Split (1)

train · 384 rows

conversations listlengths 2 193	language stringclasses 10 values	language_type stringclasses 6 values	source stringclasses 4 values
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "You are OpenHands agent, a helpful AI assistant that can interact with a computer to solve tasks.\n\n<ROLE>\nYour primary role is to assist users by executing commands, modifying code, and solving technical problems effectively. You should be thorough, methodical, and prioritize quality over speed...	en	agentic	nvidia/Nemotron-SWE-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to construct a sequence \$ p \$ of length \$ n \$ such that each element \$ p_i \$ is chosen from one of the three given sequences \\( a_i, b_i,...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to maximize the difference between the maximum and minimum amount of water in barrels after performing at most `k` pouring operations. The key insight...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine for each number \$ m \$ (from 1 to \$ n \$) in a given permutation whether there exists a contiguous subarray that forms a permutatio...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine all possible ways to split a given sequence into two non-overlapping permutations. A permutation of length \$ m \$ is a sequence that c...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the minimum number of coins required to ensure that all voters vote for us. Each voter can be convinced either by paying them a certain n...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the resulting score of Alice in a game played between Alice and Bob on a binary string. The game involves players alternately removing co...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to find a subsequence of a given permutation that maximizes the sum of absolute differences between consecutive elements. Among all such subsequences,...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to minimize the area of a grid required for a toy robot to execute a sequence of commands without falling off. The robot can move in four directions: ...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine if we can transform array `a` into array `b` by performing a series of operations where each operation allows us to add an element from a...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the minimum number of days required to repair a highway of length `n` such that at least half of the highway has high-quality pavement. T...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine if two given rectangles can be assembled into a square. The original square was cut into these two rectangles with a single vertical or h...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the maximal area of a rectangular window on a screen that does not contain a dead pixel. The screen has dimensions `a x b` pixels, and th...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the maximum score Polycarp can achieve in a programming contest by solving a subset of problems within a given time limit. The contest in...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to find the minimum side length of a square such that a given regular polygon with \$2 \\cdot n\$ vertices (each side of length 1) can be embedded i...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the minimum number of TV show subscriptions required such that there exists at least one segment of `d` consecutive days where all episod...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine if it's possible to adjust the temperature of a restaurant such that all customers are satisfied with the temperature at their respective...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to find the smallest positive integer \$ k \$ such that applying the XOR operation between each element of the set \$ S \$ and \$ k \$ results i...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to compute the K-th term of a sequence defined by the recurrence relation \$a_{n+1} = a_n + \\text{minDigit}(a_n) \\cdot \\text{maxDigit}(a_n)\$, wh...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the minimum number of coins required to ensure that all voters vote for us. Each voter can be convinced either by paying them a certain n...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to find two non-negative real numbers \$a\$ and \$b\$ such that \$a + b = d\$ and \$a \\cdot b = d\$ for a given non-negative integer \$d\$....	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine if it's possible to solve a special jigsaw puzzle consisting of \$n \\times m\$ identical pieces. Each piece has three tabs and one bla...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to transform an array of positive integers into an array consisting solely of odd integers by performing a series of operations. Each operation involv...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine if we can replace all the question marks in a given string with lowercase English letters such that the substring \"abacaba\" appears exa...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the k-amazing number for each k from 1 to n in an array. The k-amazing number is defined as the smallest number that appears in every con...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the minimum number of substring reversals required to transform a given binary string into an alternating string. An alternating string i...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to calculate the time a skier takes to traverse a path on a snowy field, where each segment of the path is either traversed for the first time (taking...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the maximum number of gold coins Mr. Chanek can collect from a treasure chest containing \$ N \$ coins when both players play optimally...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to minimize the final number left on the board after performing a series of operations where we repeatedly erase two numbers \$a\$ and \$b\$ and w...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to find the greatest integer that can be displayed on a bugged electronic screen with a constraint that no more than `n` segments can be turned on sim...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the maximum number of groups that can be formed from a set of young explorers, where each group must satisfy the condition that every exp...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the pile number for each given worm label based on the consecutive labeling of worms across multiple piles. The solution involves efficie...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "-", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "To solve this problem, we need to determine the winner of a card game between two players who play optimally. The game involves each player selecting a card from their hand in each ...	en	code	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "In a regular quadrangular pyramid the lateral edge of length $m$ is inclined to the plane of the base at an angle $\\alpha $. Find the volume of the pyramid.", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "The volume \$V\$ of a p...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Given a $5 \\times 2019$ grid where each square is painted either red or green, what is the largest $N$ such that there will always be two rows which have matching colors in at least $N$ columns?", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { ...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "A cuboid with a square base has a diagonal of length $d$ and a surface area of $b$. Calculate the sum of the lengths of all edges of the cuboid.", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "The cuboid has a square base with side...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Two teams worked together for 15 days. A third team then joined them as a result of which in 5 days the whole job was completed. The daily output of the second team is 20\\% higher than that of the first team. The second and third teams together could have fulfilled the whole job in $\\frac{9}{10}...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Suppose that $A$ is an $m \\times n$ matrix whose columns span $\\mathbb{R}^{m}$. Construct an $n \\times m$ matrix $D$ such that $AD = I_{m}$.", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "Given that \$A\$ is an \\(m \\times n...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "A goods train left Moscow at \$ x \$ hours \$ y \$ minutes and arrived in Saratov at \$ y \$ hours \$ z \$ minutes. The journey took \$ z \$ hours \$ x \$ minutes. Find all possible values of \$ x \$.", "id": null, "reasoning_content": null, "role": "user", "tool_call...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "What is the least total number of pens that can be distributed into 49 packages such that each package contains a different number of pens, and no package is left empty?", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "The least tot...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "If there is a rectangular garden with an area of 250 square meters next to a building and fenced on three sides, with the building acting as the fourth fence, and if the side of the garden parallel to the building has length \$ x \$ meters, express the amount of fencing required as a function of...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Find the set of points of affix \$ z \$ in the complex plane such that \$ \|z-3\| - \|z+3\| > 4 \$.", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "The set of points with affix \$z = x + yi\$ in the complex plane satisfying \\(\|z...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Find some positive integers $a$, $b$, and $c$ such that for any $n > 2$,\n$$b-\\frac{c}{(n-2)!} < \\frac{2^3-a}{2!}+\\frac{3^3-a}{3!}+...+\\frac{n^3-a}{n!}<b$$", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "The positive integers \...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "If a monic polynomial has only real roots, and the \$ x^{n-1} \$ term is zero, what is true about the sign of the \$ x^{n-2} \$ coefficient?", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "A monic polynomial of degree \$n\$ w...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Use the sum of the geometric series $1 - u + u^2 - u^3 + \\cdots + (-1)^{n-1} u^{n-1}$ to find an expression for the error in using the Maclaurin polynomial of degree $n$ as an approximation to $\\ln(1+x)$.", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] ...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "How many ways can the 4 sides of a square be colored using two colors, considering the square can rotate?", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "The problem involves coloring the four sides of a square using two distinct c...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Find the range of the function \$ f(x) = \\sqrt{\\sin\\left(\\log_{e}\\left(\\dfrac{x^2+e}{x^2+1}\\right)\\right)} + \\sqrt{\\cos\\left(\\log_{e}\\left(\\dfrac{x^2+e}{x^2+1}\\right)\\right)} \$.", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { ...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Find all functions \$ f: \\mathbb{Q} \\to \\mathbb{R} \$ such that for all \$ x, y \\in \\mathbb{Q} \$:\n\\[ f(x+y) - yf(x) - xf(y) = f(x)f(y) - x - y + xy, \\]\n\\[ f(x) = 2f(x+1) + 2 + x, \\]\nand\n\\[ f(1) + 1 > 0. \\]", "id": null, "reasoning_content": null, "role": "user", ...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "A syndicate has 12 members, one of whom is the president. A board of 4 positions needs to be formed from these members, with the condition that the president cannot be one of the board members. How many ways can this board be formed?", "id": null, "reasoning_content": null, "role": "us...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Evaluate the integral\n\\[\n\\int_{3}^{6} \\left[ \\frac{\\int_{0}^{5} \\psi \\sum_{l=1}^{\\infty} \\left( \\frac{\\psi}{l^2} \\right)^l \\, d\\psi}{\\sum_{n=1}^{\\infty} \\frac{1}{n^2}} \\right] (\\omega^2 - 3\\omega + 5) \\, d\\omega,\n\\]\nwhere $[\\gamma]$ denotes the greatest integer function...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Solve the equation $$1 +\\frac{1}{1 +\\frac{1}{1 +\\frac{1}{ \\begin{array}{ccc} 1+\\\\ & \\ddots\\\\ && 1+\\frac{1}{x} \\end{array}}}}=x$$ where in the expression on the left-hand side the sign of a fraction is repeated $n$ times.", "id": null, "reasoning_content": null, "role": "user...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Let $f(x) = x^2-3x$. For what values of $x$ is $f(f(x)) = f(x)$? Enter all the solutions, separated by commas.", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "The equation to solve is \$f(f(x)) = f(x)\$ where \\(f(x) = x^2 - 3x\...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Let \$ x \$ and \$ y \$ be positive integers that are at least 2. Johnny hits 1 out of every 10 free throws, Abigail hits 1 out of every \$ x \$ free throws, and Demar hits 2 out of every \$ y \$ free throws. The mean of Abigail's and Demar's individual free throw percentages is the same a...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Find the smallest number which is the sum of 2002 numbers (not necessarily different) with the same sum of digits and also the sum of 2003 numbers with the same sum of digits.", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "The sma...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Given the function \$ f(x) = \\sqrt{2x^2 - 2x + 1} - \\sqrt{2x^2 + 2x + 5} \$, find the range of values for \$ f(x) \$.", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "The function is \\( f(x) = \\sqrt{2x^2 - 2x + 1} - \\sqrt{2...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "A fat muffin likes to eat jelly beans. He has an infinite amount of them. Every day he rolls 5 pairs of normal 6-sided dice. Each jelly bean weighs 5 pounds, and the muffin never loses weight. He starts weighing 5 pounds. After 10 days, what is the expected value of his weight in pounds?", "id...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "In a metallic disk, a circular sector is removed so that the remaining part can form a conical glass of maximum volume. Calculate, in radians, the angle of the sector that is removed.", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": ...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Let \$ f \$ be the function defined on the set of positive integers by \$ f(1) = 1 \$, \$ f(2n+1) = f(2n) + 1 \$, and \$ f(2n) = 3f(n) \$. Determine how close to \$ 1991 \$ the value of \$ f(n) \$ can get.", "id": null, "reasoning_content": null, "role": "user", "tool_c...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "For which values of the parameter $a$ are the systems of equations $$\\left\\{\\begin{array}{lll} \\sin (x+y)=0\\medskip \\\\ x^2+y^2=a \\end{array}\\right. \\mbox{and} \\left\\{\\begin{array}{lll} x+y=0\\medskip \\\\ x^2+y^2=a \\end{array}\\right.$$ equivalent?", "id": null, "reasoning_co...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Solve the given systems of equations: $\\left\\{\\begin{array}{lll} x+y=a\\medskip \\\\ x^4+y^4=a^4. \\end{array}\\right.$", "id": null, "reasoning_content": null, "role": "user", "tool_calls": [] }, { "content": "The system of equations is:\n\\[\n\\left\\{\n\\begin{array}{...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "The sum of three positive numbers $\\alpha ,\\beta ,\\gamma $ is equal to $\\pi /2$. Compute the product $\\cot \\alpha \\cot \\gamma $ if we know that $\\cot \\alpha $, $\\cot \\beta $, $\\cot \\gamma $ form an arithmetic progression.", "id": null, "reasoning_content": null, "role": "...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Let \$ n > 1 \$ be a positive integer. Find the number of binary strings \$(a_1, a_2, \\ldots, a_n)\$ such that the number of indices \$ 1 \\leq i \\leq n-1 \$ for which \$ a_i = a_{i+1} = 0 \$ is equal to the number of indices \$ 1 \\leq i \\leq n-1 \$ for which \\( a_i = a_{i+1} = 1 \\...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "A circle $\\omega_1$ of radius $6\\sqrt{2}$ is internally tangent to a larger circle $\\omega_2$ of radius $12\\sqrt{2}$ such that the center of $\\omega_2$ lies on $\\omega_1$. A diameter $AB$ of $\\omega_2$ is drawn tangent to $\\omega_1$. A second line $\\ell$ is drawn from $B$ tangent to $\\om...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "Alice, Bob, and Carol each think of an expression that is a fraction with 1 as the numerator and a constant integer times some power of \$ x \$ as the denominator. The simplest common denominator of Alice's and Bob's expressions is \$ 4x^2 \$. The simplest common denominator of Bob's and Carol...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "In a round-robin golf tournament, Simon beat Garfunkle in the first game. Garfunkle scored 8 total victories with no ties, while Simon scored exactly 8 points, including the point for a victory over Garfunkle. Every other player at the tournament scored exactly $n$ points. Find the sum of all poss...	en	math	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "In metagenomics studies, which of the following approaches is most effective for identifying and characterizing novel microorganisms in complex microbial communities?\nA: Shotgun metagenomic sequencing followed by de novo assembly and functional annotation\nB: 16S rRNA gene amplicon sequencing com...	en	stem	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "In metagenomics studies, which of the following approaches is most effective for identifying and characterizing novel microorganisms in complex microbial communities?\nA: Shotgun metagenomic sequencing followed by de novo assembly and functional annotation\nB: 16S rRNA gene amplicon sequencing com...	en	stem	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "In metagenomics studies, which of the following approaches is most effective for identifying and characterizing novel microorganisms in complex microbial communities?\nA: Shotgun metagenomic sequencing followed by de novo assembly and functional annotation\nB: 16S rRNA gene amplicon sequencing com...	en	stem	nvidia/Nemotron-Post-Training-Dataset-v1
[ { "content": "In metagenomics studies, which of the following approaches is most effective for identifying and characterizing novel microorganisms in complex microbial communities?\nA: Shotgun metagenomic sequencing followed by de novo assembly and functional annotation\nB: 16S rRNA gene amplicon sequencing com...	en	stem	nvidia/Nemotron-Post-Training-Dataset-v1

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