env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Consider the following logical expressions:
A. (-8 + 0) <= (-8 * 8 + 5 * -1)
B. not not (not (Thailand is in Asia.))
C. (1 * -3 - 5 * 0) >= (-6 * 13)
D. (not (The chemical symbol for Magnesium is Co.)) and (not not (Brazil is in South America.))
E. (((-7 * -4 + -2 * -8) > (0 * 3 + -7 * 6)) and (Oxygen is necessary for... | {
"game_data": {
"answer": "C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 54581380,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. (-8 + 0) <= (-8 * 8 + 5 *... |
logic-v2 | Consider the following logical expressions:
A. (not (not not (The Sun revolves around the Earth.))) or (((Steam is a solid at room temperature.) and (not not (The chemical symbol for Gold is Au.))) and ((not ((3 ** 2) > (9 - -19))) and (not not ((38 % 1) != (-7 * 9 * 4 * -2)))))
B. ((not not ((-4 + -10) <= (9 * 6))) a... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 32751250,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. (not (not not (The Sun re... |
logic-v2 | 给定以下布尔表达式：
A. not ((not not (二氧化碳在常温下是气体。)) and ((地球是距离太阳第5近的行星。) or (金星是距离太阳第4近的行星。)))
B. ((not not (英国位于欧洲。)) and ((鸟有2条腿。) and (1984年奥运会在洛杉矶举办。))) or (not not (蝴蝶有4条腿。))
C. ((((-16 - -13) <= (1 ** 3) <= (1 * -2)) or (铜在常温下是固体。)) or (not ((6 * -1) <= (7 - 18)))) and (not ((-20 - 1) <= (2 ** 1))) and ((((8 * -6 - 4 *... | {
"game_data": {
"answer": "A,B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 79079471,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. not ((not not (二氧化碳在常温下是气体。)) and ((地球是距离太阳第5近的行星。) or (金星是距... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((1 ** 3) <= (8 + 19) <= (2 * 4))
B. (not ((-3 + -7) >= (5 ** 2))) and (not ((Spiders are insects.) and ((-16 + -19) < (-2 + 11))))
C. (((The speed of light is approximately 300,000 km/s.) or ((-5 - 15) < (6 - -15))) and ((61 is an even number.) or ((1 * -4 + -... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 97376230,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((1 ** 3) <= (8 + 19... |
logic-v2 | 研究以下逻辑语句：
A. 光速约为每秒30万公里。
B. (not not (not not (((15 + -14) <= (17 * -6)) and (not (not ((-7 * 10) > (9 * -8))))))) or ((((铁的化学符号是Fe。) and ((7 * 0) > (18 % 8)) and ((not ((5 ** 2) != (-3 * -1 + 3 * -4))) or (十月有30天。))) or (((not not ((20 - 7) <= (9 + -18))) or (((32 % 10) > (5 * -7 + -10 * -10)) and (38是质数。))) and (no... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 85306206,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. 光速约为每秒30万公里。\nB. (not not (not not (((15 + -14) <= (17 * -6)) and (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (印度尼西亚的首都是马尼拉。)
B. (菲律宾的货币是比索。) or ((2 ** 3) == (18 + 9))
C. not (1952年奥运会在赫尔辛基举办。)
哪些选项的值为真？请列出所有为真的选项标识，用逗号分隔，填入 \boxed{} 中。 | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 45325506,
"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 (印度尼西亚的首都是马尼拉。)\nB. (菲律宾的货币是比索。) or ((2 ** 3) == ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((((not (Helium is a solid at room temperature.)) and (not ((-3 * 3) != (-8 + 20)))) and ((Australia is in Africa.) and ((-15 - 4) > (-4 - -11))) and (The capital of Portugal is Seoul.)) and ((not (Carbon dioxide is a gas at room temp... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 47625352,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 研究以下逻辑语句：
A. 捷克的货币是克朗。
B. (((41 % 6) < (2 - 19) < (10 * -8)) or ((2 ** 1) <= (5 * 8 * -7 * 2) <= (-1 - 10))) and (not (1932年奥运会在洛杉矶举办。))
C. (not (木星是距离太阳第6近的行星。)) or (not (九月有28天。))
D. (氮的化学符号是Au。) and ((-5 * -16) != (-5 + 18))
E. (87是质数。) or (((5 ** 2) >= (-1 * -8 + 7 * -8)) and (氖的化学符号是Ne。))
F. not (not not (肯尼亚位于非洲... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 10382682,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. 捷克的货币是克朗。\nB. (((41 % 6) < (2 - 19) < (10 * -8)) or ((2 ** 1) <... |
logic-v2 | Below are several boolean expressions:
A. not not (not not (not ((not ((The first moon landing occurred in 1969.) and (The currency of Colombia is the Peso.))) or ((36 % 5) == (14 - -13)))))
B. not not (((((not (Colombia is in South America.)) and ((The capital of Singapore is Wellington.) or (The square root of 225 i... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 26120941,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not (not not (not ((not ((The ... |
logic-v2 | 审视以下逻辑表达式：
A. 锰的化学符号是Na。
B. not not ((十一月有31天。) or ((2 + -10) <= (-6 * 3 + -1 * -7)))
C. not not ((九月有30天。) and (沙特阿拉伯的首都是雅典。))
D. (not not ((8 % 10) >= (-1 * 6 + 9 * -7))) and (((5 - -1) > (0 * -5 * 8 * -3)) or (86是质数。))
E. (光速约为每秒30万公里。) and (not (法国大革命开始发生在1790年。))
F. ((十月有31天。) or ((7 * 3) == (16 - -6))) or (空气在常温... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 51789782,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. 锰的化学符号是Na。\nB. not not ((十一月有31天。) or ((2 + -10) <= (-6 * 3 + ... |
logic-v2 | 下面是几个布尔表达式：
A. (((-3 * 3) >= (10 * -1 * -4 * 9)) or (((木星是距离太阳第5近的行星。) and ((7 - -17) <= (14 + -8))) or (not not ((16 + 0) != (1 % 3))))) and (((第一部iPhone发布发生在2002年。) or (西班牙位于南极洲。)) or (((16 * 19) != (-20 * 7)) or (汞的化学符号是Ni。))) and (not not (1992年是闰年。))
B. (not not (144的平方根是3。)) or (not (章鱼有4条腿。))
C. not not (((not ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 43260800,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (((-3 * 3) >= (10 * -1 * -4 * 9)) or (((木星是距离太阳第5近的行星。) and... |
logic-v2 | Below are several boolean expressions:
A. not ((((Spiders are insects.) or ((Mercury is the 1st planet from the Sun.) and ((-3 * 1 - -10 * 2) >= (1 ** 2)))) and (not (not ((3 - 15) <= (-12 + -10))))) or (((17 + -7) > (1 ** 3)) and (not not ((Russia is in Oceania.) or ((-8 - -19) < (-12 - -3))))))
B. not ((not (67 is a... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 79104154,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not ((((Spiders are insects.) or (... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((蜜蜂是昆虫。) and (not (沙特阿拉伯位于亚洲。)) and ((-3 - -18) == (-20 - -5)))
B. not (((((2 ** 3) <= (6 * 12) <= (-5 - 1)) or (孔雀是鱼类。)) or ((五月有29天。) or (水星是距离太阳第1近的行星。))) or (((鲨鱼是哺乳动物。) or ((-11 - -15) <= (-14 * 15))) and (((0 * -1 - 1 * 2) != (12 + -2)) and ((18 % 3) < (44 % 2) < (4 ** 2)))))
C. not ((no... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 14916729,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((蜜蜂是昆虫。) and (not (沙特阿拉伯位于亚洲。)) and ((-3 - -18) == (-20... |
logic-v2 | 考虑以下布尔表达式：
A. ((地球是距离太阳第4近的行星。) and (瑞典的首都是斯德哥尔摩。)) and ((哥伦布到达美洲发生在1487年。) and (2048年是闰年。))
B. (菲律宾的货币是比索。) or (not not (木星是距离太阳第8近的行星。))
C. (-10 * 7 - -4 * -5) >= (-5 - -11)
D. (中国的货币是比索。) or ((地球是距离太阳第3近的行星。) and (1966年是闰年。))
E. ((-1 * 1) > (-20 + 2)) and ((-14 + 2) < (5 * 16))
F. 地球是距离太阳第3近的行星。
G. (-9 * -3 - 7 * 3... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 36628298,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((地球是距离太阳第4近的行星。) and (瑞典的首都是斯德哥尔摩。)) and ((哥伦布到达美洲发生在1487年。) ... |
logic-v2 | Below are several boolean expressions:
A. (not ((((A ant has 2 legs.) or (The 2012 Olympics were held in Los Angeles.)) and (The currency of Israel is the Shekel.)) or (World War II began occurred in 1939.))) or ((not ((Plants produce oxygen through photosynthesis.) or (not ((-12 - -6) == (29 % 8))))) and ((((10 * -3)... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 94526222,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (not ((((A ant has 2 legs.) or (The 20... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((850是斐波那契数。) or (铬的化学符号是P。))
B. ((南非位于欧洲。) or (58能被9整除。)) and ((鲸鱼是鱼类。) and ((-13 * 14) <= (2 ** 1) <= (6 * -9 - -8 * 1)))
C. ((澳大利亚位于亚洲。) or ((-20 + -12) != (32 % 9))) or ((人类有三个肺。) and (金星是距离太阳第2近的行星。))
D. (not not ((-6 + 18) > (-8 * 0 + 3 * -2))) or (((1 * -6 - 2 * -4) >= (13 * 4)) and ((19 -... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 88677281,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not ((850是斐波那契数。) or (铬的化学符号是P。))\nB. ((南非位于欧洲。) or (58能被9整除... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((2018年是闰年。) or (9的平方根是15。)) or (2012年奥运会在悉尼举办。)) and (钻石由碳元素组成。)) or ((not not (哥伦布到达美洲发生在1492年。)) and ((汞在常温下是气体。) or ((1 ** 3) != (11 + -20)))) or (((not not ((2 ** 3) >= (-9 + -17))) or ((九月有30天。) and ((-13 + -11) == (17 % 10)))) and ((((-5 - -2) != (14 + 17)) or (英国位于南极洲。)) and (((3 ** ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 73132245,
"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. ((((2018年是闰年。) or (9的平方根是15。)) or (2012年奥运会在悉尼举办。))... |
logic-v2 | Examine these expressions:
A. not not ((The capital of Poland is Warsaw.) or (A frog has 4 legs.))
B. (United Kingdom is in Europe.) and (Silver is a solid at room temperature.)
C. Russia is in Europe.
D. ((44 % 9) != (-8 + 6)) and ((The Pacific Ocean is the largest ocean.) or (A lizard is a reptile.))
Which ones are... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 70598616,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. not not ((The capital of Poland is Warsaw.) ... |
logic-v2 | Given the following boolean expressions:
A. The currency of Mexico is the Krona.
B. (23 % 5) < (13 % 5)
C. not (((6 + 15) == (1 ** 2)) and ((10 - 7) < (-1 * 6 * -10 * -2)))
Select all that evaluate to True. Put your answer in \boxed{} as comma-separated labels. | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 68338549,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. The currency of Mexico is the Krona.... |
logic-v2 | Analyze these boolean expressions:
A. (not ((not not ((-6 - -6) < (16 % 3))) or (not not ((-14 * 18) > (4 - -15))))) or ((((24 % 2) <= (-11 * 11)) and ((The chemical symbol for Oxygen is He.) or ((-1 + 1) <= (4 ** 3)))) and (((18 - -8) > (-13 - -2)) or (((7 * -6 * -8 * 7) < (12 * 19)) and ((-8 + -10) < (-1 * 9)))))
B.... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 92488643,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (not ((not not ((-6 - -6) < (16 % 3)))... |
logic-v2 | Study the following logical statements:
A. not (not not (((-12 - 17) == (-19 + 7)) and (((Saturn is the 5th planet from the Sun.) or (A owl is a bird.)) or (((14 % 5) > (4 ** 3)) or ((-18 + 2) >= (0 * 0 * 8 * -4))))))
B. not ((((Spain is in Antarctica.) or ((The first iPhone was released occurred in 2007.) or ((10 - -... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 94796121,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not (not not (((-12 - 17) == (-19... |
logic-v2 | Consider the following logical expressions:
A. not ((6 * -15) < (2 * -10 + -2 * -7))
B. (not (not not ((3 ** 2) <= (-16 + 12)))) or ((not ((-16 * 11) >= (-5 * 13))) and ((The currency of India is the Franc.) and (A butterfly is an insect.)))
C. (not ((The capital of Belgium is Mexico City.) or (The capital of Belgium ... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 99641118,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. not ((6 * -15) < (2 * -10 +... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (The 2016 Olympics were held in Rio de Janeiro.)
B. (((World War I ended occurred in 1918.) or ((-7 * -7 * -1 * 10) == (-11 * -14))) and ((52 is an even number.) or (World War I ended occurred in 1918.))) or ((10 - 1) < (3 - 19))
C. (The Great Fire of London oc... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 27045737,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (The 2016 Olym... |
logic-v2 | 检验这些表达式：
A. not not (((-15 - -6) >= (-4 * -11)) and ((3 * 3 + -7 * -9) == (5 ** 2)))
B. 狗有4条腿。
C. (((7 + -10) <= (2 * -7 * 5 * 2)) and ((-5 * -5 + 7 * 7) <= (0 - -18) <= (-11 + 16))) or ((8 + 4) != (-16 * 19))
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": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 5507539,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not not (((-15 - -6) >= (-4 * -11)) and ((3 * 3 + -7 * -9) == (5 **... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (not not (((6 - -13) <= (15 * 9) <= (-2 + -2)) and (Egypt is in Africa.)))) or ((not not (The currency of Singapore is the Dollar.)) or ((192 is a perfect square.) or (2045 is a leap year.))) or ((not not (Venus is the 2nd planet fro... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 24624563,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 研究以下逻辑语句：
A. (((5 ** 3) >= (5 * -2)) or ((1 + 0) == (-10 + 12))) and (((-17 - 19) == (-10 * 0 + -5 * 5)) or (智利位于南美洲。))
B. 空气在常温下是气体。
C. ((-6 * -8 + 1 * 0) > (-2 + -20)) and (韩国位于亚洲。)
D. (16 * 3) <= (2 * -6 + -9 * 10)
E. (((14 - -3) <= (11 + -8) <= (26 % 6)) and (49是质数。)) or ((希腊的首都是雅典。) or (蝙蝠是瞎的。))
F. ((1956年奥运会在伦敦举... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 345462,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. (((5 ** 3) >= (5 * -2)) or ((1 + 0) == (-10 + 12))) and (((-1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (20 - 17) > (-18 * -13)
B. Kenya is in Africa.
C. not (((15 - -7) >= (-2 * -7 * -6 * 9)) and (Wood is a solid at room temperature.))
D. (2 ** 1) <= (14 - 12) <= (1 * 8 * 7 * 8)
E. (The chemical symbol for Sodium is Pb.) and (The capital o... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 48498390,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 给定以下布尔表达式：
A. ((((第一部iPhone发布发生在2008年。) and (金在常温下是气体。)) or (not not (金枪鱼是鱼类。))) and (2052年是闰年。)) and (((((9 * 18) <= (-9 * 13)) or ((-6 * 11) == (-4 * -10 - -2 * -7))) or ((-13 - 5) <= (-7 * 5 + -6 * -5))) or (((奥地利的首都是罗马。) and ((8 + 11) > (-1 * -4 + 0 * 8))) and ((新西兰位于大洋洲。) and (英国位于欧洲。))))
B. not not (not not ((南非... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 11151037,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((((第一部iPhone发布发生在2008年。) and (金在常温下是气体。)) or (not not (金枪鱼是鱼类... |
logic-v2 | 分析以下逻辑表达式：
A. (((-18 * -15) >= (-3 * 7 * -8 * -6)) or (((21 % 6) == (12 + 5)) or (氯的化学符号是Na。)) or (((挪威的首都是雅加达。) and ((4 * 8 * 1 * -3) != (6 % 2))) and (鸡是鸟类。))) or (not (not not (not not ((1 - 15) < (-6 * 9)))))
B. (not (龙虾有4条腿。)) or ((not not (((-19 * 9) <= (-19 - -10)) and (鲸鱼是鱼类。))) or ((2 * -15) <= (41 % 4) <= (-... | {
"game_data": {
"answer": "A,B,C,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 23467866,
"true_count": 7
},
"question": "分析以下逻辑表达式：\n\nA. (((-18 * -15) >= (-3 * 7 * -8 * -6)) or (((21 % 6) == ... |
logic-v2 | 分析以下逻辑表达式：
A. ((((-4 * -4) <= (45 % 6) <= (16 + 14)) and (not ((肯尼亚的首都是内罗毕。) and (1976年奥运会在圣路易斯举办。)))) and (not ((not not (马来西亚的货币是林吉特。)) and ((地球上一天是24小时。) and (十一月有30天。))))) or ((not not (((希腊的首都是雅典。) or (1924年奥运会在里约热内卢举办。)) and ((人类只使用了大脑的10%。) or (捷克的货币是越南盾。)))) or (((2 ** 1) < (2 ** 1) < (7 * -3 - -5 * 2)) or ((-... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 89879739,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((((-4 * -4) <= (45 % 6) <= (16 + 14)) and (not ((肯尼亚的首都是内罗毕... |
logic-v2 | Evaluate each expression below:
A. not not (not (not (Venus is the 2nd planet from the Sun.)))
B. ((((-12 * 0) >= (-6 * 5 - -10 * -10)) and ((-4 * -6 - -5 * -5) < (10 - -9))) and (The square root of 16 is 4.)) or (The chemical symbol for Titanium is Ti.)
C. not not (not (The currency of South Africa is the Rand.))
D. ... | {
"game_data": {
"answer": "A,B,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 11021041,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not not (not (not (Venus is the 2nd pla... |
logic-v2 | Study the following logical statements:
A. not not (not (((A shark is a fish.) and (not not (The currency of Indonesia is the Rupiah.))) or (The chemical symbol for Silicon is Ti.) or ((((3 ** 2) > (-5 - -12)) and ((0 * 8 - -5 * 4) >= (-3 - 8))) and (not (The capital of Poland is Prague.)))))
B. not not (((not not (((... | {
"game_data": {
"answer": "B,C,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 61613718,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. not not (not (((A shark is a ... |
logic-v2 | Evaluate each expression below:
A. (not (((The currency of Israel is the Koruna.) and (The chemical symbol for Manganese is Hg.)) or (The chemical symbol for Carbon is P.) or ((The first Olympic Games of modern era occurred in 1896.) or ((-4 * 8 * 7 * 7) != (-4 - -17)) or (((The currency of Singapore is the Dollar.) o... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 27375121,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (not (((The currency of Israel is the Koruna.... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (not ((((not ((36 % 8) <= (3 * 2 + -3 * -2))) and (((37 % 1) < (5 * -9 - -3 * 9) < (40 % 8)) or ((1 ** 2) <= (-4 * -7 - -8 * 9)))) and (((10 * 6 + 8 * 3) > (1 + 20)) and ((8 * -3 - 2 * 4) >= (3 ** 2))) and ((((1 % 4) < (0 * -10 - 0 * 2)) or (地球是距离太阳第3近的行星。)) or ((11 - 1) < (3 * -19) < (-14 ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 43045846,
"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 ((36 % 8) <= (3 * 2 + -3 * -2))) an... |
logic-v2 | Given the following boolean expressions:
A. not not ((7 * -18) <= (0 + 20))
B. ((not not ((-1 + 6) != (-8 * -10 + -9 * 0))) or (((-6 + 13) <= (46 % 7) <= (-2 * 7 - 1 * 5)) and ((-3 - -15) >= (-2 - -8)))) or (((11 - 6) == (-8 - 3)) and (A snake is a fish.)) or ((-12 + 5) < (-15 * -18))
C. (((The currency of Colombia is... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 69824387,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not ((7 * -18) <= (0 + 20))\nB... |
logic-v2 | 下面是几个布尔表达式：
A. (((not not ((-7 * -11) < (4 * 0 - 6 * -1))) and (((8 * 4) != (9 * -1 * -9 * -7)) and (锰的化学符号是Mn。))) or (not not (not (((0 * -2) >= (10 * -7 * 0 * -9)) or ((10 % 3) >= (15 * 10)))))) and (((not not (((-14 + 2) < (3 * 15) < (0 - -11)) or (马来西亚的货币是福林。))) and ((月球绕地球运转。) and ((19 - 6) <= (-9 * 9 * -8 * -4))... | {
"game_data": {
"answer": "B,C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 6940461,
"true_count": 6
},
"question": "下面是几个布尔表达式：\n\nA. (((not not ((-7 * -11) < (4 * 0 - 6 * -1))) and (((8 * 4... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (9 % 9) < (22 % 8) < (-5 * 4)
B. not not (not (36 is divisible by 4.))
C. (((-1 + 0) == (-9 * -9 + -2 * -5)) or (A snake has 0 legs.)) and (not (The first moon landing occurred in 1969.))
D. (not not (The currency of Malaysia is the Ringgit.)) and ((50 % 7) != (18 - -4... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 64486360,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (9 % 9) < (22 % 8) < (-5 * 4)\... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not not (not not ((The 1896 Olympics were held in Athens.) and ((-7 * 18) == (2 * -10 + 2 * -2))))) and ((((The French Revolution began occurred in 1789.) and ((2 + 10) <= (2 ** 3))) and ((The currency of Sweden is the Dollar.) or ((0 *... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 45993208,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not not ((((-10 - -12) <= (5 ** 3)) or ((-12 * -19) < (10 * -3 * 10 * 4))) and ((比利时的首都是布鲁塞尔。) and ((0 * 5 - 0 * -4) < (9 - -5))))) or ((马有4条腿。) and (汞在常温下是液体。))
B. not (((-13 - -17) >= (20 - 7)) or (not not ((35 % 3) < (17 - 7) < (-9 * 16))) or (((美国位于北美洲。) or ((18 + -5) <= (1 ** 1))) or (第一次世界大战... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 86682985,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not not ((((-10 - -12) <= (5 ** 3)) or ((-12 * -19) < (10... |
logic-v2 | Given the following boolean expressions:
A. (not (((5 ** 3) != (5 * -8 * 5 * -7)) and ((18 - 19) <= (-5 * 16)))) or ((Alcohol is a gas at room temperature.) or ((5 - 8) < (-14 + -1) < (0 + -11))) or (not not (not not (The capital of Cuba is Havana.)))
B. (not ((There are 30 days in February.) or (The 2000 Olympics wer... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 44874813,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. (not (((5 ** 3) != (5 * -8 * 5 * -7)... |
logic-v2 | Evaluate each expression below:
A. (not ((The Sun revolves around the Earth.) or ((-3 * 10 - -4 * 4) <= (-4 * -8)))) or (not (((-3 * 7 * 10 * -3) == (7 - 4)) and (The first airplane flight by the Wright Brothers occurred in 1903.)))
B. ((-10 - 7) <= (-1 + -19)) and (The chemical symbol for Chlorine is Cl.)
C. (The cap... | {
"game_data": {
"answer": "A,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 38971998,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. (not ((The Sun revolves around the Ea... |
logic-v2 | Evaluate each expression below:
A. ((not (Uranus is the 1st planet from the Sun.)) or ((not ((4 ** 2) >= (-1 * -9 - -4 * 6))) and (Oil is a liquid at room temperature.))) and (((((The 1988 Olympics were held in Seoul.) and (A butterfly has 6 legs.)) and ((4 * -2) < (13 * -2) < (8 + 20))) and (((Earth is the 3rd planet... | {
"game_data": {
"answer": "A,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 668312,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. ((not (Uranus is the 1st planet from the Su... |
logic-v2 | 考虑以下布尔表达式：
A. (20 * -12) > (6 * -5 - 7 * -4)
B. (-10 * 9 + 3 * 2) < (7 * 3 + -6 * 10) < (12 * -18)
C. 摩洛哥的首都是拉巴特。
D. 牛有0条腿。
E. not not ((新西兰的首都是巴西利亚。) and (水在常温下是气体。))
F. not not (((8 * 2 + 8 * -8) != (2 ** 1)) or ((2 * -4 + 6 * 4) > (-19 * -10)))
G. (not ((14 - -10) == (4 ** 1))) or (not not ((-3 - -17) != (-1 + -18)... | {
"game_data": {
"answer": "C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 10202841,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (20 * -12) > (6 * -5 - 7 * -4)\nB. (-10 * 9 + 3 * 2) < (7 * 3 ... |
logic-v2 | Examine these expressions:
A. (not not (The chemical symbol for Tin is P.)) or (not not ((2 ** 3) >= (8 * -17)))
B. (not (66 is a perfect square.)) and (not not ((3 + 7) == (5 - -11)))
C. (The first iPhone was released occurred in 2007.) or (not not (The 2012 Olympics were held in Tokyo.))
D. ((The chemical symbol for... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 27874971,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (not not (The chemical symbol for Tin is P.)) ... |
logic-v2 | Evaluate each expression below:
A. not ((not (not not (((Thailand is in Africa.) or (The chemical symbol for Mercury is Fe.)) or (41 is divisible by 2.)))) and (not ((((The currency of Poland is the Zloty.) or ((1 - -1) != (-5 + -20))) or ((Japan is in South America.) and ((-17 + 17) == (-2 * 4 - 6 * 4)))) or (not not... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 70751576,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not ((not (not not (((Thailand is in Africa... |
logic-v2 | 给定以下布尔表达式：
A. ((((丹麦的货币是克朗。) or ((11 - 3) == (-14 * -15))) or (墨西哥的首都是开罗。)) or (not ((波兰的首都是哈瓦那。) and ((2 - -8) > (20 - 15))))) and (not ((((10 - -8) > (-1 - 1)) or ((-12 + -5) >= (-18 * 7))) or ((钛的化学符号是Ti。) or (水在海平面上的沸点是100摄氏度。))))
B. ((not not (((2 + -20) <= (9 - 13)) and (青蛙有0条腿。))) or (柏林墙倒塌发生在1989年。) or ((-7 * ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 31832444,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((((丹麦的货币是克朗。) or ((11 - 3) == (-14 * -15))) or (墨西哥的首都是开罗。)) or... |
logic-v2 | 评估以下每个表达式：
A. (not ((15是偶数。) and ((4 - -10) < (-4 * -2 * -6 * -5)))) or ((((2016年奥运会在里约热内卢举办。) or ((99是奇数。) or (二氧化碳在常温下是气体。))) or (not not ((4 + 15) > (2 ** 2)))) or (not not (牛有8条腿。)))
B. ((not not (((18 % 3) > (5 ** 2)) or (韩国位于亚洲。))) or ((((5 * -14) <= (-17 * 13)) and (鱼有0条腿。)) or ((氧的化学符号是Pt。) or (鳕鱼是鸟类。))) or ((... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 76050800,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (not ((15是偶数。) and ((4 - -10) < (-4 * -2 * -6 * -5)))) or ((... |
logic-v2 | Given the following boolean expressions:
A. not not (The chemical symbol for Uranium is U.)
B. (The 1924 Olympics were held in Paris.) or ((not not ((-11 * -4) >= (20 + -10))) or (((-19 + -17) == (-17 + -9)) and (The capital of Austria is Vienna.)))
C. (((20 + 17) != (4 * 3 - -2 * -6)) or ((The capital of Poland is Wa... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 84298182,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not not (The chemical symbol for... |
logic-v2 | 考虑以下布尔表达式：
A. not (not not ((not (((法国位于欧洲。) and (1988年奥运会在圣路易斯举办。)) and ((-6 * 1 + 8 * -4) < (7 - 13) < (-14 + 9)))) and (((3 ** 1) != (-2 * 9 * 5 * -5)) and (not not (袋鼠有10条腿。)))))
B. not (not not ((not (空气在常温下是气体。)) or ((火星是距离太阳第4近的行星。) and (((6 + 2) > (-9 * -16)) and (冰在常温下是固体。))) or ((((136是完全平方数。) and (植物通过光合作用产... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 20939596,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not (not not ((not (((法国位于欧洲。) and (1988年奥运会在圣路易斯举办。)) and ((-... |
logic-v2 | 考虑以下布尔表达式：
A. ((-1 + -12) != (4 * -2)) and (not not ((19 - 14) <= (8 * -9)))
B. (not ((17 * 13) < (5 * 8) < (-8 * 8 - 3 * 8))) and (not (163是斐波那契数。))
C. ((委内瑞拉的首都是布达佩斯。) or ((11 * 7) == (-1 * -1 + -10 * -6))) and (地球上一天是24小时。)
D. ((-13 * -6) < (3 ** 3)) or (not (企鹅能飞翔。))
E. ((1 ** 1) != (-16 * 17)) or ((4 - -9) < (4 *... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 53336214,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((-1 + -12) != (4 * -2)) and (not not ((19 - 14) <= (8 * -9)))... |
logic-v2 | Given the following boolean expressions:
A. (18 - 10) < (22 % 6)
B. (not ((5 * 1 - -10 * -6) <= (14 - 2) <= (2 ** 3))) and ((The square root of 196 is 14.) and (The Moon orbits the Earth.))
C. (not not ((13 * -14) < (5 - 14))) and (not not ((-4 + -20) != (5 % 3)))
D. Alcohol is a liquid at room temperature.
E. not not... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 94750891,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (18 - 10) < (22 % 6)\nB. (not ((... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((not not ((not not (水星是距离太阳第3近的行星。)) or (((-12 + -16) > (6 * 16)) and (1956年奥运会在墨尔本举办。)))) and ((((阿根廷的货币是比索。) or ((-3 * -1 - -2 * -9) == (11 + 19))) and (((-6 * -2 - -6 * -5) < (-2 * 5)) or ((-20 * -4) <= (23 % 6)))) or ((2 ** 3) > (-10 * 8 - 0 * -3)) or (not ((地球绕太阳运转。) and ((8 - -12) <=... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 53621103,
"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 (水星是距离太阳第3近的行星。)) or (((-12 ... |
logic-v2 | Evaluate each expression below:
A. not not (not ((Canada is in North America.) or ((15 - 8) < (10 - -18))))
B. (((15 + -3) < (-4 * 0 * -2 * -6) < (0 * -8 - -2 * 1)) or ((The square root of 100 is 13.) and ((4 - -7) != (2 * 1 - -6 * 8)))) and (not (((16 + -2) == (1 ** 2)) and ((6 - 2) > (-20 * 15))))
C. not ((not not (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 28335233,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not not (not ((Canada is in North America.) o... |
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 ((泰坦尼克号沉没发生在1912年。) and (氮气在常温下是气体。)))
B. not not ((((5 ** 3) != (-15 + -5)) or (埃及位于非洲。)) or (not (镍的化学符号是Ag。)))
C. (荷兰的首都是内罗毕。) and (not (((2 ** 2) < (26 % 7) < (-4 * 0 - 7 * 2)) and ((29 % 5) > (-7 + -4))))
D. (not (not (瑞士的货币是瑞士法郎。))) or (not (not (法国大革命开始发生在1789年。)))
E. ((not... | {
"game_data": {
"answer": "B,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 10946266,
"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 (not ((泰坦尼克号沉没发生在1912年。) and (氮气在常温下是气体。)... |
logic-v2 | Analyze these boolean expressions:
A. not not (Morocco is in Africa.)
B. (((The currency of Argentina is the Peso.) and (The capital of Finland is Singapore.)) or (180 is a perfect square.)) and (not (491 is a Fibonacci number.)) and ((not (The 2024 Olympics were held in Amsterdam.)) and (((1 * -4 * 8 * 2) != (6 - 11)... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 48906736,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not (Morocco is in Africa.)\nB. (((T... |
logic-v2 | 检验这些表达式：
A. (((西班牙位于大洋洲。) and ((((-18 - 6) >= (5 ** 2)) and (194是完全平方数。)) and (not ((4 * 18) >= (-19 - -1))))) or (not not (not (((16 - -18) > (7 % 9)) or (印度位于南美洲。))))) or (((14 * -6) != (-15 * -8)) or ((10 * 1) > (-7 * 8 + 7 * 3))) or (((not (((10 - 4) != (1 ** 2)) and (日本的首都是伯尔尼。))) and ((10 + -9) >= (-8 * 11))) or... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 88581386,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (((西班牙位于大洋洲。) and ((((-18 - 6) >= (5 ** 2)) and (194是完全平方数。)) and ... |
logic-v2 | Evaluate each expression below:
A. ((-8 - 10) < (-3 * 3 - -3 * -10)) or ((((3 + -17) != (3 * -20)) and ((-9 * -6 + -8 * -3) != (25 % 6))) and ((The capital of Morocco is Rabat.) and (68 is an odd number.)))
B. ((New Zealand is in Oceania.) and (not not (The capital of Chile is Santiago.))) and (not ((Australia is in E... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 79934574,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. ((-8 - 10) < (-3 * 3 - -3 * -10)) or ((((3 + ... |
logic-v2 | Review these logical expressions:
A. not (((-3 * -3 - 1 * -10) >= (10 * 5)) or (A horse has 6 legs.))
B. not not ((4 * -7 - -4 * -8) < (3 * 10 * 1 * 3))
C. ((((2 * -3 + 9 * 7) != (8 + 5)) and ((-5 * 1 + 9 * 3) <= (9 - 15))) and (((-10 * -5 - -4 * -10) < (49 % 7) < (15 % 10)) and ((40 % 4) < (-11 * 4)))) and (The 2000 ... | {
"game_data": {
"answer": "A,B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 59005140,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not (((-3 * -3 - 1 * -10) >= (10 * 5)... |
logic-v2 | 下面是几个布尔表达式：
A. 地球上一天是24小时。
B. ((not not ((not ((-2 * -10 + -3 * -4) <= (-13 * 11))) and (氦气在常温下是固体。))) and ((伦敦大火发生在1661年。) and (((俄罗斯位于欧洲。) and ((-11 - -9) >= (13 * -16))) or (((-7 - -7) != (14 + -13)) and ((-20 - 18) > (-18 + -9)))))) or (not not ((((6 * 7 - 0 * -8) > (9 * -3)) and (((-11 + -12) <= (3 * 10 + -5 * 0)... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 72225828,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. 地球上一天是24小时。\nB. ((not not ((not ((-2 * -10 + -3 * -4) <= (-13 * 1... |
logic-v2 | 审视以下逻辑表达式：
A. ((-4 + 3) > (-12 * -4)) or ((牛有4条腿。) and (((-7 * -1 * 8 * 1) >= (-9 + -16)) or ((-4 * -9) == (9 * 2 - -4 * 1))))
B. not (((3 * -5 - -7 * 9) != (-4 * 8)) and (not ((18 + -3) < (-15 + 8))))
C. ((月球绕地球运转。) and (((-10 * 11) < (-9 - -2) < (40 % 5)) or ((4 - 16) >= (13 - -10)))) or (((-11 * 6) < (-1 + 0)) and ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 50910225,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((-4 + 3) > (-12 * -4)) or ((牛有4条腿。) and (((-7 * -1 * 8 * 1) >... |
logic-v2 | 研究以下逻辑语句：
A. ((((尼日利亚的首都是阿布贾。) or ((-19 - 5) <= (-9 * -8 * 10 * -10))) or ((14 + 10) < (19 % 6))) or (not not (((3 * 11) >= (-2 * 7 * -5 * 7)) and (木星是距离太阳第8近的行星。)))) or ((((柏林墙倒塌发生在1999年。) and ((5 + 0) > (4 + 13))) or (人类只使用了大脑的10%。)) and ((((-8 - 2) != (-6 * -14)) or ((0 + 5) < (41 % 6))) and (匈牙利的首都是内罗毕。)))
B. (not... | {
"game_data": {
"answer": "A,B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 44088713,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. ((((尼日利亚的首都是阿布贾。) or ((-19 - 5) <= (-9 * -8 * 10 * -10))) or ((... |
logic-v2 | 考虑以下布尔表达式：
A. (not not ((1 + 2) == (-13 - -6))) or (((-12 - -16) == (10 + -9)) or (土星是距离太阳第6近的行星。))
B. (((16 - -18) > (-1 + 20)) and ((43 % 10) >= (1 + 6))) or (not ((-4 * 7 - 4 * -7) <= (2 * -2)))
C. (((1 ** 3) <= (4 % 6)) or (猫有4条腿。)) or ((1 ** 1) < (12 * 13) < (3 % 1))
D. not (not not ((3 ** 1) <= (-3 * -13)))
E. 秘... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 16197337,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. (not not ((1 + 2) == (-13 - -6))) or (((-12 - -16) == (10 + ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 英国的货币是新加坡元。
B. ((伦敦大火发生在1666年。) and ((-17 * 19) <= (24 % 2))) and (not not (土星是距离太阳第5近的行星。))
C. ((4 * -7 * 8 * 1) < (-9 * 7)) and (木星是距离太阳第5近的行星。)
D. 秘鲁的首都是利马。
E. (not ((19 * -7) > (18 % 3))) or (声音在真空中传播更快。)
F. (-12 - -7) <= (6 * 5 + 2 * 5)
G. (人体有150块骨头。) and (((3 * 0 + 6 * 5) <= (2 ** 3)) a... | {
"game_data": {
"answer": "C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 13047737,
"true_count": 5
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. 英国的货币是新加坡元。\nB. ((伦敦大火发生在1666年。) and ((-17 * 19... |
logic-v2 | Study the following logical statements:
A. not not ((((The chemical symbol for Nickel is K.) or ((3 - 10) == (2 * 5 - 5 * -9))) and (((16 + -17) <= (0 * 19) <= (-16 * -11)) or ((4 * 0 - 2 * -9) < (8 * -6 * 3 * -3)))) and (not not (((-4 * 0 * -10 * 0) <= (1 + -11)) or ((18 % 7) >= (20 + -1)))))
B. ((((A shark is a mamm... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 24768766,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not ((((The chemical symbol for... |
logic-v2 | Study the following logical statements:
A. not not ((not (not not ((-5 + -16) <= (5 * -3 - 10 * 2)))) and ((not (not (144 is a perfect square.))) and ((((18 * 4) != (-15 * 12)) or ((-14 + 0) > (1 * 8 * 0 * -6))) and (The capital of Venezuela is Riyadh.))))
B. ((not not ((((-16 + -19) == (-13 - 1)) or (Earth is the 3rd... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 92880649,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not ((not (not not ((-5 + -16) ... |
logic-v2 | 检验这些表达式：
A. (not not ((4 ** 3) > (2 + -16))) and (not (蜜蜂是昆虫。))
B. (not (第二次世界大战开始发生在1937年。)) or (1924年奥运会在巴黎举办。)
C. 声音在真空中传播更快。
D. (((15 * 12) < (19 - 10) < (4 * -6 - -6 * -8)) and ((9 * -11) <= (-5 * -2 * -4 * -7))) or ((2030年是闰年。) or (人类有2条腿。))
E. (not not (现代奥运会首届举办发生在1896年。)) or (((3 * -5) != (-10 + -6)) or ((-8 ... | {
"game_data": {
"answer": "B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 23766307,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (not not ((4 ** 3) > (2 + -16))) and (not (蜜蜂是昆虫。))\nB. (not (... |
logic-v2 | 分析以下逻辑表达式：
A. (not not (not not (土耳其的货币是越南盾。))) or ((土星是距离太阳第5近的行星。) and ((16 + 14) <= (-20 * 18))) or (((鸡是鸟类。) and ((16 + -10) <= (-4 * -5 * 10 * 9))) and (哥伦布到达美洲发生在1491年。))
B. (日本位于亚洲。) and (哥伦布到达美洲发生在1494年。)
C. (章鱼有100条腿。) or (((40 % 6) < (-11 - 9)) and ((金鱼是爬行动物。) or ((1 - -11) <= (16 + 3))))
D. not ((not not ((... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 77601732,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not not (not not (土耳其的货币是越南盾。))) or ((土星是距离太阳第5近的行星。) and ((16 + ... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not ((10 * 10 - 1 * -7) < (-18 + -17))) or ((((螃蟹有2条腿。) and (月球绕地球运转。)) or (not not (日本的首都是东京。))) or (((氧气在常温下是气体。) or (德国的首都是基辅。)) and ((15大于54。) and ((6 + -1) >= (-7 * 4 - 9 * -10)))))) and (((((油在常温下是液体。) and (菲律宾的首都是马尼拉。)) or (not ((3 % 1) <= (15 + -1)))) and ((19 - 6) > (-10 * -8 * 10 * 4))) o... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 97156621,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. ((not not ((10 * 10 - 1 * -7) < (-18 + -17))) or ((((螃蟹有2条腿。) an... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not ((17 * -9) == (20 - -7)))
B. not not (not not (not (The chemical symbol for Zinc is Na.)))
C. (Sharks are mammals.) and (not ((49 % 2) != (13 + 9)))
D. not not ((not not ((-5 * 0 + -1 * 6) < (-9 * 16) < (-4 * -18))) and (Humans o... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 96572936,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 下面是几个布尔表达式：
A. (((17 % 1) < (-10 * 6) < (3 * 2 * 9 * 5)) and ((5 ** 3) <= (-17 + -19)) and ((not not (189是斐波那契数。)) or (not ((6 + -2) > (19 * -2))))) or ((not not ((秘鲁的货币是索尔。) and (十二月有29天。))) or (((1972年奥运会在伦敦举办。) and (十二月有31天。)) and ((八月有31天。) and (印度的货币是越南盾。))))
B. not (((((-7 * -4) < (4 * -14)) or (三月有31天。)) and (n... | {
"game_data": {
"answer": "B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 45403607,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (((17 % 1) < (-10 * 6) < (3 * 2 * 9 * 5)) and ((5 ** 3) <= (-... |
logic-v2 | Consider the following logical expressions:
A. (-2 * 2) != (16 % 2)
B. ((Water is a liquid at room temperature.) or ((1 ** 3) <= (8 % 5))) and (((-4 * 1 - 10 * 3) != (16 + 11)) or (The 1956 Olympics were held in Barcelona.))
C. (A gecko is an insect.) or ((The capital of Cuba is Havana.) or ((-7 * -7 * 2 * 3) <= (2 * ... | {
"game_data": {
"answer": "A,B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 33657194,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. (-2 * 2) != (16 % 2)\nB. ... |
logic-v2 | Analyze these boolean expressions:
A. Light travels faster than sound.
B. ((not not (not ((-15 + -15) <= (-20 - 6) <= (6 * -20)))) or ((-17 + -17) != (45 % 1)) or (((((9 * 8 + 7 * 4) >= (-2 + -18)) or (Jupiter is the 5th planet from the Sun.)) or ((Nitrogen is a solid at room temperature.) or (Chile is in South Americ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 47347627,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. Light travels faster than sound.\nB. ((not... |
logic-v2 | 给定以下布尔表达式：
A. (((not (铀的化学符号是Hg。)) or ((20 + -17) < (-6 - 1))) or (哥伦比亚的货币是印尼盾。) or (((-10 * -5 + 5 * 7) >= (-4 * -8 - 0 * 1)) and (((12 + -16) <= (15 * 17) <= (-8 - -2)) or (南非位于欧洲。)))) or ((not not (((8 * -4 - -8 * 2) <= (1 ** 2) <= (-15 + -11)) or (巴西位于南美洲。))) or (水星是距离太阳第6近的行星。) or (沙特阿拉伯位于亚洲。))
B. not (((14 * -15... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 95499440,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (((not (铀的化学符号是Hg。)) or ((20 + -17) < (-6 - 1))) or (哥伦比亚的货币是印... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not ((not (not not (The capital of Egypt is Bucharest.))) or ((Oil is a liquid at room temperature.) and ((-7 * -11) >= (-7 * -6 + -7 * 1))) or ((((-2 - -18) <= (2 + -10)) or ((-10 - 0) <= (25 % 3))) and (((7 * -7 + 6 * 6) < (11 - -16)) or ((16 - -6) != (4 ** 3)))... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 47379113,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not ((not (not not (The... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not (((not not (((8 * -6 * 6 * 3) > (17 + -12)) or (印度尼西亚位于大洋洲。))) or (意大利的首都是罗马。)) and ((not not (尼日利亚位于非洲。)) or ((新加坡的货币是新加坡元。) or ((-3 * 2 - -6 * -5) <= (-9 * -8 - -1 * 0) <= (-5 + -20)))) and ((((第二次世界大战结束发生在1950年。) or (2085年是闰年。)) or (not not (菲律宾的首都是马尼拉。))) and ((沙特阿拉伯位于亚洲。) or (not ((-8 ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 12971319,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not (not (((not not (((8 * -6 * 6 * 3) > (17 + -12)) or (印度... |
logic-v2 | 审视以下逻辑表达式：
A. ((not (((6 * 2) < (2 * -7 * -2 * -1)) or ((-15 * 19) >= (13 * -6)))) or ((-18 + -9) >= (17 - -11)) or (铁的化学符号是Fe。)) or (((-7 * 0) < (-8 * -7)) and (((柏林墙倒塌发生在1999年。) and (丹麦的首都是罗马。)) or (not ((-12 - 18) > (0 - 6)))))
B. not (((((-8 + 4) == (5 * -2 + -2 * -9)) and (木星是距离太阳第4近的行星。)) or (((-1 * 10 + -8 * 3)... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 45475052,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. ((not (((6 * 2) < (2 * -7 * -2 * -1)) or ((-15 * 19) >= (13 ... |
logic-v2 | 检验这些表达式：
A. (((((-1 - -20) != (19 * 7)) or (not ((17 + 11) == (23 % 8)))) or (乌克兰的首都是基辅。)) or (not (((6 * -4) <= (-13 - -3)) or ((1974年是闰年。) or (铜的化学符号是Mg。))))) or (((-1 * 16) >= (10 + -6)) or ((1 * 10 * 3 * 3) > (6 * -9 - -2 * -3))) or (((((13 * -1) == (46 % 5)) and ((第二次世界大战结束发生在1940年。) or (瑞典的首都是斯德哥尔摩。))) and ((not... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 49788544,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (((((-1 - -20) != (19 * 7)) or (not ((17 + 11) == (23 % 8)))) or (... |
logic-v2 | Study the following logical statements:
A. (not not ((3 - 11) != (11 * -13))) and ((-12 - 18) < (-20 - 2)) and ((not not ((-15 + -3) <= (-2 * 9 - -1 * 0))) or (not not (There are 28 days in September.)))
B. ((((8 + -2) <= (7 * -2 + 9 * -6) <= (-12 * 14)) or ((7 * -3) < (2 ** 1))) or (Canada is in Antarctica.)) or ((((... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 85842750,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not not ((3 - 11) != (11 * -13))) ... |
logic-v2 | 给定以下布尔表达式：
A. 2012年奥运会在伦敦举办。
B. (not not ((6 % 7) > (15 * -3))) and (法国的首都是巴黎。)
C. (((0 * 7) >= (-7 - 1)) and ((9 % 5) < (33 % 1))) and ((16 + -13) <= (-8 * 10 + -3 * 7))
D. 狗有4条腿。
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": 4,
"seed": 80040668,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. 2012年奥运会在伦敦举办。\nB. (not not ((6 % 7) > (15 * -3))) and (法国的首都是... |
logic-v2 | Review these logical expressions:
A. not (A snake has 100 legs.)
B. not not (not (not not (The 2000 Olympics were held in Moscow.)))
C. (not ((Uranus is the 7th planet from the Sun.) or (The first Olympic Games of modern era occurred in 1896.))) or (The 2004 Olympics were held in London.)
D. not ((5 ** 1) < (-9 * 13))... | {
"game_data": {
"answer": "A,B,D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 73937971,
"true_count": 7
},
"question": "Review these logical expressions:\n\nA. not (A snake has 100 legs.)\nB.... |
logic-v2 | Review these logical expressions:
A. not not ((not (not not (((2075 is a leap year.) and (The 1912 Olympics were held in Seoul.)) or (The chemical symbol for Chromium is C.)))) and (((((A sparrow is a bird.) or ((-7 * -7 + 3 * -6) != (17 * 0))) or (India is in Oceania.)) or (not ((The chemical symbol for Gold is Si.) ... | {
"game_data": {
"answer": "A,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 76851386,
"true_count": 6
},
"question": "Review these logical expressions:\n\nA. not not ((not (not not (((2075 is... |
logic-v2 | 分析以下逻辑表达式：
A. not not (not (not not (not not (瑞典的货币是林吉特。))))
B. not not (not not (not (not not ((-5 + 8) <= (-2 * 1 + -9 * 4)))))
C. not not (not not (not not (((not not (阿根廷的货币是比索。)) and ((猪有10条腿。) or (1902年是闰年。))) and (十月有31天。))))
D. not (((not (1976年奥运会在安特卫普举办。)) or (((((35 % 4) == (-7 * -17)) and (秘鲁的货币是日元。)) and ... | {
"game_data": {
"answer": "A,B,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 46420543,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not not (not (not not (not not (瑞典的货币是林吉特。))))\nB. not not (... |
logic-v2 | 研究以下逻辑语句：
A. (((-1 * -6 - -2 * 1) < (-9 * -7 + 2 * -1)) and (not not ((汞在常温下是液体。) or ((-10 + -12) > (13 + -17))))) and (((17 % 7) > (25 % 5)) or (not not (((-10 + 13) > (30 % 5)) and ((5 ** 2) <= (-9 * 9 + 0 * 4)))))
B. ((1988年奥运会在首尔举办。) or ((汞在常温下是液体。) or ((7 * -9 + 7 * 0) == (4 * 11))) or ((6 - -6) == (9 * 8 - 10 * ... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 89402166,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. (((-1 * -6 - -2 * 1) < (-9 * -7 + 2 * -1)) and (not not ((汞在常... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((((13 + 9) <= (18 - -10) <= (4 + -11)) or ((8 * -10 - 3 * 3) > (-7 * 0 * 5 * 8))) and (((8 + 1) != (-8 + -1)) or ((20 * 4) < (-3 * -13)))) or (not (not not (哥伦布到达美洲发生在1482年。)))) and (not (not (((12 - 4) <= (-14 + -3) <= (4 + 18)) or (英国位于北美洲。))))) or ((not (not not (水星是距离太阳第7近的行星。))) or (((... | {
"game_data": {
"answer": "A,B,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 19446451,
"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. ((((((13 + 9) <= (18 - -10) <= (4 + -11)) or ... |
logic-v2 | Given the following boolean expressions:
A. not (((not ((The chemical symbol for Hydrogen is H.) or (There are 28 days in February.))) and (((Neptune is the 8th planet from the Sun.) and (353 is a perfect square.)) or ((-4 - -5) != (1 ** 1)))) or (1901 is a leap year.) or ((not (((7 * 1) <= (-10 * -17)) or ((6 * -2) <... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 92519581,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not (((not ((The chemical symbol for... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((87 is greater than 31.) or (not ((-5 - 17) < (2 * 3 * -9 * -2))) or ((The currency of Russia is the Krone.) and ((A day on Earth is 24 hours.) or ((7 - -19) == (-9 * 4))))) or ((((China is in Antarctica.) and (Australia is in Oceania.)) and ((There are 29 days in Mar... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 78637651,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((87 is greater than 31.) or... |
logic-v2 | Evaluate each expression below:
A. not (not (Spain is in Europe.))
B. (not not (((3 + -12) == (3 * 13)) or ((The 1964 Olympics were held in Athens.) and (The currency of Poland is the Dollar.)))) or ((-15 * -3) < (-15 * -12) < (-1 + 19)) or ((((Russia is in Europe.) or ((4 ** 1) > (40 % 7))) and (not (The capital of N... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 7158655,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not (not (Spain is in Europe.))\nB. (not... |
logic-v2 | Given the following boolean expressions:
A. (not not (Ice is a solid at room temperature.)) and ((((The square root of 169 is 13.) or ((1 ** 3) != (-2 * 8 - -8 * -1))) and (((-17 - -11) == (13 - -13)) or (A chameleon is a reptile.))) and (The currency of Mexico is the Peso.))
B. not not ((World War I ended occurred in... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 66755431,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (not not (Ice is a solid at room t... |
logic-v2 | 给定以下布尔表达式：
A. 光速约为每秒30万公里。
B. ((((not (一月有29天。)) or (韩国位于亚洲。)) and (not not ((-6 * 6 - 8 * 4) >= (13 - -5)))) or ((((10 - -11) != (-10 * -20)) and (((42 % 3) == (1 * -10 * -10 * 8)) and ((47 % 6) > (-2 + -2)))) or ((((2 ** 2) <= (-10 - -9) <= (-5 + 3)) or ((-9 - 12) >= (-13 + -5))) and (((-1 * 1) <= (11 - -20) <= (10 ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 31968974,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. 光速约为每秒30万公里。\nB. ((((not (一月有29天。)) or (韩国位于亚洲。)) and (not not ((-... |
logic-v2 | Consider the following logical expressions:
A. not not ((-16 - 19) >= (-6 + -5))
B. ((There are 29 days in May.) or ((4 ** 2) != (-1 * 1))) or ((3 * -13) != (1 ** 1))
C. (Iron is a solid at room temperature.) or (not (not ((-17 + 2) != (-5 + 4))))
Determine which expressions are true. List all true option labels sepa... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 7544986,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not not ((-16 - 19) >= (-6 + -5)... |
logic-v2 | Given the following boolean expressions:
A. not ((not ((((-1 * -4 + -6 * 5) <= (1 ** 3)) and ((13 - 18) != (-4 + -18))) or ((A chameleon is an insect.) and (Peru is in Oceania.)))) and (((-17 + 14) == (-6 - -8)) or (not ((Nigeria is in Africa.) and (753 is a Fibonacci number.)))))
B. not (not not (((((14 + 19) > (1 * ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 87831127,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not ((not ((((-1 * -4 + -6 * 5) <=... |
logic-v2 | 下面是几个布尔表达式：
A. ((((捷克的首都是惠灵顿。) or ((-20 - 4) != (3 ** 2))) or ((水在常温下是液体。) and (蛇是鱼类。))) and (((硅的化学符号是Si。) or ((-14 - 12) < (-5 * -20))) or ((10 - 7) == (13 + -17)))) and (not not (((-16 + 1) != (10 * -1 - -9 * 10)) and (((-13 * -8) < (10 * 9 * -9 * 2)) and ((-16 * -10) >= (-8 * 19)))))
B. (((((-5 * 5 + 10 * -1) != (... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 96128820,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((((捷克的首都是惠灵顿。) or ((-20 - 4) != (3 ** 2))) or ((水在常温下是液体。) and (... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((((not (((-9 * -8 * 5 * -5) <= (3 - -1)) or (Jupiter is the 2nd planet from the Sun.))) or (((There are 31 days in October.) and ((-18 + 9) <= (-13 - -17))) or (Japan is in Europe.))) or ((Germany is in Europe.) or ((10 * -13) <= (-4 * -7 * -2 * -4)) or ((20 + -19... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 75247388,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((((not (((-9 * -8 * 5... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((((((-7 * 5 - -9 * -3) != (5 ** 2)) and (not (Neptune is the 8th planet from the Sun.))) or ((-4 + 20) <= (12 - 2) <= (2 ** 2))) and ((49 is divisible by 11.) or ((-11 * -1) <= (14 - 1)))) or (not (((3 ** 3) >= (-9 + 4)) or ((-10 + -... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 17398834,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Below are several boolean expressions:
A. not (not (((((10 * 17) == (-3 + 0)) or (((10 * -3 + -3 * 5) == (18 - -8)) and ((42 % 2) > (6 + -4)))) and (Penguins can fly.)) or (Spiders are insects.) or (((((1 ** 3) > (2 ** 2)) or (The chemical symbol for Sodium is Na.)) or (((0 * 1 * 6 * 4) > (6 * -18)) or (51 is greater ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 95018243,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not (not (((((10 * 17) == (-3 + 0)... |
logic-v2 | 分析以下逻辑表达式：
A. not (not (((((三月有31天。) and (马有4条腿。)) and (not not ((10 + -16) <= (17 * 12) <= (2 ** 3)))) or (((14 - -7) != (-6 * 1 + 9 * -5)) and (not not ((-6 - 8) == (3 * -8 - -5 * -7))))) or (摩洛哥的首都是布鲁塞尔。) or (not (not (not ((23 % 7) != (15 - -18)))))))
B. not not (not ((not not (not (((-9 * 5 - 4 * -9) < (-18 - 18)... | {
"game_data": {
"answer": "B,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 72983505,
"true_count": 6
},
"question": "分析以下逻辑表达式：\n\nA. not (not (((((三月有31天。) and (马有4条腿。)) and (not not ((10 +... |
logic-v2 | 检验这些表达式：
A. (not not (((((18 + -17) < (2 + 19) < (3 ** 2)) and ((-9 * 7 + 6 * 8) < (6 * -8 * 7 * -10))) or (((19 % 6) >= (-4 + -9)) and (1924年是闰年。))) and (not not (1929年是闰年。)) and (((地球是距离太阳第3近的行星。) and (氮的化学符号是N。)) or (((9 - -17) == (11 * 19)) and (金在常温下是固体。))))) and (not not (not not (not (((-1 * -4 * 10 * -3) != (-... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 34725591,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not not (((((18 + -17) < (2 + 19) < (3 ** 2)) and ((-9 * 7 + 6 * 8)... |
logic-v2 | Given the following boolean expressions:
A. (not not (not not ((Thailand is in Asia.) or ((-8 * 14) < (-18 - -10))))) or (((13 + -16) >= (-3 * 0 - -2 * -8)) or (The 1904 Olympics were held in St. Louis.) or (The capital of South Korea is Brasilia.))
B. (not (56 is less than or equal to 38.)) or (not not (1970 is a lea... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 70435483,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not not (not not ((Thailand is ... |
logic-v2 | 审视以下逻辑表达式：
A. not (((7 - 5) <= (-15 - -18)) or (((15 % 1) < (-7 - 16)) and (147是偶数。)))
B. not not (钾的化学符号是He。)
C. (((木星是距离太阳第4近的行星。) and (匈牙利的首都是布达佩斯。)) and (地球是距离太阳第2近的行星。)) or ((-7 + 1) < (9 * -5 - 8 * 2) < (5 ** 3)) or ((((-15 + -2) > (11 - -20)) and ((10 + 17) >= (-1 * -2 + -4 * 0))) or ((越南位于亚洲。) or ((3 * -13) !=... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 91395205,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not (((7 - 5) <= (-15 - -18)) or (((15 % 1) < (-7 - 16)) and (147是... |
logic-v2 | Analyze these boolean expressions:
A. (not not (The chemical symbol for Chlorine is Ca.)) or ((((33 % 6) <= (19 % 8)) and (not (178 is an odd number.))) and ((((3 ** 3) != (-16 * -7)) and (World War I began occurred in 1914.)) and ((Mars is the 8th planet from the Sun.) and (A horse has 100 legs.))))
B. ((There are 30... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 82566940,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not not (The chemical symbol for Chlorine... |
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