conversations listlengths 2 138 | source stringclasses 11
values | conversation_id int64 0 2.17M |
|---|---|---|
[
{
"content": "Determine the greatest possible four-digit integer \\( m \\) such that both \\( m \\) and the integer obtained by reversing the digits of \\( m \\) are divisible by 55. Additionally, \\( m \\) must also be divisible by 11.",
"role": "user"
},
{
"content": "Let \\( n \\) be the integer ... | pxyyy/NuminaMath-CoT | 2,019,235 |
[
{
"content": "Can you assist me in adding a radial blur effect to this SVG?\n<svg width=\"32\" height=\"32\" viewBox=\"0 0 32 32\" fill=\"none\" xmlns=\"http://www.w3.org/2000/svg\">\n<path d=\"M26.9866 12.5857C29.7862 15.21 30.5061 18.7386 29.6762 21.8445C29.6624 21.8965 29.6481 21.9483 29.6334 22C28.5435 25.8... | Magicoder-Evol-Instruct-110K | 1,209,392 |
[
{
"content": "Explain the benefits of implementing a highly organized and systematic approach to software development that involves a well-structured coding process, utilizing a variety of programming languages and frameworks, adhering to strict coding standards and guidelines, collaborating with team members f... | WizardLM_evol_instruct_V2_196k | 602,396 |
[
{
"content": "a is a certain times as good a workman as b and they took 5 days together to do the work. b alone can do it in 15 days. What is the ratio of a's work efficiency to b's?",
"role": "user"
},
{
"content": "Let's denote the work efficiency of A as \\( a \\) and the work efficiency of B as ... | pxyyy/NuminaMath-CoT | 1,463,017 |
[
{
"content": "As a programmer, you need to retrieve data from a card reader. However, the reader is not compatible with the standard connection types, such as USB or Ethernet. Instead, it only has a serial port connection. You need to use C# to establish a connection with the reader and retrieve the data from t... | WizardLM_evol_instruct_V2_196k | 572,444 |
[
{
"content": "Given that $\\cos \\alpha= \\frac {4}{5}$, where $\\alpha \\in (0, \\pi)$, find the value of $\\tan \\alpha$.",
"role": "user"
},
{
"content": "We know that $\\cos \\alpha= \\frac {4}{5}$ and $\\alpha$ is an acute angle since it lies within the interval $(0, \\pi)$. Using the trigonome... | pxyyy/NuminaMath-CoT | 2,059,877 |
[
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nMoore's law says that the number of transistors that can be placed inexpensively on a silicon chip doubles every two years. In 1990, a typical CPU contained... | UltraInteract_sft | 461,779 |
[
{
"content": "Given $a = 2^{1.2}$, $b = \\left( \\frac {1}{2} \\right)^{-0.2}$, and $c = 2\\log_{5}2$, determine the relationship between $a$, $b$, and $c$.\n\nA: $c < b < a$\n\nB: $c < a < b$\n\nC: $b < a < c$\n\nD: $b < c < a$",
"role": "user"
},
{
"content": "Since $a = 2^{1.2} > 2^{1} = 2$, we h... | pxyyy/NuminaMath-CoT | 1,884,916 |
[
{
"content": "A positive number has two square roots, which are opposite to each other. For example, if $x^{2}=9$, then $x=3$ or $x=-3$. \n$(1)$ According to the meaning of the square roots mentioned above, find the solutions to the equation $\\left(x-1\\right)^{2}=49$. \n$(2)$ The relationship between the he... | pxyyy/NuminaMath-CoT | 1,833,767 |
[
{
"content": "The product of two natural numbers is 19. The sum of the reciprocal of its square is\nAnswer Choices: (A) 361/362 (B) 362/361 (C) 360/359 (D) 359/360 (E) None of these",
"role": "user"
},
{
"content": "Let's think about the multi-choice question.\nLet the number be a and b. Then,\nab =... | MathInstruct | 600,497 |
[
{
"content": "If the one-variable quadratic equation $x^{2}+x+m=0$ has two equal real roots with respect to $x$, then the value of the real number $m$ is ( )\n\nA: $-4$\n\nB: $-\\frac{1}{4}$\n\nC: $\\frac{1}{4}$\n\nD: $4$",
"role": "user"
},
{
"content": "For a quadratic equation $ax^2 + bx + c = 0$... | pxyyy/NuminaMath-CoT | 1,676,751 |
[
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nLet $b_1$, $b_2$, $b_3$, $c_1$, $c_2$, and $c_3$ be real numbers such that for every real number $x$, we have\n\\[\n x^6 - x^5 + x^4 - x^3 + x^2 - x + 1 = ... | UltraInteract_sft | 1,083,391 |
[
{
"content": "Given that $x > 0$, $y > 0$, and $$\\frac {1}{x}+ \\frac {1}{y}= \\frac {1}{2},$$ find the extremum of $xy$ among the following options:\nA: Maximum value 16\nB: Minimum value $$\\frac {1}{16}$$\nC: Minimum value 16\nD: Minimum value $$\\frac {1}{2}$$",
"role": "user"
},
{
"content": "... | pxyyy/NuminaMath-CoT | 1,779,268 |
[
{
"content": "Marta is weighing fruit at the grocery store. The apples weigh four ounces each and the oranges weight 3 ounces. Each plastic bag in the grocery store can hold 49 ounces of fruit before it splits. If Martha wants to put an equal number of apples and oranges in each bag, and she wants to buy 3 full... | MathInstruct | 582,049 |
[
{
"content": "If $a$, $b$, $c$ satisfy $c < b < a$ and $ac < 0$, then which of the following does not necessarily hold?\nA: $ab > ac$\nB: $cb^2 < ab^2$\nC: $bc > ac$\nD: $ac(a-c) < 0$",
"role": "user"
},
{
"content": "Given $c < b < a$ and $ac < 0$, we can deduce that $c < 0$ and $a > 0$, while $b$ ... | pxyyy/NuminaMath-CoT | 1,330,635 |
[
{
"content": "Rewrite the following sentence to make it more concise and engaging.\nThe storm with strong wind, heavy rainfall, and a lot of thunder and lightning caused disruptions in the daily routines of people and damaged a variety of infrastructure elements over many miles.",
"role": "user"
},
{
... | GPTeacher-General-Instruct | 865,878 |
[
{
"content": "What number has a 5:1 ratio to the number 10?\nAnswer Choices: (A) 22 (B) 50 (C) 99 (D) 72 (E) 12 Let's write a program.",
"role": "user"
},
{
"content": "number = 10\nratio = 5 / 1\nnumber_with_ratio = number * ratio\nprint(number_with_ratio)",
"role": "assistant"
}
] | MathInstruct | 702,616 |
[
{
"content": "Analyze the given text and answer: What problem does the speaker face?\nSometimes I feel like I'm stuck in a never-ending cycle of being unproductive. I can't seem to focus on my work, and I get easily distracted by things like social media and random internet browsing. This procrastination is sta... | GPTeacher-General-Instruct | 967,896 |
[
{
"content": "A family is keen on financial management. Starting from New Year's Day of 2001, they deposit a certain amount of a ten thousand yuan into a bank annually. With an annual interest rate of r, the deposit is made into a one-year fixed-term savings account, which automatically rolls over following the... | pxyyy/NuminaMath-CoT | 1,985,821 |
[
{
"content": "The charge for a single room at hotel P is 50 percent less than the charge for a single room at hotel R and some percent less than the charge for a single room at hotel G. The charge for a single room at hotel R is 80 percent greater than the charge for a single room at hotel G. What is the percen... | orca-math-word-problems-200k | 165,286 |
[
{
"content": "Make a list of elements from Group 16 of the periodic table.",
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{
"content": "Group 16 of the periodic table, also known as the chalcogens or the oxygen group, includes the following elements:\n\n1. Oxygen (O)\n2. Sulfur (S)\n3. Selenium (Se)\n4. Tellurium (Te)\n5. Pol... | GPT4-LLM-Cleaned | 1,145,564 |
[
{
"content": "Out of a certain number of students in a school, 325 play football, 175 play cricket, and 50 neither play football nor cricket. 90 students play both football and cricket. How many students are there in the school?",
"role": "user"
},
{
"content": "To find the total number of students ... | orca-math-word-problems-200k | 228,491 |
[
{
"content": "Write Python code to solve the task.\nThere are n cities in Berland. Each city has its index — an integer number from 1 to n. The capital has index r1. All the roads in Berland are two-way. The road system is such that there is exactly one path from the capital to each city, i.e. the road map look... | UltraInteract_sft | 23,594 |
[
{
"content": "A square is inscribed in a circle, and a rectangle is inscribed in the square. Another circle is circumscribed about the rectangle, and a smaller circle is tangent to three sides of the rectangle. The shaded area between the two larger circles is eight times the area of the smallest circle, which ... | pxyyy/NuminaMath-CoT | 1,790,262 |
[
{
"content": "Compose a Python method which is capable of accepting two separate integer sequences. Its purpose is to identify and subsequently return the lengthiest subsequence that displays a consistent ascending order. This ascending subsequence should be a common feature present in both of the original inpu... | Magicoder-Evol-Instruct-110K | 970,873 |
[
{
"content": "**p10.** Three rectangles of dimension $X \\times 2$ and four rectangles of dimension $Y \\times 1$ are the pieces that form a rectangle of area $3XY$ where $X$ and $Y$ are positive, integer values. What is the sum of all possible values of $X$ ?**p11.** Suppose we have a polynomial $... | pxyyy/NuminaMath-CoT | 2,147,820 |
[
{
"content": "Football tickets usually cost $\\$15$ each, but there is a special offer of 10% discount on each ticket if more than 6 tickets are bought. What is the maximum number of tickets Jane can buy with $\\$120$?",
"role": "user"
},
{
"content": "Let $n$ be the number of tickets Jane buys.\n1.... | pxyyy/NuminaMath-CoT | 1,375,713 |
[
{
"content": "Two distinct quadrilaterals are plotted on a geoboard. Quadrilateral A has vertices (0,0), (3,0), (3,2), and (0,3). Quadrilateral B has vertices (0,0), (3,0), (3,3), and (0,2). Determine the relationship between their areas and perimeters.\nA) The area of Quadrilateral A is greater than Quadrilate... | pxyyy/NuminaMath-CoT | 1,582,066 |
[
{
"content": "The sum of the number of boys and girls in a school is 900. If the number of boys is a certain number, then the number of girls becomes that same percentage of the total number of students. What is the number of boys in the school?",
"role": "user"
},
{
"content": "Let's denote the num... | orca-math-word-problems-200k | 1,027,289 |
[
{
"content": "I am JJR Tolkiens. Here is a story about a little dwarf who ran out of money and had to borrow from a warlock loan shark.\nDwarf: \"Please, I need the money to support my family. I'll give you anything!\"\nWarlock: \"",
"role": "user"
},
{
"content": "I want your firstborn child as col... | ShareGPT_V3_unfiltered_cleaned_split_no_imsorry | 340,948 |
[
{
"content": "Given vectors $\\overrightarrow{a}=(2, m)$ and $\\overrightarrow{b}=(1, -1)$. If $\\overrightarrow{b}$ is perpendicular to $(\\overrightarrow{a} + 2\\overrightarrow{b})$, find the value of the real number $m$.",
"role": "user"
},
{
"content": "To solve this problem, we need to use the ... | pxyyy/NuminaMath-TIR | 1,242,098 |
[
{
"content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?",
"role": "user"
},
{
"content": "Steve originally f... | orca-math-word-problems-200k | 130,853 |
[
{
"content": "A shopkeeper sells three different articles at different prices. The first article is sold at a profit percent as mentioned in the given problem, where if it were sold at 2/3rd of its selling price, there would be a loss of 15%. The second article is sold with a 30% profit margin on its cost price... | orca-math-word-problems-200k | 1,001,317 |
[
{
"content": "Each piece of candy in a store costs a whole number of cents. Casper has exactly enough money to buy either $12$ pieces of red candy, $14$ pieces of green candy, $15$ pieces of blue candy, or $n$ pieces of purple candy. A piece of purple candy costs $20$ cents. What is the smallest possible value ... | pxyyy/NuminaMath-CoT | 2,076,492 |
[
{
"content": "The line $y = 5$ intersects the graph of $y = 5x^2 + 2x - 2$ at the points $C$ and $D$. The distance between $C$ and $D$ can be written as $\\frac{\\sqrt{p}}{q}$, where $p$ and $q$ are positive integers that do not share any factors other than one. Find the value of $p - q$.",
"role": "user"
... | pxyyy/NuminaMath-CoT | 1,464,122 |
[
{
"content": "Given a type of food, explain how to cook it.\nLasagna",
"role": "user"
},
{
"content": "Lasagna is a classic Italian dish that involves layering sheets of pasta with a variety of ingredients such as cheese, sauce, and vegetables or meat. Here is a simple recipe to make a classic lasag... | GPT4-LLM-Cleaned | 1,218,127 |
[
{
"content": "Prove that \\(\\frac{1}{2} \\cdot \\frac{3}{4} \\cdot \\frac{5}{6} \\cdot \\frac{7}{8} \\cdots \\frac{99}{100} < \\frac{1}{10}\\).",
"role": "user"
},
{
"content": "\n1. We start by considering the product $\\frac{1}{2} \\cdot \\frac{3}{4} \\cdot \\frac{5}{6} \\cdot \\frac{7}{8} \\cdot... | pxyyy/NuminaMath-CoT | 1,540,400 |
[
{
"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.\nJoe and JoAnn each bought 12 ounces of coffee in a 16-ounce cup. Joe drank 2 ounces ... | UltraInteract_sft | 1,001,790 |
[
{
"content": "The Shanghai World Expo Theme Pavilion has installed the world's largest solar panel to date, with an area of 30,000 square meters. Express this figure in scientific notation.",
"role": "user"
},
{
"content": "**Analysis:** The form of scientific notation is $a \\times 10^n$, where $1 ... | pxyyy/NuminaMath-CoT | 1,941,576 |
[
{
"content": "Given a line $a$ and two different planes $\\alpha$ and $\\beta$, with $a \\perp \\alpha$ and $a \\perp \\beta$, what is the positional relationship between $\\alpha$ and $\\beta$?",
"role": "user"
},
{
"content": "If $a \\perp \\alpha$ and $a \\perp \\beta$, then planes $\\alpha$ and ... | pxyyy/NuminaMath-CoT | 2,120,972 |
[
{
"content": "There are five types of gifts with prices 2 yuan, 5 yuan, 8 yuan, 11 yuan, and 14 yuan, and five types of packaging boxes with prices 3 yuan, 6 yuan, 9 yuan, 12 yuan, and 15 yuan. One gift is paired with one packaging box. How many different prices are possible?",
"role": "user"
},
{
"... | pxyyy/NuminaMath-TIR | 1,277,360 |
[
{
"content": "render the following in c++:\nscript\nconst intersection = (pairOfIntegers1, pairOfIntegers2) => {\n const isPrime = num => {\n for(let i = 2; i <= Math.sqrt(num); i++)\n if(num % i === 0) return false; \n return num > 1;\n }\n\n let start = Math.max(pairOfIntegers1[0], pairOfInteger... | Magicoder-Evol-Instruct-110K | 627,367 |
[
{
"content": "On a recent math test, $15\\%$ of the students scored $60$ points, $20\\%$ scored $75$ points, $25\\%$ scored $85$ points, $10\\%$ scored $92$ points, and the rest scored $98$ points. What is the difference between the mean and the median score on this test?\nA) 0.85\nB) 1.15\nC) 2.15\nD) 3.15",
... | pxyyy/NuminaMath-CoT | 1,803,772 |
[
{
"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.\nFor what values of $z$ is $z^2-40z+340\\le 4$? Express your answer in interval notatio... | UltraInteract_sft | 38,233 |
[
{
"content": "In a set of 5 black balls and 3 red balls, how many selections of 5 balls can bemade such that at least 3 of them are black balls?\nAnswer Choices: (A) 24 (B) 26 (C) 46 (D) 49 (E) 50 Let's program in Python in the response.",
"role": "user"
},
{
"content": "import math\n\nprint(answers... | MathInstruct | 69,490 |
[
{
"content": "You will be given a list of instruction consisting of different actions. For each action you need to output either 'Can do this', 'Cannot do this' or 'Does not make sense'.\nInstructions: ['sit down', 'look up at the sky', 'touch your nose with your right hand'].",
"role": "user"
},
{
... | GPT4-LLM-Cleaned | 1,117,993 |
[
{
"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.\nfor all real numbers v , an operation is defined by the equation v * = v - v / 3 . if ... | UltraInteract_sft | 1,079,549 |
[
{
"content": "Let $p,$ $q,$ $r,$ and $s$ be the roots of \\[x^4 + 6x^3 + 11x^2 + 6x + 3 = 0.\\] Find the value of \\[\\frac{1}{pq} + \\frac{1}{pr} + \\frac{1}{ps} + \\frac{1}{qr} + \\frac{1}{qs} + \\frac{1}{rs}.\\]",
"role": "user"
},
{
"content": "Express the given sum of fractions with common deno... | pxyyy/NuminaMath-CoT | 1,766,395 |
[
{
"content": "Determine the truth of the following propositions and write their negations.\n(1) There exists a quadrilateral whose diagonals are perpendicular to each other.\n(2) For all $x \\in \\mathbb{N}$, $x^3 > x^2$.",
"role": "user"
},
{
"content": "(1) To negate the proposition, change \"exis... | pxyyy/NuminaMath-CoT | 1,319,320 |
[
{
"content": "2. The symbol \\( n! \\) represents the product of the positive integers from 1 to \\( n \\). That is, \\( n! = n \\times (n-1) \\times (n-2) \\times \\cdots \\times 3 \\times 2 \\times 1 \\) (read as \"n factorial\"). For example, the value of \\( 4! \\) is 24 because \\( 4 \\times 3 \\times 2 \\... | pxyyy/NuminaMath-CoT | 1,891,472 |
[
{
"content": "As a software developer responsible for confidential data management, you opt to secure the data using C# code. In compliance with your company's strict privacy policy, you decide to encrypt the data to prevent potential breaches. Your research led you to choose a third-party library that's highly... | WizardLM_evol_instruct_V2_196k | 78,743 |
[
{
"content": "The supplement of an angle is \\(2^\\circ\\) less than three times the angle. What is the number of degrees in the measure of the angle?",
"role": "user"
},
{
"content": "Let the measure of the angle be \\(x\\). The expression for the supplement being \\(2^\\circ\\) less than three tim... | pxyyy/NuminaMath-CoT | 2,149,882 |
[
{
"content": "To what extent has PlayOne Games capitalized on its social media footprint to boost growth and prosperity in the gaming sector? Could you elaborate on the unique approaches and techniques adopted by the corporation to interact with its audience through Facebook and Instagram? How have PlayOne Game... | WizardLM_evol_instruct_V2_196k | 30,946 |
[
{
"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 square root of $x$ is greater than 3 and less than 4. How many integer values of $x$ satisfy this condition?",
"role": "user"
},
{
"content"... | UltraInteract_sft | 386,688 |
[
{
"content": "Bob sent a package via USPS and a package via UPS. The package he sent via UPS arrived in 14 days and the one via USPS arrived in 10 days. Which parcel service was slower? \"Option 1\": USPS was slower, \"Option 2\" :UPS was slower Please respond by writing a program in Python.",
"role": "us... | MathInstruct | 567,523 |
[
{
"content": "Given a line $l$ passes through the point $P(1,2)$, and the sine of its inclination angle $\\alpha$ is $\\frac{4}{5}$, then the equation of $l$ is ( )\nA: $4x-5y+6=0$\nB: $y-2=\\pm \\frac{3}{4}(x-1)$\nC: $3x-4y+5=0$\nD: $y=\\pm \\frac{4}{3}(x-1)+2$",
"role": "user"
},
{
"content": ... | pxyyy/NuminaMath-CoT | 1,883,940 |
[
{
"content": "The Income of a man increase consistently by 2% per year. If his present income is Rs. 12000 then what will his income be after 1 year ?\nAnswer Choices: (A) 12040 (B) 12140 (C) 12240 (D) 12340 (E) 12440 Please write a program to solve it",
"role": "user"
},
{
"content": "present_incom... | MathInstruct | 1,109,381 |
[
{
"content": "Lefty scores 20 points in a game and his teammate Righty scores some proportion of Lefty's points. Their other teammate scores 6 times as much as Righty does. The average points scored per player on the team is 30. What is the ratio of Righty's points to Lefty's points?",
"role": "user"
},
... | orca-math-word-problems-200k | 762,959 |
[
{
"content": "In Dr. Strange's laboratory, there are some bacteria. Each day, 11 bacteria are eliminated, and each night, 5 bacteria are added. If there are 50 bacteria on the morning of the first day, on which day will all the bacteria be eliminated?",
"role": "user"
},
{
"content": "### Problem:\n... | pxyyy/NuminaMath-CoT | 2,036,415 |
[
{
"content": "The solution set of the inequality $x^2+ax+b\\leq0$ is $\\{x|-1\\leq x\\leq 3\\}$. Then $ab=$ （ ）\n\nA: -3 \nB: 3 \nC: -6 \nD: 6",
"role": "user"
},
{
"content": "Since the solution set of the inequality $x^2+ax+b\\leq0$ is $\\{x|-1\\leq x\\leq 3\\}$, \nit follows that -1 and 3 are... | pxyyy/NuminaMath-CoT | 1,946,579 |
[
{
"content": "The average of 6 observations is 16. A new observation is included and the new average is decreased by a certain amount. The seventh observation is 9. By how much did the average decrease when the seventh observation was included?",
"role": "user"
},
{
"content": "The average of the 6 ... | orca-math-word-problems-200k | 1,051,516 |
[
{
"content": "How many hours are in a leap year, considering the extra day?",
"role": "user"
},
{
"content": "A regular year has 365 days, and a leap year has an extra day, making it 366 days. There are 24 hours in a day. To find the number of hours in a leap year, you multiply the number of days by... | pxyyy/NuminaMath-CoT | 1,910,225 |
[
{
"content": "Write Python code to solve the task.\nShil, Aditya and Utkarsh go to a candy shop. There are N candies present in the shop, which are indexed from 1 to N. All three of them select one candy to eat.\n\nHowever, a candy tastes delicious if and only if, the index of candy chosen by Shil is strictly l... | UltraInteract_sft | 708,919 |
[
{
"content": "Rewrite the following statement using more formal language:\nHey, I am a bit stressed out about tomorrow's presentation. Could you help me by giving me some pointers and tips to make it good?",
"role": "user"
},
{
"content": "I am feeling somewhat anxious regarding the upcoming present... | GPTeacher-General-Instruct | 682,608 |
[
{
"content": "On June 23, 2020, China successfully launched the 55th navigation satellite of the Beidou system, which is also the last global networking satellite of the Beidou-3 system. This satellite is stationed 36,000 kilometers above us. Expressing 36,000 in scientific notation is ( ).\n\nA: $360\\times 10... | pxyyy/NuminaMath-CoT | 1,394,442 |
[
{
"content": "I want to create forecasting using darts time series library",
"role": "user"
},
{
"content": "Great, Darts is a Python library for time series forecasting that provides a variety of models and tools for working with time series data. Here are the general steps for creating a forecasti... | ShareGPT_V3_unfiltered_cleaned_split_no_imsorry | 576,965 |
[
{
"content": "a cistern 8 m long and 4 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :",
"role": "user"
},
{
"content": "To calculate the total area of the wet surface of the cistern, we need to consider all the surfaces that are in contact with the water. T... | orca-math-word-problems-200k | 935,869 |
[
{
"content": "What factors contribute to the perception of Monday as the most strenuous day of the workweek, and how can they vary between different job sectors? In addition to this, are there any particular types of professions that are more likely to encounter challenges during the beginning of their work wee... | WizardLM_evol_instruct_V2_196k | 205,703 |
[
{
"content": "What is the sum of all integer values of $n$ such that $\\frac{30}{2n - 1}$ is an integer?",
"role": "user"
},
{
"content": "The expression $2n - 1$ must be an odd divisor of 30 for the fraction to yield an integer. The odd divisors of 30 are 1, 3, 5, and 15. We find $n$ for each:\n\n1... | pxyyy/NuminaMath-CoT | 1,524,738 |
[
{
"content": "John takes 3 days off of streaming per week. On the days he does stream, he streams for 4 hours at a time and makes $10 an hour. How much does he make a week?",
"role": "user"
},
{
"content": "John streams for 7 - 3 = 4 days a week.\n\nHe streams for 4 hours a day, so in a week he st... | orca-math-word-problems-200k | 1,207,393 |
[
{
"content": "Given distinct points $A$, $B$, and $C$ on line $e$ in this order, find the locus of points $P$ such that the incircle of triangle $ACP$ touches line $e$ at point $B$.",
"role": "user"
},
{
"content": "\n1. **Objective and Initial Assumption:**\n - We need to find the locus of points... | pxyyy/NuminaMath-CoT | 2,055,168 |
[
{
"content": "On a table, 1000 cards are arranged in a circle. Each card has a different positive integer written on it. Initially, Vasya picks one card and removes it from the table. He then repeatedly performs the following operation: if the last card taken has the number $k$ on it, he counts $k$ cards clockw... | pxyyy/NuminaMath-CoT | 1,487,212 |
[
{
"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.\na 290 meter long train running at the speed of 120 kmph crosses another train running ... | UltraInteract_sft | 136,773 |
[
{
"content": "In the arithmetic sequence $\\{a\\_n\\}$, $a\\_2=10$, $a\\_4=18$, find the common difference $d=$ \\_\\_\\_\\_\\_\\_.",
"role": "user"
},
{
"content": "To solve the problem of finding the common difference \\( d \\) in the arithmetic sequence given \\( a_2 = 10 \\) and \\( a_4 = 18 \\)... | pxyyy/NuminaMath-TIR | 1,252,994 |
[
{
"content": "Given proposition $p$: For $\\forall x \\in \\mathbb{R}$, there is $\\sqrt{3}\\sin x + \\cos x > m$, and proposition $q$: $\\exists x \\in \\mathbb{R}$, such that $x^{2} + mx + 1 \\leqslant 0$. If \"$p \\lor q$\" is a true proposition, and \"$p \\land q$\" is a false proposition, find the range of... | pxyyy/NuminaMath-CoT | 1,759,631 |
[
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nin a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 77 boys in the camp that are from school a ... | UltraInteract_sft | 1,236,072 |
[
{
"content": "Do you know a well used method how to calculate the PD of private companies using the Merton Model.\nThe main challenges I am facing is to get the appropriate volatility of the assets and the drift.\nThank you in advance for your inputs.",
"role": "user"
},
{
"content": "In theory, you... | Magicoder-Evol-Instruct-110K | 648,220 |
[
{
"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.\nCalculate molecular weight of Aluminum carbonate",
"role": "user"
},
{
"co... | UltraInteract_sft | 1,169,768 |
[
{
"content": "Answer the following question: I am trying to decide whether it's worth it to invest in this film proposal. Can you help me answer a few questions? If you can't, please say \"No I can't\". Question: What words are scrawled on the wall in blood? Movie title: You're Next Movie plot: The film opens ... | SlimOrca | 923,742 |
[
{
"content": "How would you modify the given Swift code to implement the Fibonacci sequence iteratively instead of recursively? Additionally, how would you add error handling to ensure that the function only accepts non-negative integers as input?\n\nPresentation content:\r\n\r\n1. Introduction to pair and mob ... | WizardLM_evol_instruct_V2_196k | 840,459 |
[
{
"content": "Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and some percent fescue. If a mixture of X and Y contains 32 percent ryegrass, then 46.67 percent of the weight of this mixture is X. What percent of seed mixture Y is fescue?",
"rol... | pxyyy/NuminaMath-CoT | 1,637,457 |
[
{
"content": "7 members have to be selected from 12 men and 3 women ,Such that no two women can come together .In how many ways we can select them ?\nAnswer Choices: (A) 12c6*3c1 + 12c7 (B) 12c6*3c1 + 2c7 (C) 1c6*3c1 + 12c7 (D) 11c6*3c1 + 12c7 (E) 12c6*3c1 + 11c7",
"role": "user"
},
{
"content": "Le... | MathInstruct | 1,077,214 |
[
{
"content": "Based on this conversation, infer and describe the relationship between the two people.\nPerson A: Are you ready for mom's birthday party tonight?\nPerson B: Yeah, I just picked up the cake and flowers she likes. I'm excited to see her reaction!\nPerson A: Great, let's make sure to take lots of pi... | GPTeacher-General-Instruct | 229,794 |
[
{
"content": "In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ?\nAnswer Choices: (A) 6 (B) 10 (C) 8 (D) 12 (E) 14",
"role": "user"
},
{
"content": "Let's think about the multi-choice question step by step.... | MathInstruct | 806,280 |
[
{
"content": "What is the smallest two-digit whole number, the product of whose digits is 12?",
"role": "user"
},
{
"content": "To solve this, we need to find the digits that multiply to 12. The possible factor pairs of 12 that can be digits (1 through 9) are:\n- $1 \\cdot 12$ (not usable since 12 i... | pxyyy/NuminaMath-CoT | 1,988,779 |
[
{
"content": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. If $b^2 + c^2 - a^2 = bc$, then $A$ equals ($\\,\\,$).\nA: 30°\nB: 60°\nC: 120°\nD: 150°",
"role": "user"
},
{
"content": "Given that $b^2 + c^2 - a^2 - bc = 0$, we can derive that $... | pxyyy/NuminaMath-CoT | 1,649,528 |
[
{
"content": "A certain factor and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ^ 2 ) x ( 7 ^ 3 ). The smallest possible positive value of n is 75. What is the other factor?",
"role": "user"
},
{
"content": "Let's first simplify the given expression for the factors of \\( n \\times (2^5) \\times (6^2) \... | pxyyy/NuminaMath-CoT | 1,478,346 |
[
{
"content": "\"x > 1\" is a ( ) condition for \"x^2 + 1 > 2x\".\nA: Sufficient but not necessary\nB: Necessary but not sufficient\nC: Necessary and sufficient\nD: Neither sufficient nor necessary",
"role": "user"
},
{
"content": "If $x^2 + 1 > 2x$, we can derive $x^2 - 2x + 1 = (x - 1)^2 > 0$, whic... | pxyyy/NuminaMath-CoT | 1,488,041 |
[
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nSamuel has $5, $10, and $20 bills which amount to $150 in his wallet. His $10-bills amount to $50, and he has 4 $20-bills. How many bills does Samuel have i... | UltraInteract_sft | 489,015 |
[
{
"content": "In trapezoid ABCD, where AD is parallel to BC, and MN is the midline, if AD = 2 cm and MN = 6 cm, then BC = .",
"role": "user"
},
{
"content": "Since $MN = \\frac{1}{2} (AD + BC)$,\n\nTherefore, $BC = 2 \\times MN - AD = 2 \\times 6 - 2 = 10$ cm.\n\nHence, the answer is $\\boxed{10 \\t... | pxyyy/NuminaMath-CoT | 1,924,559 |
[
{
"content": "James solved the equation $|x-3| = 4$. Meanwhile, Lisa solved a quadratic equation of the form $x^2 + bx + c = 0$ that had the same two solutions for $x$ as James's equation. What is the ordered pair $(b, c)$?",
"role": "user"
},
{
"content": "First, solve James's equation. For $x-3$ b... | pxyyy/NuminaMath-CoT | 1,970,491 |
[
{
"content": "As a seasoned professional in supply chain management, I am looking for a multifaceted and sophisticated approach to bolster the resilience of my company's supply chain. To attain this objective, I require your guidance in performing an exhaustive analysis of the end-to-end supply chain, encompass... | WizardLM_evol_instruct_V2_196k | 59,743 |
[
{
"content": "The function $f$ is defined on positive integers as follows:\n\\[f(n) = \\left\\{\n\\begin{array}{cl}\nn + 10 & \\text{if $n < 10$}, \\\\\nf(n - 5) & \\text{if $n \\ge 10$}.\n\\end{array}\n\\right.\\]Find the maximum value of the function. Let's write a Python program to solve it.",
"role": "u... | MathInstruct | 581,367 |
[
{
"content": "Find the distance between the vertices of the hyperbola\n\\[\\frac{x^2}{99} - \\frac{y^2}{36} = 1.\\]",
"role": "user"
},
{
"content": "We read that $a^2 = 99,$ so $a = \\sqrt{99} = 3 \\sqrt{11}.$ Therefore, the distance between the vertices is $2a = \\boxed{6 \\sqrt{11}}.$. The answe... | MathInstruct | 1,057,429 |
[
{
"content": "What is the number of distinct isomorphism classes of groups of order 8? Show that every group of order 8 is isomorphic to one of the cyclic group C8, the quaternion group Q8, or the dihedral group D4.",
"role": "user"
},
{
"content": "There are 5 distinct isomorphism classes of groups... | MathInstruct | 928,128 |
[
{
"content": "Given a set of data $a_{1}$, $a_{2}$, $a_{3}$, $a_{4}$, $a_{5}$ with an average of $8$, what is the average of another set of data $a_{1}+10$, $a_{2}-10$, $a_{3}+10$, $a_{4}-10$, $a_{5}+10$?\n\nA: $6$\n\nB: $8$\n\nC: $10$\n\nD: $12$",
"role": "user"
},
{
"content": "To solve this probl... | pxyyy/NuminaMath-CoT | 1,356,561 |
[
{
"content": "Solve the following equations using appropriate methods: \n(1) $x(x-2)+x-2=0$; \n(2) $2x^{2}+5x+3=0$.",
"role": "user"
},
{
"content": "**Solution for Equation (1):**\n\nGiven: $x(x-2)+x-2=0$\n\nStep 1: Simplify the equation by distributing and combining like terms.\n\\[\nx^2 - 2x + ... | pxyyy/NuminaMath-CoT | 1,364,120 |
[
{
"content": "Consider the sequence $ \\{a_n\\}_{n\\geq1}$ defined as follows: $ a_1 \\equal{} 1$ , $ a_{2k} \\equal{} 1 \\plus{} a_k$ and $ a_{2k \\plus{} 1} \\equal{} \\frac {1}{a_{2k}}$ for every $ k\\geq 1$ . Prove that every positive rational number appears on the sequence $ \\{a_n\\}$ exactly on... | pxyyy/NuminaMath-CoT | 1,562,068 |
[
{
"content": "Swapping the first and third digits of a three-digit number increases the number by 198, and swapping the second and third digits increases the number by 9. The sum of the squares of the digits is 2 more than four times their sum. What is this number?",
"role": "user"
},
{
"content": "... | pxyyy/NuminaMath-CoT | 1,767,762 |
[
{
"content": "Mrs. Thomson received an incentive worth $240. She spent 1/3 of the money on food and 1/5 of it on clothes. Then, she put a fraction of the remaining money in her savings account and saved $84. What fraction of the remaining money did she save?",
"role": "user"
},
{
"content": "First, ... | orca-math-word-problems-200k | 885,438 |
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