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[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "1. Choose two indices $$$i$$$ and $$$j$$$ ($$$i \\neq j$$$);\n2. Set $$$a_i = a_j = |a_i - a_j|$$$." }, { "role": "assistant", "content": "# Analysis of the Array Operation\n\nIt appears...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Write the next sentence in the following story.\n\nWe see a lady in a nurse shirt talking and two dogs in a kitchen. The lady has a small wet dog she is vacuuming on table and is brushing the dog. w...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Detailed Instructions: In this task you are given a statement and an explanation giving you further knowledge about an entity in the statement. You must judge whether the statement is true or false ...
{ "model": "claude-opus-4.6", "difficulty": "phd", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Answer the following question: Addison held the camera in position to take the landscape photograph. Given that the answer to a question is \"get a good photo\", what is the question?\nAnswer:" }...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Answer a question about this article:\nTucson's largest park, Reid Park, is located in midtown and includes Reid Park Zoo and Hi Corbett Field. Speedway Boulevard, a major east-west arterial road in...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "You are given a list of n different words. Your task is to find a set of their shortened variants. The shortened variants of all words from the list should be different." }, { "role": "assis...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "The expert wants you to automate that procedure because this time texts of leaflets are too long. Help him!" }, { "role": "assistant", "content": "I'd be happy to help you automate a pro...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "If there are multiple possible solutions, print any." }, { "role": "assistant", "content": "I don't see an actual problem or question in your message. You've only provided instructions a...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "David Thompson was born in Westminster, Middlesex, to recent Welsh migrants David and Ann Thompson. When Thompson was two, his father died. Due to the financial hardship with his mother without reso...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "On a moonless night, three fireflies danced in the evening breeze. They were joined by four less than a dozen more fireflies, before two of the fireflies flew away. How many fireflies remained?" ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Given the following context: At 53°27′46″N 2°25′54″W (53.4629, -2.4316), Chat Moss lies at the southern edge of the Lancashire Plain, an area of Bunter sandstones overlaid with marls laid down duri...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Why do bubbles stop flowing from a hot tub jet when partially covered, even though water continues to flow?A: Pressure\nB: Temperature\nC: Water Flow Rate\nD: Jet Diameter" }, { "role": "ass...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Write an article using the following points:\n\nRoyal couple went on a brief walkabout as they made their way into the main grandstand at Flemington racecourse. Duchess of Cornwall's first visit to ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "## Editorial\nLet $$$ f_i (s) $$$ be a function of the string $$$ s $$$ equal to $$$ 1 $$$ if the prefix and suffix of length $$$ i $$$ are equal, and equal to $$$ 0 $$$ otherwise. We need to calcul...
{ "model": "claude-opus-4.6", "difficulty": "phd", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Question: Information: - André \"Doctor Dré\" Brown (born December 5, 1963) is an American radio personality and former MTV VJ. He was born in Westbury, New York. - Westbury incorporated in 1932 a...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "code" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "What a long, drawn-out, pointless movie. I'm sure that historically this film is delightful but as entertainment goes it just doesn't make the grade. Ralph Fiennes has been in some fantastic movies,...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Given the question: Read the passage below and choose the right answer to the following question (choices are increased or decreased ): In a series circuit, the resistance increases as more resisto...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "What is the basis for the Symmetrization Postulate in quantum mechanics?A: Quantum field theory\nB: Mathematical derivation\nC: Experimental observation\nD: Theoretical prediction" }, { "rol...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Write a sentence that is about a restaurant with all the following properties: name = Fitzbillies, food = Italian, priceRange = less than £20, near = The Six Bells" }, { "role": "assistant",...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Teacher:Given a post that is a real-life anecdote of a complex ethical situation and a question asks if AUTHOR, NOBODY, EVERYBODY, or OTHER is wrong in the situation. Answer the question and classif...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Please answer the following question: Here's a complex question that requires someone to reason about the input, can you answer it? Blade a video gamed based on the adaptation of the Blade character...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Given the question: Combine facts and answer this: Who was the lyricist who wrote over 51% of the music for the Musical \"Once\" that won the 2013 Grammy Award for Best Musical Theater Album?\nThe ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "How do you convert particles per liter to grams per liter?A: \\( x \\frac{particles}{L} \\times \\frac {1 mol}{6.023 \\times 10^{23}particles}\\times \\frac{volume \\, L}{mol} \\)\nB: \\( x \\frac{p...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "## Note\nFor the first and second test, the list of almost sorted permutations with $$$n = 1$$$ is $$$\\{[1]\\}$$$." }, { "role": "assistant", "content": "# Analysis of Almost Sorted Per...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Write a sentence about the following things:\n\negg, mix, salt" }, { "role": "assistant", "content": "**Solution:**\n\nTo construct the sentence, I identified a common culinary scenario ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Generate an array of 20 random numbers between 0 and 10 (inclusive).\n" }, { "role": "assistant", "content": "<recording>\nThe user wants me to generate an array of 20 random numbers bet...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "code" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Generate a 5-star review (1 being lowest and 5 being highest) about an app with package com.easytarget.micopi.\nAnswer:" }, { "role": "assistant", "content": "## I Cannot Fulfill This Re...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "## Output Format\nIn the only line print the maximum number of rooks Oleg can place on the board so that no two rooks beat each other." }, { "role": "assistant", "content": "I notice you...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Bryan bought three different bottles of milk. The bottles contain the following volumes of milk: 2 liters, 750 milliliters, 250 milliliters. How many liters of milk did Bryan buy in total?" }, {...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Fire!" }, { "role": "assistant", "content": "# 🔥 Understanding Fire: A Scientific Analysis\n\n## What is Fire?\n\n**Fire is a rapid oxidation reaction (combustion) that releases energy ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Note that the answer may not fit into 32-bit data types." }, { "role": "assistant", "content": "I'd be happy to help you solve a problem with detailed reasoning and verification! However...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Question 1: What is the difference between atomic mass, mass number, atomic weight, and relative atomic mass?\nQuestion 2: What is the mass in grams of 11 atoms of potassium?\n\nWould the answer to ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "How does this story end?\n\n(CNN) -- When the lights went out during the magic show, the Costa Concordia passengers watching thought it was part of the act. Then there was a scraping sound, the ship...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "[i]Proposed by Evan Fang" }, { "role": "assistant", "content": "I notice you've provided instructions for how you'd like me to format my response, but I don't see the actual problem stat...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "1. It is a segment of the Natchez Trace , located at an interpretive stop of Natchez Trace Parkway .\n2. It is a segment of the Natchez Trace located at a Natchez Trace Parkway interpretive stop .\n...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Please answer the following question by reasoning step-by-step. Premise: \"A woman sits at a table near a window.\"\nHypothesis: \"With a plate and glass in front of her.\"\nIs the hypothesis entail...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Authors: Begun $\\underline{\\text { A.V. }}, \\underline{\\text { Goryashin D.V. }}$" }, { "role": "assistant", "content": "I notice that your message appears to contain only author nam...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Given the sentence \"A little boy attempts to fix his bike.\" is it true that \"A boy standing near a broken bike.\"? A step-by-step solution is:\n" }, { "role": "assistant", "content": ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Trinidad \"Trini\" Alvarado (born January 10, 1967) is an American actress best known for her performances as Margaret \"Meg\" March in the 1994 film adaptation of Louisa May Alcott's novel \"Little...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "## Output Format\nFor each test case, print a single integer — the minimum difference over all possible pairs of the given strings." }, { "role": "assistant", "content": "# Minimum Diffe...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "I kinda wanna know what he's like in bed, but he's my partners best friend.." }, { "role": "assistant", "content": "This sounds like you're navigating a complicated attraction, and that'...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Given this review: \"Wifimatic Really good\" Would you recommend this app to a friend? Not at all, No, Maybe, Yes, or Definitely?\nAnswer:" }, { "role": "assistant", "content": "Based on...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Produce a sentence which mentions all of these concepts: come, curve, track, train" }, { "role": "assistant", "content": "Looking at the four required concepts:\n- **come**: verb meaning...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Q:Found the following article online, use it to answer the question: Who searches the plane wreckage? In the South Seas, a volcano explodes, eventually causing North Pole icebergs to shift. Below t...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Definition: In this task, you are given two strings A,B. Find the longer of the two lists, convert it to lowercase, and return all the unique alphabets used in it. The two input strings are never eq...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": " a. No; b. Yes;\nQ: I am verifying the answers generated by an automatic system to the following question: how is rfid tag powered Suggested answer: Some tags are powered and read at short ranges (a...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "You will be given a definition of a task first, then some input of the task.\nGiven a question and a context passage, generate the answer having the word or phrase from the context passage. Here, th...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "In the second example, there are $$$4$$$ houses, the maximum height of a house is $$$10$$$, and there are $$$2$$$ restrictions. The first restriction says the tallest house from $$$2$$$ to $$$3$$$ m...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Yuna wants to multiply 8 by some number. If the result of multiplying 4 by any number by mistake is 60, find the correct result." }, { "role": "assistant", "content": "<analysis>\nLet me...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "At the intersection of two walls there are four comers: two diagonally opposite corners where a red side and a blue side meet, one corner where two red sides meet, and one corner where two blue side...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Please answer the following question: I can use this background: In slippery conditions some riders prefer to ride fixed because they believe the transmission provides increased feedback on back tir...
{ "model": "claude-opus-4.6", "difficulty": "phd", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Don't forget that it is possible to have $$$a_i = 0$$$ after some operations, thus the answer always exists." }, { "role": "assistant", "content": "I'd be happy to help you solve this pr...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "In this task, you are given a sentence or phrase in English. You must translate it to Xhosa in a way that is equivalent in terms of meaning and grammatically correct.\nQ: Her sister was in Hong Kong...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "In the fourth test case, the partition $$$\\{1, 2, 3, 4\\}$$$, $$$\\{5, 6, 7, 8\\}$$$ is good because all subsets are spiderweb subtrees." }, { "role": "assistant", "content": "I notice ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Please answer the following question: Write a multi-choice question for the following article, with the given choices and answer: Article: August was one of the nastiest months I can remember: torre...
{ "model": "claude-opus-4.6", "difficulty": "phd", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "How many dimensions does string theory require?A: 10\nB: 4\nC: 26\nD: 11" }, { "role": "assistant", "content": "The correct answer is **A: 10**.\n\n**Reasoning:**\n\n1. **Bosonic String...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Find the number of nonnegative integer solutions (x,y,z) to x+2y+5z=40." }, { "role": "assistant", "content": "# Finding Nonnegative Integer Solutions to $x + 2y + 5z = 40$\n\n## Strateg...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "took my girl out to a nightclub and she got pretty drunk and started dirty dancing with guys rubbing her ass into their cocks etc She got one guy so horny he shoved his hand up her skirt and fingere...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Julio makes a mocktail every evening. He uses 1 tablespoon of lime juice and tops with 1 cup of sparkling water. He can usually squeeze 2 tablespoons of lime juice per lime. After 30 days, if li...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "What allows the conduction band in semiconductors to conduct electricity?A: antibonding molecular orbitals\nB: electrons in conduction band\nC: thermal energy alone\nD: holes in valence band" }, ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Generate a Python decorator for calculating the time taken for a function to execute.\nNot applicable" }, { "role": "assistant", "content": "The task is to create a Python decorator that...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "code" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Yuna and her friends are of different heights. The teacher lined up in order from the smallest height, and Yuna was 4th from the front and 6th from the back. How many Yuna and her friends are there?...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Does a catalyst specific to the forward reaction shift the position of equilibrium?A: Shifts equilibrium towards the forward reaction\nB: Increases the equilibrium constant\nC: Shifts equilibrium to...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Create a function in Python to optimize a cost function using gradient descent.\nA cost function of the form f(x) = x^2 + 10." }, { "role": "assistant", "content": "Here is the step-by-s...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "code" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Cush and pain meds are the only things helping me sleep. Cocaine is the only thing helping me stay sane. If only melatonin did what is was supposed to. I wouldn't be in this mess." }, { "rol...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "What does the term \"Rayleigh-Jeans tail\" refer to in the context of blackbody emission spectra?A: peak frequency of the blackbody radiation curve\nB: high-frequency end of the blackbody radiation ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Bug: `formatCurrency` rounds 2.005 to 2.00 instead of 2.01 | Steps: format with 2 decimals | Expected: banker's/half-up spec | Actual: truncation." }, { "role": "assistant", "content": "...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Where does the magnetic field energy in a current-carrying wire originate from?A: Resistance converts heat into magnetic energy\nB: Battery supplies initial energy\nC: Energy is continuously supplie...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "I make up personalities to be nice, but honestly it's starting to get to the point where they feel like separate people from me and I'm scared I'm not real" }, { "role": "assistant", "co...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "I’m so sad all the time and I don’t know what to do about it the stroke recovery worries me, and I’m just sure that I’m coming up to another one probably one that will kill me then I’ve done some of...
{ "model": "claude-opus-4.6", "difficulty": "phd", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Translate \"Máchova 11, 120 00 - Praha 2, Czech Republic, Tel.:\" to Czech?" }, { "role": "assistant", "content": "## Analysis and Translation\n\n### Breaking down the source text:\n\n| ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "## Task B-3.4." }, { "role": "assistant", "content": "It appears that the problem statement for **Task B-3.4** is missing from your message. You've provided the instructions for how you'...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "BacktofrontpageSendusane-mail\nGenerate a sentence using the above characters:" }, { "role": "assistant", "content": "## Solution\n\nThe sentence hidden within the characters is:\n\n**\"...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Determine the set of all real numbers \\(x\\) for which the term \\(\\lg \\left(x^{2}+7 x-30\\right)\\) is defined!" }, { "role": "assistant", "content": "# Solution: Domain of $\\lg(x^2...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Question: Found the following article online, use it to answer the question: What is the full name of King Krishnadevaraya court jester? The Kannada poets and scholars of the empire produced import...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "In an ideal solenoid, what current is used to calculate the magnetic field when applying Ampere's law?A: n/I\nB: nI\nC: I\nD: I/n" }, { "role": "assistant", "content": "**Answer: B (nI)*...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Question: Which ship sank somewhere near the North Reef? If there is no answer, please output \"Insufficient information to provide an answer.\". Movie title: Into the Blue 2: The Reef Context: On a...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "In the U.S., the majority of electricity is produced by burning coal or other fossil fuels. This causes air pollution, acid rain, and global warming. Fossil fuels are also limited and may eventually...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "I will never forgive my rich grandpa. He always boasts about his wealth but doesn't give me any and i'm his favorite grandchild because i constantly visit him and call him. Nobody else does and when...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "## Examples\n```input\n5 1\nBGGBG\n```\n```output\nGBGGB\n```\n-----\n```input\n5 2\nBGGBG\n```\n```output\nGGBGB\n```\n-----\n```input\n4 1\nGGGB\n```\n```output\nGGGB\n```" }, { "role": "a...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Teacher:Given a sentence in the Thai, provide an equivalent translation in Japanese that retains the same meaning through the translation. In translation, keep numbers as it is.\nTeacher: Now, under...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Write down the solution for this math problem: Solve 3*s - 187 = -199 for s." }, { "role": "assistant", "content": "# Solving the Equation: 3s - 187 = -199\n\n## Problem\nI need to find ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Please briefly summarize this news article:\n\nProsecutors will Seek Death Penalty for Alleged Charleston Shooter Dylann Roof : People.com\n\n09/03/2015 AT 02:35 PM EDT\n\nSouth Carolina prosecutors...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "I get weirdly excited when my friend teased me to say embarrassing things or slightly hurt me in playful manner. I dont think about them like that at all but those actions make me feel so happy. I d...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "In a cube-shaped box, how many edges are there?" }, { "role": "assistant", "content": "# Counting the Edges of a Cube\n\n## Understanding the Problem\nAn **edge** is a line segment where...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "0 011001 // the guess is 011001" }, { "role": "assistant", "content": "# Mastermind Feedback Analysis\n\n## Understanding the Notation\n\nThe format `0 011001` appears to be Mastermind g...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Complete the following sentence.\n\nJohn realized he needed to scoop several spoonful of butter to empty the bucket because the " }, { "role": "assistant", "content": ": **bucket was ful...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Ne dorim o strategie de negociere realistă şi care poate fi pusă în practică, dar cum nu au fost stabilite priorităţi clare în acest raport, suntem de părere că acest obiectiv nu a fost îndeplinit.\...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "If Jaxon received 15 toys and Gabriel has twice as many toys as Jaxon, with Jerry receiving 8 more toys than Gabriel, what is the total number of toys that Jerry, Gabriel, and Jaxon have combined?" ...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Ben works some hours per shift in a furniture shop. It takes him 5 hours to build 1 rocking chair. In 10 days, he can build 16 chairs. How many hours does he work per shift?" }, { "role": "a...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Instructions: In this task, you are given a sentence and a gender. The sentence mentions two professions: one's gender is unknown and the other's gender can be identified using the gendered pronouns...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "I'm not good enough, I never have been! My parents always called me an irritant and my husband has made it clear that he and my son would be better off without me! I wish I had the guts/bravery to e...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "For the third query $$$F(5, 10) = 6$$$ holds." }, { "role": "assistant", "content": "# Analysis\n\nI notice that this question references a function $F(5, 10) = 6$, but **the function $F...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Given the following passage \"Emotions have been described by some theorists as discrete and consistent responses to internal or external events which have a particular significance for the organis...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Question: Generate a 2-star review (1 being lowest and 5 being highest) about an app with package org.wahtod.wififixer.\nAnswer:" }, { "role": "assistant", "content": "Here's a 2-star re...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Write a Python function that takes a string as input and checks if it is a palindrome or not.\nNot applicable" }, { "role": "assistant", "content": "# Palindrome Checker: Analysis and Im...
{ "model": "claude-opus-4.6", "difficulty": "hard", "category": "code" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Solve the equation:" }, { "role": "assistant", "content": "It appears you haven't provided the equation you'd like me to solve. The prompt ends with \"Solve the equation:\" but no equati...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Is this product review positive? Title: Randomly turns itself off for no reason Review: I really thought this was a bargain and I would love the device if it would just stay powered on! I only had m...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "Information: - A radio station is a set of equipment necessary to carry on communication via radio waves. Generally, it is a receiver or transmitter, an antenna, and some smaller additional equipme...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }
[ { "role": "system", "content": "You are a helpful AI assistant." }, { "role": "user", "content": "In the third example, there is only one variant: $$$(3, 2)$$$." }, { "role": "assistant", "content": "# Analysis Needed\n\nI notice you're referring to \"the third example\" with a varia...
{ "model": "claude-opus-4.6", "difficulty": "medium", "category": "math" }