env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Given the following boolean expressions:
A. not (not not (not not ((3 * 0 * 5 * 2) < (-8 * -2 - -1 * -8))))
B. ((not ((((10 * -6 * 10 * 7) == (4 ** 1)) and ((7 - 16) >= (10 * 9 * 1 * -6))) and (The capital of Saudi Arabia is Caracas.))) and ((The chemical symbol for Sodium is Si.) and (((2 ** 1) < (8 * 18) < (15 - 14)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 85117764,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not (not not (not not ((3 * 0 * 5 * ... |
logic-v2 | Examine these expressions:
A. (not ((The chemical symbol for Silicon is Hg.) and (not (Colombia is in Asia.)))) or ((not (((3 * 10) != (-10 + 1)) and (The chemical symbol for Titanium is Ti.))) or (The 1984 Olympics were held in Los Angeles.))
B. (not (not not (A ant has 6 legs.))) or (not ((15 + 2) != (1 ** 3)))
C. (... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 6536017,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (not ((The chemical symbol for Silicon is Hg.) ... |
logic-v2 | Below are several boolean expressions:
A. ((1 ** 3) != (12 * 13)) or ((A snake has 0 legs.) or (France is in Antarctica.))
B. not not (((The 1904 Olympics were held in Rome.) or (There are 30 days in November.)) or (not ((-6 + -10) >= (1 ** 2))))
C. not (not not (A flamingo is an insect.))
D. not not ((-7 * 5 + -8 * 1... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 90330298,
"true_count": 6
},
"question": "Below are several boolean expressions:\n\nA. ((1 ** 3) != (12 * 13)) or (... |
logic-v2 | Given the following boolean expressions:
A. not not (not (not ((A octopus has 8 legs.) and (((16 * 15) <= (13 - -7)) and (Mexico is in North America.)) and (not (There are 28 days in August.)))))
B. (not not (not ((not (not ((-14 * -10) > (19 * -17)))) or (not (not not ((-10 + -8) >= (-8 * -13))))))) and (not not (not... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 62473013,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not (not (not ((A octopus has ... |
logic-v2 | Below are several boolean expressions:
A. (not not ((not not (not (not not (The capital of Netherlands is Oslo.)))) or ((The square root of 144 is 7.) or (((20 - 12) != (2 + 8)) or (A dragonfly is an insect.))))) and (not not (not not ((not not ((The square root of 196 is 14.) and (Lightning never strikes the same pla... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 40516295,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. (not not ((not not (not (not not... |
logic-v2 | Review these logical expressions:
A. (1938 is a leap year.) or ((((-11 * 5) < (18 % 6)) or ((4 ** 1) <= (1 * 0 * -10 * 5) <= (-19 + 8))) and (((-3 + 20) >= (-5 * -10 - 5 * -10)) or (The currency of South Korea is the Rupiah.)))
B. not not (not ((Lightning never strikes the same place twice.) and ((2 % 6) >= (-18 - 2))... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 53063648,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (1938 is a leap year.) or ((((-11 * 5) < ... |
logic-v2 | Below are several boolean expressions:
A. not (not not (not ((((The chemical symbol for Zinc is Si.) and ((13 % 6) != (-4 * -7))) and ((A beetle is an insect.) or ((44 % 10) <= (8 * -9 + -8 * 6) <= (14 + 12)))) or ((((-1 - -3) >= (2 ** 1)) or (India is in Africa.)) or ((-17 * 20) < (-9 + -7) < (-12 - -4))))))
B. not n... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 79917715,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not (not not (not ((((The chemic... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((not not (not (not not (not (The human body has 150 bones.))))) or ((not (The capital of Chile is Copenhagen.)) or (A dog has 4 legs.) or (((((-7 * 1 * -10 * 0) != (-7 * 0)) and (The 1996 Olympics were held in Sydney.)) and (((-2 * -1) != (1 ** 3)) and (Alcoho... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 96148774,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((not not (not... |
logic-v2 | 考虑以下布尔表达式：
A. 地球是距离太阳第6近的行星。
B. 水在常温下是液体。
C. not (金在常温下是气体。)
D. not ((-1 * -6 * -5 * 0) >= (0 * -5 + -3 * -4))
E. not (not not ((5 * 8 - 3 * 1) < (-20 * 15) < (-10 * 0 + -8 * 9)))
F. ((铀的化学符号是U。) or ((-8 * -2 + -4 * -8) <= (-5 * -5 + -3 * -2))) or ((土星是距离太阳第6近的行星。) or ((-3 * 3 - 8 * -6) < (2 ** 1)))
G. 1992年奥运会在巴塞罗那举办... | {
"game_data": {
"answer": "B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 91753923,
"true_count": 6
},
"question": "考虑以下布尔表达式：\n\nA. 地球是距离太阳第6近的行星。\nB. 水在常温下是液体。\nC. not (金在常温下是气体。)\nD. not... |
logic-v2 | 研究以下逻辑语句：
A. not not ((not not (铜在常温下是气体。)) or ((铜的化学符号是K。) and ((-12 + 18) < (25 % 2) < (2 ** 3))))
B. not (((8 * -10 + -4 * 2) == (6 * -8 + -7 * -4)) or (((-4 * -17) > (-3 * 4 + -5 * -5)) or ((8 + -18) >= (8 * 10))))
C. (((-17 * -5) > (-2 * -8 - -10 * -8)) and (not not (肯尼亚的首都是内罗毕。))) or ((阿根廷位于欧洲。) or ((36 % 7) == ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 86020924,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not not ((not not (铜在常温下是气体。)) or ((铜的化学符号是K。) and ((-12 + 18) < (2... |
logic-v2 | Given the following boolean expressions:
A. ((-13 - -15) > (1 - 10)) or (21 is a perfect square.)
B. ((2 ** 3) == (39 % 7)) or (not not (Argentina is in South America.)) or ((1 * 5) <= (-8 * 0 * -4 * 7))
C. (((The 2000 Olympics were held in Sydney.) and ((-6 * -4 + -8 * -4) <= (-12 - -11))) or (((-3 + -5) <= (7 % 4)) ... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 99128253,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. ((-13 - -15) > (1 - 10)) or ... |
logic-v2 | 检验这些表达式：
A. not not (not not ((((冰在常温下是固体。) or (鲨鱼是鱼类。)) and ((((-3 * -20) > (-18 * -10)) and (越南的货币是克朗。)) or ((-8 + -1) <= (-16 - 18)))) and ((not (not not (1928年奥运会在阿姆斯特丹举办。))) and ((((-18 * 1) != (6 * -14)) and ((-10 * -8) <= (13 - 1))) or ((2014年是闰年。) and (中国的货币是人民币。))))))
B. not (((((((10 + -9) >= (-12 + 9)) and ... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 89609769,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not not (not not ((((冰在常温下是固体。) or (鲨鱼是鱼类。)) and ((((-3 * -20) > (... |
logic-v2 | 分析以下逻辑表达式：
A. (not not ((not (not (953是斐波那契数。))) and (((瑞士的货币是瑞士法郎。) and (地球绕太阳运转。)) and (((17 % 10) != (0 + -2)) or ((1 ** 3) == (2 ** 3)))) and ((摩洛哥的首都是马尼拉。) and ((not not (二月有28天。)) or (((-7 * -20) == (18 + -3)) and (土耳其的首都是内罗毕。)))))) and (not (((not ((11 - 15) != (5 * 8 + 1 * -5))) or (银在常温下是液体。)) or (((猪有4条腿。) a... | {
"game_data": {
"answer": "B,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 78820445,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. (not not ((not (not (953是斐波那契数。))) and (((瑞士的货币是瑞士法郎。) and (... |
logic-v2 | Consider the following logical expressions:
A. not not ((-9 * -8) <= (-7 * -4 - -4 * 4))
B. (There are 31 days in September.) and (not not (The capital of Greece is Athens.)) and (not ((68 is greater than 61.) and ((-5 + 19) >= (1 ** 3))))
C. ((((14 + -10) >= (3 + 20)) or (The first iPhone was released occurred in 200... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 46555275,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not not ((-9 * -8) <= (-7 * -4 - ... |
logic-v2 | Examine these expressions:
A. not not (not ((((((-12 - -11) >= (30 % 1)) or ((17 * 19) > (2 ** 3))) or ((The chemical symbol for Chlorine is P.) and (The Soviet Union dissolved occurred in 1991.))) and (not not (not not (The speed of light is approximately 300,000 km/s.)))) or ((Oil is a liquid at room temperature.) a... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 33407747,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (not ((((((-12 - -11) >= (30 % 1)) or ((... |
logic-v2 | Review these logical expressions:
A. not not (((Lightning never strikes the same place twice.) and (Thailand is in Antarctica.)) or (not (The 2020 Olympics were held in Melbourne.)))
B. (((The 1956 Olympics were held in Melbourne.) or ((11 - -4) < (3 ** 2) < (35 % 5))) or ((Japan is in Asia.) and ((-15 + 19) == (-20 *... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 32995883,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not (((Lightning never strikes the ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((not (新西兰的货币是林吉特。)) or (((5 ** 1) <= (-6 * 2 - -2 * -1) <= (-3 - -8)) or ((-8 * -1 + 7 * -9) > (3 ** 2)))) and (韩国的首都是马德里。)) or ((not (油在常温下是液体。)) or (((0 * -9 + -2 * -2) == (-7 * 8 - -10 * -3)) or ((10 * -3 * 10 * 8) > (5 ** 1))) or ((奥地利的首都是维也纳。) or (not not (法国的首都是巴西利亚。))))
B. not (((not ... | {
"game_data": {
"answer": "A,B,C,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 59479587,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (((not (新西兰的货币是林吉特。)) or (((5 ** 1) <= (-6 * 2 - ... |
logic-v2 | 考虑以下布尔表达式：
A. not ((((((蜘蛛有8条腿。) or ((-4 * 3 - 10 * 4) >= (15 * -8))) and ((十一月有30天。) or (火星是距离太阳第4近的行星。))) and (not (not not (西班牙位于北美洲。)))) and (not not (法国大革命开始发生在1779年。))) or (((not (not not ((17 % 7) == (7 - -19)))) and (((-20 * -7) != (-12 - -3)) and ((6 - 8) > (13 * -4))) and ((not not (1932年奥运会在伦敦举办。)) and (蟑螂是... | {
"game_data": {
"answer": "B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 36903644,
"true_count": 6
},
"question": "考虑以下布尔表达式：\n\nA. not ((((((蜘蛛有8条腿。) or ((-4 * 3 - 10 * 4) >= (15 * -8))) ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not ((((19 * -9) <= (-2 - 3) <= (-2 * -1 - -8 * 10)) and ((1 - -2) == (1 ** 1))) or (2095年是闰年。))) or ((日本的首都是东京。) or ((磷的化学符号是K。) or ((5 * 6 - 3 * -9) == (-9 * -3 * -6 * -8)))) or (not ((第二次世界大战结束发生在1945年。) or (((-1 * 5) < (18 * 14)) and ((-10 + -19) >= (-6 + 0)))))
B. ((((哥伦布到达美洲发生在1493年。) o... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 11471382,
"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 ((((19 * -9) <= (-2 - 3) <= (-2 * -1 - -8 * 10... |
logic-v2 | Analyze these boolean expressions:
A. ((((The Soviet Union dissolved occurred in 1991.) and (Penguins can fly.)) and (((Venus is the 3rd planet from the Sun.) and (50 is divisible by 2.)) and (not (Silver is a solid at room temperature.)))) and (not not (2043 is a leap year.))) or (not not ((((The capital of Vietnam i... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 42499935,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. ((((The Soviet Union dissolved occurred in... |
logic-v2 | 考虑以下布尔表达式：
A. (not (((((-6 * -8 * 6 * 2) != (3 ** 1)) or ((7 * 9 * 0 * -7) == (12 + 17))) or ((1912年奥运会在北京举办。) or ((8 * -7 - 6 * 5) == (12 * -8)))) or ((1992年奥运会在赫尔辛基举办。) or (泰国的首都是安卡拉。)) or (1960年奥运会在罗马举办。))) and (((第二次世界大战开始发生在1939年。) and (熊是鱼类。)) and ((((-13 - 6) < (8 + -10) < (-4 + -5)) or (62是斐波那契数。)) and (not ((... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 50826779,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. (not (((((-6 * -8 * 6 * 2) != (3 ** 1)) or ((7 * 9 * 0 * -7) == (1... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (秘鲁的货币是卢布。) and (not not (not (鲤鱼是鱼类。)))
B. ((人类首次登月发生在1968年。) and ((-4 * -2) == (-10 * -5))) or (汞在常温下是气体。)
C. (((3 ** 1) > (-20 * -20)) and (not (金星是距离太阳第2近的行星。))) and (鳄鱼是爬行动物。)
D. (((冰在常温下是固体。) or (伦敦大火发生在1666年。)) and (not not (鲨鱼是哺乳动物。))) or (((5 + -4) >= (0 + -11)) or ((1912年奥运会在斯德哥尔摩举办。) or ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 17473921,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (秘鲁的货币是卢布。) and (not not (not (鲤鱼是鱼类。)))\nB. ((人类首次登月发生在19... |
logic-v2 | Analyze these boolean expressions:
A. ((not (((1 ** 3) < (3 * 0 + 9 * -2) < (-18 * -10)) and (The currency of Russia is the Ruble.))) or ((Carbon dioxide is a gas at room temperature.) and (The Moon produces its own light.)) or (Chile is in Asia.)) and (((7 + 6) != (5 + -19)) or ((-16 * -18) <= (-3 * -7 - -4 * -9)))
B... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 18403929,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((not (((1 ** 3) < (3 * 0 + 9 * -2) < ... |
logic-v2 | Review these logical expressions:
A. ((((A horse has 4 legs.) or ((-5 * -4) <= (-8 - -4))) and (not not ((18 + -2) <= (17 * 9) <= (-5 + -9)))) and ((7 + -5) != (-19 * 7))) or ((not (((-12 * -9) != (-8 * -6 * 6 * -8)) or (The currency of Vietnam is the Krona.))) or ((((2 * 4 + 10 * -7) <= (0 * -3)) and (The chemical sy... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 6826623,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. ((((A horse has 4 legs.) or ((-5 * -4) <... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((-20 + -17) >= (8 * 8 - 9 * 2)) and (not ((10 * 1) > (-18 * 6))))
B. (not (not not (章鱼有8条腿。))) or (((美国宣布独立发生在1776年。) or ((3 ** 1) < (2 ** 2))) and ((闪电不会两次击中同一个地方。) and (二氧化碳在常温下是固体。)))
C. (((泰国位于南美洲。) or (墨西哥位于南极洲。)) and (((3 + -15) != (9 * -2 - 1 * 6)) and ((23 % 10) > (3 ** 1)))) and (not ... | {
"game_data": {
"answer": "D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 29392606,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not not (((-20 + -17) >= (8 * 8 - 9 * 2)) and (not ((10 * 1... |
logic-v2 | 检验这些表达式：
A. ((((not (冰的密度比液态水小。)) and ((65是斐波那契数。) and (金枪鱼是鱼类。))) and (((-5 * -7 - -5 * -5) >= (-3 * -4 * -2 * 6)) and ((蜻蜓是哺乳动物。) and (捷克的货币是瑞士法郎。)))) or ((((24是奇数。) or ((48 % 7) < (1 ** 3))) and ((-8 - -6) == (-3 - -18))) or ((((-3 - 7) > (-17 * 13)) or ((4 * 1 + -7 * -5) != (-10 * 7 - -9 * -6))) or ((-9 * -19) > (... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 57559587,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. ((((not (冰的密度比液态水小。)) and ((65是斐波那契数。) and (金枪鱼是鱼类。))) and (((... |
logic-v2 | 给定以下布尔表达式：
A. ((氮气在常温下是固体。) or (((乌克兰的首都是奥斯陆。) and ((45 % 7) == (1 * 8 * -9 * 8))) or (14是质数。))) or ((((-6 * -15) == (7 * 8 - 8 * -1)) and (海王星是距离太阳第4近的行星。)) and (((5 - -16) > (10 * 4 + -7 * 6)) or ((4 ** 3) >= (-3 * -18)))) or (not ((not ((-15 + 12) < (17 * 6) < (23 % 1))) or ((哥伦布到达美洲发生在1492年。) and ((4 ** 2) > (-3 *... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 12837920,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((氮气在常温下是固体。) or (((乌克兰的首都是奥斯陆。) and ((45 % 7) == (1 * 8 * -9 * 8)... |
logic-v2 | 研究以下逻辑语句：
A. (not ((not (((20 * 5) == (-6 * 6 + 0 * 8)) or ((5 ** 3) > (46 % 1)))) and (((蜘蛛有0条腿。) and (水蒸气在常温下是气体。)) and (((5 ** 2) == (20 - -5)) or (月球绕地球运转。))))) and (not not ((not not ((-10 + -13) > (13 - -7))) or ((not (加拿大的首都是阿姆斯特丹。)) and ((-16 * 5) != (-14 * -13)))))
B. (not (((墨西哥的货币是新西兰元。) and (not not ((3 **... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 80188934,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. (not ((not (((20 * 5) == (-6 * 6 + 0 * 8)) or ((5 ** 3) > (46... |
logic-v2 | 考虑以下布尔表达式：
A. (not (((11 * 4) >= (-3 * -6 - 9 * -8)) and ((瑞典的货币是克朗。) or ((-1 * 5 + 6 * 1) <= (5 + -18) <= (-12 - 11))) and ((0 * 16) != (18 + 13)))) or ((not not (not (冰在常温下是固体。))) and (((not ((0 * -5 - 2 * 4) >= (-16 * -13))) or (not not ((-6 * -1 - 7 * -9) <= (-14 + 1) <= (-12 + 16)))) and (not not ((-2 * -3 + 1 * ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 81258641,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not (((11 * 4) >= (-3 * -6 - 9 * -8)) and ((瑞典的货币是克朗。) or ((-... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not ((not ((-1 * 15) != (-6 + 14))) and ((World War II ended occurred in 1945.) or ((15 + 13) <= (-13 - -14))))) or (((-6 + -8) > (-18 - 16)) and (The 1896 Olympics were held in Sydney.))
B. not (((5 * -13) <= (-17 - -14)) or ((4 + 20) <= (31 % 8)))
C. (((((3 ** 3) <=... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 41413507,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not ((not ((-1 * 15) != (-6... |
logic-v2 | Study the following logical statements:
A. ((The 1988 Olympics were held in Helsinki.) and (((13 * -6) != (-1 * -4 + 2 * -2)) or (((-2 + 1) == (13 * 19)) and (The first iPhone was released occurred in 2007.)))) and (not (not (2052 is a leap year.)))
B. not not ((((United Kingdom is in South America.) and ((10 * -4) ==... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 87511495,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. ((The 1988 Olympics were held in ... |
logic-v2 | Review these logical expressions:
A. (10 * 5 - -7 * -9) < (6 - 10) < (32 % 7)
B. (((11 * -3) <= (-15 - 13)) or (The chemical symbol for Magnesium is Na.)) or (((14 - 16) == (5 * 3)) or ((-14 + 4) != (10 * 18)))
C. (-9 * -2 * -1 * -2) < (-11 - 16)
D. A fish has 6 legs.
Which expressions are true? Answer with comma-sep... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 987567,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (10 * 5 - -7 * -9) < (6 - 10) < (32 % 7)\nB... |
logic-v2 | 给定以下布尔表达式：
A. 水蒸气在常温下是气体。
B. not not (((-3 * 6 - 1 * 7) < (-10 * 9 * 10 * -10)) or (167是完全平方数。))
C. (新西兰的首都是惠灵顿。) and ((25的平方根是8。) and ((26 % 7) < (12 - -4)))
D. not (九月有29天。)
E. (-15 * 5) > (2 * -19)
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,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 41539894,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. 水蒸气在常温下是气体。\nB. not not (((-3 * 6 - 1 * 7) < (-10 * 9 * 10 * -... |
logic-v2 | Consider the following logical expressions:
A. not ((not (((Iron is a solid at room temperature.) or ((Sound travels faster in a vacuum.) and ((-4 * -7) != (0 * -8 * -5 * -9)))) and (Venus is the 2nd planet from the Sun.))) and (((((0 * -7) <= (-5 - 11)) and ((-7 * 8 - -6 * 3) >= (50 % 1))) and ((2 % 10) >= (-9 * 6 * ... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 73247278,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not ((not (((Iron is a solid ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (-8 + -15) == (-11 + -14)
B. not (((9 * -5 - -1 * -7) >= (19 * 18)) or ((1 * -5) >= (-6 * -19)))
C. not ((印度的货币是卢比。) or ((12 + 5) != (-10 * 13)))
D. ((-7 * -6 * 2 * -8) <= (20 * -15) <= (2 ** 2)) and ((泰国位于南美洲。) and (俄罗斯位于大洋洲。))
E. not (not (埃及位于非洲。))
F. (((10 * 6 - -2 * 2) == (6 - 16)) or ((16 + 1... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 25729975,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (-8 + -15) == (-11 + -14)\nB. not (((9 * -5 - -1 * -7) >... |
logic-v2 | 研究以下逻辑语句：
A. 1948年奥运会在洛杉矶举办。
B. (木星是距离太阳第5近的行星。) and (((-7 * -5) <= (24 % 10) <= (-16 * 19)) or ((-17 + 11) <= (-20 + 2)))
C. 丹麦的货币是克朗。
D. ((伦敦大火发生在1666年。) and (氯的化学符号是Cl。)) and (((-1 * 3 + -1 * -8) < (10 + -4)) or ((2 ** 2) <= (9 * -10 + 5 * -1)))
E. (not not ((0 - -1) <= (-20 - 14))) or (火星是距离太阳第4近的行星。)
F. (木星是距离太阳第... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 62472718,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. 1948年奥运会在洛杉矶举办。\nB. (木星是距离太阳第5近的行星。) and (((-7 * -5) <= (24 %... |
logic-v2 | 审视以下逻辑表达式：
A. ((木星是距离太阳第5近的行星。) or ((人体有206块骨头。) or ((71能被5整除。) or ((11 * -13) < (-19 - -1))))) or (秘鲁的首都是利马。) or ((not not (not (沙特阿拉伯位于欧洲。))) or (1933年是闰年。))
B. not not (((铜在常温下是固体。) or (十一月有30天。)) or ((-2 - -16) == (49 % 4)) or ((not not ((-1 * -4) < (1 ** 2) < (-6 * -2 * -6 * -4))) or (镍的化学符号是Ni。)))
C. (((碳的化学符号是N... | {
"game_data": {
"answer": "A,B,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 29270497,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((木星是距离太阳第5近的行星。) or ((人体有206块骨头。) or ((71能被5整除。) or ((11 * -1... |
logic-v2 | Evaluate each expression below:
A. not ((-18 * -14) > (-3 * 0))
B. not ((not not ((14 % 7) >= (3 ** 1))) or (not ((41 % 10) <= (20 * 8) <= (4 * 8 * 6 * -1))))
C. ((4 ** 3) <= (2 * 9 * 3 * 7)) or ((((20 * -2) >= (7 - -10)) or ((-8 + -16) == (19 - -2))) or (((0 - 7) <= (16 * 4) <= (7 * -6 * -10 * 5)) or (The 2008 Olympi... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 10016348,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not ((-18 * -14) > (-3 * 0))\nB. not ((not ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (Mercury is the 1st planet from the Sun.)
B. ((not not ((-1 + -12) != (15 + -11))) and (((0 * -20) != (-20 * -18)) or ((44 % 1) < (16 * -13) < (6 * 0 - 6 * -4)))) or (((The currency of New Zealand is the Dollar.) or (Earth is the ... | {
"game_data": {
"answer": "A,B,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 7586061,
"true_count": 7
},
"question": "Evaluate the following boolean expressions and select the ones that are ... |
logic-v2 | Analyze these boolean expressions:
A. (not ((The capital of Philippines is Manila.) or ((3 - 1) != (0 - 15)))) and (not not (not not ((2069 is a leap year.) or (The currency of Singapore is the Peso.))))
B. not not ((((The 1924 Olympics were held in Moscow.) or (The chemical symbol for Uranium is Cr.)) or (((1946 is a... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 30621744,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (not ((The capital of Philippines is M... |
logic-v2 | Given the following boolean expressions:
A. ((((Oxygen is necessary for human survival.) or (((-6 * 10 + -1 * 2) < (-4 - 11)) or ((13 - 8) <= (19 * 11)))) or ((-15 - 12) >= (-8 * -2)) or (not (not (The currency of Singapore is the Real.)))) and (((214 is a perfect square.) or (Antarctica is the coldest continent.)) or... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 18129604,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. ((((Oxygen is necessary for human ... |
logic-v2 | Consider the following logical expressions:
A. (not not ((not ((-5 * 9 - -8 * 0) <= (-19 - 9))) or ((The currency of European Union is the Krone.) or ((((10 * -20) <= (4 ** 2)) or ((-11 * -15) >= (4 ** 1))) or (The human body has 150 bones.))))) and ((not not ((A cat has 4 legs.) or (not not (not not (1993 is a leap y... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 63816062,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (not not ((not ((-5 * 9 - -8 * ... |
logic-v2 | 给定以下布尔表达式：
A. 氧的化学符号是H。
B. not not (not (钴的化学符号是H。))
C. not not (not (第二次世界大战开始发生在1938年。))
D. ((1936年奥运会在洛杉矶举办。) and (西班牙的首都是马德里。)) and (苏联解体发生在1986年。)
E. (8 * -9) == (-2 * 10 - 0 * -8)
F. (第二次世界大战开始发生在1939年。) and (not not (哥伦比亚位于南美洲。))
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": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 19515846,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. 氧的化学符号是H。\nB. not not (not (钴的化学符号是H。))\nC. not not (not (第二次世... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((14 % 9) > (5 * -10 - 4 * 3)) and (((9 - -11) < (22 % 3)) or ((-1 - 9) >= (2 ** 2))) and (not ((1952年奥运会在赫尔辛基举办。) and ((-9 - 4) > (10 * 6 + 1 * -9))))) and (((-12 - 20) != (40 % 10)) or (((14 * 2) <= (4 ** 3) <= (4 * 6 + 4 * 10)) and (葡萄牙的首都是都柏林。)) or ((((9 * 5 + -3 * -9) > (-16 - 4)) and ((1 * ... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 13732951,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((14 % 9) > (5 * -10 - 4 * 3)) and (((9 - -11) < (22 % 3... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((((not ((墨西哥位于北美洲。) or ((-5 * 7) != (15 + -7)))) and ((2 % 1) < (-19 + -12))) and ((not (俄罗斯位于非洲。)) and (木星是距离太阳第2近的行星。)) and (not (((泰国位于亚洲。) and (2020年奥运会在慕尼黑举办。)) and ((德国位于南极洲。) or ((12 - -11) < (-11 - -13)))))) and (not (((2022年是闰年。) or ((氧气在常温下是气体。) and ((-17 + -1) >= (13 * -8)))) or ((11 ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 74781461,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not not ((((not ((墨西哥位于北美洲。) or ((-5 * 7) != (15 + -7)))) and ((2 ... |
logic-v2 | 审视以下逻辑表达式：
A. not (((not ((19 + -14) < (1 + 18))) and (((-10 + 18) >= (-10 * -7 * 6 * 2)) and ((3 * -7 - 9 * -5) != (7 + 6)))) and (not (氦气在常温下是气体。)) and (2004年奥运会在雅典举办。))
B. (not ((((4 * -2 + -8 * 0) > (6 - 6)) and ((10 * -2 * -10 * -2) <= (6 - -10) <= (10 * -2 - 7 * 8))) and ((3小于等于33。) or (日本的首都是东京。)))) or (not not... | {
"game_data": {
"answer": "A,B,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 89532068,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. not (((not ((19 + -14) < (1 + 18))) and (((-10 + 18) >= (-... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((((19 - 5) <= (-4 * -6 * 5 * 8)) or (泰国的首都是曼谷。)) or ((1 * -9 + -10 * 2) < (15 - -12)))
B. ((14 - -12) > (3 - -9)) or ((6 + 0) != (19 + -11))
C. not not (not not (((20 % 9) <= (-18 + -12) <= (2 ** 1)) or (汞的化学符号是Ti。)))
D. (not ((越南的货币是瑞士法郎。) and ((47 % 9) >= (-12 - -13)))) or ((((-1 * 7 + -1 * 7)... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 21390101,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not not ((((19 - 5) <= (-4 * -6 * 5 * 8)) or (泰国的首都是曼谷。)) or (... |
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 (((-9 * 3 * 2 * -2) <= (20 - -18)) or (not not (not not (中国的货币是里拉。))))) and ((加拿大位于北美洲。) or (2058年是闰年。)) and ((not (((13 - -8) > (-1 - 11)) and ((-5 * -7 - -3 * 5) == (41 % 5)))) and ((not (not ((-9 * 3 + 5 * -6) > (5 ** 3)))) and ((4 * -3 * -3 * 10) != (-8 * 7 * 8 * 0)))))
B... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 59232812,
"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 (((-9 * 3 * 2 * -2) <= (20 - -18)... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((((The chemical symbol for Lead is N.) and (Neptune is the 8th planet from the Sun.)) or (((2 * 7) < (2 ** 2) < (-18 * 10)) and ((9 + -17) <= (-19 * 19)))) and ((-9 + 10) <= (1 + 6)) and (((6 + 17) <= (-15 * -10)) and (((3 + -12) >= (7 *... | {
"game_data": {
"answer": "A,B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 83210238,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | 给定以下布尔表达式：
A. not not (not ((not not ((-2 - -16) > (-9 * 4 * 1 * -9))) and (not not ((not not ((8 + -3) < (-7 * -3 * 7 * -4))) and (冰在常温下是液体。)))))
B. (not (not (not (钙的化学符号是Al。)))) or (not not (((not not (92大于21。)) or (not not (((3 ** 2) > (-17 - 2)) or (肯尼亚位于非洲。)))) or (((15 * -10) <= (-12 + -11) <= (-9 * -9 - 4 * 0)... | {
"game_data": {
"answer": "A,B,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 16339624,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. not not (not ((not not ((-2 - -16) > (-9 * 4 * 1 * -9))) a... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (not not (not (not ((not not (1896年奥运会在罗马举办。)) and ((0 * -4 - -9 * -2) != (4 ** 2))))))
B. (not ((((菲律宾的首都是马尼拉。) or (not not ((-13 * -14) < (-10 * 7 - 8 * -10)))) and (((91小于等于90。) or (俄罗斯位于欧洲。)) or ((人类首次登月发生在1969年。) or (1980年奥运会在莫斯科举办。)))) and (not not (1920年奥运会在安特卫普举办。)))) and (not (not not ... | {
"game_data": {
"answer": "A,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 39366949,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (not not (not (not ((not not (1896年奥运会在罗马举办。)) and (... |
logic-v2 | 给定以下布尔表达式：
A. not ((not not (not not (1984年奥运会在雅典举办。))) and (not (2031年是闰年。)) and ((11 + -3) != (-16 + 19)))
B. ((((土星是距离太阳第6近的行星。) and (钻石由碳元素组成。)) or ((-14 + -17) == (7 - 15))) or (澳大利亚的货币是澳元。) or (not (not (木头在常温下是固体。)))) and (not ((not not (镁的化学符号是Si。)) or (not ((-19 + 9) >= (2 ** 3)))))
C. not ((声音在真空中传播更快。) or (... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 43418291,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. not ((not not (not not (1984年奥运会在雅典举办。))) and (not (2031年是闰年。)) ... |
logic-v2 | 评估以下每个表达式：
A. ((((((5 % 4) >= (6 * -8)) and ((-16 + -18) > (-4 * 7 - -6 * 3))) or (not ((15 - -20) > (14 * 19)))) and ((not not (韩国位于亚洲。)) and (奥地利的首都是布达佩斯。))) and (not (((木头在常温下是气体。) or (新西兰的货币是比索。)) or (not (美国位于南美洲。))))) and ((not not ((27大于54。) or (not not (氯的化学符号是Cl。)))) and (((1984年奥运会在悉尼举办。) and ((锌的化学符号是Zn。) a... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 80089822,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. ((((((5 % 4) >= (6 * -8)) and ((-16 + -18) > (-4 * 7 - -6 * 3))) o... |
logic-v2 | Review these logical expressions:
A. not ((not ((Saturn is the 4th planet from the Sun.) and (((24 % 7) <= (0 * 3 - 2 * 6) <= (-8 - 7)) or ((3 * 8 - -2 * 8) > (3 * -16))))) or (not not ((-9 + -7) > (2 ** 3))) or (((((-11 + 18) <= (20 + 9)) or ((20 - 13) > (12 - -11))) or ((36 % 2) != (7 * -9 - 6 * -7))) or (not not ((... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 95989169,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not ((not ((Saturn is the 4th planet from... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not ((((The chemical symbol for Oxygen is O.) and (There are 30 days in September.)) and ((1 * 4 * -2 * 5) >= (-9 - -19))) or ((26 % 2) > (13 + -14))))
B. not not ((((not not ((-9 * 4 + -3 * -5) <= (9 * -16) <= (3 * -9 - -1 * 0))) or (The 1952 Olympics were held i... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 86173414,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not ((((The chemica... |
logic-v2 | 研究以下逻辑语句：
A. (((not not (not ((6 * 0 * 9 * -1) > (-12 + -14)))) or (not not (铜在常温下是气体。))) and (not not ((not not ((5 * 7 + -5 * -5) >= (-7 + 7))) and ((鱼有0条腿。) and ((-11 - -4) < (-2 + 6)))))) and (((not (汞在常温下是液体。)) and (((-12 * 4) != (-5 - -13)) or ((-2 * 1 + -4 * 3) >= (13 - -16)))) and (not not (加拿大位于北美洲。))) and (n... | {
"game_data": {
"answer": "C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 9332952,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. (((not not (not ((6 * 0 * 9 * -1) > (-12 + -14)))) or (not not... |
logic-v2 | 审视以下逻辑表达式：
A. (((银的化学符号是S。) and ((-9 * -9 - 3 * 5) != (3 ** 2))) and (((-17 - 9) >= (7 * -10 - -6 * 1)) or ((-18 * 4) == (-12 - -14)))) or ((2016年奥运会在里约热内卢举办。) or ((-7 + -13) >= (-3 + -9)))
B. (94能被11整除。) and ((-8 + 4) < (5 + 11) < (2 * 3))
C. not (((金星是距离太阳第5近的行星。) and ((-1 * -2 * -5 * -10) > (-11 - 19))) and (not ((... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 61541232,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (((银的化学符号是S。) and ((-9 * -9 - 3 * 5) != (3 ** 2))) and (((-17 ... |
logic-v2 | 下面是几个布尔表达式：
A. (((1984年奥运会在洛杉矶举办。) and ((19 + 15) < (8 * 0 + -6 * -10) < (-13 - -17))) and ((((鲸鱼是哺乳动物。) or ((-6 * 8) < (18 - 20) < (17 % 10))) and (地球是距离太阳第5近的行星。)) or (not not ((4 + 19) >= (-6 - -18))))) or (not not (火星是距离太阳第2近的行星。)) or ((((((1 ** 1) != (-7 * 1 * 4 * 0)) or (现代奥运会首届举办发生在1898年。)) and (not not (钻石在常温下... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 58060801,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (((1984年奥运会在洛杉矶举办。) and ((19 + 15) < (8 * 0 + -6 * -10) < (-1... |
logic-v2 | 研究以下逻辑语句：
A. not ((2083年是闰年。) or ((9 * -19) < (-5 * -10 + -4 * -9) < (4 * 3 * -6 * 4)))
B. 中国的货币是人民币。
C. ((1912年奥运会在斯德哥尔摩举办。) or (氦气在常温下是气体。)) or (((-13 - -10) < (15 + -11)) and ((2 * -9 - -9 * 5) < (-2 * -7 * 9 * -9)))
D. (-1 - 3) >= (18 + -3)
E. not (not not ((1 + 6) < (9 - -18)))
F. 45能被12整除。
哪些语句为真？在 \boxed{} 中填入... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 52569126,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not ((2083年是闰年。) or ((9 * -19) < (-5 * -10 + -4 * -9) < (4 * 3 ... |
logic-v2 | 评估以下每个表达式：
A. 人体有206块骨头。
B. (not (not (not ((((28 % 6) == (3 ** 1)) and (埃及位于欧洲。)) or (金星是距离太阳第2近的行星。))))) and (((not (意大利位于欧洲。)) and (not not ((((-8 * -2) <= (-10 * 2 * 5 * 9)) or (韩国的货币是人民币。)) and (not not (企鹅能飞翔。))))) and ((not (((金星是距离太阳第2近的行星。) or (苍蝇是哺乳动物。)) or (not not (1910年是闰年。)))) or (((-9 * 0 * 9 * -4) < (-... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 45195499,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. 人体有206块骨头。\nB. (not (not (not ((((28 % 6) == (3 ** 1)) and (埃及位于欧洲... |
logic-v2 | 评估以下每个表达式：
A. (not (not (((地球上一天是24小时。) or (2008年奥运会在墨尔本举办。)) or (阿根廷的货币是索尔。)))) and (((not (not ((-8 * -6 + 2 * -1) == (-1 * -1)))) and (not not (莱特兄弟首次飞行发生在1903年。))) or (((铁的化学符号是Fe。) or ((氧气对人类生存是必需的。) or ((9 * 3 * 4 * -4) == (3 * 8 * -1 * 10)))) or ((1 + -15) < (8 + -13) < (5 + -7))))
B. ((not not (not (not not (2... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 84546487,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (not (not (((地球上一天是24小时。) or (2008年奥运会在墨尔本举办。)) or (阿根廷的货币是索尔。))... |
logic-v2 | 评估以下每个表达式：
A. (not (not not (肯尼亚位于欧洲。))) and ((((澳大利亚位于南美洲。) or (尼日利亚的货币是奈拉。)) or ((((46 % 2) != (-17 + 11)) or ((-7 * -7) == (-6 * 13))) or (not not (1980年奥运会在圣路易斯举办。)))) or (not not (((4 + -12) < (2 * -7 + 0 * -1)) and ((土星是距离太阳第6近的行星。) or (1948年奥运会在伦敦举办。)))))
B. (((not not (氖的化学符号是Cu。)) and (not ((14 * 3) < (10 * 4... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 22358338,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (not (not not (肯尼亚位于欧洲。))) and ((((澳大利亚位于南美洲。) or (尼日利亚的货币是奈拉。))... |
logic-v2 | 给定以下布尔表达式：
A. not not (((第一次世界大战开始发生在1909年。) or (((3 * -5 * -1 * -9) >= (19 + -11)) or (not not ((-12 + -20) >= (9 + -5))))) or (not not ((-4 + 20) < (33 % 3))))
B. ((not not ((not ((8 - -5) <= (1 ** 3))) or (not ((-20 - -20) != (1 - -6))))) and ((not (((-2 + 6) < (4 ** 1)) or ((-19 - 0) <= (10 * -18)))) or (not not (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 87526391,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not not (((第一次世界大战开始发生在1909年。) or (((3 * -5 * -1 * -9) >= (19 + -1... |
logic-v2 | Study the following logical statements:
A. ((The capital of Peru is Bangkok.) or (Sharks are mammals.) or ((((3 + 0) <= (9 + -4)) and (Chile is in South America.)) or (There are 30 days in December.))) or (((((-3 * -4 * -3 * 6) > (50 % 10)) and (The chemical symbol for Mercury is Hg.)) and (not not ((-2 + -16) < (4 **... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 40873813,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. ((The capital of Peru is Bangko... |
logic-v2 | 评估以下每个表达式：
A. not not ((not not (((((-18 * 20) <= (13 * 12) <= (11 + -18)) and (海王星是距离太阳第8近的行星。)) and ((299是完全平方数。) or ((17 * -3) <= (18 - -13) <= (15 - 6)))) or ((not not (海王星是距离太阳第3近的行星。)) or ((-5 * 3) <= (-8 + 6))))) or ((not (not not (((-14 * -5) >= (8 % 1)) or ((-11 * 9) < (34 % 10))))) and ((not ((7 % 6) >= (-15... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 8771666,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. not not ((not not (((((-18 * 20) <= (13 * 12) <= (11 + -18)) an... |
logic-v2 | 研究以下逻辑语句：
A. (((1896年奥运会在雅典举办。) and ((120是奇数。) or ((17 - -20) < (0 + -19)))) and (not ((氯的化学符号是Cl。) and (金在常温下是液体。)))) and ((not (企鹅能飞翔。)) and ((太平洋是最大的海洋。) or ((38 % 7) >= (5 + 5)))) and (not ((水星是距离太阳第1近的行星。) or (中国的货币是比索。)))
B. (((5 * -5 * -8 * -9) == (-2 * -5 + -4 * -5)) and ((17 % 9) <= (43 % 10) <= (-7 + 3))) or... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 40659590,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (((1896年奥运会在雅典举办。) and ((120是奇数。) or ((17 - -20) < (0 + -19)))) a... |
logic-v2 | 分析以下逻辑表达式：
A. not (((1968年奥运会在墨西哥城举办。) or (((6 + -4) <= (17 - -5)) or ((19 - -6) != (-8 * -18)))) and (((48小于等于53。) or ((-2 * 0 + 4 * 10) == (7 * -17))) and ((10 * 9) < (3 ** 2) < (-1 * -1 + -1 * -7))))
B. (not ((1 ** 1) < (17 - -11) < (-1 - 13))) and (((not not (俄罗斯位于非洲。)) or (not not ((5 * 2 - -9 * -5) <= (2 * 0 - 3... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 32563897,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not (((1968年奥运会在墨西哥城举办。) or (((6 + -4) <= (17 - -5)) or ((19... |
logic-v2 | 给定以下布尔表达式：
A. (((((氮的化学符号是N。) and (俄罗斯的首都是基辅。)) or (not ((7 * 18) >= (-3 + 12)))) or (not ((八月有31天。) and ((2 - -19) > (-6 * -3 * -9 * -2))))) and ((-6 * 2 + -8 * -9) <= (-10 * -1 * 9 * -6)) and (not (木星是距离太阳第5近的行星。))) and (not ((月球自己发光。) or ((not not (哥伦比亚位于南美洲。)) and ((植物通过光合作用产生氧气。) or (氦气在常温下是气体。)))))
B. not ((not ... | {
"game_data": {
"answer": "B,C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 92892162,
"true_count": 6
},
"question": "给定以下布尔表达式：\n\nA. (((((氮的化学符号是N。) and (俄罗斯的首都是基辅。)) or (not ((7 * 18) >= (... |
logic-v2 | 研究以下逻辑语句：
A. (((美国宣布独立发生在1786年。) and (not (火星是距离太阳第6近的行星。))) and ((四月有30天。) and (金星是距离太阳第5近的行星。)) and (((挪威的首都是奥斯陆。) and (128是偶数。)) and (not ((3 ** 2) > (5 ** 2))))) and (not not (((汞的化学符号是Hg。) or (法国的首都是巴黎。)) and ((-13 - -6) > (-17 * -16))))
B. not ((波兰的首都是莫斯科。) or ((16 + 7) >= (16 % 2)) or (((埃及位于大洋洲。) or (月球自己发光。))... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 26637776,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (((美国宣布独立发生在1786年。) and (not (火星是距离太阳第6近的行星。))) and ((四月有30天。) and ... |
logic-v2 | Below are several boolean expressions:
A. not not ((((The currency of Mexico is the Peso.) or ((The capital of Peru is Lima.) or (The 1920 Olympics were held in Antwerp.))) or (The human body has 206 bones.)) or ((((5 ** 3) != (11 * 3)) or ((There are 29 days in August.) or (There are 30 days in September.))) and (not... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 70507276,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not ((((The currency of Mexi... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not ((((地球上一天是24小时。) and (((-12 - 11) != (3 * -6)) and (((20 * 19) > (-2 * -3 * 7 * 4)) or (82小于等于3。)))) and (((17 * 18) != (-3 + -18)) or ((not not (阿根廷位于南美洲。)) and ((-9 - 9) < (12 + 1) < (19 % 3))))) or ((not (((钻石在常温下是固体。) or ((7 * -3 * 8 * -6) <= (-4 * 5 + 5 * 3))) or (智利的首都是墨西哥城。))) a... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 39652294,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not ((((地球上一天是24小时。) and (((-12 - 11) != (3 * -6)... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((28是偶数。) and (铜的化学符号是N。)) or (((1918年是闰年。) and (螃蟹有10条腿。)) or (((-10 + 8) >= (-13 - 5)) and (欧盟的货币是雷亚尔。))) or (((((-19 + 11) > (9 - -17)) and ((-10 * -9) <= (-14 - 20) <= (-8 * 3 + -9 * -6))) and (96能被9整除。)) or (not ((3 ** 2) < (10 * 5 * 1 * -9) < (-15 + 20))) or (not not ((-20 * -10) == (-5 ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 67240381,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((28是偶数。) and (铜的化学符号是N。)) or (((1918年是闰年。) and (螃蟹有1... |
logic-v2 | 评估以下每个表达式：
A. not not ((((10 * 6 - -4 * 10) == (-16 - -12)) and ((3 ** 2) > (-9 * -1 * 10 * -8))) or ((莱特兄弟首次飞行发生在1903年。) and (韩国的首都是马德里。)))
B. (not (((-18 + 17) != (-7 * 0 + 6 * 3)) and (铁的化学符号是Ag。))) or (not ((-6 * 20) < (11 - 9))) or (49的平方根是6。)
C. (not (not (马来西亚的首都是吉隆坡。))) and (地球是距离太阳第7近的行星。)
列出所有值为 True 的选项，在 ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 87391427,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not ((((10 * 6 - -4 * 10) == (-16 - -12)) and ((3 ** 2) > (-9 ... |
logic-v2 | 下面是几个布尔表达式：
A. not (((海王星是距离太阳第3近的行星。) or (意大利位于非洲。)) and ((2009年是闰年。) or ((-8 * 7 + -1 * 9) < (-4 * 7) < (-10 * 10 + -7 * -2))))
B. (((菲律宾的首都是马尼拉。) or ((-1 - 13) <= (6 * -1 - -3 * -1))) or (((-11 * -15) <= (-10 * 0) <= (36 % 9)) or (1952年奥运会在首尔举办。))) and (not not ((马有0条腿。) and ((-17 + 5) <= (-4 * 4 + 3 * -10))))
C. (... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 18682448,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not (((海王星是距离太阳第3近的行星。) or (意大利位于非洲。)) and ((2009年是闰年。) or ((-8... |
logic-v2 | 考虑以下布尔表达式：
A. (10 * -5 + 6 * -5) < (-4 * 4)
B. (钻石在常温下是固体。) or ((意大利位于欧洲。) and (智利位于南美洲。))
C. ((1914年是闰年。) or (波兰的货币是兹罗提。)) or (not not ((19 * -4) != (-4 + 18)))
D. (鸡是鸟类。) and (not ((5 * -10) <= (-13 - 17) <= (2 * 9 + 4 * 2)))
E. 加拿大位于北美洲。
F. 八月有28天。
G. 埃及的货币是埃及镑。
哪些表达式的值为 True？请在 \boxed{} 中给出答案，用逗号分隔选项标识。 | {
"game_data": {
"answer": "A,B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 38913109,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. (10 * -5 + 6 * -5) < (-4 * 4)\nB. (钻石在常温下是固体。) or ((意大利位于欧... |
logic-v2 | 研究以下逻辑语句：
A. not not ((not (((not not (墨西哥位于大洋洲。)) or (巴西的货币是兹罗提。)) and ((挪威的货币是雷亚尔。) or (丹麦的货币是克朗。)) and ((not not (银在常温下是固体。)) or ((19 + -20) < (14 - -9))))) and (not not (not ((1986年是闰年。) and ((电流比光速更快。) and ((16 * 0) == (8 * 5)))))))
B. (not (not (not ((光速比声速快。) and (((6 * 9 * -10 * 9) == (24 % 2)) or ((33 % 7) >=... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 45913938,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. not not ((not (((not not (墨西哥位于大洋洲。)) or (巴西的货币是兹罗提。)) and ((... |
logic-v2 | 检验这些表达式：
A. (((-19 * -17) != (5 + -1)) and (125是奇数。)) or (((-7 + 2) < (-6 * -16)) and ((6 * -3) <= (-11 + 6)))
B. not not ((氧气对人类生存是必需的。) or (沙特阿拉伯的货币是澳元。))
C. not (191是偶数。)
D. (7 - 8) == (16 + -14)
E. (((-2 * -10) == (0 - 18)) and (油在常温下是液体。)) or (日本的货币是埃及镑。)
F. ((1996年奥运会在亚特兰大举办。) or ((18 * -19) >= (3 ** 1))) or ((-... | {
"game_data": {
"answer": "A,B,C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 92034961,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. (((-19 * -17) != (5 + -1)) and (125是奇数。)) or (((-7 + 2) < (-... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not (((((The Moon orbits the Earth.) or (The capital of India is New Delhi.)) and (not ((19 % 2) <= (-20 * -2)))) and (The chemical symbol for Chlorine is Na.)) or (((15 * 6) == (10 + 13)) and ((not ((4 - -9) > (-1 * 6 - 5 * -1))) and ((54 is an odd number.) or (L... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 40466475,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not (((((The Moon orbits ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((((-9 - 7) <= (5 - 13) <= (4 ** 1)) or ((-18 - 9) == (-17 * 13))) or (((14 + 18) != (3 ** 3)) and (钠的化学符号是Co。))) and (冰在常温下是固体。) and ((0 * -2 + 7 * -9) != (43 % 4))) and ((古巴的首都是哈瓦那。) and (((14 + 7) <= (-7 + -18)) and (67大于41。)) and (((13 - -10) >= (-11 + 13)) and (秘鲁位于欧洲。)))) and ((not ((((-2 +... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 65999205,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((((-9 - 7) <= (5 - 13) <= (4 ** 1)) or ((-18 - 9) == (-... |
logic-v2 | Examine these expressions:
A. (not (not not (((not not (Japan is in North America.)) and (The French Revolution began occurred in 1789.)) or ((((-19 + 9) > (2 ** 2)) and ((-3 * 7 + 2 * 6) >= (-14 - 0))) or ((Earth is the 2nd planet from the Sun.) and ((-1 * -1 - -2 * -8) < (-18 - 11) < (-6 * 9 + -4 * 4))))))) or (not ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 48216092,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (not (not not (((not not (Japan is in North ... |
logic-v2 | Consider the following logical expressions:
A. ((2 ** 3) != (20 - -19)) or (((-4 * -9 - 0 * -2) <= (6 * 2)) and (1952 is a leap year.))
B. (Uranus is the 7th planet from the Sun.) or ((Nigeria is in Europe.) or ((20 * 14) != (6 - -10)))
C. The currency of Egypt is the Ruble.
D. not ((A frog has 4 legs.) and ((5 ** 1) ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 59662131,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. ((2 ** 3) != (20 - -19)) or (((... |
logic-v2 | Evaluate each expression below:
A. (not (not not (not not (not not ((7 * 9 + -8 * 6) < (4 * 4 - -1 * 3)))))) and (((not (not not ((29 % 10) >= (-12 * -9)))) and ((The capital of Ukraine is Kyiv.) and ((The currency of Czech Republic is the Koruna.) and (The 1988 Olympics were held in Los Angeles.)))) or ((not (The cap... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 75457118,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (not (not not (not not (not not ((7 * 9 + -... |
logic-v2 | 研究以下逻辑语句：
A. 以色列的货币是奈拉。
B. (6 * 4) < (-7 * -14)
C. not ((南极洲是最冷的大陆。) and ((9 * 2 - 1 * -9) == (3 ** 1)))
D. not not (not not (硅的化学符号是P。))
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,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 86156449,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. 以色列的货币是奈拉。\nB. (6 * 4) < (-7 * -14)\nC. not ((南极洲是最冷的大陆。) and ((9... |
logic-v2 | Given the following boolean expressions:
A. (A gecko is an insect.) or (The currency of Nigeria is the Naira.) or (((-15 * -11) < (4 ** 3) < (16 * 5)) and ((The 1984 Olympics were held in Los Angeles.) and (The chemical symbol for Lead is Pb.)))
B. not (not (((4 ** 2) < (8 - -13)) or (31 is divisible by 9.)))
C. (not ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 14451955,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (A gecko is an insect.) or (The ... |
logic-v2 | Study the following logical statements:
A. not not ((Mercury is the 3rd planet from the Sun.) or ((-14 + 9) != (48 % 4)))
B. (18 % 2) == (7 + 2)
C. (not ((4 % 3) < (4 * 2 + -1 * -7) < (-8 + -1))) or (not ((4 * -5 + -3 * 5) <= (3 * 4 * -8 * 1) <= (18 % 7)))
D. ((A swan is a bird.) or ((0 - 3) <= (-13 - 2) <= (-16 * -13... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 49798218,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not not ((Mercury is the 3rd pl... |
logic-v2 | 下面是几个布尔表达式：
A. ((瑞士的首都是伯尔尼。) and (not not (((3 - -5) <= (-2 * -8 - -7 * 4)) or ((2 ** 2) >= (18 * -9))))) and (not (not not (火星是距离太阳第3近的行星。))) and ((2012年奥运会在伦敦举办。) and (not (瑞士的货币是日元。)) and (法国的首都是华沙。))
B. ((金星是距离太阳第2近的行星。) or ((韩国的货币是韩元。) and (柏林墙倒塌发生在1989年。)) or (not (((-2 - 0) <= (15 * -10)) and ((36 % 2) <= (-3 +... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 44615791,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. ((瑞士的首都是伯尔尼。) and (not not (((3 - -5) <= (-2 * -8 - -7 * 4)) or... |
logic-v2 | Analyze these boolean expressions:
A. ((((Mercury is the 5th planet from the Sun.) or ((1 ** 1) >= (28 % 8))) and (not (Mars is the closest planet to the Sun.))) or (2066 is a leap year.)) and (not not ((not not ((2 ** 1) <= (2 ** 1) <= (4 ** 1))) and (not not (The capital of Norway is Oslo.))))
B. not not (((2 * 9 * ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 53891694,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. ((((Mercury is the 5th planet from the Sun... |
logic-v2 | 考虑以下布尔表达式：
A. (not not (not ((肯尼亚位于非洲。) or ((蟑螂是爬行动物。) and ((4 ** 3) == (11 + 7)))))) or (not not (((((14 - -4) >= (2 ** 2)) or (人类首次登月发生在1968年。)) or (not not (南极洲是最冷的大陆。))) and ((((1 ** 2) != (-16 - -8)) or (挪威的货币是克朗。)) or (((17 + -11) > (11 + -9)) or ((-9 * -1) <= (-11 + -19))))))
B. ((not not ((-10 * 10 - -2 * -6) ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 99516720,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not not (not ((肯尼亚位于非洲。) or ((蟑螂是爬行动物。) and ((4 ** 3) == (11 ... |
logic-v2 | 给定以下布尔表达式：
A. 天王星是距离太阳第2近的行星。
B. 1956年奥运会在墨尔本举办。
C. (((43 % 8) <= (15 * -14)) and (柏林墙倒塌发生在1994年。)) and (((17 + -10) == (2 * 8 + -2 * -8)) or (银的化学符号是Na。))
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": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 79582918,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. 天王星是距离太阳第2近的行星。\nB. 1956年奥运会在墨尔本举办。\nC. (((43 % 8) <= (15 * -14)) ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not ((韩国的首都是雅典。) and ((5 + -7) <= (8 - 7) <= (4 * 4 * -10 * 7)))) or (not ((-5 * -20) != (3 ** 1)))
B. ((((11 % 5) <= (5 ** 1) <= (3 ** 1)) and (1920年奥运会在安特卫普举办。)) or (((35 % 10) != (-10 * -9 - -7 * -3)) or ((-20 - 10) != (-6 * -3)))) and (人体有206块骨头。)
C. not not ((4 - 14) < (-2 * -1 * 0 * 8) < (-1... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 31736745,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not ((韩国的首都是雅典。) and ((5 + -7) <= (8 - 7) <= (4 * 4 * -... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (-7 * 1 - -7 * -1) != (14 + -12)
B. (-20 + -14) == (2 * 14)
C. (1904年奥运会在圣路易斯举办。) and ((氧的化学符号是P。) or ((5 * 3) != (-1 * -3 + -7 * 1)))
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 87234878,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (-7 * 1 - -7 * -1) != (14 + -12)\nB. (-20 + -14) == (2 * 1... |
logic-v2 | Given the following boolean expressions:
A. not ((-11 * -11) < (14 - -11))
B. (((The 1988 Olympics were held in Rio de Janeiro.) and (Gold is a liquid at room temperature.)) and ((A sheep is a fish.) and (Oxygen is necessary for human survival.))) or (not not (Mars is the 4th planet from the Sun.)) or (not not (The ca... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 19853554,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not ((-11 * -11) < (14 - -11))\nB.... |
logic-v2 | Below are several boolean expressions:
A. not not ((not ((((16 - 0) <= (-3 * 2)) and ((5 ** 3) >= (-2 * 8 * 0 * -3))) or (((5 * 10 + 1 * 2) == (9 - -15)) and ((-5 * 8 + -8 * 6) != (26 % 2))))) and (((not not (New Zealand is in Oceania.)) or (((13 * -2) < (1 * -7) < (-9 * -13)) and ((4 ** 2) <= (-12 * -15)))) and (Merc... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 95560910,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not ((not ((((16 - 0) <= (-3 *... |
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 ((((1 ** 3) >= (4 ** 2)) or ((4 * 4 - 10 * 2) >= (-8 * 1 + 5 * 4))) or (not (钙的化学符号是Ca。)))) and (not ((20 - 8) >= (7 * -4))))
B. ((((not (中国的货币是卢布。)) or (not (第一部iPhone发布发生在2007年。))) and ((-9 + -19) <= (34 % 10) <= (-18 * -1)) and ((not not ((-3 * -14) > (5 ** 2))) and (not not (... | {
"game_data": {
"answer": "A,B,C,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 49775770,
"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. not ((not not ((((1 ** 3) >= (4 ** 2)) or ((4... |
logic-v2 | 评估以下每个表达式：
A. (((第一次世界大战结束发生在1918年。) or (((-5 * 9) != (4 % 6)) and ((8 * -8 + 7 * -7) > (28 % 10)))) or ((((-1 + 17) >= (-14 - -18)) and ((-20 + 19) >= (2 ** 1))) and (not not ((19 - 3) > (-5 + -15))))) or (((2073年是闰年。) and (not not (捷克的货币是美元。))) or (韩国的首都是首尔。))
B. ((((49 % 6) != (-4 * -19)) or ((肯尼亚位于非洲。) and ((6 * -... | {
"game_data": {
"answer": "A,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 39250678,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (((第一次世界大战结束发生在1918年。) or (((-5 * 9) != (4 % 6)) and ((8 * -... |
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 ((丹麦的首都是布拉格。) and (10是完全平方数。))) or (((0 - -17) <= (18 + 3)) and ((9 - 12) == (19 * 8))))
B. (not not ((((-12 * 5) <= (-14 * -9)) and ((3 + 19) >= (16 + -10))) or (尼日利亚位于非洲。))) and ((5 ** 3) >= (44 % 2)) and (((2 ** 3) <= (6 * 11)) or (not ((2 ** 3) <= (-8 + -2))) or ((not (19... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 20580373,
"true_count": 2
},
"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 ((丹麦的首都是布拉格。) and (10是完全平方数。))) or ... |
logic-v2 | Evaluate each expression below:
A. ((not not (not ((The chemical symbol for Sodium is U.) or ((-12 - -13) == (13 - -8))))) and ((((A horse has 4 legs.) or ((11 + 20) != (-18 + 3))) and (not not (The chemical symbol for Copper is Cr.))) or (The currency of India is the Pound.) or (Uranus is the 7th planet from the Sun.... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 51021066,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. ((not not (not ((The chemical symbol for So... |
logic-v2 | 审视以下逻辑表达式：
A. (-10 * -1 - -8 * -3) == (-14 - -9)
B. ((比利时的首都是北京。) or (铁在常温下是固体。)) or ((2066年是闰年。) and (柏林墙倒塌发生在1991年。))
C. (((-7 * 10 * 9 * 10) == (3 ** 3)) and (木星是距离太阳第5近的行星。)) or ((铁在常温下是气体。) or ((48 % 10) < (9 - 1)))
D. (((-1 + -8) >= (1 ** 1)) or (智利的货币是比索。)) or ((三月有31天。) or (苍蝇是昆虫。))
E. not ((-18 - -18) != (17 ... | {
"game_data": {
"answer": "B,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 5260006,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. (-10 * -1 - -8 * -3) == (-14 - -9)\nB. ((比利时的首都是北京。) or (铁在常温... |
logic-v2 | 检验这些表达式：
A. ((not not (((9 * -19) > (2 + 8)) or (((15 + 14) == (-17 * -13)) and ((-9 * -5 - 9 * 2) <= (44 % 8))))) or (((((0 * 5 - -2 * 8) == (-4 * -4)) and ((8 + 13) < (36 % 4))) or (not ((9 % 1) == (1 ** 2)))) or ((火星是距离太阳最近的行星。) and (十一月有30天。)) or (not (((-6 * 6) != (7 + 5)) and (意大利的首都是罗马。))))) or (((爱尔兰的首都是都柏林。) ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 55072680,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. ((not not (((9 * -19) > (2 + 8)) or (((15 + 14) == (-17 * -13)) ... |
logic-v2 | Given the following boolean expressions:
A. not not (not not (A cod is a fish.))
B. The square root of 4 is 2.
C. The currency of India is the Rupee.
D. (((-9 * -2 + -6 * -5) != (1 ** 1)) and ((-10 * 2 + 4 * -7) >= (-15 - -20))) or (((1 ** 2) >= (19 * -14)) and (The currency of Norway is the Koruna.))
Select all that... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 24864507,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not not (not not (A cod is a fis... |
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