env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((((243 is a perfect square.) and (The 1964 Olympics were held in Moscow.) and ((((4 ** 1) >= (9 * 7)) or (The currency of Saudi Arabia is the Ruble.)) and (The chemical symbol for Iron is Pb.))) or ((not (There are 31 days in October.)) and ((7 - 10) < (-7 + 1... | {
"game_data": {
"answer": "C,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 15506165,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((((243 is a perfe... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (The Earth revolves around the Sun.)
B. ((((16 % 9) > (-2 * 9 * 0 * -7)) or ((10 - 14) < (-10 - 4) < (-13 + -12))) or (not ((20 * -6) >= (-18 + 0)))) or (not (((50 % 6) < (2 ** 1)) and (The chemical symbol for Neon is Ne.)))
C. not (n... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 56284558,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Below are several boolean expressions:
A. (not (not not ((((Japan is in Africa.) and (191 is an even number.)) and ((The Titanic sank occurred in 1912.) or ((2 ** 2) >= (37 % 4)))) or (Penguins can fly.)))) and (not not (not ((Indonesia is in Asia.) or (((5 + -17) == (-16 * 13)) and (21 is less than or equal to 78.)))... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 56581571,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not (not not ((((Japan is in Afri... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not ((not not (((-5 - 9) == (-17 - -17)) and (not (The currency of India is the Rupee.)))) and (2018 is a leap year.) and ((((A human has 2 legs.) or (There are 30 days in April.)) or ((Alcohol is a liquid at room temperature.) or (India is in Africa.))) and (... | {
"game_data": {
"answer": "A,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 13582550,
"true_count": 6
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not ((not n... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((((11 + 10) > (-11 * 18)) or ((19 - 12) == (-18 * -6))) and (not not (not not (The 1968 Olympics were held in Mexico City.)))) or ((not not ((127 is a perfect square.) and (((7 % 10) <= (-13 * 12)) and ((2 ** 3) != (-7 - -6))))) or (not ((((3 * 3 + 0 * 7) == (-1 * -4 ... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 85256184,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((((11 + 10) > (-11 * 18))... |
logic-v2 | 评估以下每个表达式：
A. (not not (not (((尼日利亚位于非洲。) and (金星是距离太阳第2近的行星。)) or (not not ((-12 - 0) != (-1 * 0 * 8 * 8)))))) and ((196的平方根是15。) and ((-20 * -7) <= (6 % 5))) and (((((95是奇数。) or ((-6 - -3) < (-13 * -4) < (5 - 5))) and (马来西亚的首都是莫斯科。)) or ((((-3 * 15) <= (18 + 12)) or ((5 * -8 + -7 * -2) < (9 + 9))) or (((-6 * -2 - -6... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 69542035,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not not (not (((尼日利亚位于非洲。) and (金星是距离太阳第2近的行星。)) or (not not ... |
logic-v2 | 研究以下逻辑语句：
A. not not ((not ((not not (((14 - -19) >= (11 + 9)) and ((-5 - -12) == (-9 * 6 + 3 * -9)))) or (((17 + -3) > (6 * -8 * -8 * -2)) and (((2 ** 1) < (9 * 0 + 0 * 1)) or ((-1 * 2 * 0 * -5) >= (15 * -19)))))) and (not (not not ((4 % 3) < (-6 * -8) < (6 * 3)))) and (((not not (((4 ** 2) == (0 + 18)) or (印度尼西亚的货币是... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 23134166,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not not ((not ((not not (((14 - -19) >= (11 + 9)) and ((-5 - -12)... |
logic-v2 | Evaluate each expression below:
A. not (not ((A swan is a bird.) and (((2 * 5) < (-8 * -7 + -7 * -2)) or (The square root of 196 is 14.)) and (not ((2061 is a leap year.) or (The chemical symbol for Potassium is K.)))))
B. not not ((((not not ((2 * 4 * 1 * -1) < (-8 * -7 + -4 * -4))) and (((-10 + -9) > (-6 * -6 - -6 *... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 6738731,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not (not ((A swan is a bird.) and (((2 * 5) < ... |
logic-v2 | 检验这些表达式：
A. not not (not not ((人类只使用了大脑的10%。) or (月球绕地球运转。)))
B. (((15 - -6) != (-18 * 3)) and (((1 ** 2) < (-19 + -18)) or (镁的化学符号是Co。))) or ((((1 ** 3) < (1 ** 2) < (2 * -10)) or (印度尼西亚的首都是哈瓦那。)) and (not not ((4 * 3 + 1 * -3) >= (6 * 8))))
C. ((not not (铜在常温下是气体。)) and (((-5 * -7 - -8 * -5) <= (4 * -19)) and ((-10 ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 50394840,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not (not not ((人类只使用了大脑的10%。) or (月球绕地球运转。)))\nB. (((15 - -6) !=... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (((((The chemical symbol for Hydrogen is Ni.) or ((0 * -9 - 5 * 9) >= (7 * 10 - -9 * -4))) or (not ((11 + 14) != (20 + -13)))) or (((((0 * -4 + -7 * -9) <= (-5 * -9 * -10 * 4) <= (35 % 4)) or ((37 % 4) > (-3 - 17))) and (A octopus has 6 legs.)) and (not not (Earth ... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 67582747,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (((((The chemical sy... |
logic-v2 | 下面是几个布尔表达式：
A. ((-6 * 17) < (19 - 4)) and (not ((2 * -8 * -1 * 6) >= (0 * 5)))
B. 尼日利亚位于非洲。
C. (-8 * 8 + -4 * -3) != (-15 + -16)
D. not not (not (英国的货币是英镑。))
E. (not ((-3 * 1) >= (19 * -5))) and ((10 * -8 + 6 * 10) <= (-19 - -8))
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,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 95601315,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. ((-6 * 17) < (19 - 4)) and (not ((2 * -8 * -1 * 6) >= (0 * 5)))... |
logic-v2 | Analyze these boolean expressions:
A. ((not (The capital of Denmark is Brasilia.)) or (not (The square root of 196 is 5.))) and (not not (not not ((((-4 + -12) >= (-9 * 10 + -3 * -5)) or ((-6 + -5) < (35 % 10))) and ((Steam is a gas at room temperature.) or (A mouse is an insect.)))))
B. (not not (not not ((There are ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 12436495,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((not (The capital of Denmark is Brasi... |
logic-v2 | Given the following boolean expressions:
A. not (not not ((not (A beetle is an insect.)) and ((not not (The Titanic sank occurred in 1912.)) or ((6 * 10) >= (16 * 9)))))
B. not not ((not (not (The 1980 Olympics were held in Los Angeles.))) or (not not (((((-9 * 7 + 9 * -10) < (3 * -1 - -7 * 6)) and ((-12 + -4) <= (2 -... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 20675056,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not (not not ((not (A beetle is ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((not not (The capital of Japan is Tokyo.)) and (((2001 is a leap year.) and (not ((-12 - -9) > (4 + 2)))) and (((The capital of Nigeria is Abuja.) and (Mexico is in North America.)) and ((-19 * 20) <= (-3 * 10 + -9 * -9) <= (3 + 8)))... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 97771590,
"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. The speed of light is approximately 300,000 km/s.
B. not ((((not not (The 1912 Olympics were held in Los Angeles.)) or (((-13 * -1) > (17 - -10)) and (not ((-20 + -8) <= (31 % 6))))) or ((There are 29 days in November.) and (The capital of Finland is Helsinki.) and (((Oil is a solid ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 8072464,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. The speed of light is approximately 300,000 km... |
logic-v2 | 给定以下布尔表达式：
A. ((not not (((36的平方根是6。) or (中国长城是在一年内建成的。)) or ((二月有28天。) and ((-1 + -13) != (-2 - -11))))) or ((智利位于非洲。) or (not ((-14 - -9) >= (-16 + 2))) or ((not not (阿根廷的货币是瑞士法郎。)) or ((美国位于北美洲。) or ((-5 - -14) >= (20 + -19)))))) and (not (((19 - 8) < (20 + 7)) and (((6 + -1) >= (4 * -10 * 3 * 9)) or (镁的化学符号是Mg。)) ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 57550304,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((not not (((36的平方根是6。) or (中国长城是在一年内建成的。)) or ((二月有28天。) and ((... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not ((not (A human has 0 legs.)) and ((((A bat is a mammal.) and ((43 % 7) <= (4 * -5) <= (7 % 5))) and (90 is a prime number.)) or ((((-5 * 1 * 1 * -2) == (6 * 8)) or (India is in Oceania.)) and (not not ((-4 * 0 * 5 * -2) == (19 * -1)))))))
B. not (not n... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 15035444,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not ((not (A hu... |
logic-v2 | 分析以下逻辑表达式：
A. (((not ((中国位于亚洲。) and ((3 * -5 * -5 * 9) != (-3 + 5)))) and (莱特兄弟首次飞行发生在1903年。)) and (not not (not not (((4 * 4) <= (2 ** 1)) and (十二月有31天。))))) or ((not not (火星是距离太阳最近的行星。)) and ((6 * 8 + -8 * 1) <= (12 + 0))) or ((((-8 * -1 * 3 * -2) < (-5 + 18)) or (哥伦布到达美洲发生在1502年。) or (not not (((16 * 5) <= (4 ** 2)... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 94301255,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (((not ((中国位于亚洲。) and ((3 * -5 * -5 * 9) != (-3 + 5)))) and (莱... |
logic-v2 | 考虑以下布尔表达式：
A. (not not (((铜在常温下是液体。) or (阿根廷位于南美洲。)) or ((1908年奥运会在巴黎举办。) and (1932年奥运会在洛杉矶举办。)))) or (not not (not ((-16 * -8) == (0 * 1 - -1 * -9)))) or (not (锰的化学符号是Cl。))
B. (((摩洛哥位于非洲。) or (鲸鱼是鱼类。)) or (((马来西亚的货币是越南盾。) or (24小于等于65。)) and (((-5 * -1 - 9 * -6) > (4 * -9 - 4 * -9)) or ((-16 * 3) <= (0 - 14))))) and ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 72780437,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not not (((铜在常温下是液体。) or (阿根廷位于南美洲。)) or ((1908年奥运会在巴黎举办。) an... |
logic-v2 | 研究以下逻辑语句：
A. 埃及的货币是人民币。
B. (((0 * 6 * -3 * 0) < (-5 * 16)) and ((4 ** 2) != (19 + 7))) or (not ((4 ** 3) <= (9 * 3 + -1 * 3)))
C. ((372是完全平方数。) and (1972年奥运会在慕尼黑举办。)) and ((氢的化学符号是O。) or (太阳绕地球运转。))
D. (2 * 6 - 2 * -8) == (-4 * 10 * 8 * 7)
E. (((-8 * 4) < (-5 * 10 * 9 * 7)) or ((-4 - 0) <= (9 * -8 - -3 * 2))) and (柏林墙... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 39620308,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. 埃及的货币是人民币。\nB. (((0 * 6 * -3 * 0) < (-5 * 16)) and ((4 ** 2) != (19... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (-20 * -11) < (-19 - -2)
B. not (Uranus is the 7th planet from the Sun.)
C. The currency of United States is the Dollar.
D. ((United States is in Europe.) or (The capital of Ireland is Vienna.)) or (((6 * -1 + -4 * 3) == (-1 * -1 * -10 * ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 95421655,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Examine these expressions:
A. not not (not ((World War I began occurred in 1914.) and (India is in North America.)))
B. (not not (The human body has 150 bones.)) and (((15 is a prime number.) or ((20 % 9) == (-20 - -16))) or (not not ((-11 - -8) != (-16 + -11))))
C. (not not (The capital of Colombia is Bogota.)) or ((... | {
"game_data": {
"answer": "A,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 74352785,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. not not (not ((World War I began occurred ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((The chemical symbol for Potassium is K.) or ((5 - 0) >= (2 * -4 + -6 * 4))) and (not not ((16 * 18) < (13 - -18)))
B. (((-11 + -1) > (-1 * 3 + -3 * 8)) and ((4 * 11) <= (-16 + -16) <= (-1 + -2))) or ((The currency of Israel is the Pound... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 80996344,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Study the following logical statements:
A. (Earth is the 4th planet from the Sun.) or (A ant has 6 legs.) or ((not (Venus is the 2nd planet from the Sun.)) and (Thailand is in Europe.))
B. (((5 * 7 * -10 * 0) < (17 - -8)) and (The chemical symbol for Silver is P.)) and ((Diamonds are made of carbon.) or ((3 * -10 + 10... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 86010155,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (Earth is the 4th planet from the... |
logic-v2 | Review these logical expressions:
A. not (not (((-12 - -19) <= (-11 - -16) <= (-4 * 8 * -2 * -1)) or ((The 2008 Olympics were held in Beijing.) and ((20 * -7) >= (2 + -20)))))
B. ((((16 * 8) <= (-10 * -1 * -5 * 10)) or (((-7 - 11) < (-14 * 17)) and (Venus is the 2nd planet from the Sun.))) and ((((1 ** 1) <= (-7 * 8 -... | {
"game_data": {
"answer": "F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 89680501,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not (not (((-12 - -19) <= (-11 - -16) <= ... |
logic-v2 | 给定以下布尔表达式：
A. not not ((((not (not not ((-3 - -7) > (46 % 2)))) or (羊是哺乳动物。)) or ((not ((五月有31天。) or (法国的首都是巴黎。))) or ((-16 - -5) <= (7 * -12)))) or (((not (74能被11整除。)) and (not not (not ((8 * 6 + 1 * 1) < (-8 * 15) < (12 + -1))))) and ((not not (地球是距离太阳第3近的行星。)) and ((not (现代奥运会首届举办发生在1896年。)) and (第一次世界大战开始发生在1924年。... | {
"game_data": {
"answer": "A,B,C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 83418421,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. not not ((((not (not not ((-3 - -7) > (46 % 2)))) or (羊是哺乳... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (The Pacific Ocean is the largest ocean.) or ((3 ** 3) == (7 * 6 + 2 * -9)) or (30 is a prime number.)
B. ((not not (The chemical symbol for Tin is Sn.)) or ((-14 - 13) != (-2 * 5))) or (A lobster has 10 legs.)
C. not ((3 * 6) >= (10 * 7 ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 93853679,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not ((新加坡的首都是新加坡。) or (考拉是鱼类。))
B. (1932年奥运会在洛杉矶举办。) and (not not ((1900年奥运会在墨西哥城举办。) or (钻石在常温下是固体。)))
C. (金在常温下是液体。) and (月球自己发光。)
D. not (not not (not ((-11 + -7) >= (-3 * 2 + -10 * -1))))
E. not (not (not not ((20 * -5) == (-14 + -11))))
F. not (((-12 * 10) != (8 * -2)) and (美国宣布独立发生在1775年... | {
"game_data": {
"answer": "B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 56686258,
"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 ((新加坡的首都是新加坡。) or (考拉是鱼类。))\nB. (1932年奥运会在洛杉矶举办... |
logic-v2 | Study the following logical statements:
A. not (not (((20 * -19) == (20 - 16)) and ((10 + 1) == (-9 + 5))))
B. (not (not (Gold is a solid at room temperature.))) or ((((-20 - -7) < (2 ** 1) < (15 * -5)) and (Gold is a solid at room temperature.)) or (The capital of Russia is Madrid.))
C. not not (not (not not (Neptune... | {
"game_data": {
"answer": "B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 6491085,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not (not (((20 * -19) == (20 - 1... |
logic-v2 | Given the following boolean expressions:
A. not not ((not not ((Earth is the 3rd planet from the Sun.) or ((The 1904 Olympics were held in Paris.) or (78 is a prime number.)) or ((((0 * 6 * 4 * -9) < (47 % 6)) or ((-11 * 5) == (1 ** 2))) or (not not ((15 + -13) == (-15 * -12)))))) and ((Humans have five fingers on eac... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 52511847,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not not ((not not ((Earth is the 3rd... |
logic-v2 | Given the following boolean expressions:
A. not ((not (not not (((2073 is a leap year.) and ((0 + 7) < (6 * -5 - 2 * 7))) and ((15 - -20) == (4 - -6))))) or (not not (((((-18 + 18) <= (5 ** 1) <= (1 * 10 + 5 * -10)) and (The currency of Japan is the Ringgit.)) and (The currency of Nigeria is the Rupiah.)) or ((not not... | {
"game_data": {
"answer": "C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 78606477,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not ((not (not not (((2073 is a ... |
logic-v2 | 检验这些表达式：
A. (银在常温下是液体。) or ((土耳其的货币是谢克尔。) and ((8 - 4) == (-4 * -2 * -3 * -7)))
B. (((19 * 13) == (10 - 17)) and (((7 + 4) >= (6 * -9 + -3 * 8)) and (蜘蛛有8条腿。))) or ((尼日利亚的首都是阿布贾。) and (人体有206块骨头。)) or (not ((1980年奥运会在蒙特利尔举办。) and (一月有31天。)))
C. ((地球是距离太阳第3近的行星。) or ((土耳其的首都是曼谷。) or ((-8 - 9) < (-14 + 14) < (-4 * 7 + -... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 80832916,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (银在常温下是液体。) or ((土耳其的货币是谢克尔。) and ((8 - 4) == (-4 * -2 * -3 * -7... |
logic-v2 | Evaluate each expression below:
A. not (not (The capital of Indonesia is Jakarta.))
B. (not ((A turtle is a reptile.) or (((-2 * 0 - 9 * -4) <= (20 % 3)) and (Helium is a gas at room temperature.)))) and (((8 * 5 - 4 * 5) < (10 * -9) < (1 % 2)) and ((not ((10 * 7 - -9 * -1) > (16 * 11))) or (The capital of Turkey is A... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 76711671,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (not (The capital of Indonesia is Jakar... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not not (Oil is a solid at room temperature.)) or ((not not (A kangaroo has 2 legs.)) or ((The chemical symbol for Phosphorus is P.) and ((-12 * -17) != (-3 - 3))))) or (not ((((6 + -14) == (35 % 3)) and ((10 * 19) <= (-6 * 20))) or (not ((2 * 9) <= (15 + 5)))))
B. (... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 25031304,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not not (Oil is a so... |
logic-v2 | Given the following boolean expressions:
A. ((((((2 * 10 + -9 * -6) == (4 ** 3)) and (Earth is the 2nd planet from the Sun.)) and (Whales are fish.)) or (2083 is a leap year.)) or ((not ((-18 + -11) >= (-11 * 8))) or (((United Kingdom is in Europe.) and (A fish has 0 legs.)) or ((United States is in North America.) or... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 417569,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. ((((((2 * 10 + -9 * -6) == (4 **... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not ((not (14 is divisible by 10.)) or (not (The capital of Germany is Bucharest.)))) and (not not (((The currency of Switzerland is the Peso.) or ((5 + -1) >= (-13 * 20))) and (Electricity flows faster than light.)))
B. not not ((not (not (The capital of Colombia... | {
"game_data": {
"answer": "C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 64039869,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not ((not (14 is ... |
logic-v2 | 下面是几个布尔表达式：
A. ((二月有31天。) and (土耳其的首都是里斯本。) and (((菲律宾的货币是比索。) or ((4 ** 3) != (1 + 12))) and ((大象有4条腿。) and (电流比光速更快。)))) or (not not (not (not not (俄罗斯的货币是卢布。))))
B. (not (尼日利亚的货币是兹罗提。)) and ((((鸵鸟是鸟类。) or (81的平方根是9。)) or (not ((20 * -4) <= (2 ** 1) <= (-6 + 13)))) or (not (秘鲁位于欧洲。)) or (袋鼠是爬行动物。))
C. not ((not (((-... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 32564901,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. ((二月有31天。) and (土耳其的首都是里斯本。) and (((菲律宾的货币是比索。) or ((4 ** 3) ... |
logic-v2 | Review these logical expressions:
A. (not (not not (((7 * 4 + 4 * -6) != (3 ** 3)) and ((7 * -2 * 2 * 6) >= (9 * 13))))) and ((((-1 - -8) != (-2 * -9 - -7 * -6)) or ((There are 31 days in September.) and (((-9 * 5 + -6 * 5) == (-1 * 8 * -3 * -2)) or ((1 ** 2) < (11 * -3) < (3 * 2 - -3 * -10))))) and ((Wood is a solid ... | {
"game_data": {
"answer": "A,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 55885796,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (not (not not (((7 * 4 + 4 * -6) != (... |
logic-v2 | Analyze these boolean expressions:
A. (not (((not not (Ice is less dense than liquid water.)) and ((Silver is a gas at room temperature.) and ((-12 * 0) >= (14 + -17)))) and (not ((49 % 7) < (13 * -20))))) or (not not ((-11 * 1) <= (-10 * 7 * 10 * -8))) or (not ((South Korea is in Oceania.) or (((7 + 3) > (-18 * -20))... | {
"game_data": {
"answer": "A,B,C,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 73540416,
"true_count": 6
},
"question": "Analyze these boolean expressions:\n\nA. (not (((not not (Ice is less den... |
logic-v2 | Study the following logical statements:
A. (not (not (The chemical symbol for Manganese is Mn.))) and ((not not ((19 - -3) <= (-7 * -2 - 5 * 7))) or (not not (not (Gold is a solid at room temperature.))))
B. not ((((-10 * 3 + -8 * 7) >= (-18 + -9)) or (((9 - 9) <= (2 ** 1) <= (-6 * 0 * -10 * -10)) or ((8 * -9 * -10 * ... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 86024358,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (not (not (The chemical symbol fo... |
logic-v2 | Below are several boolean expressions:
A. ((((1 - 19) < (-4 * -11)) and (not not (226 is a Fibonacci number.)) and (not not ((41 % 7) != (-19 + -12)))) or (((18 - 17) < (-15 * -16)) and ((not not (2009 is a leap year.)) and ((Vietnam is in North America.) or ((15 * -5) != (-13 + 13)))))) and (not not (not not ((Sound ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 53635614,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. ((((1 - 19) < (-4 * -11)) and (not not... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((((World War II began occurred in 1939.) and ((10 - 16) == (6 - -10))) or (not (The currency of Colombia is the Shekel.))) and ((A carp is an insect.) or ((Humans have three lungs.) and ((3 + 20) <= (15 * -8))))) and ((not not ((23 % 4) <= (-7 * -4 + -2 * -10))) or (n... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 94819502,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((((World War II began occurre... |
logic-v2 | Consider the following logical expressions:
A. (not (not (not not ((Italy is in Europe.) and (There are 30 days in February.))))) and (not ((62 is divisible by 2.) or (((-12 * 3) < (19 * 1)) and (Steam is a liquid at room temperature.)) or (Sound cannot travel through a vacuum.)))
B. not ((((A duck has 2 legs.) or ((S... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 10088507,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (not (not (not not ((Italy is in ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not (not not ((not not (金星是距离太阳第2近的行星。)) or (not not ((17 - 5) >= (14 + -17)))))) and (not not ((((14 * 9) <= (-10 * -6 * -3 * 4)) and (((-12 * 18) != (-15 - 9)) or (狗有6条腿。))) or ((尼日利亚位于非洲。) and ((43 % 4) <= (-4 - -17))) or ((((-14 - 17) > (-3 * -5)) or (法国大革命开始发生在1789年。)) or (not not (泰国的首都... | {
"game_data": {
"answer": "D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 79359989,
"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 (not not ((not not (金星是距离太阳第2近的行星。)) or (not n... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (((92是斐波那契数。) and (79能被6整除。)) and ((铁的化学符号是Ag。) and (铀的化学符号是U。)))
B. ((-2 - 14) <= (0 - 1)) and ((2059年是闰年。) or (((-7 * -5 * 1 * -2) >= (-11 - -11)) or (加拿大的货币是加元。)))
C. (217是斐波那契数。) and ((not (2013年是闰年。)) or ((九月有28天。) and (蜥蜴是爬行动物。)))
D. (not not (1968年奥运会在伦敦举办。)) and (((日本的货币是美元。) or ((17 - ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 56338588,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (((92是斐波那契数。) and (79能被6整除。)) and ((铁的化学符号是Ag。) and (铀... |
logic-v2 | 研究以下逻辑语句：
A. (((not ((7 * -1) >= (33 % 1))) or ((4 + -15) == (3 * -4 + 8 * -5))) and (not not (冰的密度比液态水小。)) and (not (not (not not (光速比声速快。))))) and (((((1904年奥运会在圣路易斯举办。) or ((3 ** 3) == (3 + 1))) and (2039年是闰年。)) and ((美国位于北美洲。) or (金星是距离太阳第2近的行星。)) and (氮气在常温下是气体。)) or (((((46 % 6) > (7 * 5 - 6 * 4)) and (爱尔兰的首都是都柏... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 17091040,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. (((not ((7 * -1) >= (33 % 1))) or ((4 + -15) == (3 * -4 + 8 *... |
logic-v2 | 评估以下每个表达式：
A. ((-10 * 9 - 4 * -1) <= (2 * -8)) and (((15 - 15) < (8 * -1 * 2 * 1)) and (265是完全平方数。))
B. 海王星是距离太阳第4近的行星。
C. (4 ** 1) == (1 * -6 * 2 * -7)
D. (((-5 * 7) < (9 - 7) < (-10 * -10 + -1 * -8)) or ((16 - 14) > (-9 * 7 * -4 * 7))) and ((0 * -6 * -8 * 6) > (-10 - 7))
E. (-20 - 17) <= (2 ** 3) <= (-7 - -14)
F. ((... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 58091225,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. ((-10 * 9 - 4 * -1) <= (2 * -8)) and (((15 - 15) < (8 * -1 * 2 * 1... |
logic-v2 | 下面是几个布尔表达式：
A. 埃及位于欧洲。
B. not ((10 - 0) > (18 - 4))
C. (39 % 4) > (-4 - -12)
D. (3 ** 1) == (-11 * 14)
E. 希腊的首都是雅典。
F. ((第二次世界大战开始发生在1934年。) or (土星是距离太阳第1近的行星。)) or ((-20 - -7) == (10 * 7 + -4 * -6))
G. not not (铜的化学符号是P。)
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,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 89785380,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. 埃及位于欧洲。\nB. not ((10 - 0) > (18 - 4))\nC. (39 % 4) > (-4 - -12)... |
logic-v2 | Evaluate each expression below:
A. not not (not (The currency of Switzerland is the Naira.))
B. ((Uranus is the 7th planet from the Sun.) and (((-12 * -6) <= (16 + -3) <= (16 - 14)) or (not not (Oxygen is necessary for human survival.)))) or ((There are 28 days in September.) or (not not (((13 - -8) == (5 - 6)) and (T... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 46813411,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not not (not (The currency of Switzerla... |
logic-v2 | Examine these expressions:
A. not not (The 2004 Olympics were held in Antwerp.)
B. (not ((4 + -20) > (27 % 10))) and ((85 is less than or equal to 71.) or ((-1 + 9) > (-16 - -7)))
C. (not not (1933 is a leap year.)) or ((35 % 10) < (4 * -3 + -3 * 2))
D. (not (2094 is a leap year.)) and ((1 ** 3) >= (-5 + 16))
E. ((A d... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 71483346,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (The 2004 Olympics were held in Antwerp.... |
logic-v2 | Given the following boolean expressions:
A. (-1 * 17) <= (19 % 10)
B. not not (((-16 + 12) != (10 * -1 + 0 * 9)) and (Alcohol is a liquid at room temperature.))
C. (-18 * -20) <= (4 ** 2)
D. ((2003 is a leap year.) and ((6 * 8 - 4 * 9) < (16 + -12))) and (not (16 is divisible by 8.))
E. The 1932 Olympics were held in ... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 11895766,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (-1 * 17) <= (19 % 10)\nB. not n... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((五月有31天。) and (俄罗斯的货币是英镑。)) and ((1933年是闰年。) or (第一次世界大战开始发生在1915年。))
B. not ((19 * -5) <= (4 * -9) <= (18 * -14))
C. (1997年是闰年。) and ((2 ** 3) >= (-12 * -9))
D. (8 * 8 + -6 * -3) > (8 * 15)
E. (not not ((-10 * -8 - 6 * 9) <= (6 * 6 - -5 * 7))) and ((289是完全平方数。) and (马来西亚的首都是吉隆坡。))
找出所有为 True 的表达... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 77619015,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((五月有31天。) and (俄罗斯的货币是英镑。)) and ((1933年是闰年。) or (第一次世界大战开... |
logic-v2 | Evaluate each expression below:
A. The 1936 Olympics were held in Berlin.
B. not not (There are 30 days in January.)
C. The capital of Indonesia is Manila.
D. (-13 - -20) > (5 * 4 + 3 * -7)
E. (-10 * 0) < (9 + -5) < (5 * 4)
F. The chemical symbol for Chromium is Fe.
G. ((The 1972 Olympics were held in Rio de Janeiro.)... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 79101951,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. The 1936 Olympics were held in Berlin.\nB... |
logic-v2 | Below are several boolean expressions:
A. (10 * 0) < (11 - 1)
B. (((5 ** 3) < (10 - -16) < (-15 + 11)) or (The capital of Norway is Rome.)) and ((The capital of Brazil is Brasilia.) or (The capital of Saudi Arabia is Madrid.))
C. The 2000 Olympics were held in Sydney.
D. not ((The 1908 Olympics were held in Seoul.) an... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 24135783,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (10 * 0) < (11 - 1)\nB. (((5 ** 3)... |
logic-v2 | 下面是几个布尔表达式：
A. (2077年是闰年。) or ((2070年是闰年。) and (瑞典的首都是斯德哥尔摩。)) or (not not (((5 ** 3) != (-4 - 0)) or (人类首次登月发生在1969年。)))
B. ((鲨鱼是哺乳动物。) and ((第二次世界大战开始发生在1939年。) and ((6 + -1) <= (14 + 14)))) or (50是质数。) or (摩洛哥位于非洲。)
C. ((not ((20 + 8) <= (12 - -12))) or (((34 % 3) >= (6 - 3)) or ((13 - -17) < (-6 * 7 + 5 * -3) < (4... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 37187955,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (2077年是闰年。) or ((2070年是闰年。) and (瑞典的首都是斯德哥尔摩。)) or (not not... |
logic-v2 | Evaluate each expression below:
A. 1949 is a leap year.
B. ((-8 * -4 + -3 * -3) > (-7 * 8 * -1 * -8)) or (not not ((17 * 15) > (-9 - 7)))
C. not ((-20 + 0) < (7 + 1))
D. ((7 + 13) <= (-6 * -6 - 3 * 6)) or (((-15 - 5) == (-8 * -2 * 4 * -9)) and (The square root of 1 is 1.))
E. The currency of India is the Krone.
F. not... | {
"game_data": {
"answer": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 13421706,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. 1949 is a leap year.\nB. ((-8 * -4 + -3 * -... |
logic-v2 | Examine these expressions:
A. 2089 is a leap year.
B. (Oil is a solid at room temperature.) or ((3 % 7) == (10 * 8 + -4 * 4))
C. ((A lobster has 10 legs.) and ((47 % 10) <= (1 * 0 * -5 * -7) <= (-6 * -3 * 4 * -1))) or (((1 ** 1) != (-8 * -9)) and (There are 30 days in April.))
D. ((4 * 10 * 1 * -8) >= (-11 + -19)) and... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 34585068,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. 2089 is a leap year.\nB. (Oil is a solid at ro... |
logic-v2 | 研究以下逻辑语句：
A. not not ((((1 ** 3) == (6 * -12)) or (1972年奥运会在慕尼黑举办。)) and ((-2 * -13) > (16 - -6)))
B. (not ((4 ** 2) != (15 * -18))) and ((10 + 10) <= (-8 * 7) <= (-19 - -13))
C. (钻石在常温下是固体。) or ((((17 * 8) > (0 - 3)) or (人体有206块骨头。)) and ((鸡是鸟类。) and (波兰的首都是华沙。)))
D. not ((-4 - 20) >= (1 - 15))
E. ((not (85是斐波那契数。)) ... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 14192137,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. not not ((((1 ** 3) == (6 * -12)) or (1972年奥运会在慕尼黑举办。)) and (... |
logic-v2 | 给定以下布尔表达式：
A. 阿根廷的货币是克朗。
B. (((4 ** 2) <= (5 ** 1)) or (海王星是距离太阳第3近的行星。)) and ((1 * -2 - 7 * 5) < (10 * -7 * -6 * -5))
C. not (not not ((45 % 1) < (-20 - 19) < (-7 * -10 - 5 * 6)))
D. 水星是距离太阳第1近的行星。
E. (not not (土星是距离太阳第6近的行星。)) and ((1912年奥运会在斯德哥尔摩举办。) or (铜在常温下是固体。))
F. (0 * 1 * 10 * 2) <= (20 - -12)
选出所有值为 True 的选... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 23915113,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. 阿根廷的货币是克朗。\nB. (((4 ** 2) <= (5 ** 1)) or (海王星是距离太阳第3近的行星。))... |
logic-v2 | Study the following logical statements:
A. (-7 * -10 * -8 * 9) < (19 + -7) < (10 * 3 - 4 * 2)
B. not not (((32 % 10) < (17 * 17) < (3 ** 2)) or (There are 30 days in July.))
C. (Alcohol is a liquid at room temperature.) and (not not (113 is a perfect square.))
Which statements are true? Put all true option labels in ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 20691398,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (-7 * -10 * -8 * 9) < (19 + -7) < (10... |
logic-v2 | Evaluate each expression below:
A. not (not not (not not (not not ((not not (The capital of Russia is Moscow.)) or (The first Olympic Games of modern era occurred in 1896.)))))
B. not not (not (not not ((((3 * 16) > (-8 + -12)) or ((The 1960 Olympics were held in Beijing.) and (65 is an even number.))) and (((-9 * -7)... | {
"game_data": {
"answer": "H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 2696887,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not (not not (not not (not not ((not not (The ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (2 * 0 + 2 * -1) <= (4 * 14)
B. (not not (165是完全平方数。)) and (not not ((-9 * 9 + 2 * -7) > (-12 - -6)))
C. (9 * -3 + -1 * 6) > (2 - -5)
D. (((9 + 10) != (42 % 5)) and (木星是距离太阳第1近的行星。)) or ((蝴蝶是昆虫。) and (莱特兄弟首次飞行发生在1902年。))
E. ((2014年是闰年。) or ((4 - 6) == (-6 - 20))) or (巴西位于欧洲。)
F. (((4 ** 3) <= (11 *... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 75879338,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (2 * 0 + 2 * -1) <= (4 * 14)\nB. (not not (165是完全平方数。)) an... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((The chemical symbol for Oxygen is Ni.) or (The Pacific Ocean is the largest ocean.) or ((4 + -17) != (-3 + 9))) or (not (not (not not (297 is a perfect square.))))) and ((((2 ** 1) <= (9 * 8 * 7 * -2)) and (not (5 is an odd number.)) a... | {
"game_data": {
"answer": "B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 78877742,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | Analyze these boolean expressions:
A. (not not (not not (Iron is a liquid at room temperature.))) or ((6 + 20) > (1 ** 2)) or (not not (There are 31 days in March.))
B. not not ((not (not ((5 ** 1) == (-3 - 10)))) and (not not (not (The capital of Nigeria is Seoul.))))
C. ((not not (not not ((-9 + 7) > (6 + 3)))) or (... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 64281709,
"true_count": 5
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not not (Iron is a liqui... |
logic-v2 | Examine these expressions:
A. not (not not (not not (((1 * 10 * 3 * -4) <= (-4 + -11)) and (not (not (Silver is a solid at room temperature.))))))
B. not not (not ((not not (The chemical symbol for Silicon is S.)) or (not not ((2065 is a leap year.) and (Uranus is the 2nd planet from the Sun.))) or (((The capital of G... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 16268645,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not (not not (not not (((1 * 10 * 3 * -4) <= (-4... |
logic-v2 | Consider the following logical expressions:
A. not ((not not ((The currency of Norway is the Krone.) and (not (The Sun revolves around the Earth.)) and (((There are 31 days in January.) or ((-3 + 4) == (-2 - 7))) or (not ((-20 + 20) >= (-1 * -2 - 7 * -6)))))) and (not not (((11 % 7) != (-10 * -4 + 8 * 2)) and (The cur... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 52342614,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not ((not not ((The currency ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((not ((not not (Indonesia is in Asia.)) and (not not ((4 ** 1) > (43 % 6))) and (not (not not (Venus is the 4th planet from the Sun.))))) and (((not (not (The Pacific Ocean is the largest ocean.))) or (not not (Bats are blind.)))... | {
"game_data": {
"answer": "C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 13665316,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Evaluate each expression below:
A. not not ((not (not (not not ((The chemical symbol for Helium is H.) and ((-3 + 2) <= (-8 * -7 * -6 * -8)))))) or ((not not ((-8 * -1 - 7 * -5) > (-10 * 2 - 10 * 9))) and (not ((The currency of Switzerland is the Koruna.) and ((86 is a prime number.) or (A whale is a mammal.))))))
B. ... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 16077170,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not not ((not (not (not not ((The chemi... |
logic-v2 | Given the following boolean expressions:
A. not not (not ((not (Chile is in South America.)) and (not (((6 * -2 + -8 * 7) < (-7 * 3 + -7 * 9) < (27 % 2)) and ((-16 - 8) != (1 % 1)))) and (not not ((((-7 * 1) > (0 * -8)) and (The capital of Greece is Athens.)) and (not ((4 ** 3) <= (2 ** 2)))))))
B. not (not ((((((-5 *... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 97997694,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not (not ((not (Chile is in So... |
logic-v2 | Review these logical expressions:
A. (not not (not (not (not not ((-19 + -8) >= (3 - -12)))))) or (not not ((Indonesia is in North America.) or ((-2 * -9 * -1 * -7) <= (-17 + -1)))) or (not not ((not not (not not ((World War II ended occurred in 1945.) or (27 is divisible by 6.)))) or ((((Mars is the 4th planet from t... | {
"game_data": {
"answer": "A,B,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 84679932,
"true_count": 7
},
"question": "Review these logical expressions:\n\nA. (not not (not (not (not not ((-... |
logic-v2 | Study the following logical statements:
A. not ((((not not (not (The capital of Romania is Brussels.))) and (((Humans have three lungs.) or (The chemical symbol for Chlorine is Cl.)) or ((The currency of India is the Rupee.) and (115 is an odd number.)))) and (not ((not ((-15 * 16) >= (7 * -13))) and ((4 - -13) > (-15... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 34428040,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not ((((not not (not (The capital... |
logic-v2 | Evaluate each expression below:
A. not not (not ((not (There are 30 days in October.)) or ((((-7 * 10 * 10 * -1) < (3 ** 1)) or (The currency of Mexico is the Peso.)) or ((87 is a perfect square.) and (The currency of Egypt is the Pound.))) or (not not (not ((The capital of Ireland is Wellington.) or (The capital of I... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 51984707,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not not (not ((not (There are 30 days in Octo... |
logic-v2 | Consider the following logical expressions:
A. not ((not (not not (The currency of United Kingdom is the Peso.))) or (((not ((The 2016 Olympics were held in Melbourne.) or ((18 * -14) != (-8 * 6)))) or (not ((10 + 7) <= (-2 - 12)))) or (not not (((4 ** 3) > (0 + 20)) or ((18 * -13) < (7 + -3)))) or ((((Diamonds are ma... | {
"game_data": {
"answer": "B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 95073632,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not ((not (not not (The curre... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((人类只使用了大脑的10%。) and (汞在常温下是液体。)) and (((-12 + 11) < (-16 + -13) < (-2 + -1)) or (2045年是闰年。)))
B. ((not ((3 ** 3) <= (17 - -7))) and ((-16 + 12) <= (-13 + 17))) or (((欧盟的货币是比索。) or ((19 - 5) != (14 - -3))) or (not (第二次世界大战开始发生在1939年。)))
C. (not (7大于12。)) or (not not (((-4 - -8) <= (30 % 4)) or (... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 88024858,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not not (((人类只使用了大脑的10%。) and (汞在常温下是液体。)) and (((-12 + 11) ... |
logic-v2 | Examine these expressions:
A. not (Ice is a solid at room temperature.)
B. (not (((-6 * 6 + -10 * -10) >= (5 - -5)) or (The capital of Portugal is Lisbon.))) or ((Uranus is the 8th planet from the Sun.) and ((-1 - 12) <= (16 + 6)))
C. ((3 ** 2) < (-2 * -2 + -2 * -7) < (5 ** 1)) and ((((13 * 13) == (0 * 4 - -1 * -4)) a... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 88912424,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not (Ice is a solid at room temperature.)\nB. (not... |
logic-v2 | 审视以下逻辑表达式：
A. not ((not (((-12 - 16) < (2 * 0 + 3 * 6) < (0 * 2 - 5 * -4)) and (not not (not not (太阳绕地球运转。))))) or (not not (not (not ((38是质数。) or (泰国的首都是曼谷。))))))
B. (not not (not (not not (((-4 * 4) == (6 - 11)) and (((4 ** 3) >= (11 + -5)) or ((1 ** 1) < (7 + -14))))))) or (not (not (not not (三月有29天。))))
C. not (no... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 44829098,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not ((not (((-12 - 16) < (2 * 0 + 3 * 6) < (0 * 2 - 5 * -4)) and (... |
logic-v2 | Review these logical expressions:
A. not not (not ((((-16 + 14) <= (-5 + 14) <= (36 % 10)) or ((not not ((-20 + -12) == (0 * 4 + 7 * -2))) or (not not (67 is divisible by 2.)))) and ((10 * 7 * 1 * -2) > (-7 * 6 + -1 * -3)) and ((not not ((Earth is the 4th planet from the Sun.) or ((-10 * 10 * -1 * -10) == (20 - 16))))... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 82490388,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not not (not ((((-16 + 14) <= (-5 + 14) <= ... |
logic-v2 | Review these logical expressions:
A. not not (not not (not (((27 % 4) < (-15 + -3)) and (((United States is in North America.) or (China is in Asia.)) or ((France is in Africa.) or ((13 - 0) != (-3 * 7 * -2 * -3)))))))
B. not not (not ((not (((2074 is a leap year.) and ((19 + -7) >= (-5 * 7 - -10 * 5))) and ((The Tita... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 67310837,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not (not not (not (((27 % 4) < (-15... |
logic-v2 | Evaluate each expression below:
A. not not (not not (not (((not ((2 ** 2) != (-10 + 18))) or (not not ((-1 * 5 + 8 * 0) < (5 % 9) < (-2 * -8)))) and (((A snake is a fish.) and ((-20 + 19) == (18 - 0))) or ((3 - -4) <= (-10 + -18))))))
B. not (not (((not not (not not ((16 * 9) < (5 ** 2)))) and (The capital of France i... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 17291331,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not not (not not (not (((not ((2 ** 2) ... |
logic-v2 | 分析以下逻辑表达式：
A. not ((not not ((((龙虾有0条腿。) or ((10 + 11) >= (19 + 0))) and ((哥伦比亚的首都是波哥大。) and ((1 ** 2) == (9 * 3 + 2 * 3)))) and ((10 + -14) == (9 + 1)))) and ((not (((14 * 19) < (8 * 1 - -8 * 10)) or (钙的化学符号是Ca。))) and (新西兰的货币是新西兰元。)) and ((((49 % 5) > (-8 - -2)) or (六月有30天。)) or (not (油在常温下是液体。))))
B. not (not not (... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 13036384,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. not ((not not ((((龙虾有0条腿。) or ((10 + 11) >= (19 + 0))) and... |
logic-v2 | 检验这些表达式：
A. ((((not ((-1 * -2 + 0 * 9) >= (-3 + 14))) and ((4小于等于96。) and (日本的货币是韩元。))) or ((3 * 2 * -5 * 6) == (1 ** 3)) or ((((4 ** 2) == (13 % 1)) and (菲律宾的货币是卢比。)) and (not ((-3 * 1 - 0 * 10) != (-6 - 13))))) and ((15 * 13) > (-9 * 10 - -5 * 1)) and (not not ((-8 * 9) < (9 + -9)))) and ((((1 % 2) == (6 * 6)) or (土... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 71540685,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. ((((not ((-1 * -2 + 0 * 9) >= (-3 + 14))) and ((4小于等于96。) and ... |
logic-v2 | Review these logical expressions:
A. ((not (((((-11 + 12) <= (2 * -4 - -4 * 2)) or ((1 - -13) <= (0 + -3))) and ((20 is a prime number.) or (Peru is in South America.))) or (South Africa is in Africa.))) or (not (not (((There are 31 days in October.) and (1927 is a leap year.)) and (The chemical symbol for Titanium is... | {
"game_data": {
"answer": "B,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 55530218,
"true_count": 6
},
"question": "Review these logical expressions:\n\nA. ((not (((((-11 + 12) <= (2 * -4 -... |
logic-v2 | 给定以下布尔表达式：
A. 海王星是距离太阳第8近的行星。
B. (8 + -4) < (-16 * 1)
C. (1 ** 3) < (0 - 3)
D. 银在常温下是固体。
E. (八月有31天。) or (九月有30天。)
F. ((空气在常温下是固体。) and ((-7 * -6 * 4 * 5) >= (-6 - -12))) or (not (火星是距离太阳第4近的行星。))
G. (not not (莱特兄弟首次飞行发生在1893年。)) or (not not ((0 * 10 - 8 * -7) <= (11 * -14)))
H. (not ((8 + 10) == (11 - 17))) and (钠的化学... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 67668974,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. 海王星是距离太阳第8近的行星。\nB. (8 + -4) < (-16 * 1)\nC. (1 ** 3) < (0 - 3... |
logic-v2 | 检验这些表达式：
A. not not (not not ((not (not (((-1 + -9) >= (13 - 9)) and (章鱼有100条腿。)))) and (not not (猪有0条腿。))))
B. not not (not ((not not (((鲨鱼是哺乳动物。) or (第二次世界大战开始发生在1938年。)) or ((8 + -20) == (-8 * 2 - -5 * -8)))) and ((1996年奥运会在北京举办。) or (not not (((12 + 15) < (-1 * -3 - -1 * 6)) and (35大于41。))))))
C. (not (not ((((4 -... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 68351124,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not not (not not ((not (not (((-1 + -9) >= (13 - 9)) and (章鱼有1... |
logic-v2 | 研究以下逻辑语句：
A. ((((not (火星是距离太阳第4近的行星。)) or (钴的化学符号是Co。)) and ((8 + 9) <= (27 % 5)) and (((1924年奥运会在赫尔辛基举办。) or ((-10 + 1) <= (9 * -19))) and (not (土耳其的首都是雅加达。)))) or ((委内瑞拉的首都是加拉加斯。) and ((-20 + -4) == (0 * 8)))) and ((埃及的货币是欧元。) and (not ((蚂蚁有6条腿。) and ((-12 * -6) <= (-18 - 3))))) and ((not not ((not not (氮气在常温下是固体。))... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 53971869,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. ((((not (火星是距离太阳第4近的行星。)) or (钴的化学符号是Co。)) and ((8 + 9) <= (27 % 5)... |
logic-v2 | 检验这些表达式：
A. (((not (冰的密度比液态水小。)) or (((20 + 20) >= (5 * -4 + -4 * 10)) and (智利的货币是人民币。))) and (not not (not not (太阳绕地球运转。)))) and (not not ((2 * 0 + 5 * 3) > (19 + -10)))
B. (not not ((((1 - -18) <= (-17 + -3)) or (第一次世界大战结束发生在1923年。)) and (((7 * -10) == (9 + 0)) or ((8 * 5 * -7 * -5) < (27 % 6) < (17 - -3))))) or ((n... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 48070339,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (((not (冰的密度比液态水小。)) or (((20 + 20) >= (5 * -4 + -4 * 10)) and (智利的货... |
logic-v2 | Analyze these boolean expressions:
A. (not (not not (not ((The capital of Hungary is Budapest.) and ((9 + 0) < (-20 + -1) < (2 * 0 + -8 * 7)))))) or (((The Moon orbits the Earth.) or ((((6 - -12) == (20 * 10)) or (Lightning never strikes the same place twice.)) and ((3 * -5) >= (2 * -4 + -5 * -3)))) or (not ((((-3 * 1... | {
"game_data": {
"answer": "A,B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 77395871,
"true_count": 6
},
"question": "Analyze these boolean expressions:\n\nA. (not (not not (not ((The capital... |
logic-v2 | Examine these expressions:
A. not (United States is in North America.)
B. not (((1942 is a leap year.) and ((4 ** 1) <= (-13 - -19))) and (((-19 + -1) < (3 * -12)) and (Earth is the 1st planet from the Sun.)))
C. (((Brazil is in South America.) and ((-13 - -12) <= (1 ** 2))) or ((0 * 10 * -1 * 2) == (-3 * -2))) or ((-... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 38786229,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not (United States is in North America.)\nB. not... |
logic-v2 | 分析以下逻辑表达式：
A. ((((not (空气在常温下是固体。)) and ((钻石由碳元素组成。) and (204是完全平方数。))) or ((铁在常温下是固体。) or (现代奥运会首届举办发生在1897年。)) or ((((-16 * -9) == (19 - 16)) and ((10 - 3) < (9 * -10 * -2 * 5) < (-12 - 20))) or ((土耳其的首都是安卡拉。) or (61能被10整除。)))) and (((美国宣布独立发生在1776年。) and (not (人类只使用了大脑的10%。))) and (not ((苏联解体发生在1993年。) and ((-2 * 6... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 24467633,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((((not (空气在常温下是固体。)) and ((钻石由碳元素组成。) and (204是完全平方数。))) or... |
logic-v2 | Consider the following logical expressions:
A. not (not not (not not (Mercury is a gas at room temperature.)))
B. not (not (A snake has 0 legs.))
C. (((Mercury is the 6th planet from the Sun.) or ((The 1908 Olympics were held in London.) and (The chemical symbol for Mercury is Co.))) and ((not (A chicken has 4 legs.))... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 51654069,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not (not not (not not (Mercur... |
logic-v2 | Review these logical expressions:
A. (((The square root of 64 is 9.) or ((-1 + -13) == (7 - -1))) or (Thailand is in Oceania.)) or (not not ((The chemical symbol for Silicon is Ca.) or (There are 30 days in January.)))
B. ((The currency of Japan is the Zloty.) and (not not (Venus is the 2nd planet from the Sun.))) or ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 3841704,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (((The square root of 64 is 9.) or ((-1 + ... |
logic-v2 | 下面是几个布尔表达式：
A. (((1936年奥运会在墨西哥城举办。) or ((20 + -7) > (1 * -2 + 0 * -9))) or ((芬兰的首都是赫尔辛基。) or ((2 * 5 - 2 * 7) < (19 + -9) < (-5 * -10 - 2 * -10))) or (((第一次世界大战结束发生在1923年。) and (丹麦的货币是克朗。)) or (((9 * 5 - 0 * 1) < (2 ** 3) < (-19 + -7)) and ((8 + -17) < (9 * 4 * -10 * -3) < (-10 * 0))))) and ((not not ((光速约为每秒30万公里。) o... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 21064092,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (((1936年奥运会在墨西哥城举办。) or ((20 + -7) > (1 * -2 + 0 * -9))) or ((芬兰的... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (A butterfly has 6 legs.)) or ((((-17 - 14) == (-11 * 7)) and ((-4 * 6 * 10 * 10) < (-14 * -10) < (0 * 0 * 10 * 1))) or (not ((-5 * -6 + -3 * -10) == (4 ** 3))))
B. ((((9 * -13) >= (1 + 7)) or (Copper is a gas at room temperature.)) or ((-9 * 6 * -3 * -10) >= ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 14973921,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (A butterfly has 6 ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((铀的化学符号是U。) and (not not ((7 * -9 - 0 * -4) < (4 ** 2)))) or (((-3 * -5 - -9 * 9) != (4 * 10 * 1 * -4)) or ((第二次世界大战结束发生在1945年。) and ((2 ** 1) != (11 * -20))))) and (鹦鹉是哺乳动物。) and ((比利时的首都是利雅得。) or (((挪威的首都是奥斯陆。) and ((19 + 13) <= (-5 + 15))) and ((5 + -16) == (2 - 0))))) or (((((-4 - -15) < (11... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 97935736,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((铀的化学符号是U。) and (not not ((7 * -9 - 0 * -4) < (4 ** 2... |
logic-v2 | 分析以下逻辑表达式：
A. 土耳其的货币是兰特。
B. (((-11 * 5) < (4 * -18) < (26 % 4)) or (铜的化学符号是Cu。)) or ((-1 * 4 - 10 * 2) == (2 - 16))
C. (((13 % 3) == (10 * -18)) and ((-11 * -6) != (0 + 3))) or ((2004年奥运会在雅典举办。) or (铅的化学符号是Sn。))
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": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 82009199,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. 土耳其的货币是兰特。\nB. (((-11 * 5) < (4 * -18) < (26 % 4)) or (铜的化学符号是Cu... |
logic-v2 | 检验这些表达式：
A. ((((-16 - -12) <= (-10 + -5)) and (((水星是距离太阳第5近的行星。) or ((14 + 6) < (1 * 7 + -5 * 10) < (5 * -2))) and ((铅的化学符号是Al。) and ((12 - 6) <= (-5 * -15) <= (-10 * 5))))) and (((-15 + 5) > (-3 * -10 * 0 * -7)) and ((鲨鱼是哺乳动物。) and ((45能被12整除。) and ((-7 - 1) >= (-6 - -11)))))) and (not not (((((-12 - 16) == (7 * -2))... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 22351938,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((((-16 - -12) <= (-10 + -5)) and (((水星是距离太阳第5近的行星。) or ((14 + 6) ... |
logic-v2 | 考虑以下布尔表达式：
A. not (not not ((-3 * -3 + -1 * 4) <= (12 + -3)))
B. not not (not ((-19 * -12) < (22 % 9)))
C. not ((5 * -6 - -8 * 5) == (-3 * -4 + 3 * 4))
D. ((47 % 1) != (-8 + -20)) or ((((12 * -11) > (-12 - 18)) and (尼日利亚的首都是马德里。)) and (not (水在常温下是气体。)))
E. (not not (((12 - 1) != (7 % 10)) and (人类首次登月发生在1969年。))) and (... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 95384052,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. not (not not ((-3 * -3 + -1 * 4) <= (12 + -3)))\nB. not no... |
logic-v2 | 检验这些表达式：
A. (16 - 7) != (2 * 0 + 5 * 10)
B. not (((45 % 5) < (10 + -19)) and (鲨鱼是哺乳动物。))
C. (((15 + 8) == (18 + -20)) and ((-18 * -7) < (2 ** 1))) and ((钻石在常温下是固体。) and ((2 * -2 * -10 * 9) <= (14 - 4) <= (10 * 9 + 8 * 1)))
D. (((8 + 15) <= (-19 + 17) <= (13 + 1)) and (2032年是闰年。)) or (not not ((-7 + 7) != (4 * -7 - 0 *... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 62179633,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (16 - 7) != (2 * 0 + 5 * 10)\nB. not (((45 % 5) < (10 + -19)) an... |
logic-v2 | Here are some boolean expressions to evaluate:
A. Whales are fish.
B. ((-7 + -10) == (-6 * 1 - -2 * -5)) and ((The currency of Philippines is the Krone.) or (Saudi Arabia is in Asia.))
C. The chemical symbol for Nitrogen is O.
D. (not (The 1988 Olympics were held in Seoul.)) and (((28 % 3) == (-19 - -6)) or ((5 * 5 - ... | {
"game_data": {
"answer": "E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 30715910,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. Whales are fish.\nB. ((-7 ... |
logic-v2 | Evaluate each expression below:
A. not not ((The chemical symbol for Platinum is Pt.) or ((5 + -2) <= (-10 - -7) <= (-6 * -7)))
B. not not ((The 1932 Olympics were held in Athens.) and ((not (Neptune is the 3rd planet from the Sun.)) and ((The chemical symbol for Platinum is Pt.) or ((-4 * -6 * 0 * 5) == (19 + -3)))))... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 3279209,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not not ((The chemical symbol for Platinum... |
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