difficulty stringclasses 30
values | source stringclasses 16
values | domain stringclasses 3
values | conversations listlengths 2 2 |
|---|---|---|---|
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Let \\(a, b, c\\) be reals satisfying \\(a^2 + b^2 + c^2 = 6\\). Calculate the maximum value of the expression \\((a-b)^3 + (b-c)(c-a)\\)."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I have this problem where I need to find the maximum value of the expression (a... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following scheduling algorithms could potentially lead to starvation in a computer system?\nA: First-Come, First-Served (FCFS)\nB: Shortest Job First (SJF)\nC: Round Robi... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Let \\( G \\) be a simple graph on \\( n \\) vertices (\\( n > 3 \\)) with no vertex of degree \\( n-1 \\). Suppose that for any two vertices of \\( G \\), there is a unique vertex joined to both of them. Calculate the common degree of each vertex in \\( G \\)."
},
{
"fr... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Find all integers $(x, y, z)$ satisfying the equation $12^x + y^4 = 56^z$."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to find all integer solutions (x, y, z) to the equation 12^x + y^4 = 56^z. Hmm, let's start by understanding the problem. All variables ... |
UNKNOWN_DIFFICULTY | nvidia/OpenCodeReasoning|aizu | code | [
{
"from": "human",
"value": "You survived several months of exam wars and were able to enter ICPC University on a sunny day. On the day of admission, there was an enthusiastic recruitment of circles on the campus of the university, and you received a large number of pamphlets and returned. When you return t... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "In a convex quadrilateral \\(ABCD\\) with diagonals intersecting at point \\(S\\), given that \\(\\angle SAB = \\angle SBC = 30^\\circ\\) and \\(\\angle SCD = \\angle SDA = 45^\\circ\\), find the angle between the diagonals of the quadrilateral."
},
{
"from": "gpt",
... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nLet \\( A = \\{1, 2, 3\\} \\) and \\( B = \\{a, b, c, d\\} \\). Consider the Cartesian product \\( A \\times B \\). How many subsets of \\( A \\times B \\) contain exactly one element... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA nurse is preparing to administer a medication that requires a precise dosing based on the patient's weight. The patient weighs 75 kg, and the medication dosage is 2 mg/kg per hour. ... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a linear eukaryotic chromosome, two replication origins, OriA and OriB, are separated by a distance D. OriA initiates replication at time t=0, while OriB initiates at time t = Δt (... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nAn angel investor is evaluating multiple startups for potential investment. Each startup has a unique combination of risk, growth potential, market size, and traction. The investor is... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a computational model of traffic flow in a city, which of the following factors most significantly affects the accuracy of long-term traffic predictions?\nA: The precision of initi... |
UNKNOWN_DIFFICULTY | nvidia/OpenCodeReasoning|codechef | code | [
{
"from": "human",
"value": "Problem description.\nAn arithmetic progression(AP) is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.\nFor example:- 1, 4, 7, 10, \n13, 16, 19, ...\nA geometric progression(GP) is a sequence of numbers where each term ... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of workplace productivity, which of the following statements best describes the relationship between employee engagement, task complexity, and the effectiveness of mana... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nDuring plant development, the process of organogenesis leads to the formation of various plant organs from meristematic tissues. Which of the following statements accurately describes... |
EASY | nvidia/OpenCodeReasoning|geeksforgeeks | code | [
{
"from": "human",
"value": "-"
},
{
"from": "gpt",
"value": "<think>\nOkay, I need to write a Python function called display that takes the head of a linked list and prints all the elements separated by a space, ending with a single space. The examples show that for the inputs like 1 2, the out... |
interview | nvidia/OpenCodeReasoning|kattis | code | [
{
"from": "human",
"value": "-"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. The problem is about minimizing the total noise from parties in a dorm when students move in. The noise each day is equal to the number of students in the building they move into that day. We can empty a buil... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following archaeological discoveries significantly contributed to our understanding of ancient Mesopotamian law and society?\nA: The discovery of Tutankhamun's tomb in Eg... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nAccording to ICH-GCP E6(R3) guidelines and their application to orbital and deep-space clinical trials, which fundamental ethical principle faces an *irreconcilable conflict* when con... |
null | nvidia/OpenMathReasoning|MATH_training_set | math | [
{
"from": "human",
"value": "What is the largest five-digit integer whose digits have a product equal to the product $(7)(6)(5)(4)(3)(2)(1)$?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. The problem is asking for the largest five-digit integer where the product of its digits equals t... |
competition | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "Sherlock has a new girlfriend (so unlike him!). Valentine's day is coming and he wants to gift her some jewelry.\n\nHe bought n pieces of jewelry. The i-th piece has price equal to i + 1, that is, the prices of the jewelry are 2, 3, 4, ... n + 1.\n\nWatson gave Sherlock a challe... |
0 | nvidia/OpenCodeReasoning|atcoder | code | [
{
"from": "human",
"value": "AtCoDeer the deer has N cards with positive integers written on them. The number on the i-th card (1≤i≤N) is a_i. Because he loves big numbers, he calls a subset of the cards good when the sum of the numbers written on the cards in the subset, is K or greater.\n\nThen, for each ... |
null | nvidia/OpenMathReasoning|aops_c5_contests_amp_programs | math | [
{
"from": "human",
"value": "All possible sequences of four consecutive positive integers less than 200 are created. A sequence is called orderly if the smallest member is divisible by 2, the next smallest member is divisible by 3, the next smallest is divisible by 4, and the largest is divisible by 5. What... |
10 | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "Let T be arbitrary binary tree — tree, every vertex of which has no more than two children. Given tree is rooted, so there exists only one vertex which doesn't have a parent — it's the root of a tree. Every vertex has an integer number written on it. Following algorithm is run o... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "What is the largest 3-digit palindrome that, when multiplied by 111, remains a palindrome?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to find the largest 3-digit palindrome that, when multiplied by 111, the result is still a palindrome. Hmm, let's break ... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a 2D topological quantum field theory, anyons can exhibit statistics that are neither bosonic nor fermionic. Suppose a system contains two identical anyons with a statistical phase... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA company operates in a region with multiple regulatory bodies. The local environmental agency has imposed a restriction that limits the company's emissions to 100 units per day. Howe... |
0 | nvidia/OpenCodeReasoning|atcoder | code | [
{
"from": "human",
"value": "Along a road running in an east-west direction, there are A shrines and B temples. The i-th shrine from the west is located at a distance of s_i meters from the west end of the road, and the i-th temple from the west is located at a distance of t_i meters from the west end of th... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nDuring surgery on a neonate, which active warming technique is most essential to prevent rapid heat loss?\n\nA: Administering warmed intravenous fluids\nB: Placing a warming blanket u... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Find the sum of the digits of the result of multiplying two numbers, each consisting of 2014 digits, where the first number is all 8s and the second number is all 9s."
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try to figure this out. So the problem is to fi... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA rectangular tank with a length of 20 cm, a width of 10 cm, and a height of 15 cm is filled with water. A solid plastic block with a volume of 600 cm³ is submerged into the water. By... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "An \\( n \\)-gon (which is not self-intersecting) is triangulated using \\( m \\) interior vertices. The triangulation consists of \\( N \\) triangles such that: (1) their union is the original \\( n \\)-gon; (2) the union of their vertices is the set consisting of the \\( n \\)... |
interview | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "You have k pieces of laundry, each of which you want to wash, dry and fold. You are at a laundromat that has n1 washing machines, n2 drying machines and n3 folding machines. Each machine can process only one piece of laundry at a time. You can't dry a piece of laundry before it ... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of effective team management, which of the following strategies is most effective for a manager to enhance productivity and morale in a diverse workplace?\nA: Implement... |
MEDIUM | nvidia/OpenCodeReasoning|geeksforgeeks | code | [
{
"from": "human",
"value": "-"
},
{
"from": "gpt",
"value": "<think>\nOkay, I need to solve this problem where given an array of positive integers and multiple queries, each asking how many elements in the array are divisible by a certain K. Let's think about how to approach this efficiently.\n... |
null | nvidia/OpenMathReasoning|aops_c7_college_math | math | [
{
"from": "human",
"value": "Evaluate the integral $\\int_{0}^{1}\\frac{2x-(1+x^2)^2\\cot^{-1} x}{(1+x^2)\\left(1-(1+x^2)\\cot^{-1} x\\right)}dx$."
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try to tackle this integral. So, the problem is to evaluate the integral from 0 to 1 of [2x - (1... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a Bose-Einstein condensate (BEC) of cold atoms, the Gross-Pitaevskii equation describes the macroscopic wave function of the condensate. Which of the following statements about the... |
HARD | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "We all know that GukiZ often plays with arrays. \n\nNow he is thinking about this problem: how many arrays a, of length n, with non-negative elements strictly less then 2l meet the following condition: <image>? Here operation <image> means bitwise AND (in Pascal it is equivalent... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of mentoring new teachers, which of the following strategies is most effective for enhancing a mentee's confidence and teaching skills?\nA: Providing direct solutions t... |
null | nvidia/OpenMathReasoning|aops_c5_contests_amp_programs | math | [
{
"from": "human",
"value": "For a set of four distinct lines in a plane, there are exactly $N$ distinct points that lie on two or more of the lines. What is the sum of all possible values of $N$?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try to figure out this problem. The question i... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a combined Scrum and Kanban methodology, which of the following best describes a balanced approach to project management?\nA: The team holds daily stand-ups and uses a Scrum board ... |
null | nvidia/OpenMathReasoning|aops_c7_college_math | math | [
{
"from": "human",
"value": "Find \\( \\int \\frac{\\sqrt{x}}{1 + x^6} \\, dx \\)."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to solve the integral of sqrt(x)/(1 + x^6) dx. Hmm, let's see. First, maybe I should simplify the expression or look for a substitution that can make this in... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following practices is most effective in reducing the environmental impact of industrial wastewater treatment?\nA: Using high-strength chemicals to break down contaminant... |
VERY_HARD | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "Vasya wants to buy a new refrigerator. He believes that a refrigerator should be a rectangular parallelepiped with integer edge lengths. Vasya calculated that for daily use he will need a refrigerator with volume of at least V. Moreover, Vasya is a minimalist by nature, so the v... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA manufacturing plant uses the Economic Production Quantity (EPQ) model to optimize its production schedule. The annual demand for a product is 12,000 units, the production setup cost... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Let $p$ and $n$ be positive integers such that $p$ is prime and $1 + np$ is a perfect square. If $n + 1$ can be expressed as the sum of $p$ perfect squares, find the smallest possible value of $n + 1$ when $p = 7$."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I n... |
interview | nvidia/OpenCodeReasoning|codechef | code | [
{
"from": "human",
"value": "-"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. The problem is to find the number of markets in a city. From the description, a market is a connected component of shops connected by roads. So each connected component counts as one market. Even a single sho... |
null | nvidia/OpenMathReasoning|aops_c7_college_math | math | [
{
"from": "human",
"value": "Evaluate the integral $\\int \\frac{\\ln{x}}{1+x^2}dx$."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to evaluate the integral of (ln x)/(1 + x²) dx. Hmm, let's think. I remember that integrals involving ln x often require integration by parts. But sometime... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following statements is true regarding the computational complexity of training a support vector machine (SVM)?\nA: Training an SVM is always NP-complete.\nB: Training an... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA 72-year-old patient presents with gradually worsening memory loss over 3 years, now struggling to manage finances and medications. Family reports increased confusion in the evenings... |
null | nvidia/OpenMathReasoning|aops_c7_college_math | math | [
{
"from": "human",
"value": "Given that \\( f \\) is analytic in \\( |z| < 2 \\), bounded there by 10, and \\( f(1) = 0 \\), find the best possible upper bound for \\( |f(\\frac{1}{2})| \\)."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I have this complex analysis problem here. Let me try to... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Find all quadruples of positive integers $(a,b,m,n)$ such that \\[a^mb^n=(a+b)^2+1.\\]"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's try to tackle this problem. We need to find all quadruples of positive integers (a, b, m, n) such that a^m * b^n = (a + b)^2 + 1... |
MEDIUM_HARD | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "You are given a permutation p of numbers 1, 2, ..., n. Let's define f(p) as the following sum:\n\n<image>\n\nFind the lexicographically m-th permutation of length n in the set of permutations having the maximum possible value of f(p).\nInput\n\nThe single line of input contains ... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a business negotiation, you notice that the other party is using a strategy where they stress the value of sustainable practices. Which of the following responses is most effective... |
11 | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "Vova and Marina love offering puzzles to each other. Today Marina offered Vova to cope with the following task.\n\nVova has a non-directed graph consisting of n vertices and m edges without loops and multiple edges. Let's define the operation of contraction two vertices a and b ... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Solve the equation:\n\\[ (2 + \\sqrt{2})^{\\log_2 x} + x^2 (2 - \\sqrt{2})^{\\log_2 x} = 1 + x^2 \\]"
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try to solve this equation step by step. The equation is:\n\n\\[\n(2 + \\sqrt{2})^{\\log_2 x} + x^2 (2 - \\sqrt{2... |
7 | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "Kevin Sun has just finished competing in Codeforces Round #334! The round was 120 minutes long and featured five problems with maximum point values of 500, 1000, 1500, 2000, and 2500, respectively. Despite the challenging tasks, Kevin was uncowed and bulldozed through all of the... |
null | nvidia/OpenMathReasoning|MATH_training_set | math | [
{
"from": "human",
"value": "How many odd integers are there between $\\frac{17}{4}$ and $\\frac{35}{2}?$"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to find out how many odd integers are between 17/4 and 35/2. Hmm, let's start by converting those fractions to decimals to get a bette... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following technological advancements had the most significant impact on the growth of e-commerce in the early 21st century?\nA: The invention of the personal computer\nB:... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Find the general term of the sum \\( \\sum_{y_{1} + \\cdots + y_{k} = n} y_{1} \\cdots y_{k} \\) where \\( y_1, \\ldots, y_k \\in \\mathbb{N} \\)."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to find the general term of the sum where we're summing the prod... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA 45-year-old woman presents with fatigue, weight gain, constipation, and cold intolerance for 6 months. Physical exam is notable for dry skin, mild puffy face, and delayed relaxation... |
null | nvidia/OpenMathReasoning|aops_c7_college_math | math | [
{
"from": "human",
"value": "Find the limit \\(\\lim_{x \\rightarrow 0} \\frac{2^{x^2} \\cos^2 x - 1}{\\sqrt{x^2 + 1} - 1}\\)."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to find the limit as x approaches 0 of [2^(x²) * cos²x - 1] divided by [sqrt(x² +1) -1]. Hmm, let's see. Limits i... |
null | nvidia/OpenMathReasoning|aops_c7_college_math | math | [
{
"from": "human",
"value": "Express the surface area $S$ of a right circular cone in terms of the radius $r$ of its base, given that a sphere with radius 1 is inscribed in the cone."
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. I need to find the surface area of a right circular cone... |
introductory | nvidia/OpenCodeReasoning|codewars | code | [
{
"from": "human",
"value": "-"
},
{
"from": "gpt",
"value": "<think>\nOkay, I need to solve this problem where I have to determine if an array of integers is sorted in ascending order, descending order, or not sorted. Let's think about how to approach this.\n\nFirst, the problem states that the... |
HARD | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "The only difference between easy and hard versions is constraints.\n\nNauuo is a girl who loves random picture websites.\n\nOne day she made a random picture website by herself which includes n pictures.\n\nWhen Nauuo visits the website, she sees exactly one picture. The website... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA multinational beverage company operates in four regions with distinct water stress characteristics. Using Water Footprint Network methodology, they calculated the following annual o... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following is **not** a recommended practice for maintaining heart health?\nA: Regular physical exercise\nB: Maintaining a healthy diet low in saturated fats\nC: Smoking c... |
EASY | nvidia/OpenCodeReasoning|hackerearth | code | [
{
"from": "human",
"value": "After Governor's attack on prison, Rick found himself surrounded by walkers. They are coming towards him from all sides. Now, suppose Rick have infinite number of bullets with him. Suppose Rick need 1 bullet to kill each walker (yeah he is good in killing walkers. They need to b... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhat is the minimum number of essential health services that must be included in a country's Universal Health Coverage (UHC) package to achieve effective financial protection for non-... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nConsider the hypothetical molecule XY3, where X is a central atom with the electron configuration \\([Ne] 3s^2 3p^4\\) and Y is a fluorine atom. What is the molecular geometry and hyb... |
null | nvidia/OpenMathReasoning|MATH_training_set | math | [
{
"from": "human",
"value": "While standing in line to buy concert tickets, Kit moved 60 feet closer to the ticket window over a period of 30 minutes. At this rate, how many minutes will it take her to move the remaining 70 yards to the ticket window?"
},
{
"from": "gpt",
"value": "<think>\nOkay... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "In trapezoid $ABCD$ with $AB \\parallel CD$ inscribed in circle $\\omega$, let point $G$ lie inside triangle $BCD$. Rays $AG$ and $BG$ meet $\\omega$ again at points $P$ and $Q$, respectively. The line through $G$ parallel to $AB$ intersects $BD$ and $BC$ at points $R$ and $S$, ... |
10 | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "A mad scientist Dr.Jubal has made a competitive programming task. Try to solve it!\n\nYou are given integers n,k. Construct a grid A with size n × n consisting of integers 0 and 1. The very important condition should be satisfied: the sum of all elements in the grid is exactly k... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of pharmaceutical formulations, which thermodynamic parameter is most directly used to predict the spontaneity of a drug dissolution process in an aqueous medium?"
},... |
null | nvidia/OpenMathReasoning|aops_c4_high_school_math | math | [
{
"from": "human",
"value": "A circle passes through point C of a rectangle ABCD and is tangent to AB and AD at points M and N, respectively. If the distance from C to line segment MN is 25 cm, find the area of rectangle ABCD."
},
{
"from": "gpt",
"value": "<think>\nOkay, let's try to tackle thi... |
UNKNOWN_DIFFICULTY | nvidia/OpenCodeReasoning|aizu | code | [
{
"from": "human",
"value": "Mr. Frugal bought a new house. He feels deeply in love with his new house because it has a comfortable living room in which he can put himself completely at ease. He thinks his new house is a really good buy.\n\nBut, to his disappointment, the floor of its living room has some s... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Let \\( a, b, c \\) be positive real numbers such that \\( ab + bc + ca = 3abc \\). Find the minimum of\n\\[ A = \\sum \\frac{b + c}{a^2 + bc} + \\sum \\frac{(a - b)^2}{ab(a + b)} \\]"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. The problem is about findi... |
interview | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "Bob is a duck. He wants to get to Alice's nest, so that those two can duck! [Image] Duck is the ultimate animal! (Image courtesy of See Bang) \n\nThe journey can be represented as a straight line, consisting of $n$ segments. Bob is located to the left of the first segment, while... |
interview | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "Unlucky year in Berland is such a year that its number n can be represented as n = xa + yb, where a and b are non-negative integer numbers. \n\nFor example, if x = 2 and y = 3 then the years 4 and 17 are unlucky (4 = 20 + 31, 17 = 23 + 32 = 24 + 30) and year 18 isn't unlucky as ... |
introductory | nvidia/OpenCodeReasoning|atcoder | code | [
{
"from": "human",
"value": "-"
},
{
"from": "gpt",
"value": "<think>\nOkay, I need to solve this problem where given two one-digit integers a and b, I have to create two strings. The first string is made by concatenating b copies of a's digit. The second is a copies of b's digit. Then compare t... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA 52-year-old female presents to the Emergency Department with 4 days of progressive dyspnea and pleuritic chest pain. She has a history of stage IV metastatic breast cancer on active... |
competition | nvidia/OpenCodeReasoning|kattis | code | [
{
"from": "human",
"value": "-"
},
{
"from": "gpt",
"value": "<think>\nOkay, I need to solve this problem where I have to generate a playing schedule for m teams each with n players. The key points are that each player must play against all players from other teams, and each round can have a pla... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn William Shakespeare's *The Merchant of Venice*, Portia's \"quality of mercy\" speech during the trial scene primarily serves to advocate for which concept in the application of law... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nTwo surfaces appear identical under a specific illuminant but differ spectrally (metameric pair). Under which of the following conditions is it theoretically possible for these surfac... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Find all real solutions to the equation \n\\[ 2(x^2-21)^{1/2} + 3(x^2-17)^{1/3} + 4(x^2-9)^{1/4} = \\frac{90}{x}. \\]"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to find all real solutions to this equation:\n\n2 times the square root of (x² - 21) plus 3 t... |
12 | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "There are n football teams in the world. \n\nThe Main Football Organization (MFO) wants to host at most m games. MFO wants the i-th game to be played between the teams a_i and b_i in one of the k stadiums. \n\nLet s_{ij} be the numbers of games the i-th team played in the j-th s... |
UNKNOWN_DIFFICULTY | nvidia/OpenCodeReasoning|aizu | code | [
{
"from": "human",
"value": "I’m planning to have a party on my birthday. Many of my friends will come to the party. Some of them will come with one or more pieces of cakes, but it is not certain if the number of the cakes is a multiple of the number of people coming.\n\nI wish to enjoy the cakes equally am... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA medical student begins shadowing experienced physicians, learning professional etiquette and communication styles used in hospital settings before starting their residency. This pro... |
null | nvidia/OpenMathReasoning|aops_c4_high_school_math | math | [
{
"from": "human",
"value": "Find the next term of the sequence $1, 9, 15, 21, 25, 27, \\ldots$."
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. I need to find the next term in the sequence: 1, 9, 15, 21, 25, 27, ... Hmm, let's start by looking at the differences between consecutive ter... |
null | nvidia/OpenMathReasoning|aops_c6_high_school_olympiads | math | [
{
"from": "human",
"value": "Consider \\(2^{2010} + 1\\) points in the plane. Let \\(A\\) be the maximum number of angles (formed by any three points) that are less than \\(\\frac{2009\\pi}{2010}\\). Calculate the minimum possible value of \\(A\\)."
},
{
"from": "gpt",
"value": "<think>\nOkay, s... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhich of the following is **not** a common symptom of vitamin D deficiency?\nA: Fatigue\nB: Bone pain\nC: Muscle weakness\nD: Frequent infections\nE: Mood changes\nF: Excessive sweati... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nA 40-year-old man with a history of hypertension and obesity presents with a 6-month history of erectile dysfunction. He is also experiencing fatigue and has noticed somecentral obesi... |
VERY_HARD | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "You are given n points on a plane. \n\nPlease find the minimum sum of areas of two axis-aligned rectangles, such that each point is contained in at least one of these rectangles.\n\nNote that the chosen rectangles can be degenerate. Rectangle contains all the points that lie ins... |
null | nvidia/OpenMathReasoning|aops_c4_high_school_math | math | [
{
"from": "human",
"value": "Given the sequence 1, 4, 13, 40, ..., find a closed-form equation to describe the pattern without depending on the previous value."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to find a closed-form equation for the sequence 1, 4, 13, 40, ... Let me think. ... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn the context of family therapy, which of the following strategies is most effective for addressing communication issues within a family system?\nA: Cognitive-Behavioral Therapy (CBT... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nTwo parallel conductors, each carrying a current \\( I \\), are separated by a distance \\( d \\). The conductors are in a vacuum and are part of a simple circuit. Considering the mag... |
null | nvidia/OpenMathReasoning|aops_c7_college_math | math | [
{
"from": "human",
"value": "Evaluate the integral $$\\int_0^1{(1-x^3)}^n dx$$ in terms of $n$."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to evaluate the integral from 0 to 1 of (1 - x^3)^n dx. Hmm, let me think. I remember that integrating functions raised to a power can sometimes... |
null | nvidia/OpenMathReasoning|aops_c4_high_school_math | math | [
{
"from": "human",
"value": "What is the value of the Riemann zeta function at \\( s = -4 \\)?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. I need to find the value of the Riemann zeta function at s = -4. Hmm, I remember that the Riemann zeta function is defined as ζ(s) = sum_{n=1}^∞... |
VERY_HARD | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "Ksenia has her winter exams. Today she is learning combinatorics. Here's one of the problems she needs to learn to solve.\n\nHow many distinct trees are there consisting of n vertices, each with the following properties:\n\n * the tree is marked, that is, the vertices of the tr... |
MEDIUM_HARD | nvidia/OpenCodeReasoning|codeforces | code | [
{
"from": "human",
"value": "Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes.\n\nLet's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters \"a\", \"e\", \"i\", \"o\", \"... |
null | nvidia/OpenScienceReasoning-2 | science | [
{
"from": "human",
"value": "Solve the following problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIn a software development project, which combination of practices would best ensure quality assurance and maintain efficient development cycles while fostering team collaboration?\nA:... |
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