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[
{
"content": "You are given a function that checks if an input argument is a non-empty list or tuple of strings. Your task is to implement a function `check_format(instruction: str, arg: Union[list, tuple], argname: str) -> None` that takes three parameters: `instruction` (a string describing the instruction), ... |
[
{
"content": "Find the number of functions $g(n),$ taking the positive integers to the positive integers, such that\n\\[g(a \\cdot b) + g(a + b) = g(a) + g(b) + g(a) \\cdot g(b)\\]for all positive integers $a$ and $b.$",
"role": "user"
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{
"content": "<think> Okay, so I need to find the number of f... |
[
{
"content": "Let $\\triangle ABC$ be a right triangle such that $B$ is a right angle. A circle with diameter $BC$ intersects the side $AC$ at point $D$. If the area of $\\triangle ABC$ is $240$ and $BD = 10$, then what is the length of $AC$?",
"role": "user"
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{
"content": "<think> Okay, so I have... |
[
{
"content": "You are tasked with analyzing the foot sensor values from a robotic system. The system has two feet, each equipped with four force sensors: front left, front right, rear left, and rear right. Your goal is to implement a function `get_force_sensor_totals(left: List[float], right: List[float]) -> Tu... |
[
{
"content": "### 13. Energetics of PEP hydrolysis\\n(Integrates with Chapter 3.) The standard free energy change (ΔG°’) for hydrolysis of phosphoenolpyruvate (PEP) is -62.2 kJ/mol. The standard free energy change (ΔG°’) for ATP hydrolysis is -30.5 kJ/mol.\\n\\na. What is the standard free energy change for the... |
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{
"content": "(a) S' = -k_m(S - T_m). S(0) = 0.",
"role": "user"
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"content": "<think> Okay, so I need to solve this differential equation: S' = -k_m*(S - T_m), with the initial condition S(0) = 0. Hmm, let's see. First, this looks like a first-order linear ordinary differential equation. The gen... |
[
{
"content": "Let the ordered triples $(x,y,z)$ of complex numbers that satisfy\n\\begin{align*}\nx + yz &= 3, \\\\\ny + xz &= 5, \\\\\nz + xy &= 5.\n\\end{align*}be $(x_1,y_1,z_1),$ $(x_2,y_2,z_2),$ $\\dots,$ $(x_n,y_n,z_n).$ Find $y_1 + y_2 + \\dots + y_n.$",
"role": "user"
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{
"content": "<thin... |
[
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"content": "Alex is a cybersecurity researcher who is studying the vulnerabilities of online gambling platforms. As part of his research, Alex is analyzing data from a casino's server logs. He notices that there are two types of attacks occurring: phishing attacks and DDoS attacks. Over the past week, Alex re... |
[
{
"content": "Write a program that, given a string s as input via standard input, outputs a list of unique alphabetic characters (both lowercase and uppercase letters) from s, in the order of their first appearance. Non-alphabetic characters should be ignored. Do not use any built-in Python set or dictionary da... |
[
{
"content": "A cube has exactly six faces and twelve edges. How many vertices does a cube have?\n(A) 4\n(B) 5\n(C) 6\n(D) 7\n(E) 8 Wrap your entire response with double quotation marks.",
"role": "user"
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"content": "<think>Okay, so I need to figure out how many vertices a cube has. The question... |
[
{
"content": "List three national parks that can be reached by car from Joel’s home state of Tennessee with no comma in the answer.",
"role": "user"
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"content": "<think>\nOkay, let's see. The user wants three national parks reachable by car from Tennessee without using commas in the answer. Firs... |
[
{
"content": "Find the sum of all solutions to the equation $\\sqrt{|x-2|} = \\sqrt{x} - 2$.",
"role": "user"
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"content": "<think> Okay, so I have this equation here: the square root of the absolute value of (x minus 2) equals the square root of x minus 2. I need to find the sum of all solutions... |
[
{
"content": "Catecholamines (epinephrine and norepinephrine) can be converted to fluorescent compounds (called lutines) by oxidation and treatment with alkali. The concentration of total catecholamine can then be determined by excitation at 405 nm and fluorescence intensity measurements at 495 nm. (These two w... |
[
{
"content": "Check Your Learning \nWhat volume of O2(g) measured at 25 °C and 760 torr is required to react with 17.0 L of ethylene, C2H4(g), measured under the same conditions of temperature and pressure? The products are CO2 and water vapor. What volume of O2(g) measured at 25 °C and 760 torr is required to... |
[
{
"content": "If the rate of the autocatalytic reaction $A + B \\rightarrow 2B$ is \\n\\n\\[ \\nv = kab, \\n\\]\\n\\nthen the concentration vs. time functions of the two substances are given by the formulas \\n\\n\\[\\na(t) = \\frac{a_0(a_0 + b_0)}{b_0 e^{(a_0 + b_0)kt} + a_0} ; \\quad b(t) = \\frac{b_0(a_0 + b... |
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{
"content": "If $p, q,$ and $r$ are three non-zero integers such that $p + q + r = 26$ and\\[\\frac{1}{p} + \\frac{1}{q} + \\frac{1}{r} + \\frac{360}{pqr} = 1,\\] compute $pqr$.\n",
"role": "user"
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{
"content": "<think> Okay, so I have this problem here where I need to find the product pqr given ... |
[
{
"content": "Write a 7-sentence short story about a memorable Southern dinner party featuring fried chicken and cornbread. Each sentence must contain at least 8 words that include the letter 'n' (not just the letter 'n,' but any word containing the letter 'n'). Also, include at least one palindrome somewhere i... |
[
{
"content": "Determine the number of real solutions for the equation $\\sqrt{x} + \\sqrt{y} = \\sqrt{2023}$ where $x$ and $y$ are positive integers.",
"role": "user"
},
{
"content": "<think> Okay, so I need to figure out how many real solutions there are for the equation √x + √y = √2023, where x an... |
[
{
"content": "Let $M$ be the midpoint of side $AB$ of triangle $ABC$. Let $P$ be a point on $AB$ between $A$ and $M$, and let $MD$ be drawn parallel to $PC$ and intersecting $BC$ at $D$. If the ratio of the area of triangle $BPD$ to that of triangle $ABC$ is denoted by $r$, then\n$\\text{(A) } \\frac{1}{2}<r<1 ... |
[
{
"content": "The \\( X^1A_1 \\rightarrow \\tilde{A} \\) electronic excitation of CH\\(_3\\)I(g) at 260 nm results in the following two competing photodissociation reactions:\\n\\n- CH\\(_3\\)I(g) + \\( h\\nu \\rightarrow \\) CH\\(_3\\)(g) + I(g)\\(^2P_{3/2}\\)\\n- \\(\\rightarrow \\) CH\\(_3\\)(g) + I\\(^*(g)\... |
[
{
"content": "Write a Python program that multiplies two matrices. The matrices are provided via standard input.\n\nInput Format:\n- The first line contains two integers n and m, representing the number of rows and columns in the first matrix A.\n- The next n lines each contain m integers, representing the rows... |
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{
"content": "Write a Python program that reads a non-negative integer n from standard input, and outputs the nth Fibonacci number to standard output.\n\nInput:\nA single non-negative integer n (0 ≤ n ≤ 90).\n\nOutput:\nOutput the nth Fibonacci number.\n\nExample\nInput:\n4\n\nOutput:\n3",
"role": "user"
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[
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"content": "A segment with a central angle of $\\frac{\\pi}{3}$ is cut from a circle with a radius of 9. The radius of the circle inscribed within the segment is:\n\n$$\\textbf{(A)}\\ 3 \\tan \\frac{\\pi}{6} \\qquad \\textbf{(B)}\\ 3 \\sin \\frac{\\pi}{6} \\qquad \\textbf{(C)}\\ 3 \\cos \\frac{\\pi}{6} \\qqua... |
[
{
"content": "An old type of miner's lamp burns acetylene, C2H2, which is made in situ by dropping water onto calcium carbide, CaC2. The lamp designer is concerned about how hot the calcium carbide chamber will get. Calculate the heat produced, in kilojoules per liter (S.T.P.) of C2H2 generated. (See Problem 7.... |
[
{
"content": "In exactly two paragraphs, describe which of the following fertilizer types—('granular', 'liquid', 'organic')—is best suited for growing tomatoes in Houston’s climate. Ensure you choose one from the options provided. Additionally, do not use the words “baseball,” “stadium,” or “team” anywhere in y... |
[
{
"content": "You are given a list of lists of integers. Your task is to implement a function `flatten_and_sum(nested_lists: List[List[int]]) -> List[int]` that flattens the input list of lists and returns a single list containing the cumulative sum of the elements at each index. The length of the returned list... |
[
{
"content": "In triangle $XYZ$, $XY = 5$, $XZ = 12$, and $YZ = 13$. The medians $XM$, $YN$, and $ZO$ of triangle $XYZ$ intersect at the centroid $H$. Let the projections of $H$ onto $YZ$, $XZ$, and $XY$ be $S$, $T$, and $U$, respectively. Find $HS + HT + HU$.",
"role": "user"
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{
"content": "<t... |
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{
"content": "CONSECUTIVE SAPONIFICATIONS\\n\\nGlycol diacetate (A) and glycol monoacetate (B) saponify in dilute aqueous solution with production of acetic acid (C). The reactions are irreversible pseudo first order.\\n\\n\\[\\nA + H_2O \\xrightarrow{\\frac{1}{2}} B + C, \\quad B + H_2O \\xrightarrow{\\frac{2}... |
[
{
"content": "Suggest three discussion topics for my next chess night that relate to engineering principles applied to board games use no comma in your response and present your suggestions as a numbered list",
"role": "user"
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{
"content": "<think>\nOkay, the user wants three chess night discussio... |
[
{
"content": "Given two matrices A and B represented as lists of lists in Python, write a program that reads these two matrices from standard input, multiplies them, and prints the resulting matrix. If the multiplication is not possible (the number of columns in A does not equal the number of rows in B), the pr... |
[
{
"content": "Write a 4-paragraph email in ENGLISH AND IN CAPITAL LETTERS to the editor of the Sarasota Foodie Magazine, nominating my grandmother’s KEY LIME PIE recipe for their upcoming “Classic Recipes” feature. EACH PARAGRAPH MUST BE 3 SENTENCES LONG, AND THE FIRST WORD OF THE THIRD PARAGRAPH SHOULD BE \"AD... |
[
{
"content": "A SULFONE AND HYDRAZINE\\n\\nThe reaction of phenyl α-disulfone with hydrazine,\\n\\nPhSO_2SO_2Ph (A) + \\text{N}_2\\text{H}_4 \\text{ (B)} \\rightarrow \\text{PhSO}_2\\text{NHNH}_2 + \\text{PhSO}_2\\text{H}\\n\\nwas studied by Kice & Legan (JACS 95 3912, 1073). In runs with initial concentrations... |
[
{
"content": "Write a Python program that reads a list of integers from standard input (entered on a single line, separated by spaces), and then outputs a dictionary with the frequency of each integer in the list. The program should ignore negative numbers and only count numbers greater than or equal to zero.\n... |
[
{
"content": "There are 10 people sitting around a circular table, each wearing a different colored hat. How many ways can they arrange themselves around the table if the arrangements that are mirror images of each other (i.e., the arrangement obtained by reversing the order of people around the table) are cons... |
[
{
"content": "question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?\nOptions:\n(A) 820 acres\n(B) 660 acres\n(C) 620 acres\n(D) 720 acres\n(E) 920 acres\nanswer: Stream of consciousness: 12 men 120 acres 36 days\n44 men ? 54 days\n120 * 44/12 * 54/36\n10 *... |
[
{
"content": "You are given two lists as input: one containing names (as strings) and the other containing heights (as integers). The i-th name in the names list corresponds to the i-th height in the heights list. Your task is to output the names sorted by their corresponding heights in descending order. If two... |
[
{
"content": "Problem Statement\nYou are given two arrays of positive integers.\n• Array A contains n elements: a1, a2, …, an (1 ≤ n ≤ 100, 1 ≤ ai ≤ 200).\n• Array B contains m elements: b1, b2, …, bm (1 ≤ m ≤ 100, 1 ≤ bi ≤ 200).\n\nYour task is to choose one element a from A and one element b from B so that th... |
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{
"content": "Given that $z$ is a complex number satisfying the equation $\\frac{z}{\\bar{z}} + z = 1 - 6i$, determine the complex number $z$. Note that $\\bar{z}$ denotes the conjugate of $z$.",
"role": "user"
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{
"content": "<think> Okay, so I need to find the complex number z that satisfies the ... |
[
{
"content": "A truncated cone has horizontal bases with radii 18 and 2. A sphere is tangent to the top, bottom, and lateral surface of the truncated cone. What is the radius of the sphere?",
"role": "user"
},
{
"content": "<think> Okay, so I need to find the radius of a sphere that's tangent to bot... |
[
{
"content": "Let \\(x = \\sqrt{2} - 1\\). Simplify the expression\n\\[\\frac{x^{1 - \\sqrt{3}}}{(x + 2)^{1 + \\sqrt{3}}},\\]writing your answer as \\(a - b \\sqrt{c},\\) where \\(a,\\) \\(b,\\) and \\(c\\) are positive integers, and \\(c\\) is not divisible by the square of a prime.",
"role": "user"
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... |
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{
"content": "[TEACHER] Of the below sentences, which one does *not* make sense?\nOptions:\n- Sentence A: \"There is a laptop in the fridge.\"\n- Sentence B: \"There is some lunch meat in the fridge.\"\n\n[Student] People us fridges to preserve food and not in organic things like electronics.\nThe answer is Sen... |
[
{
"content": "Let $O$ be the origin. There exists a scalar $k$ so that for any points $A,$ $B,$ $C,$ $D,$ and $E$ such that\n\\[2 \\overrightarrow{OA} + 3 \\overrightarrow{OB} - 4 \\overrightarrow{OC} + 2 \\overrightarrow{OD} + k \\overrightarrow{OE} = \\mathbf{0},\\]the five points $A,$ $B,$ $C,$ $D,$ and $E$ ... |
[
{
"content": "Of the $500$ balls in a large bag, $80\\%$ are red and the rest are blue. How many of the red balls must be removed so that $75\\%$ of the remaining balls are red?\n$\\textbf{(A)}\\ 25\\qquad\\textbf{(B)}\\ 50\\qquad\\textbf{(C)}\\ 75\\qquad\\textbf{(D)}\\ 100\\qquad\\textbf{(E)}\\ 150$ Answer wit... |
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{
"content": "For positive real numbers $a,$ $b,$ and $c,$ compute the minimum value of\n\\[\\frac{a^2b^2 + b^2c^2 + c^2a^2}{a^2bc + ab^2c + abc^2}.\\]",
"role": "user"
},
{
"content": "<think> Alright, so I need to find the minimum value of the expression \\(\\frac{a^2b^2 + b^2c^2 + c^2a^2}{a^2bc +... |
[
{
"content": "Write a Python program that reads a list of integers from standard input and computes their sum. The list of integers is provided on a single line, separated by spaces. The program should output the total sum.\n\nInput Format:\n- A single line containing space-separated integers.\n\nOutput Format:... |
[
{
"content": "You are to design a command-line program that simulates a REST API endpoint for retrieving a list of books from a library database. The program should accept the following inputs via standard input:\n\n- An integer N, specifying the number of books in the library.\n- The next N lines each contain ... |
[
{
"content": "### P4.0.12 AMMONIA. IDEAL AND REAL EQUILIBRIUM CONSTANTS\\n\\nFor the ammonia synthesis, \\(0.5 \\, \\text{N}_2 + 1.5 \\, \\text{H}_2 \\rightleftharpoons \\text{NH}_3\\), the correction for nonideality at 700 K and 300 atm is given as \\( K_{\\phi} = 0.72 \\) (Hougen & Watson, Thermodynamics p 10... |
[
{
"content": "The order of reaction A → Products, may be given by which of the following expression(s)?\\n\\n (a) \\( \\frac{\\ln r_2 - \\ln r_1}{\\ln[A]_2 - \\ln[A]_1} \\)\\n \\n (b) \\( \\frac{\\ln[A]_0 - \\ln[A]_t}{\\ln[t_{1/2}]_2 - \\ln[t_{1/2}]_1} \\)\\n \\n (c) \\( 1 + \\frac{\\ln[A]_0 - \\ln[A]... |
[
{
"content": "The polynomial $$P(x) = x^3 + ax^2 + bx + c$$ has the property that $$P(1)P(2)P(3) = P(0)P(4)P(5)$$ and $$P(0) + P(1) + P(2) + P(3) + P(4) + P(5) = 30$$\nFind the value of $a+b+c$.",
"role": "user"
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{
"content": "<think> Okay, let's try to tackle this problem step by step. It's about... |
[
{
"content": "Let $a,b,c$ be the roots of $x^3-9x^2+11x-1=0$, and let $s=\\sqrt{a}+\\sqrt{b}+\\sqrt{c}$. Find $s^4-18s^2-8s$.",
"role": "user"
},
{
"content": "<think> Alright, so I have this problem here: given that a, b, c are the roots of the cubic equation x³ - 9x² + 11x - 1 = 0, and I need to ... |
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