answer string | choices dict | id string | kind string | lang string | question string | steps list | subject string | text string | topic string |
|---|---|---|---|---|---|---|---|---|---|
Iteration approximates huge systems stepwise, beating direct methods on sparse giants. | null | mat_0951 | concept | en | Why iterative methods? | [
"Iteration approximates huge systems stepwise, beating direct methods on sparse giants.",
"So the answer stands: Iteration approximates huge systems stepwise, beating direct methods on sparse giants."
] | math | Answer: Iteration approximates huge systems stepwise, beating direct methods on sparse giants.
Steps:
1. Iteration approximates huge systems stepwise, beating direct methods on sparse giants.
2. So the answer stands: Iteration approximates huge systems stepwise, beating direct methods on sparse giants. | linear_algebra |
Risk combines probability with impact, guiding decisions under uncertainty rationally. | null | mat_0952 | concept | en | What is risk? | [
"Risk combines probability with impact, guiding decisions under uncertainty rationally.",
"So the answer stands: Risk combines probability with impact, guiding decisions under uncertainty rationally."
] | math | Answer: Risk combines probability with impact, guiding decisions under uncertainty rationally.
Steps:
1. Risk combines probability with impact, guiding decisions under uncertainty rationally.
2. So the answer stands: Risk combines probability with impact, guiding decisions under uncertainty rationally. | probability |
Odpověď je diofantická rovnice. | {
"A": "reálné hádání",
"B": "diofantická rovnice",
"C": "komplexní naděje",
"D": "mlhavé přání"
} | mat_0953 | multiple_choice | cs | Vyber: co hledá celočíselná řešení? | [
"Podmínky NSD platí.",
"Tedy: diofantická rovnice.",
"Vyber možnost B."
] | math | Answer: diofantická rovnice
Steps:
1. Podmínky NSD platí.
2. Tedy: diofantická rovnice.
3. Vyber možnost B.
Answer: (B) | number_theory |
Hand ranks need exact counts, and nCr ratios give true poker probabilities. | null | mat_0954 | concept | en | Why poker counting? | [
"Hand ranks need exact counts, and nCr ratios give true poker probabilities.",
"So the answer stands: Hand ranks need exact counts, and nCr ratios give true poker probabilities."
] | math | Answer: Hand ranks need exact counts, and nCr ratios give true poker probabilities.
Steps:
1. Hand ranks need exact counts, and nCr ratios give true poker probabilities.
2. So the answer stands: Hand ranks need exact counts, and nCr ratios give true poker probabilities. | combinatorics |
QED marks a proof's end, signalling the claim now rests on justified steps alone. | null | mat_0955 | concept | en | What is QED? | [
"QED marks a proof's end, signalling the claim now rests on justified steps alone.",
"So the answer stands: QED marks a proof's end, signalling the claim now rests on justified steps alone."
] | math | Answer: QED marks a proof's end, signalling the claim now rests on justified steps alone.
Steps:
1. QED marks a proof's end, signalling the claim now rests on justified steps alone.
2. So the answer stands: QED marks a proof's end, signalling the claim now rests on justified steps alone. | proofs |
f'(4) = 50. | null | mat_0956 | worked_example | en | For f(x) = 4x² + 18x, compute f'(4) step by step. | [
"f'(x) = 8x + 18.",
"Plug x = 4.",
"8×4 + 18 = 50."
] | math | Answer: f'(4) = 50.
Steps:
1. f'(x) = 8x + 18.
2. Plug x = 4.
3. 8×4 + 18 = 50. | calculus |
Determinant: 378. | null | mat_0957 | worked_example | en | Compute det [[19,1],[2,20]] step by step. | [
"ad − bc.",
"19×20 − 1×2.",
"= 378."
] | math | Answer: Determinant: 378.
Steps:
1. ad − bc.
2. 19×20 − 1×2.
3. = 378. | linear_algebra |
P = 1/23. | null | mat_0958 | worked_example | en | A fair 23-sided die is rolled. Show P(one specific number). | [
"Favourable: 1.",
"Possible: 23.",
"P = 1/23."
] | math | Answer: P = 1/23.
Steps:
1. Favourable: 1.
2. Possible: 23.
3. P = 1/23. | probability |
It groups numbers sharing one remainder, turning infinite integers into finite clocks. | null | mat_0959 | concept | en | What is a congruence class? | [
"It groups numbers sharing one remainder, turning infinite integers into finite clocks.",
"So the answer stands: It groups numbers sharing one remainder, turning infinite integers into finite clocks."
] | math | Answer: It groups numbers sharing one remainder, turning infinite integers into finite clocks.
Steps:
1. It groups numbers sharing one remainder, turning infinite integers into finite clocks.
2. So the answer stands: It groups numbers sharing one remainder, turning infinite integers into finite clocks. | number_theory |
P(12,2) is 132. | {
"A": "120",
"B": "144",
"C": "132",
"D": "156"
} | mat_0960 | multiple_choice | en | Compute P(12,2). | [
"12×11.",
"= 132.",
"Select option C."
] | math | Answer: 132
Steps:
1. 12×11.
2. = 132.
3. Select option C.
Answer: (C) | combinatorics |
Hodnota je 20. | {
"A": "18",
"B": "22",
"C": "24",
"D": "20"
} | mat_0961 | multiple_choice | cs | Vypočítej N² + N pro N = 4. | [
"4² + 4.",
"Hodnota = 20.",
"Vyber možnost D."
] | math | Answer: 20
Steps:
1. 4² + 4.
2. Hodnota = 20.
3. Vyber možnost D.
Answer: (D) | proofs |
The derivative is 15. | {
"A": "13",
"B": "15",
"C": "17",
"D": "19"
} | mat_0962 | multiple_choice | en | For f(x) = 1x² + 11x, find f'(2). | [
"f'(x) = 2x + 11.",
"At 2: 15.",
"Select option B."
] | math | Answer: 15
Steps:
1. f'(x) = 2x + 11.
2. At 2: 15.
3. Select option B.
Answer: (B) | calculus |
Odpověď je hodnost. | {
"A": "hodnost",
"B": "velikost",
"C": "barva",
"D": "stáří"
} | mat_0963 | multiple_choice | cs | Vyber: co počítá dimenzi obrazu? | [
"Nezávislé řádky sečteny.",
"Tedy: hodnost.",
"Vyber možnost A."
] | math | Answer: hodnost
Steps:
1. Nezávislé řádky sečteny.
2. Tedy: hodnost.
3. Vyber možnost A.
Answer: (A) | linear_algebra |
Pooling independent risks averages losses predictably, letting premiums cover claims. | null | mat_0964 | concept | en | Why insurance works? | [
"Pooling independent risks averages losses predictably, letting premiums cover claims.",
"So the answer stands: Pooling independent risks averages losses predictably, letting premiums cover claims."
] | math | Answer: Pooling independent risks averages losses predictably, letting premiums cover claims.
Steps:
1. Pooling independent risks averages losses predictably, letting premiums cover claims.
2. So the answer stands: Pooling independent risks averages losses predictably, letting premiums cover claims. | probability |
It secures the internet and charms minds, blending pure beauty with applied power. | null | mat_0965 | concept | en | Why study number theory? | [
"It secures the internet and charms minds, blending pure beauty with applied power.",
"So the answer stands: It secures the internet and charms minds, blending pure beauty with applied power."
] | math | Answer: It secures the internet and charms minds, blending pure beauty with applied power.
Steps:
1. It secures the internet and charms minds, blending pure beauty with applied power.
2. So the answer stands: It secures the internet and charms minds, blending pure beauty with applied power. | number_theory |
It orders binary strings flipping one bit at a time, minimizing switch errors. | null | mat_0966 | concept | en | What is a Gray code? | [
"It orders binary strings flipping one bit at a time, minimizing switch errors.",
"So the answer stands: It orders binary strings flipping one bit at a time, minimizing switch errors."
] | math | Answer: It orders binary strings flipping one bit at a time, minimizing switch errors.
Steps:
1. It orders binary strings flipping one bit at a time, minimizing switch errors.
2. So the answer stands: It orders binary strings flipping one bit at a time, minimizing switch errors. | combinatorics |
Sum: 276. | null | mat_0967 | worked_example | en | Prove by formula: find the sum 1 + 2 + ... + 23. | [
"Pair 1+23, 2+22, ...",
"Use 23×24/2.",
"= 276."
] | math | Answer: Sum: 276.
Steps:
1. Pair 1+23, 2+22, ...
2. Use 23×24/2.
3. = 276. | proofs |
f'(3) = 23. | null | mat_0968 | worked_example | cs | Pro f(x) = 3x² + 5x spočítej f'(3) krok za krokem. | [
"f'(x) = 6x + 5.",
"Dosaď x = 3.",
"6×3 + 5 = 23."
] | math | Answer: f'(3) = 23.
Steps:
1. f'(x) = 6x + 5.
2. Dosaď x = 3.
3. 6×3 + 5 = 23. | calculus |
It mixes vectors with scalar weights, and all mixes form the spanned subspace. | null | mat_0969 | concept | en | What is a linear combination? | [
"It mixes vectors with scalar weights, and all mixes form the spanned subspace.",
"So the answer stands: It mixes vectors with scalar weights, and all mixes form the spanned subspace."
] | math | Answer: It mixes vectors with scalar weights, and all mixes form the spanned subspace.
Steps:
1. It mixes vectors with scalar weights, and all mixes form the spanned subspace.
2. So the answer stands: It mixes vectors with scalar weights, and all mixes form the spanned subspace. | linear_algebra |
P = 1/10. | null | mat_0970 | worked_example | cs | Hází se férovou 10-stěnnou kostkou. Ukaž P(jedno konkrétní číslo). | [
"Příznivé: 1.",
"Možné: 10.",
"P = 1/10."
] | math | Answer: P = 1/10.
Steps:
1. Příznivé: 1.
2. Možné: 10.
3. P = 1/10. | probability |
lcm = 168. | null | mat_0971 | worked_example | en | Compute lcm(21, 8) step by step. | [
"gcd(21,8) = 1.",
"21×8/1.",
"= 168."
] | math | Answer: lcm = 168.
Steps:
1. gcd(21,8) = 1.
2. 21×8/1.
3. = 168. | number_theory |
C(22,2) = 231. | null | mat_0972 | worked_example | en | Show the computation of C(22,2). | [
"Formula n(n−1)/2.",
"22×21/2.",
"= 231."
] | math | Answer: C(22,2) = 231.
Steps:
1. Formula n(n−1)/2.
2. 22×21/2.
3. = 231. | combinatorics |
Odpověď je jeden protipříklad. | {
"A": "jeden protipříklad",
"B": "dva příklady",
"C": "hlasité popření",
"D": "dlouhý důkaz"
} | mat_0973 | multiple_choice | cs | Vyber: co vyvrací obecné tvrzení? | [
"Jediné selhání je zabíjí.",
"Tedy: jeden protipříklad.",
"Vyber možnost A."
] | math | Answer: jeden protipříklad
Steps:
1. Jediné selhání je zabíjí.
2. Tedy: jeden protipříklad.
3. Vyber možnost A.
Answer: (A) | proofs |
Integral: 8000. | null | mat_0974 | worked_example | en | Evaluate the integral of 3x² from 0 to 20. | [
"Antiderivative: x³.",
"Evaluate 0 to 20.",
"20³ − 0 = 8000."
] | math | Answer: Integral: 8000.
Steps:
1. Antiderivative: x³.
2. Evaluate 0 to 20.
3. 20³ − 0 = 8000. | calculus |
Odpověď je projekce. | {
"A": "hádání",
"B": "projekce",
"C": "doufání",
"D": "čekání"
} | mat_0975 | multiple_choice | cs | Vyber: co najde nejbližší bod? | [
"Chyba kolmá.",
"Tedy: projekce.",
"Vyber možnost B."
] | math | Answer: projekce
Steps:
1. Chyba kolmá.
2. Tedy: projekce.
3. Vyber možnost B.
Answer: (B) | linear_algebra |
E = 11.5. | null | mat_0976 | worked_example | en | Compute E of a uniform draw from {1..22}. | [
"Mean of 1..22.",
"(22+1)/2.",
"E = 11.5."
] | math | Answer: E = 11.5.
Steps:
1. Mean of 1..22.
2. (22+1)/2.
3. E = 11.5. | probability |
The lcm is 78. | {
"A": "76",
"B": "80",
"C": "82",
"D": "78"
} | mat_0977 | multiple_choice | en | Find lcm(13, 6). | [
"13×6/gcd.",
"lcm = 78.",
"Select option D."
] | math | Answer: 78
Steps:
1. 13×6/gcd.
2. lcm = 78.
3. Select option D.
Answer: (D) | number_theory |
It underlies probability, algorithms, and design, making counting a core skill. | null | mat_0978 | concept | en | Why study combinatorics? | [
"It underlies probability, algorithms, and design, making counting a core skill.",
"So the answer stands: It underlies probability, algorithms, and design, making counting a core skill."
] | math | Answer: It underlies probability, algorithms, and design, making counting a core skill.
Steps:
1. It underlies probability, algorithms, and design, making counting a core skill.
2. So the answer stands: It underlies probability, algorithms, and design, making counting a core skill. | combinatorics |
The value is 156. | {
"A": "154",
"B": "158",
"C": "160",
"D": "156"
} | mat_0979 | multiple_choice | en | Compute N² + N for N = 12. | [
"12² + 12.",
"Value = 156.",
"Select option D."
] | math | Answer: 156
Steps:
1. 12² + 12.
2. Value = 156.
3. Select option D.
Answer: (D) | proofs |
Integrál: 343. | null | mat_0980 | worked_example | cs | Vyčísli integrál 3x² od 0 do 7. | [
"Primitivní: x³.",
"Vyčísli 0 až 7.",
"7³ − 0 = 343."
] | math | Answer: Integrál: 343.
Steps:
1. Primitivní: x³.
2. Vyčísli 0 až 7.
3. 7³ − 0 = 343. | calculus |
Trace: 41. | null | mat_0981 | worked_example | en | Compute the trace of [[20,0],[0,21]]. | [
"Sum diagonal.",
"20 + 21.",
"= 41."
] | math | Answer: Trace: 41.
Steps:
1. Sum diagonal.
2. 20 + 21.
3. = 41. | linear_algebra |
P(red) is 11/34. | {
"A": "23/34",
"B": "11/35",
"C": "12/34",
"D": "11/34"
} | mat_0982 | multiple_choice | en | A bag holds 11 red and 23 blue marbles. What is P(red)? | [
"11 of 34.",
"P = 11/34.",
"Select option D."
] | math | Answer: 11/34
Steps:
1. 11 of 34.
2. P = 11/34.
3. Select option D.
Answer: (D) | probability |
gcd = 38. | null | mat_0983 | worked_example | en | Compute gcd(76, 114) step by step. | [
"Factor: 76=4×19, 114=6×19.",
"Common: 19×gcd(4,6).",
"= 19×2 = 38."
] | math | Answer: gcd = 38.
Steps:
1. Factor: 76=4×19, 114=6×19.
2. Common: 19×gcd(4,6).
3. = 19×2 = 38. | number_theory |
C(14,3) is 364. | {
"A": "350",
"B": "378",
"C": "392",
"D": "364"
} | mat_0984 | multiple_choice | en | Compute C(14,3). | [
"14×13×12/6.",
"= 364.",
"Select option D."
] | math | Answer: 364
Steps:
1. 14×13×12/6.
2. = 364.
3. Select option D.
Answer: (D) | combinatorics |
Odpověď je každou možnost. | {
"A": "snadné",
"B": "každou možnost",
"C": "první dva",
"D": "liché případy"
} | mat_0985 | multiple_choice | cs | Vyber: co musí případy pokrýt? | [
"Mezery boří důkazy.",
"Tedy: každou možnost.",
"Vyber možnost B."
] | math | Answer: každou možnost
Steps:
1. Mezery boří důkazy.
2. Tedy: každou možnost.
3. Vyber možnost B.
Answer: (B) | proofs |
The integral is 1331. | {
"A": "1320",
"B": "1342",
"C": "1331",
"D": "1353"
} | mat_0986 | multiple_choice | en | Compute the integral of 3x² from 0 to 11. | [
"Antiderivative x³.",
"11³ = 1331.",
"Select option C."
] | math | Answer: 1331
Steps:
1. Antiderivative x³.
2. 11³ = 1331.
3. Select option C.
Answer: (C) | calculus |
The dot product is 74. | {
"A": "70",
"B": "78",
"C": "82",
"D": "74"
} | mat_0987 | multiple_choice | en | Find the dot product (10,11) · (3,4). | [
"10×3 + 11×4.",
"Product = 74.",
"Select option D."
] | math | Answer: 74
Steps:
1. 10×3 + 11×4.
2. Product = 74.
3. Select option D.
Answer: (D) | linear_algebra |
E = 5. | null | mat_0988 | worked_example | cs | Spočítej E rovnoměrného tahu z {1..9}. | [
"Průměr 1..9.",
"(9+1)/2.",
"E = 5."
] | math | Answer: E = 5.
Steps:
1. Průměr 1..9.
2. (9+1)/2.
3. E = 5. | probability |
Remainder: 6. | null | mat_0989 | worked_example | en | Compute (237) mod 7. | [
"Divide 237 by 7.",
"7×33 = 231.",
"237 − 231 = 6."
] | math | Answer: Remainder: 6.
Steps:
1. Divide 237 by 7.
2. 7×33 = 231.
3. 237 − 231 = 6. | number_theory |
P(21,3) = 7980. | null | mat_0990 | worked_example | en | Show the computation of P(21,3). | [
"n(n−1)(n−2).",
"21×20×19.",
"= 7980."
] | math | Answer: P(21,3) = 7980.
Steps:
1. n(n−1)(n−2).
2. 21×20×19.
3. = 7980. | combinatorics |
Reviewing proofs catches errors and sharpens arguments, which is why journals use peer referees. | null | mat_0991 | concept | en | Why review proofs? | [
"Reviewing proofs catches errors and sharpens arguments, which is why journals use peer referees.",
"So the answer stands: Reviewing proofs catches errors and sharpens arguments, which is why journals use peer referees."
] | math | Answer: Reviewing proofs catches errors and sharpens arguments, which is why journals use peer referees.
Steps:
1. Reviewing proofs catches errors and sharpens arguments, which is why journals use peer referees.
2. So the answer stands: Reviewing proofs catches errors and sharpens arguments, which is why journals use p... | proofs |
The limit is 22. | {
"A": "20",
"B": "24",
"C": "26",
"D": "22"
} | mat_0992 | multiple_choice | en | Find the limit of (x² − 11²)/(x − 11) as x → 11. | [
"Factor (x−11)(x+11).",
"Cancel, get 2×11 = 22.",
"Select option D."
] | math | Answer: 22
Steps:
1. Factor (x−11)(x+11).
2. Cancel, get 2×11 = 22.
3. Select option D.
Answer: (D) | calculus |
Skalární součin měří úhly a délky přes souřadnice. | null | mat_0993 | concept | cs | Proč skalární součin? | [
"Skalární součin měří úhly a délky přes souřadnice.",
"Odpověď tedy platí: Skalární součin měří úhly a délky přes souřadnice."
] | math | Answer: Skalární součin měří úhly a délky přes souřadnice.
Steps:
1. Skalární součin měří úhly a délky přes souřadnice.
2. Odpověď tedy platí: Skalární součin měří úhly a délky přes souřadnice. | linear_algebra |
Odpověď je normální rozdělení. | {
"A": "divoké hádání",
"B": "normální rozdělení",
"C": "rovná čára",
"D": "jediný bod"
} | mat_0994 | multiple_choice | cs | Vyber: co modeluje zvony chyb? | [
"Průměry jsou normální.",
"Tedy: normální rozdělení.",
"Vyber možnost B."
] | math | Answer: normální rozdělení
Steps:
1. Průměry jsou normální.
2. Tedy: normální rozdělení.
3. Vyber možnost B.
Answer: (B) | probability |
lcm = 88. | null | mat_0995 | worked_example | en | Compute lcm(22, 8) step by step. | [
"gcd(22,8) = 2.",
"22×8/2.",
"= 88."
] | math | Answer: lcm = 88.
Steps:
1. gcd(22,8) = 2.
2. 22×8/2.
3. = 88. | number_theory |
C(23,3) = 1771. | null | mat_0996 | worked_example | en | Show the computation of C(23,3). | [
"n(n−1)(n−2)/6.",
"23×22×21/6.",
"= 1771."
] | math | Answer: C(23,3) = 1771.
Steps:
1. n(n−1)(n−2)/6.
2. 23×22×21/6.
3. = 1771. | combinatorics |
Half: 190, so 380 is even. | null | mat_0997 | worked_example | en | Show N² + N is even for N = 19 by computing its half. | [
"19² + 19 = 380.",
"380 / 2 = 190.",
"Integer, so even."
] | math | Answer: Half: 190, so 380 is even.
Steps:
1. 19² + 19 = 380.
2. 380 / 2 = 190.
3. Integer, so even. | proofs |
Calculus models change everywhere, from orbits to markets, making it the core applied language. | null | mat_0998 | concept | en | Why learn calculus? | [
"Calculus models change everywhere, from orbits to markets, making it the core applied language.",
"So the answer stands: Calculus models change everywhere, from orbits to markets, making it the core applied language."
] | math | Answer: Calculus models change everywhere, from orbits to markets, making it the core applied language.
Steps:
1. Calculus models change everywhere, from orbits to markets, making it the core applied language.
2. So the answer stands: Calculus models change everywhere, from orbits to markets, making it the core applied... | calculus |
It powers graphics, data, and physics, making vectors and matrices the applied core. | null | mat_0999 | concept | en | Why study linear algebra? | [
"It powers graphics, data, and physics, making vectors and matrices the applied core.",
"So the answer stands: It powers graphics, data, and physics, making vectors and matrices the applied core."
] | math | Answer: It powers graphics, data, and physics, making vectors and matrices the applied core.
Steps:
1. It powers graphics, data, and physics, making vectors and matrices the applied core.
2. So the answer stands: It powers graphics, data, and physics, making vectors and matrices the applied core. | linear_algebra |
Testování váží důkazy proti nulovému tvrzení. | null | mat_1000 | concept | cs | Proč testování hypotéz? | [
"Testování váží důkazy proti nulovému tvrzení.",
"Odpověď tedy platí: Testování váží důkazy proti nulovému tvrzení."
] | math | Answer: Testování váží důkazy proti nulovému tvrzení.
Steps:
1. Testování váží důkazy proti nulovému tvrzení.
2. Odpověď tedy platí: Testování váží důkazy proti nulovému tvrzení. | probability |
Místní čas: 12:00. | null | oth_0001 | worked_example | cs | Praha ukazuje 9:00; město je +3 h napřed. Zjisti místní čas. | [
"Základ 9.",
"Přičti 3.",
"= 12:00."
] | other | Answer: Místní čas: 12:00.
Steps:
1. Základ 9.
2. Přičti 3.
3. = 12:00. | geography |
Vzdálenost, již světlo urazí za rok. | null | oth_0002 | concept | cs | Co je světelný rok? | [
"Vzdálenost, již světlo urazí za rok.",
"Odpověď tedy platí: Vzdálenost, již světlo urazí za rok."
] | other | Answer: Vzdálenost, již světlo urazí za rok.
Steps:
1. Vzdálenost, již světlo urazí za rok.
2. Odpověď tedy platí: Vzdálenost, již světlo urazí za rok. | astronomy |
Water needed: 2 litres. | {
"A": "2",
"B": "1",
"C": "3",
"D": "4"
} | oth_0003 | multiple_choice | en | Pasta needs 1 litre per 100 g. How many litres for 200 g? | [
"200/100 × 1.",
"= 2.",
"Select option A."
] | other | Answer: 2
Steps:
1. 200/100 × 1.
2. = 2.
3. Select option A.
Answer: (A) | everyday_science |
Data rate per second, sizing downloads and streams. | null | oth_0004 | concept | en | What is bandwidth? | [
"Data rate per second, sizing downloads and streams.",
"So the answer stands: Data rate per second, sizing downloads and streams."
] | other | Answer: Data rate per second, sizing downloads and streams.
Steps:
1. Data rate per second, sizing downloads and streams.
2. So the answer stands: Data rate per second, sizing downloads and streams. | technology |
Total lines: 8. | {
"A": "8",
"B": "4",
"C": "12",
"D": "16"
} | oth_0005 | multiple_choice | en | A song has 2 verses of 4 lines. How many lines total? | [
"2 × 4.",
"= 8.",
"Select option A."
] | other | Answer: 8
Steps:
1. 2 × 4.
2. = 8.
3. Select option A.
Answer: (A) | arts_basics |
Distance is 500 m. | {
"A": "500",
"B": "450",
"C": "550",
"D": "600"
} | oth_0006 | multiple_choice | en | A pool is 50 m; a swimmer does 10 laps. How many metres? | [
"50 × 10.",
"= 500.",
"Select option A."
] | other | Answer: 500
Steps:
1. 50 × 10.
2. = 500.
3. Select option A.
Answer: (A) | sports_science |
Local time is 14:00. | {
"A": "14:00",
"B": "13:00",
"C": "15:00",
"D": "16:00"
} | oth_0007 | multiple_choice | en | Prague shows 12:00; a city is +2 h ahead. What time is it there? | [
"12 + 2.",
"= 14:00.",
"Select option A."
] | other | Answer: 14:00
Steps:
1. 12 + 2.
2. = 14:00.
3. Select option A.
Answer: (A) | geography |
The distance light travels in one year, about 9.5 trillion km. | null | oth_0008 | concept | en | What is a light-year? | [
"The distance light travels in one year, about 9.5 trillion km.",
"So the answer stands: The distance light travels in one year, about 9.5 trillion km."
] | other | Answer: The distance light travels in one year, about 9.5 trillion km.
Steps:
1. The distance light travels in one year, about 9.5 trillion km.
2. So the answer stands: The distance light travels in one year, about 9.5 trillion km. | astronomy |
Vapour pressure matches air at 100 °C, freeing bubbles throughout. | null | oth_0009 | concept | en | Why does water boil? | [
"Vapour pressure matches air at 100 °C, freeing bubbles throughout.",
"So the answer stands: Vapour pressure matches air at 100 °C, freeing bubbles throughout."
] | other | Answer: Vapour pressure matches air at 100 °C, freeing bubbles throughout.
Steps:
1. Vapour pressure matches air at 100 °C, freeing bubbles throughout.
2. So the answer stands: Vapour pressure matches air at 100 °C, freeing bubbles throughout. | everyday_science |
Time: 4 seconds. | null | oth_0010 | worked_example | en | A 200 MB file downloads at 50 MB/s. Compute the seconds. | [
"200 / 50.",
"= 4."
] | other | Answer: Time: 4 seconds.
Steps:
1. 200 / 50.
2. = 4. | technology |
Patterned beats in time that make music move. | null | oth_0011 | concept | en | What is rhythm? | [
"Patterned beats in time that make music move.",
"So the answer stands: Patterned beats in time that make music move."
] | other | Answer: Patterned beats in time that make music move.
Steps:
1. Patterned beats in time that make music move.
2. So the answer stands: Patterned beats in time that make music move. | arts_basics |
Distance: 600 m. | null | oth_0012 | worked_example | en | A pool is 50 m; a swimmer does 12 laps. Compute the metres. | [
"50 × 12.",
"= 600."
] | other | Answer: Distance: 600 m.
Steps:
1. 50 × 12.
2. = 600. | sports_science |
Real distance is 2 km. | {
"A": "1 km",
"B": "2 km",
"C": "3 km",
"D": "4 km"
} | oth_0013 | multiple_choice | en | A 1:100000 map shows 2 cm. How many km is that really? | [
"1 cm = 1 km.",
"2 cm = 2 km.",
"Select option B."
] | other | Answer: 2 km
Steps:
1. 1 cm = 1 km.
2. 2 cm = 2 km.
3. Select option B.
Answer: (B) | geography |
The Sun's gravity bends their paths into ellipses forever. | null | oth_0014 | concept | en | Why planets orbit? | [
"The Sun's gravity bends their paths into ellipses forever.",
"So the answer stands: The Sun's gravity bends their paths into ellipses forever."
] | other | Answer: The Sun's gravity bends their paths into ellipses forever.
Steps:
1. The Sun's gravity bends their paths into ellipses forever.
2. So the answer stands: The Sun's gravity bends their paths into ellipses forever. | astronomy |
Runtime is 4 hours. | {
"A": "3",
"B": "4",
"C": "5",
"D": "6"
} | oth_0015 | multiple_choice | en | A 2000 mAh battery feeds a 500 mA device. How many hours? | [
"2000 / 500.",
"= 4.",
"Select option B."
] | other | Answer: 4
Steps:
1. 2000 / 500.
2. = 4.
3. Select option B.
Answer: (B) | everyday_science |
Stahování trvá 2 sekundy. | {
"A": "2",
"B": "1",
"C": "3",
"D": "4"
} | oth_0016 | multiple_choice | cs | Soubor 100 MB se stahuje 50 MB/s. Kolik sekund? | [
"100 / 50.",
"= 2.",
"Vyber možnost A."
] | other | Answer: 2
Steps:
1. 100 / 50.
2. = 2.
3. Vyber možnost A.
Answer: (A) | technology |
Total players: 18. | {
"A": "13",
"B": "18",
"C": "23",
"D": "28"
} | oth_0017 | multiple_choice | en | An orchestra has 10 strings and 8 wind players. How many total? | [
"10 + 8.",
"= 18.",
"Select option B."
] | other | Answer: 18
Steps:
1. 10 + 8.
2. = 18.
3. Select option B.
Answer: (B) | arts_basics |
Total: 900 kcal. | null | oth_0018 | worked_example | en | Training burns 300 kcal per session over 3 sessions. Compute total kcal. | [
"300 × 3.",
"= 900."
] | other | Answer: Total: 900 kcal.
Steps:
1. 300 × 3.
2. = 900. | sports_science |
Earth's 24 zones keep local noon near the Sun, shifting clocks by longitude. | null | oth_0019 | concept | en | What are time zones? | [
"Earth's 24 zones keep local noon near the Sun, shifting clocks by longitude.",
"So the answer stands: Earth's 24 zones keep local noon near the Sun, shifting clocks by longitude."
] | other | Answer: Earth's 24 zones keep local noon near the Sun, shifting clocks by longitude.
Steps:
1. Earth's 24 zones keep local noon near the Sun, shifting clocks by longitude.
2. So the answer stands: Earth's 24 zones keep local noon near the Sun, shifting clocks by longitude. | geography |
Light time: 24 min. | null | oth_0020 | worked_example | en | Sunlight takes 8 min per AU. Compute light time to 3 AU. | [
"Per AU: 8.",
"Distance: 3.",
"8 × 3 = 24."
] | other | Answer: Light time: 24 min.
Steps:
1. Per AU: 8.
2. Distance: 3.
3. 8 × 3 = 24. | astronomy |
Water needed: 3 litres. | null | oth_0021 | worked_example | en | Pasta needs 1 litre per 100 g. Compute litres for 300 g. | [
"300/100 = 3.",
"3 × 1.",
"= 3."
] | other | Answer: Water needed: 3 litres.
Steps:
1. 300/100 = 3.
2. 3 × 1.
3. = 3. | everyday_science |
Download takes 2 seconds. | {
"A": "2",
"B": "1",
"C": "3",
"D": "4"
} | oth_0022 | multiple_choice | en | A 100 MB file downloads at 50 MB/s. How many seconds? | [
"100 / 50.",
"= 2.",
"Select option A."
] | other | Answer: 2
Steps:
1. 100 / 50.
2. = 2.
3. Select option A.
Answer: (A) | technology |
Total: 12. | null | oth_0023 | worked_example | en | A song has 3 verses of 4 lines. Count all lines. | [
"Verses: 3.",
"Each: 4.",
"3 × 4 = 12."
] | other | Answer: Total: 12.
Steps:
1. Verses: 3.
2. Each: 4.
3. 3 × 4 = 12. | arts_basics |
Energy burned: 300 kcal. | {
"A": "240",
"B": "300",
"C": "360",
"D": "420"
} | oth_0024 | multiple_choice | en | A run burns 60 kcal/km over 5 km. How many kcal total? | [
"60 × 5.",
"= 300.",
"Select option B."
] | other | Answer: 300
Steps:
1. 60 × 5.
2. = 300.
3. Select option B.
Answer: (B) | sports_science |
Per region: 2 million. | {
"A": "1",
"B": "3",
"C": "2",
"D": "4"
} | oth_0025 | multiple_choice | en | A country of 6 million people has 3 regions. How many million per region? | [
"6 / 3.",
"= 2.",
"Select option C."
] | other | Answer: 2
Steps:
1. 6 / 3.
2. = 2.
3. Select option C.
Answer: (C) | geography |
Light time is 16 min. | {
"A": "16 min",
"B": "8 min",
"C": "24 min",
"D": "32 min"
} | oth_0026 | multiple_choice | en | Sunlight takes 8 min per AU. How long to a planet at 2 AU? | [
"8 × 2.",
"= 16 min.",
"Select option A."
] | other | Answer: 16 min
Steps:
1. 8 × 2.
2. = 16 min.
3. Select option A.
Answer: (A) | astronomy |
Rain total: 50 litres. | {
"A": "0",
"B": "100",
"C": "50",
"D": "150"
} | oth_0027 | multiple_choice | en | Rainfall is 5 mm on 10 m². How many litres fell? | [
"1 mm/m² = 1 L.",
"5 × 10 = 50.",
"Select option C."
] | other | Answer: 50
Steps:
1. 1 mm/m² = 1 L.
2. 5 × 10 = 50.
3. Select option C.
Answer: (C) | everyday_science |
Datový tok za sekundu. | null | oth_0028 | concept | cs | Co je šířka pásma? | [
"Datový tok za sekundu.",
"Odpověď tedy platí: Datový tok za sekundu."
] | other | Answer: Datový tok za sekundu.
Steps:
1. Datový tok za sekundu.
2. Odpověď tedy platí: Datový tok za sekundu. | technology |
Celkem: 12. | null | oth_0029 | worked_example | cs | Píseň má 3 sloky po 4 verších. Spočítej všechny verše. | [
"Slok: 3.",
"Každá: 4.",
"3 × 4 = 12."
] | other | Answer: Celkem: 12.
Steps:
1. Slok: 3.
2. Každá: 4.
3. 3 × 4 = 12. | arts_basics |
Gradual effort heats muscles and primes joints safely. | null | oth_0030 | concept | en | Why warm up? | [
"Gradual effort heats muscles and primes joints safely.",
"So the answer stands: Gradual effort heats muscles and primes joints safely."
] | other | Answer: Gradual effort heats muscles and primes joints safely.
Steps:
1. Gradual effort heats muscles and primes joints safely.
2. So the answer stands: Gradual effort heats muscles and primes joints safely. | sports_science |
Místní čas je 14:00. | {
"A": "14:00",
"B": "13:00",
"C": "15:00",
"D": "16:00"
} | oth_0031 | multiple_choice | cs | Praha ukazuje 12:00; město je +2 h napřed. Kolik hodin je tam? | [
"12 + 2.",
"= 14:00.",
"Vyber možnost A."
] | other | Answer: 14:00
Steps:
1. 12 + 2.
2. = 14:00.
3. Vyber možnost A.
Answer: (A) | geography |
Days per checkup: 50. | null | oth_0032 | worked_example | en | A mission lasts 200 days with 4 checkups. Find days per checkup. | [
"Total 200.",
"Checkups 4.",
"200 / 4 = 50."
] | other | Answer: Days per checkup: 50.
Steps:
1. Total 200.
2. Checkups 4.
3. 200 / 4 = 50. | astronomy |
Vody třeba: 3 litry. | null | oth_0033 | worked_example | cs | Těstoviny potřebují 1 litr na 100 g. Spočítej litry na 300 g. | [
"300/100 = 3.",
"3 × 1.",
"= 3."
] | other | Answer: Vody třeba: 3 litry.
Steps:
1. 300/100 = 3.
2. 3 × 1.
3. = 3. | everyday_science |
Removing redundancy shrinks storage and speeds transfers. | null | oth_0034 | concept | en | Why compress files? | [
"Removing redundancy shrinks storage and speeds transfers.",
"So the answer stands: Removing redundancy shrinks storage and speeds transfers."
] | other | Answer: Removing redundancy shrinks storage and speeds transfers.
Steps:
1. Removing redundancy shrinks storage and speeds transfers.
2. So the answer stands: Removing redundancy shrinks storage and speeds transfers. | technology |
Na místnost: 3. | null | oth_0035 | worked_example | cs | Galerie vystavuje 15 obrazů rovnoměrně v 5 místnostech. Spočítej na místnost. | [
"Celkem: 15.",
"Místností: 5.",
"15 / 5 = 3."
] | other | Answer: Na místnost: 3.
Steps:
1. Celkem: 15.
2. Místností: 5.
3. 15 / 5 = 3. | arts_basics |
Max rate: 195 bpm. | null | oth_0036 | worked_example | en | Max heart rate is 220 − age. Compute it for age 25. | [
"220 − 25.",
"= 195."
] | other | Answer: Max rate: 195 bpm.
Steps:
1. 220 − 25.
2. = 195. | sports_science |
The answer is Time zones. | {
"A": "Wind belts",
"B": "Soil types",
"C": "Cloud shapes",
"D": "Time zones"
} | oth_0037 | multiple_choice | en | Choose: what shifts clocks? | [
"Longitude times them.",
"So: Time zones.",
"Select option D."
] | other | Answer: Time zones
Steps:
1. Longitude times them.
2. So: Time zones.
3. Select option D.
Answer: (D) | geography |
Apparent width: 10°. | null | oth_0038 | worked_example | en | A telescope magnifies 20×; the Moon spans 0.5°. Compute apparent width. | [
"0.5 × 20.",
"= 10°."
] | other | Answer: Apparent width: 10°.
Steps:
1. 0.5 × 20.
2. = 10°. | astronomy |
Cooling vapour liquefies on cold surfaces like windows. | null | oth_0039 | concept | en | What is condensation? | [
"Cooling vapour liquefies on cold surfaces like windows.",
"So the answer stands: Cooling vapour liquefies on cold surfaces like windows."
] | other | Answer: Cooling vapour liquefies on cold surfaces like windows.
Steps:
1. Cooling vapour liquefies on cold surfaces like windows.
2. So the answer stands: Cooling vapour liquefies on cold surfaces like windows. | everyday_science |
One picture dot; millions form sharp screens. | null | oth_0040 | concept | en | What is a pixel? | [
"One picture dot; millions form sharp screens.",
"So the answer stands: One picture dot; millions form sharp screens."
] | other | Answer: One picture dot; millions form sharp screens.
Steps:
1. One picture dot; millions form sharp screens.
2. So the answer stands: One picture dot; millions form sharp screens. | technology |
Stacked notes blend into pleasing chords. | null | oth_0041 | concept | en | Why harmony? | [
"Stacked notes blend into pleasing chords.",
"So the answer stands: Stacked notes blend into pleasing chords."
] | other | Answer: Stacked notes blend into pleasing chords.
Steps:
1. Stacked notes blend into pleasing chords.
2. So the answer stands: Stacked notes blend into pleasing chords. | arts_basics |
Peak oxygen use rating endurance fitness. | null | oth_0042 | concept | en | What is VO2max? | [
"Peak oxygen use rating endurance fitness.",
"So the answer stands: Peak oxygen use rating endurance fitness."
] | other | Answer: Peak oxygen use rating endurance fitness.
Steps:
1. Peak oxygen use rating endurance fitness.
2. So the answer stands: Peak oxygen use rating endurance fitness. | sports_science |
Local time: 12:00. | null | oth_0043 | worked_example | en | Prague shows 9:00; a city is +3 h ahead. Find the local time. | [
"Base 9.",
"Add 3.",
"= 12:00."
] | other | Answer: Local time: 12:00.
Steps:
1. Base 9.
2. Add 3.
3. = 12:00. | geography |
Two orbits take 200 days. | {
"A": "100 days",
"B": "200 days",
"C": "300 days",
"D": "400 days"
} | oth_0044 | multiple_choice | en | A planet's year is 100 days. How many days are 2 orbits? | [
"2 × 100.",
"= 200.",
"Select option B."
] | other | Answer: 200 days
Steps:
1. 2 × 100.
2. = 200.
3. Select option B.
Answer: (B) | astronomy |
Vody třeba: 2 litry. | {
"A": "2",
"B": "1",
"C": "3",
"D": "4"
} | oth_0045 | multiple_choice | cs | Těstoviny potřebují 1 litr na 100 g. Kolik litrů na 200 g? | [
"200/100 × 1.",
"= 2.",
"Vyber možnost A."
] | other | Answer: 2
Steps:
1. 200/100 × 1.
2. = 2.
3. Vyber možnost A.
Answer: (A) | everyday_science |
More pixels show finer detail on same screens. | null | oth_0046 | concept | en | Why resolution matters? | [
"More pixels show finer detail on same screens.",
"So the answer stands: More pixels show finer detail on same screens."
] | other | Answer: More pixels show finer detail on same screens.
Steps:
1. More pixels show finer detail on same screens.
2. So the answer stands: More pixels show finer detail on same screens. | technology |
Per room: 3. | null | oth_0047 | worked_example | en | A gallery shows 15 paintings in 5 rooms equally. Count per room. | [
"Total: 15.",
"Rooms: 5.",
"15 / 5 = 3."
] | other | Answer: Per room: 3.
Steps:
1. Total: 15.
2. Rooms: 5.
3. 15 / 5 = 3. | arts_basics |
Water replaces sweat, keeping output and focus. | null | oth_0048 | concept | en | Why hydrate? | [
"Water replaces sweat, keeping output and focus.",
"So the answer stands: Water replaces sweat, keeping output and focus."
] | other | Answer: Water replaces sweat, keeping output and focus.
Steps:
1. Water replaces sweat, keeping output and focus.
2. So the answer stands: Water replaces sweat, keeping output and focus. | sports_science |
24 pásem drží poledne u Slunce. | null | oth_0049 | concept | cs | Co jsou časová pásma? | [
"24 pásem drží poledne u Slunce.",
"Odpověď tedy platí: 24 pásem drží poledne u Slunce."
] | other | Answer: 24 pásem drží poledne u Slunce.
Steps:
1. 24 pásem drží poledne u Slunce.
2. Odpověď tedy platí: 24 pásem drží poledne u Slunce. | geography |
Apparent width is 5°. | {
"A": "0°",
"B": "10°",
"C": "5°",
"D": "15°"
} | oth_0050 | multiple_choice | en | A telescope magnifies 10×; the Moon spans 0.5°. How wide does it appear? | [
"0.5 × 10.",
"= 5°.",
"Select option C."
] | other | Answer: 5°
Steps:
1. 0.5 × 10.
2. = 5°.
3. Select option C.
Answer: (C) | astronomy |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.