Datasets:

maxylium
/

anon-reasoning-v5

messages listlengths 2 8	type stringclasses 6 values
[ { "content": "Is variance a measure of deviation from the mean or of dispersion from the mean? In other words, when it is bigger, is it because the data points tend to \"travel\" farther from their mean (which wold mean a bigger deviation) or is it because the data points tend to be more spread out (more disper...	supra_cot
[ { "content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?", "role": "user" }, { "content": "<think>\nThe salt is dissolved in ...	supra_cot
[ { "content": "Jay & Gloria were hosting a 4th of July party at their house. Jay invited 22 people and Gloria invited 36. They wanted to buy small American flags for everyone. The craft store was having a sale on small flags, 5 flags for $1.00. If they wanted all of their guests to have a flag and they also want...	supra_cot
[ { "content": "Kimberly went hiking and took a 6-liter bottle full of water with her. The first time she drank from it, she consumed 1/3 of the water in the bottle. Later on, she drank 3/4 of the remaining water. How much water is left in the bottle (in liters)?", "role": "user" }, { "content": "<thi...	supra_cot
[ { "content": "Let $R$ be the region in the first, third, and fourth quadrants that is inside the polar curve $r=1-\\sin(\\theta)$ and inside the polar curve $r=1+\\sin(\\theta)$, as shown in the graph.", "role": "user" }, { "content": "<think>\nI start by considering the two polar curves and their s...	supra_cot
[ { "content": "Let $a$ and $b$ be complex numbers and let $K = \\mathbb{Q}(\\omega)$ where $\\omega$ is a primitive 3rd root of unity. Let $L$ be the splitting field of the polynomial $x^3-ax-b$ over $\\mathbb{Q}$. Show that $L \\subseteq K(g)$. for some $g \\in (L \\cap \\mathbb{Q})$.", "role": "user" }, ...	supra_cot
[ { "content": "Let $a_n = \\{a\\}\\cdot\\{na\\}$ and $b_n=\\{a\\}\\cdot\\{nb\\}$ where $\\{x\\}=x-\\lfloor x\\rfloor$. Determine $\\sum^n_{i=1}a_i$ and $\\sum^n_{i=1}b_i$ when $a =\\frac{1}{2015}$ and $b=\\frac{15}{2015}$. How to do these?", "role": "user" }, { "content": "<think>\nThe fractional par...	supra_cot
[ { "content": "Let A be a 4 x 4 matrix with a minor of order 3 equal to 10 and the cofactor of this minor equal to -8. Find the determinant of A.", "role": "user" }, { "content": "<think>\nA 3×3 minor M has a cofactor C = (-1)^{i+j} M, where i and j are the row and column indices of the minor. Given ...	supra_cot
[ { "content": "Let G be a group of order 10, and prove that G is isomorphic to either the cyclic group C10 or the dihedral group D5.", "role": "user" }, { "content": "<think>\nBy Lagrange's theorem, the order of any element divides 10, so possible element orders are 1, 2, 5, or 10. If there is an ele...	supra_cot
[ { "content": "Let R = (A, ∼) and S = (B, ≈) are two structures, where ∼ and ≈ are equivalence relations in A and B respectively. Attributed graph G1 = (A,E ∼ ,d ∼ ) and G2 = (B,E ≈ ,d ≈ ) respectively where E ∼ has edges between vertices connected by ∼ and E ≈ has edges between vertices connected by ≈. The cost...	supra_cot
[ { "content": "Let the same \$a_n\$ sequence as in Question0. Define \$b_n = a_n - a_{n-1}\$. Find the sum of the series \$\\sum_{k=2}^{2021} b_k\$.", "role": "user" }, { "content": "<think>\nLet me think about the telescoping nature of this sum. Since b_n = a_n - a_{n-1}, the sum from k=2 to 2...	supra_cot
[ { "content": "Modify this Python script to enhance its output so that it can solve the following problem: Given an input list of integers, this function should return two lists. The first list should contain all the prime numbers from the given list, while the second should contain the cubic root of all non-pri...	supra_cot
[ { "content": "Offer a completion for the subsequent Python code snippet aiming at showcasing the elements of a list that incorporates string data types.", "role": "user" }, { "content": "<think>\nI can filter the list to keep only items that are strings using a list comprehension. Wait, the task is ...	supra_cot
[ { "content": "Passing long strings of text variables from an angular controller to a directive. The text can be displayed character by character in the directive and the directive needs to perform an operation at certain characters. Is there a more performant way to do this or is string indexing the most direct...	supra_cot
[ { "content": "Pili and John are picking oranges. Pili can pick 22 oranges in 1 hour, while John can pick 30 oranges in 1 hour. How many oranges can the two of them pick combined in 3 hours?", "role": "user" }, { "content": "<think>\nPili's rate is 22 per hour, so in 3 hours she picks 66. John's rate...	supra_cot
[ { "content": "Please refactor the given piece of code in Java to make it more concise and use lambda expressions.", "role": "user" }, { "content": "<think>\nLambda expressions can replace anonymous inner classes where a functional interface is used. The code likely has verbose boilerplate like new R...	supra_cot
[ { "content": "Process: - A bird selects a tree - The bird collects twigs and other refuse - The bird makes a flat base with twigs - The bird makes sides with twigs and other things - The bird adds softer material to the inside - The nest is done. Perturbation hypothesis: suppose there is a need for more home bu...	supra_cot
[ { "content": "Prove that the symmetric group S_4 has no subgroup of order 6.", "role": "user" }, { "content": "<think>\nA subgroup of order 6 would have index 4 in S_4, so the action on its cosets gives a homomorphism from S_4 to S_4 with kernel contained in the subgroup. Let me check the kernel: it...	supra_cot
[ { "content": "Provide an implementation of the function below that computes the sum of all the numbers in a given list using recursion.", "role": "user" }, { "content": "<think>\nRecursion reduces the list by one element at a time, so the base case has to be an empty list. Wait, if the list has one ...	supra_cot
[ { "content": "Real numbers $a$ and $b$ satisfy $3^a=81^{b+2}$ and $125^b=5^{a-3}$. What is $ab$?", "role": "user" }, { "content": "<think>\nI can rewrite both equations with the same base to compare exponents directly. Since 81 is 3^4, the first equation becomes 3^a = 3^{4(b+2)}. Also 125 is 5^3, so...	supra_cot
[ { "content": "Ream is printing new pages for his sketchbook at a printing shop. The shop charges a certain amount for every 9 pages he prints. Ream would pay $35 to print 117 pages. How much does the shop charge for printing 9 pages?", "role": "user" }, { "content": "<think>\nThe cost scales with th...	supra_cot
[ { "content": "Samantha, Aira, and Joe received 6 rubber bands each after they divided their bands equally. If Samantha had 4 more bands than Aira, and Aira had 1 fewer band than Joe, and they found an additional 12 bands before dividing, how many rubber bands did Aira have?", "role": "user" }, { "co...	supra_cot
[ { "content": "Split the following string at the comma and reverse the resulting list, but do not use any built-in string splitting or list reversing functions or methods. Additionally, the solution should have a time complexity of O(n) and a space complexity of O(1), where n is the length of the string.", "...	supra_cot
[ { "content": "Stefan, Vail, and Aiguo collected seashells. Stefan had 16 more seashells than Vail. Vail had 5 less than Aiguo. Aiguo had 20 seashells. Each day, they each double the amount of seashells they have. How many seashells did the three children have after five days?", "role": "user" }, { "...	supra_cot
[ { "content": "Suppose \"AGT\" frequency dictionary is {\"AGT\": 0.0830, “GTA”: 0.0720}, and the total probability mass reserved for codons starting with \"G\" is 0.6. What is the reserved probability mass for \"GT\" dinucleotide? What is the needed probability for \"GTA\" if the probabilities must be renormaliz...	supra_cot
[ { "content": "Suppose $x-3$ and $y+3$ are multiples of $7$. What is the smallest positive integer, $n,$ for which $x^{2}-xy+y^{2}+n$ is a multiple of $7$?", "role": "user" }, { "content": "<think>\nLet me set x ≡ 3 (mod 7) and y ≡ -3 ≡ 4 (mod 7) from the given conditions. Then x² ≡ 9 ≡ 2, xy ≡ 3·4 =...	supra_cot
[ { "content": "Suppose that we have a cube. How many rectangular prisms can be formed that use two or more of the vertices of the cube as vertices of the rectangular prism?", "role": "user" }, { "content": "<think>\nI start by thinking about the cube's eight vertices and how a rectangular prism could...	supra_cot
[ { "content": "The side lengths of a triangle are 14 cm, 48 cm and 50 cm. How many square centimeters are in the area of the triangle?", "role": "user" }, { "content": "<think>\nA 14-48-50 triangle looks like it might be a right triangle because 14 squared plus 48 squared equals 196 plus 2304, which ...	supra_cot
[ { "content": "To bring my goat to market, I have to pay a flat crossing fee of $\\$3$, an additional fee of $25\\%$ of any declared value I claim for the goat, and a toll of $\\$2$ if the goat's value exceeds $\\$50$. If I decide to drop the extra fee and the toll by undervaluing my goat, what is the least valu...	supra_cot
[ { "content": "Tom wants to make the world's largest dough ball. He needs 550 pounds of flour and he can buy 50-pound bags of flour for $20. He also needs 20 pounds of salt and salt costs $.2 a pound. He spends $1000 promoting everything. He then sells tickets for $20 each and sells 500 tickets. If he breaks eve...	supra_cot
[ { "content": "Transform the given Python code from function-style programming to object-oriented programming. The resultant class should also feature a method for calculating moving averages.", "role": "user" }, { "content": "<think>\nI start by identifying the core data and operations in the origin...	supra_cot
[ { "content": "Two propositions are functionally equivalent if and only if the two propositions have the same truth values under all possible interpretations. Explain this.", "role": "user" }, { "content": "<think>\nTwo propositions are functionally equivalent when their truth tables match exactly. I...	supra_cot
[ { "content": "Two trucks each 250 m long are running in opposite directions on parallel paths. Their speeds are 30 km/hr and 20 km/hr respectively. Find the time taken by the slower truck to pass the driver of the faster one?", "role": "user" }, { "content": "<think>\nThe slower truck has to cover t...	supra_cot
[ { "content": "Use a daisy-chain approach to create this code and add comments to explain your thought process and how you arrived at the final solution. Your solution should implement a custom reduce function instead of using the built-in reduce function in Python. You are not allowed to use any external librar...	supra_cot
[ { "content": "Use the Python built-in function filter() to find all numbers divisible by 5.", "role": "user" }, { "content": "<think>\nThe filter function applies a predicate to each element of an iterable, keeping only those that return True. A lambda can encode the divisibility test with modulo. W...	supra_cot
[ { "content": "Using the \"for\" loop, print out all odd numbers from 1 to 20, but do not use the modulus operator (%) to check for oddness. Instead, you should use bitwise operations. Additionally, ensure that the number 13 is not printed, even though it is odd.", "role": "user" }, { "content": "<th...	supra_cot
[ { "content": "Using the comment as a guide, implement an if-else statement that checks if the number is positive, negative, or zero. Make sure to include a print statement inside each if-else block to indicate which condition was met. Additionally, modify the code to also check if the number is odd or even, and...	supra_cot
[ { "content": "What are the main causes of soil erosion?", "role": "user" }, { "content": "<think>\nSoil erosion happens when the forces that hold particles in place are overcome by moving water, wind, or gravity. Let me check: raindrops break aggregates apart, and then runoff carries those particles...	supra_cot
[ { "content": "What is 'The Allegory of the Cave' trying to teach us about reality?", "role": "user" }, { "content": "<think>\nThe prisoners only see shadows, so they mistake appearance for reality. Actually, the chains are the real constraint, not the wall. Let me check: the fire behind them casts t...	supra_cot
[ { "content": "What is 'cancel culture' and how does it affect celebrities?", "role": "user" }, { "content": "<think>\nCancel culture is a form of public shaming where a person is boycotted or ostracized for perceived offensive actions. For celebrities, the impact is amplified because their livelihoo...	supra_cot
[ { "content": "What is the 'Great Filter' theory regarding extraterrestrial life?", "role": "user" }, { "content": "<think>\nThe Great Filter is about why we see no aliens despite high odds. I start by noting that simple life might be common, but something stops it from spreading. Wait, maybe the fil...	supra_cot
[ { "content": "What is the Belt and Road Initiative by China?", "role": "user" }, { "content": "<think>\nThe initiative connects China to Europe, Africa, and Asia through land and sea routes. It funds infrastructure like ports, railways, and pipelines in partner countries. Wait, some call it debt-tra...	supra_cot
[ { "content": "What is the Internet of Things (IoT)?", "role": "user" }, { "content": "<think>\nIoT starts with ordinary objects gaining a tiny network identity. Wait, a sensor alone is not enough; it has to send its readings somewhere. Actually the real shift is that physical things become queryable...	supra_cot
[ { "content": "What is the Ruby way to convert a ternary search algorithm into a binary search algorithm?", "role": "user" }, { "content": "<think>\nTernary search splits the range into three parts, but binary search only needs one midpoint. I can simplify the loop by comparing the target against the...	supra_cot
[ { "content": "What is the Swift code for displaying an alert message with a custom title and message?", "role": "user" }, { "content": "<think>\nI recall that UIAlertController is the standard way to present alerts in UIKit. The title and message parameters let me customize the alert's text. I need ...	supra_cot
[ { "content": "What is the categorical imperative proposed by Immanuel Kant?", "role": "user" }, { "content": "<think>\nKant argues that moral worth comes from acting out of duty, not from consequences. Let me check: the only thing unconditionally good is a good will, and that will must follow a law ...	supra_cot
[ { "content": "What is the ozone layer and why is it important?", "role": "user" }, { "content": "<think>\nOzone is three oxygen atoms bonded in a bent shape, and that bent geometry absorbs UV light strongly. Wait, the layer isn't a separate shell but a concentration of ozone mostly in the stratosphe...	supra_cot
[ { "content": "What is the vanishing gradient problem in deep neural networks?", "role": "user" }, { "content": "<think>\nBackpropagation multiplies gradients layer by layer, so repeated factors below one shrink the signal exponentially. Wait, that means early layers get almost no update, not just sl...	supra_cot
[ { "content": "What types of strained singularities can occur between viscous flow and wall boundary when the fluid velocity distribution is not smooth at the interface?", "role": "user" }, { "content": "<think>\nWhen a viscous fluid meets a solid wall, the no-slip condition forces the velocity to ma...	supra_cot
[ { "content": "What’s a superdivisible number? How many superdivisible numbers are less than 1000?", "role": "user" }, { "content": "<think>\nA superdivisible number is one where the number of divisors is greater than any smaller positive integer, so it's essentially a highly composite number. Wait, ...	supra_cot
[ { "content": "Which of the following sets of integers has the greatest integer common divisor (GCD)? (-20, -25), (35, 45), (55, 60)", "role": "user" }, { "content": "<think>\nI start by taking the absolute values because GCD ignores signs. For 20 and 25, the common factors are 1 and 5, so the GCD is...	supra_cot
[ { "content": "Working in 2D, if I have a shape (quad-like maybe) defined by Σai \\* (x-xi)+yi-θi)+c=K", "role": "user" }, { "content": "<think>\nThe expression mixes a weighted sum over points with a global constant, so it probably encodes a polygon boundary or distance field. Wait, the terms (x-xi)...	supra_cot
[ { "content": "Write a 10-line shell script in Bash to determine if a TCP port number is open or closed on a remote IP address.", "role": "user" }, { "content": "<think>\nThe shell has no built-in TCP connect test, so I need an external tool. Let me check what's commonly available: nc, /dev/tcp, or t...	supra_cot
[ { "content": "Write a Lambda expression for finding the sum of all elements in a List of Integers.", "role": "user" }, { "content": "<think>\nI start by thinking about how the Stream API can reduce a list to a single sum. Wait, the identity for addition is zero, so that should be the starting value....	supra_cot
[ { "content": "Write a Lambda expression in Java which takes an integer array and returns the sum of all elements. Additionally, include a check to ensure that all elements in the array are even. If there is any odd element in the array, throw a custom exception with a message indicating that the array contains ...	supra_cot
[ { "content": "Write a Python function that takes in a list of integers as a parameter and returns the length of the longest increasing subsequence in the list. The longest increasing subsequence is defined as the longest sequence of elements in the list that are in strictly increasing order.", "role": "user...	supra_cot
[ { "content": "Write a Python program that implements a cigma function. The sigma function, also known as the divisor function, is a mathematical function that calculates the sum of the positive divisors of a given integer, including the number itself. The program should accept user input for the integer and the...	supra_cot
[ { "content": "Write a bash function to test if a given positive integer is a prime number.", "role": "user" }, { "content": "<think>\nA naive trial division up to n-1 works but wastes time on even divisors after two. Let me check: if a number has a factor larger than its square root, it must also ha...	supra_cot
[ { "content": "Write a custom SVG component for acurrentColor picker with a color preview and a callback function to handle color change.", "role": "user" }, { "content": "<think>\nI start by thinking about how a color picker should work in a component. Wait, the user wants a custom SVG component, so...	supra_cot
[ { "content": "Write a function that not only checks whether a given number is even or not, but also checks if it is a prime number. Additionally, your function should return the next even number if the given number is even, and the next prime number if it is prime. If the number is both even and prime, return t...	supra_cot
[ { "content": "Write a recursive algorithm to generate all permutations of an array. Additionally, devise a method within the algorithm to eliminate duplicate permutations resulting from arrays that might contain duplicate elements.", "role": "user" }, { "content": "<think>\nA permutation is built by...	supra_cot
[ { "content": "Write an algorithm in a comment block that would calculate the prime factors of every number in a given array.", "role": "user" }, { "content": "<think>\nI can start by factoring each number independently with trial division up to its square root. Actually, for an array it makes sense ...	supra_cot
[ { "content": "Write an algorithm that finds all palindromic substrings of a given string.", "role": "user" }, { "content": "<think>\nA palindrome expands symmetrically from its center, so each possible center can be grown outward while characters match. Odd-length palindromes have a single character...	supra_cot
[ { "content": "Write down three more test-cases for the function below that will ensure the function is tested thoroughly with edge cases. The test cases should cover situations when the array is empty, when there are multiple occurrences of the maximum value in the array, and when the array is sorted in descend...	supra_cot
[ { "content": "Write python code to count the number of occurrences of each alphabet x, y, and z in a string input which is \"xyz abc xyz\" and print the result to the console.", "role": "user" }, { "content": "<think>\nThe task is to count specific characters in a fixed string. I can just use the bu...	supra_cot
[ { "content": "You have to argue as if you are defending the practice of taking classic films and turning them into more adult-themed adaptations or remakes.", "role": "user" }, { "content": "<think>\nThe practice reworks existing stories rather than inventing from scratch, so the creative labor is i...	supra_cot
[ { "content": "You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?", "role": "user" }, { "content": "<think>\nThe match is the only item that can ignite the others, so it has to be the starting point. Wait, if I strike the match first, th...	supra_cot
[ { "content": "You will be given a list of some words. Write a program to identify the set of anagrams from the input array.", "role": "user" }, { "content": "<think>\nAn anagram is determined by the multiset of letters, not their order. I can normalize each word by sorting its characters into a cano...	supra_cot
[ { "content": "_pipe_buffered is a consumer library for reading chunks of pipe-delimited data from a FILE stream, as well as writing chunks of pipe-delimited data to a FILE stream, and then outputting that data to the expected output.", "role": "user" }, { "content": "<think>\nLet me think through wh...	supra_cot
[ { "content": "bob and alice run lifelong, with bob being 25% faster than Alice. At time = 0 they start from the same point and then at time = t they meet next time. How is t related to the length L of the track? Assume they run in the same direction.", "role": "user" }, { "content": "<think>\nBob's ...	supra_cot
[ { "content": "build a DDS(transform) matrix of size `3x3` with `const` for type `T = double`", "role": "user" }, { "content": "<think>\nA DDS transform is fundamentally a 2D affine map, so a 3x3 matrix naturally holds the linear part plus translation. Wait, constexpr construction needs every element...	supra_cot
[ { "content": "find all natural numbers $ x $ and $ y $ satisfying $xy=\\underbrace {111 \\cdots 111}_{2010} $ .", "role": "user" }, { "content": "<think>\nMultiplication is commutative, so the equation only says the two natural numbers are complementary factors of the given repunit. Let me check whe...	supra_cot
[ { "content": "find the maximum area of a rectangle inscribed in the ellipse x^2/4 + y^2 = 1 with sides parallel to the coordinate axes?", "role": "user" }, { "content": "<think>\nThe rectangle has to be centered at the origin because the ellipse is symmetric about both axes. Let me set one corner at...	supra_cot
[ { "content": "iPhone programming mac tutorials online", "role": "user" }, { "content": "<think>\nApple's developer documentation is the canonical starting point for iPhone and Mac programming. Wait, tutorials online also need to cover Xcode setup and Swift syntax before UIKit or SwiftUI. Actually, A...	supra_cot
[ { "content": "milo can prep a salad in 7 minutes and a pizza in 12 minutes. If milo's friend, lily, helps him prep the salad and they both work on it together, they can finish the salad in 4 minutes. If it takes milo 24 minutes to prep 6 pizzas, how long would it take for them to prepare 3 salads and 4 pizzas w...	supra_cot
[ { "content": "stmt, err := db.Prepare(`INSERT INTO OFC_odf_dev ( fileNameOrig, totHeightOrig ) VALUES (?,?)`)", "role": "user" }, { "content": "<think>\nPreparing the statement once lets the driver parse and plan it on the server, so repeated inserts skip that overhead. The two question marks map po...	supra_cot
[ { "content": "transform the equation by completing the square: x^2 + 6x + 7 = 0.", "role": "user" }, { "content": "<think>\nCompleting the square turns the left side into a perfect square plus a constant. Wait, I need to move the constant first so the x-terms stand alone. Actually, half of 6 is 3, a...	supra_cot
[ { "content": "一个 supposedly math-savvy person claimed “The difficulty of mental calculation comes down to how a person interprets and subdivides numbers. For example, for someone trained in music, a sequence of numbers such as 12 - 21 - 34 - 55 - 89 may not be that difficult to add mentally – perhaps they have ...	supra_cot
[ { "content": "$ABCD$ is a rectangle with $A(0,0)$, $B(0,4)$, $C(6,4)$, and $D(6,0)$ in the $xy$-plane. Points $E,F,G,$ and $H$ are chosen inside the rectangle so that $EFGH$ is a square, and such that $AEH, FBG, GDC,$ and $HCE$ are isosceles right triangles. What is the area of square $EFGH$?", "role": "use...	supra_cot
[ { "content": "${\\sqrt[3]{x}} = 1.4422495703\\ldots$, where $x$ is a positive integer. What is the value of $x$?", "role": "user" }, { "content": "<think>\nThe cube root of x is about 1.4422495703. I recall that cube root of 3 is about 1.4422495703. Let me check: 1.44224957 cubed equals 3. So x must...	supra_cot
[ { "content": "3 students appear for an examination paper. Each student has probability of getting through the examination. this gives us rise to 3 independent Bernoulli variables, X1,X2,X3 with P(Xi=1)=pi, P(Xi = 0) = qi for i = 1,2,3.The results are known in sequence, the result of one student at each go. you ...	supra_cot
[ { "content": "A certain car dealership offers its newest model in ten exterior and ten interior colors. If the nine interior colors are identical to the nine exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, ...	supra_cot
[ { "content": "A circle is inscribed in a right-angled isosceles triangle with the equal sides each of length $s$. What is the radius of the circle?", "role": "user" }, { "content": "<think>\nThe triangle is right isosceles, so the hypotenuse is s times the square root of 2. The inradius formula r eq...	supra_cot
[ { "content": "A company has 4 different departments and plans to open positions for 12 new workers, with the condition that each department should get at least 2 new workers. In how many ways can the company distribute these new workers across the 4 departments? Note: the departments are distinct. (Answer Choic...	supra_cot
[ { "content": "A recipe requires \$5 \\frac{1}{3}\$ cups of flour. If you only make half of the recipe, how many cups of flour do you need? Express your answer as an improper fraction.", "role": "user" }, { "content": "<think>\nHalf of a mixed number means I need to divide the total amount by two. ...	supra_cot
[ { "content": "A semicircle is inscribed in a right triangle with the diameter along one leg of the triangle and the triangle's other leg is equal to the diameter. If the area of the semicircle is $50\\pi$ square units, what is the area of the right triangle? Move through the solution step by step, and your fina...	supra_cot
[ { "content": "A sequence $(a_n)$ is given such that $a_1=2$, $a_{n+1}=a_n^2-4a_n+4$ for $n \\geq 1$. Prove that the series $\\sum_{k \\geq 2}\\frac{1}{a_1a_2\\cdots a_k-2}$ converges and find its sum.", "role": "user" }, { "content": "<think>\nThe recurrence rewrites as a_{n+1}=(a_n-2)^2, so the shi...	supra_cot
[ { "content": "A square and a circle have equal volumes when each is inscribed in a cube. What is the ratio of the side of the square, s, to the radius of the circle, r?", "role": "user" }, { "content": "<think>\nWait, a square and a circle are two-dimensional, so they can't have volume. Actually, th...	supra_cot
[ { "content": "Alice, Bob, and Carol each think of an integer between 1 and 50, inclusive. What is the probability that the product of their numbers is a multiple of 5?", "role": "user" }, { "content": "<think>\nThe product is a multiple of 5 unless none of the three numbers is divisible by 5. Let me...	supra_cot
[ { "content": "An artist uses 3 gallons of paint to create large paintings and 2 gallons of paint for small paintings. If there are 6 large paintings and a certain number of small paintings, and the artist has used a total of 30 gallons of paint, how many small paintings did the artist create?", "role": "use...	supra_cot
[ { "content": "An office supply store stocks two sizes of notebooks, each in four colors: red, blue, yellow, and green. The store packs the notebooks in packages as follows: a small package contains either three small notebooks of the same color or three large notebooks of the same color. A large package contain...	supra_cot
[ { "content": "Brian was promised to lose trousers for every meter and today was just that day when he had to lose the same. He started with an equal number of each before his 40 km of hiking ended. Considering trousers as the only units he has, he is left with as many pair of shoes as kilometers he walked. How ...	supra_cot
[ { "content": "Build a Python function that not only reverses the order of a given list of floating-point numbers, but also increments each number by 0.5.", "role": "user" }, { "content": "<think>\nI start by thinking about how list reversal and element-wise arithmetic can be combined in one pass. Wa...	supra_cot
[ { "content": "Build a function that takes in an array of integers (between -100 and 100, exclusive) and returns the average (rounded to the nearest whole number) of the numbers that are divisible by 3 or 5. The function should ignore any number that is divisible by both 3 and 5.", "role": "user" }, { ...	supra_cot
[ { "content": "Can you explain the concept of Kruskal's algorithm for solving the traveling salesman problem, and how does it differ from Prim's algorithm?", "role": "user" }, { "content": "<think>\nKruskal's algorithm sorts all edges by weight and adds them if they don't form a cycle, building a min...	supra_cot
[ { "content": "Can you write a Python function that takes in a list of integers and sorts them using the Selection Sort algorithm?", "role": "user" }, { "content": "<think>\nSelection sort works by repeatedly finding the minimum element from the unsorted part and swapping it into place. I start with ...	supra_cot
[ { "content": "Choose points such that the distance between a point and the previous point is 1 unit. Can you write a Python script to generate 20 such points on a 2D plane with no three points being collinear?", "role": "user" }, { "content": "<think>\nI start by placing the first point at the origi...	supra_cot
[ { "content": "Company X spends 40,000 USD on training and education of their employees while Company Y spends 50,000 USD in a year. However, Company X has an additional 10,000 USD for updating their technological resources for the year. How much more does Company Y spend than Company X in total for the year, if...	supra_cot
[ { "content": "Compound annual growth rate (CAGR) is used in finance to compare the price of stocks that have grown or changed rapidly over time. It is also effective when making projections about companies’ future earnings. All you need to calculate CAGR is the starting or initial value, the ending value, and t...	supra_cot
[ { "content": "Considering an image treated as a matrix (image matrix), how to calculate its gradient? Based on this, what could be a lower limit to measure some intensity variation between pixels, like pixel averaging?", "role": "user" }, { "content": "<think>\nAn image matrix is just a discrete 2D ...	supra_cot

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anon_reasoning_v5

anon_reasoning_v5 is a curated, high-information-density SFT dataset designed to fine-tune language models with an authentic imageboard / anon conversational persona without degrading core reasoning, coding, and mathematical capabilities.

What Makes v5 Different?

Previous iterations (v3.2 and v4) suffered from severe slop dilution: over 80% of those datasets consisted of sub-50-character thread replies ("fuck no", "based", "cope"), which caused models to develop aggressive early-truncation (EOS) bias and catastrophic forgetting on multi-step reasoning.

v5 re-balances the signal-to-noise ratio:

Zero Sub-50 Character Throwaways: Eliminated ~13,700 trivial one-word replies. Overall median assistant length increased from 90 characters to 383 characters (avg 776 characters).
Preserved Pure Chain-of-Thought: Features 2,583 verified <think> CoT reasoning examples (supra_cot), ensuring the model maintains deep step-by-step thinking capabilities.
High-Quality Instruction Following: Retains 4,458 multi-domain instructional chat examples (fable_chat, median length 1,542 chars).
Verified Greentext Corpus: 2,887 verified, multi-line greentext stories (cesspool_greentext, median length 455 chars) filtered for proper story format (>).
No Poisoned Reasoning Mappings: Stripped corrupted "stitched" pairings where serious logic puzzles were mapped to unrelated forum insults.
Deduplicated Prompts: Removed redundant duplicate user turns to prevent mode collapse.

Dataset Composition

Type	Rows	Share (%)	Median Asst Length	Description
`cesspool_chat`	11,505	52.6%	169 chars	Curated conversational persona, slang, and banter (length 80–3000 chars, deduplicated)
`fable_chat`	4,458	20.4%	1,542 chars	Multi-turn & single-turn high-quality instruction following (coding, STEM, creative)
`cesspool_greentext`	2,887	13.2%	455 chars	Authentic multi-line greentext stories (`>be me...`)
`supra_cot`	2,583	11.8%	840 chars	Pure Chain-of-Thought reasoning with explicit `<think>` and `</think>` tags
`topical_stitched_fable_chat`	316	1.5%	1,067 chars	Long-form verified instructions
`cesspool_4claw`	105	0.5%	573 chars	Curated agentic/persona interactions
Total	21,854	100%	383 chars	Optimal Reasoning-Persona Balance

Format

The dataset uses the standard ChatML / OpenAI message format:

{
  "messages": [
    {"role": "user", "content": "..."},
    {"role": "assistant", "content": "..."}
  ],
  "type": "supra_cot"
}

A compatible chat_template.jinja (ChatML) is included in the repository.

Disclaimers & Licenses

Built from curated subsets of:

SupraLabs/Supra-Reasoning-CoT-Dataset-v2
saidutta69/fable-5-premium-v2
v2ray/4chan
scratchyone/anon-greentext
DavidTKeane/4claw-ai-agent-dataset

Contains informal, offensive, uncensored, and imageboard-style text by design. Each upstream source maintains its respective license and terms.

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