answer string | choices dict | id string | kind string | lang string | question string | steps list | subject string | text string | topic string |
|---|---|---|---|---|---|---|---|---|---|
The term ends in 2021. | {
"A": "2020",
"B": "2022",
"C": "2021",
"D": "2023"
} | law_0251 | multiple_choice | en | A parliament elected in 2016 serves 5 years. When does the term end? | [
"Elected 2016.",
"Add 5: 2021.",
"Select option C."
] | law | Answer: 2021
Steps:
1. Elected 2016.
2. Add 5: 2021.
3. Select option C.
Answer: (C) | eu_basics |
Apologies can admit fault in court, so lawyers word them to express regret without conceding liability. | null | law_0252 | concept | en | Why apologize carefully? | [
"Apologies can admit fault in court, so lawyers word them to express regret without conceding liability.",
"So the answer stands: Apologies can admit fault in court, so lawyers word them to express regret without conceding liability."
] | law | Answer: Apologies can admit fault in court, so lawyers word them to express regret without conceding liability.
Steps:
1. Apologies can admit fault in court, so lawyers word them to express regret without conceding liability.
2. So the answer stands: Apologies can admit fault in court, so lawyers word them to express r... | tort |
Adoption creates a full parent-child bond by court order, giving the child the same rights as a biological child. | null | law_0253 | concept | en | What is adoption? | [
"Adoption creates a full parent-child bond by court order, giving the child the same rights as a biological child.",
"So the answer stands: Adoption creates a full parent-child bond by court order, giving the child the same rights as a biological child."
] | law | Answer: Adoption creates a full parent-child bond by court order, giving the child the same rights as a biological child.
Steps:
1. Adoption creates a full parent-child bond by court order, giving the child the same rights as a biological child.
2. So the answer stands: Adoption creates a full parent-child bond by cour... | civil |
Parole after 15 months. | null | law_0254 | worked_example | en | A sentence of 30 months allows parole after half. Find the parole month. | [
"Total 30.",
"Halve it.",
"30 / 2 = 15."
] | law | Answer: Parole after 15 months.
Steps:
1. Total 30.
2. Halve it.
3. 30 / 2 = 15. | criminal |
Deadline: day 11. | null | law_0255 | worked_example | en | Delivery is due 10 days after day 1. Find the deadline day. | [
"Start day 1.",
"Add 10.",
"1 + 10 = 11."
] | law | Answer: Deadline: day 11.
Steps:
1. Start day 1.
2. Add 10.
3. 1 + 10 = 11. | contracts |
Dělení moci brání tyranii, protože se zákonodárná, výkonná a soudní moc hlídají. | null | law_0256 | concept | cs | Proč dělit moc? | [
"Dělení moci brání tyranii, protože se zákonodárná, výkonná a soudní moc hlídají.",
"Odpověď tedy platí: Dělení moci brání tyranii, protože se zákonodárná, výkonná a soudní moc hlídají."
] | law | Answer: Dělení moci brání tyranii, protože se zákonodárná, výkonná a soudní moc hlídají.
Steps:
1. Dělení moci brání tyranii, protože se zákonodárná, výkonná a soudní moc hlídají.
2. Odpověď tedy platí: Dělení moci brání tyranii, protože se zákonodárná, výkonná a soudní moc hlídají. | constitutional |
Je třeba 5 dalších států. | {
"A": "4",
"B": "5",
"C": "6",
"D": "7"
} | law_0257 | multiple_choice | cs | Návrh potřebuje 15 států a má 10. Kolik dalších je třeba? | [
"Třeba 15, má 10.",
"Chybí: 5.",
"Vyber možnost B."
] | law | Answer: 5
Steps:
1. Třeba 15, má 10.
2. Chybí: 5.
3. Vyber možnost B.
Answer: (B) | eu_basics |
Zavinění spojuje škůdce se škodou, platit musí jen ten, kdo škodu způsobil. | null | law_0258 | concept | cs | Proč prokazovat zavinění? | [
"Zavinění spojuje škůdce se škodou, platit musí jen ten, kdo škodu způsobil.",
"Odpověď tedy platí: Zavinění spojuje škůdce se škodou, platit musí jen ten, kdo škodu způsobil."
] | law | Answer: Zavinění spojuje škůdce se škodou, platit musí jen ten, kdo škodu způsobil.
Steps:
1. Zavinění spojuje škůdce se škodou, platit musí jen ten, kdo škodu způsobil.
2. Odpověď tedy platí: Zavinění spojuje škůdce se škodou, platit musí jen ten, kdo škodu způsobil. | tort |
Notarized documents carry stronger proof in court, because a notary verifies identity, consent, and understanding. | null | law_0259 | concept | en | Why notarize documents? | [
"Notarized documents carry stronger proof in court, because a notary verifies identity, consent, and understanding.",
"So the answer stands: Notarized documents carry stronger proof in court, because a notary verifies identity, consent, and understanding."
] | law | Answer: Notarized documents carry stronger proof in court, because a notary verifies identity, consent, and understanding.
Steps:
1. Notarized documents carry stronger proof in court, because a notary verifies identity, consent, and understanding.
2. So the answer stands: Notarized documents carry stronger proof in cou... | civil |
One part: 1600. | null | law_0260 | worked_example | en | A fine of 8000 is paid in 5 equal parts. Find one part. | [
"Total 8000.",
"Divide by 5.",
"8000 / 5 = 1600."
] | law | Answer: One part: 1600.
Steps:
1. Total 8000.
2. Divide by 5.
3. 8000 / 5 = 1600. | criminal |
Notice periods let both sides prepare for contract end, preventing sudden loss of home or income. | null | law_0261 | concept | en | Why give notice periods? | [
"Notice periods let both sides prepare for contract end, preventing sudden loss of home or income.",
"So the answer stands: Notice periods let both sides prepare for contract end, preventing sudden loss of home or income."
] | law | Answer: Notice periods let both sides prepare for contract end, preventing sudden loss of home or income.
Steps:
1. Notice periods let both sides prepare for contract end, preventing sudden loss of home or income.
2. So the answer stands: Notice periods let both sides prepare for contract end, preventing sudden loss of... | contracts |
Term ends: 2028. | null | law_0262 | worked_example | en | A senator elected in 2022 serves 6 years. Find the term end year. | [
"Elected 2022.",
"Add 6.",
"2022 + 6 = 2028."
] | law | Answer: Term ends: 2028.
Steps:
1. Elected 2022.
2. Add 6.
3. 2022 + 6 = 2028. | constitutional |
3 more states are needed. | {
"A": "2",
"B": "4",
"C": "5",
"D": "3"
} | law_0263 | multiple_choice | en | A proposal needs 15 states on board and has 12. How many more are needed? | [
"Need 15, have 12.",
"Missing: 3.",
"Select option D."
] | law | Answer: 3
Steps:
1. Need 15, have 12.
2. Missing: 3.
3. Select option D.
Answer: (D) | eu_basics |
Promlčí se roku 2021. | {
"A": "2020",
"B": "2022",
"C": "2021",
"D": "2023"
} | law_0264 | multiple_choice | cs | Škoda vznikla roku 2018 s tříletou lhůtou. Kdy se nárok promlčí? | [
"Začátek 2018.",
"Přičti 3: 2021.",
"Vyber možnost C."
] | law | Answer: 2021
Steps:
1. Začátek 2018.
2. Přičti 3: 2021.
3. Vyber možnost C.
Answer: (C) | tort |
One share is 225000. | {
"A": "220000",
"B": "230000",
"C": "235000",
"D": "225000"
} | law_0265 | multiple_choice | en | An estate of 900000 is split equally among 4 heirs. What is one share? | [
"Total 900000.",
"Divide by 4: 225000.",
"Select option D."
] | law | Answer: 225000
Steps:
1. Total 900000.
2. Divide by 4: 225000.
3. Select option D.
Answer: (D) | civil |
Responsible from 2025. | null | law_0266 | worked_example | en | A child was born in 2010. Find the first year of criminal responsibility (age 15). | [
"Born 2010.",
"Add 15.",
"2010 + 15 = 2025."
] | law | Answer: Responsible from 2025.
Steps:
1. Born 2010.
2. Add 15.
3. 2010 + 15 = 2025. | criminal |
A loan contract obliges repayment of money with agreed interest, and lenders must disclose the true cost. | null | law_0267 | concept | en | What is a loan contract? | [
"A loan contract obliges repayment of money with agreed interest, and lenders must disclose the true cost.",
"So the answer stands: A loan contract obliges repayment of money with agreed interest, and lenders must disclose the true cost."
] | law | Answer: A loan contract obliges repayment of money with agreed interest, and lenders must disclose the true cost.
Steps:
1. A loan contract obliges repayment of money with agreed interest, and lenders must disclose the true cost.
2. So the answer stands: A loan contract obliges repayment of money with agreed interest, ... | contracts |
Lidská práva jsou základní svobody jako projev a spravedlivý proces, jež stát ctí. | null | law_0268 | concept | cs | Co jsou lidská práva? | [
"Lidská práva jsou základní svobody jako projev a spravedlivý proces, jež stát ctí.",
"Odpověď tedy platí: Lidská práva jsou základní svobody jako projev a spravedlivý proces, jež stát ctí."
] | law | Answer: Lidská práva jsou základní svobody jako projev a spravedlivý proces, jež stát ctí.
Steps:
1. Lidská práva jsou základní svobody jako projev a spravedlivý proces, jež stát ctí.
2. Odpověď tedy platí: Lidská práva jsou základní svobody jako projev a spravedlivý proces, jež stát ctí. | constitutional |
GDPR gives people control over personal data, forcing companies to ask consent and protect privacy. | null | law_0269 | concept | en | What is GDPR? | [
"GDPR gives people control over personal data, forcing companies to ask consent and protect privacy.",
"So the answer stands: GDPR gives people control over personal data, forcing companies to ask consent and protect privacy."
] | law | Answer: GDPR gives people control over personal data, forcing companies to ask consent and protect privacy.
Steps:
1. GDPR gives people control over personal data, forcing companies to ask consent and protect privacy.
2. So the answer stands: GDPR gives people control over personal data, forcing companies to ask consen... | eu_basics |
Celková náhrada: 57000. | null | law_0270 | worked_example | cs | Léčba stojí 27000 a ušlá mzda 30000. Zjisti celkovou náhradu. | [
"Léčba 27000.",
"Mzda 30000.",
"27000 + 30000 = 57000."
] | law | Answer: Celková náhrada: 57000.
Steps:
1. Léčba 27000.
2. Mzda 30000.
3. 27000 + 30000 = 57000. | tort |
Celkem: 12000. | null | law_0271 | worked_example | cs | Ve sporu se žádá 10000 plus náklady 2000. Zjisti celkovou částku. | [
"Nárok 10000.",
"Přičti náklady 2000.",
"10000 + 2000 = 12000."
] | law | Answer: Celkem: 12000.
Steps:
1. Nárok 10000.
2. Přičti náklady 2000.
3. 10000 + 2000 = 12000. | civil |
Parole after 18 months. | null | law_0272 | worked_example | en | A sentence of 36 months allows parole after half. Find the parole month. | [
"Total 36.",
"Halve it.",
"36 / 2 = 18."
] | law | Answer: Parole after 18 months.
Steps:
1. Total 36.
2. Halve it.
3. 36 / 2 = 18. | criminal |
The total is 700. | {
"A": "600",
"B": "800",
"C": "900",
"D": "700"
} | law_0273 | multiple_choice | en | A penalty of 100 per day runs for 7 days. What is the total? | [
"100 × 7.",
"Total: 700.",
"Select option D."
] | law | Answer: 700
Steps:
1. 100 × 7.
2. Total: 700.
3. Select option D.
Answer: (D) | contracts |
Další volby: 2017. | null | law_0274 | worked_example | cs | Sněmovna zvolená roku 2013 slouží 4 roky. Zjisti rok dalších voleb. | [
"Zvolena 2013.",
"Přičti 4.",
"2013 + 4 = 2017."
] | law | Answer: Další volby: 2017.
Steps:
1. Zvolena 2013.
2. Přičti 4.
3. 2013 + 4 = 2017. | constitutional |
EU funds build roads and schools in poorer regions, narrowing gaps between member states. | null | law_0275 | concept | en | Why fund regions? | [
"EU funds build roads and schools in poorer regions, narrowing gaps between member states.",
"So the answer stands: EU funds build roads and schools in poorer regions, narrowing gaps between member states."
] | law | Answer: EU funds build roads and schools in poorer regions, narrowing gaps between member states.
Steps:
1. EU funds build roads and schools in poorer regions, narrowing gaps between member states.
2. So the answer stands: EU funds build roads and schools in poorer regions, narrowing gaps between member states. | eu_basics |
Total damages are 60000. | {
"A": "55000",
"B": "65000",
"C": "60000",
"D": "70000"
} | law_0276 | multiple_choice | en | Medical costs are 30000 and lost wages 30000. What are total damages? | [
"30000 + 30000.",
"Total: 60000.",
"Select option C."
] | law | Answer: 60000
Steps:
1. 30000 + 30000.
2. Total: 60000.
3. Select option C.
Answer: (C) | tort |
Zletilosti dosáhne roku 2018. | {
"A": "2017",
"B": "2019",
"C": "2018",
"D": "2020"
} | law_0277 | multiple_choice | cs | Dítě se narodilo roku 2000. Ve kterém roce dosáhne 18 let? | [
"Narozeno 2000.",
"Přičti 18: 2018.",
"Vyber možnost C."
] | law | Answer: 2018
Steps:
1. Narozeno 2000.
2. Přičti 18: 2018.
3. Vyber možnost C.
Answer: (C) | civil |
After 12 months. | {
"A": "10",
"B": "14",
"C": "16",
"D": "12"
} | law_0278 | multiple_choice | en | A sentence of 24 months allows parole after half. After how many months? | [
"Total 24.",
"Half: 12.",
"Select option D."
] | law | Answer: 12
Steps:
1. Total 24.
2. Half: 12.
3. Select option D.
Answer: (D) | criminal |
Total with tax: 42350. | null | law_0279 | worked_example | en | A price of 35000 carries 21% VAT. Find the total with tax. | [
"Base 35000.",
"Multiply by 1.21.",
"35000 × 1.21 = 42350."
] | law | Answer: Total with tax: 42350.
Steps:
1. Base 35000.
2. Multiply by 1.21.
3. 35000 × 1.21 = 42350. | contracts |
It is 4 votes short. | {
"A": "3",
"B": "5",
"C": "6",
"D": "4"
} | law_0280 | multiple_choice | en | A motion needs 101 of 200 votes and gets 97. How many votes short? | [
"Need 101, got 97.",
"Short: 4.",
"Select option D."
] | law | Answer: 4
Steps:
1. Need 101, got 97.
2. Short: 4.
3. Select option D.
Answer: (D) | constitutional |
Obsadí se 54 míst. | {
"A": "27",
"B": "81",
"C": "54",
"D": "108"
} | law_0281 | multiple_choice | cs | Každý z 27 států vysílá 1 ministra na 2 zasedání. Kolik míst se obsadí? | [
"27 × 2.",
"Celkem: 54.",
"Vyber možnost C."
] | law | Answer: 54
Steps:
1. 27 × 2.
2. Celkem: 54.
3. Vyber možnost C.
Answer: (C) | eu_basics |
Náhrada vrací poškozeného do původního stavu, kryje účty, opravy a ušlý příjem. | null | law_0282 | concept | cs | Co je náhrada škody? | [
"Náhrada vrací poškozeného do původního stavu, kryje účty, opravy a ušlý příjem.",
"Odpověď tedy platí: Náhrada vrací poškozeného do původního stavu, kryje účty, opravy a ušlý příjem."
] | law | Answer: Náhrada vrací poškozeného do původního stavu, kryje účty, opravy a ušlý příjem.
Steps:
1. Náhrada vrací poškozeného do původního stavu, kryje účty, opravy a ušlý příjem.
2. Odpověď tedy platí: Náhrada vrací poškozeného do původního stavu, kryje účty, opravy a ušlý příjem. | tort |
One share: 500000. | null | law_0283 | worked_example | en | An estate of 1500000 is split equally among 3 heirs. Find one share. | [
"Total 1500000.",
"Divide by 3.",
"1500000 / 3 = 500000."
] | law | Answer: One share: 500000.
Steps:
1. Total 1500000.
2. Divide by 3.
3. 1500000 / 3 = 500000. | civil |
Krádež je přisvojení cizí věci a trest roste s hodnotou a opakováním. | null | law_0284 | concept | cs | Co je krádež? | [
"Krádež je přisvojení cizí věci a trest roste s hodnotou a opakováním.",
"Odpověď tedy platí: Krádež je přisvojení cizí věci a trest roste s hodnotou a opakováním."
] | law | Answer: Krádež je přisvojení cizí věci a trest roste s hodnotou a opakováním.
Steps:
1. Krádež je přisvojení cizí věci a trest roste s hodnotou a opakováním.
2. Odpověď tedy platí: Krádež je přisvojení cizí věci a trest roste s hodnotou a opakováním. | criminal |
Interest caps stop predatory lending, so desperate borrowers cannot be trapped by extreme rates. | null | law_0285 | concept | en | Why cap interest? | [
"Interest caps stop predatory lending, so desperate borrowers cannot be trapped by extreme rates.",
"So the answer stands: Interest caps stop predatory lending, so desperate borrowers cannot be trapped by extreme rates."
] | law | Answer: Interest caps stop predatory lending, so desperate borrowers cannot be trapped by extreme rates.
Steps:
1. Interest caps stop predatory lending, so desperate borrowers cannot be trapped by extreme rates.
2. So the answer stands: Interest caps stop predatory lending, so desperate borrowers cannot be trapped by e... | contracts |
Období končí roku 2005. | {
"A": "2004",
"B": "2006",
"C": "2005",
"D": "2007"
} | law_0286 | multiple_choice | cs | Prezident inaugurovaný roku 2000 slouží 5 let. Kdy období končí? | [
"Začátek 2000.",
"Přičti 5: 2005.",
"Vyber možnost C."
] | law | Answer: 2005
Steps:
1. Začátek 2000.
2. Přičti 5: 2005.
3. Vyber možnost C.
Answer: (C) | constitutional |
Missing: 2 states. | null | law_0287 | worked_example | en | A proposal needs 15 states on board and has 13. Find the missing states. | [
"Need 15, have 13.",
"15 − 13 = 2."
] | law | Answer: Missing: 2 states.
Steps:
1. Need 15, have 13.
2. 15 − 13 = 2. | eu_basics |
One part is 5000. | {
"A": "4750",
"B": "5250",
"C": "5500",
"D": "5000"
} | law_0288 | multiple_choice | en | An award of 60000 is paid in 12 monthly parts. How large is one part? | [
"60000 / 12.",
"Part: 5000.",
"Select option D."
] | law | Answer: 5000
Steps:
1. 60000 / 12.
2. Part: 5000.
3. Select option D.
Answer: (D) | tort |
A power of attorney lets one person act legally for another, and it ends if revoked, expired, or the principal dies. | null | law_0289 | concept | en | What is a power of attorney? | [
"A power of attorney lets one person act legally for another, and it ends if revoked, expired, or the principal dies.",
"So the answer stands: A power of attorney lets one person act legally for another, and it ends if revoked, expired, or the principal dies."
] | law | Answer: A power of attorney lets one person act legally for another, and it ends if revoked, expired, or the principal dies.
Steps:
1. A power of attorney lets one person act legally for another, and it ends if revoked, expired, or the principal dies.
2. So the answer stands: A power of attorney lets one person act leg... | civil |
Corruption trades public power for private gain, so it is punished to protect fair decisions and trust. | null | law_0290 | concept | en | Why punish corruption? | [
"Corruption trades public power for private gain, so it is punished to protect fair decisions and trust.",
"So the answer stands: Corruption trades public power for private gain, so it is punished to protect fair decisions and trust."
] | law | Answer: Corruption trades public power for private gain, so it is punished to protect fair decisions and trust.
Steps:
1. Corruption trades public power for private gain, so it is punished to protect fair decisions and trust.
2. So the answer stands: Corruption trades public power for private gain, so it is punished to... | criminal |
Total penalty: 1000. | null | law_0291 | worked_example | en | A penalty of 100 per day runs for 10 days. Find the total penalty. | [
"100 per day.",
"10 days.",
"100 × 10 = 1000."
] | law | Answer: Total penalty: 1000.
Steps:
1. 100 per day.
2. 10 days.
3. 100 × 10 = 1000. | contracts |
Next election: 2023. | null | law_0292 | worked_example | en | A chamber elected in 2019 serves 4 years. Find the next election year. | [
"Elected 2019.",
"Add 4.",
"2019 + 4 = 2023."
] | law | Answer: Next election: 2023.
Steps:
1. Elected 2019.
2. Add 4.
3. 2019 + 4 = 2023. | constitutional |
The Council gathers national ministers to adopt EU laws together with the Parliament. | null | law_0293 | concept | en | What is the Council? | [
"The Council gathers national ministers to adopt EU laws together with the Parliament.",
"So the answer stands: The Council gathers national ministers to adopt EU laws together with the Parliament."
] | law | Answer: The Council gathers national ministers to adopt EU laws together with the Parliament.
Steps:
1. The Council gathers national ministers to adopt EU laws together with the Parliament.
2. So the answer stands: The Council gathers national ministers to adopt EU laws together with the Parliament. | eu_basics |
Makers pay for harm from defective products, pushing them to test safety before selling. | null | law_0294 | concept | en | What is product liability? | [
"Makers pay for harm from defective products, pushing them to test safety before selling.",
"So the answer stands: Makers pay for harm from defective products, pushing them to test safety before selling."
] | law | Answer: Makers pay for harm from defective products, pushing them to test safety before selling.
Steps:
1. Makers pay for harm from defective products, pushing them to test safety before selling.
2. So the answer stands: Makers pay for harm from defective products, pushing them to test safety before selling. | tort |
Appeals let higher courts fix legal errors, so similar cases get consistent and fair treatment. | null | law_0295 | concept | en | Why do courts use appeals? | [
"Appeals let higher courts fix legal errors, so similar cases get consistent and fair treatment.",
"So the answer stands: Appeals let higher courts fix legal errors, so similar cases get consistent and fair treatment."
] | law | Answer: Appeals let higher courts fix legal errors, so similar cases get consistent and fair treatment.
Steps:
1. Appeals let higher courts fix legal errors, so similar cases get consistent and fair treatment.
2. So the answer stands: Appeals let higher courts fix legal errors, so similar cases get consistent and fair ... | civil |
Promlčí se roku 2020. | {
"A": "2019",
"B": "2021",
"C": "2020",
"D": "2022"
} | law_0296 | multiple_choice | cs | Čin z roku 2015 má pětiletou promlčecí lhůtu. Kdy se promlčí? | [
"Začátek 2015.",
"Přičti 5: 2020.",
"Vyber možnost C."
] | law | Answer: 2020
Steps:
1. Začátek 2015.
2. Přičti 5: 2020.
3. Vyber možnost C.
Answer: (C) | criminal |
Pokuta je ujednaná částka za porušení, ale soud ji může snížit při hrubém nepoměru. | null | law_0297 | concept | cs | Proč platit smluvní pokutu? | [
"Pokuta je ujednaná částka za porušení, ale soud ji může snížit při hrubém nepoměru.",
"Odpověď tedy platí: Pokuta je ujednaná částka za porušení, ale soud ji může snížit při hrubém nepoměru."
] | law | Answer: Pokuta je ujednaná částka za porušení, ale soud ji může snížit při hrubém nepoměru.
Steps:
1. Pokuta je ujednaná částka za porušení, ale soud ji může snížit při hrubém nepoměru.
2. Odpověď tedy platí: Pokuta je ujednaná částka za porušení, ale soud ji může snížit při hrubém nepoměru. | contracts |
Missing: 3 votes. | null | law_0298 | worked_example | en | A motion needs 101 of 200 votes and gets 98. Find the missing votes. | [
"Need 101, got 98.",
"101 − 98 = 3."
] | law | Answer: Missing: 3 votes.
Steps:
1. Need 101, got 98.
2. 101 − 98 = 3. | constitutional |
Tax and foreign policy need all states to agree, protecting sovereignty on sensitive issues. | null | law_0299 | concept | en | Why need unanimity sometimes? | [
"Tax and foreign policy need all states to agree, protecting sovereignty on sensitive issues.",
"So the answer stands: Tax and foreign policy need all states to agree, protecting sovereignty on sensitive issues."
] | law | Answer: Tax and foreign policy need all states to agree, protecting sovereignty on sensitive issues.
Steps:
1. Tax and foreign policy need all states to agree, protecting sovereignty on sensitive issues.
2. So the answer stands: Tax and foreign policy need all states to agree, protecting sovereignty on sensitive issues... | eu_basics |
Settlements pay victims faster than trials and spare both sides cost, stress, and uncertainty. | null | law_0300 | concept | en | Why settle injury claims? | [
"Settlements pay victims faster than trials and spare both sides cost, stress, and uncertainty.",
"So the answer stands: Settlements pay victims faster than trials and spare both sides cost, stress, and uncertainty."
] | law | Answer: Settlements pay victims faster than trials and spare both sides cost, stress, and uncertainty.
Steps:
1. Settlements pay victims faster than trials and spare both sides cost, stress, and uncertainty.
2. So the answer stands: Settlements pay victims faster than trials and spare both sides cost, stress, and uncer... | tort |
A direct proof assumes the premises and derives the conclusion step by step, so each line follows logically from earlier ones. | null | mat_0001 | concept | en | What is a direct proof? | [
"A direct proof assumes the premises and derives the conclusion step by step, so each line follows logically from earlier ones.",
"So the answer stands: A direct proof assumes the premises and derives the conclusion step by step, so each line follows logically from earlier ones."
] | math | Answer: A direct proof assumes the premises and derives the conclusion step by step, so each line follows logically from earlier ones.
Steps:
1. A direct proof assumes the premises and derives the conclusion step by step, so each line follows logically from earlier ones.
2. So the answer stands: A direct proof assumes ... | proofs |
f'(2) = 9. | null | mat_0002 | worked_example | en | For f(x) = 2x² + 1x, compute f'(2) step by step. | [
"f'(x) = 4x + 1.",
"Plug x = 2.",
"4×2 + 1 = 9."
] | math | Answer: f'(2) = 9.
Steps:
1. f'(x) = 4x + 1.
2. Plug x = 2.
3. 4×2 + 1 = 9. | calculus |
Determinant: 4. | null | mat_0003 | worked_example | cs | Spočítej det [[2,1],[2,3]] krok za krokem. | [
"ad − bc.",
"2×3 − 1×2.",
"= 4."
] | math | Answer: Determinant: 4.
Steps:
1. ad − bc.
2. 2×3 − 1×2.
3. = 4. | linear_algebra |
Probability measures chance from 0 to 1, with axioms guaranteeing consistent reasoning about uncertainty. | null | mat_0004 | concept | en | What is probability? | [
"Probability measures chance from 0 to 1, with axioms guaranteeing consistent reasoning about uncertainty.",
"So the answer stands: Probability measures chance from 0 to 1, with axioms guaranteeing consistent reasoning about uncertainty."
] | math | Answer: Probability measures chance from 0 to 1, with axioms guaranteeing consistent reasoning about uncertainty.
Steps:
1. Probability measures chance from 0 to 1, with axioms guaranteeing consistent reasoning about uncertainty.
2. So the answer stands: Probability measures chance from 0 to 1, with axioms guaranteeing... | probability |
a divides b if some integer k gives b = ak, the root relation of number theory. | null | mat_0005 | concept | en | What is divisibility? | [
"a divides b if some integer k gives b = ak, the root relation of number theory.",
"So the answer stands: a divides b if some integer k gives b = ak, the root relation of number theory."
] | math | Answer: a divides b if some integer k gives b = ak, the root relation of number theory.
Steps:
1. a divides b if some integer k gives b = ak, the root relation of number theory.
2. So the answer stands: a divides b if some integer k gives b = ak, the root relation of number theory. | number_theory |
C(4,2) is 6. | {
"A": "6",
"B": "2",
"C": "10",
"D": "14"
} | mat_0006 | multiple_choice | en | Compute C(4,2). | [
"4×3/2.",
"= 6.",
"Select option A."
] | math | Answer: 6
Steps:
1. 4×3/2.
2. = 6.
3. Select option A.
Answer: (A) | combinatorics |
Sum: 21. | null | mat_0007 | worked_example | en | Prove by formula: find the sum 1 + 2 + ... + 6. | [
"Pair 1+6, 2+5, ...",
"Use 6×7/2.",
"= 21."
] | math | Answer: Sum: 21.
Steps:
1. Pair 1+6, 2+5, ...
2. Use 6×7/2.
3. = 21. | proofs |
Integral: 27. | null | mat_0008 | worked_example | en | Evaluate the integral of 3x² from 0 to 3. | [
"Antiderivative: x³.",
"Evaluate 0 to 3.",
"3³ − 0 = 27."
] | math | Answer: Integral: 27.
Steps:
1. Antiderivative: x³.
2. Evaluate 0 to 3.
3. 3³ − 0 = 27. | calculus |
Determinant: 4. | null | mat_0009 | worked_example | en | Compute det [[2,1],[2,3]] step by step. | [
"ad − bc.",
"2×3 − 1×2.",
"= 4."
] | math | Answer: Determinant: 4.
Steps:
1. ad − bc.
2. 2×3 − 1×2.
3. = 4. | linear_algebra |
P = 1/6. | null | mat_0010 | worked_example | en | A fair 6-sided die is rolled. Show P(one specific number). | [
"Favourable: 1.",
"Possible: 6.",
"P = 1/6."
] | math | Answer: P = 1/6.
Steps:
1. Favourable: 1.
2. Possible: 6.
3. P = 1/6. | probability |
Primes are the atoms of multiplication, since every integer factors uniquely into primes. | null | mat_0011 | concept | en | Why study primes? | [
"Primes are the atoms of multiplication, since every integer factors uniquely into primes.",
"So the answer stands: Primes are the atoms of multiplication, since every integer factors uniquely into primes."
] | math | Answer: Primes are the atoms of multiplication, since every integer factors uniquely into primes.
Steps:
1. Primes are the atoms of multiplication, since every integer factors uniquely into primes.
2. So the answer stands: Primes are the atoms of multiplication, since every integer factors uniquely into primes. | number_theory |
C(5,2) = 10. | null | mat_0012 | worked_example | en | Show the computation of C(5,2). | [
"Formula n(n−1)/2.",
"5×4/2.",
"= 10."
] | math | Answer: C(5,2) = 10.
Steps:
1. Formula n(n−1)/2.
2. 5×4/2.
3. = 10. | combinatorics |
Half: 3, so 6 is even. | null | mat_0013 | worked_example | en | Show N² + N is even for N = 2 by computing its half. | [
"2² + 2 = 6.",
"6 / 2 = 3.",
"Integer, so even."
] | math | Answer: Half: 3, so 6 is even.
Steps:
1. 2² + 2 = 6.
2. 6 / 2 = 3.
3. Integer, so even. | proofs |
Limit: 6. | null | mat_0014 | worked_example | en | Evaluate the limit of (x² − 3²)/(x − 3) as x → 3. | [
"Factor: (x−3)(x+3).",
"Cancel (x−3).",
"Plug 3: 3+3 = 6."
] | math | Answer: Limit: 6.
Steps:
1. Factor: (x−3)(x+3).
2. Cancel (x−3).
3. Plug 3: 3+3 = 6. | calculus |
Trace: 7. | null | mat_0015 | worked_example | en | Compute the trace of [[3,0],[0,4]]. | [
"Sum diagonal.",
"3 + 4.",
"= 7."
] | math | Answer: Trace: 7.
Steps:
1. Sum diagonal.
2. 3 + 4.
3. = 7. | linear_algebra |
E = 3. | null | mat_0016 | worked_example | en | Compute E of a uniform draw from {1..5}. | [
"Mean of 1..5.",
"(5+1)/2.",
"E = 3."
] | math | Answer: E = 3.
Steps:
1. Mean of 1..5.
2. (5+1)/2.
3. E = 3. | probability |
NSD je 6. | {
"A": "6",
"B": "3",
"C": "9",
"D": "12"
} | mat_0017 | multiple_choice | cs | Najdi největšího společného dělitele NSD(12, 18). | [
"Vytkni 3 dvakrát.",
"NSD = 6.",
"Vyber možnost A."
] | math | Answer: 6
Steps:
1. Vytkni 3 dvakrát.
2. NSD = 6.
3. Vyber možnost A.
Answer: (A) | number_theory |
P(4,3) = 24. | null | mat_0018 | worked_example | en | Show the computation of P(4,3). | [
"n(n−1)(n−2).",
"4×3×2.",
"= 24."
] | math | Answer: P(4,3) = 24.
Steps:
1. n(n−1)(n−2).
2. 4×3×2.
3. = 24. | combinatorics |
Rows: 8. | null | mat_0019 | worked_example | en | A proof checks all cases of 3 boolean variables. How many rows? | [
"2 choices each.",
"2^3 = 8."
] | math | Answer: Rows: 8.
Steps:
1. 2 choices each.
2. 2^3 = 8. | proofs |
A limit is the value a function approaches as inputs near a point, even if the function is undefined there. | null | mat_0020 | concept | en | What is a limit? | [
"A limit is the value a function approaches as inputs near a point, even if the function is undefined there.",
"So the answer stands: A limit is the value a function approaches as inputs near a point, even if the function is undefined there."
] | math | Answer: A limit is the value a function approaches as inputs near a point, even if the function is undefined there.
Steps:
1. A limit is the value a function approaches as inputs near a point, even if the function is undefined there.
2. So the answer stands: A limit is the value a function approaches as inputs near a p... | calculus |
The determinant is -2. | {
"A": "-2",
"B": "-5",
"C": "1",
"D": "4"
} | mat_0021 | multiple_choice | en | Find the determinant of [[1,2],[3,4]]. | [
"1×4 − 2×3.",
"Det = -2.",
"Select option A."
] | math | Answer: -2
Steps:
1. 1×4 − 2×3.
2. Det = -2.
3. Select option A.
Answer: (A) | linear_algebra |
Sample spaces list all outcomes, so probabilities attach to a complete well-defined set. | null | mat_0022 | concept | en | Why use sample spaces? | [
"Sample spaces list all outcomes, so probabilities attach to a complete well-defined set.",
"So the answer stands: Sample spaces list all outcomes, so probabilities attach to a complete well-defined set."
] | math | Answer: Sample spaces list all outcomes, so probabilities attach to a complete well-defined set.
Steps:
1. Sample spaces list all outcomes, so probabilities attach to a complete well-defined set.
2. So the answer stands: Sample spaces list all outcomes, so probabilities attach to a complete well-defined set. | probability |
The gcd is 6. | {
"A": "6",
"B": "3",
"C": "9",
"D": "12"
} | mat_0023 | multiple_choice | en | Find gcd(12, 18). | [
"Factor 3 out twice.",
"gcd = 6.",
"Select option A."
] | math | Answer: 6
Steps:
1. Factor 3 out twice.
2. gcd = 6.
3. Select option A.
Answer: (A) | number_theory |
Combinatorics counts arrangements and selections, turning listing questions into formulas. | null | mat_0024 | concept | en | What is combinatorics? | [
"Combinatorics counts arrangements and selections, turning listing questions into formulas.",
"So the answer stands: Combinatorics counts arrangements and selections, turning listing questions into formulas."
] | math | Answer: Combinatorics counts arrangements and selections, turning listing questions into formulas.
Steps:
1. Combinatorics counts arrangements and selections, turning listing questions into formulas.
2. So the answer stands: Combinatorics counts arrangements and selections, turning listing questions into formulas. | combinatorics |
Sum: 28. | null | mat_0025 | worked_example | en | Prove by formula: find the sum 1 + 2 + ... + 7. | [
"Pair 1+7, 2+6, ...",
"Use 7×8/2.",
"= 28."
] | math | Answer: Sum: 28.
Steps:
1. Pair 1+7, 2+6, ...
2. Use 7×8/2.
3. = 28. | proofs |
Derivace je 4. | {
"A": "4",
"B": "2",
"C": "6",
"D": "8"
} | mat_0026 | multiple_choice | cs | Pro f(x) = 1x² + 2x vypočítej f'(1). | [
"f'(x) = 2x + 2.",
"V 1: 4.",
"Vyber možnost A."
] | math | Answer: 4
Steps:
1. f'(x) = 2x + 2.
2. V 1: 4.
3. Vyber možnost A.
Answer: (A) | calculus |
The trace is 7. | {
"A": "5",
"B": "7",
"C": "9",
"D": "11"
} | mat_0027 | multiple_choice | en | Find the trace of [[2,1],[2,5]]. | [
"2 + 5.",
"Trace = 7.",
"Select option B."
] | math | Answer: 7
Steps:
1. 2 + 5.
2. Trace = 7.
3. Select option B.
Answer: (B) | linear_algebra |
It updates chance given new evidence via P(A|B), the core of learning from data. | null | mat_0028 | concept | en | What is conditional probability? | [
"It updates chance given new evidence via P(A|B), the core of learning from data.",
"So the answer stands: It updates chance given new evidence via P(A|B), the core of learning from data."
] | math | Answer: It updates chance given new evidence via P(A|B), the core of learning from data.
Steps:
1. It updates chance given new evidence via P(A|B), the core of learning from data.
2. So the answer stands: It updates chance given new evidence via P(A|B), the core of learning from data. | probability |
NSD = 4. | null | mat_0029 | worked_example | cs | Spočítej NSD(8, 12) krok za krokem. | [
"Rozlož: 8=4×2, 12=6×2.",
"Společné: 2×NSD(4,6).",
"= 2×2 = 4."
] | math | Answer: NSD = 4.
Steps:
1. Rozlož: 8=4×2, 12=6×2.
2. Společné: 2×NSD(4,6).
3. = 2×2 = 4. | number_theory |
Factorials count orderings of distinct objects, since each slot has one fewer choice. | null | mat_0030 | concept | en | Why factorials? | [
"Factorials count orderings of distinct objects, since each slot has one fewer choice.",
"So the answer stands: Factorials count orderings of distinct objects, since each slot has one fewer choice."
] | math | Answer: Factorials count orderings of distinct objects, since each slot has one fewer choice.
Steps:
1. Factorials count orderings of distinct objects, since each slot has one fewer choice.
2. So the answer stands: Factorials count orderings of distinct objects, since each slot has one fewer choice. | combinatorics |
Contradiction assumes the claim is false and derives nonsense, so the original claim must be true. | null | mat_0031 | concept | en | Why use proof by contradiction? | [
"Contradiction assumes the claim is false and derives nonsense, so the original claim must be true.",
"So the answer stands: Contradiction assumes the claim is false and derives nonsense, so the original claim must be true."
] | math | Answer: Contradiction assumes the claim is false and derives nonsense, so the original claim must be true.
Steps:
1. Contradiction assumes the claim is false and derives nonsense, so the original claim must be true.
2. So the answer stands: Contradiction assumes the claim is false and derives nonsense, so the original ... | proofs |
Continuous functions have no jumps, so small input changes give small output changes everywhere. | null | mat_0032 | concept | en | Why study continuity? | [
"Continuous functions have no jumps, so small input changes give small output changes everywhere.",
"So the answer stands: Continuous functions have no jumps, so small input changes give small output changes everywhere."
] | math | Answer: Continuous functions have no jumps, so small input changes give small output changes everywhere.
Steps:
1. Continuous functions have no jumps, so small input changes give small output changes everywhere.
2. So the answer stands: Continuous functions have no jumps, so small input changes give small output change... | calculus |
A vector is a quantity with direction and size, added component-wise and scaled by numbers. | null | mat_0033 | concept | en | What is a vector? | [
"A vector is a quantity with direction and size, added component-wise and scaled by numbers.",
"So the answer stands: A vector is a quantity with direction and size, added component-wise and scaled by numbers."
] | math | Answer: A vector is a quantity with direction and size, added component-wise and scaled by numbers.
Steps:
1. A vector is a quantity with direction and size, added component-wise and scaled by numbers.
2. So the answer stands: A vector is a quantity with direction and size, added component-wise and scaled by numbers. | linear_algebra |
The probability is 1/6. | {
"A": "1/6",
"B": "1/5",
"C": "1/7",
"D": "2/6"
} | mat_0034 | multiple_choice | en | A fair 6-sided die is rolled. What is the probability of one specific number? | [
"1 face of 6.",
"P = 1/6.",
"Select option A."
] | math | Answer: 1/6
Steps:
1. 1 face of 6.
2. P = 1/6.
3. Select option A.
Answer: (A) | probability |
Every integer above 1 factors uniquely into primes, grounding all of arithmetic. | null | mat_0035 | concept | en | What is the fundamental theorem of arithmetic? | [
"Every integer above 1 factors uniquely into primes, grounding all of arithmetic.",
"So the answer stands: Every integer above 1 factors uniquely into primes, grounding all of arithmetic."
] | math | Answer: Every integer above 1 factors uniquely into primes, grounding all of arithmetic.
Steps:
1. Every integer above 1 factors uniquely into primes, grounding all of arithmetic.
2. So the answer stands: Every integer above 1 factors uniquely into primes, grounding all of arithmetic. | number_theory |
C(6,3) = 20. | null | mat_0036 | worked_example | en | Show the computation of C(6,3). | [
"n(n−1)(n−2)/6.",
"6×5×4/6.",
"= 20."
] | math | Answer: C(6,3) = 20.
Steps:
1. n(n−1)(n−2)/6.
2. 6×5×4/6.
3. = 20. | combinatorics |
The table has 4 rows. | {
"A": "4",
"B": "2",
"C": "6",
"D": "8"
} | mat_0037 | multiple_choice | en | How many rows does a truth table with 2 variables have? | [
"2^2 rows.",
"Total: 4.",
"Select option A."
] | math | Answer: 4
Steps:
1. 2^2 rows.
2. Total: 4.
3. Select option A.
Answer: (A) | proofs |
f'(3) = 20. | null | mat_0038 | worked_example | en | For f(x) = 3x² + 2x, compute f'(3) step by step. | [
"f'(x) = 6x + 2.",
"Plug x = 3.",
"6×3 + 2 = 20."
] | math | Answer: f'(3) = 20.
Steps:
1. f'(x) = 6x + 2.
2. Plug x = 3.
3. 6×3 + 2 = 20. | calculus |
Matrices encode linear maps and systems compactly, turning algebra into row operations. | null | mat_0039 | concept | en | Why use matrices? | [
"Matrices encode linear maps and systems compactly, turning algebra into row operations.",
"So the answer stands: Matrices encode linear maps and systems compactly, turning algebra into row operations."
] | math | Answer: Matrices encode linear maps and systems compactly, turning algebra into row operations.
Steps:
1. Matrices encode linear maps and systems compactly, turning algebra into row operations.
2. So the answer stands: Matrices encode linear maps and systems compactly, turning algebra into row operations. | linear_algebra |
P(red) = 3/7. | null | mat_0040 | worked_example | en | A bag holds 3 red and 4 blue marbles. Show P(red). | [
"Red: 3.",
"Total: 7.",
"P = 3/7."
] | math | Answer: P(red) = 3/7.
Steps:
1. Red: 3.
2. Total: 7.
3. P = 3/7. | probability |
The remainder is 1. | {
"A": "2",
"B": "1",
"C": "3",
"D": "4"
} | mat_0041 | multiple_choice | en | Find (100) mod 9. | [
"100 ÷ 9.",
"Remainder 1.",
"Select option B."
] | math | Answer: 1
Steps:
1. 100 ÷ 9.
2. Remainder 1.
3. Select option B.
Answer: (B) | number_theory |
C(6,2) = 15. | null | mat_0042 | worked_example | en | Show the computation of C(6,2). | [
"Formula n(n−1)/2.",
"6×5/2.",
"= 15."
] | math | Answer: C(6,2) = 15.
Steps:
1. Formula n(n−1)/2.
2. 6×5/2.
3. = 15. | combinatorics |
The sum is 15. | {
"A": "10",
"B": "15",
"C": "20",
"D": "25"
} | mat_0043 | multiple_choice | en | What is the sum 1 + 2 + ... + 5? | [
"5×6/2.",
"Sum = 15.",
"Select option B."
] | math | Answer: 15
Steps:
1. 5×6/2.
2. Sum = 15.
3. Select option B.
Answer: (B) | proofs |
Integral: 64. | null | mat_0044 | worked_example | en | Evaluate the integral of 3x² from 0 to 4. | [
"Antiderivative: x³.",
"Evaluate 0 to 4.",
"4³ − 0 = 64."
] | math | Answer: Integral: 64.
Steps:
1. Antiderivative: x³.
2. Evaluate 0 to 4.
3. 4³ − 0 = 64. | calculus |
Stopa: 7. | null | mat_0045 | worked_example | cs | Spočítej stopu matice [[3,0],[0,4]]. | [
"Sečti diagonálu.",
"3 + 4.",
"= 7."
] | math | Answer: Stopa: 7.
Steps:
1. Sečti diagonálu.
2. 3 + 4.
3. = 7. | linear_algebra |
Bayes flips conditionals to infer causes from effects, powering diagnosis and spam filters. | null | mat_0046 | concept | en | Why Bayes' theorem? | [
"Bayes flips conditionals to infer causes from effects, powering diagnosis and spam filters.",
"So the answer stands: Bayes flips conditionals to infer causes from effects, powering diagnosis and spam filters."
] | math | Answer: Bayes flips conditionals to infer causes from effects, powering diagnosis and spam filters.
Steps:
1. Bayes flips conditionals to infer causes from effects, powering diagnosis and spam filters.
2. So the answer stands: Bayes flips conditionals to infer causes from effects, powering diagnosis and spam filters. | probability |
a dělí b, pokud existuje k s b = ak. | null | mat_0047 | concept | cs | Co je dělitelnost? | [
"a dělí b, pokud existuje k s b = ak.",
"Odpověď tedy platí: a dělí b, pokud existuje k s b = ak."
] | math | Answer: a dělí b, pokud existuje k s b = ak.
Steps:
1. a dělí b, pokud existuje k s b = ak.
2. Odpověď tedy platí: a dělí b, pokud existuje k s b = ak. | number_theory |
P(3,2) is 6. | {
"A": "3",
"B": "6",
"C": "9",
"D": "12"
} | mat_0048 | multiple_choice | en | Compute P(3,2). | [
"3×2.",
"= 6.",
"Select option B."
] | math | Answer: 6
Steps:
1. 3×2.
2. = 6.
3. Select option B.
Answer: (B) | combinatorics |
Přímý důkaz předpokládá předpoklady a odvozuje závěr krok za krokem. | null | mat_0049 | concept | cs | Co je přímý důkaz? | [
"Přímý důkaz předpokládá předpoklady a odvozuje závěr krok za krokem.",
"Odpověď tedy platí: Přímý důkaz předpokládá předpoklady a odvozuje závěr krok za krokem."
] | math | Answer: Přímý důkaz předpokládá předpoklady a odvozuje závěr krok za krokem.
Steps:
1. Přímý důkaz předpokládá předpoklady a odvozuje závěr krok za krokem.
2. Odpověď tedy platí: Přímý důkaz předpokládá předpoklady a odvozuje závěr krok za krokem. | proofs |
f'(2) = 9. | null | mat_0050 | worked_example | cs | Pro f(x) = 2x² + 1x spočítej f'(2) krok za krokem. | [
"f'(x) = 4x + 1.",
"Dosaď x = 2.",
"4×2 + 1 = 9."
] | math | Answer: f'(2) = 9.
Steps:
1. f'(x) = 4x + 1.
2. Dosaď x = 2.
3. 4×2 + 1 = 9. | calculus |
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