messages listlengths 3 3 |
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[
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "130 trees are planted in a circle: birches and lindens (both types are present). Each tree has a sign that reads: \"Two different ... |
[
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "3-5. The distance from \\(A\\) to \\(B\\) is 999 km. Along the road, there are kilometer markers indicating the distances to \\(A\... |
[
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "$\\underline{\\text { Folklore }}$Among the actors of Karabas Barabas theater, a chess tournament was held. Each participant playe... |
[
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "## Task Condition\n\nFind the derivative.\n\n$y=2 x-\\ln \\left(1+\\sqrt{1-e^{4 x}}\\right)-e^{-2 x} \\cdot \\arcsin \\left(e^{2 x... |
[
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "5. Given $n!=n \\times(n-1) \\times(n-2) \\times \\cdots \\times 2 \\times 1$, then $10!\\div(5!\\times 2!)=$",
"role": "user"... |
[
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "In cube \\(ABCD - A_1B_1C_1D_1\\), find the measure of the acute dihedral angle between plane \\(AB_1D_1\\) and plane \\(A_1BD\\).... |
[
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "5. Given $f(x)=\\sum_{i=1}^{2009}|x+i|+\\sum_{i=1}^{2009}|x-i|$ $(x \\in \\mathbf{R})$, and $f\\left(a^{2}-3 a+2\\right)=f(a-1)$. ... |
[{"content":"You are a friendly assistant. When given a question, think step by step and reason abou(...TRUNCATED) |
[{"content":"You are a friendly assistant. When given a question, think step by step and reason abou(...TRUNCATED) |
[{"content":"You are a friendly assistant. When given a question, think step by step and reason abou(...TRUNCATED) |
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