Split (1)

train · 1.82k rows

Subsets and Splits

No community queries yet

The top public SQL queries from the community will appear here once available.

conversations listlengths 3 3	meta dict
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A fair six-sided die is rolled once. If the result is an even number, you win that many dollars (e.g., rolling a 4 win...	{ "id": "gen-844c21bae71532c1", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A fair six-sided die is rolled once. If the result is an even number, you win that many dollars (e.g., rolling a 4 wins $4). If the result is an odd number, you los...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "An initially empty hash table with 10 slots uses open addressing with linear probing and the hash function h(k) = k mo...	{ "id": "gen-688bea6c9d1a5f78", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "An initially empty hash table with 10 slots uses open addressing with linear probing and the hash function h(k) = k mod 10. The keys 12, 22, 32, 42, and 52 are inse...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A cube with side length 6 has vertices at (0,0,0), (6,0,0), (0,6,0), (0,0,6), (6,6,0), (6,0,6), (0,6,6), and (6,6,6). ...	{ "id": "gen-5b0557ff6476e70e", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A cube with side length 6 has vertices at (0,0,0), (6,0,0), (0,6,0), (0,0,6), (6,6,0), (6,0,6), (0,6,6), and (6,6,6). A plane passes through the points (6,0,0), (0,...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "We need to write a single introductory question about economics and incentives. Must be self-contained, single correct...	{ "id": "gen-a0205488393cbb3d", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "We need to write a single introductory question about economics and incentives. Must be self-contained, single correct answer, solvable through explicit reasoning, ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A program is intended to compute the sum of all even integers from 1 to N (inclusive), where N is a positive integer p...	{ "id": "gen-56c4de2cddc3ad1c", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A program is intended to compute the sum of all even integers from 1 to N (inclusive), where N is a positive integer provided by the user. The programmer wrote the ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "The following table shows quarterly sales (in thousands of units) for four regions:\n\nRegion \| Q1 \| Q2 \| Q3 \| Q4\nNor...	{ "id": "gen-37b96be6154f15d0", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "The following table shows quarterly sales (in thousands of units) for four regions:\n\nRegion \| Q1 \| Q2 \| Q3 \| Q4\nNorth \| 120 \| 150 \| 130 \| 160\nSouth \| 200 \| 210 ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Consider the following algorithm for computing the greatest common divisor (GCD) of two positive integers a and b:\n\n...	{ "id": "gen-88175fde8abfa4fe", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Consider the following algorithm for computing the greatest common divisor (GCD) of two positive integers a and b:\n\nwhile b ≠ 0:\n t = b\n b = a mod b\n ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "In a blocks world, there are four blocks labeled 1, 2, 3, and 4. The initial configuration is: Block 1 is on the table...	{ "id": "gen-400ec6f8c48aca94", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "In a blocks world, there are four blocks labeled 1, 2, 3, and 4. The initial configuration is: Block 1 is on the table with Block 2 on top of it; Block 3 is on the ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A cube has side length 6. A tetrahedron is formed by one vertex of the cube and the three vertices adjacent to that ve...	{ "id": "gen-5fbf62d393928e31", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A cube has side length 6. A tetrahedron is formed by one vertex of the cube and the three vertices adjacent to that vertex. A sphere is inscribed in this tetrahedro...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A cylindrical glass is filled exactly to the brim with water at 0°C. A large ice cube floats in the water, with a smal...	{ "id": "gen-13d5e309906a6f3b", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A cylindrical glass is filled exactly to the brim with water at 0°C. A large ice cube floats in the water, with a small solid metal nut (denser than water) frozen c...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "We need to write an advanced question about algorithms and data structures, self-contained, single correct answer, sol...	{ "id": "gen-05228e84ea794e61", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "We need to write an advanced question about algorithms and data structures, self-contained, single correct answer, solvable through reasoning. No answer, no hints. ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A delivery drone must transport three packages (A, B, C) from a warehouse to three distinct destinations (X, Y, Z) in ...	{ "id": "gen-5aebbf163b92406f", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A delivery drone must transport three packages (A, B, C) from a warehouse to three distinct destinations (X, Y, Z) in a single flight. The drone can carry at most t...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A dynamic array starts with a capacity of 1. Whenever an insertion causes the array to become full, its capacity is do...	{ "id": "gen-f9b094559b89b5f5", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A dynamic array starts with a capacity of 1. Whenever an insertion causes the array to become full, its capacity is doubled. If you insert 10 elements into an initi...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Consider a particle of mass \\( m \\) constrained to move without friction along a helical wire defined in cylindrical...	{ "id": "gen-27929deef3476372", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Consider a particle of mass \\( m \\) constrained to move without friction along a helical wire defined in cylindrical coordinates by \\( r = a \\), \\( z = b\\phi ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Consider the following Python function intended to compute the sum of all even numbers in a list that are strictly gre...	{ "id": "gen-0dab9de4357a9716", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Consider the following Python function intended to compute the sum of all even numbers in a list that are strictly greater than a given threshold:\n\n```python\ndef...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Find the smallest positive integer $n$ such that $n$ leaves a remainder of $2$ when divided by $3$, a remainder of $3$...	{ "id": "gen-c3860479739af292", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Find the smallest positive integer $n$ such that $n$ leaves a remainder of $2$ when divided by $3$, a remainder of $3$ when divided by $5$, and a remainder of $4$ w...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "From a group of 7 men and 5 women, how many different committees of 4 people can be formed if the committee must inclu...	{ "id": "gen-479d4bdfb25eee00", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "From a group of 7 men and 5 women, how many different committees of 4 people can be formed if the committee must include at least 2 women?", "reasoning": "We need...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "During a severe pandemic, a hospital has only one ventilator available. Three patients urgently need it. Their relevan...	{ "id": "gen-1a38f668896efc3e", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "During a severe pandemic, a hospital has only one ventilator available. Three patients urgently need it. Their relevant medical data are:\n\n- Patient A: Age 30...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A hash table of size 13 uses open addressing with quadratic probing. The hash function is h(k) = k mod 13. The probe s...	{ "id": "gen-958747a7589f9fad", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A hash table of size 13 uses open addressing with quadratic probing. The hash function is h(k) = k mod 13. The probe sequence for a key k is (h(k) + i^2) mod 13 for...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Consider the following Python program designed to find the length of the longest substring without repeating character...	{ "id": "gen-4c4858eb1c5550b3", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Consider the following Python program designed to find the length of the longest substring without repeating characters in a given string `s`. The algorithm uses a ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Find the smallest positive integer $n$ such that $n^2$ ends in the digits $444$ (in base 10)." }, { "from": "g...	{ "id": "gen-d4c4478695908bd0", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Find the smallest positive integer $n$ such that $n^2$ ends in the digits $444$ (in base 10).", "reasoning": "We need to find the smallest positive integer n such...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "The table below shows Q2 financial data and Q3 projections for four products.\n\n\| Product \| Q2 Revenue ($000s) \| Q2 C...	{ "id": "gen-5bb14b4b51878d78", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "The table below shows Q2 financial data and Q3 projections for four products.\n\n\| Product \| Q2 Revenue ($000s) \| Q2 Cost ($000s) \| Q3 Projected Revenue Growth \| Q3...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A boat is floating in a swimming pool with a heavy rock on board. The rock is thrown overboard and sinks to the bottom...	{ "id": "gen-dbb63d79009f01dc", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A boat is floating in a swimming pool with a heavy rock on board. The rock is thrown overboard and sinks to the bottom. Does the water level in the pool rise, fall,...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A binary min-heap is initially empty and stored in an array using 0-based indexing (root at index 0, left child of i a...	{ "id": "gen-19a5b0100bafa766", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A binary min-heap is initially empty and stored in an array using 0-based indexing (root at index 0, left child of i at 2i+1, right child at 2i+2). The heap support...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A committee of 6 people is to be chosen from 10 men and 7 women. The committee must include at least 2 men and at leas...	{ "id": "gen-cd1cbea0c837b10c", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A committee of 6 people is to be chosen from 10 men and 7 women. The committee must include at least 2 men and at least 2 women. Additionally, two specific men, Ada...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A solid wooden cube measuring 4 cm on each edge is painted blue on all six faces. The cube is then cut into 64 identic...	{ "id": "gen-c8c7f2c73988ed70", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A solid wooden cube measuring 4 cm on each edge is painted blue on all six faces. The cube is then cut into 64 identical smaller cubes, each measuring 1 cm on each ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "What is the IUPAC name of the major organic product formed when 2-methyl-2-butene reacts with hydrogen bromide in the ...	{ "id": "gen-910e5621c6cacecc", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "What is the IUPAC name of the major organic product formed when 2-methyl-2-butene reacts with hydrogen bromide in the presence of a peroxide initiator?", "reasoni...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A software firm pays developers a fixed salary. To boost productivity, it switches to a piece-rate system: $30 per 100...	{ "id": "gen-06dabc2d6ee59633", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A software firm pays developers a fixed salary. To boost productivity, it switches to a piece-rate system: $30 per 100 lines of code committed. Over the next quarte...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Consider the reaction of (2S,3R)-2-bromo-3-methylpentane with potassium tert-butoxide in tert-butanol at 80°C. \n\n(a)...	{ "id": "gen-dc1950bfe487a3fd", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Consider the reaction of (2S,3R)-2-bromo-3-methylpentane with potassium tert-butoxide in tert-butanol at 80°C. \n\n(a) Draw the structure of the major organic produ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "We need to write a single advanced question about classical mechanics. It must be self-contained, have a single correc...	{ "id": "gen-c03da37c4f8a145a", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "We need to write a single advanced question about classical mechanics. It must be self-contained, have a single correct verifiable answer, solvable through explicit...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "There are five houses in a row, numbered 1 to 5 from left to right. Each house has a unique color (red, blue, green, y...	{ "id": "gen-0e7f23582d28e30f", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "There are five houses in a row, numbered 1 to 5 from left to right. Each house has a unique color (red, blue, green, yellow, white), is inhabited by a person with a...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "The table below shows the number of books read by five students during each month of a semester.\n\n\| Student \| Sept...	{ "id": "gen-a1901a495ab93ab5", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "The table below shows the number of books read by five students during each month of a semester.\n\n\| Student \| September \| October \| November \| December \|\n\|----...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Predict the major organic product formed when 2,5-hexanedione is treated with aqueous sodium hydroxide followed by hea...	{ "id": "gen-f9692fb611f23b49", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Predict the major organic product formed when 2,5-hexanedione is treated with aqueous sodium hydroxide followed by heating. Provide the IUPAC name of the product, i...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Consider the following nested loop structure where n is a positive integer:\nfor i = 1 to n:\n for j = 1 to n:\n ...	{ "id": "gen-e1fea38c7d5bc363", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Consider the following nested loop structure where n is a positive integer:\nfor i = 1 to n:\n for j = 1 to n:\n for k = 1 to j:\n // constant-...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "The table below shows the monthly production (in thousands of units) of three factories over a six-month period.\n\nMo...	{ "id": "gen-efa69c40cd17a85b", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "The table below shows the monthly production (in thousands of units) of three factories over a six-month period.\n\nMonth \| Factory A \| Factory B \| Factory C\nJan ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Consider an initially empty queue. The following operations are performed in order: enqueue(10), enqueue(20), dequeue(...	{ "id": "gen-4335ec140e64fbc2", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Consider an initially empty queue. The following operations are performed in order: enqueue(10), enqueue(20), dequeue(), enqueue(30), enqueue(40), dequeue(), dequeu...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A 1.00 kg block of ice at -10.0°C is placed into a perfectly insulated container holding 2.00 kg of liquid water at 20...	{ "id": "gen-fea4b394569f67d6", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A 1.00 kg block of ice at -10.0°C is placed into a perfectly insulated container holding 2.00 kg of liquid water at 20.0°C. The specific heat of ice is 2.09 J/g°C, ...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "A small town has two coffee shops: Bean There and Daily Grind. Both sell identical coffee for $3 per cup and have the ...	{ "id": "gen-4584ecfbd5a9efd2", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "A small town has two coffee shops: Bean There and Daily Grind. Both sell identical coffee for $3 per cup and have the same constant marginal cost of $1 per cup. Cur...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "The table below shows the quarterly performance metrics for four product lines (A, B, C, D) of a technology company fo...	{ "id": "gen-fc575999a7d8d67d", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "The table below shows the quarterly performance metrics for four product lines (A, B, C, D) of a technology company for Q1 and Q2 of 2023.\n\n\| Product Line \| Quart...
[ { "from": "system", "value": "You are an expert tutor. Think step by step and show your full reasoning, then give a clear, correct final answer." }, { "from": "human", "value": "Consider an initially empty stack `S` and an initially empty queue `Q`. The following operations are performed in the ...	{ "id": "gen-5ea5d6f378c35ec6", "source": "generated", "model": "nvidia/nemotron-3-ultra-550b-a55b-20260604:free", "effort": "high", "question": "Consider an initially empty stack `S` and an initially empty queue `Q`. The following operations are performed in the exact order listed:\n\n1. Push 5 onto `S`\n2. ...