conversations listlengths 2 2 | prompt_educational_score float64 0.38 0.99 | response_educational_score float64 0.56 0.99 | average_educational_score float64 0.51 0.99 |
|---|---|---|---|
[
{
"from": "human",
"value": "The acute angles of a particular isosceles trapezoid each measure 40 degrees. What is the measure, in degrees, of each obtuse angle in the trapezoid?"
},
{
"from": "gpt",
"value": "1. Start by understanding the properties of the given shape, which is an isosceles tra... | 0.854597 | 0.984324 | 0.919461 |
[
{
"from": "human",
"value": "If $x$ is a real number and $x^2-7x+6<0$, what are the possible values for $x$? Use interval notation to express your answer."
},
{
"from": "gpt",
"value": "1. The problem is asking for the values of $x$ that make the quadratic $x^2-7x+6$ less than zero.\n2. I recogn... | 0.798936 | 0.940219 | 0.869577 |
[
{
"from": "human",
"value": "Radioactive waste from nuclear power plants has been temporarily stored on-site, but this is not a satisfactory kind of place for long-range storage. Since no suitable plan of safe permanent storage of such waste from the nation' s existing and planned nuclear plants has been de... | 0.961622 | 0.971853 | 0.966737 |
[
{
"from": "human",
"value": "How can I create a React application that has two buttons \"Log in\" and \"Sign up\", and performs different actions when each button is clicked? None"
},
{
"from": "gpt",
"value": "1. The task is to create a React application with two buttons, \"Log in\" and \"Sign ... | 0.681855 | 0.887784 | 0.784819 |
[
{
"from": "human",
"value": "Below is a portion of the graph of a quadratic function, $y=q(x)=ax^2+bx+c$:\n\n[asy]\nimport graph; size(8cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-0.99,xmax=10.5,ymin=-5.5,ymax=5.5;\n\npen cqcqcq=rgb(0.75,0.75,0.75);\n/*g... | 0.914407 | 0.976394 | 0.9454 |
[
{
"from": "human",
"value": "Which of the following contains a vague pronoun reference?\nA: Right after Martina bought the book for her literature class, she dropped it.\nB: Right after she bought it, Martina dropped the book for her literature class."
},
{
"from": "gpt",
"value": "1. The instru... | 0.849096 | 0.981512 | 0.915304 |
[
{
"from": "human",
"value": "Find the product of the nonreal roots of $x^4-4x^3+6x^2-4x=2005.$"
},
{
"from": "gpt",
"value": "1. The instruction asks for the product of the nonreal roots of the given equation. \n2. I notice that the left-hand side of the equation resembles the expansion of $(x-1... | 0.660218 | 0.891201 | 0.77571 |
[
{
"from": "human",
"value": "The ancient Nubians inhabited an area in which typhus occurs, yet surprisingly few of their skeletons show the usual evidence of this disease. The skeletons do show deposits of tetracycline, an antibiotic produced by a bacterium common in Nubian soil. This bacterium can flourish... | 0.972157 | 0.965939 | 0.969048 |
[
{
"from": "human",
"value": "Let $x$ and $y$ be positive real numbers. Find the minimum value of\n\\[\\left( x + \\frac{1}{y} \\right) \\left( x + \\frac{1}{y} - 2018 \\right) + \\left( y + \\frac{1}{x} \\right) \\left( y + \\frac{1}{x} - 2018 \\right).\\]"
},
{
"from": "gpt",
"value": "1. Star... | 0.730335 | 0.95596 | 0.843148 |
[
{
"from": "human",
"value": "An airline serves a dinner to all the passengers on an airplane. They get their choice of steak or fish. Three steak meals and three fish meals are set aside for the six-member crew. If the meals are distributed to the crew members randomly, what is the probability that both pil... | 0.889839 | 0.937615 | 0.913727 |
[
{
"from": "human",
"value": "Henry walked on a flat field 9 meters due north from a tree. He then turned due east and walked 24 feet. He then turned due south and walked 9 meters plus 32 feet. How many feet away from his original starting point is Henry?"
},
{
"from": "gpt",
"value": "1. The pro... | 0.94258 | 0.962901 | 0.952741 |
[
{
"from": "human",
"value": "I'm trying to write a Scala program that can find all combinations of three positive integers. Can you provide me with a solution? None"
},
{
"from": "gpt",
"value": "1. The task is to write a Scala program that can find all combinations of three positive integers. \... | 0.71007 | 0.979052 | 0.844561 |
[
{
"from": "human",
"value": "The studies showing that increased consumption of fruits and vegetables may help decrease the incidence of some types of cancer do not distinguish between organically grown and nonorganically grown produce; they were conducted with produce at least some of which contained pestic... | 0.958801 | 0.940894 | 0.949848 |
[
{
"from": "human",
"value": "Find the curve defined by the equation\n\\[r = \\frac{6}{2 + 3 \\sin \\theta}.\\](A) Line\n(B) Circle\n(C) Parabola\n(D) Ellipse\n(E) Hyperbola\n\nEnter the letter of the correct option."
},
{
"from": "gpt",
"value": "1. Start by looking at the given equation \\[r = ... | 0.93694 | 0.926136 | 0.931538 |
[
{
"from": "human",
"value": "Suppose C[0,1] denotes the space of all the continuous functions on the interval [0,1]. Is (C[0,1],\\|\\cdot\\|_1 ) a Banach space? Here $\\|f(x)\\|_1=\\int_0^1 |f(t)|dt$ with $f\\in C[0,1]$. Answer 1 for yes and 0 for no.\nRelevant Theorem: In functional analysis, the Equivalen... | 0.886913 | 0.928847 | 0.90788 |
[
{
"from": "human",
"value": "What is the code to find the mode within a list of numbers? None"
},
{
"from": "gpt",
"value": "1. The task is to write a Python code to find the mode within a list of numbers. The mode is the number that appears most frequently in a data set.\n2. To solve this, I ne... | 0.659899 | 0.953683 | 0.806791 |
[
{
"from": "human",
"value": "There are 100 light bulbs in a room, and each bulb is either on or off. If you flip a switch for a particular bulb, it changes its state (on to off, or off to on). You have the following information: The first bulb is on, there are twice as many bulbs that are off than those tha... | 0.975913 | 0.983449 | 0.979681 |
[
{
"from": "human",
"value": "The traditional view of the Roman emperor Caligula as a cruel and insane tyrant has been challenged by some modern historians. They point out that little documentation of Caligula' s alleged cruelty or outrageous behavior survives from the time of his reign and that the historie... | 0.974917 | 0.97456 | 0.974739 |
[
{
"from": "human",
"value": "Can you help me optimize this C code snippet to improve its runtime performance? It checks whether a given number is prime or not. None"
},
{
"from": "gpt",
"value": "1. The task is to optimize a C code snippet that checks whether a given number is prime or not.\n2. ... | 0.775972 | 0.952016 | 0.863994 |
[
{
"from": "human",
"value": "BEGININPUT\nBEGINCONTEXT\ndate: August 12, 2023\nparticipants: Alex and Taylor\ntopic: The impact of technology on education\nENDCONTEXT\nAlex (9:05 AM): Hey Taylor! I was reading an article about how technology has changed the way we learn. It's fascinating to see how much it h... | 0.960989 | 0.974947 | 0.967968 |
[
{
"from": "human",
"value": "Resident: Residents of this locale should not consider their loss of farming as a way of life to be a tragedy. When this area was a rural area it was economically depressed, but it is now a growing bastion of high-tech industry with high-wage jobs, and supports over 20 times the... | 0.949258 | 0.923633 | 0.936446 |
[
{
"from": "human",
"value": "Suppose we flip four coins simultaneously: a penny, a nickel, a dime, and a quarter. What is the probability that at least 15 cents worth of coins come up heads?"
},
{
"from": "gpt",
"value": "1. Start by understanding the problem: we are flipping four coins and we ... | 0.905875 | 0.974263 | 0.940069 |
[
{
"from": "human",
"value": "If $c$ is a nonzero constant such that $x^2+cx+9c$ is equal to the square of a binomial, then what is $c$?"
},
{
"from": "gpt",
"value": "1. The problem states that $x^2+cx+9c$ is equal to the square of a binomial, and I need to find the value of $c$.\n2. I know that... | 0.749437 | 0.939802 | 0.844619 |
[
{
"from": "human",
"value": "help me solve this equation\nf[k = af[k-1 + an"
},
{
"from": "gpt",
"value": "1. The instruction is a statement, not a question or a problem to solve.\n2. The statement is 'I won lottery', which indicates that the user is sharing a personal experience or event.\n3. T... | 0.658503 | 0.937839 | 0.798171 |
[
{
"from": "human",
"value": "How can I modify the given HTML code to ensure that it adjusts its layout based on different screen sizes? None"
},
{
"from": "gpt",
"value": "1. The task is to modify the HTML code to make it responsive to different screen sizes.\n2. To achieve this, CSS media queri... | 0.695748 | 0.929021 | 0.812384 |
[
{
"from": "human",
"value": "Some scientists believe that small humanoid skeletons found on an Indonesian island are the remains of human beings with a growth disorder. It is more likely that they represent a distinct human species that became smaller over time due to environmental pressure. These skeletons... | 0.974329 | 0.963273 | 0.968801 |
[
{
"from": "human",
"value": "I have an array of strings and I want to filter it based on the length of the strings. How can I write a JavaScript program to do this? None"
},
{
"from": "gpt",
"value": "1. The problem is about filtering an array of strings based on the length of the strings. This ... | 0.740718 | 0.923307 | 0.832012 |
[
{
"from": "human",
"value": "The Relativistic Heavy Ion Collider (RHIC) at the Brookhaven National Laboratory collides gold ions onto other gold ions head on. The energy of the gold ions is 100 GeV per nucleon. What is the speed of the gold ions as a fraction of the speed of light?\nRelevant Theorem: Partic... | 0.984916 | 0.984642 | 0.984779 |
[
{
"from": "human",
"value": "A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as shown. [asy]\n\ndraw((0,0)--(9,0)--(9,9)--(0,9)--(0,0));\n\nfill((1,1)--(2,1)--(2,2)--(1,2)--cycle,gray(.8));\n\nfill((4,1)--(5,1)--(5,2)--(4,2)--cycle,... | 0.830321 | 0.971734 | 0.901028 |
[
{
"from": "human",
"value": "The height of a right cylinder is 2.5 times its radius. If the surface area of the cylinder is $112\\pi\\text{ cm}^2$, what is the radius of the cylinder in centimeters?"
},
{
"from": "gpt",
"value": "1. Start by recalling the formula for the surface area of a right ... | 0.893484 | 0.971436 | 0.93246 |
[
{
"from": "human",
"value": "Can you provide an example of how to design a decision tree in Python to classify a set of animals? None"
},
{
"from": "gpt",
"value": "1. The instruction is asking for an example of how to design a decision tree in Python to classify a set of animals.\n2. A decision... | 0.738131 | 0.983104 | 0.860618 |
[
{
"from": "human",
"value": "What are the last two digits in the sum of factorials of the first 100 positive integers?"
},
{
"from": "gpt",
"value": "1. The problem is asking for the last two digits in the sum of factorials of the first 100 positive integers.\n2. I know that a factorial is the p... | 0.704744 | 0.934336 | 0.81954 |
[
{
"from": "human",
"value": "Create a full-stack JavaScript/TypeScript application that utilizes React for the frontend and Node.js/Express for the backend. The application should include user authentication (using JWT), and allow authenticated users to perform CRUD operations on a set of resources stored i... | 0.818108 | 0.892619 | 0.855364 |
[
{
"from": "human",
"value": "Evaluate the expression \\[ (a^2+b)^2 - (a^2-b)^2, \\]if $a=4$ and $b=1$."
},
{
"from": "gpt",
"value": "1. Start by identifying the given values, which are $a=4$ and $b=1$.\n2. Substitute these values into the given expression, resulting in \\[ (4^2+1)^2 - (4^2-1)^2... | 0.744828 | 0.89146 | 0.818144 |
[
{
"from": "human",
"value": "Find the smallest digit $d$ so that $437{,}d03$ is divisible by 9."
},
{
"from": "gpt",
"value": "1. I know that a number is divisible by 9 if and only if the sum of its digits is divisible by 9. This is a rule of divisibility for the number 9.\n2. I need to find a d... | 0.70337 | 0.958569 | 0.83097 |
[
{
"from": "human",
"value": "How can I use Node.js to generate a random password with 8 characters? None"
},
{
"from": "gpt",
"value": "1. The task requires generating a random password with 8 characters using Node.js.\n2. Node.js is a JavaScript runtime, so I can use JavaScript to accomplish th... | 0.647537 | 0.941514 | 0.794525 |
[
{
"from": "human",
"value": "Amy Docent, a state college instructor, was discharged because of her refusal to comply with a state statute requiring public employees to swear or affirm that they will (1) \"uphold and defend\" the state and federal constitutions, and (2) \"oppose the overthrow\" of the state ... | 0.919143 | 0.912468 | 0.915805 |
[
{
"from": "human",
"value": "What is the smallest integer value of $b$ such that $423_{10}$ expressed in base $b$ also has $3$ digits?"
},
{
"from": "gpt",
"value": "1. The problem is asking for the smallest integer value of base $b$ such that when $423_{10}$ (423 in base 10) is expressed in bas... | 0.790167 | 0.969163 | 0.879665 |
[
{
"from": "human",
"value": "A wire is cut into two pieces, one of length $a$ and the other of length $b$. The piece of length $a$ is bent to form an equilateral triangle, and the piece of length $b$ is bent to form a regular hexagon. The triangle and the hexagon have equal area. What is $\\frac{a}{b}$?"
... | 0.961236 | 0.980768 | 0.971002 |
[
{
"from": "human",
"value": "If $(w+13)^2=(3w+7)(2w+4)$, find $w^2$. Express your answer as a decimal."
},
{
"from": "gpt",
"value": "1. I notice that the equation is in the form of a quadratic equation, with a squared term on the left and a product of two binomials on the right.\n2. I think abo... | 0.726379 | 0.869719 | 0.798049 |
[
{
"from": "human",
"value": "How many square units are in the area of the triangle whose vertices are the $x$ and $y$ intercepts of the curve $y = (x-3)^2 (x+2)$?"
},
{
"from": "gpt",
"value": "1. The problem is asking for the area of a triangle formed by the x and y intercepts of a given curve.... | 0.863836 | 0.972851 | 0.918343 |
[
{
"from": "human",
"value": "All police officers carry guns, and all soldiers carry guns; ttherefore, police officers and soldiers are similar. Which one of the following most closely parallels the argument?\nA: All dogs have fur, and all mammals have fur; ttherefore, all dogs are mammals.\nB: Farms and fis... | 0.930558 | 0.959612 | 0.945085 |
[
{
"from": "human",
"value": "Can you provide guidance on building an AI chatbot that can answer questions about cars? None"
},
{
"from": "gpt",
"value": "1. The instruction is asking for guidance on building an AI chatbot that can answer questions about cars.\n2. To build such a chatbot, we woul... | 0.566108 | 0.968617 | 0.767362 |
[
{
"from": "human",
"value": "A bakery sells 5 types of cookies: chocolate chip, oatmeal, sugar, peanut butter, and macadamia nut. If you buy 3 cookies at random, what is the probability that you get exactly two chocolate chip cookies and one oatmeal cookie?"
},
{
"from": "gpt",
"value": "1. The ... | 0.828963 | 0.975146 | 0.902055 |
[
{
"from": "human",
"value": "Circle $C$ has radius 10 cm. How many square centimeters are in the area of the largest possible inscribed triangle having one side as a diameter of circle $C$?"
},
{
"from": "gpt",
"value": "1. The problem is asking for the area of the largest possible inscribed tri... | 0.891696 | 0.977561 | 0.934629 |
[
{
"from": "human",
"value": "Let $n$ be a positive integer greater than or equal to $3$. Let $a,b$ be integers such that $ab$ is invertible modulo $n$ and $(ab)^{-1}\\equiv 2\\pmod n$. Given $a+b$ is invertible, what is the remainder when $(a+b)^{-1}(a^{-1}+b^{-1})$ is divided by $n$?"
},
{
"from": ... | 0.871734 | 0.937458 | 0.904596 |
[
{
"from": "human",
"value": "Can you provide an algorithm for sorting an array using bubble sort? None"
},
{
"from": "gpt",
"value": "1. The instruction is asking for an algorithm for sorting an array using bubble sort. \n2. Bubble sort is a simple sorting algorithm that repeatedly steps through... | 0.683846 | 0.989116 | 0.836481 |
[
{
"from": "human",
"value": "A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds. What is the radius of each of the smaller molds, in feet?"
},
{
"from": "gpt",
"value":... | 0.919297 | 0.974631 | 0.946964 |
[
{
"from": "human",
"value": "Julie baked cupcakes for her family at home and for a party at school. She iced 4 cupcakes with red frosting, 2 cupcakes with orange frosting, 2 with yellow, 2 with green, 3 with blue and the last 3 with violet frosting. Each cupcake is iced with exactly one color of frosting. J... | 0.954758 | 0.968094 | 0.961426 |
[
{
"from": "human",
"value": "In $\\triangle{ABC}$ with side lengths $AB = 13$, $AC = 12$, and $BC = 5$, let $O$ and $I$ denote the circumcenter and incenter, respectively. A circle with center $M$ is tangent to the legs $AC$ and $BC$ and to the circumcircle of $\\triangle{ABC}$. What is the area of $\\trian... | 0.87782 | 0.955984 | 0.916902 |
[
{
"from": "human",
"value": "Write a Clojure function that finds the shortest path between two nodes in a directed graph represented as an adjacency list.\nPLAINFORMAT"
},
{
"from": "gpt",
"value": "1. The instruction is asking to write a Clojure function that finds the shortest path between two... | 0.892607 | 0.97781 | 0.935209 |
[
{
"from": "human",
"value": "Faces $ABC$ and $BCD$ of tetrahedron $ABCD$ meet at an angle of $30^\\circ$. The area of face $ABC$ is $120$, the area of face $BCD$ is $80$, and $BC=10$. Find the volume of the tetrahedron."
},
{
"from": "gpt",
"value": "1. The problem involves finding the volume of... | 0.938475 | 0.979709 | 0.959092 |
[
{
"from": "human",
"value": "You have a whole pizza in the refrigerator. On your first trip to the refrigerator, you eat half the pizza. On each successive trip, you eat half of the remaining pizza. After five trips to the refrigerator, what fractional part of the pizza have you eaten?"
},
{
"from":... | 0.896629 | 0.896851 | 0.89674 |
[
{
"from": "human",
"value": "Can you provide a JavaScript program that finds the largest number in an array of numbers? None"
},
{
"from": "gpt",
"value": "1. The task is to write a JavaScript program that finds the largest number in an array of numbers.\n2. To solve this, I need to iterate over... | 0.685106 | 0.970276 | 0.827691 |
[
{
"from": "human",
"value": "Solve for $n$: $|n + 6| = 2 - n$."
},
{
"from": "gpt",
"value": "1. Start by understanding that the absolute value of a number is its distance from zero, so it's always positive or zero.\n2. Recognize that the equation involves an absolute value, which means there co... | 0.700842 | 0.956782 | 0.828812 |
[
{
"from": "human",
"value": "Find the center of the circle with equation $x^2 - 2x + y^2 - 4y - 28 = 0$."
},
{
"from": "gpt",
"value": "1. The given equation is in the form of a general circle equation $x^2 + y^2 + Dx + Ey + F = 0$.\n2. To find the center of the circle, we need to convert this e... | 0.7414 | 0.956394 | 0.848897 |
[
{
"from": "human",
"value": "Kendrick: Governments that try to prevent cigarettes from being advertised are justified in doing so, since such advertisements encourage people to engage in an unhealthy practice. But cigarette advertisements should remain legal since advertisements for fatty foods are legal, e... | 0.955188 | 0.969267 | 0.962228 |
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