors in my lifetime. I'm overwhelmed with the amount of new colors I see. I now see more than just two different optio... |
[
{
"content": "Joan picked some oranges, and Sara picked 10 oranges. Alyssa picked 30 pears. In total, 47 oranges were picked. How many oranges did Joan pick?",
"role": "user"
},
{
"content": "If Sara picked 10 oranges and the total number of oranges picked was 47, then Joan must have picked the diff... |
[
{
"content": "Given the polynomial \\( q(x) = x^5 - 4x^2 + 3 \\), find the coefficient of the \\( x^4 \\) term in the polynomial \\( (q(x))^2 \\).",
"role": "user"
},
{
"content": "First, analyze the polynomial \\( q(x) = x^5 - 4x^2 + 3 \\). To find the \\( x^4 \\) term in \\( (q(x))^2 \\), we consi... |
[
{
"content": "Asia found a beautiful homecoming dress in a foreign online store. The dress was originally priced at €300. The store had a sale going on, offering a 20% discount on dresses. Then, Asia also had a special member coupon that granted her an additional 10% discount on the already reduced price. She b... |
[
{
"content": "Find the number of positive divisors of 2002.",
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},
{
"content": "$ 2002 = 2^1 \\cdot 7^1 \\cdot 11^1 \\cdot 13^1 \\qquad \\Rightarrow \\qquad t(2002) = (1 + 1)(1 + 1)(1 + 1)(1 + 1) = \\boxed{16}. $",
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] |
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{
"content": "In a sequence of positive integers, each term after the first is $\\frac{1}{3}$ of the sum of the term that precedes it and the term that follows it. What is the 6th term of this sequence if the 2nd term is 7 and the 3rd term is 20?",
"role": "user"
},
{
"content": "Let $a_1, a_4, a_5,... |
[
{
"content": "Mary is baking a cake. The recipe calls for 12 cups of flour and 5 cups of sugar. She already put in some cups of flour. If she still needs 2 more cups of flour, how many cups of flour did she put in?",
"role": "user"
},
{
"content": "Mary needs 2 more cups of flour to complete the 12 ... |
[
{
"content": "Why is a pomegranate known as a hand grenade?",
"role": "user"
},
{
"content": "When pomegranates become overripe, they will literally burst on the tree, like a grenade. In Spanish, they are known as granadas for this reason.",
"role": "assistant"
}
] |
[
{
"content": "What are some physical activities I could do on a sunny day?",
"role": "user"
},
{
"content": "On a sunny day, you can take advantage of the nice weather by doing outdoor activities. For solo activities, you can go on a run, a hike or a bike ride. For group activities, consider playing... |
[
{
"content": "an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is l... |
[
{
"content": "Tell me whether these numbers are odd or even",
"role": "user"
},
{
"content": "10, 2, 7, 17, 777, 1284, 28, 57, 298, 102",
"role": "assistant"
}
] |
[
{
"content": "How many island does Hawaii have?",
"role": "user"
},
{
"content": "Hawaii has 8 islands in total,",
"role": "assistant"
}
] |
[
{
"content": "If w is 40 percent less than u, u is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w?",
"role": "user"
},
{
"content": "Let's start by expressing the relationships between w, u, and y in terms of equations.\n\nIf w is 40 percent le... |
[
{
"content": "Square $ABCD$ is inscribed in the region bound by the parabola $y = x^2 - 8x + 12$ and the $x$-axis, as shown below. Find the area of square $ABCD.$\n\n[asy]\nunitsize(0.8 cm);\n\nreal parab (real x) {\n return(x^2 - 8*x + 12);\n}\n\npair A, B, C, D;\nreal x = -1 + sqrt(5);\n\nA = (4 - x,0);\nB ... |
[
{
"content": "A function $f(x)$ satisfies the following conditions: ① $f(x)$ is a monotonically increasing function on the interval $\\left[a,b\\right]$; ② The range of $f(x)$ on $\\left[a,b\\right]$ is $\\left[ka,kb\\right]$. The interval $\\left[a,b\\right]$ is called a $k$-level \"harmonic interval\" of $y=f... |
[
{
"content": "Which team's have the most NCAA Division I men's basketball championships?",
"role": "user"
},
{
"content": "1. UCLA has 11 championship wins\n2. Kentucky has 8 championship wins\n3. North Carolina has 6 championship wins\n4. Due has 5 championship wins\n5. Indian has 5 championship wi... |
[
{
"content": "How many three digit numbers are left if we exclude all three digit numbers in which there are exactly two digits the same, but these two digits are not adjacent?",
"role": "user"
},
{
"content": "The only three digit numbers which are ruled out are numbers of the form $ABA$, where A a... |
[
{
"content": "Find the value of $k$ for which $kx^2 -5x-12 = 0$ has solutions $x=3$ and $ x = -\\frac{4}{3}$.",
"role": "user"
},
{
"content": "Recall that for an equation of the form $ax^2 + bx + c = 0$, the sum of roots is equal to $-b/a$ and the product of the roots is equal to $c/a$.\n\nSo, we c... |
[
{
"content": "Use the bisection method to find an approximate solution to the equation $x^2-5=0$ within the interval (2, 3), after \\_\\_\\_\\_\\_\\_ bisections, the accuracy can reach 0.01.",
"role": "user"
},
{
"content": "Since the initial interval length is 1, and the accuracy requirement is 0.0... |
[
{
"content": "Let $R$ be a region in the plane with area 15. Apply the matrix\n\\[\\begin{pmatrix} 3 & 4 \\\\ 6 & -2 \\end{pmatrix}\\] to $R$, resulting in the region $R'$. Determine the area of $R'$.",
"role": "user"
},
{
"content": "First, compute the determinant of the matrix to understand the ef... |
[
{
"content": "A liter of cream contains a certain percentage of butterfat. To obtain one liter of mixture with 6.5 percent butterfat, 3 liters of skim milk containing 5.5 percent butterfat must be added to the mixture. What is the percentage of butterfat in the cream?",
"role": "user"
},
{
"content"... |
[
{
"content": "What is the smallest positive four-digit integer equivalent to 6 mod 7?",
"role": "user"
},
{
"content": "An integer that is equivalent to 6 mod 7 can be written in the form $7k+6$.\n\n$1000$ is the smallest four-digit integer, so we want to solve the inequality $7k+6 \\ge 1000$. This ... |
[
{
"content": "Each day, Jenny ate $20\\%$ of the jellybeans that were in her jar at the beginning of that day. At the end of second day, 32 remained. How many jellybeans were in the jar originally?",
"role": "user"
},
{
"content": "Since Jenny ate $20\\%$ of the jellybeans remaining each day, $80\\%... |
[
{
"content": "How many ways can a four-cell polyomino in the shape of the letter $Z$ (see the figure) be placed on a chessboard (size $8 \\times 8$ cells) so that it fits exactly on the cells of the board and within its boundaries? The polyomino can be rotated and flipped. Justify your answer.",
"role": "us... |
[
{
"content": "Given the function $f(x)=x^{2}+\\\\ln x$, if the equation of the tangent line to the curve $y=f(x)$ at the point $(1,f(1))$ is $y=ax+b$, then $a+b=$ _____ .",
"role": "user"
},
{
"content": "Since $f(x)=x^{2}+\\\\ln x$,\n\nThen $f(1)=1^{2}+\\\\ln 1=1$, so the point of tangency is $(1,1... |
[
{
"content": "When did Felix Luna die?\n\nContext: Félix César Luna (30 September 1925 – 5 November 2009) was an Argentine writer, lyricist and historian.",
"role": "user"
},
{
"content": "Felix Luna died on November 5th, 2009",
"role": "assistant"
}
] |
[
{
"content": "A circle centered at $A$ with a radius of $1$ and a circle centered at $B$ with a radius of $4$ are externally tangent. A third circle is tangent to the first two and to one of their common external tangents as shown. What is the radius of the third circle? [asy]\ndraw((-3,0)--(7.5,0));\ndraw(Circ... |
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