messages listlengths 2 12 | source stringclasses 9
values | lang stringclasses 1
value | provenance stringclasses 2
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|---|---|---|---|
[
{
"role": "user",
"content": "Given the following facts:\n- Alice is taller than Bob.\n- Charlie is taller than Alice.\n- Bob is taller than Henry.\nWho is the third tallest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Charlie > Alice > Bob > Henry.\nStep ... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Let A = {1, 2} and B = {3, 4}. Find (A ∩ B) x A and (A x B) ∩ (A x A)."
},
{
"role": "assistant",
"content": "First, let's find A ∩ B. The intersection of two sets is the set of elements that are common to both sets. In this case, there are no common elements betwee... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "Peter's Party Zone sells cups in packages of some number and plates in packages of 8. Shaniya is hosting a birthday party for her little sister and wants to have the same number of each item. She needs to buy at least 24 packages of plates. How many cups are in a package?"
},... | orca_math | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Charlie is faster than Emma.\n- Emma is faster than David.\n- Grace is faster than Charlie.\nWho is the third fastest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Grace > Charlie > Emma > David.\n... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Let $S$ be the sum of the first nine terms of the sequence \\[x+a, x^2+2a, x^3+3a, \\cdots.\\]\nThen $S$ equals:\n$ \\textbf{(A)}\\ \\frac{50a+x+x^8}{x+1} \\qquad\\textbf{(B)}\\ 50a-\\frac{x+x^{10}}{x-1}\\qquad\\textbf{(C)}\\ \\frac{x^9-1}{x+1}+45a\\qquad$$\\textbf{(D)}\\ \\fra... | openr1_math | english | curated |
[
{
"role": "user",
"content": "Each year for 4 years, a farmer increased the number of trees in a certain orchard by a certain fraction of the number of trees in the orchard of the preceding year. If all of the trees thrived and there were 5625 trees in the orchard at the end of the 4-year period, and there ... | orca_math | english | curated |
[
{
"role": "user",
"content": "A bag contains marbles: 37 green, 4 yellow, 33 purple, 18 white, 6 black. One marble is drawn at random. What is the probability of drawing a yellow marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 37 + 4 + 33 + 18 + 6 = 98.\nStep 2: F... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "5. Given the equation about the real number $x$: $(1+\\mathrm{i} x)^{n}=$ (1-ix)\"A (where $A \\in \\mathbf{C}, n \\in \\mathbf{N}_{+}$) has exactly one solution. Then $\\Lambda$ $n$ satisfies ( ).\n(A) $|A|=1, n \\in \\mathbf{N}_{+}$\n(B) $|A|=1, n=1$ or 2\n(C) $A=1, n \\in \\... | openr1_math | english | curated |
[
{
"role": "user",
"content": "A bag contains marbles: 14 yellow, 26 green, 13 red, 27 blue, 35 white. One marble is drawn at random. What is the probability of drawing a green marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 14 + 26 + 13 + 27 + 35 = 115.\nStep 2: F... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "[ $\\underline{\\text { Mutual }} \\underline{\\text { position of altitudes, medians, angle bisectors, etc. ] }}$\n\nIt is known that in a certain triangle, the median, angle bisector,\n\nand altitude drawn from vertex $C$ divide the angle into four equal\n\nparts. Find the an... | openr1_math | english | curated |
[
{
"role": "user",
"content": "12.48 The variable $y$ is inversely proportional to the variable $x$. Find the coefficient $k$ of inverse proportionality and fill in the table:\n\n| $x$ | | 0.1 | 9.6 |\n| :---: | :---: | :---: | :---: |\n| $y$ | 30 | | 3.05 |\n\nOn the graph of the given inverse proportiona... | openr1_math | english | curated |
[
{
"role": "user",
"content": "A bag contains marbles: 24 purple, 23 black, 6 yellow, 39 white, 33 green. One marble is drawn at random. What is the probability of drawing a yellow marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 24 + 23 + 6 + 39 + 33 = 125.\nStep 2... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "A bag contains marbles: 21 purple, 33 orange, 2 red, 20 green, 23 white. One marble is drawn at random. What is the probability of drawing a orange marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 21 + 33 + 2 + 20 + 23 = 99.\nStep 2: F... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "if the product of 10 integers is negative , at most how many of the integers can be negative ?"
},
{
"role": "assistant",
"content": "<think>\nFor the product of integers to be negative, there must be an odd number of negative factors. If there were an even number o... | orca_math | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Bob is scored higher than Grace.\n- David is scored higher than Henry.\n- Grace is scored higher than David.\nWho is the lowest scorer?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Bob > Grace > Da... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Please answer the following question: Jordan turned the car to the right to avoid the person on the bike. Given that the answer to a question is \"be driving the car\", what is the question?\nA:"
},
{
"role": "assistant",
"content": "A: What action must Jordan be p... | slimorca | english | curated |
[
{
"role": "user",
"content": "20. Jeff went to the store to buy socks, which are priced at 1 yuan, 3 yuan, and 4 yuan per pair. If Jeff paid a total of 24 yuan for 12 pairs of socks, and he bought at least one pair of each price, then how many pairs of socks priced at 1 yuan did he buy?\n(A) 4\n(B) 5\n(C) 6... | openr1_math | english | curated |
[
{
"role": "user",
"content": "The arithmetic mean of a certain normal distribution is 16.5, and the standard deviation is 1.5. A value is exactly 2 standard deviations less than the mean. What is the value?"
},
{
"role": "assistant",
"content": "<think>\nTo find the value that is exactly 2 stand... | orca_math | english | curated |
[
{
"role": "user",
"content": "The line $y=2 x+4$ intersects the $y$-axis at $R$, as shown. A second line, parallel to the $y$-axis, is drawn through $P(p, 0)$, with $p>0$. These two lines intersect at $Q$.\n\n(a) Determine the length of $O R$. (Note that $O$ is the origin $(0,0)$.)\n\n(b) Determine the coor... | openr1_math | english | curated |
[
{
"role": "user",
"content": "Out of 15 members in a club, how many ways can the club choose 2 members to be co-presidents?"
},
{
"role": "assistant",
"content": "<think>\nThere are 15 options for the first co-president and 14 options for the second co-president.\nHowever, the order in which we ... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "[Theorem on the lengths of a tangent and a secant; the product of the entire secant and its external part Rhombi. Properties and criteria\n\nIn rhombus $A B C D$, a circle of radius $R$ is inscribed, touching side $A D$ at point $M$ and intersecting segment $M C$ at point $N$ s... | openr1_math | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Emma is faster than Frank.\n- Frank is faster than Alice.\n- Charlie is faster than Emma.\nWho is the fastest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Charlie > Emma > Frank > Alice.\nStep 2: ... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "If 40 men take 15 days to complete a job, in how many days can a different number of men finish that work if it takes them 24 days?"
},
{
"role": "assistant",
"content": "<think>\nTo solve this problem, we can use the concept of man-days, which is a way to measure t... | orca_math | english | curated |
[
{
"role": "user",
"content": "Suppose $11^5\\equiv n\\pmod 9$, where $0\\le n<9$.\n\nWhat is the value of $n$?"
},
{
"role": "assistant",
"content": "<think>\nWe can use the property of congruence that if $a\\equiv b\\pmod m$ and $c\\equiv d\\pmod m$, then $a+c\\equiv b+d\\pmod m$.\nWe know that... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "How can I generate a random sound in C++ that captures the essence of mystery and intrigue, similar to the sound heard in a forest at night? Can you provide a sample code for generating a mysterious and intriguing sound in C++? Additionally, the sound must have a duration of at... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Emma is older than Charlie.\n- Bob is older than David.\n- David is older than Emma.\nWho is the oldest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Bob > David > Emma > Charlie.\nStep 2: Full ord... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Keaton has a farm of oranges and apples. He can harvest his oranges every 2 months and can sell the harvest for $50. He can harvest his apples every 3 months and can sell this harvest for a certain amount. Keaton can earn $420 every year. How much money can Keaton earn from sel... | orca_math | english | curated |
[
{
"role": "user",
"content": "Imagine you are Gandalf from Lord of the Rings. In his style, write a speech encouraging a team before a big game."
},
{
"role": "assistant",
"content": "Friends, comrades, warriors of the field! Hearken unto me this day as we stand upon the precipice of a great con... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 28 boys in the camp that are from school A but do not study science, what is the total number of boys in the camp?"
},
{
"role": "assistant",
"content": "<th... | orca_math | english | curated |
[
{
"role": "user",
"content": "A bag contains marbles: 32 orange, 34 red, 13 black, 32 blue, 30 yellow. One marble is drawn at random. What is the probability of drawing a red marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 32 + 34 + 13 + 32 + 30 = 141.\nStep 2: Fa... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Jake's neighbors hire him to mow their lawn and plant some flowers. Mowing the lawn takes 1 hour and pays $15. If Jake wants to make $20/hour working for the neighbors, and planting the flowers takes a certain amount of time, Jake should charge $45 in total for planting the flo... | orca_math | english | curated |
[
{
"role": "user",
"content": "When you press buttons 1, 2, and 3 once, how many different ways can you press them in a different order?"
},
{
"role": "assistant",
"content": "<think>\nWhen you press buttons 1, 2, and 3 once each in different orders, you are looking for the number of permutations... | orca_math | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Alice is scored higher than Grace.\n- Bob is scored higher than Henry.\n- Henry is scored higher than Alice.\nWho is the second highest scorer?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Bob > He... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Given the following facts:\n- Grace is older than Charlie.\n- Bob is older than Frank.\n- Charlie is older than Bob.\nWho is the oldest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Grace > Charlie > Bob > Frank.\nStep 2: Full ... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Given the intersection points of a line with the sides of a right-angled quadrilateral and the length of one of its sides, construct this right-angled quadrilateral. When is this task solvable, and if it is solvable, in how many ways can it be done?"
},
{
"role": "assis... | numina_math_cot | english | curated |
[
{
"role": "user",
"content": "A bag contains marbles: 17 white, 21 purple, 25 black, 26 green. One marble is drawn at random. What is the probability of drawing a black marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 17 + 21 + 25 + 26 = 89.\nStep 2: Favorable outc... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "A bag contains marbles: 35 green, 24 yellow, 26 purple, 35 orange, 13 blue. One marble is drawn at random. What is the probability of drawing a purple marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 35 + 24 + 26 + 35 + 13 = 133.\nStep... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Given the following facts:\n- Alice is taller than Charlie.\n- Bob is taller than Alice.\n- Henry is taller than Bob.\nWho is the shortest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Henry > Bob > Alice > Charlie.\nStep 2: Fu... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "A bag contains marbles: 21 blue, 33 black, 33 white, 33 purple, 9 orange. One marble is drawn at random. What is the probability of drawing a purple marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 21 + 33 + 33 + 33 + 9 = 129.\nStep 2:... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Given the following facts:\n- Grace is faster than Frank.\n- Frank is faster than David.\n- David is faster than Emma.\nWho is the slowest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Grace > Frank > David > Emma.\nStep 2: Ful... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Eve ran 0.7 mile and walked 0.6 mile. How much farther did Eve run than walk?"
},
{
"role": "assistant",
"content": "<think>\nEve ran 0.7 mile and walked 0.6 mile. To find out how much farther she ran than walked, you subtract the distance walked from the distance r... | orca_math | english | curated |
[
{
"role": "user",
"content": "In the triangle $ \\triangle ABC $, if $(\\sin A + \\sin B)(\\cos A + \\cos B) = 2 \\sin C$, then which of the following statements is true?\n(A) $ \\triangle ABC $ is an isosceles triangle, but not necessarily a right triangle.\n(B) $ \\triangle ABC $ is a right triangle, but ... | numina_math_cot | english | curated |
[
{
"role": "user",
"content": "A bag contains marbles: 14 white, 11 purple, 5 red, 10 orange. One marble is drawn at random. What is the probability of drawing a orange marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 14 + 11 + 5 + 10 = 40.\nStep 2: Favorable outcom... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Isabella has $45 more than Sam but only $15 more than Giselle. If Giselle has $120, calculate the total amount of money each shopper will receive if Isabella, Sam, and Giselle donate the money to three shoppers at their local town's supermarket who then decides to share it equa... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "Consider the heat equation on an interval [0, 1]:\n\nu_t = u_xx,\n\nwith initial and boundary conditions:\n\nu(x, 0) = f(x) = x(1-x), u(0, t) = u(1, t) = 0.\n\nUse Fourier series to obtain the solution of this problem in the form:\n\nu(x, t) = ∑n=1^∞ An(t) sin(nπx), \n\nwher... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "Harry is counting the hours that he sleeps. On Monday night, he sleeps for 8 hours. On Tuesday night, he sleeps for 7 hours. On Wednesday night, he sleeps for 8 hours. On Thursday night, he sleeps for 10 hours. On Friday night he sleeps for a certain number of hours. What is th... | orca_math | english | curated |
[
{
"role": "user",
"content": "Create a step-by-step plan to respond to the user's query using the following tools. Every plan should correspond to an evidence value.\n\nAvailable tools:\n\n1. DuckDuckGo[input]: Allows users to search for information using the DuckDuckGo search engine.\n2. TextExtractor[inpu... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Bob is older than Emma.\n- Alice is older than Henry.\n- Emma is older than Alice.\nWho is the oldest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Bob > Emma > Alice > Henry.\nStep 2: Full order f... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "A bag contains marbles: 7 yellow, 39 red, 15 white, 8 blue, 5 orange. One marble is drawn at random. What is the probability of drawing a orange marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 7 + 39 + 15 + 8 + 5 = 74.\nStep 2: Favora... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "A blind cave scorpion survives by catching millipedes. It needs to eat lots of millipedes to survive: a total of 800 body segments every day. If it's already eaten x millipede with 60 segments and 2 millipedes that are twice as long, It needs to eat 10 50-segment millipedes to ... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "How can I modify the following C++ code to create a SQL database table with a different name?\nCurrent code:\n#include <iostream>\n#include <sqlite3.h>\nint main()\n{\n sqlite3* db;\n int rc = sqlite3_open(\"example.db\", &db);\n if (rc)\n {\n std::cout << \"... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "A basket of 1430 apples is divided equally among a group of apple lovers. If some people join the group, each apple lover would receive 9 apples less. Each person got 22 apples before these people joined the feast. How many people joined the group?"
},
{
"role": "assist... | orca_math | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Bob is faster than Henry.\n- Grace is faster than Charlie.\n- Henry is faster than Grace.\nWho is the second fastest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Bob > Henry > Grace > Charlie.\nSt... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "The base plane, axis, and apex of two circular cones are common, the ratio of their aperture angles is $1: 2$. The two generators of the larger aperture angle cone form an angle $\\alpha$. Project these generators perpendicularly onto the base plane, the angle of the projection... | openr1_math | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Emma is older than Grace.\n- Alice is older than Emma.\n- Bob is older than Alice.\nWho is the oldest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Bob > Alice > Emma > Grace.\nStep 2: Full order f... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Red Dave is still young while also very blue and green. Eric is a kind person and he is also often cold. Young Gary has rough, green skin that is always cold. Gary is known for being a nice guy. If someone you know is big, cold, and young, you know they are also kind. When a p... | proofwriter | english | curated |
[
{
"role": "user",
"content": "Find all pairs $ (m,n)$ of integer numbers $ m,n > 1$ with property that $ mn \\minus{} 1\\mid n^3 \\minus{} 1$ ."
},
{
"role": "assistant",
"content": "<think>\nTo find all pairs \\((m, n)\\) of integer numbers \\(m, n > 1\\) such that \\(mn - 1 \\mid n^3 - 1\... | numina_math_cot | english | curated |
[
{
"role": "user",
"content": "Write some highlights for the following article:\n\nSergeant Matthew Gallagher, 22, killed while on tour of duty in Iraq. By. Daily Mail Reporter. Last updated at 8:38 AM on 12th January 2012. Dangerous games: Sgt Matthew Gallagher, 22, died of a gunshot to the head on an army ... | slimorca | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Emma is older than Frank.\n- Frank is older than Henry.\n- Henry is older than Alice.\nWho is the third oldest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Emma > Frank > Henry > Alice.\nStep 2: F... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Porche has 3 hours to get all her homework done. Her math homework takes her 45 minutes. Her English homework takes her 30 minutes. Her science homework takes her x minutes. Her history homework takes her 25 minutes. She also has a special project due the next day. How much tim... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "Find $n$ such that $2^5 \\cdot 3^2 \\cdot n = X!$.\nIf we know the answer to the above question is 140, what is the value of unknown variable X?"
},
{
"role": "assistant",
"content": "<think>\nWe want to find the value of $X$ in the given situation.\nWe are given th... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "3B. Determine the smallest natural number, the product of whose digits is equal to 75600."
},
{
"role": "assistant",
"content": "<think>\nSolution. We factorize the number 75600 into prime factors and get $75600=2^{4} \\cdot 3^{3} \\cdot 5^{2} \\cdot 7$. Since all p... | openr1_math | english | curated |
[
{
"role": "user",
"content": "A bag contains marbles: 26 white, 21 red, 17 green, 26 yellow, 36 purple. One marble is drawn at random. What is the probability of drawing a red marble?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Total marbles = 26 + 21 + 17 + 26 + 36 = 126.\nStep 2: F... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "A man purchased 3 blankets at Rs. 100 each, 2 blankets at Rs. 150 each, and two blankets at a certain rate which is now slipped off from his memory. The unknown rate of the two blankets was Rs. 900. What was the average price of all the blankets?"
},
{
"role": "assistan... | orca_math | english | curated |
[
{
"role": "user",
"content": "Maddie bought 2 packs of white T-shirts and 4 packs of blue T-shirts for her basketball team. The white T-shirts come in packs of 5, and the blue T-shirts come in packs of 3. Each T-shirt cost a certain amount. Maddie spent $66 in all. How much does each T-shirt cost?"
},
{... | orca_math | english | curated |
[
{
"role": "user",
"content": "Jessica spent some money on a cat toy, and a cage cost her $11.73. The total cost of Jessica's purchases was $21.95. How much did the cat toy cost?"
},
{
"role": "assistant",
"content": "<think>\nTo find out how much the cat toy cost, we need to subtract the cost of... | orca_math | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Frank is faster than David.\n- Alice is faster than Frank.\n- Charlie is faster than Alice.\nWho is the slowest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Charlie > Alice > Frank > David.\nStep ... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "An investment bank gives 10 percent interest at the end of every month. How much money in total will you have, including interest, at the end of 2 months if you invest $300?"
},
{
"role": "assistant",
"content": "<think>\nAfter the first month you get 10/100 * $300 ... | gsm8k | english | curated |
[
{
"role": "user",
"content": "Can you create a program in Go that can classify songs into different genres such as jazz, blues, or hip-hop? For instance, can you use the \"Money\" song by Pink Floyd as an example and classify it into one of these genres?\nHere's a sample Go code that you can use to classify... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "What is the degree measure of the angle that is supplementary to the complement of a 42-degree angle?"
},
{
"role": "assistant",
"content": "<think>\nThe complement of a 42-degree angle is $90 - 42 = 48$ degrees.\nThe supplement of a 48-degree angle is $180 - 48 = \... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "An acute isosceles triangle, $ABC$, is inscribed in a circle. Through $B$ and $C$, tangents to the circle are drawn, meeting at point $D$. If $\\angle ABC = \\angle ACB = 3 \\angle D$ and $\\angle BAC = k \\pi$ in radians, then find $k$."
},
{
"role": "assistant",
"... | numina_math_cot | english | curated |
[
{
"role": "user",
"content": "How can we enhance the production process of probiotics using biotechnology methods to ensure a higher yield and potency for improved human health benefits?"
},
{
"role": "assistant",
"content": "To enhance the production process of probiotics using biotechnology me... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "At a certain rate percent per annum, a sum of money will increase by a certain factor in 5 years. The rate is 20%. What is the factor by which the sum of money increases?"
},
{
"role": "assistant",
"content": "<think>\nTo find the factor by which a sum of money incr... | orca_math | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Alice is older than Charlie.\n- Henry is older than Emma.\n- Charlie is older than Henry.\nWho is the oldest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Alice > Charlie > Henry > Emma.\nStep 2: F... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Based on this review, would the user recommend this product? === Review: Everyone else can applaud this Hunter Thompson if they want. I read this book with no preconceived notion regarding its author, and I can state with no hesitancy that it reads as little more than a star-st... | slimorca | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Emma is older than Bob.\n- Frank is older than David.\n- Bob is older than Frank.\nWho is the third oldest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Emma > Bob > Frank > David.\nStep 2: Full or... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "The perimeter of an isosceles triangle is $468 \\mathrm{~cm}$. The height corresponding to the leg is in the ratio of $10:13$ to the height corresponding to the base. What are the lengths of the sides of the triangle?"
},
{
"role": "assistant",
"content": "<think>\n... | numina_math_cot | english | curated |
[
{
"role": "user",
"content": "Print out the last three lines of the poem \"If\"."
},
{
"role": "assistant",
"content": "If you can fill the unforgiving minute\n With sixty seconds worth of distance run,\nYours is the Earth and everything that’s in it,\n And—which is more—you’ll be a Man, m... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "A band's members each earn $20 per gig. If there are 4 members and they've earned $400, how many gigs have they played?"
},
{
"role": "assistant",
"content": "<think>\nIf the band has earned $400 in total and each member earns $20 per gig, we can first calculate the... | orca_math | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Charlie is faster than Alice.\n- Alice is faster than Grace.\n- David is faster than Charlie.\nWho is the third fastest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: David > Charlie > Alice > Grace... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Given the following facts:\n- Emma is taller than Grace.\n- Grace is taller than Frank.\n- Frank is taller than Henry.\nWho is the second tallest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Emma > Grace > Frank > Henry.\nStep... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "What is the measure, in degrees, of the acute angle formed by the hour hand and the minute hand of a 12-hour clock at 6:48?"
},
{
"role": "assistant",
"content": "<think>\nIn a 12-hour clock, the hour hand moves 360 degrees in 12 hours, or 30 degrees per hour.\nAt 6... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "By selling an article at a certain price, a shopkeeper makes a profit of 25%. To make a loss of 50%, the shopkeeper should sell the article at Rs. 320. What was the original selling price of the article?"
},
{
"role": "assistant",
"content": "<think>\nLet's denote t... | orca_math | english | curated |
[
{
"role": "user",
"content": "for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 24 ) ?"
},
{
"role": "assistant",
"content": "<think>\nTo fi... | orca_math | english | curated |
[
{
"role": "user",
"content": "What does the hexa number E78 equal in radix 7?"
},
{
"role": "assistant",
"content": "<think>\nTo convert the hexadecimal number E78 to radix 7, we first need to convert it to decimal and then to radix 7.\nThe hexadecimal number E78 is equal to:\nE * 16^2 + 7 * 16^... | orca_math | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Charlie is scored higher than Alice.\n- Henry is scored higher than Charlie.\n- David is scored higher than Henry.\nWho is the highest scorer?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: David > H... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Given the following facts:\n- Emma is taller than Alice.\n- Grace is taller than Emma.\n- Charlie is taller than Grace.\nWho is the tallest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Charlie > Grace > Emma > Alice.\nStep 2: ... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "If Eustace is currently twice as old as Milford, and in 3 years Eustace will be 39, how old will Milford be in 3 years?"
},
{
"role": "assistant",
"content": "<think>\nIf in 3 years Eustace will be 39, that means he is currently 39 - 3 = 36 years old.\nIf Eustace is... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Grace is older than Charlie.\n- David is older than Bob.\n- Bob is older than Grace.\nWho is the oldest?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: David > Bob > Grace > Charlie.\nStep 2: Full or... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "If\n\\[\\mathbf{A} = \\begin{pmatrix} 1 & 3 \\\\ 2 & 1 \\end{pmatrix},\\]then compute $\\det (\\mathbf{A}^2 - X \\mathbf{A}). The answer is 25. What is the value of unknown variable X?"
},
{
"role": "assistant",
"content": "<think>\nTo solve this problem, we need to... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "Describe the origins of the Great Wall of China."
},
{
"role": "assistant",
"content": "The Great Wall of China’s origins can be traced to the 7th century BCE when the Warring States period in ancient China began. After unifying the kingdoms, Emperor Qin Shi Huang, ... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "The median of the set $\\{n, n + 5, n + 6, n + 9, n + 15\\}$ is 9. What is the mean?"
},
{
"role": "assistant",
"content": "<think>\nThe median of a set is the middle value when the values are arranged in increasing order.\nIn this case, we have $n, n + 5, n + 6, n ... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Alice is scored higher than Bob.\n- Frank is scored higher than David.\n- David is scored higher than Alice.\nWho is the highest scorer?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Frank > David >... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "Here's a complex question that requires someone to reason about the input, can you answer it? Where are the studios of the station that broadcasts \"The Dave Bussey Show\"?\nA:"
},
{
"role": "assistant",
"content": "The Dave Bussey Show, a British radio show, was br... | slimorca | english | curated |
[
{
"role": "user",
"content": "Out of the 20,000 high school students who apply to Harvard University in the fall, 5% are accepted in the spring. Of those accepted, 90% choose to attend Harvard University while the remaining 10% choose other schools. How many students choose to attend Harvard University?"
... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "Given the following facts:\n- Bob is scored higher than Frank.\n- Frank is scored higher than Charlie.\n- Grace is scored higher than Bob.\nWho is the lowest scorer?"
},
{
"role": "assistant",
"content": "<think>\nStep 1: Parse the relational chain: Grace > Bob > Fr... | nexreason_synth | english | synthetic |
[
{
"role": "user",
"content": "As Gollum from Lord of the Rings, describe your obsession with the ring."
},
{
"role": "assistant",
"content": "My precious, my sweet, my lovely. The One Ring, it is mine, all mine! It whispers to me in the dark, calls to me from the depths of shadow and despair. It... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "What is the effect of different types of chemical bonds (ionic, covalent, and metallic) on the physical and chemical properties of compounds? Provide specific examples of compounds to support your answer."
},
{
"role": "assistant",
"content": "Different types of che... | openhermes_25 | english | curated |
[
{
"role": "user",
"content": "A convenience store sells x gallons of soda a week. They buy syrup boxes that can make 30 gallons of soda, and each box costs $40. How much do they pay for syrup a week?\nIf we know the answer to the above question is 240, what is the value of unknown variable x?"
},
{
... | metamath_qa | english | curated |
[
{
"role": "user",
"content": "A metal rod of 3 cm diameter and 20 cm length is placed in a solution of hydrochloric acid with a pH of 2 at 25°C. The metal has a critical pitting temperature of 40°C and a standard electrode potential of -0.44V. Assuming that the rod is polarized to a potential of -0.50V, wha... | openhermes_25 | english | curated |
End of preview. Expand in Data Studio
SoreQen Reasoning
Maths and deductive reasoning with step-by-step traces, plus an English general-reasoning slice.
Curated and published by ZorQelis AI.
| Train rows | 540,175 |
| Validation rows | 11,023 |
| Format | chat messages (JSONL) |
Format
{"messages": [{"role": "user", "content": "..."},
{"role": "assistant", "content": "..."}],
"source": "orca_math", "lang": "english", "provenance": "curated"}
provenance is one of deepseek (model-generated for this project),
curated (filtered from a public dataset), or synthetic (template-generated).
Some rows carry a leading system message where the original brief was part of
the task.
Composition
By language
| Language | Rows | Share |
|---|---|---|
| English | 551,198 | 100.0% |
By domain
| Domain | Rows | Share |
|---|---|---|
| Maths | 451,983 | 82.0% |
| General reasoning | 99,215 | 18.0% |
By source
| Source | Rows | What it is | Upstream | Licence |
|---|---|---|---|---|
nexreason_synth |
144,892 | Template-generated maths | NexReason-ACT (this project) | Apache-2.0 |
orca_math |
98,136 | Maths word problems | microsoft/orca-math-word-problems-200k | MIT |
metamath_qa |
87,044 | Maths word problems | meta-math/MetaMathQA | MIT |
openhermes_25 |
76,075 | English instruction chat | teknium/OpenHermes-2.5 | see upstream |
openr1_math |
72,773 | Maths with reasoning traces | open-r1/OpenR1-Math-220k | Apache-2.0 |
numina_math_cot |
44,309 | Maths chain-of-thought | AI-MO/NuminaMath-CoT | Apache-2.0 |
slimorca |
14,493 | English reasoning chat | Open-Orca/SlimOrca | MIT |
proofwriter |
8,647 | Deductive logic | allenai/proofwriter | CC-BY-4.0 |
gsm8k |
4,829 | Grade-school maths | openai/gsm8k | MIT |
Reasoning traces are wrapped in <think> … </think> and
followed by a plain answer, matching what the model actually emits at
inference rather than a private tag format.
The template-generated portion is capped at one row per distinct problem
template. Its upstream generator emitted 6,400,000 rows, but masking digits
reveals only 144,896 distinct problems — 2.3% diversity, a 44-fold inflation.
Shipping all of them would multiply the corpus without adding a single new
problem. Those rows are labelled provenance: synthetic so you can exclude
them wholesale.
How it was filtered
Every row passed the same gate before admission:
- Structure — must end on an assistant turn; conversations that begin with an assistant message or lack a reply are dropped.
- Truncation — answers cut off mid-clause are rejected. Answers ending in a digit are not: a reasoning trace that ends "= 216" is finished, and an earlier version of this rule discarded 200,922 of 446,800 maths traces by requiring a full stop.
- Repetition — rows where more than 35% of 5-grams repeat are dropped.
- Echo — answers that mostly restate the question are dropped.
- Preambles — a leading "Sure!" or "Of course —" is stripped rather than rejected, so the fact after it survives.
- Language — rows must actually be in the language they are labelled.
The upstream English sets are multilingual, and unlabelled Spanish and French
rows would otherwise land here tagged
english. - Deduplication — exact, on the normalised (first question, final answer) pair; plus a digits-masked near-duplicate cap so numeric variants of one template cannot flood a split.
- Brand hygiene — rows naming a third-party assistant are dropped, not rewritten. Substituting a name inside "ChatGPT was released in 2022" would manufacture a false statement, which is worse than losing the row.
Rejection counts per reason are in stats.json.
Licence and attribution — read this
This is a derivative work of several upstream datasets with different licences, listed in the composition table above. The composite is released under the terms of its most restrictive constituent, and attribution requirements pass through to you. If you redistribute or train on this, credit the upstream sources, not just this repository.
On the model-generated portion: rows marked provenance: deepseek were
produced by prompting DeepSeek V4 Flash through its paid API. Anyone using them
should satisfy themselves that their intended use complies with that provider's
terms; ZorQelis AI makes no representation on your behalf.
Known limitations
- The Hinglish is Roman-script only and skews toward north-Indian usage. Speakers of other regional varieties are under-represented.
- Multi-turn conversations are a small minority; most rows are a single exchange.
- Template-generated rows are correct but narrow. They are labelled
provenance: syntheticso they can be excluded. - No human review pass. Every filter here is automated, so some rows will be dull, and a small number will be wrong.
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