env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Given the following boolean expressions:
A. (not ((((30 is less than or equal to 68.) or (The currency of Saudi Arabia is the Forint.)) and ((The 1984 Olympics were held in Athens.) or (The capital of France is Oslo.))) and ((The 2016 Olympics were held in Tokyo.) and (not (Uranus is the 7th planet from the Sun.))))) ... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 48299450,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. (not ((((30 is less than or eq... |
logic-v2 | 检验这些表达式：
A. ((not (((2 * -8 - -2 * 9) == (2 + -9)) or (牛有100条腿。))) or (not (not (金在常温下是固体。)))) and (((-8 * 0 - 5 * -1) > (11 - -8)) or (((8 * 16) >= (-7 * -17)) and ((42 % 8) != (-11 * 1)))) and ((not (海王星是距离太阳第4近的行星。)) or (鲨鱼是哺乳动物。))
B. not (((1 ** 2) >= (1 % 6)) and ((not ((3 ** 2) <= (10 * 4) <= (-7 * 9 + -4 * -3))... | {
"game_data": {
"answer": "A,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 20852242,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. ((not (((2 * -8 - -2 * 9) == (2 + -9)) or (牛有100条腿。))) or (n... |
logic-v2 | Given the following boolean expressions:
A. not not (not ((The 1920 Olympics were held in Moscow.) and ((-6 - 12) <= (2 ** 3))))
B. ((((-3 * -6 * 8 * -10) != (-10 - -4)) or ((0 * 19) != (-10 + -9))) or (not (The Pacific Ocean is the largest ocean.))) or (not (((2 - 13) < (18 - -13)) and (Ice is less dense than liquid ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 76314020,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not (not ((The 1920 Olympics w... |
logic-v2 | Below are several boolean expressions:
A. not not (((10 * 3 - 0 * 10) < (5 ** 1)) or ((((4 * -7 - -3 * -5) != (4 ** 2)) or (A snake has 4 legs.)) and (((17 * 6) < (6 * -4 * 9 * -2)) or ((-20 + 3) == (1 - 10)))))
B. not not (not ((not ((9 + 16) >= (3 * -9 * 4 * 10))) and ((-13 - 13) >= (4 * -10 * -1 * 5))))
C. not (((n... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 172141,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not (((10 * 3 - 0 * 10) < (5 ** ... |
logic-v2 | 分析以下逻辑表达式：
A. ((not (南极洲是最冷的大陆。)) or (not not ((2016年奥运会在墨西哥城举办。) or (蜥蜴是爬行动物。)))) or ((((水蒸气在常温下是液体。) or ((18 - 10) == (11 * 5))) and (not (法国大革命开始发生在1791年。))) or (((9 * 3 * 5 * 0) < (-9 + 15)) or (海王星是距离太阳第8近的行星。)) or (加拿大的货币是越南盾。))
B. ((not not (not not ((-9 + -16) == (-4 - 11)))) and ((((-14 * 2) == (-4 * -5 * -3 ... | {
"game_data": {
"answer": "A,B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 6843911,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((not (南极洲是最冷的大陆。)) or (not not ((2016年奥运会在墨西哥城举办。) or (蜥蜴是爬行... |
logic-v2 | Here are some boolean expressions to evaluate:
A. A lobster has 10 legs.
B. The United States declared independence occurred in 1766.
C. Uranus is the 7th planet from the Sun.
D. not (not (The chemical symbol for Oxygen is O.))
E. The Moon orbits the Earth.
F. not not (A crab has 0 legs.)
Find all expressions that ar... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 90177598,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. A lobster has 10 legs.\n... |
logic-v2 | Examine these expressions:
A. not (not (((Jupiter is the 6th planet from the Sun.) or ((0 * -2 - 6 * -10) != (0 - -18))) and (((-20 - 18) == (-16 * -18)) or (1918 is a leap year.))))
B. (((-6 * -7) >= (3 * 5 - 10 * -10)) and ((The chemical symbol for Oxygen is O.) or (Argentina is in Antarctica.)) and (((8 + 19) >= (-... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 13747406,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not (not (((Jupiter is the 6th planet from the Sun... |
logic-v2 | Examine these expressions:
A. not (((There are 29 days in August.) or (A kangaroo is a mammal.)) and (not ((9 * 1) != (42 % 3))))
B. not ((not (96 is an odd number.)) or (Canada is in South America.))
C. not ((-5 * -10 + -2 * 5) != (19 + -15))
D. ((((7 * -5 * -9 * -7) < (2 * 7 - -2 * 0)) or (The chemical symbol for He... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 76457958,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (((There are 29 days in August.) or (A kan... |
logic-v2 | Evaluate each expression below:
A. (not not (The currency of Malaysia is the Ringgit.)) or (((-4 * 6) <= (5 ** 2) <= (2 ** 2)) or ((7 + 4) != (-6 * -8 + -5 * -8)))
B. not not ((Germany is in North America.) and ((4 ** 1) >= (32 % 3)))
C. (not (Venus is the 5th planet from the Sun.)) and (((20 % 1) >= (18 * 4)) and (Wa... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 73649777,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. (not not (The currency of Malaysia is t... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (not (((Venus is the 6th planet from the Sun.) or (A butterfly has 6 legs.)) and ((Iron is a solid at room temperature.) or (The 2016 Olympics were held in Paris.))))) and (not not (((not ((26 % 7) == (1 + -6))) or (Jupiter is the 5t... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 32405177,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 评估以下每个表达式：
A. (3 ** 2) <= (-13 * 13)
B. (not not (第一次世界大战开始发生在1914年。)) or (((12 * -13) != (-16 + -11)) or (第一次世界大战结束发生在1923年。))
C. (-6 + -13) < (2 ** 3)
D. 捷克的货币是克朗。
E. 天王星是距离太阳第7近的行星。
F. 九月有30天。
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 96337546,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. (3 ** 2) <= (-13 * 13)\nB. (not not (第一次世界大战开始发生在1914年。)) ... |
logic-v2 | 审视以下逻辑表达式：
A. not not (93是偶数。)
B. not not (((铁在常温下是液体。) or ((-16 - -18) <= (2 ** 2))) or ((15 - 15) > (-3 * -9)))
C. (铜在常温下是固体。) or ((((-5 * 10) < (3 + 13)) or ((0 + -18) >= (-2 * -2 * 4 * 3))) or ((8 * -6 * 10 * 6) > (-9 + 10)))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 40957624,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not (93是偶数。)\nB. not not (((铁在常温下是液体。) or ((-16 - -18) <= (2... |
logic-v2 | 分析以下逻辑表达式：
A. not (not (not not ((-16 - 14) < (-7 * -7) < (1 ** 1))))
B. ((-18 - -17) < (2 ** 3)) and ((-6 * -7 * -1 * 9) >= (4 ** 2)) and (((5 ** 2) == (30 % 4)) or ((9 + 20) <= (4 * 4 * -3 * -8) <= (7 + 2)))
C. (not not (((-1 + -1) < (-18 * 19) < (-6 + 12)) or ((-20 - 13) < (19 - 19) < (-5 * -6 + -6 * -8)))) or ((((... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 80325779,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not (not (not not ((-16 - 14) < (-7 * -7) < (1 ** 1))))\nB. ((-1... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not (((12 * -14) != (18 - 12)) or ((现代奥运会首届举办发生在1901年。) or ((3 ** 1) == (6 + 7))))
B. (((3 * -5 * -2 * -7) <= (5 ** 3)) and (not not (智利位于南美洲。))) or ((((17 * 19) == (18 * 14)) or (215是完全平方数。)) and (地球上一天是24小时。))
C. (not (第一部iPhone发布发生在2007年。)) or ((not not (铁在常温下是液体。)) and ((海王星是距离太阳第8近的行星... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 40939080,
"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 not (((12 * -14) != (18 - 12)) or ((现代奥运会首届举办... |
logic-v2 | Review these logical expressions:
A. There are 31 days in November.
B. (-20 + -8) < (2 % 8)
C. (((-7 * -9 + 0 * 6) > (-15 * 0)) or (France is in Europe.)) or (not (A chicken has 8 legs.))
D. ((Saturn is the 6th planet from the Sun.) or ((15 * -7) == (1 * -2))) and (not not ((25 % 10) > (-2 - -8)))
E. (-19 + 0) <= (-14... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 70375581,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. There are 31 days in November.\nB. (-20... |
logic-v2 | 分析以下逻辑表达式：
A. (not not ((((((-7 + 11) <= (11 * 14) <= (4 % 10)) or (1992年奥运会在雅典举办。)) and (not not ((-2 - 3) <= (-9 * -10 + 7 * 9)))) and (1960年奥运会在罗马举办。)) or (((10 * -6 * -8 * -9) <= (12 % 10)) or (not (((2 + -10) > (-15 - 20)) and (1948年奥运会在伦敦举办。)))))) or (not not (not not (铝的化学符号是Al。))) or (not not (not not ((not no... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 12930949,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (not not ((((((-7 + 11) <= (11 * 14) <= (4 % 10)) or (1992年奥运会... |
logic-v2 | Study the following logical statements:
A. (((((-5 * -6 - -9 * -6) == (14 + -17)) and ((5 * 7 + 8 * 2) != (-10 - 12))) or (((16 - 0) == (8 + 2)) or (Peru is in Oceania.))) or (not ((2 * 8 - 4 * 3) < (50 % 4) < (-20 * -16))) or (The currency of European Union is the Euro.)) or ((((Sharks are mammals.) and ((-12 + -12) ... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 64050242,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (((((-5 * -6 - -9 * -6) == (14 + -1... |
logic-v2 | 检验这些表达式：
A. not (奥地利的首都是巴西利亚。)
B. 1912年奥运会在东京举办。
C. (not ((-10 * 4 + -3 * 2) < (49 % 5))) or ((秘鲁位于南美洲。) and (第二次世界大战结束发生在1945年。))
D. ((六月有30天。) or (钾的化学符号是H。)) or (not not (智利的货币是韩元。))
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 81655457,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not (奥地利的首都是巴西利亚。)\nB. 1912年奥运会在东京举办。\nC. (not ((-10 * 4 + -3 * ... |
logic-v2 | 下面是几个布尔表达式：
A. 海王星是距离太阳第8近的行星。
B. 马来西亚的首都是吉隆坡。
C. ((-5 * 8 + -3 * 10) != (11 * 20)) and ((2042年是闰年。) or (南非的货币是比索。))
D. ((11 - 7) > (-9 * 12)) or ((乌龟是爬行动物。) and ((16 % 5) < (36 % 3)))
E. 1956年是闰年。
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 1927664,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. 海王星是距离太阳第8近的行星。\nB. 马来西亚的首都是吉隆坡。\nC. ((-5 * 8 + -3 * 10) != ... |
logic-v2 | 审视以下逻辑表达式：
A. ((((金的化学符号是Au。) or ((-15 - 16) <= (-14 + 9) <= (-9 * -16))) or ((-2 * -8 + -2 * -1) != (14 * -17))) or (((苏联解体发生在1991年。) and (铀的化学符号是Ne。)) or (not ((4 * 4 * 4 * 2) < (10 * 4 - 3 * -9) < (1 * -2 * -2 * -8))))) and (not ((not (水蒸气在常温下是气体。)) or (((3 ** 1) <= (1 ** 3)) or (1976年奥运会在伦敦举办。))))
B. ((((2020年奥运会在... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 69573752,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((((金的化学符号是Au。) or ((-15 - 16) <= (-14 + 9) <= (-9 * -16))) or (... |
logic-v2 | Given the following boolean expressions:
A. (((14 + -6) < (4 ** 3) < (30 % 4)) and (The 1948 Olympics were held in London.)) or ((A lobster has 10 legs.) and (The Sun revolves around the Earth.))
B. The chemical symbol for Platinum is Pt.
C. Jupiter is the 5th planet from the Sun.
D. (-3 * -8 + -8 * 5) < (-18 - -12)
E... | {
"game_data": {
"answer": "B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 40238331,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. (((14 + -6) < (4 ** 3) < (30 %... |
logic-v2 | Review these logical expressions:
A. (3 ** 3) != (-11 - 0)
B. Water boils at 100 degrees Celsius at sea level.
C. (9 + 17) < (-1 * -4 * -6 * 8) < (-11 - -12)
D. (Uranus is the 1st planet from the Sun.) or (((13 + 8) == (-4 * 8)) and (The currency of Indonesia is the Baht.))
E. ((12 * -17) >= (1 * 20)) and (((-12 + 4) ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 81618147,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (3 ** 3) != (-11 - 0)\nB. Water boils at ... |
logic-v2 | 评估以下每个表达式：
A. (((((16 + -3) == (4 ** 1)) and (中国位于亚洲。)) or ((17 * -5) < (35 % 7))) and (not not (157是偶数。)) and (((银的化学符号是C。) and (1952年奥运会在巴塞罗那举办。)) and ((-20 + 0) == (4 * -3)))) or (not ((哥伦比亚位于南极洲。) and (人类是哺乳动物。))) or ((not not (((7 * -15) > (2 * 4 + -10 * -3)) and ((7 - 19) > (15 - -10)))) and (((钻石在常温下是固体。) and (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 56778133,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (((((16 + -3) == (4 ** 1)) and (中国位于亚洲。)) or ((17 * -5) < (35 % 7)... |
logic-v2 | 检验这些表达式：
A. ((175是斐波那契数。) and (现代奥运会首届举办发生在1891年。)) or (((3 - 12) == (-12 * 17)) and (光速比声速快。))
B. (水星是距离太阳第2近的行星。) and (not not (1984年是闰年。))
C. not ((1903年是闰年。) or ((15 * -5) <= (12 % 9) <= (4 ** 3)))
D. (3 + 7) == (-7 * -3 + -7 * 2)
E. ((-8 - -6) != (18 - 15)) and (2024年奥运会在巴黎举办。)
F. ((泰国位于亚洲。) and ((3 * -6 * -8 * 2... | {
"game_data": {
"answer": "E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 20455374,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. ((175是斐波那契数。) and (现代奥运会首届举办发生在1891年。)) or (((3 - 12) == (-12 * ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((((法国位于欧洲。) and (七月有30天。)) and ((太平洋是最大的海洋。) or ((-3 + 19) != (2 * -14)))) or (1896年奥运会在雅典举办。))
B. (not not ((((3 ** 1) < (14 + 18)) or (哥伦布到达美洲发生在1491年。)) and ((加拿大位于南美洲。) or ((-17 + -16) <= (5 ** 3))))) and (((1 ** 2) < (-15 - -10) < (-18 + 13)) and (1928年奥运会在阿姆斯特丹举办。))
C. not not ((((孔雀是鱼类。... | {
"game_data": {
"answer": "E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 19519299,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((((法国位于欧洲。) and (七月有30天。)) and ((太平洋是最大的海洋。) 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 ((-7 - 13) < (9 * 8 - 2 * -7))) and ((57大于12。) and ((3 * -8 * 10 * 8) == (15 % 2))) and (韩国的首都是安卡拉。))
B. (((not (美国位于北美洲。)) or (((-10 - -9) == (5 - 13)) or (罗马尼亚的首都是布加勒斯特。))) or (银的化学符号是Hg。)) and (((-20 * 19) < (43 % 5)) and ((肯尼亚位于亚洲。) or (1960年奥运会在阿姆斯特丹举办。)) and (not (not not (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 39788433,
"true_count": 1
},
"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 ((-7 - 13) < (9 * 8 - 2 * -7))) and ((57大... |
logic-v2 | Analyze these boolean expressions:
A. not (not not ((2 - 10) >= (-4 - -17)))
B. not not ((The capital of Chile is Santiago.) and ((-18 * -6) > (9 - -7)))
C. ((213 is a Fibonacci number.) or ((5 * 9 + -6 * -8) <= (-10 + 10) <= (-6 + -7))) and (The chemical symbol for Aluminum is Na.)
Which of these evaluate to True? P... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 91900188,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not (not not ((2 - 10) >= (-4 - -17)))\n... |
logic-v2 | 审视以下逻辑表达式：
A. (((((69是质数。) or (十一月有30天。)) or ((3 ** 1) < (-14 + -12))) and (2006年是闰年。) and ((4 ** 1) > (5 * 16))) and (((((12 - -7) > (2 + 0)) or (韩国的首都是首尔。)) or (((-11 * 12) <= (13 + -13) <= (2 * 1)) and ((-2 - -2) < (17 + 15)))) and ((伦敦大火发生在1666年。) and ((-9 * -18) <= (10 * 2 + 5 * 0) <= (17 * -18))))) and (not not ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 65162286,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (((((69是质数。) or (十一月有30天。)) or ((3 ** 1) < (-14 + -12))) and (2006... |
logic-v2 | 研究以下逻辑语句：
A. 海王星是距离太阳第8近的行星。
B. (not not ((4 - 17) < (15 + -17) < (4 ** 1))) and ((韩国的首都是渥太华。) or (336是完全平方数。))
C. ((第二次世界大战开始发生在1939年。) and ((2 + 9) != (36 % 5))) and ((鸭子有2条腿。) or (1972年奥运会在慕尼黑举办。))
D. not ((伦敦大火发生在1676年。) and (瑞典的货币是克朗。))
E. ((47 % 4) != (8 - -10)) or (1936年奥运会在蒙特利尔举办。)
哪些语句为真？在 \boxed{} 中填入所有为真的选... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 43546540,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. 海王星是距离太阳第8近的行星。\nB. (not not ((4 - 17) < (15 + -17) < (4 ** 1... |
logic-v2 | Below are several boolean expressions:
A. The capital of South Korea is Brasilia.
B. not ((Neptune is the 7th planet from the Sun.) and ((4 - 6) <= (-9 * 12)))
C. Helium is a gas at room temperature.
D. ((Silver is a liquid at room temperature.) and ((1 ** 3) == (-8 - -4))) and (((8 * 7 - -9 * -6) < (5 ** 3)) and (The... | {
"game_data": {
"answer": "B,C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 22693608,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. The capital of South Korea is Br... |
logic-v2 | 研究以下逻辑语句：
A. not ((((not not ((12 - 7) <= (8 % 9))) and (蜥蜴是爬行动物。)) or (not not ((1 ** 1) == (-13 - 19)))) or (((-4 * 3 * 9 * 3) < (9 + 7)) or (((7 * -8 - 1 * 6) > (4 ** 3)) and ((2 ** 3) >= (6 * 19))) or (1980年奥运会在莫斯科举办。)))
B. not (((((锌的化学符号是Zn。) and (德国位于欧洲。)) and ((10 * -8 + -3 * -10) >= (14 - -20))) or (((中国位于亚洲。... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 54801225,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not ((((not not ((12 - 7) <= (8 % 9))) and (蜥蜴是爬行动物。)) or (not no... |
logic-v2 | Examine these expressions:
A. The 1920 Olympics were held in Antwerp.
B. not ((4 ** 3) < (41 % 8))
C. not not ((The chemical symbol for Uranium is U.) and (A fish has 0 legs.))
D. not not ((-2 * 1 - -3 * -6) != (2 * 8))
E. (((-7 - -4) > (-2 * -10 * -3 * 6)) or (Oxygen is a gas at room temperature.)) or (not not (1936 ... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 44550233,
"true_count": 6
},
"question": "Examine these expressions:\n\nA. The 1920 Olympics were held in Antwerp.\... |
logic-v2 | Evaluate each expression below:
A. ((-16 - 1) != (18 + -14)) and (not not ((44 % 8) < (1 * 0 - 1 * 5) < (1 * -6)))
B. ((Penguins can fly.) or (The square root of 25 is 5.)) or (((13 + -15) < (0 + -20)) or (The 2016 Olympics were held in Athens.))
C. The chemical symbol for Tin is Sn.
D. (-12 * -16) < (9 * 4 + 4 * 2)
E... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 43592833,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. ((-16 - 1) != (18 + -14)) and (not not ((... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 青蛙有4条腿。
B. ((土星是距离太阳第6近的行星。) and ((-8 - -16) <= (2 * 8 + 3 * -10) <= (7 - 16))) or (木头在常温下是固体。)
C. (not ((2 ** 3) > (5 ** 1))) or ((短吻鳄是爬行动物。) and (木头在常温下是气体。))
D. ((7 * -1 + 10 * -2) >= (-2 * -6 + 1 * -9)) and ((铂的化学符号是Au。) and (爱尔兰的首都是都柏林。))
E. (((19 - -5) == (13 * 3)) or (声音无法在真空中传播。)) or (((-11... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 1449641,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 青蛙有4条腿。\nB. ((土星是距离太阳第6近的行星。) and ((-8 - -16) <= (2 * 8 +... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((The capital of Hungary is Budapest.) or (56 is a prime number.))
B. (5 ** 1) > (19 + 13)
C. World War I ended occurred in 1918.
D. (not (The capital of Venezuela is Seoul.)) and (Venus is the 2nd planet from the Sun.)
E. (((-11 + -4) == (-5 * -7 + -5 * 2)) an... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 10542382,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((The capital of H... |
logic-v2 | 检验这些表达式：
A. not not ((((0 * -5) != (-19 * 16)) or (巴西的首都是巴西利亚。)) and (not (柏林墙倒塌发生在1984年。)))
B. not not ((海王星是距离太阳第4近的行星。) and ((氧气在常温下是固体。) and ((18 + 5) > (-7 - -12))))
C. (not (((6 * 5 * 10 * 7) < (7 + 19) < (-5 - -1)) or ((3 ** 1) >= (-11 - -1)))) and ((5 - 12) != (-8 * 5 - 4 * 5)) and (((俄罗斯的首都是布加勒斯特。) and ((14 +... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 76972901,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not not ((((0 * -5) != (-19 * 16)) or (巴西的首都是巴西利亚。)) and (not (柏林墙... |
logic-v2 | Examine these expressions:
A. ((not (India is in North America.)) or ((There are 29 days in November.) or (The capital of Venezuela is Caracas.))) and (not (There are 30 days in November.)) and ((18 - 10) != (-17 + -10))
B. (not not (((5 ** 2) <= (-7 - -1)) and (Saturn is the 1st planet from the Sun.))) and (not ((5 +... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 64782130,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. ((not (India is in North America.)) or ((There are... |
logic-v2 | 给定以下布尔表达式：
A. (((((-2 + -13) == (-1 * 7)) or (秘鲁的首都是雅加达。)) or (氧的化学符号是O。)) or ((((11 - -19) < (40 % 7)) or (七月有31天。)) or ((加拿大位于北美洲。) or (汞在常温下是固体。)))) and (((-17 + -7) > (-16 - 8)) or (((17 + -1) == (-8 + 11)) or (not not ((9 * -3 + 7 * 7) <= (-9 * 2) <= (-9 - -12)))))
B. not ((not not (尼日利亚位于北美洲。)) and (((蜘蛛是昆虫。) an... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 85088371,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (((((-2 + -13) == (-1 * 7)) or (秘鲁的首都是雅加达。)) or (氧的化学符号是O。)) or ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (1 * -10 * -2 * 3) < (10 * -3 - 2 * -5)
B. ((29 % 7) < (-9 + -17)) and (((-11 - -5) <= (-18 * 17)) and (The capital of Spain is Riyadh.))
C. Antarctica is the coldest continent.
Which options evaluate to True? List all true option labels... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 88519185,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Consider the following logical expressions:
A. not not (((Saturn is the 1st planet from the Sun.) and (The chemical symbol for Neon is Ne.)) or (not (Morocco is in Africa.)))
B. not not ((There are 31 days in December.) or (((-19 * 14) < (-15 - -20) < (17 + -3)) and (Saturn is the 8th planet from the Sun.)))
C. not ((... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 91485460,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. not not (((Saturn is the 1s... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((not not ((钛的化学符号是Na。) and (((新西兰位于大洋洲。) or (鬣蜥是爬行动物。)) or (not (氦气在常温下是固体。))))) and (not ((not not (not (锰的化学符号是Na。))) and ((埃及的货币是埃及镑。) and ((6 + 9) < (3 - -11))) and (((8 - -9) < (18 * -18) < (-17 - 9)) or ((-10 + -2) >= (33 % 10))))))
B. (not not (not (((((-9 * 10 + -9 * 7) == (3 ** 1)) or... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 68794039,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((not not ((钛的化学符号是Na。) and (((新西兰位于大洋洲。) or (鬣蜥是爬行动... |
logic-v2 | 检验这些表达式：
A. not not (((not not (新西兰位于大洋洲。)) or (((not (巴西的货币是雷亚尔。)) and (((3 ** 2) < (8 * 9) < (-8 + 18)) and (新西兰的货币是奈拉。))) or ((((13 * 20) >= (10 - -17)) and ((-9 * -16) <= (26 % 8) <= (-17 * -20))) and (((-7 * 7 * 3 * -2) < (-1 - 0)) or (印度尼西亚位于亚洲。))))) and (((((-2 + -15) < (-4 * -16)) or ((氦气在常温下是气体。) or (十一月有30天。... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 90129762,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not (((not not (新西兰位于大洋洲。)) or (((not (巴西的货币是雷亚尔。)) and (((3 ** ... |
logic-v2 | Examine these expressions:
A. not not ((not (((-9 - 12) >= (10 * -3 + 8 * -3)) or (not (not not (The capital of Sweden is New Delhi.))))) and (not not (((-2 - 15) <= (14 * 14)) and (The capital of France is Paris.) and (not not (Mars is the closest planet to the Sun.)))))
B. not not (not (not not (not not ((0 * 9 + -4... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 81107817,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not not ((not (((-9 - 12) >= (10 * -3 + 8 * -3)) o... |
logic-v2 | Examine these expressions:
A. not not (not ((not (not (((9 * -8) <= (-10 * -17) <= (-12 + -9)) or ((-18 - -12) < (18 * -4) < (3 - -14))))) or (not not (Chile is in South America.))))
B. not not (((not not (not (A fish has 0 legs.))) or (not (Argentina is in Antarctica.))) and (not (not ((There are 31 days in December.... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 35375185,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (not ((not (not (((9 * -8) <= (-10 * -17... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((not (俄罗斯位于亚洲。)) and (((not ((-4 * -2 + 5 * 1) <= (-20 * -4))) or (氧气在常温下是气体。)) or (((7 + -4) == (-9 + 0)) and (印度尼西亚的首都是雅加达。)) or (((人类是哺乳动物。) and ((-6 * 14) > (-9 + 11))) and ((印度尼西亚位于北美洲。) and ((11 + 13) == (1 - -1)))))) and (not ((1936年奥运会在墨西哥城举办。) or ((加拿大的首都是渥太华。) and (157是偶数。)) or (水在海平面上的沸... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 847957,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((not (俄罗斯位于亚洲。)) and (((not ((-4 * -2 + 5 * 1) <= (-20 * -4))... |
logic-v2 | Given the following boolean expressions:
A. not not ((not (((11 + 5) == (-1 + -17)) or (Oxygen is a gas at room temperature.))) and (((((-5 + -2) >= (5 ** 1)) or (Earth is the 3rd planet from the Sun.)) or ((8 - 14) == (15 + -12))) or (((The currency of Singapore is the Won.) or (61 is less than or equal to 62.)) or (... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 66634018,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not ((not (((11 + 5) == (-1 + ... |
logic-v2 | 检验这些表达式：
A. (not ((俄罗斯的货币是卢布。) and (第一次世界大战结束发生在1908年。))) or ((not ((((12 - -18) > (7 % 5)) or ((-5 * -9 * 5 * 9) < (-2 * 2 - 2 * -2))) or ((85是质数。) or ((35 % 5) < (-10 * 7) < (-2 - -16))))) or (((not (瓢虫是昆虫。)) or ((8 * -1) != (-13 - -14))) or ((not not (莱特兄弟首次飞行发生在1908年。)) and (not not (熊是哺乳动物。)))))
B. (not (((((-14 ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 9985270,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not ((俄罗斯的货币是卢布。) and (第一次世界大战结束发生在1908年。))) or ((not ((((12 - -18) ... |
logic-v2 | Evaluate each expression below:
A. not ((not not (not (not ((3 ** 1) != (-5 * -5 * 5 * 7))))) and (not (((((-18 + 10) >= (20 + 6)) and ((1 ** 3) < (10 * 4 + -4 * -1) < (12 + -5))) and (Neptune is the 8th planet from the Sun.)) or ((((-15 - 20) < (15 * -12)) and ((9 - -1) >= (-13 * 11))) or ((The first iPhone was relea... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 36838264,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not ((not not (not (not ((3 ** 1) != (-5 * ... |
logic-v2 | Evaluate each expression below:
A. not not ((not (not (not not ((Venus is the 2nd planet from the Sun.) and ((26 % 6) >= (-3 * -3 * 3 * 3)))))) or (((not (Jupiter is the 5th planet from the Sun.)) or ((((0 * -5) < (6 + 6)) or (Mars is the closest planet to the Sun.)) and ((-16 * 5) >= (6 + -11)))) or (((The Titanic sa... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 95971828,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not not ((not (not (not not ((Venus is the ... |
logic-v2 | Analyze these boolean expressions:
A. (not not (not not (not not (((The 1936 Olympics were held in Paris.) and (The square root of 225 is 10.)) and (A human is a mammal.))))) and ((not (not not ((((-14 - -6) >= (5 % 6)) or (Electricity flows faster than light.)) and (The 1920 Olympics were held in Antwerp.)))) and (no... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 35036564,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not not (not not (((The 1936 O... |
logic-v2 | Examine these expressions:
A. not not (not (not (((13 * -2) > (26 % 4)) and (Diamond is a gas at room temperature.))))
B. (not not (not not ((Copper is a solid at room temperature.) and ((-18 + -4) != (29 % 10))))) or ((not not (((11 - 13) == (11 + 15)) and (15 is an odd number.))) or ((not (The square root of 36 is 6... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 78379511,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (not (not (((13 * -2) > (26 % 4)) and (D... |
logic-v2 | Study the following logical statements:
A. (not (not not (not (not not ((1 * 8 * -1 * -2) > (10 * -5 * 4 * -7)))))) or ((not (((not ((-18 * 9) < (33 % 7))) and (A frog has 4 legs.)) and (Earth is the 3rd planet from the Sun.))) and ((((((5 ** 1) <= (10 * -3 * 4 * -5)) or (The square root of 49 is 7.)) and (not not (7 ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 19979495,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (not (not not (not (not not ((1 *... |
logic-v2 | Examine these expressions:
A. (not (not not (((The currency of Chile is the Peso.) or ((-7 * 5) < (5 * 10 * -6 * 1))) and (The 1996 Olympics were held in Atlanta.)))) or ((((-10 * -8 - 2 * 6) >= (-3 + 8)) or ((1 ** 2) <= (36 % 2))) or (((5 ** 2) == (-6 + 8)) and (not ((The 1980 Olympics were held in Moscow.) and (Viet... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 10317266,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (not (not not (((The currency of Chile is the Pe... |
logic-v2 | 下面是几个布尔表达式：
A. ((1932年奥运会在斯德哥尔摩举办。) and (((法国大革命开始发生在1789年。) and ((-4 * 0 * 10 * 2) <= (10 * 1 - -6 * 0) <= (-15 + 16))) or ((俄罗斯的货币是卢布。) and (金在常温下是液体。)))) and ((丹麦的首都是利马。) and (((20 % 8) <= (-10 + 16)) and ((2 ** 1) != (7 * 3 * -4 * -9))) and ((猫有4条腿。) and ((氧的化学符号是Mn。) or ((-19 + 20) <= (1 - 6)))))
B. not not ((not... | {
"game_data": {
"answer": "D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 83464995,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((1932年奥运会在斯德哥尔摩举办。) and (((法国大革命开始发生在1789年。) and ((-4 * 0 ... |
logic-v2 | Review these logical expressions:
A. not (((not (72 is an even number.)) and ((-4 - -13) == (-1 * -13))) and ((-10 * -8) < (-11 - -12) < (-7 * 0 + -10 * 5)))
B. (not not ((The chemical symbol for Chlorine is Cl.) or ((Water is a liquid at room temperature.) or ((-8 - -18) < (20 + -14))))) and ((The currency of United ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 970570,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not (((not (72 is an even number.)) and ((-4 ... |
logic-v2 | 评估以下每个表达式：
A. not ((((9 * 8 + 2 * -9) <= (0 - 20)) and (木星是距离太阳第3近的行星。)) and (((-19 * -13) == (-8 - 10)) or (火星是距离太阳第4近的行星。)))
B. ((13 - 3) >= (-16 + -9)) or (埃及的首都是巴西利亚。)
C. ((蟑螂是哺乳动物。) and (火星是距离太阳最近的行星。)) and (((美国的货币是泰铢。) and (蝴蝶有100条腿。)) and ((-16 + 3) == (-10 * 4 + -7 * 10)))
D. ((((9 % 2) > (4 ** 3)) or ((-19 -... | {
"game_data": {
"answer": "A,B,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 26671334,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. not ((((9 * 8 + 2 * -9) <= (0 - 20)) and (木星是距离太阳第3近的行星。))... |
logic-v2 | 下面是几个布尔表达式：
A. ((((澳大利亚位于大洋洲。) or (蚂蚁有2条腿。)) or ((1 ** 2) <= (-10 * -1 + 3 * 0))) and (not (莱特兄弟首次飞行发生在1905年。)) and (氦的化学符号是Zn。)) and (((not not (声音在真空中传播更快。)) and (((-4 * 13) >= (-18 * 5)) or ((-9 + -3) >= (-3 + -6)))) or ((爱尔兰的首都是都柏林。) and (2024年奥运会在斯德哥尔摩举办。)) or (((声音无法在真空中传播。) and (汞在常温下是气体。)) or (((4 ** 1) == (5 ... | {
"game_data": {
"answer": "B,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 55281967,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((((澳大利亚位于大洋洲。) or (蚂蚁有2条腿。)) or ((1 ** 2) <= (-10 * -1 + 3... |
logic-v2 | Given the following boolean expressions:
A. not not (((Mars is the 5th planet from the Sun.) and (((-5 * -9 + -3 * -8) <= (-5 - -18)) and (The currency of European Union is the Euro.)) and (((The capital of Singapore is Beijing.) or (The currency of China is the Pound.)) or (((48 % 7) > (-10 * -6)) and ((3 ** 3) > (1 ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 5305366,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not not (((Mars is the 5th planet fro... |
logic-v2 | Examine these expressions:
A. (The square root of 1 is 9.) or (Water boils at 100 degrees Celsius at sea level.) or (((The chemical symbol for Lead is Pb.) and (Ice is less dense than liquid water.)) or (Gold is a solid at room temperature.))
B. (not (World War I began occurred in 1914.)) or (The chemical symbol for S... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 32754490,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (The square root of 1 is 9.) or (Water boils... |
logic-v2 | 审视以下逻辑表达式：
A. (((not not ((-15 * -17) == (-10 - 6))) or ((11 - -18) == (-11 + 15))) and (新西兰的首都是惠灵顿。)) and ((55是质数。) or (墨西哥的首都是河内。) or (水星是距离太阳第1近的行星。))
B. not (not ((挪威的货币是克朗。) and (鸡有2条腿。)))
C. not (((((-11 - 4) <= (12 - 5)) and (1940年是闰年。)) and (人类有2条腿。)) or (((-17 + 16) != (-6 * -12)) and (肯尼亚位于亚洲。)) or (哥伦比亚位于大洋... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 36925925,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (((not not ((-15 * -17) == (-10 - 6))) or ((11 - -18) == (-11 ... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((((金的化学符号是Au。) or (((-9 * 5 + 8 * -1) != (0 - 3)) or (132是完全平方数。))) and ((not not (2008年奥运会在北京举办。)) and ((匈牙利的货币是雷亚尔。) and (中国位于亚洲。)))) and ((not ((1 ** 2) < (37 % 5))) or ((海王星是距离太阳第5近的行星。) and (电流比光速更快。))) and (not (not not (((-1 * 2 * 5 * 9) != (18 - -12)) and (86是偶数。))))) and (((企鹅能飞翔。) or... | {
"game_data": {
"answer": "B,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 62654378,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not not (((((金的化学符号是Au。) or (((-9 * 5 + 8 * -1) != (0 - 3))... |
logic-v2 | 评估以下每个表达式：
A. ((not (not not (not not (海王星是距离太阳第8近的行星。)))) or ((乌龟是哺乳动物。) or (not (以色列的货币是谢克尔。))) or (not (((-17 - 7) != (-7 * -1 * 4 * -6)) or (((179是完全平方数。) or (钾的化学符号是Sn。)) and (大象是哺乳动物。))))) or (not not (not not ((not not ((4 * 14) == (17 * -2))) or (((-15 * -9) >= (10 * 1 * 5 * -2)) and (not ((-19 * -10) <= (4 **... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 85295443,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. ((not (not not (not not (海王星是距离太阳第8近的行星。)))) or ((乌龟是哺乳动物。) ... |
logic-v2 | 评估以下每个表达式：
A. (14 + 14) == (5 - -20)
B. not not (not ((14 + 11) > (0 * 9 - -8 * -10)))
C. (((-9 - 15) <= (-15 - 12) <= (-13 - 7)) or ((9 + 19) >= (8 % 9))) and (not not (鲸鱼是鱼类。))
D. 一月有31天。
E. not ((蚱蜢是哺乳动物。) or ((3 ** 2) >= (-12 + 4)))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 20490227,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (14 + 14) == (5 - -20)\nB. not not (not ((14 + 11) > (0 * 9 - -8 *... |
logic-v2 | Below are several boolean expressions:
A. ((((Jupiter is the 4th planet from the Sun.) and (not not (Oxygen is a gas at room temperature.))) and (((3 ** 2) <= (-11 * -13)) and ((A frog has 6 legs.) and (The 1984 Olympics were held in Athens.)))) and (not not ((1 ** 2) > (9 - 1)))) or (not not (not ((Uranus is the 7th ... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 70024258,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. ((((Jupiter is the 4th planet from t... |
logic-v2 | 审视以下逻辑表达式：
A. not (((((7 * -1 - -6 * -2) < (8 + 2)) and ((((-18 * -4) > (-8 - 8)) and (699是斐波那契数。)) and (not not (新加坡的首都是新加坡。)))) and (not (1960年奥运会在东京举办。))) and (not not (((((-1 * -2 + 1 * 10) < (-20 + 8)) and (钻石在常温下是固体。)) or ((韩国位于亚洲。) or ((2 * -1 * -9 * -10) <= (15 + -1)))) and (((俄罗斯的首都是奥斯陆。) or (匈牙利的首都是首尔。)) and... | {
"game_data": {
"answer": "A,B,C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 46827351,
"true_count": 6
},
"question": "审视以下逻辑表达式：\n\nA. not (((((7 * -1 - -6 * -2) < (8 + 2)) and ((((-18 * -4) ... |
logic-v2 | 给定以下布尔表达式：
A. not not (not ((not not (not not ((鸟有2条腿。) or ((-10 * -5) <= (40 % 8) <= (2 * 0 * -6 * 8))))) or (not (not ((铀的化学符号是He。) and (1951年是闰年。))))))
B. not (((not (((意大利位于欧洲。) and (蜘蛛有100条腿。)) and ((-3 * -1 + 6 * -10) > (9 - -13)))) and ((not ((三文鱼是爬行动物。) or (丹麦的首都是哥本哈根。))) and ((10 * -2 * -6 * -10) > (10 + -16)... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 14371469,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not not (not ((not not (not not ((鸟有2条腿。) or ((-10 * -5) <= (4... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((not not (not ((79能被9整除。) or ((印度尼西亚的首都是雅加达。) or (酒精在常温下是固体。))))) or ((((19 + -16) >= (19 * -19)) and ((not (1913年是闰年。)) or ((新西兰位于大洋洲。) and ((-5 * 5) == (-7 * -4 - 8 * -10))))) or ((not (((6 * -2 - 5 * -9) == (-2 * -3 + -4 * 9)) and ((8 + 2) < (10 - 10)))) or (not not (日本的首都是东京。)) or (not... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 69811441,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((not not (not ((79能被9整除。) or ((印度尼西亚的首都是雅加达。) or (酒... |
logic-v2 | 研究以下逻辑语句：
A. not ((((not not (not ((-12 - -14) >= (1 - 13)))) or (((50 % 5) <= (0 - -14) <= (9 * -9 - 5 * 9)) or (2081年是闰年。)) or ((15 * 19) < (-17 + 1))) and ((((以色列的货币是埃及镑。) and (印度的货币是卢比。)) and (not ((-1 * 3 * -8 * 8) != (20 + 14)))) or (火星是距离太阳第1近的行星。))) and (not not (not not ((((10 * -2) < (-2 * 17)) and ((15 * -1... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 45409341,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not ((((not not (not ((-12 - -14) >= (1 - 13)))) or (((50 % 5) <= (... |
logic-v2 | Examine these expressions:
A. Japan is in Asia.
B. (12 - 5) == (-3 * 1 * 10 * -3)
C. not ((2083 is a leap year.) and ((-20 - -17) < (-3 + 9) < (9 * -14)))
D. not (not not (The Sun revolves around the Earth.))
E. not ((Italy is in Africa.) and ((-5 * 12) != (-8 + 14)))
F. (not ((-15 * 13) <= (19 - 0) <= (2 ** 1))) or (... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 94923943,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. Japan is in Asia.\nB. (12 - 5) == (-3 * 1 ... |
logic-v2 | Consider the following logical expressions:
A. not (not not ((not not (((-3 * -17) > (-13 * -12)) and ((-17 + -10) > (12 + -2)))) and (not not (((1 - -7) < (5 ** 2) < (6 - 20)) or ((2 * 9 * 5 * 5) <= (7 * 3 * -5 * -5))))))
B. not ((not (((5 + -5) >= (2 - -14)) or ((1 ** 1) == (18 * -16)))) or ((((10 * 5 - -4 * 0) <= (... | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 84994142,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not (not not ((not not (((-3 ... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((((1 * -6 + -5 * 7) < (1 - 2)) or (现代奥运会首届举办发生在1896年。)) or (((-5 * -2 * -9 * 1) != (16 + -16)) or (德国位于欧洲。)))
B. (not not (not (1932年奥运会在赫尔辛基举办。))) or (乌克兰的首都是基辅。) or ((((0 + 16) <= (-5 * -10)) and ((5 ** 3) == (-5 * -1))) or (not ((17 - -3) >= (-17 * -2))))
C. (油在常温下是固体。) or (((韩国的货币是韩元。) and (... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 15231959,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not not ((((1 * -6 + -5 * 7) < (1 - 2)) or (现代奥运会首届举办发生在1896... |
logic-v2 | 评估以下每个表达式：
A. ((1920年奥运会在安特卫普举办。) and (1964年奥运会在东京举办。)) or (57小于等于8。)
B. (((-10 - -11) == (1 - -3)) or (2004年奥运会在雅典举办。)) or (not ((2 ** 3) == (19 % 10)))
C. not (((-17 + -10) <= (16 + 12)) or (十二月有31天。))
D. (not ((-11 * 15) > (13 - -4))) or (((-4 * -3 * -9 * 2) <= (-10 + -20) <= (4 ** 3)) or (瑞典的首都是内罗毕。))
E. not not (... | {
"game_data": {
"answer": "A,B,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 90475983,
"true_count": 6
},
"question": "评估以下每个表达式：\n\nA. ((1920年奥运会在安特卫普举办。) and (1964年奥运会在东京举办。)) or (57小于等于8。)\... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (第一次世界大战结束发生在1920年。) or ((((3 ** 2) < (-16 * 3) < (14 - 12)) and (硅的化学符号是Si。)) and ((11 * -6) < (17 - -5) < (-17 + 16)))
B. ((((-20 * 6) < (4 ** 3)) and ((3 + -20) > (1 - 1))) and (海王星是距离太阳第7近的行星。)) or (十一月有28天。)
C. (not ((第一次世界大战结束发生在1918年。) and (2050年是闰年。))) and ((波兰的首都是华沙。) and ((-18 * -9) ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 74988900,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (第一次世界大战结束发生在1920年。) or ((((3 ** 2) < (-16 * 3) < (14 -... |
logic-v2 | 下面是几个布尔表达式：
A. (not ((4 * 17) == (-8 - 20))) and (((新西兰的首都是阿布贾。) and ((9 % 2) != (2 + 3))) and (龙虾有10条腿。))
B. ((not not (((2 * 2) < (-6 - -7)) or (2020年是闰年。))) and (not not (not ((-6 * 3 * -7 * 10) <= (1 * 6 * 7 * 8) <= (27 % 7))))) and (((-9 + 14) != (1 ** 1)) or (((-11 - -7) != (11 - 4)) or (not not ((-8 * 9) < (2 *... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 40392035,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (not ((4 * 17) == (-8 - 20))) and (((新西兰的首都是阿布贾。) and ((9 %... |
logic-v2 | 评估以下每个表达式：
A. not (not ((not ((二月有28天。) or ((39 % 7) < (14 + -11) < (-10 * 1 + 7 * 8)))) or ((新加坡的货币是里拉。) or ((2046年是闰年。) and ((14 + -16) != (-20 - 1))) or (((爱尔兰的首都是都柏林。) or (摩洛哥位于非洲。)) and ((企鹅能飞翔。) and (冰在常温下是液体。))))))
B. not (not not ((not ((not not ((-12 + 4) != (16 - 0))) or ((-2 + -19) == (-4 + 16)))) or ((((瑞士... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 9954515,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not (not ((not ((二月有28天。) or ((39 % 7) < (14 + -11) < (-10 * 1 + ... |
logic-v2 | Below are several boolean expressions:
A. (not (not not (not not (not (Water is a liquid at room temperature.))))) or (not not (not (not not (((5 * 9 - -3 * -4) <= (7 - 13) <= (46 % 8)) and ((-5 * -1 * -2 * 7) >= (2 + -19))))))
B. not not ((not (not ((2 - -13) == (-7 - -7)))) or (((8 - 6) >= (3 * -1 - -10 * 4)) or (Ur... | {
"game_data": {
"answer": "A,B,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 79903074,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. (not (not not (not not (not (W... |
logic-v2 | Examine these expressions:
A. (((-15 - -3) < (-3 - -1)) and (not ((The Earth revolves around the Sun.) and ((15 * 11) > (10 * 13))))) or (not (Steam is a solid at room temperature.))
B. (not not (48 is a perfect square.)) and (((((-7 + 18) <= (16 - -9)) or ((-7 * 9) == (3 * -20))) or (The square root of 36 is 6.)) and... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 75352766,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. (((-15 - -3) < (-3 - -1)) and (not ((The Earth rev... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not (not not (((1 + -18) <= (5 * -3 * 8 * -5)) and (现代奥运会首届举办发生在1896年。)))) and (not (((-14 - -6) == (2 - 20)) and ((7 - 20) > (18 * -7))))) and (((((澳大利亚位于大洋洲。) and (太平洋是最大的海洋。)) or ((汞在常温下是液体。) or (328是完全平方数。))) or ((not not (现代奥运会首届举办发生在1896年。)) and (not (南极洲是最冷的大陆。)))) or ((蜻蜓是昆虫。) and (not (51... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 44115788,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((not not (not not (((1 + -18) <= (5 * -3 * 8 * -5)) and (现... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((not not (not not ((32 % 10) >= (-2 * 12)))) and ((not (not not (鲨鱼是哺乳动物。))) or (not ((中国的货币是兹罗提。) and (286是完全平方数。)))) and (((((-14 - 3) <= (-18 * 11) <= (-4 - -13)) or (not ((3 ** 1) != (17 * -16)))) and ((46 % 4) == (-6 * 0))) or (not (太阳绕地球运转。))))
B. not (((((地球绕太阳运转。) and (((-13 + 6) < (-10 ... | {
"game_data": {
"answer": "A,B,C,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 20012475,
"true_count": 6
},
"question": "审视以下逻辑表达式：\n\nA. not not ((not not (not not ((32 % 10) >= (-2 * 12)))) an... |
logic-v2 | 给定以下布尔表达式：
A. (酒精在常温下是液体。) or (((铜在常温下是固体。) or (瑞典的货币是林吉特。)) and ((加拿大位于北美洲。) or (二氧化碳在常温下是气体。)))
B. not (not ((瑞士的首都是伯尔尼。) and (油在常温下是气体。)))
C. not not ((((2 ** 3) >= (-7 + -1)) and (德国位于南极洲。)) and ((20 % 9) > (3 ** 1)))
D. not ((((1 * 10 * 6 * -7) != (2 ** 1)) or ((-11 * -15) == (18 * -7))) and ((-18 + 4) > (5 ** 3)... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 92926866,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (酒精在常温下是液体。) or (((铜在常温下是固体。) or (瑞典的货币是林吉特。)) and ((加拿大位于北美洲。... |
logic-v2 | 检验这些表达式：
A. 2020年奥运会在东京举办。
B. (not not (90大于13。)) and (((-2 * -3 - 10 * -5) != (-14 * -14)) and ((-11 - 13) <= (1 * -7 * 9 * 4) <= (15 * 13)))
C. ((智利的首都是圣地亚哥。) and ((-6 - -11) < (8 - -2))) and (not ((-1 - 18) < (6 + 7) < (-1 * 4 + 6 * 2)))
D. (((-11 - 7) <= (-4 - -10) <= (2 - 12)) or (马来西亚的首都是吉隆坡。)) or (not ((9 * 16)... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 3041760,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. 2020年奥运会在东京举办。\nB. (not not (90大于13。)) and (((-2 * -3 - 10 * -5... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((not ((The capital of Argentina is Paris.) and (The 1924 Olympics were held in Paris.))) and ((The 1928 Olympics were held in Amsterdam.) and (Neptune is the 8th planet from the Sun.))) and (not not (not not (not not (The 1972 Olympics were held in Moscow.))))) or ((... | {
"game_data": {
"answer": "A,B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 46511487,
"true_count": 6
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((not ((The capital... |
logic-v2 | 检验这些表达式：
A. (17 + 15) >= (-20 - -16)
B. (((-15 - -2) <= (14 * 5) <= (43 % 7)) and (鸭子有6条腿。)) or ((8 + -3) <= (1 + 4))
C. (((-1 - 13) >= (34 % 4)) or ((2 ** 2) < (3 * 8 * -3 * -10) < (-5 - -3))) and (not not (古巴的首都是哈瓦那。))
D. (挪威的货币是克朗。) and (not (一月有31天。))
E. 泰国位于亚洲。
F. 七月有30天。
G. 莱特兄弟首次飞行发生在1903年。
H. (((19 % 3) <= (-2... | {
"game_data": {
"answer": "A,B,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 68499677,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. (17 + 15) >= (-20 - -16)\nB. (((-15 - -2) <= (14 * 5) <= (43... |
logic-v2 | Below are several boolean expressions:
A. (-5 - -20) <= (-10 * -4 - 10 * 4) <= (47 % 1)
B. (not ((0 - 14) < (13 - -7))) and ((-5 * -8 * 3 * 7) > (11 - 10))
C. ((Jupiter is the 7th planet from the Sun.) and (Mexico is in South America.)) and (((-7 - 19) >= (-1 * 7 - -9 * 1)) and (The chemical symbol for Manganese is Mn... | {
"game_data": {
"answer": "E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 72052149,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (-5 - -20) <= (-10 * -4 - 10 * 4) <=... |
logic-v2 | Examine these expressions:
A. not (((((16 - 14) < (17 - 14)) and (not (Sharks are mammals.))) or (not not (not (The United States declared independence occurred in 1776.)))) or ((not not ((9 * -9) != (-1 * 3 + 4 * -8))) and ((not not ((-14 + -15) != (-2 * -2 + -6 * 5))) and (((14 - -17) < (18 - 4) < (4 ** 1)) and ((2 ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 21130919,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not (((((16 - 14) < (17 - 14)) and (not (Sharks ar... |
logic-v2 | 分析以下逻辑表达式：
A. (not not (not (((not ((-2 * 1 - -5 * 5) >= (12 * -8))) or (290是完全平方数。)) and (not ((1900年奥运会在悉尼举办。) and ((3 ** 2) < (-7 * 2 - -7 * 0))))))) and ((((波兰的货币是兹罗提。) or (not (not not ((20 % 6) == (5 - 14))))) or (((((2 * -8 + -2 * 4) == (2 + -12)) and (217是完全平方数。)) and ((4 * 17) == (19 % 10))) or ((1 ** 1) != (... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 47432716,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not not (not (((not ((-2 * 1 - -5 * 5) >= (12 * -8))) or (290是完全平... |
logic-v2 | 考虑以下布尔表达式：
A. not not (((not not (not (大象有2条腿。))) or (not not ((-12 * 4) < (-3 + -19)))) or ((((((9 - -11) == (24 % 3)) or (人体有206块骨头。)) and ((第二次世界大战结束发生在1945年。) or (二月有28天。))) or (((2004年是闰年。) and ((-15 + -3) > (17 + 12))) or (not (人体有206块骨头。)))) and (((1 ** 1) < (6 * -5 + 3 * -3)) or ((-14 * 4) < (13 + -6)))))
B. n... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 2674522,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not not (((not not (not (大象有2条腿。))) or (not not ((-12 * 4) < ... |
logic-v2 | 下面是几个布尔表达式：
A. not ((18 + 13) > (-18 + -6))
B. ((火星是距离太阳第4近的行星。) or ((6 * -10 - 2 * -4) < (-8 * -5 - -7 * -5))) and ((空气在常温下是气体。) and ((-5 + 4) == (10 + -8))) and (((-11 - 6) != (42 % 1)) or ((哥伦比亚的首都是哈瓦那。) or (汞在常温下是液体。)))
C. ((not not (智利的货币是比索。)) or (((18 % 6) == (8 * 14)) and (沙特阿拉伯的首都是雅典。))) and (not (镁的化学符号是Mg。)... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 72413838,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not ((18 + 13) > (-18 + -6))\nB. ((火星是距离太阳第4近的行星。) or ((6 * -10... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (((-15 * -17) > (4 * -1 - -1 * 7)) and ((Carbon dioxide is a solid at room temperature.) or ((-4 * 5 + -7 * -10) >= (-3 * 2 - 5 * 3))) and (not (not not ((7 % 8) < (-8 * 7 + 3 * 5) < (13 * -17)))))) or (not not ((not not (The 1972 Ol... | {
"game_data": {
"answer": "A,B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 32707337,
"true_count": 6
},
"question": "Evaluate the following boolean expressions and select the ones that are t... |
logic-v2 | 研究以下逻辑语句：
A. ((not (not not (not (越南位于亚洲。)))) and (日本位于非洲。) and ((钻石在常温下是液体。) and (电流比光速更快。) and (龙虾有10条腿。))) or (not not (((not not (牛是哺乳动物。)) or (硫的化学符号是N。)) or (巴西的首都是巴西利亚。) or ((((8 - -1) > (19 + 7)) or ((5 + 2) < (13 + -7) < (1 ** 2))) or ((海王星是距离太阳第8近的行星。) or (汞在常温下是液体。)))))
B. ((((秘鲁位于欧洲。) or (not not (35能被12整除... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 11130275,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. ((not (not not (not (越南位于亚洲。)))) and (日本位于非洲。) and ((钻石在常温下是液体。) ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not (The capital of Australia is Canberra.))
B. (((8 + 18) >= (4 - 3)) or (The capital of Malaysia is Kuala Lumpur.)) and ((5 - 4) < (1 ** 1))
C. (((13 % 3) == (1 - -9)) or (The 1924 Olympics were held in Paris.)) and ((Sound cannot travel through a vacuum.) o... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 23993744,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not (The capital of... |
logic-v2 | Examine these expressions:
A. ((The Berlin Wall fell occurred in 1989.) and (not not (((18 % 2) != (-3 * -8 + 0 * -2)) or ((4 + 9) > (3 * -1 * -2 * -7))))) or ((Mercury is a solid at room temperature.) and ((The chemical symbol for Tin is Sn.) or (((9 * 9 - 9 * 6) != (1 ** 2)) or (Diamonds are made of carbon.))))
B. (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 86456945,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. ((The Berlin Wall fell occurred in 1989.) and (not... |
logic-v2 | 研究以下逻辑语句：
A. not not ((not (((哥伦布到达美洲发生在1494年。) or (((1 ** 2) < (12 * -7)) or (一月有28天。))) or ((2 - -20) <= (-12 * 8)) or (not (((-9 * 6 * -7 * 8) >= (-11 + -4)) and (龙虾有10条腿。))))) and ((not (波兰的货币是兹罗提。)) and ((17 + 15) < (9 * -11) < (3 - 13))) and ((((柏林墙倒塌发生在1989年。) and ((-2 * 2) <= (-7 - -2) <= (5 ** 2))) or (not ((... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 85816696,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not not ((not (((哥伦布到达美洲发生在1494年。) or (((1 ** 2) < (12 * -7)) or ... |
logic-v2 | Consider the following logical expressions:
A. ((not not (not (The chemical symbol for Mercury is Hg.))) and ((3 ** 3) >= (-1 * 7 + 7 * 5)) and (((-7 + -8) != (-3 + -18)) or (not ((19 - 2) == (-8 - -8))))) and ((5 ** 1) == (31 % 10)) and (((The capital of Indonesia is Jakarta.) or ((The capital of Norway is Brussels.)... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 33524500,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. ((not not (not (The chemical ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not (哥伦比亚的首都是布拉格。)) or ((澳大利亚的货币是澳元。) and (1920年奥运会在亚特兰大举办。))) and (not not (((1 + -3) >= (4 ** 1)) and ((13 + -19) <= (13 + 11) <= (-15 * -12))))) or (((not (太平洋是最大的海洋。)) and (((9 - -20) == (0 - 2)) and ((5 - 5) >= (12 - -14)))) or (not ((3 * -2 + -5 * -10) <= (-11 * -4))) or (中国的货币是日元。))
B. no... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 54861718,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not (哥伦比亚的首都是布拉格。)) or ((澳大利亚的货币是澳元。) and (1920年奥运会在亚... |
logic-v2 | Consider the following logical expressions:
A. not ((-17 * -2) >= (4 ** 1))
B. not not (not not (((4 ** 3) != (14 + 19)) or ((-16 * 9) <= (-13 * 1))))
C. not (The currency of South Korea is the Dollar.)
D. (Australia is in Oceania.) and ((not not (The currency of United Kingdom is the Krona.)) and ((The capital of Arg... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 45837338,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not ((-17 * -2) >= (4 ** 1))\... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not ((-2 * 4 - -9 * 8) != (11 + 13)))
B. not ((not ((-7 - -3) == (-8 + 10))) and (((5 ** 3) <= (18 - -20)) or ((-6 * 1 * 6 * -4) < (30 % 1))))
C. ((not not ((3 * 17) <= (27 % 5))) or (((10 - 12) <= (-2 * -7 + -4 * -1) <= (13 + -3)) or ((-15 - 19) <= (-9 + ... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 78355936,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not ((-2 * ... |
logic-v2 | 研究以下逻辑语句：
A. 1996年奥运会在亚特兰大举办。
B. not not (not not (波兰的货币是英镑。))
C. (not not ((8 + 20) > (-1 * 6 * -2 * -2))) or (not (油在常温下是液体。))
D. not (((0 * 9 + -7 * 6) == (7 - 20)) or ((-16 - 13) <= (2 * 5 + -1 * -3)))
E. 钙的化学符号是Ca。
F. (((-5 - -10) >= (1 ** 1)) or ((-4 * 0 - -8 * 10) <= (6 % 4))) and (not not (声音无法在真空中传播。))
哪些语句为... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 63971497,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. 1996年奥运会在亚特兰大举办。\nB. not not (not not (波兰的货币是英镑。))\nC. (not n... |
logic-v2 | 评估以下每个表达式：
A. ((((2016年奥运会在里约热内卢举办。) and (((-16 * -12) < (18 + -13)) or ((2 * -13) >= (0 - -15)))) and (((泰国位于亚洲。) and ((4 ** 1) <= (-9 - 14))) or (not not (磷的化学符号是P。)))) and ((猫有4条腿。) and ((3 * 10 + -4 * -5) == (-18 * -6)))) or (not (((法国大革命开始发生在1789年。) and (not ((-7 * -4 * -4 * -4) == (-8 * 9 + -10 * -10)))) or ((no... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 22205626,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. ((((2016年奥运会在里约热内卢举办。) and (((-16 * -12) < (18 + -13)) or ((2 ... |
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 ((((18 - 6) == (5 ** 1)) or (金鱼是鱼类。)) and (not ((4 ** 2) == (13 * -10))))) or ((7 + -11) > (-1 - 3)) or (((尼日利亚的货币是奈拉。) or ((-11 * 14) == (8 % 8))) or (not not (((-9 * 3 - 8 * 6) >= (-11 - -16)) and ((-16 + 20) >= (-4 - 9))))))) or (not not ((not not (加拿大位于欧洲。)) or ((((246是完... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 66997975,
"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 ((((18 - 6) == (5 ** 1)) or (金鱼是鱼类... |
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