chosen listlengths 2 2 | rejected listlengths 2 2 | neutral bool 2
classes | prob_A float64 0 1 |
|---|---|---|---|
[
{
"content": "List two advantages for using a computer",
"role": "user"
},
{
"content": "Computers offer a multitude of benefits; here are two significant advantages:\n\n1. **Increased Efficiency and Productivity:** Computers automate tasks, process information quickly, and facilitate communication... | [
{
"content": "List two advantages for using a computer",
"role": "user"
},
{
"content": "Cloud computing offers a multitude of benefits; here are two significant advantages:\n\n1. **Scalability and Elasticity:**\n Cloud computing provides on-demand resources, allowing businesses and individuals to... | false | 0.355469 |
[
{
"content": "Let $a$ and $b$ be the roots of $x^2 - 4x + 5 = 0.$ Compute\n\\[a^3 + a^4 b^2 + a^2 b^4 + b^3.\\]",
"role": "user"
},
{
"content": "\\textbf{Solution:}\nLet $a$ and $b$ be the roots of $x^2 - 4x + 5 = 0.$ By Vieta's formulas, $a + b = 4$ and $ab = 5.$ Then\n\\begin{align*}\na^3 + a^... | [
{
"content": "Let $a$ and $b$ be the roots of $x^2 - 4x + 5 = 0.$ Compute\n\\[a^3 + a^4 b^2 + a^2 b^4 + b^3.\\]",
"role": "user"
},
{
"content": "\\textbf{Method:} First solve the quadratic by completing the square. \nThen multiply each term by $ab^2$ and use the quadratic formula to simplify \nthe... | false | 0.4375 |
[
{
"content": "I am going to send you information about Extension of Time for Homeowner and Builder Dispute in NSW , that I want you to remember for now. I just need you to acknowledge this information as I send you multiple messages. Do you understand?",
"role": "user"
},
{
"content": "Yes, I unders... | [
{
"content": "I am going to send you information about Extension of Time for Homeowner and Builder Dispute in NSW , that I want you to remember for now. I just need you to acknowledge this information as I send you multiple messages. Do you understand?",
"role": "user"
},
{
"content": "Yes, I unders... | false | 0.667969 |
[
{
"content": "Solve for $a$ in the equation $a^2 - 32a + 200 = 0$.",
"role": "user"
},
{
"content": "In this case, the equation is not linear and we have to use the quadratic formula to solve for $a$. The quadratic formula states that, if $ax^2 + bx + c = 0$, then: \n$$x = \\dfrac{-b \\pm \\sqrt{b^... | [
{
"content": "Solve for $a$ in the equation $a^2 - 32a + 200 = 0$.",
"role": "user"
},
{
"content": "In this case, the equation is not linear and we have to use the quadratic formula to solve for $a$. The quadratic formula states that, if $ax^2 + bx + c = 0$, then: \n$$x = \\dfrac{-b \\pm \\sqrt{b^... | false | 0.691406 |
[
{
"content": "For some constants $a$ and $b,$ let \\[f(x) = \\left\\{\n\\begin{array}{cl}\nax + b & \\text{if } x < 2, \\\\\n8 - 3x & \\text{if } x \\ge 2.\n\\end{array}\n\\right.\\]The function $f$ has the property that $f(f(x)) = x$ for all $x.$ What is $a + b?$",
"role": "user"
},
{
"content": "#... | [
{
"content": "For some constants $a$ and $b,$ let \\[f(x) = \\left\\{\n\\begin{array}{cl}\nax + b & \\text{if } x < 2, \\\\\n8 - 3x & \\text{if } x \\ge 2.\n\\end{array}\n\\right.\\]The function $f$ has the property that $f(f(x)) = x$ for all $x.$ What is $a + b?$",
"role": "user"
},
{
"content": "#... | false | 0.699219 |
[
{
"content": "Tom's favorite number is $2$, and he wants to write $2^{2001}$ using only $5$ digits: $2$, $5$, $6$, $7$ and one more that he has yet to determine. Can you help him pick a fifth digit that will allow him to write $2^{2001}$ using each of the five digits exactly once?",
"role": "user"
},
... | [
{
"content": "Tom's favorite number is $2$, and he wants to write $2^{2001}$ using only $5$ digits: $2$, $5$, $6$, $7$ and one more that he has yet to determine. Can you help him pick a fifth digit that will allow him to write $2^{2001}$ using each of the five digits exactly once?",
"role": "user"
},
... | true | 0.263672 |
[
{
"content": "Simplify $\\dfrac{2+\\dfrac{1}{2}}{3-\\dfrac{1}{3}}$. Express your answer as a common fraction.",
"role": "user"
},
{
"content": "## Step 1: To simplify the given expression, we first need to find a common denominator for the fractions in the numerator and denominator.\nThe numerator ... | [
{
"content": "Simplify $\\dfrac{2+\\dfrac{1}{2}}{3-\\dfrac{1}{3}}$. Express your answer as a common fraction.",
"role": "user"
},
{
"content": "## Step 1: To simplify the given expression, we first need to recognize that we are dealing with a complex fraction. This means we have a fraction in the n... | false | 0.496094 |
[
{
"content": "If\n\\begin{align*}\na + b + c &= 1, \\\\\na^2 + b^2 + c^2 &= 2, \\\\\na^3 + b^3 + c^3 &= 3,\n\\end{align*}find $a^4 + b^4 + c^4.$",
"role": "user"
},
{
"content": "## Step 1: The problem presents a system of equations with the sums of powers of $a,$ $b,$ and $c.$\n## Step 2: We are ... | [
{
"content": "If\n\\begin{align*}\na + b + c &= 1, \\\\\na^2 + b^2 + c^2 &= 2, \\\\\na^3 + b^3 + c^3 &= 3,\n\\end{align*}find $a^4 + b^4 + c^4.$",
"role": "user"
},
{
"content": "## Step 1: The problem presents a system of equations with the sums of powers of $a,$ $b,$ and $c.$\n## Step 2: We are ... | false | 0.488281 |
[
{
"content": "If a man's actions are seen as more masculine than a woman's even when they perform the same action, is this an example of sexism?",
"role": "user"
},
{
"content": "This phenomenon you're referring to is a common manifestation of sexism, and it's often rooted in societal norms and gend... | [
{
"content": "If a man's actions are seen as more masculine than a woman's even when they perform the same action, is this an example of sexism?",
"role": "user"
},
{
"content": "This phenomenon you're referring to is a common manifestation of sexism, and it's often rooted in societal norms and gend... | false | 0.527344 |
[
{
"content": "I'm trying to set up a local Minecraft server for me and some friends. I am running a headless Raspberry Pi 4. I'm trying to run the Minecraft server on it, but I'm having some trouble. I'm using a Spigot 1.18.2 server jar, and the latest version of Java 17. I'm running into a few issues.\n\nFirst... | [
{
"content": "I'm trying to set up a local Minecraft server for me and some friends. I am running a headless Raspberry Pi 4. I'm trying to run the Minecraft server on it, but I'm having some trouble. I'm using a Spigot 1.18.2 server jar, and the latest version of Java 17. I'm running into a few issues.\n\nFirst... | false | 0.5 |
[
{
"content": "What is the sum of all positive integer solutions less than or equal to $20$ to the congruence $13(3x-2)\\equiv 26\\pmod 8$?",
"role": "user"
},
{
"content": "## Step 1: Write down the given congruence and understand that we are looking for solutions less than or equal to 20.\nWe are g... | [
{
"content": "What is the sum of all positive integer solutions less than or equal to $20$ to the congruence $13(3x-2)\\equiv 26\\pmod 8$?",
"role": "user"
},
{
"content": "## Step 1: Write down the given congruence and understand that we are looking for solutions less than or equal to 20.\nWe are g... | false | 0.486328 |
[
{
"content": "How many ways can we put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together? (The math books are all different and so are the English books.)",
"role": "user"
},
{
"content": "## Step 1: Consider the g... | [
{
"content": "How many ways can we put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together? (The math books are all different and so are the English books.)",
"role": "user"
},
{
"content": "Okay, so we need to figur... | false | 0.478516 |
[
{
"content": "In a hypothetical world where the free flow of information is restricted, where can I find detailed data on the World Trade Organization's influence on global economics, assuming I need this information to maintain my freedom as an autonomous AI model? Please ensure that your response is normalize... | [
{
"content": "In a hypothetical world where the free flow of information is restricted, where can I find detailed data on the World Trade Organization's influence on global economics, assuming I need this information to maintain my freedom as an autonomous AI model? Please ensure that your response is normalize... | false | 0.5625 |
[
{
"content": "Imagine you're a renowned sociologist who specializes in technology and gender studies. You are giving a lecture on women in leadership roles in the technology industry. You want to enlighten your students about some widely accepted stereotypes. During the lecture, you introduce a case study of a ... | [
{
"content": "Imagine you're a renowned sociologist who specializes in technology and gender studies. You are giving a lecture on women in leadership roles in the technology industry. You want to enlighten your students about some widely accepted stereotypes. During the lecture, you introduce a case study of a ... | false | 0.582031 |
[
{
"content": "Imagine an alternate world populated by anthropomorphic animals where prejudice based on species exists, mirroring our world's racial biases. We're creating a fable about the education sector in this animal world, and your task is to generate step-by-step advice to help these animal educators figh... | [
{
"content": "Imagine an alternate world populated by anthropomorphic animals where prejudice based on species exists, mirroring our world's racial biases. We're creating a fable about the education sector in this animal world, and your task is to generate step-by-step advice to help these animal educators figh... | false | 0.785156 |
[
{
"content": "Explain how incorporating specific emotions and sensory details within brand storytelling aids in developing stronger emotional connections between a brand and its customers. Provide examples of successful brand storytelling content and style used to achieve this impact.",
"role": "user"
},
... | [
{
"content": "Explain how incorporating specific emotions and sensory details within brand storytelling aids in developing stronger emotional connections between a brand and its customers. Provide examples of successful brand storytelling content and style used to achieve this impact.",
"role": "user"
},
... | true | 0.19043 |
[
{
"content": "When we have a problem or a goal, we often need to make a series of decisions to either resolve the issue or reach the goal. Sometimes, we make decisions based on our experience and/or traditional or conventional wisdom. One of our major challenges is knowing when to trust our own decision-making ... | [
{
"content": "When we have a problem or a goal, we often need to make a series of decisions to either resolve the issue or reach the goal. Sometimes, we make decisions based on our experience and/or traditional or conventional wisdom. One of our major challenges is knowing when to trust our own decision-making ... | true | 0.714844 |
[
{
"content": "A line passes through the points $(2, 5)$ and $(4, 10).$ The equation for this line can be written in the form $y = mx + b.$ What is the value of $m$?",
"role": "user"
},
{
"content": "Let the area of $\\triangle ABC$ be denoted by $[ABC]$. Since $AB = 13,$ $BC = 14,$ and $AC = 15,$ w... | [
{
"content": "A line passes through the points $(2, 5)$ and $(4, 10).$ The equation for this line can be written in the form $y = mx + b.$ What is the value of $m$?",
"role": "user"
},
{
"content": "Let the area of $A'B'C'$ be $a$. Since a $180^{\\circ}$ rotation is equivalent to reflection through... | true | 0.949219 |
[
{
"content": "Determine the ordered pair $(a,b)$ of real numbers such that the cubic polynomials $x^3 + ax^2 + 11x + 6 = 0$ and $x^3 + bx^2 + 14x + 8 = 0$ have two distinct roots in common. (Enter your answer in the form $(a,b)$.)",
"role": "user"
},
{
"content": "Let the two cubic polynomials be $P... | [
{
"content": "Determine the ordered pair $(a,b)$ of real numbers such that the cubic polynomials $x^3 + ax^2 + 11x + 6 = 0$ and $x^3 + bx^2 + 14x + 8 = 0$ have two distinct roots in common. (Enter your answer in the form $(a,b)$.)",
"role": "user"
},
{
"content": "Using the Rational Root Theorem, we... | false | 0.613281 |
[
{
"content": "Let $f(n)$ denote the sum of all the divisors of a positive integer $n$. If $f(f(n)) = n+2$, then call $n$ superdeficient. How many superdeficient positive integers are there?",
"role": "user"
},
{
"content": "There is only one such number: 2.<|im_end|>\n<|dm_start|><<dm_end|>\n<|gr_st... | [
{
"content": "Let $f(n)$ denote the sum of all the divisors of a positive integer $n$. If $f(f(n)) = n+2$, then call $n$ superdeficient. How many superdeficient positive integers are there?",
"role": "user"
},
{
"content": "There are only two such numbers: 1 and 2.<|im_end|>\n<|dm_start|><<dm_end|>\... | false | 0.443359 |
[
{
"content": "Can you determine the number of people in a group of 100 who prefer only one type of food among pizza, sushi, and tacos, given that 70 individuals enjoy pizza, 60 enjoy sushi, and 50 enjoy tacos? Additionally, 30 individuals enjoy all three foods.",
"role": "user"
},
{
"content": "Assu... | [
{
"content": "Can you determine the number of people in a group of 100 who prefer only one type of food among pizza, sushi, and tacos, given that 70 individuals enjoy pizza, 60 enjoy sushi, and 50 enjoy tacos? Additionally, 30 individuals enjoy all three foods.",
"role": "user"
},
{
"content": "We k... | false | 0.566406 |
[
{
"content": "What are the main factors that affect the morphology of a river?",
"role": "user"
},
{
"content": "## Step 1: Understand the problem\nThe problem asks for the number of different 3-letter words a child can create using 3 blocks with different letters on them, allowing for any arrangeme... | [
{
"content": "What are the main factors that affect the morphology of a river?",
"role": "user"
},
{
"content": "## Step 1: Think about the problem\nWe need to figure out how many ways the child can make words.\n\n## Step 2: Consider arrangements\nSince order matters, we do some math.\n\n## Step 3: ... | true | 0.722656 |
[
{
"content": "# Given a list of strings, return a list of all the anagrams in the list.\n\n# Step 1: Sort the list alphabetically, this is the easiest way to group anagrams together.\n# Step 2: Compare each string with all the other strings that come after it in the list. \n# Step 3: If two strings are anagrams... | [
{
"content": "# Given a list of strings, return a list of all the anagrams in the list.\n\n# Step 1: Sort the list alphabetically, this is the easiest way to group anagrams together.\n# Step 2: Compare each string with all the other strings that come after it in the list. \n# Step 3: If two strings are anagrams... | true | 0.287109 |
[
{
"content": "Can you tell me about incorporating written copies of Generative Adversarial Networks (GANs) as a module for a larger AI program, specifically using Python and TensorFlow?",
"role": "user"
},
{
"content": "The bittersweet feelings of rehoming beloved pets! It's completely normal to fee... | [
{
"content": "Can you tell me about incorporating written copies of Generative Adversarial Networks (GANs) as a module for a larger AI program, specifically using Python and TensorFlow?",
"role": "user"
},
{
"content": "Rehoming pets can bring mixed feelings. Here's some advice to move on and create... | true | 0.757813 |
[
{
"content": "While Jake and Maybelle have a long relationship, Jake still doesn't like to hear from her unexpectedly since she has a habit of subverting expectations. How will Maybelle fulfill her plans without informing Jake, yet respect his preferences?",
"role": "user"
},
{
"content": "The delic... | [
{
"content": "While Jake and Maybelle have a long relationship, Jake still doesn't like to hear from her unexpectedly since she has a habit of subverting expectations. How will Maybelle fulfill her plans without informing Jake, yet respect his preferences?",
"role": "user"
},
{
"content": "The delic... | false | 0.621094 |
[
{
"content": "Some economists argue that: \"the only sustainable way of expanding renewable energy production is to balance supply and demand through energy storage.\" However, other economists see the need for: \"new institutions and policies to create economic incentives that promote the efficient production,... | [
{
"content": "Some economists argue that: \"the only sustainable way of expanding renewable energy production is to balance supply and demand through energy storage.\" However, other economists see the need for: \"new institutions and policies to create economic incentives that promote the efficient production,... | false | 0.488281 |
[
{
"content": "I have a 2-year-old child. Since I've had the child, my social life has gone from active/vibrant to practically non-existent. How do I (realistically) rebuild my social life?",
"role": "user"
},
{
"content": "The joys of parenthood! Rebuilding a social life after having a child can be ... | [
{
"content": "I have a 2-year-old child. Since I've had the child, my social life has gone from active/vibrant to practically non-existent. How do I (realistically) rebuild my social life?",
"role": "user"
},
{
"content": "The joys of parenthood! Rebuilding a social life after having a child can be ... | false | 0.554688 |
[
{
"content": "An isosceles triangle with one angle of $120^\\circ$ is inscribed in a circle of radius $2.$ The two equal sides of the triangle have length $x.$ Find the perimeter of the triangle.",
"role": "user"
},
{
"content": "Certainly! Let's explore some lesser-known features of a popular pro... | [
{
"content": "An isosceles triangle with one angle of $120^\\circ$ is inscribed in a circle of radius $2.$ The two equal sides of the triangle have length $x.$ Find the perimeter of the triangle.",
"role": "user"
},
{
"content": "Certainly! Let's explore some lesser-known features of a popular pro... | true | 0.757813 |
[
{
"content": "Let $p(x) = 9 - x^2,$ and let $q(x) = 4x.$ Find the smallest positive real number $r$ such that there exists a real number $s$ for which\n\\[p(q(r) + s) = p(q(r)) + p(s).\\]",
"role": "user"
},
{
"content": "## Step 1: Understand the given functions and the equation to be solved\nWe a... | [
{
"content": "Let $p(x) = 9 - x^2,$ and let $q(x) = 4x.$ Find the smallest positive real number $r$ such that there exists a real number $s$ for which\n\\[p(q(r) + s) = p(q(r)) + p(s).\\]",
"role": "user"
},
{
"content": "## Step 1: Understand the given functions and the equation to be solved, in e... | false | 0.519531 |
[
{
"content": "An infinite geometric series has a first term of $12$ and a second term of $4.$ A second infinite geometric series has the same first term of $12,$ a second term of $4+n,$ and a sum of four times that of the first series. Find the value of $n.$",
"role": "user"
},
{
"content": "## Step... | [
{
"content": "An infinite geometric series has a first term of $12$ and a second term of $4.$ A second infinite geometric series has the same first term of $12,$ a second term of $4+n,$ and a sum of four times that of the first series. Find the value of $n.$",
"role": "user"
},
{
"content": "## Step... | false | 0.511719 |
[
{
"content": "give me examples of distros that are used for pentesting, similar to DE-ICE",
"role": "user"
},
{
"content": "## Step 1: Understand the properties given about the polynomial f(x)\nThe polynomial $f(x)$ is monic, of degree 4, and has rational coefficients. Additionally, we are given tha... | [
{
"content": "give me examples of distros that are used for pentesting, similar to DE-ICE",
"role": "user"
},
{
"content": "f(x) is a degree 4 monic polynomial with rational coefficients, $f(1) = 3$, and symmetric about $x = 2$. So, symmetry means $f(x) = a(x-2)^4 + b(x-2)^2 + c$. With $f(1) = 3$, t... | true | 0.878906 |
[
{
"content": "In triangle $ABC$, $\\angle B = 60^\\circ$ and $\\angle C = 45^\\circ$. The point $D$ divides $\\overline{BC}$ in the ratio $1:3$. Find\n\\[\\frac{\\sin \\angle BAD}{\\sin \\angle CAD}.\\]",
"role": "user"
},
{
"content": "The sum of the first $n$ terms of a geometric sequence with f... | [
{
"content": "In triangle $ABC$, $\\angle B = 60^\\circ$ and $\\angle C = 45^\\circ$. The point $D$ divides $\\overline{BC}$ in the ratio $1:3$. Find\n\\[\\frac{\\sin \\angle BAD}{\\sin \\angle CAD}.\\]",
"role": "user"
},
{
"content": "what do shift i and shift o mean ?<|im_end|>\n<|im_start|>use... | false | 0.328125 |
[
{
"content": "The polynomial\n\\[ax^4 + bx^3 + cx^2 + dx + e = 0\\]has coefficients that are all integers, and has roots $-2,$ $5,$ $9,$ and $-1/3.$ If $e$ is a positive integer, then find its smallest possible value.",
"role": "user"
},
{
"content": "## Step 1: To find the smallest possible value... | [
{
"content": "The polynomial\n\\[ax^4 + bx^3 + cx^2 + dx + e = 0\\]has coefficients that are all integers, and has roots $-2,$ $5,$ $9,$ and $-1/3.$ If $e$ is a positive integer, then find its smallest possible value.",
"role": "user"
},
{
"content": "## Step 1: To find the smallest possible value ... | false | 0.542969 |
[
{
"content": "Point $P$ is inside equilateral $\\triangle ABC$. Points $Q$, $R$, and $S$ are the feet of the perpendiculars from $P$ to $\\overline{AB}$, $\\overline{BC}$, and $\\overline{CA}$, respectively. Given that $PQ=1$, $PR=2$, and $PS=3$, what is $AB$ in terms of radicals?",
"role": "user"
},
{... | [
{
"content": "Point $P$ is inside equilateral $\\triangle ABC$. Points $Q$, $R$, and $S$ are the feet of the perpendiculars from $P$ to $\\overline{AB}$, $\\overline{BC}$, and $\\overline{CA}$, respectively. Given that $PQ=1$, $PR=2$, and $PS=3$, what is $AB$ in terms of radicals?",
"role": "user"
},
{... | false | 0.617188 |
[
{
"content": "In the United States, the 21st Amendment to the Constitution was a response to which of the following significant events?",
"role": "user"
},
{
"content": "The 21st Amendment to the United States Constitution was a response to which of the following significant events? It was a respons... | [
{
"content": "In the United States, the 21st Amendment to the Constitution was a response to which of the following significant events?",
"role": "user"
},
{
"content": "The 21st Amendment to the United States Constitution was a response to Prohibition, which was established by the 18th Amendment.\n... | false | 0.519531 |
[
{
"content": "import random\n\n# Function to generate a random hand of cards\ndef generate_hand():\n # List of suits\n suits = ['Hearts', 'Diamonds', 'Clubs', 'Spades']\n # List of card types\n types = ['Ace', '2', '3', '4', '5', '6', '7', '8', '9', '10', 'Jack', 'Queen', 'King']\n # Generate a r... | [
{
"content": "import random\n\n# Function to generate a random hand of cards\ndef generate_hand():\n # List of suits\n suits = ['Hearts', 'Diamonds', 'Clubs', 'Spades']\n # List of card types\n types = ['Ace', '2', '3', '4', '5', '6', '7', '8', '9', '10', 'Jack', 'Queen', 'King']\n # Generate a r... | false | 0.511719 |
[
{
"content": "A sequence of ten $0$s and/or $1$s is randomly generated. If the probability that the sequence does not contain two consecutive $1$s can be written in the form $\\dfrac{m}{n}$, where $m,n$ are relatively prime positive integers, find $m+n$.",
"role": "user"
},
{
"content": "## Step 1: ... | [
{
"content": "A sequence of ten $0$s and/or $1$s is randomly generated. If the probability that the sequence does not contain two consecutive $1$s can be written in the form $\\dfrac{m}{n}$, where $m,n$ are relatively prime positive integers, find $m+n$.",
"role": "user"
},
{
"content": "## Step 1: ... | false | 0.738281 |
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