messages listlengths 2 14 | source stringclasses 8
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[
{
"content": "For the question below, reply using only a, b, c, d, e, f, g, or h.\nThe last line of your response should be of the following format: 'So, the final answer is $LETTER' (without quotes). Where LETTER must be one of a, b, c, d, e, f, g, or h. Eliminate wrong options with explanation.\nA Pockels cel... | UltraData |
[
{
"content": "Given the hyperbola $C: x^{2}-y^{2}=1$ with its right vertex at $A$, a line $l$ passing through $A$ intersects the two asymptotes of the hyperbola $C$ at points $P$ and $Q$, and $\\overrightarrow{PA}=2\\overrightarrow{AQ}$. Find the slope of the line $l$.\n\nA: $\\frac{1}{3}$\n\nB: $\\frac{2}{3}$\... | UltraData |
[
{
"content": "Ayush, Ashish and Vivek are busy preparing a new problem for the next Codeforces round and need help checking if their test cases are valid.\n\nEach test case consists of an integer $$$n$$$ and two arrays $$$a$$$ and $$$b$$$, of size $$$n$$$. If after some (possibly zero) operations described belo... | UltraData |
[
{
"content": "Consider the difference equation \\( a_{n+1} = \\left(1 + \frac{1}{n^2}\right)a_n \\). Using the improved Taylor series expansion \\( a_n = \\sum_{k=0}^{\\infty} B_k \frac{\\Gamma(n)}{\\Gamma(n + k)} \\), find the recurrence relation for the coefficients \\( B_k \\).\n\na - (k + 1)B_{k+1} - k(2k -... | UltraData |
[
{
"content": "He is not just a classical music superstar. He is a global superstar. Only 27 years old, the Chinese pianist Lang Lang has become an inspiration to tens of millions around the world. Among his dazzling long list of titles, Lang considered UNICEF goodwill ambassador the most special one. \"Being a ... | MMLU-Distilled |
[{"content":"Theorem 8.4.10 (Milner & Shelah, 1974) In a bipartite graph with vertex partition $\\{A(...TRUNCATED) | UltraData |
[{"content":"Answer the following multiple choice question. The last line of your response should be(...TRUNCATED) | Nemotron-Science-v1-MCQ |
[{"content":"Welche Aussage über den Einfluss von Umweltfaktoren auf die Verbreitung von Pflanzenar(...TRUNCATED) | EuroBlocks-SFT-Distilled |
[{"content":"A string t is called nice if a string \"2017\" occurs in t as a subsequence but a strin(...TRUNCATED) | UltraData |
[{"content":"A little white rabbit starts at position 1 and hops along the sides of a \"star.\" On t(...TRUNCATED) | UltraData |
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