messages listlengths 3 3 |
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[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Generate an executable Python function generated from the given prompt. The function should take... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "How do you kill a god?\nA: theyre immortal\nB: being\nC: assassination\nD: be\nE: vidar",
"r... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "A convex polyhedron is bounded by 4 regular hexagonal faces and 4 regular triangular faces. At e... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "What is $4+10\\div2-2\\cdot3$?",
"role": "user"
},
{
"content": "<think>\nTo solve $... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Each side and each segment \\(A_{i}B_{j} (i, j = 1, 2, \\cdots, 5)\\) of a polygon is either col... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "If for any real number \\( x \\), the function\n\\[ f(x)=x^{2}-2x-|x-1-a|-|x-2|+4 \\]\nalways yi... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "The sum of three terms of a geometric progression is 105. If 15 is subtracted from the third ter... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "When Scott completes the square on the quadratic $x^2 + 8x - 1 = 0$, he obtains an equation of t... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Given that $f(x), g(x)$, and $h(x)$ are real-coefficient polynomials and $f^2(x) = x g^2(x) + x ... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Suppose $z$ is an imaginary number, $\\omega = z + \\frac{1}{z}$ is a real number, and $-1 < \\o... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Kelvin the Frog is hopping on a number line (extending to infinity in both directions). Kelvin s... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Evaluate $\\lfloor -4 -.5 \\rfloor \\cdot \\lceil 4 +.5 \\rceil \\cdot \\lfloor -3 -.5 \\rfloor ... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "A solid wooden rectangular prism measures \\(3 \\times 5 \\times 12\\). The prism is cut in half... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Each cell of an $n \\times n$ chessboard, where $n \\geq 3$ is an integer, contains a lamp. Init... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "At each of the sixteen circles in the network below stands a student. A total of $3360$ coins ar... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Prove that there exists a nonzero complex number \\( c \\) and a real number \\( d \\) such that... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "A chemistry student needs to identify an unknown compound using mass spectrometry. The compound ... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "A regular 12-gon is inscribed in a circle of radius 12. The sum of the lengths of all sides and ... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "If the equation $m x^{2}-2(m+2) x+m+5=0$ has no real roots, then how many real roots does the eq... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "How does the gravitational pull of a black hole affect the orbit of a star located in its vicini... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "If the digit represented by $\\triangle$ satisfies the following addition problem $$ \\begin{arr... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Generate an executable Python function generated from the given prompt. The function should take... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "In a geometric sequence of real numbers, the sum of the first $2$ terms is $7$, and the sum of t... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "In triangle $ABC$ , $AD$ is angle bisector ( $D$ is on $BC$ ) if $AB+AD=CD$ and $AC+AD=B... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Simplify\n\\[\\tan x + 2 \\tan 2x + 4 \\tan 4x + 8 \\cot 8x.\\]The answer will be a trigonometri... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Generate an executable Python function generated from the given prompt. The function should take... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "Can the sum of a finite number of terms of a geometric progression equal zero?",
"role": "us... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "In $\\triangle ABC$, $\\angle ABC=45^\\circ$. Point $D$ is on $\\overline{BC}$ so that $2\\cdot ... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "For which positive integer values of \\( x \\) and \\( y \\) does the following equation hold?\n... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "In this figure $\\angle RFS=\\angle FDR$, $FD=4$ inches, $DR=6$ inches, $FR=5$ inches, $FS=7\\df... |
[
{
"content": "You are a precise, helpful assistant. Always reason step by step inside <think></think> tags, then write your final answer inside <answer></answer> tags.",
"role": "system"
},
{
"content": "In a certain condominium, there are 29 families, each of which owns either one, three, or five c... |
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