env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Analyze these boolean expressions:
A. (((((-18 * -13) == (6 - 18)) or ((-10 - -3) < (1 - 4) < (-6 * -2 * -8 * -5))) and (not not (51 is an even number.))) or (Steam is a liquid at room temperature.)) or (not not (not (not not (The Pacific Ocean is the largest ocean.))))
B. not ((not (India is in Asia.)) or (((The squa... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 19248142,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (((((-18 * -13) == (6 - 18)) or ((-10 ... |
logic-v2 | Below are several boolean expressions:
A. ((0 - 15) <= (-20 * -6)) or (not (The capital of Malaysia is Nairobi.)) or (not ((80 is divisible by 12.) or (Ice is a solid at room temperature.)))
B. (not ((There are 31 days in July.) or ((-10 + -1) >= (4 * 20)))) and (not (((2 * -4 - -1 * 10) != (10 + 6)) and ((37 % 4) >= ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 38792062,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. ((0 - 15) <= (-20 * -6)) or (not (The ... |
logic-v2 | Analyze these boolean expressions:
A. (not (The 1900 Olympics were held in Paris.)) or ((Australia is in Oceania.) and (((42 % 4) == (11 + 5)) and (The chemical symbol for Silver is Pb.)))
B. not (not (not not (not (28 is divisible by 8.))))
C. (((50 % 2) <= (-4 * 3 + -7 * -8)) and ((((-10 * -6 - -9 * 1) <= (-18 * 1))... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 23250437,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (not (The 1900 Olympics were held in Par... |
logic-v2 | Study the following logical statements:
A. (not ((not ((World War II began occurred in 1939.) or (The chemical symbol for Chlorine is Cl.))) and (((A iguana is a reptile.) or ((14 + -8) < (7 * 9 - 5 * 3))) and (not not (The chemical symbol for Titanium is Ti.))))) and (((43 is a prime number.) or (2 is a prime number.... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 13537989,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not ((not ((World War II began occ... |
logic-v2 | Given the following boolean expressions:
A. (not not (not (Lightning never strikes the same place twice.))) or ((not (((6 - -18) < (-9 * 6 - 9 * 4)) or (The capital of Finland is Helsinki.))) and (Nigeria is in Asia.)) or (not ((((8 * -15) > (11 + 20)) and (((14 - -17) > (6 - -19)) or ((50 % 10) <= (21 % 2)))) or (not... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 56474985,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not not (not (Lightning never s... |
logic-v2 | Examine these expressions:
A. (-10 * 10) == (-4 * 2 + 7 * 3)
B. There are 31 days in August.
C. ((There are 30 days in November.) and (The chemical symbol for Calcium is Ca.)) or ((The 1964 Olympics were held in Athens.) or ((13 + -9) <= (11 % 8)))
D. not not ((Sound travels faster in a vacuum.) or (Mercury is the 5th... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 36236945,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (-10 * 10) == (-4 * 2 + 7 * 3)\nB. There are 31 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not (Electricity flows faster than light.))
B. (33 % 9) != (-7 * 5 - 8 * -10)
C. Uranus is the 7th planet from the Sun.
D. not not ((The currency of United States is the Dollar.) or (World War I began occurred in 1914.))
E. (Chile is... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 30402837,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Below are several boolean expressions:
A. not not (A octopus has 8 legs.)
B. (19 + 18) < (10 * -3 + 9 * 3)
C. not (not not (Kenya is in Africa.))
D. (not (Alcohol is a solid at room temperature.)) and (((-19 * -8) != (5 - -16)) and ((7 - -1) == (0 * -5 - 3 * 8)))
Identify all expressions that are true. Answer with th... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 89200889,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not not (A octopus has 8 legs.)\nB. (1... |
logic-v2 | Given the following boolean expressions:
A. ((The capital of Nigeria is Warsaw.) and ((-10 * 1 - 8 * 2) != (-10 * 0 - 10 * -6))) or (not not ((The currency of Nigeria is the Forint.) or (Chile is in South America.)))
B. (not (((1 % 7) != (20 + 18)) or (Diamonds are made of carbon.))) or ((17 * -15) >= (2 % 5))
C. ((2 ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 38195724,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. ((The capital of Nigeria is Warsaw... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (The capital of Peru is Lima.)
B. (The capital of Romania is Bucharest.) and (not not ((-14 - 13) <= (14 - -16)))
C. (((6 + 17) <= (36 % 5) <= (5 * -2 + 8 * 9)) or ((-7 * 10 + 9 * 9) <= (3 + 3))) or ((The capital of Venezuela is Lisbo... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 43078860,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (The Sun revolves around the Earth.)
B. not (((-15 + 11) >= (20 - -17)) or (not (Mercury is the 1st planet from the Sun.)))
C. (Sound travels faster in a vacuum.) and (((The 1964 Olympics were held in Mexico City.) and ((5 % 9) >= (1 ... | {
"game_data": {
"answer": "A,B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 57716068,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (((0 + -3) > (8 * -20)) and ((not not (The chemical symbol for Copper is Cu.)) and ((Ice is a solid at room temperature.) and ((1 ** 2) >= (22 % 2)))))
B. (((-10 + -4) < (-10 * -2 + 5 * -10)) or (France is in Europe.)) or ((((Heli... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 84077951,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Evaluate each expression below:
A. not (not not (not ((17 + 7) < (17 * 18))))
B. (not not ((6 is a prime number.) or (Christopher Columbus reached America occurred in 1492.))) and (The 1912 Olympics were held in Stockholm.)
C. ((-16 + -9) == (-2 * 8 * -9 * 0)) or (not not ((The 1896 Olympics were held in Rome.) and (T... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 67326778,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (not not (not ((17 + 7) < (17 * 18))))\... |
logic-v2 | Review these logical expressions:
A. (not not (not ((((-19 - -20) < (-15 * 19)) and (Saturn is the 6th planet from the Sun.)) and (not not ((-10 + -5) == (19 + -18)))))) and (not not (not not ((not not ((40 % 5) <= (-18 * 9))) or (79 is greater than 13.))))
B. not ((not ((not not ((-14 - 20) >= (6 + -8))) and (((-3 + ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 73308237,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not not (not ((((-19 - -20) < (-15 * 19)... |
logic-v2 | Review these logical expressions:
A. (not not ((2 * 7 + 6 * 5) > (4 * -6 * -1 * -7))) and (not not (((20 * 0) != (3 * -17)) and (Spain is in Europe.))) and ((not not (The chemical symbol for Chlorine is Cl.)) and (((-13 * 12) < (41 % 2)) or ((15 - -18) <= (1 % 9))) and (((Uranus is the 3rd planet from the Sun.) or ((-... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 14510134,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not not ((2 * 7 + 6 * 5) > (4 * -6 * -1 ... |
logic-v2 | Evaluate each expression below:
A. The 1980 Olympics were held in Atlanta.
B. (-18 + 9) <= (-2 * 0 - -6 * -8) <= (8 % 10)
C. ((3 ** 1) < (13 * -18) < (-2 + 11)) and (((4 ** 1) <= (-5 * 0 * -8 * -7) <= (40 % 8)) and (91 is divisible by 10.))
D. not (((-3 * -8 + -7 * -7) > (15 - -15)) or (Colombia is in South America.))... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 22831798,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. The 1980 Olympics were held in Atlanta.\nB. (... |
logic-v2 | Here are some boolean expressions to evaluate:
A. The 1920 Olympics were held in Antwerp.
B. ((3 ** 2) != (-7 * -15)) or (A lobster has 10 legs.)
C. ((35 is a prime number.) or (The capital of Japan is Tokyo.)) and (not (2022 is a leap year.))
D. ((1 * 1 * -10 * -9) <= (4 ** 1)) and ((4 ** 3) > (0 + -1))
Find all exp... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 91974961,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. The 1920 Olympics were hel... |
logic-v2 | Evaluate each expression below:
A. Whales are fish.
B. not not ((-5 - 13) >= (3 ** 2))
C. (((-7 * 0 * -4 * -3) >= (-9 - -11)) or ((3 - 3) > (21 % 9))) or ((There are 28 days in June.) and (A salmon is a mammal.))
D. (7 + 20) > (-4 - 19)
E. (not not (There are 31 days in May.)) or (not ((1 * 2) == (-14 - 8)))
F. not no... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 93501584,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. Whales are fish.\nB. not not ((-5 - 13) >... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not (Germany is in Asia.))
B. (not ((The currency of China is the Yuan.) or (Mercury is the 7th planet from the Sun.))) and (68 is a prime number.)
C. (not not (not ((7 % 5) > (6 * -13)))) or ((((15 - -10) > (13 * 0)) and (A mosq... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 94392365,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not (((0 * 9 * -1 * 4) == (0 * -8 + -2 * -7)) and (((4 * 7 - -4 * -8) <= (34 % 5) <= (-20 + -13)) or (A parrot is a mammal.)))) and (((((0 * -4 * -8 * 3) > (2 * -13)) and (The chemical symbol for Calcium is U.)) or (The chemical symbol for Tin is Sn.)) and (The capita... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 30802318,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not (((0 * 9 * -1 * 4) ==... |
logic-v2 | Analyze these boolean expressions:
A. (not ((((35 % 6) > (15 + -19)) or ((-11 - 20) <= (-15 - -10))) or ((The capital of Egypt is Cairo.) and (United Kingdom is in Oceania.)))) and (not not (((18 + -2) == (2 * -9 + -6 * -2)) or ((The chemical symbol for Copper is Cu.) or (Silver is a solid at room temperature.))))
B. ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 88880940,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not ((((35 % 6) > (15 + -19)) or ((-11 - ... |
logic-v2 | Study the following logical statements:
A. ((10 - 5) != (-19 + -8)) or (((4 ** 1) != (-11 * -16)) or (A day on Earth is 24 hours.))
B. ((A trout is an insect.) or ((3 ** 3) == (4 % 6))) or ((Water is a gas at room temperature.) or (The 1976 Olympics were held in Rio de Janeiro.))
C. ((The chemical symbol for Manganese... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 51719448,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. ((10 - 5) != (-19 + -8)) or (((4 ... |
logic-v2 | Analyze these boolean expressions:
A. The square root of 225 is 1.
B. not (((17 + 9) <= (-10 * -6 + -8 * -8) <= (-11 - 0)) and (Gold is a liquid at room temperature.))
C. (not not (The 1928 Olympics were held in Amsterdam.)) or (((3 ** 3) > (22 % 10)) or (India is in North America.))
D. (The chemical symbol for Gold i... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 76666540,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. The square root of 225 is 1.\nB. not (((... |
logic-v2 | Examine these expressions:
A. The capital of Singapore is Paris.
B. The square root of 81 is 9.
C. (not ((14 - -7) > (-2 * -2))) and (not (There are 31 days in May.))
D. ((The capital of Hungary is Budapest.) or ((-16 + 2) < (3 ** 2))) and ((1 + 8) != (-3 - 10))
E. (17 + 13) != (16 + -1)
F. United States is in North A... | {
"game_data": {
"answer": "B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 14129964,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. The capital of Singapore is Paris.\nB. The s... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not ((-6 * -8) >= (-19 - 9)))
B. ((not (not (The chemical symbol for Chlorine is Cl.))) or (1969 is a leap year.)) and ((not (Mercury is the 1st planet from the Sun.)) and (The 2024 Olympics were held in Paris.)) and (((7 * 20) =... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 63889079,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not (not ((-1 + -19) > (-8 + 20)))) or (not not (((-3 - 18) >= (-5 * 8 * -3 * 0)) and (Uranus is the 7th planet from the Sun.)))
B. (((14 * -1) > (-13 - 16)) and (not not (The capital of Argentina is Buenos Aires.))) or ((12 * 11) < ... | {
"game_data": {
"answer": "A,B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 71859976,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | Study the following logical statements:
A. (not not ((not not ((The currency of United Kingdom is the Peso.) and (Earth is the 7th planet from the Sun.))) and (not ((20 + -14) == (-9 + -6))))) and (((((-14 * -7) != (4 * -1 + -2 * -4)) or ((The currency of Czech Republic is the Dollar.) or ((-17 + 9) < (-2 - 16)))) and... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 66265834,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not not ((not not ((The currency of ... |
logic-v2 | Review these logical expressions:
A. (1958 is a leap year.) or (not ((38 % 6) > (8 * 4 * 10 * 4))) or (not not ((-4 + 15) < (4 + -3)))
B. (((3 ** 3) <= (0 * -20)) and (not ((-16 + -14) < (-13 * -4) < (6 * -1 * -3 * 10)))) or (((The square root of 4 is 12.) and ((4 ** 2) > (0 - -9))) and ((There are 29 days in August.)... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 20966804,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (1958 is a leap year.) or (not ((38 % 6) ... |
logic-v2 | Given the following boolean expressions:
A. (The 1964 Olympics were held in Tokyo.) or (((3 + -19) == (1 % 2)) or ((-1 - -7) < (-3 + -16)))
B. (((16 + 8) != (3 ** 2)) and ((5 * 7 * 2 * -6) == (-3 * 9))) and ((795 is a Fibonacci number.) and ((18 - 17) > (2 ** 2)))
C. ((Earth is the 3rd planet from the Sun.) or (Uranus... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 3404850,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. (The 1964 Olympics were held in Tokyo... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. The speed of light is approximately 300,000 km/s.
B. (-10 - -15) < (-2 * 2 * 2 * 6) < (3 - -16)
C. (not not (The currency of Sweden is the Franc.)) or (not not ((9 * 2 + -7 * 10) < (10 * -15)))
D. ((The human body has 206 bones.) and ((18... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 91627837,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Review these logical expressions:
A. not (not ((There are 31 days in October.) or (((17 + 10) != (38 % 2)) and ((18 * 8) <= (31 % 1)))))
B. (((((1 % 2) == (3 ** 1)) and (Mercury is the 1st planet from the Sun.)) or (77 is an odd number.)) or ((not not (The chemical symbol for Gold is Au.)) and (The chemical symbol for... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 62245920,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not (not ((There are 31 days in October... |
logic-v2 | Analyze these boolean expressions:
A. (((11 % 10) <= (-20 + -2) <= (-10 * -17)) or (((-9 * -2) <= (6 * -4 + 8 * 9)) and ((15 - -3) <= (10 + -9) <= (-3 * 17)))) or (((10 - -10) <= (5 * 11)) or ((The currency of Russia is the Ruble.) or ((19 + -12) < (19 - 6))))
B. (((The Sun revolves around the Earth.) and (48 is divis... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 8975528,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (((11 % 10) <= (-20 + -2) <= (-10 * -17)) o... |
logic-v2 | Consider the following logical expressions:
A. (((18 % 5) < (11 % 10)) or (Sharks are mammals.)) or (not (((-15 + -20) == (-5 + 14)) and ((16 + -2) < (5 ** 1)))) or ((The 1968 Olympics were held in Athens.) or (not not ((Water is a liquid at room temperature.) and (The chemical symbol for Mercury is Hg.))))
B. (((2 **... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 28785872,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (((18 % 5) < (11 % 10)) or (Sha... |
logic-v2 | Given the following boolean expressions:
A. ((-20 + -15) < (17 + 16)) and (A chicken has 2 legs.)
B. (not ((17 + -1) < (-4 - 4))) or (((-4 * 2 - -3 * -6) <= (34 % 9)) and (not (The capital of Philippines is Singapore.)))
C. ((The Pacific Ocean is the largest ocean.) and (There are 30 days in September.)) and (((Helium... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 39948767,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. ((-20 + -15) < (17 + 16)) an... |
logic-v2 | Evaluate each expression below:
A. not (A chicken has 6 legs.)
B. ((-20 - 0) == (6 * 0 * -5 * 10)) or ((42 % 3) != (-17 - 17)) or (not (((7 * 3 + 4 * -2) < (-13 - -10) < (18 - -8)) or (The Great Wall of China was built in one year.)))
C. (((The currency of United States is the Dollar.) and ((-2 + -3) <= (7 * -20))) an... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 55964359,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (A chicken has 6 legs.)\nB. ((-20 - 0) ... |
logic-v2 | Below are several boolean expressions:
A. not ((1 * -8 - 1 * -9) < (6 * 4 * -10 * -7))
B. (((-4 * 8 + -3 * -1) <= (16 % 1)) or (not (The currency of Turkey is the Lira.))) and ((South Korea is in Asia.) or (not not ((4 ** 2) != (44 % 4))))
C. not (((Spiders are insects.) or ((11 % 9) <= (14 - -3))) and (((-5 - 17) == ... | {
"game_data": {
"answer": "B,C,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 91758109,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not ((1 * -8 - 1 * -9) < (6 * 4 * ... |
logic-v2 | Evaluate each expression below:
A. not not (not ((not not (45 is an even number.)) or (not ((-7 * 5) < (9 % 9) < (6 * -6 + 10 * 6)))))
B. not (not (not not (The chemical symbol for Uranium is U.)))
C. (not not (Jupiter is the 5th planet from the Sun.)) and (not ((1 ** 2) < (2 + -15)))
D. ((not ((Diamonds are made of c... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 38715032,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. not not (not ((not not (45 is an even... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not not ((The United States declared independence occurred in 1776.) and (A dolphin is a mammal.))) and (((Uranus is the 6th planet from the Sun.) or ((-1 * 3 * -4 * -2) > (10 + -20))) and (not ((-4 + -13) <= (3 % 8))))) or (not (not (T... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 17613745,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Study the following logical statements:
A. (not (73 is less than or equal to 88.)) or ((not (1951 is a leap year.)) or (((The chemical symbol for Nitrogen is N.) and ((-13 - 19) > (-12 - 7))) or (((5 ** 3) < (2 ** 1) < (-3 + 12)) or (The currency of Nigeria is the Naira.))))
B. (((((7 * 8) != (13 * 7)) or (The 1956 Ol... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 94556891,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not (73 is less than or equal to 8... |
logic-v2 | Below are several boolean expressions:
A. not ((9 * -2 + 3 * 5) > (20 * 12))
B. ((The United States declared independence occurred in 1776.) or ((3 * -1 - 9 * 8) <= (-2 * 18))) or ((23 % 3) > (10 - 20))
C. (15 + 12) > (-5 * 4)
Identify all expressions that are true. Answer with the option labels separated by commas i... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 60892008,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not ((9 * -2 + 3 * 5) > (20 * 12))... |
logic-v2 | Review these logical expressions:
A. ((132 is an even number.) or (Mercury is the 1st planet from the Sun.)) and (not (not not ((2 ** 2) == (1 ** 3))))
B. (((not not (The 1956 Olympics were held in Paris.)) and ((Copper is a solid at room temperature.) or (The Great Wall of China was built in one year.))) or (((Mercur... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 87331597,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. ((132 is an even number.) or (Mercury i... |
logic-v2 | Consider the following logical expressions:
A. (not ((A cow has 8 legs.) and (not not ((6 * -4 - 8 * 5) <= (-4 - 15))) and (((The French Revolution began occurred in 1789.) or (297 is a perfect square.)) and (The capital of Belgium is Brussels.)))) and (((The chemical symbol for Uranium is U.) and (A elephant has 4 le... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 79298617,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (not ((A cow has 8 legs.) and (no... |
logic-v2 | Examine these expressions:
A. ((((-5 - -20) == (7 + 1)) and (The 1948 Olympics were held in Los Angeles.)) and ((27 % 7) < (-7 - -19) < (-6 - -12))) and ((-3 * -2) != (5 - -10)) and ((-10 - 5) > (25 % 9))
B. not ((((-17 + 19) != (-9 * 1 + 4 * 2)) or (The currency of China is the Dong.)) and ((1991 is a leap year.) or ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 1416736,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. ((((-5 - -20) == (7 + 1)) and (The 1948 Olympics we... |
logic-v2 | Study the following logical statements:
A. (((17 + 9) <= (5 + -5)) or (The 1980 Olympics were held in Moscow.)) and (not not (The 1912 Olympics were held in Stockholm.))
B. not (not not (The capital of Spain is Madrid.))
C. There are 28 days in February.
D. not ((2 % 2) > (-4 * -5))
E. (((20 % 4) <= (2 ** 3) <= (13 * ... | {
"game_data": {
"answer": "A,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 40565920,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. (((17 + 9) <= (5 + -5)) or (The... |
logic-v2 | 下面是几个布尔表达式：
A. (not ((意大利的首都是罗马。) or (鲸鱼是鱼类。))) and ((((2是完全平方数。) and (2020年奥运会在东京举办。)) and (2024年奥运会在赫尔辛基举办。)) and (594是斐波那契数。)) and ((((((-11 * -7) < (0 - -15)) or (一月有28天。)) or ((金星是距离太阳第4近的行星。) or (822是斐波那契数。))) and ((1972年奥运会在亚特兰大举办。) or (((3 * 0) <= (5 * 7 * -4 * 1)) or (第一次世界大战结束发生在1918年。)))) or (not not ((1 + ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 54699797,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (not ((意大利的首都是罗马。) or (鲸鱼是鱼类。))) and ((((2是完全平方数。) and (2020年奥运会在... |
logic-v2 | 分析以下逻辑表达式：
A. (not not ((意大利位于欧洲。) and ((4 + -1) < (-17 - 16) < (10 + 5)) and ((-19 + -13) < (35 % 9)))) or (((螃蟹有10条腿。) or (((19 + 5) <= (4 ** 1)) or (((4 ** 3) >= (12 - -3)) or (蜘蛛是昆虫。)))) or (not not ((-8 * 4 * -8 * 9) >= (-8 - 11))) or (((铜在常温下是固体。) or ((58是偶数。) or ((15 % 2) < (12 + -2)))) and (三月有29天。) and ((0 * ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 83679344,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (not not ((意大利位于欧洲。) and ((4 + -1) < (-17 - 16) < (10 + 5)) and ... |
logic-v2 | 给定以下布尔表达式：
A. not not (((硫的化学符号是S。) and (人类首次登月发生在1979年。)) or (秘鲁位于北美洲。))
B. ((冰在常温下是固体。) or (((-7 + 13) < (-5 - -14)) or (氦气在常温下是气体。))) or (not (((-10 + 4) >= (2 ** 2)) or (甲虫是哺乳动物。)))
C. (not (13是质数。)) or (not not (捷克的货币是卢布。)) or ((((-7 + 2) == (15 - -10)) or ((4 * -9 * 8 * -4) <= (4 ** 2))) or (((0 * 6 - -10 * -3) ... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 93835205,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not not (((硫的化学符号是S。) and (人类首次登月发生在1979年。)) or (秘鲁位于北美洲。))\nB... |
logic-v2 | Examine these expressions:
A. not not (not ((not not ((47 % 9) <= (16 + -9))) and ((The chemical symbol for Mercury is C.) and ((13 * -8) != (1 - -17))) and (not ((16 * -11) >= (-15 - -15)))))
B. (not ((not not (not not (Australia is in Oceania.))) or (((The Titanic sank occurred in 1912.) or (Uranus is the 6th planet... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 52321560,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not (not ((not not ((47 % 9) <= (16 + -9))... |
logic-v2 | 审视以下逻辑表达式：
A. ((捷克的首都是利马。) and (第二次世界大战开始发生在1939年。)) and ((-13 + -1) == (19 % 9)) and (not not ((not not ((-18 - 5) == (7 * 1 * -2 * -4))) and ((二月有30天。) and ((10 - 8) < (5 * 7 - -9 * 5)))))
B. (not (not not (not (美国的货币是美元。)))) or ((not not (挪威的首都是新加坡。)) or (not not (not ((-6 + -6) <= (-7 * -10 - 0 * 9)))))
C. not not... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 50785973,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((捷克的首都是利马。) and (第二次世界大战开始发生在1939年。)) and ((-13 + -1) == (19 ... |
logic-v2 | 检验这些表达式：
A. ((-11 - -1) == (-1 * -1 + -9 * -6)) or ((7 + -17) < (-17 + 18))
B. not (not not (not not (铁在常温下是气体。)))
C. ((-8 - -15) >= (18 * -14)) and ((英国位于南美洲。) and ((水蒸气在常温下是固体。) or ((46 % 1) >= (12 + -5))))
D. (((91是奇数。) or (光速约为每秒30万公里。)) or (((12 * 8) != (6 * -9 - 4 * 10)) or ((5 - -5) < (-9 - 8)))) or ((智利的货币是比索。... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 25619336,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. ((-11 - -1) == (-1 * -1 + -9 * -6)) or ((7 + -17) < (-17 + 18))\... |
logic-v2 | 审视以下逻辑表达式：
A. (4 ** 1) == (30 % 9)
B. not not ((土星是距离太阳第6近的行星。) and ((-12 - 1) == (3 ** 2)))
C. (((16 - -1) < (4 + -6)) or (电流比光速更快。)) and (水在海平面上的沸点是100摄氏度。)
D. 氧气对人类生存是必需的。
E. (墨西哥的首都是哈瓦那。) and ((8 - 10) >= (17 * 11))
F. (-15 * 2) > (18 * 15)
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 27086764,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (4 ** 1) == (30 % 9)\nB. not not ((土星是距离太阳第6近的行星。) and ((-12 - 1) ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((-20 * 6) >= (-4 - -11)) or ((第一部iPhone发布发生在2007年。) and (俄罗斯的货币是兰特。))) or ((12 + -16) == (1 ** 3)) or (美国的货币是瑞士法郎。)) and ((1924年奥运会在斯德哥尔摩举办。) or ((not (美国宣布独立发生在1776年。)) or ((十二月有31天。) or ((-6 + -16) <= (10 * 12)))))
B. ((not (海王星是距离太阳第4近的行星。)) or (not not (12是质数。)) or ((not not (镍的化学符号是Ni。)) or... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 99590592,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((-20 * 6) >= (-4 - -11)) or ((第一部iPhone发布发生在2007年。) a... |
logic-v2 | Given the following boolean expressions:
A. ((not (not (((9 * 11) < (3 * -2 - 10 * 1) < (5 - 2)) and (The Soviet Union dissolved occurred in 1991.)))) and (The currency of India is the Shekel.) and (((not not ((12 - -5) != (4 * -7 - -7 * 7))) or (United States is in Antarctica.)) and ((((8 + 12) > (-4 * 7 - 5 * 10)) a... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 36576956,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. ((not (not (((9 * 11) < (3 * -... |
logic-v2 | 审视以下逻辑表达式：
A. (((not not (2024年奥运会在伦敦举办。)) and (not not (加拿大的货币是加元。))) and (((13 % 4) > (-10 * 3)) and (金星是距离太阳第2近的行星。))) and (not (not (not ((-2 * -13) >= (-19 * -19)))))
B. not not (not not (丹麦的货币是克朗。))
C. not not ((not not (((-2 * 8 * 10 * -8) <= (2 ** 3) <= (-6 * 3 - -3 * -5)) and (2004年奥运会在亚特兰大举办。))) or (((-12 - ... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 77500475,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (((not not (2024年奥运会在伦敦举办。)) and (not not (加拿大的货币是加元。))) and (... |
logic-v2 | Analyze these boolean expressions:
A. ((((-7 * 5) > (14 - 19)) and ((-9 * -10 + -6 * 2) <= (13 * -8))) or (((1977 is a leap year.) and ((-3 + -15) <= (-7 * 11))) and ((The currency of Canada is the Dollar.) or ((-1 * 4 * 5 * 7) > (-17 * -10))))) or (not not (The Soviet Union dissolved occurred in 1991.))
B. (((not (Th... | {
"game_data": {
"answer": "A,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 96206628,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((((-7 * 5) > (14 - 19)) and ((-9 * -1... |
logic-v2 | 研究以下逻辑语句：
A. not (((((15 - -4) > (1 * -10 + -8 * -2)) and ((-6 + -17) < (2 + -1))) and (((-6 - -11) > (12 % 10)) or (氦气在常温下是气体。))) and ((1920年奥运会在亚特兰大举办。) or (not not (丹麦的货币是克朗。))))
B. (((((19 * -12) < (1 ** 2) < (-19 - 13)) and (埃及的货币是雷亚尔。)) and (考拉是鸟类。)) and (((-10 * -5) < (-8 - -8)) or ((121的平方根是11。) and (加拿大的货币是比索... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 98288064,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not (((((15 - -4) > (1 * -10 + -8 * -2)) and ((-6 + -17) < (2 + -1)... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not not (1974 is a leap year.)) and ((((Japan is in Asia.) and ((13 * 2) <= (-9 * -4) <= (-3 - -8))) and (((2 * -16) <= (3 * -8 - 9 * 1)) and (Water is a liquid at room temperature.))) and (not ((Sound travels faster in a vacuum.) and (... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 31914960,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Given the following boolean expressions:
A. (not not ((not not (not ((-5 - 16) <= (7 % 2)))) or ((The Titanic sank occurred in 1912.) or (A lizard is a bird.)) or (((-16 * -2) <= (37 % 10)) and (The 1948 Olympics were held in Sydney.)))) and ((((19 + -16) == (27 % 3)) and (((Humans have three lungs.) or ((-10 * 6 + -7... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 77102843,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (not not ((not not (not ((-5 - 16)... |
logic-v2 | 研究以下逻辑语句：
A. 土星是距离太阳第4近的行星。
B. 51是质数。
C. (63是质数。) and (((4 - 2) == (7 * 9 + 9 * 6)) or (芬兰的首都是吉隆坡。))
D. (((19 % 2) < (-5 * -6 + 6 * -4)) or (柏林墙倒塌发生在1999年。)) and (not not ((5 * 2 - -8 * 6) != (-18 - -3)))
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 66269033,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. 土星是距离太阳第4近的行星。\nB. 51是质数。\nC. (63是质数。) and (((4 - 2) == (7 * 9 + 9 ... |
logic-v2 | 分析以下逻辑表达式：
A. (not ((not ((-16 - -8) != (1 * -12))) or (not ((2 + -13) <= (-13 + 3))))) and ((((海王星是距离太阳第2近的行星。) and (第一部iPhone发布发生在2006年。)) and (not not ((19 % 3) != (-10 - 2)))) and ((-19 + -14) > (7 + -3)) and (((2012年奥运会在伦敦举办。) and ((11 - -2) != (8 * 5 + -5 * -7))) and (not not (1924年奥运会在巴黎举办。))))
B. ((9是质数。) or (... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 78743032,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not ((not ((-16 - -8) != (1 * -12))) or (not ((2 + -13) <= (-13 +... |
logic-v2 | 评估以下每个表达式：
A. ((-12 + 16) <= (5 * -2) <= (-8 - 5)) or (not not (((-9 * 20) == (-4 * 3 - 9 * -1)) and ((3 ** 1) == (2 * -10 - -3 * 8))))
B. ((钻石由碳元素组成。) or ((-2 - -6) < (1 ** 3) < (6 * 18))) and (not not (((12 + 14) < (-15 + -15)) and ((-6 - -9) == (3 ** 3))))
C. 人类每只手有五个手指。
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 15842582,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. ((-12 + 16) <= (5 * -2) <= (-8 - 5)) or (not not (((-9 * 20) == (-... |
logic-v2 | 分析以下逻辑表达式：
A. (((((泰国的首都是曼谷。) and ((2 ** 1) == (6 - 16))) or (not not (五月有31天。))) or (水在常温下是液体。)) or (not not (not not (((20 - 12) == (1 + -2)) or ((19 - 5) <= (7 - 17)))))) or (((((狮子是哺乳动物。) and ((-2 + -10) <= (-2 * 4 + 6 * -10))) and (not not ((-3 - -18) >= (10 - -4)))) or ((337是完全平方数。) and (第一次世界大战开始发生在1904年。)) or ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 75241974,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (((((泰国的首都是曼谷。) and ((2 ** 1) == (6 - 16))) or (not not (五月有31天。... |
logic-v2 | 分析以下逻辑表达式：
A. 2016年奥运会在里约热内卢举办。
B. (not not (声音无法在真空中传播。)) or (not not ((-4 * 4) != (-8 - -2)))
C. not (((5 * 1 - -3 * -2) > (18 - -13)) or (铁在常温下是液体。))
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 51721515,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. 2016年奥运会在里约热内卢举办。\nB. (not not (声音无法在真空中传播。)) or (not not ((-4... |
logic-v2 | 给定以下布尔表达式：
A. (not not ((((油在常温下是气体。) or (881是斐波那契数。)) and ((金鱼是爬行动物。) and ((16 + -3) <= (18 % 10)))) or ((火星是距离太阳第4近的行星。) or (新西兰的货币是比索。)) or (((20大于98。) and (苏联解体发生在1992年。)) or ((尼日利亚的货币是奈拉。) or (第二次世界大战结束发生在1935年。))))) or (not not ((((中国长城是在一年内建成的。) or (匈牙利的货币是卢布。)) or ((印度尼西亚位于南极洲。) or ((1 ** 1) <= (-5 * -6 * 3 * ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 14414261,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (not not ((((油在常温下是气体。) or (881是斐波那契数。)) and ((金鱼是爬行动物。) and (... |
logic-v2 | 给定以下布尔表达式：
A. not not (二氧化碳在常温下是气体。)
B. (83是质数。) or (not ((10 - 10) >= (-16 * -15)))
C. not (not (22能被3整除。))
选出所有值为 True 的选项。在 \boxed{} 中以逗号分隔的形式给出答案。 | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 23351258,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. not not (二氧化碳在常温下是气体。)\nB. (83是质数。) or (not ((10 - 10) >= (-16 *... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((not (以色列的货币是印尼盾。)) or ((金在常温下是固体。) and (现代奥运会首届举办发生在1886年。))) and ((101是奇数。) and (哥伦布到达美洲发生在1492年。)) and (伦敦大火发生在1666年。))
B. (not (以色列的货币是里亚尔。)) or (((土星是距离太阳第6近的行星。) or ((0 - 20) < (8 * -8 - 2 * 6))) and ((not ((-15 * -7) <= (14 + -2))) and (水星是距离太阳第1近的行星。)))
C. ((not ((1 * -10 - -10 * -1) <... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 99343986,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not not (((not (以色列的货币是印尼盾。)) or ((金在常温下是固体。) and (现代奥运会首届举... |
logic-v2 | 检验这些表达式：
A. (((尼日利亚的货币是奈拉。) or (钴的化学符号是Co。)) and (not (第一部iPhone发布发生在2007年。))) or (((8 * 1 - 10 * -9) < (17 + -9)) or (not (闪电不会两次击中同一个地方。)))
B. not (((鸟有0条腿。) or ((9 * -5 * -4 * -9) <= (-7 - -4))) or (not ((-7 * 8 + 2 * 6) > (-2 * -8 - -2 * 7))))
C. not (((1964年奥运会在东京举办。) or (企鹅能飞翔。)) or ((5 - -7) < (1 * 7 - 6 * -1))... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 50790833,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (((尼日利亚的货币是奈拉。) or (钴的化学符号是Co。)) and (not (第一部iPhone发布发生在2007年。)... |
logic-v2 | 下面是几个布尔表达式：
A. (16 - -2) >= (0 * -10 + 4 * -7)
B. (((-20 * 4) >= (3 + -11)) or ((-15 - 13) <= (8 + -17))) or (((-17 - -16) != (-17 - 11)) or ((2 + 3) > (0 * 3 + 2 * -5)))
C. 蜘蛛是昆虫。
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 57202079,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (16 - -2) >= (0 * -10 + 4 * -7)\nB. (((-20 * 4) >= (3 + -11)) o... |
logic-v2 | 研究以下逻辑语句：
A. 现代奥运会首届举办发生在1896年。
B. (-10 * 4 - 3 * -10) < (-2 - -16)
C. (((-5 * 13) == (9 * 8 - 5 * -5)) or (人类首次登月发生在1968年。)) or ((金在常温下是固体。) or (波兰的货币是兹罗提。))
D. not not (not (1992年奥运会在巴塞罗那举办。))
E. (5 * 9 + -2 * 6) != (5 + 11)
F. (not ((3 ** 2) >= (-6 * -15))) or (not ((0 * -10) < (-14 * 12)))
G. ((2小于等于57。) and (新西兰的... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 9763651,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. 现代奥运会首届举办发生在1896年。\nB. (-10 * 4 - 3 * -10) < (-2 - -16)\nC. ... |
logic-v2 | 给定以下布尔表达式：
A. (not ((not (1936年奥运会在柏林举办。)) or (韩国的货币是韩元。))) and ((((19 + -15) > (-5 - 4)) or (((-14 + -7) <= (-9 * -8 - 9 * -7)) or (土耳其的首都是布鲁塞尔。))) or ((铝的化学符号是U。) or ((火星是距离太阳第5近的行星。) and (地球上一天是24小时。))))
B. (((not (韩国的货币是韩元。)) and (月球自己发光。)) or (((13 - -14) > (4 % 1)) or ((0 * -5 * -3 * -7) >= (7 * -8 - -3 * 1))) o... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 41803715,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not ((not (1936年奥运会在柏林举办。)) or (韩国的货币是韩元。))) and ((((19 + -15) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not not (((The currency of Indonesia is the Rupiah.) or ((A bat is a mammal.) and (The 1912 Olympics were held in Stockholm.))) or (((0 * 5) <= (4 ** 3)) and ((The currency of Sweden is the Shekel.) or ((14 * 6) <= (1 + -2) <= (-10 *... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 37892576,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 审视以下逻辑表达式：
A. ((奥地利的首都是波哥大。) and (肯尼亚位于非洲。)) or ((水星是距离太阳第1近的行星。) and (1908年奥运会在伦敦举办。))
B. not ((1958年是闰年。) or (2012年奥运会在伦敦举办。))
C. (((-16 * 3) <= (10 % 7) <= (50 % 5)) or (埃及位于非洲。)) or ((蜥蜴是爬行动物。) and (八月有31天。))
D. (not (苏联解体发生在1991年。)) and ((0 * -7 * -7 * 1) < (-4 - 0) < (4 * 3))
E. 柏林墙倒塌发生在1989年。
哪些表达式为真？在 \boxed{... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 89636395,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((奥地利的首都是波哥大。) and (肯尼亚位于非洲。)) or ((水星是距离太阳第1近的行星。) and (1908年... |
logic-v2 | 给定以下布尔表达式：
A. (((not not (哥伦布到达美洲发生在1492年。)) and ((1920年奥运会在巴黎举办。) or ((二氧化碳在常温下是液体。) or (越南的货币是越南盾。)))) and ((2016年奥运会在里约热内卢举办。) and (摩洛哥的首都是新德里。) and ((0 - 3) != (4 - 18)))) and ((not not (not (not not (铝的化学符号是Al。)))) or ((not ((蚂蚁是昆虫。) or ((-9 * -5 * 5 * -3) != (8 - -14)))) and ((火星是距离太阳第7近的行星。) and (((8 * 12) > (3... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 62804811,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (((not not (哥伦布到达美洲发生在1492年。)) and ((1920年奥运会在巴黎举办。) or ((二氧化碳在常温下... |
logic-v2 | 研究以下逻辑语句：
A. (-17 * 19) > (-6 + -10)
B. 火星是距离太阳第2近的行星。
C. 人类每只手有五个手指。
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 24916686,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (-17 * 19) > (-6 + -10)\nB. 火星是距离太阳第2近的行星。\nC. 人类每只手有五个手指。\n\n哪些语句为... |
logic-v2 | 研究以下逻辑语句：
A. not not (金星是距离太阳第2近的行星。)
B. ((水星是距离太阳第4近的行星。) or ((1 ** 2) == (4 * 1 - 1 * 9))) and (金的化学符号是Au。)
C. (((9的平方根是1。) or ((2 * -6) != (16 + -18))) and (((9 * 6 + 6 * 6) == (3 - -3)) and (光速比声速快。))) or ((16 * -2) >= (-14 - -5))
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 79414396,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not not (金星是距离太阳第2近的行星。)\nB. ((水星是距离太阳第4近的行星。) or ((1 ** 2) == (4 *... |
logic-v2 | 下面是几个布尔表达式：
A. 1988年奥运会在首尔举办。
B. (((4 * 4) <= (7 * 6 + 6 * 1)) or (瑞典的货币是克朗。)) and (银的化学符号是Ne。)
C. (((-12 * -7) <= (-14 + 4)) or ((1 + -7) == (41 % 8))) and ((1 + 16) <= (-7 * -10))
D. not not (not not ((-9 * 10 + -3 * -1) >= (20 * -9)))
E. ((-9 * -4) < (9 * -3 * 2 * 9) < (-6 - 20)) and ((1995年是闰年。) and (波兰的货币是瑞士法郎。))... | {
"game_data": {
"answer": "A,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 31486229,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. 1988年奥运会在首尔举办。\nB. (((4 * 4) <= (7 * 6 + 6 * 1)) or (瑞典的货币是... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not ((-20 - -1) > (20 * -4))
B. ((((4 ** 2) < (6 * 11)) or ((14 % 9) == (-4 + 4))) and ((芬兰的首都是马德里。) or ((-19 - 13) <= (-15 - 18)))) or ((埃及的货币是卢布。) or ((31 % 3) == (26 % 6)))
C. not not (((铝的化学符号是Al。) and ((2 * -7 - 7 * -5) < (20 * -2))) or (not ((-9 - 20) > (2 * 8 - 9 * 10))))
D. not (not no... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 36692920,
"true_count": 3
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not ((-20 - -1) > (20 * -4))\nB. ((((4 ** 2) < (6 *... |
logic-v2 | 评估以下每个表达式：
A. 变色龙是爬行动物。
B. (not not ((-14 - -15) < (3 * -4) < (-1 * 5 - 1 * -8))) and (not not ((1 ** 3) > (-1 + -1)))
C. (not not ((42 % 7) == (-19 + -4))) and (((-7 * -7) < (10 * -15) < (-20 + 7)) or ((48 % 5) < (-3 * 10 * -3 * 8)))
D. (3 + 6) <= (18 + 19)
E. 印度尼西亚位于亚洲。
F. (not not ((-13 * 12) > (4 ** 2))) or ((1 - ... | {
"game_data": {
"answer": "A,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 53308353,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. 变色龙是爬行动物。\nB. (not not ((-14 - -15) < (3 * -4) < (-1 * 5 - 1... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (((378是完全平方数。) and (鬣蜥是爬行动物。)) and ((智利位于南美洲。) and ((-1 + -12) > (18 + 7))))
B. ((巴西的货币是比索。) and (氦气在常温下是气体。)) and (((二月有29天。) and ((17 + -5) > (21 % 10))) or ((17 + -3) >= (5 - 9)))
C. (((木头在常温下是固体。) or ((-6 * -5 * 8 * 8) <= (3 - -2))) and ((1984年奥运会在洛杉矶举办。) and (印度尼西亚的货币是印尼盾。))) and (not (((1... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 17440266,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (((378是完全平方数。) and (鬣蜥是爬行动物。)) and ((智利位于南美洲。) and ((-1 ... |
logic-v2 | 检验这些表达式：
A. (((鸡是鸟类。) and ((1988年奥运会在圣路易斯举办。) or (1964年奥运会在伦敦举办。))) and (天王星是距离太阳第7近的行星。)) or (大象有2条腿。) or (not not (((20 % 5) == (5 ** 2)) and ((意大利位于欧洲。) or (泰坦尼克号沉没发生在1914年。))))
B. not not (((螃蟹有10条腿。) or (not ((-15 - -12) < (-1 * -4 - 8 * -4) < (2 ** 1)))) and (((氮的化学符号是N。) and ((0 * -1) > (3 * -9))) and ((七月有31天。... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 84293707,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (((鸡是鸟类。) and ((1988年奥运会在圣路易斯举办。) or (1964年奥运会在伦敦举办。))) and (天... |
logic-v2 | 检验这些表达式：
A. (((((16 - -4) < (-9 * 9)) and (23能被11整除。)) or ((-20 * 17) < (8 - 19) < (-6 - -3))) or (((((13 - -8) == (13 * -13)) and ((2 ** 2) == (-5 + 5))) and (((9 + -4) != (-17 - 12)) or ((-10 * -9 * -5 * -2) < (-4 * -7 * -9 * -6) < (10 - 5)))) and (not not ((15能被9整除。) or (九月有30天。))))) and (not not ((((24 % 3) == (-1... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 70121284,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (((((16 - -4) < (-9 * 9)) and (23能被11整除。)) or ((-20 * 17) < (8 -... |
logic-v2 | 下面是几个布尔表达式：
A. (-4 + 18) <= (-17 - 7)
B. (4 ** 1) >= (1 % 2)
C. (((-9 * 8 - -7 * -2) > (5 * 1 - 10 * -6)) or ((-10 - -10) >= (9 * 7))) and (not (氯的化学符号是Cl。))
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 78717652,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (-4 + 18) <= (-17 - 7)\nB. (4 ** 1) >= (1 % 2)\nC. (((-9 * 8 - -7... |
logic-v2 | 研究以下逻辑语句：
A. (土星是距离太阳第6近的行星。) or (((葡萄牙的首都是东京。) or (2024年奥运会在巴黎举办。)) and (第二次世界大战结束发生在1945年。))
B. not not (((智利的货币是里拉。) or ((-8 * -9) > (30 % 5))) and (第一部iPhone发布发生在2007年。))
C. not ((not not (钾的化学符号是K。)) or (((9 * 7 + 2 * 6) != (5 ** 1)) or ((-5 * -4 - -9 * -9) == (7 * 9 - 8 * 2))))
D. (((325是完全平方数。) and (1928年奥运会在阿姆... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 94073217,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (土星是距离太阳第6近的行星。) or (((葡萄牙的首都是东京。) or (2024年奥运会在巴黎举办。)) and (第二次世... |
logic-v2 | 考虑以下布尔表达式：
A. 68是质数。
B. ((1928年奥运会在阿姆斯特丹举办。) or (人类首次登月发生在1969年。)) and (not ((9 - -5) <= (-8 + -20)))
C. (((47 % 7) == (12 * -4)) and (巴西位于南美洲。)) and (((-7 - -17) < (20 % 4) < (-7 + -19)) and (现代奥运会首届举办发生在1886年。))
D. ((3 ** 2) <= (3 - 13) <= (3 ** 2)) or (中国位于亚洲。)
E. (3 * -6 + 0 * -8) <= (19 + -8)
F. ((蚂蚁是爬行动物。) and (... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 19258339,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. 68是质数。\nB. ((1928年奥运会在阿姆斯特丹举办。) or (人类首次登月发生在1969年。)) and (not... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (-6 * 10 - 3 * 10) == (10 * 6 + -10 * -7)
B. The 1932 Olympics were held in Montreal.
C. (4 * 17) >= (-8 * -11)
D. not not (((4 * -3 + 1 * 1) <= (39 % 4) <= (3 ** 1)) and (Neptune is the 8th planet from the Sun.))
Find all expressions that are True. Answer in \boxed{}... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 44024787,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (-6 * 10 - 3 * 10) == (10 * 6 ... |
logic-v2 | 给定以下布尔表达式：
A. (15 - 13) != (14 * 15)
B. (((3 - -19) < (-5 + 19) < (15 + 19)) and ((3 ** 3) <= (20 - 7))) or (((6 * 11) == (0 * 5 - 8 * 8)) and ((-19 * 13) <= (-4 * 7 - -7 * -8)))
C. ((1976年奥运会在巴黎举办。) and (日本的首都是东京。)) and ((地球绕太阳运转。) or ((-16 + 0) > (-14 * -3)))
D. ((-20 * 3) > (8 + 17)) and (((41 % 4) <= (13 * 19) <= ... | {
"game_data": {
"answer": "A,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 79755817,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. (15 - 13) != (14 * 15)\nB. (((3 - -19) < (-5 + 19) < (15 +... |
logic-v2 | 研究以下逻辑语句：
A. 天王星是距离太阳第2近的行星。
B. (15 + -18) <= (18 - -10) <= (5 ** 3)
C. ((8 * 2 * 8 * -5) >= (-3 - -18)) or (((-12 * 10) != (21 % 4)) and ((9 + 19) <= (-4 * -6 * -3 * 10)))
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 78948999,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. 天王星是距离太阳第2近的行星。\nB. (15 + -18) <= (18 - -10) <= (5 ** 3)\nC. ((8 * ... |
logic-v2 | Below are several boolean expressions:
A. (not not (not (((12 * -12) > (-20 + 3)) and (256 is a perfect square.)))) and ((((4 ** 2) == (-10 - -14)) or ((46 % 8) != (3 ** 2))) and ((The 2024 Olympics were held in Paris.) and ((-13 - 14) >= (-1 * -12)))) and ((not not ((9 + -19) < (5 * 2 - -10 * -5))) or ((-5 + 12) < (8... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 81643178,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (not not (not (((12 * -12) > (-20 + 3)... |
logic-v2 | Study the following logical statements:
A. (not ((The Great Wall of China was built in one year.) and (not not (((5 * -1 * 4 * 9) < (18 * 9)) or (The currency of Saudi Arabia is the Krone.))))) or ((not (not ((The currency of Saudi Arabia is the Rupiah.) or ((-7 * -3) == (10 * -7 + -7 * -5))))) and (not ((5 * -15) == ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 28546767,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not ((The Great Wall of China was ... |
logic-v2 | Review these logical expressions:
A. (-2 * -1) == (13 * 3)
B. not (The currency of Colombia is the Peso.)
C. A day on Earth is 24 hours.
D. (The 1960 Olympics were held in Beijing.) or (((4 ** 2) < (14 * -18)) and ((-8 * -4 - 7 * -7) > (-15 + -12)))
E. ((19 * -17) >= (43 % 5)) and (not ((-14 + -5) != (-5 - 9)))
Which... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 75801833,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. (-2 * -1) == (13 * 3)\nB. not (The currency... |
logic-v2 | 研究以下逻辑语句：
A. ((((-6 * -3 - -3 * -5) > (-15 - -8)) and (铜的化学符号是Cu。)) or ((not not ((海王星是距离太阳第2近的行星。) or ((-16 + -20) <= (-9 * -8 * -2 * -9) <= (-11 - -4)))) and (((钠的化学符号是Cu。) or ((5 - -9) < (20 - 9))) and (锌的化学符号是Ne。)))) or ((((not not ((14 + 7) == (7 * -3 * 1 * 0))) or (蛇是爬行动物。)) and ((not (泰国位于大洋洲。)) and (not ((2 **... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 97170383,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. ((((-6 * -3 - -3 * -5) > (-15 - -8)) and (铜的化学符号是Cu。)) or ((not n... |
logic-v2 | 分析以下逻辑表达式：
A. (-10 * 1 - 3 * -7) >= (7 - -4)
B. not not (((17 % 7) < (15 % 8)) and (地球是距离太阳第3近的行星。))
C. ((摩洛哥的首都是拉巴特。) and ((-9 - -6) >= (1 - -5))) or (印度尼西亚位于非洲。)
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 68331193,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (-10 * 1 - 3 * -7) >= (7 - -4)\nB. not not (((17 % 7) < (15 % 8)... |
logic-v2 | 分析以下逻辑表达式：
A. ((21 % 4) > (9 * -1 * 9 * -5)) or (人类有三个肺。)
B. ((7 * -7 * -6 * -8) < (-12 * 7)) or (((五月有31天。) and ((11 + -3) > (4 * 2))) or ((猪是哺乳动物。) or ((5 ** 1) >= (15 % 8))))
C. (((瑞典的货币是克朗。) or ((4 * 7) >= (0 * -19))) and ((14 - -10) > (-12 - 5))) or (荷兰的首都是拉巴特。)
D. (((十二月有29天。) or ((3 * 7 + 7 * -5) >= (3 ** 1))) ... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 53789454,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. ((21 % 4) > (9 * -1 * 9 * -5)) or (人类有三个肺。)\nB. ((7 * -7 * -6 ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((13 % 10) != (6 * 7 * -2 * -7)) and ((-19 * -14) > (-13 * 5))) or (99是偶数。)
B. not (not (氧的化学符号是O。))
C. (not not (古巴的首都是波哥大。)) and (not not (氧的化学符号是O。))
D. (((-15 + 10) <= (-10 + -8)) and (人类有三个肺。)) or (not ((4 ** 2) == (4 * 3 + -7 * -2)))
E. not not (((15 * 9) == (-2 * -9 * 3 * -7)) or (秘鲁位于南美洲。)... | {
"game_data": {
"answer": "A,B,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 8818093,
"true_count": 6
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((13 % 10) != (6 * 7 * -2 * -7)) and ((-19 * -14) ... |
logic-v2 | 分析以下逻辑表达式：
A. (((not ((-17 + 14) != (-3 + -13))) or (not not (((-5 * 15) <= (18 - -11)) and (西班牙位于欧洲。)))) and ((((-17 - -7) <= (42 % 3)) or ((氖的化学符号是Ne。) or (铜在常温下是固体。))) or (not not ((4 ** 3) < (-8 * 1 * -5 * 2))))) or (((((-11 * 6) >= (4 ** 3)) or ((-14 * -17) == (9 % 9))) or (not not ((-19 + 8) <= (2 ** 3)))) and (... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 65868636,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (((not ((-17 + 14) != (-3 + -13))) or (not not (((-5 * 15) <= (1... |
logic-v2 | Evaluate each expression below:
A. not not ((not not ((The currency of China is the Franc.) and ((20 * -7) > (-10 * 8 * 9 * 2)))) and (((A ladybug is a fish.) or (A cat has 4 legs.)) and (((12 * 16) <= (8 + 4) <= (6 * 12)) and (The 1908 Olympics were held in Montreal.))))
B. (((((12 + -11) == (1 % 1)) and (The chemica... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 11365531,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not not ((not not ((The currency of China... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((-1 + -19) <= (-20 * 11)) or (not not (((-8 * 5 - 5 * -7) != (-19 * -7)) and (泰坦尼克号沉没发生在1912年。)))
B. ((not ((14 % 1) < (12 - -7))) or ((汞的化学符号是Hg。) and (空气在常温下是气体。))) or ((((-13 - 11) >= (8 % 6)) or ((14 * 18) >= (4 * 6 + -10 * 3))) and (((18 + 2) != (47 % 2)) and ((4 ** 2) < (5 ** 2))))
C. (... | {
"game_data": {
"answer": "A,B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 36180936,
"true_count": 6
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((-1 + -19) <= (-20 * 11)) or (not not (((-8 ... |
logic-v2 | Evaluate each expression below:
A. ((5 * 6 * -10 * 9) != (19 % 4)) or (not not ((-6 + 10) < (-2 * 9 + -9 * -6)))
B. (not not ((-13 - -5) >= (-14 * -15))) and (The currency of Poland is the Zloty.)
C. ((-12 - 3) <= (-5 - 1) <= (1 * 20)) or ((3 * 15) < (1 ** 1))
D. not ((35 is an even number.) or (Spiders are insects.))... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 72656234,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. ((5 * 6 * -10 * 9) != (19 % 4)) or (not... |
logic-v2 | 考虑以下布尔表达式：
A. (1924年奥运会在巴黎举办。) and (not (西班牙位于欧洲。))
B. not ((钛的化学符号是Ti。) or ((10 * 8) >= (2 * 1)))
C. not not (人体有206块骨头。)
D. ((八月有28天。) or ((5 ** 3) != (5 ** 2))) and (not not (韩国位于北美洲。))
E. ((-13 * -2) < (20 * -2) < (4 * 19)) and (not not (印度尼西亚的货币是欧元。))
F. (not not ((9 - 4) < (1 + -9) < (14 + 2))) and (火星是距离太阳第5近的行... | {
"game_data": {
"answer": "C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 81378837,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. (1924年奥运会在巴黎举办。) and (not (西班牙位于欧洲。))\nB. not ((钛的化学符号是Ti。) or (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((((15 - 5) <= (3 - -3)) and ((not not (天王星是距离太阳第7近的行星。)) or (not not (韩国的首都是首尔。)))) and ((((韩国的货币是韩元。) and (中国位于亚洲。)) or ((人类有0条腿。) or (人体有206块骨头。))) or ((not ((2 * 15) != (4 - 2))) and (not ((-10 * 9 + -10 * -8) <= (29 % 9)))))) or ((not (意大利位于欧洲。)) or ((82是奇数。) and (南极洲是最冷的大陆。)))) and (not... | {
"game_data": {
"answer": "C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 27286518,
"true_count": 5
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (((((15 - 5) <= (3 - -3)) and ((not not (天王星是距离... |
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