messages listlengths 3 3 |
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[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Solve the crossword puzzle. You are presented with a clue as input and the number of letters in brackets.\n\nGreat dosh arranged for those looking after some kids? (9)",
"rol... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "d. Assuming most atoms are in the interior of the box, what is the total energy of the atoms in the box?",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Solve the crossword puzzle. You are presented with a clue as input and the number of letters in brackets.\n\nIn remix, bury a vocal that's list of words … (10)",
"role": "use... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Given the rest of reaction components:\nreactant: Cc1ccc2c(cnn2C2CCCCO2)c1B1OC(C)(C)C(C)(C)O1\nligand: CC(C)c1cc(C(C)C)c(-c2ccccc2P(C2CCCCC2)C2CCCCC2)c(C(C)C)c1\nsolvent: C1CCOC1... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A2 Find the electron number density $n_{e}$ at equilibrium when both external ionizers are switched on simultaneously.",
"role": "user"
},
{
"content": "<think>\nOkay... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "You identified several new antigens in a refractory pancreatic solid tumor and want to target them with the chimeric antigen receptor T-cell therapy. You design your chimera so t... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "The solutions to the system of equations \\begin{align*} \\log_{225}{x}+\\log_{64}{y} = 4\\\\ \\log_{x}{225}- \\log_{y}{64} = 1 \\end{align*} are $(x_1,y_1)$ and $(x_2, y_2)$ . F... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Let $a,$ $b,$ $c,$ and $d$ be positive real numbers such that $36a + 4b + 4c + 3d = 25.$ Find the maximum value of\n\\[a \\times \\sqrt{b} \\times \\sqrt[3]{c} \\times \\sqrt[4]... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Let $P$ denote the set of all ordered pairs $ \\left(p,q\\right)$ of nonnegative integers. Find all functions $f: P \\rightarrow \\mathbb{R}$ satisfying\n\\[ f(p,q) \\equal... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Given the rest of reaction components:\nreactant 1: O=S(=O)(Oc1cnc2ccccc2c1)C(F)(F)F\nreactant 2: Cc1ccc2c(cnn2C2CCCCO2)c1B(O)O\nligand: Cc1ccccc1P(c1ccccc1C)c1ccccc1C\nbase: [Li... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Consider the multiplicative group $A=\\{z\\in\\mathbb{C}|z^{2006^k}=1, 0<k\\in\\mathbb{Z}\\}$ of all the roots of unity of degree $2006^k$ for all positive integers $k$ .\n\... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Evaluate\n\n$$\n\\int_{0}^{\\frac{\\pi}{2}} \\ln \\left(9 \\sin ^{2} \\theta+121 \\cos ^{2} \\theta\\right) d \\theta\n$$",
"role": "user"
},
{
"content": "<think>\nO... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A group of clerks is assigned the task of sorting $1775$ files. Each clerk sorts at a constant rate of $30$ files per hour. At the end of the first hour, some of the clerks are r... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "There are a set of RNAs of approximately 200 or more nucleotides in length, that have no or limited coding capacity. Which one of the following statements contains an untruth ab... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "The set $S$ contains nine numbers. The mean of the numbers in $S$ is $202.$ The mean of the five smallest of the numbers in $S$ is $100.$ The mean of the five largest n... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Which one of the following is the least correct statement about the following post-transcription processes?\n\n\nAnswer Choices:\n(A) Some histone mRNAs end in a stem loop struct... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "2.2.1. Derive the expression of $\\Gamma$",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to derive the expression for the gamma function, Γ. Hmm, where do... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Which one of the following in NOT a constraint for detection of very massive black holes with microlensing technique?\nAnswer Choices:\n(A) Wavelength at which the event is obser... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A frog is positioned at the origin of the coordinate plane. From the point $(x, y)$ , the frog can jump to any of the points $(x + 1, y)$ , $(x + 2, y)$ , $(x, y + 1)$ , or $(x, ... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A hexagon that is inscribed in a circle has side lengths $22$ , $22$ , $20$ , $22$ , $22$ , and $20$ in that order. The radius of the circle can be written as $p+\\sqrt{q}$ , whe... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "For any $n \\geq 1$, let $A$ denote the $\\mathbb{C}$ algebra consisting of $n \\times n$ upper triangular complex matrices $\\left\\{\\left(\\begin{array}{ccc}* & * & * \\\\ 0 &... |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "The equation of a digital filter is given by $y(n)=1 / 3(x(n)+x(n-1)+x(n-2))$, where $y(n)$ and $x(n)$ are, respectively, the nth samples of the output and input signals. Determi... |
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