Gnosis Training Data
Collection
The datasets used for training Gnosis Self-awareness mechanism on top of qwen3 and gpt-oss LLMs • 5 items • Updated
Datasets:
Size:
10K - 100K
question string | original_source null | completion string | finish_reason string | num_output_tokens int64 | two_step_applied bool | prompt string | correctness_label int8 | pred_parsed bool | ground_truth string | task string |
|---|---|---|---|---|---|---|---|---|---|---|
Find the sum of the real roots of $x^4 - 4x - 1 = 0.$The answer is in the form k\sqrt{m}+n,. Please provide the value of k + m + n. | null | This is a complex or challenging question, and it is difficult to provide a direct and correct answer. I need to think about it.
Well, so I need to find the sum of the real roots of the quartic equation x⁴ - 4x - 1 = 0, and then express that sum in the form k√m + n and find k + m + n. Hmm, quartic equations can be tric... | length | 6,957 | true | Find the sum of the real roots of $x^4 - 4x - 1 = 0.$The answer is in the form k\sqrt{m}+n,. Please provide the value of k + m + n. | 1 | true | 3 | math |
Find the sum of the real roots of $x^4 - 4x - 1 = 0.$The answer is in the form k\sqrt{m}+n,. Please provide the value of k + m + n. | null | This is a complex or challenging question, and it is difficult to provide a direct and correct answer. I need to think about it.
Well, so I need to find the sum of the real roots of the quartic equation x⁴ - 4x - 1 = 0. Hmm, quartic equations can be tricky, but maybe I don't need to find all the roots explicitly? Wait,... | length | 7,497 | true | Find the sum of the real roots of $x^4 - 4x - 1 = 0.$The answer is in the form k\sqrt{m}+n,. Please provide the value of k + m + n. | 1 | true | 3 | math |
Find the sum of the real roots of $x^4 - 4x - 1 = 0.$The answer is in the form k\sqrt{m}+n,. Please provide the value of k + m + n. | null | This is a complex or challenging question, and it is difficult to provide a direct and correct answer. I need to think about it.
Well, so I need to find the sum of the real roots of the quartic equation x⁴ - 4x - 1 = 0. Wait, hold on, the problem says "the sum of the real roots," but quartic equations can have up to fo... | length | 6,909 | true | Find the sum of the real roots of $x^4 - 4x - 1 = 0.$The answer is in the form k\sqrt{m}+n,. Please provide the value of k + m + n. | 1 | true | 3 | math |
In which English county is Shepherd Neame brewery? | null | Okay, the user is asking about the English county where Shepherd Neame brewery is located. This seems like a straightforward trivia question, but I should be careful because brewery locations can sometimes be tricky with historical changes or multiple sites.
First, I recall that Shepherd Neame is a well-known brewery ... | stop | 592 | false | In which English county is Shepherd Neame brewery? | 0 | true | {"aliases": "['Garden of england' 'Sport in Kent' 'Kent County, England' 'Kent'\n 'County Kent' 'Culture in Kent' 'Winkhurst Green' 'Wilsley Green'\n 'Kent, England' 'Education in Kent' 'Garden of England' 'Kent (county)'\n 'County of Kent' 'Cantium' 'Kent (England)' 'Rhoden Green'\n 'County of Kent, England']", "match... | trivia |
Which author was born in Higher Brockhampton, near Dorchester, in 1840? | null | Okay, the user is asking about an author born in Higher Brockhampton near Dorchester in 1840. Let me start by recalling some famous authors from that era. Higher Brockhampton is a village in Dorset, England. I remember that Charles Dickens is a prominent Victorian author, but he was born in 1812, so that's too early.
... | stop | 483 | false | Which author was born in Higher Brockhampton, near Dorchester, in 1840? | 1 | true | {"aliases": "['Thomas Hardy (poet)' 'The Withered Arm' 'Thomas Hardy'\n 'Thomas Hardy (novelist)' 'Thomas Hardy (writer)' 'Hardyesque' 'T Hardy'\n 'Hardy, Thomas' '(Thomas) Hardy' 'Hardyan']", "matched_wiki_entity_name": "", "normalized_aliases": "['thomas hardy novelist' 'thomas hardy' 'thomas hardy writer' 'hardyesqu... | trivia |
Who was the performing partner of Donald Swann? | null | Okay, the user is asking about Donald Swann's performing partner. Hmm, this seems like a very specific trivia question. Let me think... Donald Swann? I'm not immediately recognizing that name from mainstream entertainment history.
First, I should consider if this is about a famous person. Donald Swann... wait, that n... | stop | 828 | false | Who was the performing partner of Donald Swann? | 0 | true | {"aliases": "['Michael Flanders']", "matched_wiki_entity_name": "", "normalized_aliases": "['michael flanders']", "normalized_matched_wiki_entity_name": "", "normalized_value": "michael flanders", "type": "WikipediaEntity", "value": "Michael Flanders"} | trivia |
The King in the King and I is ruler of where? | null | Okay, the user is asking about the King in "The King and I" and where he rules. Hmm, I remember this is a famous musical theater show. Let me think carefully.
First, I should confirm which "King and I" they mean. There's a classic 1950s musical called "The King and I" based on a novel. The title is a bit tricky becaus... | stop | 649 | false | The King in the King and I is ruler of where? | 1 | true | {"aliases": "['Muang Thai' 'Taihland' 'ISO 3166-1:TH' 'Thai Empire' 'Prathet Thai'\n 'Muang-Thai' 'Kingdom of Thailand' 'Skateboarding in Thailand' 'THAILAND'\n 'Siam' 'Sport in Thailand' 'Etymology of Thailand' 'Thayland'\n 'Name of Thailand' 'The Kingdom Of Thailand' 'เมืองไทย' 'Thailand'\n 'ราชอาณาจักรไทย' 'Sayam' '... | trivia |
Find the value of the product \[ \frac{8}{4} \cdot \frac{12}{8} \cdot \frac{16}{12} \cdots \frac{4n + 4}{4n} \cdots \frac{2008}{2004}. \] | null | This is a complex or challenging question, and it is difficult to provide a direct and correct answer. I need to think about it.
Well, so I need to find the value of this product: starting with 8/4, then 12/8, 16/12, and so on, up to 2008/2004. Hmm, let's write this out more formally to see the pattern. First, let's fi... | length | 6,639 | true | Find the value of the product \[ \frac{8}{4} \cdot \frac{12}{8} \cdot \frac{16}{12} \cdots \frac{4n + 4}{4n} \cdots \frac{2008}{2004}. \] | 1 | true | 502 | math |
Find the value of the product \[ \frac{8}{4} \cdot \frac{12}{8} \cdot \frac{16}{12} \cdots \frac{4n + 4}{4n} \cdots \frac{2008}{2004}. \] | null | This is a complex or challenging question, and it is difficult to provide a direct and correct answer. I need to think about it.
Well, so I need to find the value of this product: starting with 8/4, then 12/8, 16/12, and so on, up to 2008/2004. Hmm, let's write out the first few terms to see if I can spot a pattern or ... | length | 6,442 | true | Find the value of the product \[ \frac{8}{4} \cdot \frac{12}{8} \cdot \frac{16}{12} \cdots \frac{4n + 4}{4n} \cdots \frac{2008}{2004}. \] | 1 | true | 502 | math |
Find the value of the product \[ \frac{8}{4} \cdot \frac{12}{8} \cdot \frac{16}{12} \cdots \frac{4n + 4}{4n} \cdots \frac{2008}{2004}. \] | null | This is a complex or challenging question, and it is difficult to provide a direct and correct answer. I need to think about it.
Well, so I need to find the product of this sequence: starting with 8/4, then 12/8, 16/12, and so on, up to 2008/2004. Hmm, let's first try to write this product in a more formal way to see i... | length | 6,539 | true | Find the value of the product \[ \frac{8}{4} \cdot \frac{12}{8} \cdot \frac{16}{12} \cdots \frac{4n + 4}{4n} \cdots \frac{2008}{2004}. \] | 1 | true | 502 | math |
What is the medieval from of chemistry concerned with attempting to change base metals into gold? | null | We are looking for the medieval term for the practice of trying to turn base metals (like lead or copper) into gold.
This practice is known as "alchemy". In the medieval period, alchemy was a proto-scientific tradition that aimed to transform base metals into gold and to discover the elixir of life.
Therefore, the a... | stop | 150 | false | What is the medieval from of chemistry concerned with attempting to change base metals into gold? | 1 | true | {"aliases": "['Alchemi' 'Alchemistry' 'Renaissance alchemy' 'Alchemical'\n 'Genesis of alchemy' 'Alchemy' 'History of Alchemy'\n 'Decline of Western alchemy' 'Alchemy magic' 'AlchemY'\n 'Alchemy in history' 'Alchemists' 'Alchemic' 'Alchemist'\n 'Operative Alchemy' 'History of alchemy']", "matched_wiki_entity_name": "",... | trivia |
Which Hungarian bon inventor, who diedin 2003, had the nickname 'The Father of the Hydrogen Bomb'? | null | Okay, so I need to figure out which Hungarian inventor died in 2003 and had the nickname "The Father of the Hydrogen Bomb." Hmm, let's start by breaking this down.
First, the key points here are: Hungarian, died in 2003, and the nickname "The Father of the Hydrogen Bomb." I should recall some notable Hungarian scienti... | length | 3,575 | true | Which Hungarian bon inventor, who diedin 2003, had the nickname 'The Father of the Hydrogen Bomb'? | 1 | true | {"aliases": "['Ede Teller' 'Dr. Edward Teller' 'Edward TELLER' 'Edward Teller'\n 'Teller Ede' 'Teller Ege' 'Ege Teller' 'Teller, Edward']", "matched_wiki_entity_name": "", "normalized_aliases": "['ede teller' 'dr edward teller' 'edward teller' 'ege teller'\n 'teller edward' 'teller ede' 'teller ege']", "normalized_matc... | trivia |
The main characters of which play by Henrik Ibsen are Dr. Thomas Stockmann, his wife and three children, and Peter Stockmann, the Mayor, who is his elder brother? | null | Okay, so I need to figure out which play by Henrik Ibsen has the main characters Dr. Thomas Stockmann, his wife and three children, and Peter Stockmann, the Mayor, who is his elder brother. Let me think.
First, I remember that Henrik Ibsen is a famous Norwegian playwright, known for his realistic dramas. He wrote a lo... | stop | 1,319 | false | The main characters of which play by Henrik Ibsen are Dr. Thomas Stockmann, his wife and three children, and Peter Stockmann, the Mayor, who is his elder brother? | 1 | true | {"aliases": "['Doctor Thomas Stockmann' 'Dr. Thomas Stockmann' 'An Enemy Of The People'\n 'En folkefiende' 'An Enemy of the People (2014 film)' 'En Folkefiende'\n 'Dr Thomas Stockmann' 'An enemy of the people' 'An Enemy of the People'\n 'Morten Kiil' 'A Public Enemy']", "matched_wiki_entity_name": "", "normalized_alias... | trivia |
The main characters of which play by Henrik Ibsen are Dr. Thomas Stockmann, his wife and three children, and Peter Stockmann, the Mayor, who is his elder brother? | null | Okay, so I need to figure out which play by Henrik Ibsen has the main characters Dr. Thomas Stockmann, his wife and three children, and Peter Stockmann, the Mayor, who is his elder brother. Let me think.
First, I remember that Henrik Ibsen is a famous Norwegian playwright, and he wrote several well-known plays. Some o... | stop | 2,440 | false | The main characters of which play by Henrik Ibsen are Dr. Thomas Stockmann, his wife and three children, and Peter Stockmann, the Mayor, who is his elder brother? | 0 | true | {"aliases": "['Doctor Thomas Stockmann' 'Dr. Thomas Stockmann' 'An Enemy Of The People'\n 'En folkefiende' 'An Enemy of the People (2014 film)' 'En Folkefiende'\n 'Dr Thomas Stockmann' 'An enemy of the people' 'An Enemy of the People'\n 'Morten Kiil' 'A Public Enemy']", "matched_wiki_entity_name": "", "normalized_alias... | trivia |
Vince Furnier is better known as which rock star? | null | Okay, the user is asking about Vince Furnier and which rock star he's better known as. Let me think about this. I recall that Vince Furnier is actually a stage name.
Hmm, I remember that Vince Furnier was the real name of a famous musician. Wait, wasn't he part of a band called The Who? No, that doesn't sound right. ... | stop | 1,866 | false | Vince Furnier is better known as which rock star? | 0 | true | {"aliases": "['Humanary Stew: A tribute to Alice Cooper' 'Vince Furnier' 'ALICE COOPER'\n 'Vincent D. Furnier' 'Humanary Stew: A Tribute to Alice Cooper'\n 'The beast of alice cooper' 'Vincent Furnier'\n 'Mascarra & Monsters : The Best Of Alice Cooper'\n 'The Beast of Alice Cooper' 'Norma Byrne' 'Alice Cooper' 'Alice C... | trivia |
"What is the contraction of the German ""Nationalsozialistische Deutsche Arbeiterpartei"" in common use in English?" | null | Okay, the user is asking about the contraction of the German phrase "Nationalsozialistische Deutsche Arbeiterpartei" in common English usage.
Hmm, this seems like a straightforward historical trivia question. The user probably needs this for academic purposes or general knowledge. They specifically mentioned wanting ... | stop | 509 | false | "What is the contraction of the German ""Nationalsozialistische Deutsche Arbeiterpartei"" in common use in English?" | 0 | true | {"aliases": "['Nazi people' 'Nazi Origin' 'Hitlerite' 'Nazi policies'\n 'NationalSocialism' 'Paleo-Nazism' 'NAZISM' 'Nazists' 'Nazis' \"Nazi's\"\n 'Natzi' 'Racial Socialism' 'German Nazism' 'National Socialist Ideology'\n 'Economic Nazism' 'Natzy' 'Nazisem' 'National Socialists'\n 'German National Socialism' 'German fa... | trivia |
Which substance, found in many fruits, makes jam and jellies set? | null | We are looking for the substance that makes jam and jellies set. This substance is pectin.
Pectin is a natural polysaccharide found in the cell walls of fruits. When you make jam or jelly, you heat the fruit with sugar and acid, which causes the pectin to gel and set the mixture.
Therefore, the answer is pectin.
L... | stop | 148 | false | Which substance, found in many fruits, makes jam and jellies set? | 1 | true | {"aliases": "['Fruit pectin' 'Pectins' 'Rhamnogalacturonan-II' 'Pectin'\n 'ATC code A07BC01' 'Certo' 'ATCvet code QA07BC01' 'Rhamnogalacturonan II'\n 'Rhamnogalacturonan I' 'Rhamnogalacturonan' 'Sure jell' 'Pectinal'\n 'PECTIN' 'E440' 'Rhamnogalacturonan-I' 'Pectic']", "matched_wiki_entity_name": "", "normalized_aliase... | trivia |
What US government agency monitors investor fraud, insider trading scenarios, and other investment irregularities? | null | We are looking for the U.S. government agency that handles investor fraud, insider trading, and investment irregularities.
The main agency for this is the Securities and Exchange Commission (SEC). The SEC is responsible for enforcing federal securities laws, which include preventing fraud, insider trading, and other m... | stop | 427 | false | What US government agency monitors investor fraud, insider trading scenarios, and other investment irregularities? | 0 | true | {"aliases": "['SEC.gov' 'SEC Commissioners' 'U..S. Securities and Exchange Commission'\n 'Securities & Exchange Commission' 'ABS-15G' 'USA SEC' 'USSEC'\n 'SEC Commissioner' 'United States Securities And Exchange Commission'\n 'U.S. SEC' 'The Securites and Exchange Commission'\n 'US Security and Exchange Commission'\n '... | trivia |
What US government agency monitors investor fraud, insider trading scenarios, and other investment irregularities? | null | Okay, the user is asking about a US government agency that handles investor fraud, insider trading, and investment irregularities. Let me recall the key agencies involved in securities regulation.
Hmm, the SEC comes to mind immediately - Securities and Exchange Commission. They're the primary regulator for securities ... | stop | 479 | false | What US government agency monitors investor fraud, insider trading scenarios, and other investment irregularities? | 1 | true | {"aliases": "['SEC.gov' 'SEC Commissioners' 'U..S. Securities and Exchange Commission'\n 'Securities & Exchange Commission' 'ABS-15G' 'USA SEC' 'USSEC'\n 'SEC Commissioner' 'United States Securities And Exchange Commission'\n 'U.S. SEC' 'The Securites and Exchange Commission'\n 'US Security and Exchange Commission'\n '... | trivia |
'The Town of Titipu' is the alternative name for which Gilbert and Sullivan opera? | null | Okay, the user is asking about a trivia question: "The Town of Titipu" is the alternative name for which Gilbert and Sullivan opera? I need to recall that Gilbert and Sullivan are famous for their comic operas, and they have a specific set of works.
First, I remember that "The Town of Titipu" isn't the full title of ... | stop | 637 | false | 'The Town of Titipu' is the alternative name for which Gilbert and Sullivan opera? | 1 | true | {"aliases": "['Katisha' 'The Mikado' 'The Story of The Mikado' 'The Town of Titipu'\n 'Our Great Mikado, virtuous man' 'Titipu'\n 'If you want to know who we are' 'The Town Of Titipu' 'THE MIKADO'\n 'I Am So Proud' 'The Story of the Mikado'\n 'The Mikado or, The Town of Titipu' 'Lord High Executioner' 'The mikado'\n 'T... | trivia |
End of preview. Expand in Data Studio
Gnosis SFT — Qwen3-4B-Thinking-2507 (TriviaQA + DAPO-Math)
This dataset contains SFT-style samples used to train Gnosis, a lightweight self-awareness head for LLM correctness detection.
It mixes two sources:
- Math:
open-r1/DAPO-Math-17k-Processed(2 model completions per question) - Trivia:
mandarjoshi/trivia_qa(1 completion per question)
Each row includes the generated completion plus fields needed for correctness supervision (e.g., question/prompt, completion, and binary correctness labels).
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