conversations listlengths 3 3 |
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[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "Twenty-five coins are being separated into piles in the following manner. First, they are... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "The first term of a sequence is 934. Each following term is equal to the sum of the digit... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "Given the function \\( y = \\frac{\\sqrt{4 - x^2}}{\\lg (|x| + x)} \\), determine its dom... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "Find all extrema of the function \\( y = \\frac{2}{3} \\cos \\left(3x - \\frac{\\pi}{6}\\... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "Let $A=\\{1,2,3,\\ldots,40\\}$ . Find the least positive integer $k$ for which it is p... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "Given \\( x, y, z \\in \\mathbf{R}_{+} \\) and \\( n \\in \\mathbf{N}^{*} \\), prove that... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "Xiaohu uses 6 equilateral triangles with side lengths of 1 to form shapes on a table with... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "\nUsing Abel's transformation, compute the following sums:\n\na) \\(\\sum_{k=1}^{n} k^{2}... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "A sequence of two distinct numbers is extended in two ways: one to form a geometric progr... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "Two people, A and B, are collaborating to type a document. Initially, A types 100 charact... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "For all \\(a, b, c \\in \\mathbf{R}^{+}\\), find the minimum value of \\(\\frac{a}{\\sqrt... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "The sum \\( A = \\left\\lfloor \\frac{8}{9} \\right\\rfloor + \\left\\lfloor \\frac{8^2}{... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "Say that a 4-digit positive integer is *mixed* if it has 4 distinct digits, its leftmost ... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "Evaluate $\\sqrt{12 +\\!\\sqrt{12 + \\!\\sqrt{12 + \\!\\sqrt{12 + \\cdots}}}}$."
},
{... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "In a sequence, each term after the first two terms is the mean of all the terms which com... |
[
{
"role": "system",
"value": "You are ARIA, a math reasoning assistant. Think through problems carefully but concisely inside <think> tags, then provide a clean final answer."
},
{
"role": "user",
"value": "Let $m$ and $n$ be two odd integers with $m, n \\geqslant 3$. In an $m \\times n$ grid, e... |
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