messages listlengths 2 2 | conversation_id int64 0 2k |
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[
{
"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"
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{
"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"
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{
"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"
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{
"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"
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{
"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 |
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