env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Given the following boolean expressions:
A. not not (((((19 - 10) <= (13 % 7) <= (-6 * -6)) or ((2 % 6) >= (4 * -5 + 5 * 6))) and (Ice is a liquid at room temperature.)) and ((((18 - -3) <= (-6 * 9 + 1 * 3)) and (The capital of Spain is Ottawa.)) and ((New Zealand is in Oceania.) and ((12 + 2) <= (-16 + -3)))))
B. (((... | {
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"answer": "D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 9961078,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not (((((19 - 10) <= (13 % 7) <... |
logic-v2 | 给定以下布尔表达式：
A. not ((((not not (摩洛哥位于非洲。)) and (((2008年奥运会在北京举办。) or ((20 * -19) >= (11 * 16))) and (匈牙利的货币是福林。))) and ((not not (第一次世界大战结束发生在1918年。)) or ((1932年奥运会在洛杉矶举办。) or (光速约为每秒30万公里。))) and (not not (((火星是距离太阳第6近的行星。) and ((-20 * -6) > (-19 * 14))) and (not ((1 - -3) == (19 * 16)))))) or (not not ((((1996年奥运会在巴黎... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 29587669,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. not ((((not not (摩洛哥位于非洲。)) and (((2008年奥运会在北京举办。) or ((20 * -19... |
logic-v2 | 给定以下布尔表达式：
A. not (not (((太阳绕地球运转。) or ((10 * -2 * 8 * -3) <= (5 ** 1) <= (5 - -9))) or (((3 * 3 * 8 * -3) < (4 ** 3)) or ((-13 * -16) != (-2 * -1 - -10 * -8)))))
B. (((韩国的货币是里拉。) and ((木星是距离太阳第6近的行星。) and ((24 % 6) <= (18 + -14) <= (-19 + -7)))) or (挪威的货币是克朗。)) and (((((3 % 7) < (-8 - 11)) or (哥伦比亚的首都是波哥大。)) or ((2 *... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 27379525,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. not (not (((太阳绕地球运转。) or ((10 * -2 * 8 * -3) <= (5 ** 1) <= ... |
logic-v2 | Analyze these boolean expressions:
A. ((not not (The capital of India is Singapore.)) or (not ((A chameleon is a reptile.) or (The speed of light is approximately 300,000 km/s.)))) or (not not ((((6 - 7) >= (-2 * 4 + -2 * 7)) and (The capital of Philippines is Manila.)) and (The currency of Colombia is the Peso.)))
B.... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 2663950,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((not not (The capital of India is Sing... |
logic-v2 | 审视以下逻辑表达式：
A. ((((欧盟的货币是欧元。) and (not not ((37 % 7) != (2 * 8 * 8 * -9)))) and ((not not ((7 - -17) < (-2 + -16))) or (not not (1924年奥运会在巴黎举办。)))) and ((((7 - -3) < (-13 - -3) < (-10 * 2 + -2 * 0)) or (摩洛哥位于南极洲。)) or ((印度尼西亚的首都是雅加达。) or (not (鳄鱼是爬行动物。))))) or (not not ((((7是质数。) and ((-15 - 10) == (9 * -4 * 5 * 10))) ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 22506980,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((((欧盟的货币是欧元。) and (not not ((37 % 7) != (2 * 8 * 8 * -9)))) and... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((A dog has 4 legs.) and ((not (The capital of Greece is Singapore.)) and ((66 is divisible by 3.) or (The chemical symbol for Silicon is H.)))) and (not ((23 % 2) == (16 * 10))) and (not ((((-2 * 9 + 2 * -5) == (-6 * 8 + -5 * -7)) or (Copper is a solid at room temper... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 64930072,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((A dog has 4 legs.) and ((... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (((-2 - -12) <= (-19 + -4) <= (5 ** 2)) and ((19 - 12) < (11 - -16)))
B. (The chemical symbol for Oxygen is N.) and (((3 * 6 * 3 * 0) >= (-20 - 19)) and ((4 ** 2) >= (-7 * 5 * -4 * 9))) and (The currency of Australia is the Won.)
C. (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 9817188,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA. ... |
logic-v2 | Review these logical expressions:
A. not not (((The capital of Spain is Mexico City.) or (Carbon dioxide is a gas at room temperature.)) and (((A tuna is a fish.) or (The chemical symbol for Potassium is K.)) or ((14 + 4) <= (19 % 1) <= (16 + -2))))
B. not not ((not (The capital of Ukraine is Nairobi.)) and (not (((5 ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 8602420,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not not (((The capital of Spain is Mexico ... |
logic-v2 | 分析以下逻辑表达式：
A. not not (芬兰的首都是伯尔尼。)
B. not ((2 * 3 * -1 * -1) != (-6 * 1 - -5 * 5))
C. 人类每只手有五个手指。
D. not (((水在常温下是固体。) and (2077年是闰年。)) or (not ((-8 * -7 * -6 * 7) >= (-8 * 9 + -9 * 4))))
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 73586587,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. not not (芬兰的首都是伯尔尼。)\nB. not ((2 * 3 * -1 * -1) != (-6 * 1 - -5 * ... |
logic-v2 | Evaluate each expression below:
A. The capital of Poland is Warsaw.
B. (((-2 * -4 - 7 * -6) != (-7 * -8)) or (Earth is the 6th planet from the Sun.)) and (((11 - 11) < (7 * 13) < (14 - 3)) or (Oxygen is a gas at room temperature.))
C. not (The currency of Canada is the Franc.)
D. (The currency of Indonesia is the Rubl... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 67266689,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. The capital of Poland is Warsaw.\nB. (((-... |
logic-v2 | Examine these expressions:
A. A duck has 2 legs.
B. (((0 * -1 * -7 * -4) <= (-16 * -1)) or (A bird has 2 legs.)) and (((-7 * -7 * -9 * 5) > (-1 * 4)) or (World War I began occurred in 1914.))
C. ((1926 is a leap year.) and ((-11 - 13) >= (7 + -5))) or (not (Thailand is in South America.))
D. ((The human body has 150 b... | {
"game_data": {
"answer": "A,B,C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 89890926,
"true_count": 7
},
"question": "Examine these expressions:\n\nA. A duck has 2 legs.\nB. (((0 * -1 * -7 ... |
logic-v2 | Consider the following logical expressions:
A. ((not (((South Korea is in Asia.) or (The chemical symbol for Neon is Cu.)) or (((-11 * 16) != (-16 + 6)) or ((1 * 7 + 1 * 6) >= (13 - 18))))) and (not not (not not ((The currency of Egypt is the Dollar.) or ((-13 + 7) >= (-19 + -4)))))) and (not (not ((The capital of Spa... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 71052381,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. ((not (((South Korea is i... |
logic-v2 | Analyze these boolean expressions:
A. Brazil is in Europe.
B. (((8 - 0) < (-11 * 9) < (-16 - -16)) and ((10 * -18) >= (-9 * 13))) or (Argentina is in South America.)
C. not (((-16 + -18) < (-6 - -9)) and ((-15 * -4) < (2 + 3) < (-3 - 1)))
D. Uranus is the 2nd planet from the Sun.
Which of these evaluate to True? Prov... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 31527254,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. Brazil is in Europe.\nB. (((8 - 0) < (-1... |
logic-v2 | 研究以下逻辑语句：
A. not not ((((铀的化学符号是U。) or ((5 ** 2) <= (-12 - 10) <= (5 ** 1))) or ((蜻蜓是昆虫。) and ((5 ** 2) < (-20 + 14) < (-3 + 2)))) and ((0 - 6) != (2 * 4 + -6 * 1)) and ((((-6 * -7 + -1 * 7) < (3 - -2)) or (铜的化学符号是H。)) and ((西班牙位于欧洲。) and ((11 * -11) == (-6 * -5)))))
B. (not not ((((8 + -20) < (20 % 3)) and (意大利的首都是罗马... | {
"game_data": {
"answer": "B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 81342090,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. not not ((((铀的化学符号是U。) or ((5 ** 2) <= (-12 - 10) <= (5 ** 1)... |
logic-v2 | Analyze these boolean expressions:
A. ((The 2008 Olympics were held in Seoul.) and ((Mars is the 2nd planet from the Sun.) and ((-9 - -16) < (-2 + 13))) and ((((-4 + 18) <= (13 % 2)) and (There are 30 days in April.)) or ((The chemical symbol for Nitrogen is Ca.) or ((-1 * -8) != (-20 - 11))))) or ((-3 * 7) < (-1 * -1... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 78565717,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((The 2008 Olympics were held in Seoul... |
logic-v2 | Examine these expressions:
A. (not not (not (((3 * 3 - -4 * 6) != (3 * -6 * -5 * -6)) or ((The currency of European Union is the Euro.) and ((8 * -5 * -5 * -6) == (5 - 8)))))) and ((((Neptune is the 1st planet from the Sun.) or ((0 - 7) == (2 * 14))) and (not ((27 % 8) == (-3 * -6 + 8 * -9))) and ((not not (The chemic... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 20568397,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (not not (not (((3 * 3 - -4 * 6) != (3 * -6 * -5... |
logic-v2 | Below are several boolean expressions:
A. not (not not (((not (not not ((1 * -1 - -4 * 7) != (1 * 2 + -7 * -5)))) and (The currency of Hungary is the Forint.)) and ((((-4 * -2 * 0 * -4) != (-14 * 5)) or ((19 - 10) < (-15 * -15))) and ((A mosquito is an insect.) and ((2 ** 1) <= (-19 * 1)))) and ((not not (The 1900 Oly... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 2599152,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not (not not (((not (not not ((1 * -1... |
logic-v2 | 分析以下逻辑表达式：
A. (not (not (not not (巴西位于南美洲。)))) or ((not not ((苏联解体发生在1991年。) and (苏联解体发生在1993年。))) or (not (蜘蛛有8条腿。)))
B. ((泰坦尼克号沉没发生在1912年。) or (not ((16 - -17) < (8 * 15))) or ((not ((10 * -12) == (17 + 19))) and ((肯尼亚的首都是利雅得。) and (俄罗斯位于欧洲。)))) and ((not ((俄罗斯的货币是比索。) or (印度位于亚洲。))) or (not not ((英国位于大洋洲。) and (哥伦布... | {
"game_data": {
"answer": "A,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 10879630,
"true_count": 6
},
"question": "分析以下逻辑表达式：\n\nA. (not (not (not not (巴西位于南美洲。)))) or ((not not ((苏联解体发生在1... |
logic-v2 | 检验这些表达式：
A. ((not ((牛是哺乳动物。) and ((-14 * -10) == (1 * -1 + -4 * 4)))) and (((英国位于欧洲。) or (俄罗斯的首都是莫斯科。)) or ((金星是距离太阳第2近的行星。) and ((1 + 18) == (-15 - -6))))) or (((土星是距离太阳第6近的行星。) and (11大于92。)) or ((1980年奥运会在莫斯科举办。) or ((-19 + 19) == (-18 - 7)))) or ((氮气在常温下是气体。) and (空气在常温下是气体。) and (印度尼西亚的货币是印尼盾。))
B. ((1992年奥运会在蒙特利... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 70447290,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. ((not ((牛是哺乳动物。) and ((-14 * -10) == (1 * -1 + -4 * 4)))) and ... |
logic-v2 | Consider the following logical expressions:
A. (The 2004 Olympics were held in Athens.) or (not (A rabbit is a reptile.))
B. (not ((8 % 1) > (13 % 9))) or (((1 - 1) != (21 % 4)) and (There are 31 days in March.))
C. (((2 - 3) != (-11 * 18)) and ((2 * 5) != (-1 + 3))) and ((The chemical symbol for Potassium is K.) and ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 93718305,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (The 2004 Olympics were held ... |
logic-v2 | Given the following boolean expressions:
A. (-3 * -2) == (14 * -3)
B. (not not ((11 * -7) <= (12 * -1))) or (((3 ** 2) >= (6 % 3)) and ((-1 * -7 + -6 * 2) < (24 % 3)))
C. ((20 + -17) <= (1 * -6) <= (27 % 4)) or (((-7 * -1 - 9 * -3) < (2 + -14) < (9 * 13)) and (42 is a prime number.))
D. not not (((13 % 5) >= (-9 + 19)... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 47069679,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (-3 * -2) == (14 * -3)\nB. (not no... |
logic-v2 | Study the following logical statements:
A. (not ((((-8 * 11) <= (18 * -13)) and ((2 - 5) < (-1 * -3))) and (((2 * 8) != (4 * -5 + -6 * 6)) and (The 1896 Olympics were held in Antwerp.)))) or (India is in Asia.) or (((((3 ** 2) < (-9 * -3 + 0 * 2)) and (Helium is a solid at room temperature.)) and (Bats are blind.)) an... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 44558747,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (not ((((-8 * 11) <= (18 * -13)) ... |
logic-v2 | 研究以下逻辑语句：
A. 水星是距离太阳第1近的行星。
B. (蚂蚁有6条腿。) and (((-2 - 16) <= (9 - 16)) and (瑞士的首都是伯尔尼。))
C. (5 ** 3) > (0 * 6 - -7 * -5)
D. (-4 + 19) > (-5 * -2)
E. ((41 % 6) == (9 * -1 - 2 * 10)) or (((-14 + -15) > (5 ** 3)) or ((1 % 9) < (-9 * 0)))
F. ((第一次世界大战结束发生在1920年。) or ((-12 - 15) == (-8 - 14))) or (not (天王星是距离太阳第7近的行星。))
哪些... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 67788217,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. 水星是距离太阳第1近的行星。\nB. (蚂蚁有6条腿。) and (((-2 - 16) <= (9 - 16)) and... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not (((((7 - -19) != (6 + 12)) or ((Mexico is in North America.) and ((2 ** 3) != (9 + 11)))) and (not ((11 + 2) >= (5 + -2))) and ((33 % 10) < (10 + -15))) and (((((13 + -13) == (-20 * 5)) and (Indonesia is in Asia.)) and (((30 % 5) == (2 - 16)) or (2037 is a... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 54558611,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not (((((7 - -1... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (人体有150块骨头。) or (地球是距离太阳第3近的行星。) or (((14 * -16) <= (-10 * 4 * -3 * 2)) or ((水星是距离太阳第8近的行星。) or (秘鲁的货币是索尔。)))
B. ((((11 - 1) != (-7 * 15)) or (100的平方根是7。)) and ((4 * -6 + -7 * -5) != (4 ** 1))) and (not not (((13 + 11) <= (-12 * 15) <= (4 * 3 - -9 * 4)) or (地球绕太阳运转。)))
C. (not not ((1956年奥运会在巴... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 58448250,
"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. (人体有150块骨头。) or (地球是距离太阳第3近的行星。) or (((14 * -16) <= (... |
logic-v2 | 给定以下布尔表达式：
A. ((not not (not ((-20 * -9) != (-18 + -11)))) and (not ((-10 * -5 * 5 * -3) < (2 - 12)))) and ((水蒸气在常温下是气体。) and (((-18 - -16) >= (20 * 12)) or ((-14 - -15) <= (46 % 8)))) and ((((金在常温下是气体。) and ((2 ** 3) <= (9 * -5 + 5 * -5) <= (6 * 3 * -8 * 10))) and (天王星是距离太阳第7近的行星。)) or ((((20 % 10) >= (5 ** 3)) and (... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 54244787,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((not not (not ((-20 * -9) != (-18 + -11)))) and (not ((-10 * ... |
logic-v2 | Analyze these boolean expressions:
A. (14 + 4) >= (-13 * -5)
B. not (not (The Earth revolves around the Sun.))
C. ((The currency of Switzerland is the Franc.) or ((31 % 8) == (4 * -13))) and (The 1976 Olympics were held in Montreal.)
D. World War I ended occurred in 1913.
Which of these evaluate to True? Provide all ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 33134266,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (14 + 4) >= (-13 * -5)\nB. not (not (The... |
logic-v2 | Evaluate each expression below:
A. The chemical symbol for Nitrogen is N.
B. not not (((33 % 10) == (10 * 6)) or ((5 * 1 + -3 * -9) != (-10 * -4)))
C. not not (((20 + -10) >= (10 % 7)) or ((15 % 4) < (16 - -9)))
D. (not not (1993 is a leap year.)) and (((-7 * -8 + -7 * -4) > (10 + -20)) or ((-6 * -10 + -8 * -8) >= (5 ... | {
"game_data": {
"answer": "A,B,C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 33906597,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. The chemical symbol for Nitrogen is N... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((The 1972 Olympics were held in Munich.) and (not not (There are 29 days in February.))) or (not not (not ((-1 * -6 + -7 * 4) <= (3 * -10 * 5 * 0))))
B. (((South Africa is in Africa.) and (2064 is a leap year.)) or (not ((-3 * -1 * 10 * ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 52728744,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Given the following boolean expressions:
A. not not (not not ((8 * -3 - 3 * 5) < (-18 * -11) < (-2 + 19)))
B. (((The Moon orbits the Earth.) or ((64 is divisible by 7.) or ((44 % 2) < (-7 - 11)))) and (((China is in Antarctica.) and ((9 + 6) >= (-4 * -10))) and ((0 + -9) != (3 * 6)))) or ((((Mercury is the 1st planet ... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 60303438,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not (not not ((8 * -3 - 3 * 5)... |
logic-v2 | 下面是几个布尔表达式：
A. not ((-1 - -11) < (-18 + 8))
B. (巴西的首都是巴西利亚。) and (1999年是闰年。)
C. (not not (64的平方根是8。)) or (((19 * 8) >= (15 % 4)) and (((3 * -2 * -7 * -3) != (15 - -8)) and (泰坦尼克号沉没发生在1914年。)))
D. ((not not (日本位于亚洲。)) and (not not (新西兰位于大洋洲。))) or (2003年是闰年。) or (((第一次世界大战开始发生在1913年。) or ((0 - 5) != (5 ** 2))) and (((-... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 5428847,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not ((-1 - -11) < (-18 + 8))\nB. (巴西的首都是巴西利亚。) and (1999年是闰年... |
logic-v2 | Consider the following logical expressions:
A. (not (not not (not ((-7 + -3) < (-4 + 9) < (4 * 17))))) or (((((17 + 20) <= (-17 * 20) <= (9 * 19)) or (The chemical symbol for Sodium is Na.)) and ((World War II began occurred in 1939.) and (2037 is a leap year.))) or (not (The 1912 Olympics were held in Montreal.)))
B.... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 64145804,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (not (not not (not ((-7 + -3)... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((((14 + 18) < (17 - 7)) or ((10 * -5 + -4 * 1) >= (0 * -5 - -2 * 3))) or (意大利位于欧洲。))
B. (((not (氧的化学符号是S。)) or ((1988年奥运会在首尔举办。) and ((-6 - -18) < (24 % 1)))) and ((2 + 19) <= (-6 * -4 + -9 * 5))) or ((((鳟鱼是哺乳动物。) or (麻雀是鸟类。)) and (not not ((5 % 2) < (-10 * 5 + 10 * 7)))) or ((not not ((-10 * ... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 19552428,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((((14 + 18) < (17 - 7)) or ((10 * -5 + -4 * 1) >= (0 ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((-8 * -2) != (-18 - -9)) and (A lobster has 100 legs.)
B. The chemical symbol for Chlorine is Cl.
C. (-10 * -8) > (-18 + -1)
D. (((7 * 1 - 6 * -9) != (5 ** 2)) or ((-10 + 7) < (-8 * 18))) and ((The currency of South Africa is the Rand.) and (Helium is a gas at room te... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 26739730,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((-8 * -2) != (-18 - -9)... |
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 (((5 ** 3) == (-16 + -2)) and ((4 * -10 - -2 * -3) < (-6 * 1 - 8 * 1) < (5 * 5 - -3 * -3))))
B. ((not not ((15 + 6) != (0 * -2 - 8 * 4))) or (((15 % 2) < (-15 - 17)) or ((31 % 1) < (48 % 3)))) or (not not (not ((5 ** 1) == (0 * 3 + 8 * -4))))
C. (not ((加拿大的首都是渥太华。) or (熊是哺乳动物。... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 15789743,
"true_count": 3
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not (not not (((5 ** 3) == (-16 + -2)) and ((4 ... |
logic-v2 | Consider the following logical expressions:
A. (2 ** 3) != (3 ** 1)
B. not (((-20 * 19) < (30 % 10)) and ((17 % 10) <= (-5 * 3) <= (18 % 10)))
C. not not ((3 * -10 - 0 * -9) < (8 - -17))
Determine which expressions are true. List all true option labels separated by commas in \boxed{}. | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 74930267,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (2 ** 3) != (3 ** 1)\nB. not ... |
logic-v2 | 评估以下每个表达式：
A. 氯的化学符号是Ne。
B. 钠的化学符号是Na。
C. ((1965年是闰年。) or ((4 - -11) <= (41 % 3))) and ((-2 * -7 * 8 * 1) <= (-7 * 6 + 7 * -9))
D. 月球绕地球运转。
E. not (((2 ** 1) < (6 * -7 + 8 * 7)) or ((2 * 19) <= (-11 - 6)))
F. (not not ((-10 - -11) == (-12 - -14))) and (((5 * -9 * 0 * 10) < (-13 - -19) < (-7 * -7 - -4 * 7)) and (2000年奥... | {
"game_data": {
"answer": "B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 53462105,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. 氯的化学符号是Ne。\nB. 钠的化学符号是Na。\nC. ((1965年是闰年。) or ((4 - -11) <= (4... |
logic-v2 | Analyze these boolean expressions:
A. The currency of Canada is the Dollar.
B. (not (New Zealand is in Oceania.)) and (not not ((0 + -10) < (-9 * 19)))
C. (7 * 1 + -7 * -8) != (5 - -14)
Which of these evaluate to True? Provide all true option labels separated by commas in \boxed{}. | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 15312434,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. The currency of Canada is the Dollar.\nB... |
logic-v2 | 审视以下逻辑表达式：
A. not ((第一次世界大战开始发生在1919年。) or (121的平方根是11。))
B. not (((1 * 9 - 10 * 3) <= (-5 * 8 - -9 * -8)) and (摩洛哥的首都是内罗毕。))
C. (18 * 1) < (13 * -9) < (9 * -8 + 9 * 7)
D. (not not ((25 % 3) <= (5 * -3 + -4 * 5) <= (17 * 11))) and (第一次世界大战结束发生在1923年。)
E. not (not not (月球绕地球运转。))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 33919886,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not ((第一次世界大战开始发生在1919年。) or (121的平方根是11。))\nB. not (((1 * 9 - 10 ... |
logic-v2 | Analyze these boolean expressions:
A. not not (((5 ** 1) != (2 ** 2)) and (((-3 * -4 - 5 * 4) != (2 * 3 - 1 * -8)) or (((9 * -8 * 3 * -6) >= (4 + 11)) and (Nitrogen is a liquid at room temperature.))))
B. (not (((Neptune is the 8th planet from the Sun.) or (A tiger is a mammal.)) or (((-16 - -10) <= (44 % 3)) or (The ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 36001126,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not not (((5 ** 1) != (2 ** 2)) and ((... |
logic-v2 | Study the following logical statements:
A. (Christopher Columbus reached America occurred in 1492.) or ((-5 * 6) <= (1 ** 1))
B. not not ((368 is a perfect square.) and (The 1920 Olympics were held in Athens.))
C. not ((-9 - 0) == (2 % 5))
D. not not (not not ((-6 * -1 + 6 * 0) == (13 - -9)))
Which statements are tru... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 53626878,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (Christopher Columbus reached Ameri... |
logic-v2 | 下面是几个布尔表达式：
A. (-14 - -20) < (17 * 5)
B. not (企鹅能飞翔。)
C. (印度尼西亚的货币是新西兰元。) and (太阳绕地球运转。)
D. 海王星是距离太阳第4近的行星。
E. ((荷兰的首都是莫斯科。) and ((-5 * -9) >= (11 + 5))) or ((-20 + 17) != (-8 * -4))
F. (钻石在常温下是固体。) or (1924年奥运会在巴黎举办。)
G. ((金星是距离太阳第4近的行星。) or (52能被2整除。)) and (((-10 * 9 + -8 * 0) < (10 * -7 + -4 * -9)) and (美国宣布独立发生在17... | {
"game_data": {
"answer": "A,B,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 20069781,
"true_count": 5
},
"question": "下面是几个布尔表达式：\n\nA. (-14 - -20) < (17 * 5)\nB. not (企鹅能飞翔。)\nC. (印度尼西亚的货币是新西兰... |
logic-v2 | 研究以下逻辑语句：
A. ((闪电不会两次击中同一个地方。) and ((3 * 7 * -8 * 5) >= (1 ** 2))) or ((10 * -10 - 4 * 8) <= (-9 * 7 * 9 * 7))
B. (((19 + 14) > (17 * 12)) and ((-3 * -20) <= (-17 - -8))) and (((3 ** 2) >= (19 * -15)) or (76能被4整除。))
C. ((水星是距离太阳第3近的行星。) and ((3 ** 1) >= (4 ** 1))) or ((5 ** 1) < (-2 * -1 * -6 * -4))
D. (not not ((16 -... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 48554781,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. ((闪电不会两次击中同一个地方。) and ((3 * 7 * -8 * 5) >= (1 ** 2))) or ((10 * -... |
logic-v2 | Study the following logical statements:
A. (((The speed of light is approximately 300,000 km/s.) or ((99 is a prime number.) or (Antarctica is the coldest continent.)) or (((5 * -3) < (-14 + -19) < (11 + 1)) or (Italy is in Europe.))) or (not (Mexico is in North America.))) and (not ((Iron is a solid at room temperatu... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 39068810,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (((The speed of light is approximat... |
logic-v2 | 分析以下逻辑表达式：
A. (企鹅能飞翔。) and (鲱鱼是鱼类。)
B. 1920年是闰年。
C. (10 * -1 + -2 * 4) < (15 - -16) < (-2 * -4 * -8 * -8)
D. ((2000年奥运会在洛杉矶举办。) or (2071年是闰年。)) and ((0 - 1) > (5 ** 3))
E. (-13 + -18) < (7 * -20) < (2 ** 3)
F. (-17 + -13) == (-5 - 10)
G. not ((-5 + -17) <= (7 * -4 + 3 * 9))
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 87119526,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (企鹅能飞翔。) and (鲱鱼是鱼类。)\nB. 1920年是闰年。\nC. (10 * -1 + -2 * 4) < (15... |
logic-v2 | Examine these expressions:
A. The first Olympic Games of modern era occurred in 1896.
B. A crab has 0 legs.
C. (((13 - 16) == (6 * 8)) or ((-3 * -3 * 3 * -7) <= (9 - -7))) or ((1993 is a leap year.) and (A crab has 10 legs.))
D. (A koala is a mammal.) and ((2 ** 1) == (1 * -4 + 1 * -2))
E. Uranus is the 3rd planet fro... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 86733728,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. The first Olympic Games of modern era occurred i... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((16 + -9) > (3 + 10)) or ((The chemical symbol for Aluminum is O.) or ((20 % 4) != (-4 * -1 * 0 * 4)))) or (The square root of 81 is 12.)
B. not ((((8 + -5) != (-5 * -6 - 4 * -1)) or (A cockroach is an insect.)) or ((Oxygen is a gas at room temperature.) and ((16 - 1... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 34219495,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((16 + -9) > (3 + 10)) or ((T... |
logic-v2 | 给定以下布尔表达式：
A. not not ((((0 - -2) > (2 * 6 + 5 * 2)) or (火星是距离太阳第4近的行星。)) or (((-18 + -7) >= (1 * -6)) or ((-9 * -19) <= (-2 * 2 * -1 * -2))))
B. (not not ((-1 * 8 + 5 * -9) <= (-3 * 2 + 3 * 9) <= (-3 * 4 * 2 * -2))) or ((1912年奥运会在斯德哥尔摩举办。) and (氮气在常温下是气体。)) or (not ((猪有4条腿。) and ((6 * 1 + -6 * -6) <= (17 * 0))))
C. (... | {
"game_data": {
"answer": "A,B,C,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 72263277,
"true_count": 7
},
"question": "给定以下布尔表达式：\n\nA. not not ((((0 - -2) > (2 * 6 + 5 * 2)) or (火星是距离太阳第4近的... |
logic-v2 | Analyze these boolean expressions:
A. not ((not not (not not (((1 * 8) <= (-7 + -17)) and ((-17 * 16) <= (1 * 8 * -1 * -5) <= (15 + -3))))) or (((((-5 * -5 * 7 * 0) > (19 * 5)) and (World War II ended occurred in 1945.)) or ((-9 - 10) == (-2 + 9))) and (The capital of Morocco is Riyadh.)) or (not (((((-7 * 2 - -10 * 3... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 45961846,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not ((not not (not not (((1 * 8) <= (-7 ... |
logic-v2 | 考虑以下布尔表达式：
A. not (not ((((5 ** 2) > (2 ** 1)) and (氧气在常温下是气体。) and (((印度位于非洲。) and (镍的化学符号是Ni。)) and ((泰国位于亚洲。) or (冰的密度比液态水小。)))) and (((13 + -2) > (-8 - 15)) or ((not not (鸡是哺乳动物。)) or ((-7 + -15) < (22 % 8))))))
B. not not (not (not not (not ((((-11 * 5) == (6 - -20)) or ((35 % 9) >= (17 * -5))) and (not not ((11 ... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 97180252,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not (not ((((5 ** 2) > (2 ** 1)) and (氧气在常温下是气体。) and (((印度位于非洲。... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not (挪威的货币是韩元。)) or (土星是距离太阳第7近的行星。)) and ((20 - -6) > (-1 * -10 - 6 * -7)) and ((加拿大的货币是加元。) and ((现代奥运会首届举办发生在1898年。) or ((18 + 18) <= (0 * -1 * 2 * -1))))) or (((not ((-13 * -2) < (-3 * -9 - -3 * 2) < (-13 + -1))) and ((4 ** 2) <= (4 * 10 + -6 * 10))) or ((智利的货币是比索。) and ((6 + 0) == (-9 + 12)... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 98443908,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not (挪威的货币是韩元。)) or (土星是距离太阳第7近的行星。)) and ((20 - -6) ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((((A bird has 10 legs.) and ((-12 - 14) < (34 % 10))) and ((There are 28 days in December.) and (The currency of Poland is the Zloty.))) or (not (((4 ** 2) != (-17 - 0)) or (A bee is a bird.)))) and ((The 1936 Olympics were held in Berlin.) or ((1 ** 3) <= (-13 * 19))... | {
"game_data": {
"answer": "B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 29542268,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((((A bird has 10 legs.)... |
logic-v2 | 检验这些表达式：
A. not not ((((12 - 19) <= (-3 - -4) <= (-3 + 9)) and (火星是距离太阳第1近的行星。)) and (((4 ** 3) != (8 + -3)) or (铂的化学符号是N。)))
B. ((1992年奥运会在巴塞罗那举办。) or ((酒精在常温下是液体。) or (1936年奥运会在柏林举办。))) or (((225是斐波那契数。) and ((-8 * 12) > (-6 + -7))) and (((5 ** 1) < (6 % 8) < (-15 - 20)) and (中国位于非洲。)))
C. (((一月有28天。) or (哥伦布到达美洲发生在... | {
"game_data": {
"answer": "B,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 70916258,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not not ((((12 - 19) <= (-3 - -4) <= (-3 + 9)) and (火星是距离太阳第1近... |
logic-v2 | 审视以下逻辑表达式：
A. (17 + -19) > (4 % 1)
B. 智利位于南美洲。
C. not ((1 ** 2) != (4 * -6))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 52827355,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (17 + -19) > (4 % 1)\nB. 智利位于南美洲。\nC. not ((1 ** 2) != (4 * -6))\n... |
logic-v2 | Evaluate each expression below:
A. not (not not (not not (not not ((4 ** 3) <= (-5 - -16) <= (-1 * 6)))))
B. not (not ((((-5 * 16) == (6 + -2)) and (not not ((There are 31 days in April.) and (Nitrogen is a gas at room temperature.)))) or (((not not ((4 + 1) < (7 * 17))) or ((A snake has 0 legs.) or ((7 * -8) != (4 **... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 65735350,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (not not (not not (not not ((4 ** 3) ... |
logic-v2 | Analyze these boolean expressions:
A. not ((not not (((3 ** 2) == (7 * 9 * 8 * 3)) or ((((-10 * 6 * -2 * -10) == (2 ** 1)) and ((11 * -7) == (-5 * 10 + 4 * 3))) or (((3 * -9 - 0 * 3) < (5 ** 2)) and ((3 ** 2) < (43 % 6)))))) or (not not (not ((14 + -13) == (1 + -14)))))
B. not ((not ((Vietnam is in South America.) and... | {
"game_data": {
"answer": "G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 9298096,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not ((not not (((3 ** 2) == (7 * 9 * 8 * 3)... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((3 * 4 - -4 * 9) < (-9 * 14)) or (((秘鲁的首都是利马。) or (火星是距离太阳第4近的行星。)) and (not not (水在常温下是液体。)))
B. not not ((((6 - 11) <= (3 ** 1) <= (9 * -10 * -10 * 2)) or (第一部iPhone发布发生在2007年。)) and ((铂的化学符号是Ca。) and ((-3 + -1) >= (12 - -18))))
C. (not not ((-5 + 2) >= (5 + -9))) and ((4 ** 2) > (-1 * -10)) and... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 5196761,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((3 * 4 - -4 * 9) < (-9 * 14)) or (((秘鲁的首都是利马。) or (火星是距离太阳第4... |
logic-v2 | Review these logical expressions:
A. not (((-1 * 0 * -2 * 1) != (-15 * 5)) and ((11 * -5) == (8 * 10 + 5 * 3)))
B. The chemical symbol for Hydrogen is He.
C. not not ((17 * -4) > (21 % 3))
D. (not not (Neptune is the 1st planet from the Sun.)) or (not (Wood is a solid at room temperature.))
E. (The chemical symbol for... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 1231096,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not (((-1 * 0 * -2 * 1) != (-15 * 5)) and ... |
logic-v2 | Analyze these boolean expressions:
A. not (((not (((2013 is a leap year.) and (The Sun revolves around the Earth.)) and (The chemical symbol for Gold is Co.))) or ((-9 * 6 * -3 * -10) >= (9 - -3)) or ((not not ((1 ** 1) >= (0 * -8 * 3 * -5))) and ((not (Mercury is the 1st planet from the Sun.)) and (Humans only use 10... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 1887845,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not (((not (((2013 is a leap year.) and (Th... |
logic-v2 | Study the following logical statements:
A. ((((not not (The chemical symbol for Calcium is Ca.)) or (The chemical symbol for Chromium is Cr.)) and (The capital of Austria is Manila.)) and (not (not ((The 2024 Olympics were held in Paris.) and (There are 31 days in May.))))) and (not ((34 % 7) <= (16 + -13) <= (-20 * -... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 21703728,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. ((((not not (The chemical symbol fo... |
logic-v2 | Consider the following logical expressions:
A. ((11 - -10) < (-5 * 2)) or (((-1 * -14) <= (1 + 17) <= (-17 * -3)) or ((-13 * -13) == (16 - -15)))
B. Indonesia is in Asia.
C. (-19 - 7) < (-11 + 2) < (12 % 7)
D. (15 * -13) == (16 - -17)
E. not not (((2 ** 3) >= (10 % 2)) or (Nigeria is in Africa.))
F. (2 ** 2) <= (10 + ... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 68597799,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. ((11 - -10) < (-5 * 2)) or ... |
logic-v2 | Below are several boolean expressions:
A. not not (((not not (((5 ** 2) > (20 + 11)) or (There are 28 days in February.))) and ((((6 * -6 + 2 * -7) >= (16 + 5)) and ((-19 + -12) < (-10 * 9 - 10 * 5))) or ((The currency of European Union is the Rupiah.) and (The first moon landing occurred in 1969.)))) and ((not ((1933... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 49520272,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not not (((not not (((5 ** 2) > (20 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((新加坡的货币是印尼盾。) or (((0 * -16) > (10 * 9)) or (智利的首都是圣地亚哥。))) or ((not (第二次世界大战结束发生在1945年。)) and (not ((17 - 8) < (42 % 8) < (5 ** 3))))
B. (印度尼西亚位于亚洲。) and ((217是完全平方数。) and (not not ((-14 + -20) >= (-8 * -5 - 0 * 0))))
C. (not ((2 * -2 * 1 * -1) <= (1 ** 3))) or (not ((-12 * -2) >= (5 ** 3)))... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 83551994,
"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. ((新加坡的货币是印尼盾。) or (((0 * -16) > (10 * 9)) or (智利的... |
logic-v2 | 评估以下每个表达式：
A. (((马来西亚的货币是林吉特。) and (((-1 * 6 * -8 * -7) < (-2 * 1 + 8 * 0) < (-6 * 12)) and (118是完全平方数。)) and ((94是质数。) or ((水星是距离太阳第6近的行星。) and ((16 - 15) < (11 + 16) < (5 ** 2))))) and ((not ((伦敦大火发生在1676年。) and (韩国的货币是兹罗提。))) or (瑞士的首都是伯尔尼。))) or (((新加坡的货币是瑞士法郎。) or ((-20 - 7) < (-2 * 12)) or (not ((1904年奥运会在圣路易斯举办... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 8164103,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (((马来西亚的货币是林吉特。) and (((-1 * 6 * -8 * -7) < (-2 * 1 + 8 * 0) < (-... |
logic-v2 | Review these logical expressions:
A. not not (not (not not (((Light travels faster than sound.) or ((-15 - -17) < (6 - 11))) and ((World War I ended occurred in 1918.) or (The 1924 Olympics were held in Paris.)) and ((not ((11 * 1) > (-9 + -16))) or (((-13 * -17) < (0 * -7 + 3 * -10)) or ((5 * -9 + 8 * 7) < (-12 * 4))... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 14943514,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not not (not (not not (((Light travels fast... |
logic-v2 | Examine these expressions:
A. not (not ((not not (((1 - 5) == (3 ** 3)) or (not not (A penguin is a reptile.)))) or (((((-3 + 6) < (16 + -19)) or ((15 - -3) <= (-1 - -18))) or ((The capital of Egypt is Cairo.) or (A octopus has 10 legs.))) and ((Mercury is a solid at room temperature.) or (((-20 * -18) != (11 - -9)) o... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 5189587,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not (not ((not not (((1 - 5) == (3 ** 3)) or (not... |
logic-v2 | Consider the following logical expressions:
A. The capital of Russia is Bangkok.
B. not ((The capital of China is Vienna.) or (The currency of Colombia is the Baht.))
C. ((Italy is in Europe.) and ((-15 * 6) != (-6 * -7))) or ((The chemical symbol for Hydrogen is H.) or ((-5 * 4 - -1 * -5) > (16 - -20)))
D. (-14 * -1)... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 20588346,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. The capital of Russia is Bang... |
logic-v2 | 给定以下布尔表达式：
A. not (not ((((not (地球是距离太阳第3近的行星。)) or (not not ((-18 - -6) != (2 ** 1)))) and ((1900年奥运会在巴黎举办。) or (((-14 - -20) != (-3 * 0 + 10 * 1)) and ((-8 - -17) > (15 - -4))))) and (((5 - -1) != (14 - 7)) or (((-4 * -6 - 7 * 2) <= (4 % 4)) or (芬兰的首都是赫尔辛基。)) or ((not ((8 * -17) < (-17 - -5) < (49 % 1))) and (((2 * ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 32660605,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not (not ((((not (地球是距离太阳第3近的行星。)) or (not not ((-18 - -6) != ... |
logic-v2 | Given the following boolean expressions:
A. (not (not not ((The chemical symbol for Neon is Ne.) and (not ((Mars is the 4th planet from the Sun.) or (The currency of Peru is the Lira.)))))) or (not (((A fish has 2 legs.) and (not not ((-17 - -1) <= (4 + 11)))) or (not (not ((The capital of New Zealand is Wellington.) ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 36841510,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (not (not not ((The chemical symbo... |
logic-v2 | 评估以下每个表达式：
A. not not ((not ((((泰坦尼克号沉没发生在1917年。) and (尼日利亚位于非洲。)) or ((天王星是距离太阳第7近的行星。) or ((20 + -14) < (47 % 3)))) and (not not ((-10 * -1 - -3 * 2) < (0 - -18))))) and (not not ((((-12 - -20) != (10 % 5)) and (水蒸气在常温下是气体。)) and (((秘鲁的货币是新加坡元。) or ((2 ** 3) != (-18 + 17))) and ((1984年奥运会在伦敦举办。) or (火星是距离太阳第3近的行星。))... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 22145382,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not ((not ((((泰坦尼克号沉没发生在1917年。) and (尼日利亚位于非洲。)) or ((天王星是距离太阳... |
logic-v2 | 评估以下每个表达式：
A. ((not (((-16 + 18) <= (15 * -3)) or (47小于等于49。))) and ((1948年奥运会在斯德哥尔摩举办。) and (袋鼠有2条腿。)) and (not (油在常温下是液体。))) or ((((闪电不会两次击中同一个地方。) or ((2 + 1) <= (8 * 7 + 3 * 1) <= (9 + 20))) and ((-1 * 4 - -1 * 9) != (4 ** 1))) or (((26大于67。) and (鲸鱼是鱼类。)) or ((金星是距离太阳第4近的行星。) or (三文鱼是鱼类。))))
B. not not (((((2 ** ... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 18022193,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. ((not (((-16 + 18) <= (15 * -3)) or (47小于等于49。))) and ((1948年奥... |
logic-v2 | 给定以下布尔表达式：
A. ((not ((((-10 * 5 + -5 * 1) <= (12 + 14) <= (5 * 20)) and (沙特阿拉伯的货币是卢布。)) or (莱特兄弟首次飞行发生在1902年。))) and ((not not ((-13 * 16) < (-20 - 3))) or ((168是奇数。) and ((7 * 10 * -3 * 4) > (3 ** 1))) or ((not (新西兰位于北美洲。)) or ((第一部iPhone发布发生在2008年。) and ((-17 * 3) <= (4 - -1) <= (4 * 20)))))) and ((not (((1992年奥运会在蒙... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 24054215,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((not ((((-10 * 5 + -5 * 1) <= (12 + 14) <= (5 * 20)) and (沙特阿拉伯的货... |
logic-v2 | Below are several boolean expressions:
A. not not (not ((1 ** 1) <= (5 * 6)))
B. not not ((not not ((The capital of Egypt is Ottawa.) or (The 2024 Olympics were held in Tokyo.))) or (The chemical symbol for Nickel is Ni.) or ((Mars is the 4th planet from the Sun.) and ((The first iPhone was released occurred in 2007.)... | {
"game_data": {
"answer": "B,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 22108418,
"true_count": 6
},
"question": "Below are several boolean expressions:\n\nA. not not (not ((1 ** 1) <= (5... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (11 - 18) == (-9 * -2 + 8 * 5)
B. The chemical symbol for Nickel is Si.
C. (Steam is a gas at room temperature.) or (not (Mercury is a liquid at room temperature.))
D. not not (World War I began occurred in 1914.)
E. (((1 ** 3) != (46 % 4)) and ((-13 - -18) > (-17 - 12... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 64682959,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (11 - 18) == (-9 * -2 + 8 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not ((not not (((-9 - 12) <= (-10 * -6) <= (4 ** 3)) or ((8 * -2 + -10 * -10) <= (-8 * -10 + -1 * -2)))) and ((16 * 14) < (13 * -2)) and ((-14 * -10) > (-5 * 6 + -6 * 3)))) and (not not (not (not (((-7 * 6 - 10 * -3) >= (6 + -11)) and (锌的化学符号是Si。)))))
B. (not ((铀的化学符号是O。) or (沙特阿拉伯的首都是北京。))) ... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 97474187,
"true_count": 3
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (not ((not not (((-9 - 12) <= (-10 * -6) <= (4 ** 3... |
logic-v2 | Review these logical expressions:
A. not ((Helium is a liquid at room temperature.) or (The square root of 9 is 3.))
B. The currency of Sweden is the Franc.
C. (19 - 0) < (-19 * -11) < (2 ** 1)
D. The speed of light is approximately 300,000 km/s.
Which expressions are true? Answer with comma-separated labels in \boxe... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 76856267,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not ((Helium is a liquid at room temperatur... |
logic-v2 | 下面是几个布尔表达式：
A. (((not not (((2016年奥运会在巴黎举办。) and (西班牙位于欧洲。)) and ((氖的化学符号是Ne。) or ((6 + -10) <= (-20 * 17))))) or (not (摩洛哥位于非洲。))) and ((not not (not not (not (1982年是闰年。)))) or (not not ((not (第一部iPhone发布发生在2007年。)) and ((1964年奥运会在东京举办。) and ((-4 - -15) >= (8 - 16))))))) and (not (not ((not not (((22 % 10) <= (-8 + -... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 96425441,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (((not not (((2016年奥运会在巴黎举办。) and (西班牙位于欧洲。)) and ((氖的化学符号是Ne。) o... |
logic-v2 | Study the following logical statements:
A. not not (not not (not not ((Mercury is the 1st planet from the Sun.) or (97 is a prime number.))))
B. ((((There are 30 days in June.) and (There are 31 days in October.)) or (((-9 * -4) <= (-17 + 2) <= (0 * -7)) and (A cow is a reptile.))) and ((-4 * 9 + 2 * 3) == (6 - 14))) ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 26705121,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not (not not (not not ((Mercu... |
logic-v2 | 评估以下每个表达式：
A. (not (((50是质数。) or (not not ((氢的化学符号是Mg。) or (1924年奥运会在巴黎举办。)))) or (((大象有4条腿。) or ((蝙蝠是瞎的。) or (139是完全平方数。))) and ((8 - 8) == (8 * 17)) and ((哥伦布到达美洲发生在1502年。) or (氢的化学符号是Fe。))))) or (not ((not not (((火星是距离太阳第4近的行星。) or ((6 * -8 + 4 * 1) != (-14 - -16))) or ((土星是距离太阳第6近的行星。) and ((-4 * 7 - -9 * -5) <= (... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 61479668,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not (((50是质数。) or (not not ((氢的化学符号是Mg。) or (1924年奥运会在巴黎举办。))... |
logic-v2 | Given the following boolean expressions:
A. (((3 ** 3) != (-12 - 13)) and (Sound travels faster in a vacuum.)) and ((16 + -11) >= (-2 * 11))
B. World War I began occurred in 1916.
C. ((The 1904 Olympics were held in Athens.) and (Humans have three lungs.)) or (not ((-19 * -10) < (16 * -19)))
D. (((-13 * -5) != (-10 - ... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 25418372,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (((3 ** 3) != (-12 - 13)) and (S... |
logic-v2 | Given the following boolean expressions:
A. (not ((The currency of Israel is the Shekel.) and ((-19 * -8) >= (2 * 3 + -9 * 2)) and ((((-5 * 5) != (9 * 0 + -1 * -6)) and ((32 % 8) >= (7 * 3 - 1 * 4))) and (((27 % 10) > (3 * -7 - -8 * 3)) and ((4 * -11) == (-15 + 4)))))) and (((not not (The Moon orbits the Earth.)) or (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 26297778,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. (not ((The currency of Israel is the... |
logic-v2 | Study the following logical statements:
A. (-9 - -12) > (4 - 0)
B. The currency of Czech Republic is the Rupiah.
C. (16 % 4) <= (-3 - -13)
Which statements are true? Put all true option labels in \boxed{}, separated by commas. | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 98716652,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (-9 - -12) > (4 - 0)\nB. The currency... |
logic-v2 | Below are several boolean expressions:
A. not not (not not (((The chemical symbol for Helium is He.) or (((The French Revolution began occurred in 1789.) and (The capital of Denmark is Abuja.)) or (((-13 - -14) == (-4 * -1 + -2 * -8)) or ((17 + 3) > (-13 + 2))))) and (not not (((-6 - -20) >= (-15 - 0)) or ((-8 - 6) ==... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 19211976,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not (not not (((The chemical s... |
logic-v2 | 检验这些表达式：
A. 柏林墙倒塌发生在1989年。
B. not not ((伦敦大火发生在1664年。) and ((4 - -9) <= (0 * -9 + -9 * 0)))
C. (((9 * 6 - 9 * -9) <= (-7 * -3)) and ((1 ** 3) < (-9 * -2 - -6 * 7) < (7 - 12))) or (((42 % 7) > (6 * -17)) and (1932年是闰年。))
D. 海王星是距离太阳第7近的行星。
E. not not (((7 * -13) < (2 * 9 + 3 * 0) < (-6 + 0)) and ((4 + 14) != (10 * -10 ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 3701486,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. 柏林墙倒塌发生在1989年。\nB. not not ((伦敦大火发生在1664年。) and ((4 - -9) <= (0 * -... |
logic-v2 | Examine these expressions:
A. not not ((Water boils at 100 degrees Celsius at sea level.) and ((4 * 1 - -1 * -3) != (-3 + 17)))
B. (-7 + -6) < (1 % 2) < (8 * 7 - -8 * -5)
C. ((The Titanic sank occurred in 1912.) and (Saturn is the 6th planet from the Sun.)) or (not not (The Sun revolves around the Earth.))
Which ones... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 49070284,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not ((Water boils at 100 degrees Celsius a... |
logic-v2 | Evaluate each expression below:
A. not (Christopher Columbus reached America occurred in 1492.)
B. ((not not (1909 is a leap year.)) and (not not (The capital of Sweden is Bogota.))) and (The currency of Thailand is the Rupee.)
C. ((The 1988 Olympics were held in Seoul.) and ((-1 - -17) != (1 * -6 + 3 * 0))) or (((15 ... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 87728491,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (Christopher Columbus reached America o... |
logic-v2 | Examine these expressions:
A. ((5 ** 2) < (15 - 19) < (-2 * -5 + -1 * -2)) or ((-9 - -5) > (0 * 0))
B. ((The Earth revolves around the Sun.) and ((-20 * -16) >= (4 ** 3))) or ((41 is a perfect square.) and (The chemical symbol for Magnesium is S.))
C. ((A crab has 10 legs.) or ((2 ** 1) <= (-10 * 2 * -7 * -6) <= (16 +... | {
"game_data": {
"answer": "B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 21114099,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. ((5 ** 2) < (15 - 19) < (-2 * -5 + -1 * -2... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 水星是距离太阳第1近的行星。
B. 九月有28天。
C. not not ((766是斐波那契数。) and (智利的货币是比索。))
D. (not (大象有4条腿。)) or ((-6 * -7) > (17 - -14))
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,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 67710022,
"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. 水星是距离太阳第1近的行星。\nB. 九月有28天。\nC. not not ((766是斐波那契数。) ... |
logic-v2 | 研究以下逻辑语句：
A. not not (((not not (((天王星是距离太阳第2近的行星。) or ((-8 * -10) < (-11 + -13))) and ((木星是距离太阳第8近的行星。) or (蜘蛛是昆虫。)))) and (((((-2 - 15) == (-14 + -14)) or (钙的化学符号是Si。)) or (智利位于南美洲。)) or ((((-19 - -10) < (-8 * 3 - -7 * 0) < (14 * -18)) and (金星是距离太阳第2近的行星。)) or (((-17 - -18) != (-5 * 4 + 8 * 1)) and (太平洋是最大的海洋。))))) ... | {
"game_data": {
"answer": "B,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 5244168,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. not not (((not not (((天王星是距离太阳第2近的行星。) or ((-8 * -10) < (-11... |
logic-v2 | 检验这些表达式：
A. not ((((not (((10 * -5 - -6 * 0) >= (17 * -1)) and (锌的化学符号是Zn。))) and ((not ((-5 - 0) <= (-18 * -11) <= (-1 - -4))) or (not (271是完全平方数。)))) or (not (not not ((-8 * 0 + 6 * -9) >= (-8 - 9))))) or ((not not ((36 % 8) > (5 * -9 - -5 * -9))) or ((((乌克兰的首都是基辅。) or (1936年奥运会在首尔举办。)) or (氧气在常温下是液体。)) and ((10 - 1... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 30509473,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not ((((not (((10 * -5 - -6 * 0) >= (17 * -1)) and (锌的化学符号是Zn。))) an... |
logic-v2 | Examine these expressions:
A. not not ((50 % 8) == (-17 * -14))
B. (not not (not not ((-8 * 10) < (-6 - 13)))) and (not ((1976 is a leap year.) and (137 is an odd number.)))
C. ((Venus is the 4th planet from the Sun.) or (((17 * -19) == (2 ** 2)) or ((-8 * 5 - 10 * 9) < (-14 - -7)))) or (((19 + 5) <= (20 * 9)) or (Mer... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 6629225,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not ((50 % 8) == (-17 * -14))\nB. (not not (n... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (not (((not (英国的货币是英镑。)) or (not not ((4 ** 3) > (11 % 5)))) or ((((-5 - -18) < (-14 * -10)) or (1996年奥运会在北京举办。)) or ((新西兰的货币是新西兰元。) and ((35 % 9) <= (-5 + 14) <= (9 * 6 - -10 * -5))))))
B. not not (((((-5 * 0 + -5 * 7) == (-9 + 2)) and ((章鱼有6条腿。) and (金星是距离太阳第2近的行星。))) and ((((7 * 4 * -6 * 5) ... | {
"game_data": {
"answer": "A,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 29751886,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (not (((not (英国的货币是英镑。)) or (not not ((4 ** 3) > (11... |
logic-v2 | 下面是几个布尔表达式：
A. not (((菲律宾的货币是卢比。) or (法国大革命开始发生在1789年。)) and ((3 * -13) <= (2 - 7)))
B. (((831是斐波那契数。) or (硫的化学符号是Cl。)) or (((-10 * -10 + 9 * 7) <= (-19 * -9) <= (12 * -2)) or ((19 * -3) != (-4 * 20)))) or (not not (not (氧气在常温下是气体。)))
C. ((((4 ** 2) <= (1 * 17) <= (-10 * -8 * 2 * 0)) or ((5 ** 2) == (-9 + 15))) and ((... | {
"game_data": {
"answer": "B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 71565265,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not (((菲律宾的货币是卢比。) or (法国大革命开始发生在1789年。)) and ((3 * -13) <=... |
logic-v2 | Analyze these boolean expressions:
A. (1 - -2) >= (10 * 16)
B. ((Peru is in South America.) or ((3 ** 1) >= (2 ** 1))) and ((-7 * -4) <= (6 + 13) <= (7 * 2))
C. (Mars is the 4th planet from the Sun.) or (not (Uranus is the 2nd planet from the Sun.))
D. (Lightning never strikes the same place twice.) or (Carbon dioxide... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 78712032,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (1 - -2) >= (10 * 16)\nB. ((Peru is in S... |
logic-v2 | 分析以下逻辑表达式：
A. not not (not not ((((((-10 * 0 - 3 * 1) < (10 + 16) < (7 + -18)) or ((-13 + 10) <= (-3 + 11) <= (-4 * -7 - -7 * -7))) or ((氯的化学符号是Zn。) and (伦敦大火发生在1656年。))) or (((17 + -11) != (14 * 9)) and (泰国位于亚洲。)) or ((捷克的货币是索尔。) or ((意大利的首都是罗马。) and (印度位于非洲。)))) or ((((南非位于非洲。) and ((-10 * 17) < (-8 * 0 * 4 * -9))) ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 69096874,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. not not (not not ((((((-10 * 0 - 3 * 1) < (10 + 16) < (7 + -18... |
logic-v2 | Evaluate each expression below:
A. (not ((The capital of Peru is Berlin.) or (((Earth is the 4th planet from the Sun.) and (The 1936 Olympics were held in Berlin.)) and ((1 * -6 + 2 * 7) < (4 ** 2))))) and ((not (89 is an even number.)) or ((not not (France is in Europe.)) or ((((-18 * 10) != (4 * -3 + -3 * 1)) or (20... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 1467876,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (not ((The capital of Peru is Berlin.) or ((... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not ((not ((6 * -9) <= (-16 - 1) <= (-18 - 8))) or ((Mercury is the 1st planet from the Sun.) and ((8 - 12) > (-4 * 0))))) and (((3 ** 3) <= (-12 * 13)) or (((-19 * -18) > (17 - 11)) or (2013 is a leap year.)))
B. (not not ((((-9 * -7 + 1 * 9) <= (5 % 1)) and ((4 ... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 77279843,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not ((not ((6 * -9) <... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((8 * 1 * 7 * -7) >= (2 ** 2)) or ((泰国位于亚洲。) and (金星是距离太阳第2近的行星。))) and (((-9 * 15) > (2 ** 3)) or (印度的货币是泰铢。)) and ((not not (地球上一天是24小时。)) and ((36 % 2) == (-10 * -15)))) or (((not not (十月有31天。)) or ((-8 - 8) > (4 * -12))) and ((25 % 2) == (0 * 4 + -1 * 10)))
B. ((not (莱特兄弟首次飞行发生在1903年。)) and (... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 2156983,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((8 * 1 * 7 * -7) >= (2 ** 2)) or ((泰国位于亚洲。) and (金星是距离... |
logic-v2 | Examine these expressions:
A. (8 * 5 + -2 * 2) > (18 + -7)
B. (not (New Zealand is in South America.)) or (not not ((31 % 3) <= (-6 * 10 - 2 * 4)))
C. (not not (The capital of Finland is Riyadh.)) or (not ((-11 + 5) >= (0 * 15)))
D. (((-3 * 20) > (1 ** 1)) and ((-8 * 7 + 8 * -1) <= (4 * 10 - -5 * -7))) or ((The curren... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 37957271,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (8 * 5 + -2 * 2) > (18 + -7)\nB. (not (New Z... |
logic-v2 | 分析以下逻辑表达式：
A. 1972年奥运会在圣路易斯举办。
B. 尼日利亚的货币是比索。
C. 韩国的货币是兰特。
D. 100的平方根是10。
E. ((钻石由碳元素组成。) and (蜜蜂是昆虫。)) or (((0 + 8) > (-5 - 2)) or (1996年奥运会在伦敦举办。))
F. (32 % 6) <= (17 * 17)
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 85103589,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. 1972年奥运会在圣路易斯举办。\nB. 尼日利亚的货币是比索。\nC. 韩国的货币是兰特。\nD. 100的平方根是10。... |
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