messages listlengths 2 2 | conversation_id int64 0 2k |
|---|---|
[
{
"content": "The denominator of a number is 4 less than the numerator. If 6 is added to the numerator, it becomes a certain multiple of the denominator. The denominator is 5. What is the multiple of the denominator that the numerator becomes when 6 is added to it?",
"role": "user"
},
{
"content": "... | 1,629 |
[
{
"content": "Nikka has a 100 stamp collection. Thirty-five percent of her stamps are Chinese, 20% are US stamps, and the rest are Japanese stamps. How many Japanese stamps does Nikka have? Please respond by writing a program in Python.",
"role": "user"
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{
"content": "<think>\nOkay, let's see. Nik... | 285 |
[
{
"content": "In triangle $ABC,$ we have $\\angle C = 3\\angle A,$ $a = 27,$ and $c = 48.$ What is $b$?\n\nNote: $a$ is the side length opposite $\\angle A,$ etc.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the length of side b in triangle ABC. The given information is that a... | 1,267 |
[
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nwhat are the last two digits of ( 301 * 402 * 502 * 604 * 646 * 547 * 448 * 349 ) ^ 2",
"role": "user"
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{
"content": "<think>\nOkay, so I need... | 747 |
[
{
"content": "A competition has racers competing on bicycles and tricycles to win a grand prize of $4000. If there are 40 people in the race, and 3/5 of them are riding on bicycles, how many wheels do the bicycles and tricycles in the race have combined?",
"role": "user"
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{
"content": "<think>\nOk... | 390 |
[
{
"content": "Given a surface with the equation $x^2 + 2y^2 - 3z^2 + 4xy + 6yz = 12$, find the principal curvatures at the point $(-2,1,1)$.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the principal curvatures at the point (-2, 1, 1) on the surface defined by the equation x² +... | 166 |
[
{
"content": "Write Python code to solve the task.\nRead problems statements in Mandarin Chinese, Russian and Vietnamese as well. \n\nXenny reverse-engineered all the binaries released by the International Security Agency (ISA)\nduring summer vacation just to pass time. As a reward, the ISA gave him infinite By... | 656 |
[
{
"content": "Suppose you are given the function f(x) = x^2 + 4x - 5. Using the conjugate gradient method, find the minimum value of the function and the value of x that produces this minimum, starting from the initial guess x = 2.",
"role": "user"
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{
"content": "<think>\nOkay, so I need to find t... | 260 |
[
{
"content": "Jack and Jill work at a hospital with 3 other workers. For an internal review, 2 of the 5 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?",
"role": "user"
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{
"content": "<think>\nOkay, so I need to figure out the prob... | 1,793 |
[
{
"content": "What is the constant term in the expansion of $\\left(\\sqrt{x}+\\dfrac5x\\right)^{9}$?",
"role": "user"
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{
"content": "<think>\nOkay, so I need to find the constant term in the expansion of \\(\\left(\\sqrt{x} + \\dfrac{5}{x}\\right)^9\\). Hmm, let me think. I remember that when exp... | 1,386 |
[
{
"content": "Raja's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees.\nAnswer Choi... | 239 |
[
{
"content": "A circle with a radius of 2 units has its center at $(0, 0)$. A circle with a radius of 7 units has its center at $(15, 0)$. A line tangent to both circles intersects the $x$-axis at $(x, 0)$ to the right of the origin. What is the value of $x$? Express your answer as a common fraction.",
"rol... | 1,425 |
[
{
"content": "Sydney and Conner are having a three day rock collecting contest. Before they start, Sydney has 837 rocks and Conner has 723. On day one, Sydney collects some rocks and Conner collects 8 times as many. On day two Sydney rests and Conner collects 123. On the third day, Sydney collects twice as many... | 1,885 |
[
{
"content": "A round-robin tennis tournament consists of each player playing every other player exactly once. How many matches will be held during an 8-person round-robin tennis tournament?",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to figure out how many matches are there in an 8-... | 1,288 |
[
{
"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.\nLet $x$ and $y$ be real numbers such that\n\\[xy - \\frac{x}{y^2} - \\frac{y}{x^2} = 3... | 697 |
[
{
"content": "if a and b get profits of rs . 60,000 and rs . 6,000 respectively at the end of year then ratio of their investments are ? Let's write a program.",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem is about finding the ratio of investments between two people, A and ... | 250 |
[
{
"content": "Calculate the average of all the numbers between 18 and 57 which are divisible by 7 but not divisible by any other prime number except 7. Then, find the sum of the square roots of those numbers.",
"role": "user"
},
{
"content": "<think>\nOkay, let's tackle this problem step by step. Th... | 1,799 |
[
{
"content": " \"statement 1\": Alyssa picked 42.0 pears from the pear tree and Nancy sold 17.0 of the pears , \"statement 2\" :21.0 pears were left , \"options: \" Entailment or contradiction? Let's write a Python program.",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. I need to figure... | 48 |
[
{
"content": "Brian loves watching animal videos online. He watches a 4-minute video of cats. He then watches a video twice as long as the cat video involving dogs. He finishes up his video watching for the day by watching a video on gorillas that's twice as long as the previous two videos combined. How man... | 282 |
[
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nTrust, which cannot be sustained in the absence of mutual respect, is essential to any long-lasting relationship, personal or professional. However, pe... | 1,071 |
[
{
"content": "A bathroom had a length of 4 feet and a certain width. The width of the bathroom is 2 feet. What is the total area of the bathroom?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem is about finding the total area of a bathroom. The given dimensions are a length o... | 1,625 |
[
{
"content": "Gretchen read that you should spend 10 minutes walking for every 90 minutes you spend sitting. If Gretchen spends 6 hours working at her desk, how long will she spend walking?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. Gretchen read that you should spend 10 minutes wal... | 347 |
[
{
"content": "A can do a piece of work in some days, and B can do the same work in 40 days. They began to do the work together but A leaves after 9 days and then B completed the remaining work in 23 days. How many days does it take for A to complete the work alone?",
"role": "user"
},
{
"content": "... | 1,647 |
[
{
"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 Professor Plum's biology class there are 40 students. Of those students, 80 percent have puppies. Of those who have puppies, 25% also have parrots. How m... | 1,044 |
[
{
"content": "What is the area of a square field whose diagonal of length 20 m?\nAnswer Choices: (A) 10 sq m (B) 200 sq m (C) 400 sq m (D) 500 sq m (E) 156 sq m",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the area of a square field where the diagonal is 20 meters. Hmm, let's s... | 448 |
[
{
"content": "the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 61 kg . what is the correct weight ?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem is about finding the correct averag... | 1,589 |
[
{
"content": "Write Python code to solve the task.\nYou are given a huge integer a consisting of n digits (n is between 1 and 3 ⋅ 10^5, inclusive). It may contain leading zeros.\n\nYou can swap two digits on adjacent (neighboring) positions if the swapping digits are of different parity (that is, they have diff... | 1,005 |
[
{
"content": "Write Python code to solve the task.\n撰寫一個演算法來連接兩個字串。\n字串1: \"Hello,\"\n字串2: \"World!\"",
"role": "user"
},
{
"content": "<think>\n嗯，我现在得写一个Python算法来连接两个字符串。题目给出的字符串1是\"Hello,\"，字符串2是\"World!\"。那应该怎么做呢？\n\n首先，我得回忆一下Python中字符串连接的方法。记得在Python里，可以用加号+来连接两个字符串。比如，str1 + str2就会把两个字符串连起来。那这样... | 1,021 |
[
{
"content": "a man can swim in still water at 7.5 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem is about a man who can swim at 7.5 km/h in still water. When he swims upstream, ... | 1,870 |
[
{
"content": "Jack took a 3-hour bike ride. In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?\nAnswer Choices: (A) 54.0 ... | 47 |
[
{
"content": "Write Python code to solve the task.\nCreate a Python generator that returns numbers from a given list.\n[1,3,5,7,9]",
"role": "user"
},
{
"content": "<think>\nOkay, I need to create a Python generator that returns numbers from the given list [1,3,5,7,9]. Hmm, let's think about how gen... | 935 |
[
{
"content": "If 6 / w + 6 / x = 6 / y and wx = y, what is the average (arithmetic mean) of w and x?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. I need to find the average of w and x, which is (w + x)/2. But to do that, I probably need to find w + x first. The problem gives me two eq... | 1,679 |
[
{
"content": "Tim sleeps 6 hours per day for 5 days a week and 10 hours a day for the other 2. How much total sleep does he get?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem is about Tim's sleep schedule. He sleeps 6 hours per day for 5 days a week and 10 hours a day for ... | 214 |
[
{
"content": "Compute $\\cos 0^\\circ$.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to compute cos 0 degrees. Hmm, let's see. I remember that cosine is one of the trigonometric functions, right? It relates the adjacent side of a right triangle to the hypotenuse. But wait, when the ang... | 80 |
[
{
"content": "Steven is preparing a shipment of boxes to deliver to a customer for his chemical supply business. The products are very delicate and must be carefully packed, so partially filled boxes can’t be shipped. Steven has three trucks that can be sent on each delivery. Each truck can carry a load of no m... | 1,277 |
[
{
"content": "Mohan purchased 15 kgs of rice at the rate of Rs.26 per kg and 15 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?\nAnswer Choices: (A) A) Rs.780 (B) B) Rs.760 (C) C) Rs.700 (D) D) Rs.595 (E) None of these",
"role": "user"
},
{
"conte... | 263 |
[
{
"content": "(3 x 10^3) + (2 x 10^2) + (4 x 10) =\nAnswer Choices: (A) 302400 (B) 32400 (C) 30240 (D) 3240 (E) 324",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. I need to solve this math problem: (3 x 10^3) + (2 x 10^2) + (4 x 10). The answer choices are A through E, with numbers rang... | 175 |
[
{
"content": "A company hires a manager to make investment decisions on their behalf. The manager has two investment options: Option A with a cost of $10,000 and an expected return of $50,000 or Option B with a cost of $5,000 and an expected return of $20,000. However, the manager's incentive is tied to the com... | 435 |
[
{
"content": "Suppose you have a block cipher that operates on 64-bit blocks and uses a key of length 128 bits. If you encrypt a message of length 192 bits using this cipher, how many blocks of ciphertext will be produced?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem is ab... | 107 |
[
{
"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 $f : \\mathbb{R} \\to \\mathbb{R}$ be a function such that $f(1) = 1$ and\n\\[f(xy + f(x)) = xf(y) + f(x)\\]for all real numbers $x$ and $y.$\n\nLet $n$... | 766 |
[
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nEnvironmentalist: Pollution from gasoline burned by cars contributes to serious environmental problems. But the cost of these problems is not reflected... | 717 |
[
{
"content": "How many odd integers are there between $\\frac{17}{4}$ and $\\frac{35}{2}?$",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to figure out how many odd integers are between 17/4 and 35/2. Hmm, let me start by converting those fractions to decimals to get a better sense of th... | 1,268 |
[
{
"content": "of the 200 stamps in a collection , 90 are foreign and 60 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. I need to figur... | 1,901 |
[
{
"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.\nGiven the following table:\nTable title: Track team sizes (number of members)\nTable: ... | 599 |
[
{
"content": "Write Python code to solve the task.\nLimak is a grizzly bear who desires power and adoration. He wants to win in upcoming elections and rule over the Bearland.\n\nThere are n candidates, including Limak. We know how many citizens are going to vote for each candidate. Now i-th candidate would get ... | 785 |
[
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nwhat is the prime factors ’ number of 48 ?",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the prime factors of 48 and then f... | 651 |
[
{
"content": "What is the units digit of 32! + 50! + 2! + 4!?\nAnswer Choices: (A) 0 (B) 2 (C) 4 (D) 6 (E) 8",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the units digit of 32! + 50! + 2! + 4!. Hmm, units digit... that's the last digit of each number when you add them up. Let m... | 483 |
[
{
"content": "Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 45 people bought tickets to the concert, what was the total revenue from ticket sales?\nAnswer Choices: (A) $600 (B) $760 (C) $850... | 70 |
[
{
"content": "Cynthia has three children whose ages add up to 35. Matthew is two years older than Rebecca and four years younger than Freddy. How many years old is Freddy?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. Cynthia has three children whose ages add up to 35. Their names are ... | 1,318 |
[
{
"content": "Violet has 3 more than twice as many nails as Tickletoe. If Violet has 27 nails, how many nails do they have together?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem says Violet has 3 more than twice as many nails as Tickletoe. And Violet has 27 nails. We need ... | 1,331 |
[
{
"content": "The value of $2x+10$ is half of the value of $5x+30$. What is the value of $x$?",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to solve this equation where the value of 2x + 10 is half of the value of 5x + 30. Hmm, let me try to translate that into an algebraic equation. \n... | 1,473 |
[
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nAn electric utility has determined that a new power plant is needed and has decided to build either a natural gas-fired plant or a waste-to-energy plan... | 795 |
[
{
"content": "Write Python code to solve the task.\nThe History of Magic is perhaps the most boring subject in the Hogwarts school of Witchcraft and Wizardry. Harry Potter is usually asleep during history lessons, and his magical quill writes the lectures for him. Professor Binns, the history of magic teacher, ... | 581 |
[
{
"content": "What is the positive integer $N$ for which $$ 22^2 \\times 55^2 = 10^2 \\times N^2 \\ ? $$",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find a positive integer N such that 22 squared times 55 squared equals 10 squared times N squared. Hmm, let me write that down to vis... | 1,416 |
[
{
"content": "Determine the Fourier series for the function f(x) = x-1 for x∈[0,2π), with a jump discontinuity at x=π. Find the average value of f(x).",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the Fourier series for the function f(x) = x - 1 on the interval [0, 2π), and ther... | 343 |
[
{
"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.\nIf $200\\%$ of $x$ is equal to $50\\%$ of $y$, and $x = 16$, what is the value of $y$?... | 797 |
[
{
"content": "Janet is trying to decide whether to quit her job and start freelancing. She works 40 hours a week at her current job, getting paid $30/hour. As a freelancer, she'd work an average of 30 to 50 hours a week, but her pay rate would vary depending on the projects and clients. For the first month, she... | 1,786 |
[
{
"content": "A person puts $5600 in a bank for two years. Each year he earns interest of 7% of the original amount deposited. How much will this person have in the bank after two years?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem is about a person who deposits $5600 in a... | 1,512 |
[
{
"content": "In a triangle with angles A, B, and C, A is 60 degrees, and B is two times as big as C. Calculate the angle of B.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the measure of angle B in a triangle where angle A is 60 degrees, and angle B is two times as big as angl... | 1,459 |
[
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFind all solutions to the inequality \\[\\frac{x}{x-1} + \\frac{x+2}{2x} \\ge 3.\\](Give your answer in interval notation.)",
"role": "user"
},
{
... | 1,026 |
[
{
"content": "A square was made from a piece of string that is 32 centimeters (cm) long. What is the maximum area of the rectangle created in square centimeters (cm2)?",
"role": "user"
},
{
"content": "<think>\nOkay, so I have this problem here: A square was made from a piece of string that is 32 ce... | 1,567 |
[
{
"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 shaded region shown consists of 11 unit squares and rests along the $x$-axis and the $y$-axis. The shaded region is rotated about the $x$-axis to form a... | 1,112 |
[
{
"content": "A point $(x,y)$ is randomly selected such that $0 \\le x \\le 3$ and $0 \\le y \\le 6$. What is the probability that $x+y \\le 4$? Express your answer as a common fraction.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the probability that a randomly selected point... | 1,443 |
[
{
"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.\nCompute $\\tan 60^\\circ$.",
"role": "user"
},
{
"content": "<think>\nOkay... | 980 |
[
{
"content": "Grant decided to sell his baseball gear since he was now playing football. He sold his baseball cards for $25. He got $10 for his baseball bat and agreed to sell his $30 baseball glove at 20% off. He also sold both pair of his baseball cleats for $10 each. How much money did Grant make?",
... | 381 |
[
{
"content": "There is a plane contains 32 points.all the 32 points have equal distance from point x. which of the following is true .\nAnswer Choices: (A) ll 32 points lie in circle (B) the distance from x to all 32 points is less than the distance between each other c. both a and b (C) both a and b (D) 32 (E)... | 28 |
[
{
"content": "Write Python code to solve the task.\nYou are given a sequence of integers $a_1, a_2, ..., a_N$. An element ak is said to be an average element if there are indices $i, j$ (with $i \\neq j$) such that $a_k = \\frac{a_i + a_j}{2}$.\nIn the sequence\n371022171537102217153 \\quad 7 \\quad 10 \\quad ... | 759 |
[
{
"content": "During a unit on probability, a teacher surveys her class asking her students two questions. The first question was whether they prefer dogs or cats, and the second question was whether they movies or video games. Of the 30 students in her class, 50% chose dogs and video games as their two answe... | 1,333 |
[
{
"content": "Tom is binge-watching a show on Netflix. The show has 90 episodes, each one of which is 20 minutes long because there are no commercials. If Tom can spend two hours a day watching the show, how many days will it take him to finish watching the show?",
"role": "user"
},
{
"content": "<t... | 1,375 |
[
{
"content": "There were 15 males and 10 more girls at the party. Each attendee received 2 cans of soft drinks. If Mary bought several boxes of soft drinks where a box contains 8 cans and is priced at $5 for each box, how much did Mary spend on soft drinks?",
"role": "user"
},
{
"content": "<think>\... | 472 |
[
{
"content": "What is the remainder when $2007$ is divided by $81$?",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the remainder when 2007 is divided by 81. Hmm, let's see. I remember that when you divide a number by another, the remainder is what's left after you subtract as man... | 1,415 |
[
{
"content": " \"statement 1\": For how many days did the trial last , if each patient received a total amount of less than 545 milligrams of Dosaxin during the whole trial ?, \"statement 2\" :For how many days did the trial last , if each patient received a total amount of 145 milligrams of Dosaxin during the ... | 180 |
[
{
"content": "Daniel owns a textile company. Every Monday he delivers 20 yards of fabric, and every Tuesday he delivers twice the amount of fabric he delivers on Monday. Every Wednesday, he delivers 1/4 of the amount of fabric he delivers on Tuesday. If each yard of fabric costs $2 and each yard of yarn costs a... | 1,798 |
[
{
"content": "Janice needs to go to watch a movie in 2 hours. before she could leave, she needs to finish her homework which takes 30 minutes; clean her room which takes half as long as her homework; walk the dog which takes 5 minutes more than making homework; take out the trash which takes 1/6 of the time it ... | 1,300 |
[
{
"content": "At a party, there are 50 people. 30% of them are boys. How many girls are at this party?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. There's a party with 50 people, and 30% of them are boys. The question is asking how many girls are there. Hmm, so first, I need to figur... | 1,434 |
[
{
"content": "There is an unlimited supply of congruent equilateral triangles made of colored paper. Each triangle is a solid color with the same color on both sides of the paper. A large equilateral triangle is constructed from four of these paper triangles as shown. Two large triangles are considered distin... | 1,230 |
[
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nAnna puts three slices of ham in each sandwich. If she has 31 slices of ham, how many more slices of ham does she need to make 50 ham sandwiches?",
"rol... | 1,075 |
[
{
"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.\nNeeley bought a loaf of bread from the store and sliced it into x pieces. His family a... | 580 |
[
{
"content": "Write Python code to solve the task.\nA function receives a certain numbers of integers ```n1, n2, n3 ..., np```(all positive and different from 0) and a factor ```k, k > 0```\n\nThe function rearranges the numbers ```n1, n2, ..., np``` in such order that generates the minimum number concatenating... | 1,067 |
[
{
"content": "a is older than b by 5 years . 7 years hence , thrice a ' s age shall be equal to 4 times that of b . find their present ages .",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. I need to find the present ages of a and b. The problem says that a is older than b by 5 years. So... | 1,640 |
[
{
"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.\nThe asymptotes of a hyperbola are $y = x + 1$ and $y = 3 - x.$ Also, the hyperbola pa... | 1,084 |
[
{
"content": "Palindromes are numbers that read the same backwards and forwards, like 5665. What is the least possible positive four-digit palindrome that is divisible by 3?",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the smallest four-digit palindrome that's divisible by 3. L... | 1,258 |
[
{
"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.\nIn the figure, the visible gray area within the larger circle is equal to three times ... | 882 |
[
{
"content": "Write Python code to solve the task.\nYou are given that a mango weighs X kilograms and a truck weighs Y kilograms.\nYou want to cross a bridge that can withstand a weight of Z kilograms. \n\nFind the maximum number of mangoes you can load in the truck so that you can cross the bridge safely.\n\n-... | 1,126 |
[
{
"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.\nof 67 players on a cricket team , 37 are throwers . the rest of the team is divided so... | 1,157 |
[
{
"content": "Find all real values of $x$ which satisfy\n\\[\\frac{1}{x + 1} + \\frac{6}{x + 5} \\ge 1.\\]",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to solve this inequality: \\(\\frac{1}{x + 1} + \\frac{6}{x + 5} \\ge 1\\). Hmm, let's see. First, I remember that when dealing with i... | 1,171 |
[
{
"content": "On Friday, Hank opened his used-bicycle store with a stock of bicycles, all fixed-up and ready to ride. Over the course of the day, he sold 10 bicycles and bought an additional 15 to fix up. On Saturday, he sold 12 bicycles and bought 8 more. And on Sunday, he sold 9 bicycles and bought 11 more. W... | 1,284 |
[
{
"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.\nTricia is a third of Amilia’s age and Amilia is a quarter of Yorick’s age. Yorick is t... | 593 |
[
{
"content": "tough and tricky questions : number properties . what is the smallest positive integer x such that 1512 x is the cube of a positive integer ? Let's program in Python in the response.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the smallest positive integer x such... | 184 |
[
{
"content": "Cindy was 5 years old. Her sister Jan was 2 years older than Cindy. Their oldest sister Marcia was twice as old as Jan. Greg was two years older than Marcia. How old was Greg?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem is about figuring out Greg's age b... | 361 |
[
{
"content": "The sum of the ages of Jeremy, Sebastian and Sophia in three years is 150. Currently, Sebastian is 4 years older than Jeremy. If Jeremy's age is 40, calculate Sophia's age three years from now?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. I need to figure out Sophia's ag... | 174 |
[
{
"content": "The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 8112 sq. m, and the cost of fencing the field is 91, what is the cost per meter of fencing in paise?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. I need to find the cost per meter of fen... | 1,794 |
[
{
"content": "A car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 48 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The pro... | 1,899 |
[
{
"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.\nin an election between two candidates a and b , the number of valid votes received by ... | 1,149 |
[
{
"content": "23 people attend a party. Each person shakes hands with at most 22 other people. What is the maximum possible number of handshakes, assuming that any two people can shake hands at most once?",
"role": "user"
},
{
"content": "<think>\nOkay, so there's this problem about a party with 23 ... | 1,487 |
[
{
"content": "The price of stock decreased by 8% last year and rose by 10% this year. What is the net percentage change in the price of the stock?\nAnswer Choices: (A) 0.2% (B) 0.8% (C) 1.2% (D) 1.6% (E) 2%",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem is about the price of... | 111 |
[
{
"content": " \"statement 1\": Alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups, \"statement 2\" :Alok ordered more than 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups, \"options: \" Entailment or contradiction or neutral? Let... | 248 |
[
{
"content": "Mike, Ted, and Sarah planted tomatoes. In the morning, Mike planted 50 tomato seeds while Ted planted twice as much as Mike. Sarah planted 30 seeds more than Mike in the morning. In the afternoon, Mike planted 60 tomato seeds while Ted planted 20 fewer tomato seeds than Mike. Sarah planted 20 more... | 1,942 |
[
{
"content": "A tree had 1000 leaves before the onset of the dry season, when it sheds all its leaves. In the first week of the dry season, the tree shed 2/5 of the leaves. In the second week, it shed 40% of the remaining leaves. In the third week, the tree shed 3/4 times as many leaves as it shed on the secon... | 1,493 |
[
{
"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.\nFind the mass percentage of C in Citric acid",
"role": "user"
},
{
"conten... | 811 |
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